%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN503+1 : TPTP v8.1.0. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n024.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 13:53:42 EDT 2022 % Result : Theorem 0.67s 0.92s % Output : Proof 0.84s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYN503+1 : TPTP v8.1.0. Released v2.1.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.13/0.33 % Computer : n024.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % 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 13:22:13 EDT 2022 % 0.13/0.34 % CPUTime : % 0.67/0.92 (* PROOF-FOUND *) % 0.67/0.92 % SZS status Theorem % 0.67/0.92 (* BEGIN-PROOF *) % 0.67/0.92 % SZS output start Proof % 0.67/0.92 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((c2_1 (a213))/\((~(c1_1 (a213)))/\(~(c3_1 (a213)))))))/\(((~(hskp1))\/((ndr1_0)/\((c2_1 (a214))/\((~(c0_1 (a214)))/\(~(c3_1 (a214)))))))/\(((~(hskp2))\/((ndr1_0)/\((c2_1 (a215))/\((~(c0_1 (a215)))/\(~(c1_1 (a215)))))))/\(((~(hskp3))\/((ndr1_0)/\((c0_1 (a216))/\((c1_1 (a216))/\(~(c2_1 (a216)))))))/\(((~(hskp4))\/((ndr1_0)/\((~(c1_1 (a217)))/\((~(c2_1 (a217)))/\(~(c3_1 (a217)))))))/\(((~(hskp5))\/((ndr1_0)/\((c3_1 (a218))/\((~(c1_1 (a218)))/\(~(c2_1 (a218)))))))/\(((~(hskp6))\/((ndr1_0)/\((c1_1 (a220))/\((c2_1 (a220))/\(~(c3_1 (a220)))))))/\(((~(hskp7))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(~(c0_1 (a223)))))))/\(((~(hskp8))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c2_1 (a225)))))))/\(((~(hskp9))\/((ndr1_0)/\((c0_1 (a226))/\((~(c1_1 (a226)))/\(~(c2_1 (a226)))))))/\(((~(hskp10))\/((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231)))))))/\(((~(hskp11))\/((ndr1_0)/\((c0_1 (a236))/\((~(c2_1 (a236)))/\(~(c3_1 (a236)))))))/\(((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237)))))))/\(((~(hskp13))\/((ndr1_0)/\((c2_1 (a239))/\((c3_1 (a239))/\(~(c1_1 (a239)))))))/\(((~(hskp14))\/((ndr1_0)/\((c3_1 (a241))/\((~(c0_1 (a241)))/\(~(c1_1 (a241)))))))/\(((~(hskp15))\/((ndr1_0)/\((c1_1 (a242))/\((~(c0_1 (a242)))/\(~(c2_1 (a242)))))))/\(((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245)))))))/\(((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248)))))))/\(((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252)))))))/\(((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255)))))))/\(((~(hskp20))\/((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257)))))))/\(((~(hskp21))\/((ndr1_0)/\((c0_1 (a259))/\((c3_1 (a259))/\(~(c2_1 (a259)))))))/\(((~(hskp22))\/((ndr1_0)/\((~(c0_1 (a271)))/\((~(c1_1 (a271)))/\(~(c2_1 (a271)))))))/\(((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274)))))))/\(((~(hskp24))\/((ndr1_0)/\((c1_1 (a280))/\((~(c2_1 (a280)))/\(~(c3_1 (a280)))))))/\(((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320)))))))/\(((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))))/\(((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261))))))/\(((~(hskp28))\/((ndr1_0)/\((c0_1 (a282))/\((c1_1 (a282))/\(c2_1 (a282))))))/\(((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/(hskp0))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp1)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp3)\/(hskp4)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))))/\(((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))))/\(((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))))/\(((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp5)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))))/\(((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((hskp3)\/(hskp6)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((hskp2)\/(hskp0)))/\(((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/(forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))))/\(((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp7)))/\(((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp1)\/(hskp8)))/\(((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9)))/\(((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp6)\/(hskp5)))/\(((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp0)\/(hskp4)))/\(((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c1_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp10)))/\(((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c1_1 X27))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(hskp8)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(hskp1)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp5)))/\(((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))))/\(((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11)))/\(((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12)))/\(((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((hskp3)\/(hskp13)))/\(((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10)))/\(((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp14)))/\(((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp15)))/\(((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26)))/\(((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8)))/\(((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((hskp16)\/(hskp7)))/\(((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((hskp10)\/(hskp17)))/\(((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp10)))/\(((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9)))/\(((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/(hskp1)))/\(((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18)))/\(((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp3)\/(hskp6)))/\(((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))))/\(((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/(hskp19)))/\(((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/(hskp8)))/\(((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp20)\/(hskp4)))/\(((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp21)\/(hskp19)))/\(((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2)))/\(((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))))/\(((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp18)\/(hskp19)))/\(((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp12)\/(hskp17)))/\(((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(hskp5)))/\(((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))))/\(((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))))/\(((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp1)))/\(((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/((hskp12)\/(hskp21)))/\(((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp22)))/\(((forall X94 : zenon_U, ((ndr1_0)->((c1_1 X94)\/((~(c0_1 X94))\/(~(c3_1 X94))))))\/((forall X95 : zenon_U, ((ndr1_0)->((c3_1 X95)\/((~(c0_1 X95))\/(~(c2_1 X95))))))\/(hskp18)))/\(((forall X94 : zenon_U, ((ndr1_0)->((c1_1 X94)\/((~(c0_1 X94))\/(~(c3_1 X94))))))\/((hskp26)\/(hskp23)))/\(((forall X94 : zenon_U, ((ndr1_0)->((c1_1 X94)\/((~(c0_1 X94))\/(~(c3_1 X94))))))\/((hskp16)\/(hskp4)))/\(((forall X94 : zenon_U, ((ndr1_0)->((c1_1 X94)\/((~(c0_1 X94))\/(~(c3_1 X94))))))\/((hskp1)\/(hskp19)))/\(((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/((hskp15)\/(hskp24)))/\(((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp5)))/\(((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))))/\(((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp28)))/\(((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((hskp26)\/(hskp9)))/\(((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))))/\(((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp3)\/(hskp27)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/(hskp28)))/\(((forall X95 : zenon_U, ((ndr1_0)->((c3_1 X95)\/((~(c0_1 X95))\/(~(c2_1 X95))))))\/((hskp7)\/(hskp6)))/\(((forall X115 : zenon_U, ((ndr1_0)->((~(c0_1 X115))\/((~(c1_1 X115))\/(~(c2_1 X115))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))))/\(((forall X115 : zenon_U, ((ndr1_0)->((~(c0_1 X115))\/((~(c1_1 X115))\/(~(c2_1 X115))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp22)))/\(((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2)))/\(((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp10)\/(hskp8)))/\(((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29)))/\(((hskp3)\/(hskp16))/\(((hskp20)\/((hskp11)\/(hskp1)))/\(((hskp20)\/((hskp10)\/(hskp2)))/\(((hskp20)\/((hskp23)\/(hskp4)))/\(((hskp18)\/((hskp9)\/(hskp22)))/\(((hskp18)\/((hskp27)\/(hskp17)))/\(((hskp12)\/((hskp16)\/(hskp13)))/\(((hskp12)\/((hskp1)\/(hskp0)))/\((hskp25)\/(hskp19)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 0.67/0.92 Proof. % 0.67/0.92 assert (zenon_L1_ : (~(hskp12)) -> (hskp12) -> False). % 0.67/0.92 do 0 intro. intros zenon_H1 zenon_H2. % 0.67/0.92 exact (zenon_H1 zenon_H2). % 0.67/0.92 (* end of lemma zenon_L1_ *) % 0.67/0.92 assert (zenon_L2_ : (~(hskp1)) -> (hskp1) -> False). % 0.67/0.92 do 0 intro. intros zenon_H3 zenon_H4. % 0.67/0.92 exact (zenon_H3 zenon_H4). % 0.67/0.92 (* end of lemma zenon_L2_ *) % 0.67/0.92 assert (zenon_L3_ : (~(hskp0)) -> (hskp0) -> False). % 0.67/0.92 do 0 intro. intros zenon_H5 zenon_H6. % 0.67/0.92 exact (zenon_H5 zenon_H6). % 0.67/0.92 (* end of lemma zenon_L3_ *) % 0.67/0.92 assert (zenon_L4_ : ((hskp12)\/((hskp1)\/(hskp0))) -> (~(hskp12)) -> (~(hskp1)) -> (~(hskp0)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H7 zenon_H1 zenon_H3 zenon_H5. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H8 ]. % 0.67/0.92 exact (zenon_H1 zenon_H2). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_H4 | zenon_intro zenon_H6 ]. % 0.67/0.92 exact (zenon_H3 zenon_H4). % 0.67/0.92 exact (zenon_H5 zenon_H6). % 0.67/0.92 (* end of lemma zenon_L4_ *) % 0.67/0.92 assert (zenon_L5_ : (~(ndr1_0)) -> (ndr1_0) -> False). % 0.67/0.92 do 0 intro. intros zenon_H9 zenon_Ha. % 0.67/0.92 exact (zenon_H9 zenon_Ha). % 0.67/0.92 (* end of lemma zenon_L5_ *) % 0.67/0.92 assert (zenon_L6_ : (forall X95 : zenon_U, ((ndr1_0)->((c3_1 X95)\/((~(c0_1 X95))\/(~(c2_1 X95)))))) -> (ndr1_0) -> (~(c3_1 (a237))) -> (c0_1 (a237)) -> (c2_1 (a237)) -> False). % 0.67/0.92 do 0 intro. intros zenon_Hb zenon_Ha zenon_Hc zenon_Hd zenon_He. % 0.67/0.92 generalize (zenon_Hb (a237)). zenon_intro zenon_Hf. % 0.67/0.92 apply (zenon_imply_s _ _ zenon_Hf); [ zenon_intro zenon_H9 | zenon_intro zenon_H10 ]. % 0.67/0.92 exact (zenon_H9 zenon_Ha). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H10); [ zenon_intro zenon_H12 | zenon_intro zenon_H11 ]. % 0.67/0.92 exact (zenon_Hc zenon_H12). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H11); [ zenon_intro zenon_H14 | zenon_intro zenon_H13 ]. % 0.67/0.92 exact (zenon_H14 zenon_Hd). % 0.67/0.92 exact (zenon_H13 zenon_He). % 0.67/0.92 (* end of lemma zenon_L6_ *) % 0.67/0.92 assert (zenon_L7_ : (~(hskp7)) -> (hskp7) -> False). % 0.67/0.92 do 0 intro. intros zenon_H15 zenon_H16. % 0.67/0.92 exact (zenon_H15 zenon_H16). % 0.67/0.92 (* end of lemma zenon_L7_ *) % 0.67/0.92 assert (zenon_L8_ : (~(hskp6)) -> (hskp6) -> False). % 0.67/0.92 do 0 intro. intros zenon_H17 zenon_H18. % 0.67/0.92 exact (zenon_H17 zenon_H18). % 0.67/0.92 (* end of lemma zenon_L8_ *) % 0.67/0.92 assert (zenon_L9_ : ((forall X95 : zenon_U, ((ndr1_0)->((c3_1 X95)\/((~(c0_1 X95))\/(~(c2_1 X95))))))\/((hskp7)\/(hskp6))) -> (c2_1 (a237)) -> (c0_1 (a237)) -> (~(c3_1 (a237))) -> (ndr1_0) -> (~(hskp7)) -> (~(hskp6)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H19 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H15 zenon_H17. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H19); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a ]. % 0.67/0.92 apply (zenon_L6_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1a); [ zenon_intro zenon_H16 | zenon_intro zenon_H18 ]. % 0.67/0.92 exact (zenon_H15 zenon_H16). % 0.67/0.92 exact (zenon_H17 zenon_H18). % 0.67/0.92 (* end of lemma zenon_L9_ *) % 0.67/0.92 assert (zenon_L10_ : (~(hskp3)) -> (hskp3) -> False). % 0.67/0.92 do 0 intro. intros zenon_H1b zenon_H1c. % 0.67/0.92 exact (zenon_H1b zenon_H1c). % 0.67/0.92 (* end of lemma zenon_L10_ *) % 0.67/0.92 assert (zenon_L11_ : (~(hskp16)) -> (hskp16) -> False). % 0.67/0.92 do 0 intro. intros zenon_H1d zenon_H1e. % 0.67/0.92 exact (zenon_H1d zenon_H1e). % 0.67/0.92 (* end of lemma zenon_L11_ *) % 0.67/0.92 assert (zenon_L12_ : ((hskp3)\/(hskp16)) -> (~(hskp16)) -> (~(hskp3)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H1f zenon_H1d zenon_H1b. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H1f); [ zenon_intro zenon_H1c | zenon_intro zenon_H1e ]. % 0.67/0.92 exact (zenon_H1b zenon_H1c). % 0.67/0.92 exact (zenon_H1d zenon_H1e). % 0.67/0.92 (* end of lemma zenon_L12_ *) % 0.67/0.92 assert (zenon_L13_ : (forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28)))))) -> (ndr1_0) -> (~(c0_1 (a223))) -> (c1_1 (a223)) -> (c2_1 (a223)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H20 zenon_Ha zenon_H21 zenon_H22 zenon_H23. % 0.67/0.92 generalize (zenon_H20 (a223)). zenon_intro zenon_H24. % 0.67/0.92 apply (zenon_imply_s _ _ zenon_H24); [ zenon_intro zenon_H9 | zenon_intro zenon_H25 ]. % 0.67/0.92 exact (zenon_H9 zenon_Ha). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H25); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ]. % 0.67/0.92 exact (zenon_H21 zenon_H27). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_H29 | zenon_intro zenon_H28 ]. % 0.67/0.92 exact (zenon_H29 zenon_H22). % 0.67/0.92 exact (zenon_H28 zenon_H23). % 0.67/0.92 (* end of lemma zenon_L13_ *) % 0.67/0.92 assert (zenon_L14_ : (~(hskp10)) -> (hskp10) -> False). % 0.67/0.92 do 0 intro. intros zenon_H2a zenon_H2b. % 0.67/0.92 exact (zenon_H2a zenon_H2b). % 0.67/0.92 (* end of lemma zenon_L14_ *) % 0.67/0.92 assert (zenon_L15_ : (~(hskp17)) -> (hskp17) -> False). % 0.67/0.92 do 0 intro. intros zenon_H2c zenon_H2d. % 0.67/0.92 exact (zenon_H2c zenon_H2d). % 0.67/0.92 (* end of lemma zenon_L15_ *) % 0.67/0.92 assert (zenon_L16_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((hskp10)\/(hskp17))) -> (c2_1 (a223)) -> (c1_1 (a223)) -> (~(c0_1 (a223))) -> (ndr1_0) -> (~(hskp10)) -> (~(hskp17)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H2e zenon_H23 zenon_H22 zenon_H21 zenon_Ha zenon_H2a zenon_H2c. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H20 | zenon_intro zenon_H2f ]. % 0.67/0.92 apply (zenon_L13_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H2b | zenon_intro zenon_H2d ]. % 0.67/0.92 exact (zenon_H2a zenon_H2b). % 0.67/0.92 exact (zenon_H2c zenon_H2d). % 0.67/0.92 (* end of lemma zenon_L16_ *) % 0.67/0.92 assert (zenon_L17_ : (forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))) -> (ndr1_0) -> (~(c2_1 (a248))) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c1_1 X27)))))) -> (c1_1 (a248)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H30 zenon_Ha zenon_H31 zenon_H32 zenon_H33. % 0.67/0.92 generalize (zenon_H30 (a248)). zenon_intro zenon_H34. % 0.67/0.92 apply (zenon_imply_s _ _ zenon_H34); [ zenon_intro zenon_H9 | zenon_intro zenon_H35 ]. % 0.67/0.92 exact (zenon_H9 zenon_Ha). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H37 | zenon_intro zenon_H36 ]. % 0.67/0.92 exact (zenon_H31 zenon_H37). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H39 | zenon_intro zenon_H38 ]. % 0.67/0.92 generalize (zenon_H32 (a248)). zenon_intro zenon_H3a. % 0.67/0.92 apply (zenon_imply_s _ _ zenon_H3a); [ zenon_intro zenon_H9 | zenon_intro zenon_H3b ]. % 0.67/0.92 exact (zenon_H9 zenon_Ha). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H3d | zenon_intro zenon_H3c ]. % 0.67/0.92 exact (zenon_H39 zenon_H3d). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H37 | zenon_intro zenon_H38 ]. % 0.67/0.92 exact (zenon_H31 zenon_H37). % 0.67/0.92 exact (zenon_H38 zenon_H33). % 0.67/0.92 exact (zenon_H38 zenon_H33). % 0.67/0.92 (* end of lemma zenon_L17_ *) % 0.67/0.92 assert (zenon_L18_ : (~(hskp8)) -> (hskp8) -> False). % 0.67/0.92 do 0 intro. intros zenon_H3e zenon_H3f. % 0.67/0.92 exact (zenon_H3e zenon_H3f). % 0.67/0.92 (* end of lemma zenon_L18_ *) % 0.67/0.92 assert (zenon_L19_ : (forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19)))))) -> (ndr1_0) -> (~(c1_1 (a245))) -> (~(c3_1 (a245))) -> (c0_1 (a245)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H40 zenon_Ha zenon_H41 zenon_H42 zenon_H43. % 0.67/0.92 generalize (zenon_H40 (a245)). zenon_intro zenon_H44. % 0.67/0.92 apply (zenon_imply_s _ _ zenon_H44); [ zenon_intro zenon_H9 | zenon_intro zenon_H45 ]. % 0.67/0.92 exact (zenon_H9 zenon_Ha). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H47 | zenon_intro zenon_H46 ]. % 0.67/0.92 exact (zenon_H41 zenon_H47). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H49 | zenon_intro zenon_H48 ]. % 0.67/0.92 exact (zenon_H42 zenon_H49). % 0.67/0.92 exact (zenon_H48 zenon_H43). % 0.67/0.92 (* end of lemma zenon_L19_ *) % 0.67/0.92 assert (zenon_L20_ : ((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c1_1 X27))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(hskp8))) -> (~(c0_1 (a223))) -> (c1_1 (a223)) -> (c2_1 (a223)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> (~(hskp8)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H4a zenon_H4b zenon_H21 zenon_H22 zenon_H23 zenon_H4c zenon_H43 zenon_H42 zenon_H41 zenon_H3e. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H32 | zenon_intro zenon_H50 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H20 | zenon_intro zenon_H51 ]. % 0.67/0.92 apply (zenon_L13_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H30 | zenon_intro zenon_H3f ]. % 0.67/0.92 apply (zenon_L17_); trivial. % 0.67/0.92 exact (zenon_H3e zenon_H3f). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ]. % 0.67/0.92 apply (zenon_L19_); trivial. % 0.67/0.92 exact (zenon_H3e zenon_H3f). % 0.67/0.92 (* end of lemma zenon_L20_ *) % 0.67/0.92 assert (zenon_L21_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c1_1 X27))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(c0_1 (a223))) -> (c1_1 (a223)) -> (c2_1 (a223)) -> (~(hskp10)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((hskp10)\/(hskp17))) -> (~(hskp3)) -> ((hskp3)\/(hskp16)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H52 zenon_H53 zenon_H4b zenon_H3e zenon_H4c zenon_H21 zenon_H22 zenon_H23 zenon_H2a zenon_H2e zenon_H1b zenon_H1f. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.67/0.92 apply (zenon_L12_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.67/0.92 apply (zenon_L16_); trivial. % 0.67/0.92 apply (zenon_L20_); trivial. % 0.67/0.92 (* end of lemma zenon_L21_ *) % 0.67/0.92 assert (zenon_L22_ : (forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57)))))) -> (ndr1_0) -> (~(c0_1 (a231))) -> (c1_1 (a231)) -> (c3_1 (a231)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H57 zenon_Ha zenon_H58 zenon_H59 zenon_H5a. % 0.67/0.92 generalize (zenon_H57 (a231)). zenon_intro zenon_H5b. % 0.67/0.92 apply (zenon_imply_s _ _ zenon_H5b); [ zenon_intro zenon_H9 | zenon_intro zenon_H5c ]. % 0.67/0.92 exact (zenon_H9 zenon_Ha). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H5e | zenon_intro zenon_H5d ]. % 0.67/0.92 exact (zenon_H58 zenon_H5e). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H60 | zenon_intro zenon_H5f ]. % 0.67/0.92 exact (zenon_H60 zenon_H59). % 0.67/0.92 exact (zenon_H5f zenon_H5a). % 0.67/0.92 (* end of lemma zenon_L22_ *) % 0.67/0.92 assert (zenon_L23_ : ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp3)\/(hskp6))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (~(c0_1 (a231))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp6)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H61 zenon_H5a zenon_H59 zenon_H58 zenon_Ha zenon_H1b zenon_H17. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 0.67/0.92 apply (zenon_L22_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H1c | zenon_intro zenon_H18 ]. % 0.67/0.92 exact (zenon_H1b zenon_H1c). % 0.67/0.92 exact (zenon_H17 zenon_H18). % 0.67/0.92 (* end of lemma zenon_L23_ *) % 0.67/0.92 assert (zenon_L24_ : ((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp3)\/(hskp6))) -> (~(hskp3)) -> (~(hskp6)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H63 zenon_H61 zenon_H1b zenon_H17. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H64. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H59. zenon_intro zenon_H65. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.67/0.92 apply (zenon_L23_); trivial. % 0.67/0.92 (* end of lemma zenon_L24_ *) % 0.67/0.92 assert (zenon_L25_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp3)\/(hskp6))) -> (~(hskp6)) -> ((hskp3)\/(hskp16)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((hskp10)\/(hskp17))) -> (c2_1 (a223)) -> (c1_1 (a223)) -> (~(c0_1 (a223))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c1_1 X27))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> False). % 0.67/0.92 do 0 intro. intros zenon_H66 zenon_H61 zenon_H17 zenon_H1f zenon_H1b zenon_H2e zenon_H23 zenon_H22 zenon_H21 zenon_H4c zenon_H3e zenon_H4b zenon_H53 zenon_H52. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.67/0.92 apply (zenon_L21_); trivial. % 0.67/0.92 apply (zenon_L24_); trivial. % 0.67/0.92 (* end of lemma zenon_L25_ *) % 0.67/0.92 assert (zenon_L26_ : (~(hskp19)) -> (hskp19) -> False). % 0.67/0.92 do 0 intro. intros zenon_H67 zenon_H68. % 0.67/0.92 exact (zenon_H67 zenon_H68). % 0.67/0.92 (* end of lemma zenon_L26_ *) % 0.67/0.92 assert (zenon_L27_ : ((hskp25)\/(hskp19)) -> (~(hskp19)) -> (~(hskp25)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H69 zenon_H67 zenon_H6a. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H6b | zenon_intro zenon_H68 ]. % 0.67/0.92 exact (zenon_H6a zenon_H6b). % 0.67/0.92 exact (zenon_H67 zenon_H68). % 0.67/0.92 (* end of lemma zenon_L27_ *) % 0.67/0.92 assert (zenon_L28_ : (forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57)))))) -> (ndr1_0) -> (~(c0_1 (a248))) -> (c1_1 (a248)) -> (c3_1 (a248)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H57 zenon_Ha zenon_H39 zenon_H33 zenon_H4f. % 0.67/0.92 generalize (zenon_H57 (a248)). zenon_intro zenon_H6c. % 0.67/0.92 apply (zenon_imply_s _ _ zenon_H6c); [ zenon_intro zenon_H9 | zenon_intro zenon_H6d ]. % 0.67/0.92 exact (zenon_H9 zenon_Ha). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H3d | zenon_intro zenon_H6e ]. % 0.67/0.92 exact (zenon_H39 zenon_H3d). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H38 | zenon_intro zenon_H6f ]. % 0.67/0.92 exact (zenon_H38 zenon_H33). % 0.67/0.92 exact (zenon_H6f zenon_H4f). % 0.67/0.92 (* end of lemma zenon_L28_ *) % 0.67/0.92 assert (zenon_L29_ : (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (ndr1_0) -> (~(c2_1 (a248))) -> (forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57)))))) -> (c1_1 (a248)) -> (c3_1 (a248)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H70 zenon_Ha zenon_H31 zenon_H57 zenon_H33 zenon_H4f. % 0.67/0.92 generalize (zenon_H70 (a248)). zenon_intro zenon_H71. % 0.67/0.92 apply (zenon_imply_s _ _ zenon_H71); [ zenon_intro zenon_H9 | zenon_intro zenon_H72 ]. % 0.67/0.92 exact (zenon_H9 zenon_Ha). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H37 | zenon_intro zenon_H73 ]. % 0.67/0.92 exact (zenon_H31 zenon_H37). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H73); [ zenon_intro zenon_H39 | zenon_intro zenon_H6f ]. % 0.67/0.92 apply (zenon_L28_); trivial. % 0.67/0.92 exact (zenon_H6f zenon_H4f). % 0.67/0.92 (* end of lemma zenon_L29_ *) % 0.67/0.92 assert (zenon_L30_ : (~(hskp27)) -> (hskp27) -> False). % 0.67/0.92 do 0 intro. intros zenon_H74 zenon_H75. % 0.67/0.92 exact (zenon_H74 zenon_H75). % 0.67/0.92 (* end of lemma zenon_L30_ *) % 0.67/0.92 assert (zenon_L31_ : ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp3)\/(hskp27))) -> (c3_1 (a248)) -> (c1_1 (a248)) -> (forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57)))))) -> (~(c2_1 (a248))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp27)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H76 zenon_H4f zenon_H33 zenon_H57 zenon_H31 zenon_Ha zenon_H1b zenon_H74. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H70 | zenon_intro zenon_H77 ]. % 0.67/0.92 apply (zenon_L29_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H1c | zenon_intro zenon_H75 ]. % 0.67/0.92 exact (zenon_H1b zenon_H1c). % 0.67/0.92 exact (zenon_H74 zenon_H75). % 0.67/0.92 (* end of lemma zenon_L31_ *) % 0.67/0.92 assert (zenon_L32_ : ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp3)\/(hskp6))) -> (~(hskp27)) -> (ndr1_0) -> (~(c2_1 (a248))) -> (c1_1 (a248)) -> (c3_1 (a248)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp3)\/(hskp27))) -> (~(hskp3)) -> (~(hskp6)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H61 zenon_H74 zenon_Ha zenon_H31 zenon_H33 zenon_H4f zenon_H76 zenon_H1b zenon_H17. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 0.67/0.92 apply (zenon_L31_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H1c | zenon_intro zenon_H18 ]. % 0.67/0.92 exact (zenon_H1b zenon_H1c). % 0.67/0.92 exact (zenon_H17 zenon_H18). % 0.67/0.92 (* end of lemma zenon_L32_ *) % 0.67/0.92 assert (zenon_L33_ : (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (ndr1_0) -> (~(c0_1 (a320))) -> (c2_1 (a320)) -> (c3_1 (a320)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H78 zenon_Ha zenon_H79 zenon_H7a zenon_H7b. % 0.67/0.92 generalize (zenon_H78 (a320)). zenon_intro zenon_H7c. % 0.67/0.92 apply (zenon_imply_s _ _ zenon_H7c); [ zenon_intro zenon_H9 | zenon_intro zenon_H7d ]. % 0.67/0.92 exact (zenon_H9 zenon_Ha). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H7d); [ zenon_intro zenon_H7f | zenon_intro zenon_H7e ]. % 0.67/0.92 exact (zenon_H79 zenon_H7f). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 0.67/0.92 exact (zenon_H81 zenon_H7a). % 0.67/0.92 exact (zenon_H80 zenon_H7b). % 0.67/0.92 (* end of lemma zenon_L33_ *) % 0.67/0.92 assert (zenon_L34_ : (forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (ndr1_0) -> (~(c3_1 (a237))) -> (c0_1 (a237)) -> (c1_1 (a237)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H82 zenon_Ha zenon_Hc zenon_Hd zenon_H83. % 0.67/0.92 generalize (zenon_H82 (a237)). zenon_intro zenon_H84. % 0.67/0.92 apply (zenon_imply_s _ _ zenon_H84); [ zenon_intro zenon_H9 | zenon_intro zenon_H85 ]. % 0.67/0.92 exact (zenon_H9 zenon_Ha). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H12 | zenon_intro zenon_H86 ]. % 0.67/0.92 exact (zenon_Hc zenon_H12). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H86); [ zenon_intro zenon_H14 | zenon_intro zenon_H87 ]. % 0.67/0.92 exact (zenon_H14 zenon_Hd). % 0.67/0.92 exact (zenon_H87 zenon_H83). % 0.67/0.92 (* end of lemma zenon_L34_ *) % 0.67/0.92 assert (zenon_L35_ : (forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67)))))) -> (ndr1_0) -> (forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (~(c3_1 (a237))) -> (c0_1 (a237)) -> (c2_1 (a237)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H88 zenon_Ha zenon_H82 zenon_Hc zenon_Hd zenon_He. % 0.67/0.92 generalize (zenon_H88 (a237)). zenon_intro zenon_H89. % 0.67/0.92 apply (zenon_imply_s _ _ zenon_H89); [ zenon_intro zenon_H9 | zenon_intro zenon_H8a ]. % 0.67/0.92 exact (zenon_H9 zenon_Ha). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H83 | zenon_intro zenon_H8b ]. % 0.67/0.92 apply (zenon_L34_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H8b); [ zenon_intro zenon_H12 | zenon_intro zenon_H13 ]. % 0.67/0.92 exact (zenon_Hc zenon_H12). % 0.67/0.92 exact (zenon_H13 zenon_He). % 0.67/0.92 (* end of lemma zenon_L35_ *) % 0.67/0.92 assert (zenon_L36_ : (forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60)))))) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (c2_1 (a320)) -> (c3_1 (a320)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H8c zenon_Ha zenon_H8d zenon_H7a zenon_H7b. % 0.67/0.92 generalize (zenon_H8c (a320)). zenon_intro zenon_H8e. % 0.67/0.92 apply (zenon_imply_s _ _ zenon_H8e); [ zenon_intro zenon_H9 | zenon_intro zenon_H8f ]. % 0.67/0.92 exact (zenon_H9 zenon_Ha). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H90 | zenon_intro zenon_H7e ]. % 0.67/0.92 generalize (zenon_H8d (a320)). zenon_intro zenon_H91. % 0.67/0.92 apply (zenon_imply_s _ _ zenon_H91); [ zenon_intro zenon_H9 | zenon_intro zenon_H92 ]. % 0.67/0.92 exact (zenon_H9 zenon_Ha). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H93 | zenon_intro zenon_H7e ]. % 0.67/0.92 exact (zenon_H93 zenon_H90). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 0.67/0.92 exact (zenon_H81 zenon_H7a). % 0.67/0.92 exact (zenon_H80 zenon_H7b). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 0.67/0.92 exact (zenon_H81 zenon_H7a). % 0.67/0.92 exact (zenon_H80 zenon_H7b). % 0.67/0.92 (* end of lemma zenon_L36_ *) % 0.67/0.92 assert (zenon_L37_ : ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a248)) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c1_1 X27)))))) -> (~(c2_1 (a248))) -> (c2_1 (a237)) -> (c0_1 (a237)) -> (~(c3_1 (a237))) -> (forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67)))))) -> (forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60)))))) -> (ndr1_0) -> (c2_1 (a320)) -> (c3_1 (a320)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H94 zenon_H33 zenon_H32 zenon_H31 zenon_He zenon_Hd zenon_Hc zenon_H88 zenon_H8c zenon_Ha zenon_H7a zenon_H7b. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H30 | zenon_intro zenon_H95 ]. % 0.67/0.92 apply (zenon_L17_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H82 | zenon_intro zenon_H8d ]. % 0.67/0.92 apply (zenon_L35_); trivial. % 0.67/0.92 apply (zenon_L36_); trivial. % 0.67/0.92 (* end of lemma zenon_L37_ *) % 0.67/0.92 assert (zenon_L38_ : (~(hskp15)) -> (hskp15) -> False). % 0.67/0.92 do 0 intro. intros zenon_H96 zenon_H97. % 0.67/0.92 exact (zenon_H96 zenon_H97). % 0.67/0.92 (* end of lemma zenon_L38_ *) % 0.67/0.92 assert (zenon_L39_ : (~(hskp24)) -> (hskp24) -> False). % 0.67/0.92 do 0 intro. intros zenon_H98 zenon_H99. % 0.67/0.92 exact (zenon_H98 zenon_H99). % 0.67/0.92 (* end of lemma zenon_L39_ *) % 0.67/0.92 assert (zenon_L40_ : ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/((hskp15)\/(hskp24))) -> (c3_1 (a320)) -> (c2_1 (a320)) -> (ndr1_0) -> (forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67)))))) -> (~(c3_1 (a237))) -> (c0_1 (a237)) -> (c2_1 (a237)) -> (~(c2_1 (a248))) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c1_1 X27)))))) -> (c1_1 (a248)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp15)) -> (~(hskp24)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H9a zenon_H7b zenon_H7a zenon_Ha zenon_H88 zenon_Hc zenon_Hd zenon_He zenon_H31 zenon_H32 zenon_H33 zenon_H94 zenon_H96 zenon_H98. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H8c | zenon_intro zenon_H9b ]. % 0.67/0.92 apply (zenon_L37_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H97 | zenon_intro zenon_H99 ]. % 0.67/0.92 exact (zenon_H96 zenon_H97). % 0.67/0.92 exact (zenon_H98 zenon_H99). % 0.67/0.92 (* end of lemma zenon_L40_ *) % 0.67/0.92 assert (zenon_L41_ : (forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57)))))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (c2_1 (a261)) -> (c3_1 (a261)) -> (c1_1 (a261)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H57 zenon_Ha zenon_H9c zenon_H9d zenon_H9e zenon_H9f. % 0.67/0.92 generalize (zenon_H57 (a261)). zenon_intro zenon_Ha0. % 0.67/0.92 apply (zenon_imply_s _ _ zenon_Ha0); [ zenon_intro zenon_H9 | zenon_intro zenon_Ha1 ]. % 0.67/0.92 exact (zenon_H9 zenon_Ha). % 0.67/0.92 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 0.67/0.92 generalize (zenon_H9c (a261)). zenon_intro zenon_Ha4. % 0.67/0.92 apply (zenon_imply_s _ _ zenon_Ha4); [ zenon_intro zenon_H9 | zenon_intro zenon_Ha5 ]. % 0.67/0.92 exact (zenon_H9 zenon_Ha). % 0.67/0.92 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha6 ]. % 0.67/0.92 exact (zenon_Ha7 zenon_Ha3). % 0.67/0.92 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Ha8 ]. % 0.67/0.92 exact (zenon_Ha9 zenon_H9d). % 0.67/0.92 exact (zenon_Ha8 zenon_H9e). % 0.67/0.92 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_Haa | zenon_intro zenon_Ha8 ]. % 0.67/0.92 exact (zenon_Haa zenon_H9f). % 0.67/0.92 exact (zenon_Ha8 zenon_H9e). % 0.67/0.92 (* end of lemma zenon_L41_ *) % 0.67/0.92 assert (zenon_L42_ : ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp3)\/(hskp6))) -> (c1_1 (a261)) -> (c3_1 (a261)) -> (c2_1 (a261)) -> (ndr1_0) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a248)) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c1_1 X27)))))) -> (~(c2_1 (a248))) -> (c2_1 (a237)) -> (c0_1 (a237)) -> (~(c3_1 (a237))) -> (forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60)))))) -> (c2_1 (a320)) -> (c3_1 (a320)) -> (~(c0_1 (a320))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp3)) -> (~(hskp6)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H61 zenon_H9f zenon_H9e zenon_H9d zenon_Ha zenon_H94 zenon_H33 zenon_H32 zenon_H31 zenon_He zenon_Hd zenon_Hc zenon_H8c zenon_H7a zenon_H7b zenon_H79 zenon_Hab zenon_H1b zenon_H17. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H78 | zenon_intro zenon_Hac ]. % 0.67/0.92 apply (zenon_L33_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H88 | zenon_intro zenon_H9c ]. % 0.67/0.92 apply (zenon_L37_); trivial. % 0.67/0.92 apply (zenon_L41_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H1c | zenon_intro zenon_H18 ]. % 0.67/0.92 exact (zenon_H1b zenon_H1c). % 0.67/0.92 exact (zenon_H17 zenon_H18). % 0.67/0.92 (* end of lemma zenon_L42_ *) % 0.67/0.92 assert (zenon_L43_ : (~(hskp9)) -> (hskp9) -> False). % 0.67/0.92 do 0 intro. intros zenon_Had zenon_Hae. % 0.67/0.92 exact (zenon_Had zenon_Hae). % 0.67/0.92 (* end of lemma zenon_L43_ *) % 0.67/0.92 assert (zenon_L44_ : ((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c1_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp3)\/(hskp6))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a248)) -> (~(c2_1 (a248))) -> (c2_1 (a237)) -> (c0_1 (a237)) -> (~(c3_1 (a237))) -> (c2_1 (a320)) -> (c3_1 (a320)) -> (~(c0_1 (a320))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp3)) -> (~(hskp6)) -> (~(hskp24)) -> (~(hskp15)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/((hskp15)\/(hskp24))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (c2_1 (a223)) -> (c1_1 (a223)) -> (~(c0_1 (a223))) -> (~(hskp10)) -> False). % 0.67/0.92 do 0 intro. intros zenon_Haf zenon_Hb0 zenon_Had zenon_H61 zenon_H94 zenon_H33 zenon_H31 zenon_He zenon_Hd zenon_Hc zenon_H7a zenon_H7b zenon_H79 zenon_Hab zenon_H1b zenon_H17 zenon_H98 zenon_H96 zenon_H9a zenon_Hb1 zenon_H23 zenon_H22 zenon_H21 zenon_H2a. % 0.67/0.92 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.67/0.92 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.67/0.92 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.67/0.92 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb4 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H57 | zenon_intro zenon_Hb5 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H78 | zenon_intro zenon_Hac ]. % 0.67/0.92 apply (zenon_L33_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H88 | zenon_intro zenon_H9c ]. % 0.67/0.92 apply (zenon_L40_); trivial. % 0.67/0.92 apply (zenon_L41_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H8c | zenon_intro zenon_Hae ]. % 0.67/0.92 apply (zenon_L42_); trivial. % 0.67/0.92 exact (zenon_Had zenon_Hae). % 0.67/0.92 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H20 | zenon_intro zenon_H2b ]. % 0.67/0.92 apply (zenon_L13_); trivial. % 0.67/0.92 exact (zenon_H2a zenon_H2b). % 0.67/0.92 (* end of lemma zenon_L44_ *) % 0.67/0.92 assert (zenon_L45_ : (forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62)))))) -> (ndr1_0) -> (~(c2_1 (a280))) -> (~(c3_1 (a280))) -> (c1_1 (a280)) -> False). % 0.67/0.92 do 0 intro. intros zenon_Hb6 zenon_Ha zenon_Hb7 zenon_Hb8 zenon_Hb9. % 0.67/0.92 generalize (zenon_Hb6 (a280)). zenon_intro zenon_Hba. % 0.67/0.92 apply (zenon_imply_s _ _ zenon_Hba); [ zenon_intro zenon_H9 | zenon_intro zenon_Hbb ]. % 0.67/0.92 exact (zenon_H9 zenon_Ha). % 0.67/0.92 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbc ]. % 0.67/0.92 exact (zenon_Hb7 zenon_Hbd). % 0.67/0.92 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hbe ]. % 0.67/0.92 exact (zenon_Hb8 zenon_Hbf). % 0.67/0.92 exact (zenon_Hbe zenon_Hb9). % 0.67/0.92 (* end of lemma zenon_L45_ *) % 0.67/0.92 assert (zenon_L46_ : ((ndr1_0)/\((c1_1 (a280))/\((~(c2_1 (a280)))/\(~(c3_1 (a280)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/(hskp19))) -> (~(hskp19)) -> ((hskp25)\/(hskp19)) -> False). % 0.67/0.92 do 0 intro. intros zenon_Hc0 zenon_Hc1 zenon_Hc2 zenon_H67 zenon_H69. % 0.67/0.92 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Ha. zenon_intro zenon_Hc3. % 0.67/0.92 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb9. zenon_intro zenon_Hc4. % 0.67/0.92 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.67/0.92 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H6a | zenon_intro zenon_Hc5 ]. % 0.67/0.92 apply (zenon_L27_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc6. % 0.67/0.92 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7a. zenon_intro zenon_Hc7. % 0.67/0.92 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 0.67/0.92 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_H78 | zenon_intro zenon_Hc8 ]. % 0.67/0.92 apply (zenon_L33_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H68 ]. % 0.67/0.92 apply (zenon_L45_); trivial. % 0.67/0.92 exact (zenon_H67 zenon_H68). % 0.67/0.92 (* end of lemma zenon_L46_ *) % 0.67/0.92 assert (zenon_L47_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (ndr1_0) -> (~(c0_1 (a255))) -> (~(c1_1 (a255))) -> (~(c3_1 (a255))) -> False). % 0.67/0.92 do 0 intro. intros zenon_Hc9 zenon_Ha zenon_Hca zenon_Hcb zenon_Hcc. % 0.67/0.92 generalize (zenon_Hc9 (a255)). zenon_intro zenon_Hcd. % 0.67/0.92 apply (zenon_imply_s _ _ zenon_Hcd); [ zenon_intro zenon_H9 | zenon_intro zenon_Hce ]. % 0.67/0.92 exact (zenon_H9 zenon_Ha). % 0.67/0.92 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hcf ]. % 0.67/0.92 exact (zenon_Hca zenon_Hd0). % 0.67/0.92 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd1 ]. % 0.67/0.92 exact (zenon_Hcb zenon_Hd2). % 0.67/0.92 exact (zenon_Hcc zenon_Hd1). % 0.67/0.92 (* end of lemma zenon_L47_ *) % 0.67/0.92 assert (zenon_L48_ : (~(hskp4)) -> (hskp4) -> False). % 0.67/0.92 do 0 intro. intros zenon_Hd3 zenon_Hd4. % 0.67/0.92 exact (zenon_Hd3 zenon_Hd4). % 0.67/0.92 (* end of lemma zenon_L48_ *) % 0.67/0.92 assert (zenon_L49_ : ((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> (~(hskp4)) -> False). % 0.67/0.92 do 0 intro. intros zenon_Hd5 zenon_Hd6 zenon_H1b zenon_Hd3. % 0.67/0.92 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha. zenon_intro zenon_Hd7. % 0.67/0.92 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 0.67/0.92 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.67/0.92 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hd9 ]. % 0.67/0.92 apply (zenon_L47_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_H1c | zenon_intro zenon_Hd4 ]. % 0.67/0.92 exact (zenon_H1b zenon_H1c). % 0.67/0.92 exact (zenon_Hd3 zenon_Hd4). % 0.67/0.92 (* end of lemma zenon_L49_ *) % 0.67/0.92 assert (zenon_L50_ : (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c1_1 X27)))))) -> (ndr1_0) -> (~(c0_1 (a242))) -> (~(c2_1 (a242))) -> (c1_1 (a242)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H32 zenon_Ha zenon_Hda zenon_Hdb zenon_Hdc. % 0.67/0.92 generalize (zenon_H32 (a242)). zenon_intro zenon_Hdd. % 0.67/0.92 apply (zenon_imply_s _ _ zenon_Hdd); [ zenon_intro zenon_H9 | zenon_intro zenon_Hde ]. % 0.67/0.92 exact (zenon_H9 zenon_Ha). % 0.67/0.92 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_He0 | zenon_intro zenon_Hdf ]. % 0.67/0.92 exact (zenon_Hda zenon_He0). % 0.67/0.92 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_He2 | zenon_intro zenon_He1 ]. % 0.67/0.92 exact (zenon_Hdb zenon_He2). % 0.67/0.92 exact (zenon_He1 zenon_Hdc). % 0.67/0.92 (* end of lemma zenon_L50_ *) % 0.67/0.92 assert (zenon_L51_ : ((ndr1_0)/\((c1_1 (a242))/\((~(c0_1 (a242)))/\(~(c2_1 (a242)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c1_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp10))) -> (c2_1 (a223)) -> (c1_1 (a223)) -> (~(c0_1 (a223))) -> (~(hskp10)) -> False). % 0.67/0.92 do 0 intro. intros zenon_He3 zenon_Hb0 zenon_H23 zenon_H22 zenon_H21 zenon_H2a. % 0.67/0.92 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Ha. zenon_intro zenon_He4. % 0.67/0.92 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hdc. zenon_intro zenon_He5. % 0.67/0.92 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.67/0.92 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb4 ]. % 0.67/0.92 apply (zenon_L50_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H20 | zenon_intro zenon_H2b ]. % 0.67/0.92 apply (zenon_L13_); trivial. % 0.67/0.92 exact (zenon_H2a zenon_H2b). % 0.67/0.92 (* end of lemma zenon_L51_ *) % 0.67/0.92 assert (zenon_L52_ : (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2)))))) -> (ndr1_0) -> (~(c0_1 (a225))) -> (~(c2_1 (a225))) -> (c3_1 (a225)) -> False). % 0.67/0.92 do 0 intro. intros zenon_He6 zenon_Ha zenon_He7 zenon_He8 zenon_He9. % 0.67/0.92 generalize (zenon_He6 (a225)). zenon_intro zenon_Hea. % 0.67/0.92 apply (zenon_imply_s _ _ zenon_Hea); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.67/0.92 exact (zenon_H9 zenon_Ha). % 0.67/0.92 apply (zenon_or_s _ _ zenon_Heb); [ zenon_intro zenon_Hed | zenon_intro zenon_Hec ]. % 0.67/0.92 exact (zenon_He7 zenon_Hed). % 0.67/0.92 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hef | zenon_intro zenon_Hee ]. % 0.67/0.92 exact (zenon_He8 zenon_Hef). % 0.67/0.92 exact (zenon_Hee zenon_He9). % 0.67/0.92 (* end of lemma zenon_L52_ *) % 0.67/0.92 assert (zenon_L53_ : (forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32)))))) -> (ndr1_0) -> (~(c1_1 (a226))) -> (~(c2_1 (a226))) -> (c0_1 (a226)) -> False). % 0.67/0.92 do 0 intro. intros zenon_Hf0 zenon_Ha zenon_Hf1 zenon_Hf2 zenon_Hf3. % 0.67/0.92 generalize (zenon_Hf0 (a226)). zenon_intro zenon_Hf4. % 0.67/0.92 apply (zenon_imply_s _ _ zenon_Hf4); [ zenon_intro zenon_H9 | zenon_intro zenon_Hf5 ]. % 0.67/0.92 exact (zenon_H9 zenon_Ha). % 0.67/0.92 apply (zenon_or_s _ _ zenon_Hf5); [ zenon_intro zenon_Hf7 | zenon_intro zenon_Hf6 ]. % 0.67/0.92 exact (zenon_Hf1 zenon_Hf7). % 0.67/0.92 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hf8 ]. % 0.67/0.92 exact (zenon_Hf2 zenon_Hf9). % 0.67/0.92 exact (zenon_Hf8 zenon_Hf3). % 0.67/0.92 (* end of lemma zenon_L53_ *) % 0.67/0.92 assert (zenon_L54_ : ((ndr1_0)/\((c0_1 (a226))/\((~(c1_1 (a226)))/\(~(c2_1 (a226)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(hskp1))) -> (c3_1 (a225)) -> (~(c2_1 (a225))) -> (~(c0_1 (a225))) -> (~(hskp1)) -> False). % 0.67/0.92 do 0 intro. intros zenon_Hfa zenon_Hfb zenon_He9 zenon_He8 zenon_He7 zenon_H3. % 0.67/0.92 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.67/0.92 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf3. zenon_intro zenon_Hfd. % 0.67/0.92 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.67/0.92 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He6 | zenon_intro zenon_Hfe ]. % 0.67/0.92 apply (zenon_L52_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H4 ]. % 0.67/0.92 apply (zenon_L53_); trivial. % 0.67/0.92 exact (zenon_H3 zenon_H4). % 0.67/0.92 (* end of lemma zenon_L54_ *) % 0.67/0.92 assert (zenon_L55_ : (forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34)))))) -> (ndr1_0) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> False). % 0.67/0.92 do 0 intro. intros zenon_Hff zenon_Ha zenon_H100 zenon_H101 zenon_H102. % 0.67/0.92 generalize (zenon_Hff (a220)). zenon_intro zenon_H103. % 0.67/0.92 apply (zenon_imply_s _ _ zenon_H103); [ zenon_intro zenon_H9 | zenon_intro zenon_H104 ]. % 0.67/0.92 exact (zenon_H9 zenon_Ha). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_H106 | zenon_intro zenon_H105 ]. % 0.67/0.92 exact (zenon_H100 zenon_H106). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H108 | zenon_intro zenon_H107 ]. % 0.67/0.92 exact (zenon_H108 zenon_H101). % 0.67/0.92 exact (zenon_H107 zenon_H102). % 0.67/0.92 (* end of lemma zenon_L55_ *) % 0.67/0.92 assert (zenon_L56_ : ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/((hskp15)\/(hskp24))) -> (c3_1 (a320)) -> (c2_1 (a320)) -> (forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp24)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H9a zenon_H7b zenon_H7a zenon_H8d zenon_Ha zenon_H96 zenon_H98. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H8c | zenon_intro zenon_H9b ]. % 0.67/0.92 apply (zenon_L36_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H97 | zenon_intro zenon_H99 ]. % 0.67/0.92 exact (zenon_H96 zenon_H97). % 0.67/0.92 exact (zenon_H98 zenon_H99). % 0.67/0.92 (* end of lemma zenon_L56_ *) % 0.67/0.92 assert (zenon_L57_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a280))/\((~(c2_1 (a280)))/\(~(c3_1 (a280))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/(hskp19))) -> ((hskp25)\/(hskp19)) -> (~(hskp19)) -> (~(c1_1 (a245))) -> (~(c3_1 (a245))) -> (c0_1 (a245)) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/((hskp15)\/(hskp24))) -> (~(hskp15)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> False). % 0.67/0.92 do 0 intro. intros zenon_H109 zenon_Hc2 zenon_H69 zenon_H67 zenon_H41 zenon_H42 zenon_H43 zenon_H100 zenon_H101 zenon_H102 zenon_H9a zenon_H96 zenon_H10a zenon_Hc1. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H98 | zenon_intro zenon_Hc0 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H6a | zenon_intro zenon_Hc5 ]. % 0.67/0.92 apply (zenon_L27_); trivial. % 0.67/0.92 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc6. % 0.67/0.92 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7a. zenon_intro zenon_Hc7. % 0.67/0.92 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_H40 | zenon_intro zenon_H10b ]. % 0.67/0.92 apply (zenon_L19_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hff | zenon_intro zenon_H8d ]. % 0.67/0.92 apply (zenon_L55_); trivial. % 0.67/0.92 apply (zenon_L56_); trivial. % 0.67/0.92 apply (zenon_L46_); trivial. % 0.67/0.92 (* end of lemma zenon_L57_ *) % 0.67/0.92 assert (zenon_L58_ : ((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c1_1 X27))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(hskp8))) -> (c1_1 (a242)) -> (~(c2_1 (a242))) -> (~(c0_1 (a242))) -> (~(hskp8)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H54 zenon_H4b zenon_Hdc zenon_Hdb zenon_Hda zenon_H3e. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H32 | zenon_intro zenon_H50 ]. % 0.67/0.92 apply (zenon_L50_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ]. % 0.67/0.92 apply (zenon_L19_); trivial. % 0.67/0.92 exact (zenon_H3e zenon_H3f). % 0.67/0.92 (* end of lemma zenon_L58_ *) % 0.67/0.92 assert (zenon_L59_ : ((ndr1_0)/\((c1_1 (a242))/\((~(c0_1 (a242)))/\(~(c2_1 (a242)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c1_1 X27))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp3)) -> ((hskp3)\/(hskp16)) -> False). % 0.67/0.92 do 0 intro. intros zenon_He3 zenon_H52 zenon_H4b zenon_H3e zenon_H1b zenon_H1f. % 0.67/0.92 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Ha. zenon_intro zenon_He4. % 0.67/0.92 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hdc. zenon_intro zenon_He5. % 0.67/0.92 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.67/0.92 apply (zenon_L12_); trivial. % 0.67/0.92 apply (zenon_L58_); trivial. % 0.67/0.92 (* end of lemma zenon_L59_ *) % 0.67/0.92 assert (zenon_L60_ : (~(hskp5)) -> (hskp5) -> False). % 0.67/0.92 do 0 intro. intros zenon_H10c zenon_H10d. % 0.67/0.92 exact (zenon_H10c zenon_H10d). % 0.67/0.92 (* end of lemma zenon_L60_ *) % 0.67/0.92 assert (zenon_L61_ : ((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c2_1 (a225)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp5))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (~(hskp5)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H10e zenon_H10f zenon_H102 zenon_H101 zenon_H100 zenon_H10c. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Ha. zenon_intro zenon_H110. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He9. zenon_intro zenon_H111. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_He7. zenon_intro zenon_He8. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_He6 | zenon_intro zenon_H112 ]. % 0.67/0.92 apply (zenon_L52_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hff | zenon_intro zenon_H10d ]. % 0.67/0.92 apply (zenon_L55_); trivial. % 0.67/0.92 exact (zenon_H10c zenon_H10d). % 0.67/0.92 (* end of lemma zenon_L61_ *) % 0.67/0.92 assert (zenon_L62_ : ((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237)))))) -> ((forall X95 : zenon_U, ((ndr1_0)->((c3_1 X95)\/((~(c0_1 X95))\/(~(c2_1 X95))))))\/((hskp7)\/(hskp6))) -> (~(hskp7)) -> (~(hskp6)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H113 zenon_H19 zenon_H15 zenon_H17. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Ha. zenon_intro zenon_H114. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hd. zenon_intro zenon_H115. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.67/0.92 apply (zenon_L9_); trivial. % 0.67/0.92 (* end of lemma zenon_L62_ *) % 0.67/0.92 assert (zenon_L63_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> ((forall X95 : zenon_U, ((ndr1_0)->((c3_1 X95)\/((~(c0_1 X95))\/(~(c2_1 X95))))))\/((hskp7)\/(hskp6))) -> (~(hskp6)) -> (~(hskp7)) -> (~(hskp1)) -> (~(hskp0)) -> ((hskp12)\/((hskp1)\/(hskp0))) -> False). % 0.67/0.92 do 0 intro. intros zenon_H116 zenon_H19 zenon_H17 zenon_H15 zenon_H3 zenon_H5 zenon_H7. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.67/0.92 apply (zenon_L4_); trivial. % 0.67/0.92 apply (zenon_L62_); trivial. % 0.67/0.92 (* end of lemma zenon_L63_ *) % 0.67/0.92 assert (zenon_L64_ : (forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5)))))) -> (ndr1_0) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H117 zenon_Ha zenon_H118 zenon_H119 zenon_H11a. % 0.67/0.92 generalize (zenon_H117 (a218)). zenon_intro zenon_H11b. % 0.67/0.92 apply (zenon_imply_s _ _ zenon_H11b); [ zenon_intro zenon_H9 | zenon_intro zenon_H11c ]. % 0.67/0.92 exact (zenon_H9 zenon_Ha). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H11e | zenon_intro zenon_H11d ]. % 0.67/0.92 exact (zenon_H118 zenon_H11e). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H120 | zenon_intro zenon_H11f ]. % 0.67/0.92 exact (zenon_H119 zenon_H120). % 0.67/0.92 exact (zenon_H11f zenon_H11a). % 0.67/0.92 (* end of lemma zenon_L64_ *) % 0.67/0.92 assert (zenon_L65_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp15))) -> (c2_1 (a223)) -> (c1_1 (a223)) -> (~(c0_1 (a223))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> (ndr1_0) -> (~(hskp15)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H121 zenon_H23 zenon_H22 zenon_H21 zenon_H11a zenon_H119 zenon_H118 zenon_Ha zenon_H96. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H20 | zenon_intro zenon_H122 ]. % 0.67/0.92 apply (zenon_L13_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H117 | zenon_intro zenon_H97 ]. % 0.67/0.92 apply (zenon_L64_); trivial. % 0.67/0.92 exact (zenon_H96 zenon_H97). % 0.67/0.92 (* end of lemma zenon_L65_ *) % 0.67/0.92 assert (zenon_L66_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a242))/\((~(c0_1 (a242)))/\(~(c2_1 (a242))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c1_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp10))) -> (~(hskp10)) -> (ndr1_0) -> (~(c0_1 (a223))) -> (c1_1 (a223)) -> (c2_1 (a223)) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp15))) -> False). % 0.67/0.92 do 0 intro. intros zenon_H123 zenon_Hb0 zenon_H2a zenon_Ha zenon_H21 zenon_H22 zenon_H23 zenon_H118 zenon_H119 zenon_H11a zenon_H121. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H96 | zenon_intro zenon_He3 ]. % 0.67/0.92 apply (zenon_L65_); trivial. % 0.67/0.92 apply (zenon_L51_); trivial. % 0.67/0.92 (* end of lemma zenon_L66_ *) % 0.67/0.92 assert (zenon_L67_ : ((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(~(c0_1 (a223)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp3)\/(hskp6))) -> (~(hskp6)) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp15))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c1_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a242))/\((~(c0_1 (a242)))/\(~(c2_1 (a242))))))) -> False). % 0.67/0.92 do 0 intro. intros zenon_H124 zenon_H66 zenon_H61 zenon_H17 zenon_H1b zenon_H121 zenon_H11a zenon_H119 zenon_H118 zenon_Hb0 zenon_H123. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Ha. zenon_intro zenon_H125. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H22. zenon_intro zenon_H126. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H23. zenon_intro zenon_H21. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.67/0.92 apply (zenon_L66_); trivial. % 0.67/0.92 apply (zenon_L24_); trivial. % 0.67/0.92 (* end of lemma zenon_L67_ *) % 0.67/0.92 assert (zenon_L68_ : ((~(hskp7))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(~(c0_1 (a223))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp3)\/(hskp6))) -> (~(hskp3)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp15))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c1_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a242))/\((~(c0_1 (a242)))/\(~(c2_1 (a242))))))) -> ((hskp12)\/((hskp1)\/(hskp0))) -> (~(hskp0)) -> (~(hskp1)) -> (~(hskp6)) -> ((forall X95 : zenon_U, ((ndr1_0)->((c3_1 X95)\/((~(c0_1 X95))\/(~(c2_1 X95))))))\/((hskp7)\/(hskp6))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> False). % 0.67/0.92 do 0 intro. intros zenon_H127 zenon_H66 zenon_H61 zenon_H1b zenon_H121 zenon_H11a zenon_H119 zenon_H118 zenon_Hb0 zenon_H123 zenon_H7 zenon_H5 zenon_H3 zenon_H17 zenon_H19 zenon_H116. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H15 | zenon_intro zenon_H124 ]. % 0.67/0.92 apply (zenon_L63_); trivial. % 0.67/0.92 apply (zenon_L67_); trivial. % 0.67/0.92 (* end of lemma zenon_L68_ *) % 0.67/0.92 assert (zenon_L69_ : (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2)))))) -> (ndr1_0) -> (~(c0_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> False). % 0.67/0.92 do 0 intro. intros zenon_He6 zenon_Ha zenon_H128 zenon_H119 zenon_H11a. % 0.67/0.92 generalize (zenon_He6 (a218)). zenon_intro zenon_H129. % 0.67/0.92 apply (zenon_imply_s _ _ zenon_H129); [ zenon_intro zenon_H9 | zenon_intro zenon_H12a ]. % 0.67/0.92 exact (zenon_H9 zenon_Ha). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H12b | zenon_intro zenon_H11d ]. % 0.67/0.92 exact (zenon_H128 zenon_H12b). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H120 | zenon_intro zenon_H11f ]. % 0.67/0.92 exact (zenon_H119 zenon_H120). % 0.67/0.92 exact (zenon_H11f zenon_H11a). % 0.67/0.92 (* end of lemma zenon_L69_ *) % 0.67/0.92 assert (zenon_L70_ : (forall X94 : zenon_U, ((ndr1_0)->((c1_1 X94)\/((~(c0_1 X94))\/(~(c3_1 X94)))))) -> (ndr1_0) -> (~(c1_1 (a218))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2)))))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H12c zenon_Ha zenon_H118 zenon_He6 zenon_H119 zenon_H11a. % 0.67/0.92 generalize (zenon_H12c (a218)). zenon_intro zenon_H12d. % 0.67/0.92 apply (zenon_imply_s _ _ zenon_H12d); [ zenon_intro zenon_H9 | zenon_intro zenon_H12e ]. % 0.67/0.92 exact (zenon_H9 zenon_Ha). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H11e | zenon_intro zenon_H12f ]. % 0.67/0.92 exact (zenon_H118 zenon_H11e). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ]. % 0.67/0.92 apply (zenon_L69_); trivial. % 0.67/0.92 exact (zenon_H11f zenon_H11a). % 0.67/0.92 (* end of lemma zenon_L70_ *) % 0.67/0.92 assert (zenon_L71_ : ((forall X94 : zenon_U, ((ndr1_0)->((c1_1 X94)\/((~(c0_1 X94))\/(~(c3_1 X94))))))\/((hskp1)\/(hskp19))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2)))))) -> (~(c1_1 (a218))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp19)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H130 zenon_H11a zenon_H119 zenon_He6 zenon_H118 zenon_Ha zenon_H3 zenon_H67. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H12c | zenon_intro zenon_H131 ]. % 0.67/0.92 apply (zenon_L70_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H4 | zenon_intro zenon_H68 ]. % 0.67/0.92 exact (zenon_H3 zenon_H4). % 0.67/0.92 exact (zenon_H67 zenon_H68). % 0.67/0.92 (* end of lemma zenon_L71_ *) % 0.67/0.92 assert (zenon_L72_ : (~(hskp26)) -> (hskp26) -> False). % 0.67/0.92 do 0 intro. intros zenon_H132 zenon_H133. % 0.67/0.92 exact (zenon_H132 zenon_H133). % 0.67/0.92 (* end of lemma zenon_L72_ *) % 0.67/0.92 assert (zenon_L73_ : (forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11)))))) -> (ndr1_0) -> (c0_1 (a234)) -> (c1_1 (a234)) -> (c3_1 (a234)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H134 zenon_Ha zenon_H135 zenon_H136 zenon_H137. % 0.67/0.92 generalize (zenon_H134 (a234)). zenon_intro zenon_H138. % 0.67/0.92 apply (zenon_imply_s _ _ zenon_H138); [ zenon_intro zenon_H9 | zenon_intro zenon_H139 ]. % 0.67/0.92 exact (zenon_H9 zenon_Ha). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H139); [ zenon_intro zenon_H13b | zenon_intro zenon_H13a ]. % 0.67/0.92 exact (zenon_H13b zenon_H135). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H13d | zenon_intro zenon_H13c ]. % 0.67/0.92 exact (zenon_H13d zenon_H136). % 0.67/0.92 exact (zenon_H13c zenon_H137). % 0.67/0.92 (* end of lemma zenon_L73_ *) % 0.67/0.92 assert (zenon_L74_ : (~(hskp2)) -> (hskp2) -> False). % 0.67/0.92 do 0 intro. intros zenon_H13e zenon_H13f. % 0.67/0.92 exact (zenon_H13e zenon_H13f). % 0.67/0.92 (* end of lemma zenon_L74_ *) % 0.67/0.92 assert (zenon_L75_ : ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (c3_1 (a234)) -> (c1_1 (a234)) -> (c0_1 (a234)) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp2)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H140 zenon_H137 zenon_H136 zenon_H135 zenon_Ha zenon_H74 zenon_H13e. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H134 | zenon_intro zenon_H141 ]. % 0.67/0.92 apply (zenon_L73_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H75 | zenon_intro zenon_H13f ]. % 0.67/0.92 exact (zenon_H74 zenon_H75). % 0.67/0.92 exact (zenon_H13e zenon_H13f). % 0.67/0.92 (* end of lemma zenon_L75_ *) % 0.67/0.92 assert (zenon_L76_ : (forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (c1_1 (a261)) -> (c2_1 (a261)) -> (c3_1 (a261)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H8d zenon_Ha zenon_H9f zenon_H9d zenon_H9e. % 0.67/0.92 generalize (zenon_H8d (a261)). zenon_intro zenon_H142. % 0.67/0.92 apply (zenon_imply_s _ _ zenon_H142); [ zenon_intro zenon_H9 | zenon_intro zenon_H143 ]. % 0.67/0.92 exact (zenon_H9 zenon_Ha). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_Haa | zenon_intro zenon_Ha6 ]. % 0.67/0.92 exact (zenon_Haa zenon_H9f). % 0.67/0.92 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Ha8 ]. % 0.67/0.92 exact (zenon_Ha9 zenon_H9d). % 0.67/0.92 exact (zenon_Ha8 zenon_H9e). % 0.67/0.92 (* end of lemma zenon_L76_ *) % 0.67/0.92 assert (zenon_L77_ : ((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> False). % 0.67/0.92 do 0 intro. intros zenon_Haf zenon_H10a zenon_H43 zenon_H42 zenon_H41 zenon_H102 zenon_H101 zenon_H100. % 0.67/0.92 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.67/0.92 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.67/0.92 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_H40 | zenon_intro zenon_H10b ]. % 0.67/0.92 apply (zenon_L19_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hff | zenon_intro zenon_H8d ]. % 0.67/0.92 apply (zenon_L55_); trivial. % 0.67/0.92 apply (zenon_L76_); trivial. % 0.67/0.92 (* end of lemma zenon_L77_ *) % 0.67/0.92 assert (zenon_L78_ : ((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> False). % 0.67/0.92 do 0 intro. intros zenon_H144 zenon_H145 zenon_H10a zenon_H102 zenon_H101 zenon_H100 zenon_H43 zenon_H42 zenon_H41 zenon_H13e zenon_H140. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.67/0.92 apply (zenon_L75_); trivial. % 0.67/0.92 apply (zenon_L77_); trivial. % 0.67/0.92 (* end of lemma zenon_L78_ *) % 0.67/0.92 assert (zenon_L79_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((forall X94 : zenon_U, ((ndr1_0)->((c1_1 X94)\/((~(c0_1 X94))\/(~(c3_1 X94))))))\/((hskp1)\/(hskp19))) -> (~(hskp19)) -> (~(hskp1)) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> (ndr1_0) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> False). % 0.67/0.92 do 0 intro. intros zenon_H148 zenon_H145 zenon_H10a zenon_H43 zenon_H42 zenon_H41 zenon_H13e zenon_H140 zenon_H130 zenon_H67 zenon_H3 zenon_H11a zenon_H119 zenon_H118 zenon_Ha zenon_H100 zenon_H101 zenon_H102 zenon_H149. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ]. % 0.67/0.92 apply (zenon_L71_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hff | zenon_intro zenon_H133 ]. % 0.67/0.92 apply (zenon_L55_); trivial. % 0.67/0.92 exact (zenon_H132 zenon_H133). % 0.67/0.92 apply (zenon_L78_); trivial. % 0.67/0.92 (* end of lemma zenon_L79_ *) % 0.67/0.92 assert (zenon_L80_ : ((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> (~(hskp1)) -> ((forall X94 : zenon_U, ((ndr1_0)->((c1_1 X94)\/((~(c0_1 X94))\/(~(c3_1 X94))))))\/((hskp1)\/(hskp19))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> False). % 0.67/0.92 do 0 intro. intros zenon_H54 zenon_H14b zenon_Hd6 zenon_Hd3 zenon_H1b zenon_H149 zenon_H102 zenon_H101 zenon_H100 zenon_H118 zenon_H119 zenon_H11a zenon_H3 zenon_H130 zenon_H140 zenon_H13e zenon_H10a zenon_H145 zenon_H148. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.67/0.92 apply (zenon_L79_); trivial. % 0.67/0.92 apply (zenon_L49_); trivial. % 0.67/0.92 (* end of lemma zenon_L80_ *) % 0.67/0.92 assert (zenon_L81_ : (forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71))))) -> (ndr1_0) -> (~(c1_1 (a217))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> False). % 0.67/0.92 do 0 intro. intros zenon_H14c zenon_Ha zenon_H14d zenon_H14e zenon_H14f. % 0.67/0.92 generalize (zenon_H14c (a217)). zenon_intro zenon_H150. % 0.67/0.92 apply (zenon_imply_s _ _ zenon_H150); [ zenon_intro zenon_H9 | zenon_intro zenon_H151 ]. % 0.67/0.92 exact (zenon_H9 zenon_Ha). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H153 | zenon_intro zenon_H152 ]. % 0.67/0.92 exact (zenon_H14d zenon_H153). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H155 | zenon_intro zenon_H154 ]. % 0.67/0.92 exact (zenon_H14e zenon_H155). % 0.67/0.92 exact (zenon_H14f zenon_H154). % 0.67/0.92 (* end of lemma zenon_L81_ *) % 0.67/0.92 assert (zenon_L82_ : ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> (~(c1_1 (a217))) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp2)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H156 zenon_H14f zenon_H14e zenon_H14d zenon_Ha zenon_H74 zenon_H13e. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H14c | zenon_intro zenon_H141 ]. % 0.67/0.92 apply (zenon_L81_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H75 | zenon_intro zenon_H13f ]. % 0.67/0.92 exact (zenon_H74 zenon_H75). % 0.67/0.92 exact (zenon_H13e zenon_H13f). % 0.67/0.92 (* end of lemma zenon_L82_ *) % 0.67/0.92 assert (zenon_L83_ : (~(hskp29)) -> (hskp29) -> False). % 0.67/0.92 do 0 intro. intros zenon_H157 zenon_H158. % 0.67/0.92 exact (zenon_H157 zenon_H158). % 0.67/0.92 (* end of lemma zenon_L83_ *) % 0.67/0.92 assert (zenon_L84_ : ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (c3_1 (a261)) -> (c2_1 (a261)) -> (c1_1 (a261)) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp29)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H159 zenon_H9e zenon_H9d zenon_H9f zenon_Ha zenon_H132 zenon_H157. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H8d | zenon_intro zenon_H15a ]. % 0.67/0.92 apply (zenon_L76_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H133 | zenon_intro zenon_H158 ]. % 0.67/0.92 exact (zenon_H132 zenon_H133). % 0.67/0.92 exact (zenon_H157 zenon_H158). % 0.67/0.92 (* end of lemma zenon_L84_ *) % 0.67/0.92 assert (zenon_L85_ : (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> (c0_1 (a296)) -> (c2_1 (a296)) -> (c3_1 (a296)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H9c zenon_Ha zenon_H15b zenon_H15c zenon_H15d. % 0.67/0.92 generalize (zenon_H9c (a296)). zenon_intro zenon_H15e. % 0.67/0.92 apply (zenon_imply_s _ _ zenon_H15e); [ zenon_intro zenon_H9 | zenon_intro zenon_H15f ]. % 0.67/0.92 exact (zenon_H9 zenon_Ha). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H161 | zenon_intro zenon_H160 ]. % 0.67/0.92 exact (zenon_H161 zenon_H15b). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H163 | zenon_intro zenon_H162 ]. % 0.67/0.92 exact (zenon_H163 zenon_H15c). % 0.67/0.92 exact (zenon_H162 zenon_H15d). % 0.67/0.92 (* end of lemma zenon_L85_ *) % 0.67/0.92 assert (zenon_L86_ : ((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> (~(c3_1 (a255))) -> (~(c1_1 (a255))) -> (~(c0_1 (a255))) -> (~(hskp2)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H164 zenon_H165 zenon_Hcc zenon_Hcb zenon_Hca zenon_H13e. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Ha. zenon_intro zenon_H166. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H15b. zenon_intro zenon_H167. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H168 ]. % 0.67/0.92 apply (zenon_L47_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9c | zenon_intro zenon_H13f ]. % 0.67/0.92 apply (zenon_L85_); trivial. % 0.67/0.92 exact (zenon_H13e zenon_H13f). % 0.67/0.92 (* end of lemma zenon_L86_ *) % 0.67/0.92 assert (zenon_L87_ : ((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a255))) -> (~(c1_1 (a255))) -> (~(c0_1 (a255))) -> (~(hskp26)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> False). % 0.67/0.92 do 0 intro. intros zenon_Haf zenon_H169 zenon_H165 zenon_H13e zenon_Hcc zenon_Hcb zenon_Hca zenon_H132 zenon_H159. % 0.67/0.92 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.67/0.92 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.67/0.92 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H157 | zenon_intro zenon_H164 ]. % 0.67/0.92 apply (zenon_L84_); trivial. % 0.67/0.92 apply (zenon_L86_); trivial. % 0.67/0.92 (* end of lemma zenon_L87_ *) % 0.67/0.92 assert (zenon_L88_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> (~(c3_1 (a255))) -> (~(c1_1 (a255))) -> (~(c0_1 (a255))) -> (~(hskp26)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (ndr1_0) -> (~(c1_1 (a217))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(hskp2)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> False). % 0.67/0.92 do 0 intro. intros zenon_H145 zenon_H169 zenon_H165 zenon_Hcc zenon_Hcb zenon_Hca zenon_H132 zenon_H159 zenon_Ha zenon_H14d zenon_H14e zenon_H14f zenon_H13e zenon_H156. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.67/0.92 apply (zenon_L82_); trivial. % 0.67/0.92 apply (zenon_L87_); trivial. % 0.67/0.92 (* end of lemma zenon_L88_ *) % 0.67/0.92 assert (zenon_L89_ : ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp3)\/(hskp6))) -> (c1_1 (a261)) -> (c3_1 (a261)) -> (c2_1 (a261)) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp6)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H61 zenon_H9f zenon_H9e zenon_H9d zenon_H9c zenon_Ha zenon_H1b zenon_H17. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 0.67/0.92 apply (zenon_L41_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H1c | zenon_intro zenon_H18 ]. % 0.67/0.92 exact (zenon_H1b zenon_H1c). % 0.67/0.92 exact (zenon_H17 zenon_H18). % 0.67/0.92 (* end of lemma zenon_L89_ *) % 0.67/0.92 assert (zenon_L90_ : ((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (~(c1_1 (a217))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(hskp2)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> False). % 0.67/0.92 do 0 intro. intros zenon_H54 zenon_H145 zenon_H10a zenon_H102 zenon_H101 zenon_H100 zenon_H14d zenon_H14e zenon_H14f zenon_H13e zenon_H156. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.67/0.92 apply (zenon_L82_); trivial. % 0.67/0.92 apply (zenon_L77_); trivial. % 0.67/0.92 (* end of lemma zenon_L90_ *) % 0.67/0.92 assert (zenon_L91_ : ((ndr1_0)/\((c1_1 (a220))/\((c2_1 (a220))/\(~(c3_1 (a220)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a217))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(hskp2)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> (~(hskp3)) -> ((hskp3)\/(hskp16)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H16a zenon_H52 zenon_H145 zenon_H10a zenon_H14d zenon_H14e zenon_H14f zenon_H13e zenon_H156 zenon_H1b zenon_H1f. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Ha. zenon_intro zenon_H16b. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H101. zenon_intro zenon_H16c. % 0.67/0.92 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H102. zenon_intro zenon_H100. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.67/0.92 apply (zenon_L12_); trivial. % 0.67/0.92 apply (zenon_L90_); trivial. % 0.67/0.92 (* end of lemma zenon_L91_ *) % 0.67/0.92 assert (zenon_L92_ : (~(hskp20)) -> (hskp20) -> False). % 0.67/0.92 do 0 intro. intros zenon_H16d zenon_H16e. % 0.67/0.92 exact (zenon_H16d zenon_H16e). % 0.67/0.92 (* end of lemma zenon_L92_ *) % 0.67/0.92 assert (zenon_L93_ : (~(hskp11)) -> (hskp11) -> False). % 0.67/0.92 do 0 intro. intros zenon_H16f zenon_H170. % 0.67/0.92 exact (zenon_H16f zenon_H170). % 0.67/0.92 (* end of lemma zenon_L93_ *) % 0.67/0.92 assert (zenon_L94_ : ((hskp20)\/((hskp11)\/(hskp1))) -> (~(hskp20)) -> (~(hskp11)) -> (~(hskp1)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H171 zenon_H16d zenon_H16f zenon_H3. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H16e | zenon_intro zenon_H172 ]. % 0.67/0.92 exact (zenon_H16d zenon_H16e). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H172); [ zenon_intro zenon_H170 | zenon_intro zenon_H4 ]. % 0.67/0.92 exact (zenon_H16f zenon_H170). % 0.67/0.92 exact (zenon_H3 zenon_H4). % 0.67/0.92 (* end of lemma zenon_L94_ *) % 0.67/0.92 assert (zenon_L95_ : (forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W)))))) -> (ndr1_0) -> (~(c2_1 (a216))) -> (forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11)))))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H173 zenon_Ha zenon_H174 zenon_H134 zenon_H175 zenon_H176. % 0.67/0.92 generalize (zenon_H173 (a216)). zenon_intro zenon_H177. % 0.67/0.92 apply (zenon_imply_s _ _ zenon_H177); [ zenon_intro zenon_H9 | zenon_intro zenon_H178 ]. % 0.67/0.92 exact (zenon_H9 zenon_Ha). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H17a | zenon_intro zenon_H179 ]. % 0.67/0.92 exact (zenon_H174 zenon_H17a). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H17c | zenon_intro zenon_H17b ]. % 0.67/0.92 generalize (zenon_H134 (a216)). zenon_intro zenon_H17d. % 0.67/0.92 apply (zenon_imply_s _ _ zenon_H17d); [ zenon_intro zenon_H9 | zenon_intro zenon_H17e ]. % 0.67/0.92 exact (zenon_H9 zenon_Ha). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H17b | zenon_intro zenon_H17f ]. % 0.67/0.92 exact (zenon_H17b zenon_H175). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H181 | zenon_intro zenon_H180 ]. % 0.67/0.92 exact (zenon_H181 zenon_H176). % 0.67/0.92 exact (zenon_H180 zenon_H17c). % 0.67/0.92 exact (zenon_H17b zenon_H175). % 0.67/0.92 (* end of lemma zenon_L95_ *) % 0.67/0.92 assert (zenon_L96_ : ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W)))))) -> (~(hskp27)) -> (~(hskp2)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H140 zenon_H176 zenon_H175 zenon_H174 zenon_Ha zenon_H173 zenon_H74 zenon_H13e. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H134 | zenon_intro zenon_H141 ]. % 0.67/0.92 apply (zenon_L95_); trivial. % 0.67/0.92 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H75 | zenon_intro zenon_H13f ]. % 0.67/0.92 exact (zenon_H74 zenon_H75). % 0.67/0.92 exact (zenon_H13e zenon_H13f). % 0.67/0.92 (* end of lemma zenon_L96_ *) % 0.67/0.92 assert (zenon_L97_ : (forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))) -> (ndr1_0) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H30 zenon_Ha zenon_H174 zenon_H175 zenon_H176. % 0.67/0.92 generalize (zenon_H30 (a216)). zenon_intro zenon_H182. % 0.67/0.92 apply (zenon_imply_s _ _ zenon_H182); [ zenon_intro zenon_H9 | zenon_intro zenon_H183 ]. % 0.67/0.92 exact (zenon_H9 zenon_Ha). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H17a | zenon_intro zenon_H184 ]. % 0.67/0.92 exact (zenon_H174 zenon_H17a). % 0.67/0.92 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H17b | zenon_intro zenon_H181 ]. % 0.67/0.92 exact (zenon_H17b zenon_H175). % 0.67/0.92 exact (zenon_H181 zenon_H176). % 0.67/0.92 (* end of lemma zenon_L97_ *) % 0.67/0.92 assert (zenon_L98_ : ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp5))) -> (~(hskp2)) -> (~(hskp27)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (ndr1_0) -> (~(hskp5)) -> False). % 0.67/0.92 do 0 intro. intros zenon_H185 zenon_H13e zenon_H74 zenon_H140 zenon_H176 zenon_H175 zenon_H174 zenon_Ha zenon_H10c. % 0.67/0.93 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H173 | zenon_intro zenon_H186 ]. % 0.67/0.93 apply (zenon_L96_); trivial. % 0.67/0.93 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H30 | zenon_intro zenon_H10d ]. % 0.67/0.93 apply (zenon_L97_); trivial. % 0.67/0.93 exact (zenon_H10c zenon_H10d). % 0.67/0.93 (* end of lemma zenon_L98_ *) % 0.67/0.93 assert (zenon_L99_ : (forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (ndr1_0) -> (~(c3_1 (a257))) -> (c0_1 (a257)) -> (c1_1 (a257)) -> False). % 0.67/0.93 do 0 intro. intros zenon_H82 zenon_Ha zenon_H187 zenon_H188 zenon_H189. % 0.67/0.93 generalize (zenon_H82 (a257)). zenon_intro zenon_H18a. % 0.67/0.93 apply (zenon_imply_s _ _ zenon_H18a); [ zenon_intro zenon_H9 | zenon_intro zenon_H18b ]. % 0.67/0.93 exact (zenon_H9 zenon_Ha). % 0.67/0.93 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H18d | zenon_intro zenon_H18c ]. % 0.67/0.93 exact (zenon_H187 zenon_H18d). % 0.67/0.93 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H18f | zenon_intro zenon_H18e ]. % 0.67/0.93 exact (zenon_H18f zenon_H188). % 0.67/0.93 exact (zenon_H18e zenon_H189). % 0.67/0.93 (* end of lemma zenon_L99_ *) % 0.67/0.93 assert (zenon_L100_ : ((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (c1_1 (a257)) -> (c0_1 (a257)) -> (~(c3_1 (a257))) -> False). % 0.67/0.93 do 0 intro. intros zenon_Haf zenon_H94 zenon_H176 zenon_H175 zenon_H174 zenon_H189 zenon_H188 zenon_H187. % 0.67/0.93 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.67/0.93 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.67/0.93 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.67/0.93 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H30 | zenon_intro zenon_H95 ]. % 0.67/0.93 apply (zenon_L97_); trivial. % 0.67/0.93 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H82 | zenon_intro zenon_H8d ]. % 0.67/0.93 apply (zenon_L99_); trivial. % 0.67/0.93 apply (zenon_L76_); trivial. % 0.67/0.93 (* end of lemma zenon_L100_ *) % 0.67/0.93 assert (zenon_L101_ : ((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp5))) -> False). % 0.67/0.93 do 0 intro. intros zenon_H190 zenon_H145 zenon_H94 zenon_H140 zenon_H13e zenon_H176 zenon_H175 zenon_H174 zenon_H10c zenon_H185. % 0.67/0.93 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_Ha. zenon_intro zenon_H191. % 0.67/0.93 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H188. zenon_intro zenon_H192. % 0.67/0.93 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H189. zenon_intro zenon_H187. % 0.67/0.93 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.67/0.93 apply (zenon_L98_); trivial. % 0.67/0.93 apply (zenon_L100_); trivial. % 0.67/0.93 (* end of lemma zenon_L101_ *) % 0.67/0.93 assert (zenon_L102_ : (forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W)))))) -> (ndr1_0) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> (c0_1 (a236)) -> False). % 0.67/0.93 do 0 intro. intros zenon_H173 zenon_Ha zenon_H193 zenon_H194 zenon_H195. % 0.67/0.93 generalize (zenon_H173 (a236)). zenon_intro zenon_H196. % 0.67/0.93 apply (zenon_imply_s _ _ zenon_H196); [ zenon_intro zenon_H9 | zenon_intro zenon_H197 ]. % 0.67/0.93 exact (zenon_H9 zenon_Ha). % 0.67/0.93 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H199 | zenon_intro zenon_H198 ]. % 0.67/0.93 exact (zenon_H193 zenon_H199). % 0.67/0.93 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H19b | zenon_intro zenon_H19a ]. % 0.67/0.93 exact (zenon_H194 zenon_H19b). % 0.67/0.93 exact (zenon_H19a zenon_H195). % 0.67/0.93 (* end of lemma zenon_L102_ *) % 0.67/0.93 assert (zenon_L103_ : ((ndr1_0)/\((c0_1 (a236))/\((~(c2_1 (a236)))/\(~(c3_1 (a236)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp5))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (~(hskp5)) -> False). % 0.67/0.93 do 0 intro. intros zenon_H19c zenon_H185 zenon_H176 zenon_H175 zenon_H174 zenon_H10c. % 0.67/0.93 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Ha. zenon_intro zenon_H19d. % 0.67/0.93 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H195. zenon_intro zenon_H19e. % 0.67/0.93 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H193. zenon_intro zenon_H194. % 0.67/0.93 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H173 | zenon_intro zenon_H186 ]. % 0.67/0.93 apply (zenon_L102_); trivial. % 0.67/0.93 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H30 | zenon_intro zenon_H10d ]. % 0.67/0.93 apply (zenon_L97_); trivial. % 0.67/0.93 exact (zenon_H10c zenon_H10d). % 0.67/0.93 (* end of lemma zenon_L103_ *) % 0.67/0.93 assert (zenon_L104_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> (c2_1 (a223)) -> (c1_1 (a223)) -> (~(c0_1 (a223))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.67/0.93 do 0 intro. intros zenon_H4c zenon_H23 zenon_H22 zenon_H21 zenon_H176 zenon_H175 zenon_H174 zenon_Ha zenon_H3e. % 0.67/0.93 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H20 | zenon_intro zenon_H51 ]. % 0.67/0.93 apply (zenon_L13_); trivial. % 0.67/0.93 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H30 | zenon_intro zenon_H3f ]. % 0.67/0.93 apply (zenon_L97_); trivial. % 0.67/0.93 exact (zenon_H3e zenon_H3f). % 0.67/0.93 (* end of lemma zenon_L104_ *) % 0.67/0.93 assert (zenon_L105_ : (~(hskp18)) -> (hskp18) -> False). % 0.67/0.93 do 0 intro. intros zenon_H19f zenon_H1a0. % 0.67/0.93 exact (zenon_H19f zenon_H1a0). % 0.67/0.93 (* end of lemma zenon_L105_ *) % 0.67/0.93 assert (zenon_L106_ : ((hskp18)\/((hskp27)\/(hskp17))) -> (~(hskp18)) -> (~(hskp27)) -> (~(hskp17)) -> False). % 0.67/0.93 do 0 intro. intros zenon_H1a1 zenon_H19f zenon_H74 zenon_H2c. % 0.67/0.93 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H1a2 ]. % 0.67/0.93 exact (zenon_H19f zenon_H1a0). % 0.67/0.93 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H75 | zenon_intro zenon_H2d ]. % 0.67/0.93 exact (zenon_H74 zenon_H75). % 0.67/0.93 exact (zenon_H2c zenon_H2d). % 0.67/0.93 (* end of lemma zenon_L106_ *) % 0.67/0.93 assert (zenon_L107_ : ((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (~(hskp18)) -> (~(hskp17)) -> ((hskp18)\/((hskp27)\/(hskp17))) -> False). % 0.67/0.93 do 0 intro. intros zenon_H190 zenon_H145 zenon_H94 zenon_H176 zenon_H175 zenon_H174 zenon_H19f zenon_H2c zenon_H1a1. % 0.67/0.93 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_Ha. zenon_intro zenon_H191. % 0.67/0.93 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H188. zenon_intro zenon_H192. % 0.67/0.93 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H189. zenon_intro zenon_H187. % 0.67/0.93 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.67/0.93 apply (zenon_L106_); trivial. % 0.67/0.93 apply (zenon_L100_); trivial. % 0.67/0.93 (* end of lemma zenon_L107_ *) % 0.67/0.93 assert (zenon_L108_ : (~(hskp23)) -> (hskp23) -> False). % 0.67/0.93 do 0 intro. intros zenon_H1a3 zenon_H1a4. % 0.67/0.93 exact (zenon_H1a3 zenon_H1a4). % 0.67/0.93 (* end of lemma zenon_L108_ *) % 0.67/0.93 assert (zenon_L109_ : ((hskp20)\/((hskp23)\/(hskp4))) -> (~(hskp20)) -> (~(hskp23)) -> (~(hskp4)) -> False). % 0.67/0.93 do 0 intro. intros zenon_H1a5 zenon_H16d zenon_H1a3 zenon_Hd3. % 0.67/0.93 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H16e | zenon_intro zenon_H1a6 ]. % 0.67/0.93 exact (zenon_H16d zenon_H16e). % 0.67/0.93 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H1a4 | zenon_intro zenon_Hd4 ]. % 0.67/0.93 exact (zenon_H1a3 zenon_H1a4). % 0.67/0.93 exact (zenon_Hd3 zenon_Hd4). % 0.67/0.93 (* end of lemma zenon_L109_ *) % 0.67/0.93 assert (zenon_L110_ : (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37)))))) -> (ndr1_0) -> (~(c0_1 (a274))) -> (~(c3_1 (a274))) -> (c1_1 (a274)) -> False). % 0.67/0.93 do 0 intro. intros zenon_H1a7 zenon_Ha zenon_H1a8 zenon_H1a9 zenon_H1aa. % 0.67/0.93 generalize (zenon_H1a7 (a274)). zenon_intro zenon_H1ab. % 0.67/0.93 apply (zenon_imply_s _ _ zenon_H1ab); [ zenon_intro zenon_H9 | zenon_intro zenon_H1ac ]. % 0.67/0.93 exact (zenon_H9 zenon_Ha). % 0.67/0.93 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1ad ]. % 0.67/0.93 exact (zenon_H1a8 zenon_H1ae). % 0.67/0.93 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1af ]. % 0.67/0.93 exact (zenon_H1a9 zenon_H1b0). % 0.67/0.93 exact (zenon_H1af zenon_H1aa). % 0.67/0.93 (* end of lemma zenon_L110_ *) % 0.67/0.93 assert (zenon_L111_ : (forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41)))))) -> (ndr1_0) -> (~(c1_1 (a252))) -> (c0_1 (a252)) -> (c2_1 (a252)) -> False). % 0.67/0.93 do 0 intro. intros zenon_H1b1 zenon_Ha zenon_H1b2 zenon_H1b3 zenon_H1b4. % 0.67/0.93 generalize (zenon_H1b1 (a252)). zenon_intro zenon_H1b5. % 0.67/0.93 apply (zenon_imply_s _ _ zenon_H1b5); [ zenon_intro zenon_H9 | zenon_intro zenon_H1b6 ]. % 0.67/0.93 exact (zenon_H9 zenon_Ha). % 0.67/0.93 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1b7 ]. % 0.67/0.93 exact (zenon_H1b2 zenon_H1b8). % 0.67/0.93 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1b9 ]. % 0.67/0.93 exact (zenon_H1ba zenon_H1b3). % 0.67/0.93 exact (zenon_H1b9 zenon_H1b4). % 0.67/0.93 (* end of lemma zenon_L111_ *) % 0.67/0.93 assert (zenon_L112_ : ((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (c2_1 (a252)) -> (c0_1 (a252)) -> (~(c1_1 (a252))) -> (~(hskp11)) -> False). % 0.67/0.93 do 0 intro. intros zenon_H1bb zenon_H1bc zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_H16f. % 0.67/0.93 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Ha. zenon_intro zenon_H1bd. % 0.67/0.93 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H1aa. zenon_intro zenon_H1be. % 0.67/0.93 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 0.67/0.93 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1bf ]. % 0.67/0.93 apply (zenon_L110_); trivial. % 0.67/0.93 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H170 ]. % 0.67/0.93 apply (zenon_L111_); trivial. % 0.67/0.93 exact (zenon_H16f zenon_H170). % 0.67/0.93 (* end of lemma zenon_L112_ *) % 0.67/0.93 assert (zenon_L113_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (~(hskp11)) -> (c2_1 (a252)) -> (c0_1 (a252)) -> (~(c1_1 (a252))) -> (~(hskp20)) -> (~(hskp4)) -> ((hskp20)\/((hskp23)\/(hskp4))) -> False). % 0.67/0.93 do 0 intro. intros zenon_H1c0 zenon_H1bc zenon_H16f zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_H16d zenon_Hd3 zenon_H1a5. % 0.67/0.93 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1bb ]. % 0.67/0.93 apply (zenon_L109_); trivial. % 0.67/0.93 apply (zenon_L112_); trivial. % 0.67/0.93 (* end of lemma zenon_L113_ *) % 0.67/0.93 assert (zenon_L114_ : ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (c1_1 (a257)) -> (c0_1 (a257)) -> (~(c3_1 (a257))) -> (forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60)))))) -> (ndr1_0) -> (c2_1 (a320)) -> (c3_1 (a320)) -> False). % 0.67/0.93 do 0 intro. intros zenon_H94 zenon_H176 zenon_H175 zenon_H174 zenon_H189 zenon_H188 zenon_H187 zenon_H8c zenon_Ha zenon_H7a zenon_H7b. % 0.67/0.93 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H30 | zenon_intro zenon_H95 ]. % 0.67/0.93 apply (zenon_L97_); trivial. % 0.67/0.93 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H82 | zenon_intro zenon_H8d ]. % 0.67/0.93 apply (zenon_L99_); trivial. % 0.67/0.93 apply (zenon_L36_); trivial. % 0.67/0.93 (* end of lemma zenon_L114_ *) % 0.67/0.93 assert (zenon_L115_ : ((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (~(c0_1 (a231))) -> (~(c3_1 (a257))) -> (c0_1 (a257)) -> (c1_1 (a257)) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp9)) -> False). % 0.67/0.93 do 0 intro. intros zenon_Hc5 zenon_Hb1 zenon_H5a zenon_H59 zenon_H58 zenon_H187 zenon_H188 zenon_H189 zenon_H174 zenon_H175 zenon_H176 zenon_H94 zenon_Had. % 0.67/0.93 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc6. % 0.67/0.93 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7a. zenon_intro zenon_Hc7. % 0.67/0.93 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 0.67/0.93 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H57 | zenon_intro zenon_Hb5 ]. % 0.67/0.93 apply (zenon_L22_); trivial. % 0.67/0.93 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H8c | zenon_intro zenon_Hae ]. % 0.67/0.93 apply (zenon_L114_); trivial. % 0.67/0.93 exact (zenon_Had zenon_Hae). % 0.67/0.93 (* end of lemma zenon_L115_ *) % 0.67/0.93 assert (zenon_L116_ : ((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (~(c0_1 (a231))) -> (~(hskp19)) -> ((hskp25)\/(hskp19)) -> False). % 0.67/0.93 do 0 intro. intros zenon_H190 zenon_Hc1 zenon_Hb1 zenon_Had zenon_H174 zenon_H175 zenon_H176 zenon_H94 zenon_H5a zenon_H59 zenon_H58 zenon_H67 zenon_H69. % 0.67/0.93 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_Ha. zenon_intro zenon_H191. % 0.67/0.93 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H188. zenon_intro zenon_H192. % 0.67/0.93 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H189. zenon_intro zenon_H187. % 0.67/0.93 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H6a | zenon_intro zenon_Hc5 ]. % 0.67/0.93 apply (zenon_L27_); trivial. % 0.67/0.93 apply (zenon_L115_); trivial. % 0.67/0.93 (* end of lemma zenon_L116_ *) % 0.67/0.93 assert (zenon_L117_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (~(c0_1 (a231))) -> (~(hskp19)) -> ((hskp25)\/(hskp19)) -> ((hskp20)\/((hskp23)\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a252))) -> (c0_1 (a252)) -> (c2_1 (a252)) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> False). % 0.67/0.93 do 0 intro. intros zenon_H1c1 zenon_Hc1 zenon_Hb1 zenon_Had zenon_H174 zenon_H175 zenon_H176 zenon_H94 zenon_H5a zenon_H59 zenon_H58 zenon_H67 zenon_H69 zenon_H1a5 zenon_Hd3 zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_H16f zenon_H1bc zenon_H1c0. % 0.67/0.93 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H16d | zenon_intro zenon_H190 ]. % 0.67/0.93 apply (zenon_L113_); trivial. % 0.67/0.93 apply (zenon_L116_); trivial. % 0.67/0.93 (* end of lemma zenon_L117_ *) % 0.67/0.93 assert (zenon_L118_ : ((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp1))) -> ((hskp20)\/((hskp23)\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a252))) -> (c0_1 (a252)) -> (c2_1 (a252)) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> False). % 0.67/0.93 do 0 intro. intros zenon_Hd5 zenon_H1c1 zenon_H145 zenon_H94 zenon_H140 zenon_H13e zenon_H176 zenon_H175 zenon_H174 zenon_H3 zenon_H1c2 zenon_H1a5 zenon_Hd3 zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_H16f zenon_H1bc zenon_H1c0. % 0.67/0.93 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha. zenon_intro zenon_Hd7. % 0.67/0.93 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 0.67/0.93 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.67/0.93 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H16d | zenon_intro zenon_H190 ]. % 0.67/0.93 apply (zenon_L113_); trivial. % 0.67/0.93 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_Ha. zenon_intro zenon_H191. % 0.67/0.93 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H188. zenon_intro zenon_H192. % 0.67/0.93 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H189. zenon_intro zenon_H187. % 0.67/0.93 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.67/0.93 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H1c3 ]. % 0.67/0.93 apply (zenon_L47_); trivial. % 0.67/0.93 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H173 | zenon_intro zenon_H4 ]. % 0.67/0.93 apply (zenon_L96_); trivial. % 0.67/0.93 exact (zenon_H3 zenon_H4). % 0.67/0.93 apply (zenon_L100_); trivial. % 0.67/0.93 (* end of lemma zenon_L118_ *) % 0.67/0.93 assert (zenon_L119_ : (forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))) -> (ndr1_0) -> (~(c2_1 (a248))) -> (c1_1 (a248)) -> (c3_1 (a248)) -> False). % 0.67/0.93 do 0 intro. intros zenon_H1c4 zenon_Ha zenon_H31 zenon_H33 zenon_H4f. % 0.67/0.93 generalize (zenon_H1c4 (a248)). zenon_intro zenon_H1c5. % 0.67/0.93 apply (zenon_imply_s _ _ zenon_H1c5); [ zenon_intro zenon_H9 | zenon_intro zenon_H1c6 ]. % 0.67/0.93 exact (zenon_H9 zenon_Ha). % 0.67/0.93 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H37 | zenon_intro zenon_H6e ]. % 0.67/0.93 exact (zenon_H31 zenon_H37). % 0.67/0.93 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H38 | zenon_intro zenon_H6f ]. % 0.67/0.93 exact (zenon_H38 zenon_H33). % 0.67/0.93 exact (zenon_H6f zenon_H4f). % 0.67/0.93 (* end of lemma zenon_L119_ *) % 0.67/0.93 assert (zenon_L120_ : ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (~(c0_1 (a231))) -> (c3_1 (a248)) -> (c1_1 (a248)) -> (~(c2_1 (a248))) -> (ndr1_0) -> (~(hskp18)) -> False). % 0.67/0.93 do 0 intro. intros zenon_H1c7 zenon_H5a zenon_H59 zenon_H58 zenon_H4f zenon_H33 zenon_H31 zenon_Ha zenon_H19f. % 0.67/0.93 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c8 ]. % 0.67/0.93 apply (zenon_L22_); trivial. % 0.67/0.93 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1a0 ]. % 0.67/0.93 apply (zenon_L119_); trivial. % 0.67/0.93 exact (zenon_H19f zenon_H1a0). % 0.67/0.93 (* end of lemma zenon_L120_ *) % 0.67/0.93 assert (zenon_L121_ : (forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11)))))) -> (ndr1_0) -> (forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57)))))) -> (c1_1 (a248)) -> (c3_1 (a248)) -> False). % 0.67/0.93 do 0 intro. intros zenon_H134 zenon_Ha zenon_H57 zenon_H33 zenon_H4f. % 0.67/0.93 generalize (zenon_H134 (a248)). zenon_intro zenon_H1c9. % 0.67/0.93 apply (zenon_imply_s _ _ zenon_H1c9); [ zenon_intro zenon_H9 | zenon_intro zenon_H1ca ]. % 0.67/0.93 exact (zenon_H9 zenon_Ha). % 0.67/0.93 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H39 | zenon_intro zenon_H6e ]. % 0.67/0.93 apply (zenon_L28_); trivial. % 0.67/0.93 apply (zenon_or_s _ _ zenon_H6e); [ zenon_intro zenon_H38 | zenon_intro zenon_H6f ]. % 0.67/0.93 exact (zenon_H38 zenon_H33). % 0.67/0.93 exact (zenon_H6f zenon_H4f). % 0.67/0.93 (* end of lemma zenon_L121_ *) % 0.67/0.93 assert (zenon_L122_ : ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (c3_1 (a248)) -> (c1_1 (a248)) -> (forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57)))))) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp2)) -> False). % 0.67/0.93 do 0 intro. intros zenon_H140 zenon_H4f zenon_H33 zenon_H57 zenon_Ha zenon_H74 zenon_H13e. % 0.67/0.93 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H134 | zenon_intro zenon_H141 ]. % 0.67/0.93 apply (zenon_L121_); trivial. % 0.67/0.93 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H75 | zenon_intro zenon_H13f ]. % 0.67/0.93 exact (zenon_H74 zenon_H75). % 0.67/0.93 exact (zenon_H13e zenon_H13f). % 0.67/0.93 (* end of lemma zenon_L122_ *) % 0.67/0.93 assert (zenon_L123_ : ((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a248)) -> (c1_1 (a248)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a257)) -> (c0_1 (a257)) -> (~(c3_1 (a257))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (~(hskp9)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> False). % 0.67/0.93 do 0 intro. intros zenon_Hc5 zenon_H145 zenon_H140 zenon_H13e zenon_H4f zenon_H33 zenon_H94 zenon_H189 zenon_H188 zenon_H187 zenon_H176 zenon_H175 zenon_H174 zenon_Had zenon_Hb1. % 0.67/0.93 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc6. % 0.67/0.93 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7a. zenon_intro zenon_Hc7. % 0.67/0.93 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 0.67/0.93 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.67/0.93 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H57 | zenon_intro zenon_Hb5 ]. % 0.67/0.93 apply (zenon_L122_); trivial. % 0.67/0.93 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H8c | zenon_intro zenon_Hae ]. % 0.67/0.93 apply (zenon_L114_); trivial. % 0.67/0.93 exact (zenon_Had zenon_Hae). % 0.67/0.93 apply (zenon_L100_); trivial. % 0.67/0.93 (* end of lemma zenon_L123_ *) % 0.67/0.93 assert (zenon_L124_ : ((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a248)) -> (c1_1 (a248)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (~(hskp9)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp19)) -> ((hskp25)\/(hskp19)) -> False). % 0.67/0.93 do 0 intro. intros zenon_H190 zenon_Hc1 zenon_H145 zenon_H140 zenon_H13e zenon_H4f zenon_H33 zenon_H94 zenon_H176 zenon_H175 zenon_H174 zenon_Had zenon_Hb1 zenon_H67 zenon_H69. % 0.67/0.93 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_Ha. zenon_intro zenon_H191. % 0.67/0.93 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H188. zenon_intro zenon_H192. % 0.67/0.93 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H189. zenon_intro zenon_H187. % 0.67/0.93 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H6a | zenon_intro zenon_Hc5 ]. % 0.67/0.93 apply (zenon_L27_); trivial. % 0.67/0.93 apply (zenon_L123_); trivial. % 0.67/0.93 (* end of lemma zenon_L124_ *) % 0.67/0.93 assert (zenon_L125_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a248)) -> (c1_1 (a248)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (~(hskp9)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp19)) -> ((hskp25)\/(hskp19)) -> (~(hskp11)) -> (~(hskp1)) -> ((hskp20)\/((hskp11)\/(hskp1))) -> False). % 0.67/0.93 do 0 intro. intros zenon_H1c1 zenon_Hc1 zenon_H145 zenon_H140 zenon_H13e zenon_H4f zenon_H33 zenon_H94 zenon_H176 zenon_H175 zenon_H174 zenon_Had zenon_Hb1 zenon_H67 zenon_H69 zenon_H16f zenon_H3 zenon_H171. % 0.67/0.93 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H16d | zenon_intro zenon_H190 ]. % 0.67/0.93 apply (zenon_L94_); trivial. % 0.67/0.93 apply (zenon_L124_); trivial. % 0.67/0.93 (* end of lemma zenon_L125_ *) % 0.67/0.93 assert (zenon_L126_ : (forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34)))))) -> (ndr1_0) -> (~(c3_1 (a274))) -> (c1_1 (a274)) -> (c2_1 (a274)) -> False). % 0.67/0.93 do 0 intro. intros zenon_Hff zenon_Ha zenon_H1a9 zenon_H1aa zenon_H1cb. % 0.67/0.93 generalize (zenon_Hff (a274)). zenon_intro zenon_H1cc. % 0.67/0.93 apply (zenon_imply_s _ _ zenon_H1cc); [ zenon_intro zenon_H9 | zenon_intro zenon_H1cd ]. % 0.67/0.93 exact (zenon_H9 zenon_Ha). % 0.67/0.93 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1ce ]. % 0.67/0.93 exact (zenon_H1a9 zenon_H1b0). % 0.67/0.93 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H1af | zenon_intro zenon_H1cf ]. % 0.67/0.93 exact (zenon_H1af zenon_H1aa). % 0.67/0.93 exact (zenon_H1cf zenon_H1cb). % 0.67/0.93 (* end of lemma zenon_L126_ *) % 0.67/0.93 assert (zenon_L127_ : (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18))))) -> (ndr1_0) -> (~(c0_1 (a274))) -> (forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34)))))) -> (~(c3_1 (a274))) -> (c1_1 (a274)) -> False). % 0.67/0.93 do 0 intro. intros zenon_H1d0 zenon_Ha zenon_H1a8 zenon_Hff zenon_H1a9 zenon_H1aa. % 0.67/0.93 generalize (zenon_H1d0 (a274)). zenon_intro zenon_H1d1. % 0.67/0.93 apply (zenon_imply_s _ _ zenon_H1d1); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d2 ]. % 0.67/0.93 exact (zenon_H9 zenon_Ha). % 0.67/0.93 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1d3 ]. % 0.67/0.93 exact (zenon_H1a8 zenon_H1ae). % 0.67/0.93 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1b0 ]. % 0.67/0.93 apply (zenon_L126_); trivial. % 0.67/0.93 exact (zenon_H1a9 zenon_H1b0). % 0.67/0.93 (* end of lemma zenon_L127_ *) % 0.67/0.93 assert (zenon_L128_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (~(hskp19)) -> (~(hskp1)) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> ((forall X94 : zenon_U, ((ndr1_0)->((c1_1 X94)\/((~(c0_1 X94))\/(~(c3_1 X94))))))\/((hskp1)\/(hskp19))) -> (c1_1 (a274)) -> (~(c3_1 (a274))) -> (~(c0_1 (a274))) -> (ndr1_0) -> (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18))))) -> (~(hskp26)) -> False). % 0.67/0.93 do 0 intro. intros zenon_H149 zenon_H67 zenon_H3 zenon_H118 zenon_H119 zenon_H11a zenon_H130 zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_Ha zenon_H1d0 zenon_H132. % 0.67/0.93 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ]. % 0.67/0.93 apply (zenon_L71_); trivial. % 0.67/0.93 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hff | zenon_intro zenon_H133 ]. % 0.67/0.93 apply (zenon_L127_); trivial. % 0.67/0.93 exact (zenon_H132 zenon_H133). % 0.67/0.93 (* end of lemma zenon_L128_ *) % 0.67/0.93 assert (zenon_L129_ : ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp26)) -> (~(c0_1 (a274))) -> (~(c3_1 (a274))) -> (c1_1 (a274)) -> ((forall X94 : zenon_U, ((ndr1_0)->((c1_1 X94)\/((~(c0_1 X94))\/(~(c3_1 X94))))))\/((hskp1)\/(hskp19))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> (~(hskp1)) -> (~(hskp19)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (c3_1 (a320)) -> (c2_1 (a320)) -> (~(c0_1 (a320))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.67/0.93 do 0 intro. intros zenon_H1d4 zenon_H132 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H130 zenon_H11a zenon_H119 zenon_H118 zenon_H3 zenon_H67 zenon_H149 zenon_H7b zenon_H7a zenon_H79 zenon_Ha zenon_Had. % 0.67/0.93 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1d5 ]. % 0.67/0.93 apply (zenon_L128_); trivial. % 0.67/0.93 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hae ]. % 0.67/0.93 apply (zenon_L33_); trivial. % 0.67/0.93 exact (zenon_Had zenon_Hae). % 0.67/0.93 (* end of lemma zenon_L129_ *) % 0.67/0.93 assert (zenon_L130_ : (forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32)))))) -> (ndr1_0) -> (forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (~(c3_1 (a236))) -> (c0_1 (a236)) -> (~(c2_1 (a236))) -> False). % 0.67/0.93 do 0 intro. intros zenon_Hf0 zenon_Ha zenon_H82 zenon_H194 zenon_H195 zenon_H193. % 0.67/0.93 generalize (zenon_Hf0 (a236)). zenon_intro zenon_H1d6. % 0.67/0.93 apply (zenon_imply_s _ _ zenon_H1d6); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d7 ]. % 0.67/0.93 exact (zenon_H9 zenon_Ha). % 0.67/0.93 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H1d9 | zenon_intro zenon_H1d8 ]. % 0.67/0.93 generalize (zenon_H82 (a236)). zenon_intro zenon_H1da. % 0.67/0.93 apply (zenon_imply_s _ _ zenon_H1da); [ zenon_intro zenon_H9 | zenon_intro zenon_H1db ]. % 0.67/0.93 exact (zenon_H9 zenon_Ha). % 0.67/0.93 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19b | zenon_intro zenon_H1dc ]. % 0.67/0.93 exact (zenon_H194 zenon_H19b). % 0.67/0.93 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H19a | zenon_intro zenon_H1dd ]. % 0.67/0.93 exact (zenon_H19a zenon_H195). % 0.67/0.93 exact (zenon_H1dd zenon_H1d9). % 0.67/0.93 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H199 | zenon_intro zenon_H19a ]. % 0.67/0.93 exact (zenon_H193 zenon_H199). % 0.67/0.93 exact (zenon_H19a zenon_H195). % 0.67/0.93 (* end of lemma zenon_L130_ *) % 0.67/0.93 assert (zenon_L131_ : ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (~(c2_1 (a236))) -> (c0_1 (a236)) -> (~(c3_1 (a236))) -> (forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32)))))) -> (ndr1_0) -> (c1_1 (a261)) -> (c2_1 (a261)) -> (c3_1 (a261)) -> False). % 0.67/0.93 do 0 intro. intros zenon_H94 zenon_H176 zenon_H175 zenon_H174 zenon_H193 zenon_H195 zenon_H194 zenon_Hf0 zenon_Ha zenon_H9f zenon_H9d zenon_H9e. % 0.67/0.93 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H30 | zenon_intro zenon_H95 ]. % 0.67/0.93 apply (zenon_L97_); trivial. % 0.67/0.93 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H82 | zenon_intro zenon_H8d ]. % 0.67/0.93 apply (zenon_L130_); trivial. % 0.67/0.93 apply (zenon_L76_); trivial. % 0.67/0.93 (* end of lemma zenon_L131_ *) % 0.67/0.93 assert (zenon_L132_ : ((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(hskp1))) -> (~(hskp19)) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> ((forall X94 : zenon_U, ((ndr1_0)->((c1_1 X94)\/((~(c0_1 X94))\/(~(c3_1 X94))))))\/((hskp1)\/(hskp19))) -> (~(c3_1 (a236))) -> (c0_1 (a236)) -> (~(c2_1 (a236))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp1)) -> False). % 0.67/0.93 do 0 intro. intros zenon_Haf zenon_Hfb zenon_H67 zenon_H118 zenon_H119 zenon_H11a zenon_H130 zenon_H194 zenon_H195 zenon_H193 zenon_H174 zenon_H175 zenon_H176 zenon_H94 zenon_H3. % 0.67/0.93 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.67/0.93 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.67/0.93 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.67/0.93 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He6 | zenon_intro zenon_Hfe ]. % 0.67/0.93 apply (zenon_L71_); trivial. % 0.67/0.93 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H4 ]. % 0.67/0.93 apply (zenon_L131_); trivial. % 0.67/0.93 exact (zenon_H3 zenon_H4). % 0.67/0.93 (* end of lemma zenon_L132_ *) % 0.67/0.93 assert (zenon_L133_ : ((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(hskp1))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(c3_1 (a236))) -> (c0_1 (a236)) -> (~(c2_1 (a236))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> (~(hskp1)) -> (~(hskp19)) -> ((forall X94 : zenon_U, ((ndr1_0)->((c1_1 X94)\/((~(c0_1 X94))\/(~(c3_1 X94))))))\/((hskp1)\/(hskp19))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> False). % 0.67/0.93 do 0 intro. intros zenon_H144 zenon_H145 zenon_Hfb zenon_H174 zenon_H175 zenon_H176 zenon_H194 zenon_H195 zenon_H193 zenon_H94 zenon_H118 zenon_H119 zenon_H11a zenon_H3 zenon_H67 zenon_H130 zenon_H13e zenon_H140. % 0.67/0.93 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.67/0.93 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.67/0.93 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.67/0.93 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.67/0.93 apply (zenon_L75_); trivial. % 0.67/0.93 apply (zenon_L132_); trivial. % 0.67/0.93 (* end of lemma zenon_L133_ *) % 0.67/0.93 assert (zenon_L134_ : ((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(hskp1))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(c3_1 (a236))) -> (c0_1 (a236)) -> (~(c2_1 (a236))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> (~(hskp1)) -> ((forall X94 : zenon_U, ((ndr1_0)->((c1_1 X94)\/((~(c0_1 X94))\/(~(c3_1 X94))))))\/((hskp1)\/(hskp19))) -> (~(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp19)) -> ((hskp25)\/(hskp19)) -> False). % 0.67/0.93 do 0 intro. intros zenon_H1bb zenon_Hc1 zenon_H148 zenon_H145 zenon_Hfb zenon_H174 zenon_H175 zenon_H176 zenon_H194 zenon_H195 zenon_H193 zenon_H94 zenon_H13e zenon_H140 zenon_H149 zenon_H118 zenon_H119 zenon_H11a zenon_H3 zenon_H130 zenon_Had zenon_H1d4 zenon_H67 zenon_H69. % 0.67/0.93 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Ha. zenon_intro zenon_H1bd. % 0.67/0.93 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H1aa. zenon_intro zenon_H1be. % 0.67/0.93 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 0.67/0.93 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H6a | zenon_intro zenon_Hc5 ]. % 0.67/0.93 apply (zenon_L27_); trivial. % 0.67/0.93 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc6. % 0.67/0.93 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7a. zenon_intro zenon_Hc7. % 0.67/0.93 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 0.67/0.93 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.67/0.93 apply (zenon_L129_); trivial. % 0.67/0.93 apply (zenon_L133_); trivial. % 0.67/0.93 (* end of lemma zenon_L134_ *) % 0.67/0.93 assert (zenon_L135_ : ((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp1))) -> (c0_1 (a236)) -> (~(c3_1 (a236))) -> (~(c2_1 (a236))) -> (~(hskp1)) -> False). % 0.67/0.93 do 0 intro. intros zenon_Hd5 zenon_H1c2 zenon_H195 zenon_H194 zenon_H193 zenon_H3. % 0.67/0.93 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha. zenon_intro zenon_Hd7. % 0.67/0.93 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 0.67/0.93 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.67/0.93 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H1c3 ]. % 0.67/0.93 apply (zenon_L47_); trivial. % 0.67/0.93 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H173 | zenon_intro zenon_H4 ]. % 0.67/0.93 apply (zenon_L102_); trivial. % 0.67/0.93 exact (zenon_H3 zenon_H4). % 0.67/0.93 (* end of lemma zenon_L135_ *) % 0.67/0.93 assert (zenon_L136_ : ((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a236))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(hskp1))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> ((forall X94 : zenon_U, ((ndr1_0)->((c1_1 X94)\/((~(c0_1 X94))\/(~(c3_1 X94))))))\/((hskp1)\/(hskp19))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp1))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (~(hskp4)) -> ((hskp20)\/((hskp23)\/(hskp4))) -> ((hskp25)\/(hskp19)) -> (~(hskp9)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((hskp20)\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> ((hskp18)\/((hskp27)\/(hskp17))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H63 zenon_H1de zenon_H148 zenon_Hfb zenon_H149 zenon_H118 zenon_H119 zenon_H11a zenon_H130 zenon_H1d4 zenon_H1df zenon_H14b zenon_H140 zenon_H13e zenon_H1c2 zenon_H1c0 zenon_H1bc zenon_Hd3 zenon_H1a5 zenon_H69 zenon_Had zenon_Hb1 zenon_Hc1 zenon_H171 zenon_H3 zenon_H1a1 zenon_H174 zenon_H175 zenon_H176 zenon_H94 zenon_H145 zenon_H1c1 zenon_H1c7 zenon_H53. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H64. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H59. zenon_intro zenon_H65. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H16f | zenon_intro zenon_H19c ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H16d | zenon_intro zenon_H190 ]. % 0.76/0.93 apply (zenon_L94_); trivial. % 0.76/0.93 apply (zenon_L107_); trivial. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_Ha. zenon_intro zenon_H1e1. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_H1b3. zenon_intro zenon_H1e2. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H1b4. zenon_intro zenon_H1b2. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.76/0.93 apply (zenon_L117_); trivial. % 0.76/0.93 apply (zenon_L118_); trivial. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.76/0.93 apply (zenon_L120_); trivial. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_Ha. zenon_intro zenon_H1e1. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_H1b3. zenon_intro zenon_H1e2. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H1b4. zenon_intro zenon_H1b2. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.76/0.93 apply (zenon_L125_); trivial. % 0.76/0.93 apply (zenon_L118_); trivial. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Ha. zenon_intro zenon_H19d. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H195. zenon_intro zenon_H19e. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H193. zenon_intro zenon_H194. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H16d | zenon_intro zenon_H190 ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1bb ]. % 0.76/0.93 apply (zenon_L109_); trivial. % 0.76/0.93 apply (zenon_L134_); trivial. % 0.76/0.93 apply (zenon_L116_); trivial. % 0.76/0.93 apply (zenon_L135_); trivial. % 0.76/0.93 (* end of lemma zenon_L136_ *) % 0.76/0.93 assert (zenon_L137_ : (forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (ndr1_0) -> (~(c3_1 (a220))) -> (c0_1 (a220)) -> (c1_1 (a220)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H82 zenon_Ha zenon_H100 zenon_H1e3 zenon_H101. % 0.76/0.93 generalize (zenon_H82 (a220)). zenon_intro zenon_H1e4. % 0.76/0.93 apply (zenon_imply_s _ _ zenon_H1e4); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e5 ]. % 0.76/0.93 exact (zenon_H9 zenon_Ha). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H106 | zenon_intro zenon_H1e6 ]. % 0.76/0.93 exact (zenon_H100 zenon_H106). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H108 ]. % 0.76/0.93 exact (zenon_H1e7 zenon_H1e3). % 0.76/0.93 exact (zenon_H108 zenon_H101). % 0.76/0.93 (* end of lemma zenon_L137_ *) % 0.76/0.93 assert (zenon_L138_ : (forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28)))))) -> (ndr1_0) -> (forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H20 zenon_Ha zenon_H82 zenon_H100 zenon_H101 zenon_H102. % 0.76/0.93 generalize (zenon_H20 (a220)). zenon_intro zenon_H1e8. % 0.76/0.93 apply (zenon_imply_s _ _ zenon_H1e8); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e9 ]. % 0.76/0.93 exact (zenon_H9 zenon_Ha). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H105 ]. % 0.76/0.93 apply (zenon_L137_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H108 | zenon_intro zenon_H107 ]. % 0.76/0.93 exact (zenon_H108 zenon_H101). % 0.76/0.93 exact (zenon_H107 zenon_H102). % 0.76/0.93 (* end of lemma zenon_L138_ *) % 0.76/0.93 assert (zenon_L139_ : ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28)))))) -> (ndr1_0) -> (c1_1 (a261)) -> (c2_1 (a261)) -> (c3_1 (a261)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H94 zenon_H176 zenon_H175 zenon_H174 zenon_H102 zenon_H101 zenon_H100 zenon_H20 zenon_Ha zenon_H9f zenon_H9d zenon_H9e. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H30 | zenon_intro zenon_H95 ]. % 0.76/0.93 apply (zenon_L97_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H82 | zenon_intro zenon_H8d ]. % 0.76/0.93 apply (zenon_L138_); trivial. % 0.76/0.93 apply (zenon_L76_); trivial. % 0.76/0.93 (* end of lemma zenon_L139_ *) % 0.76/0.93 assert (zenon_L140_ : ((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((hskp16)\/(hskp7))) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp16)) -> (~(hskp7)) -> False). % 0.76/0.93 do 0 intro. intros zenon_Haf zenon_H1ea zenon_H100 zenon_H101 zenon_H102 zenon_H174 zenon_H175 zenon_H176 zenon_H94 zenon_H1d zenon_H15. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H20 | zenon_intro zenon_H1eb ]. % 0.76/0.93 apply (zenon_L139_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H1e | zenon_intro zenon_H16 ]. % 0.76/0.93 exact (zenon_H1d zenon_H1e). % 0.76/0.93 exact (zenon_H15 zenon_H16). % 0.76/0.93 (* end of lemma zenon_L140_ *) % 0.76/0.93 assert (zenon_L141_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((hskp16)\/(hskp7))) -> (~(hskp7)) -> (~(hskp16)) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp18)) -> (~(hskp17)) -> ((hskp18)\/((hskp27)\/(hskp17))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H145 zenon_H1ea zenon_H15 zenon_H1d zenon_H174 zenon_H175 zenon_H176 zenon_H100 zenon_H101 zenon_H102 zenon_H94 zenon_H19f zenon_H2c zenon_H1a1. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.93 apply (zenon_L106_); trivial. % 0.76/0.93 apply (zenon_L140_); trivial. % 0.76/0.93 (* end of lemma zenon_L141_ *) % 0.76/0.93 assert (zenon_L142_ : ((forall X94 : zenon_U, ((ndr1_0)->((c1_1 X94)\/((~(c0_1 X94))\/(~(c3_1 X94))))))\/((hskp16)\/(hskp4))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2)))))) -> (~(c1_1 (a218))) -> (ndr1_0) -> (~(hskp16)) -> (~(hskp4)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H1ec zenon_H11a zenon_H119 zenon_He6 zenon_H118 zenon_Ha zenon_H1d zenon_Hd3. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H12c | zenon_intro zenon_H1ed ]. % 0.76/0.93 apply (zenon_L70_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1e | zenon_intro zenon_Hd4 ]. % 0.76/0.93 exact (zenon_H1d zenon_H1e). % 0.76/0.93 exact (zenon_Hd3 zenon_Hd4). % 0.76/0.93 (* end of lemma zenon_L142_ *) % 0.76/0.93 assert (zenon_L143_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (~(hskp4)) -> (~(hskp16)) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> ((forall X94 : zenon_U, ((ndr1_0)->((c1_1 X94)\/((~(c0_1 X94))\/(~(c3_1 X94))))))\/((hskp16)\/(hskp4))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (ndr1_0) -> (~(hskp26)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H149 zenon_Hd3 zenon_H1d zenon_H118 zenon_H119 zenon_H11a zenon_H1ec zenon_H102 zenon_H101 zenon_H100 zenon_Ha zenon_H132. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ]. % 0.76/0.93 apply (zenon_L142_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hff | zenon_intro zenon_H133 ]. % 0.76/0.93 apply (zenon_L55_); trivial. % 0.76/0.93 exact (zenon_H132 zenon_H133). % 0.76/0.93 (* end of lemma zenon_L143_ *) % 0.76/0.93 assert (zenon_L144_ : (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37)))))) -> (ndr1_0) -> (forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H1a7 zenon_Ha zenon_H82 zenon_H100 zenon_H101. % 0.76/0.93 generalize (zenon_H1a7 (a220)). zenon_intro zenon_H1ee. % 0.76/0.93 apply (zenon_imply_s _ _ zenon_H1ee); [ zenon_intro zenon_H9 | zenon_intro zenon_H1ef ]. % 0.76/0.93 exact (zenon_H9 zenon_Ha). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H1f0 ]. % 0.76/0.93 apply (zenon_L137_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H106 | zenon_intro zenon_H108 ]. % 0.76/0.93 exact (zenon_H100 zenon_H106). % 0.76/0.93 exact (zenon_H108 zenon_H101). % 0.76/0.93 (* end of lemma zenon_L144_ *) % 0.76/0.93 assert (zenon_L145_ : ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37)))))) -> (ndr1_0) -> (c1_1 (a261)) -> (c2_1 (a261)) -> (c3_1 (a261)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H94 zenon_H176 zenon_H175 zenon_H174 zenon_H101 zenon_H100 zenon_H1a7 zenon_Ha zenon_H9f zenon_H9d zenon_H9e. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H30 | zenon_intro zenon_H95 ]. % 0.76/0.93 apply (zenon_L97_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H82 | zenon_intro zenon_H8d ]. % 0.76/0.93 apply (zenon_L144_); trivial. % 0.76/0.93 apply (zenon_L76_); trivial. % 0.76/0.93 (* end of lemma zenon_L145_ *) % 0.76/0.93 assert (zenon_L146_ : ((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a252)) -> (c0_1 (a252)) -> (~(c1_1 (a252))) -> (~(hskp11)) -> False). % 0.76/0.93 do 0 intro. intros zenon_Haf zenon_H1bc zenon_H100 zenon_H101 zenon_H174 zenon_H175 zenon_H176 zenon_H94 zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_H16f. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1bf ]. % 0.76/0.93 apply (zenon_L145_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H170 ]. % 0.76/0.93 apply (zenon_L111_); trivial. % 0.76/0.93 exact (zenon_H16f zenon_H170). % 0.76/0.93 (* end of lemma zenon_L146_ *) % 0.76/0.93 assert (zenon_L147_ : ((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (~(hskp11)) -> (c2_1 (a252)) -> (c0_1 (a252)) -> (~(c1_1 (a252))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H144 zenon_H145 zenon_H1bc zenon_H16f zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_H174 zenon_H175 zenon_H176 zenon_H100 zenon_H101 zenon_H94 zenon_H13e zenon_H140. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.93 apply (zenon_L75_); trivial. % 0.76/0.93 apply (zenon_L146_); trivial. % 0.76/0.93 (* end of lemma zenon_L147_ *) % 0.76/0.93 assert (zenon_L148_ : ((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((forall X94 : zenon_U, ((ndr1_0)->((c1_1 X94)\/((~(c0_1 X94))\/(~(c3_1 X94))))))\/((hskp16)\/(hskp4))) -> (~(hskp4)) -> (~(hskp16)) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H1e0 zenon_H148 zenon_H145 zenon_H1bc zenon_H16f zenon_H174 zenon_H175 zenon_H176 zenon_H94 zenon_H13e zenon_H140 zenon_H1ec zenon_Hd3 zenon_H1d zenon_H11a zenon_H119 zenon_H118 zenon_H100 zenon_H101 zenon_H102 zenon_H149. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_Ha. zenon_intro zenon_H1e1. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_H1b3. zenon_intro zenon_H1e2. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H1b4. zenon_intro zenon_H1b2. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.93 apply (zenon_L143_); trivial. % 0.76/0.93 apply (zenon_L147_); trivial. % 0.76/0.93 (* end of lemma zenon_L148_ *) % 0.76/0.93 assert (zenon_L149_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((forall X94 : zenon_U, ((ndr1_0)->((c1_1 X94)\/((~(c0_1 X94))\/(~(c3_1 X94))))))\/((hskp16)\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> (~(hskp17)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (~(hskp16)) -> (~(hskp7)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((hskp16)\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H1df zenon_H148 zenon_H1bc zenon_H16f zenon_H13e zenon_H140 zenon_H1ec zenon_Hd3 zenon_H11a zenon_H119 zenon_H118 zenon_H149 zenon_H1a1 zenon_H2c zenon_H94 zenon_H102 zenon_H101 zenon_H100 zenon_H176 zenon_H175 zenon_H174 zenon_H1d zenon_H15 zenon_H1ea zenon_H145. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.76/0.93 apply (zenon_L141_); trivial. % 0.76/0.93 apply (zenon_L148_); trivial. % 0.76/0.93 (* end of lemma zenon_L149_ *) % 0.76/0.93 assert (zenon_L150_ : ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp10))) -> (~(hskp2)) -> (~(hskp27)) -> (c1_1 (a248)) -> (c3_1 (a248)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H1f1 zenon_H13e zenon_H74 zenon_H33 zenon_H4f zenon_H140 zenon_H11a zenon_H119 zenon_H118 zenon_Ha zenon_H2a. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H57 | zenon_intro zenon_H1f2 ]. % 0.76/0.93 apply (zenon_L122_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H117 | zenon_intro zenon_H2b ]. % 0.76/0.93 apply (zenon_L64_); trivial. % 0.76/0.93 exact (zenon_H2a zenon_H2b). % 0.76/0.93 (* end of lemma zenon_L150_ *) % 0.76/0.93 assert (zenon_L151_ : ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp10))) -> (c1_1 (a261)) -> (c3_1 (a261)) -> (c2_1 (a261)) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H1f1 zenon_H9f zenon_H9e zenon_H9d zenon_H9c zenon_H11a zenon_H119 zenon_H118 zenon_Ha zenon_H2a. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H57 | zenon_intro zenon_H1f2 ]. % 0.76/0.93 apply (zenon_L41_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H117 | zenon_intro zenon_H2b ]. % 0.76/0.93 apply (zenon_L64_); trivial. % 0.76/0.93 exact (zenon_H2a zenon_H2b). % 0.76/0.93 (* end of lemma zenon_L151_ *) % 0.76/0.93 assert (zenon_L152_ : ((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> (~(c3_1 (a255))) -> (~(c1_1 (a255))) -> (~(c0_1 (a255))) -> (~(hskp10)) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp10))) -> (~(hskp2)) -> False). % 0.76/0.93 do 0 intro. intros zenon_Haf zenon_H165 zenon_Hcc zenon_Hcb zenon_Hca zenon_H2a zenon_H118 zenon_H119 zenon_H11a zenon_H1f1 zenon_H13e. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H168 ]. % 0.76/0.93 apply (zenon_L47_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9c | zenon_intro zenon_H13f ]. % 0.76/0.93 apply (zenon_L151_); trivial. % 0.76/0.93 exact (zenon_H13e zenon_H13f). % 0.76/0.93 (* end of lemma zenon_L152_ *) % 0.76/0.93 assert (zenon_L153_ : ((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a248)) -> (c1_1 (a248)) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> (~(hskp10)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp10))) -> False). % 0.76/0.93 do 0 intro. intros zenon_Hd5 zenon_H145 zenon_H165 zenon_H140 zenon_H13e zenon_H4f zenon_H33 zenon_H118 zenon_H119 zenon_H11a zenon_H2a zenon_H1f1. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha. zenon_intro zenon_Hd7. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.93 apply (zenon_L150_); trivial. % 0.76/0.93 apply (zenon_L152_); trivial. % 0.76/0.93 (* end of lemma zenon_L153_ *) % 0.76/0.93 assert (zenon_L154_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> (~(hskp18)) -> (~(hskp17)) -> ((hskp18)\/((hskp27)\/(hskp17))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H145 zenon_H10a zenon_H102 zenon_H101 zenon_H100 zenon_H43 zenon_H42 zenon_H41 zenon_H19f zenon_H2c zenon_H1a1. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.93 apply (zenon_L106_); trivial. % 0.76/0.93 apply (zenon_L77_); trivial. % 0.76/0.93 (* end of lemma zenon_L154_ *) % 0.76/0.93 assert (zenon_L155_ : ((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> (~(hskp10)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp10))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H4a zenon_H145 zenon_H10a zenon_H102 zenon_H101 zenon_H100 zenon_H43 zenon_H42 zenon_H41 zenon_H140 zenon_H13e zenon_H118 zenon_H119 zenon_H11a zenon_H2a zenon_H1f1. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.93 apply (zenon_L150_); trivial. % 0.76/0.93 apply (zenon_L77_); trivial. % 0.76/0.93 (* end of lemma zenon_L155_ *) % 0.76/0.93 assert (zenon_L156_ : ((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> (~(hskp10)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((forall X94 : zenon_U, ((ndr1_0)->((c1_1 X94)\/((~(c0_1 X94))\/(~(c3_1 X94))))))\/((hskp1)\/(hskp19))) -> (~(hskp1)) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp20)\/((hskp23)\/(hskp4))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp1))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H54 zenon_H53 zenon_H2a zenon_H1f1 zenon_H145 zenon_H10a zenon_H102 zenon_H101 zenon_H100 zenon_H1a1 zenon_H148 zenon_H13e zenon_H140 zenon_H130 zenon_H3 zenon_H11a zenon_H119 zenon_H118 zenon_H149 zenon_H1c0 zenon_H1bc zenon_H16f zenon_Hd3 zenon_H1a5 zenon_H1c2 zenon_H174 zenon_H175 zenon_H176 zenon_H94 zenon_H1c1 zenon_H14b zenon_H1df. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.76/0.93 apply (zenon_L154_); trivial. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_Ha. zenon_intro zenon_H1e1. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_H1b3. zenon_intro zenon_H1e2. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H1b4. zenon_intro zenon_H1b2. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.76/0.93 apply (zenon_L79_); trivial. % 0.76/0.93 apply (zenon_L118_); trivial. % 0.76/0.93 apply (zenon_L155_); trivial. % 0.76/0.93 (* end of lemma zenon_L156_ *) % 0.76/0.93 assert (zenon_L157_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp1))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (ndr1_0) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> (~(hskp16)) -> (~(hskp4)) -> ((forall X94 : zenon_U, ((ndr1_0)->((c1_1 X94)\/((~(c0_1 X94))\/(~(c3_1 X94))))))\/((hskp16)\/(hskp4))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> ((forall X94 : zenon_U, ((ndr1_0)->((c1_1 X94)\/((~(c0_1 X94))\/(~(c3_1 X94))))))\/((hskp1)\/(hskp19))) -> (~(hskp1)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a236))) -> (c0_1 (a236)) -> (~(c3_1 (a236))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H14b zenon_H1c2 zenon_H149 zenon_H102 zenon_H101 zenon_H100 zenon_Ha zenon_H118 zenon_H119 zenon_H11a zenon_H1d zenon_Hd3 zenon_H1ec zenon_H140 zenon_H13e zenon_H130 zenon_H3 zenon_H94 zenon_H193 zenon_H195 zenon_H194 zenon_H176 zenon_H175 zenon_H174 zenon_Hfb zenon_H145 zenon_H148. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.93 apply (zenon_L143_); trivial. % 0.76/0.93 apply (zenon_L133_); trivial. % 0.76/0.93 apply (zenon_L135_); trivial. % 0.76/0.93 (* end of lemma zenon_L157_ *) % 0.76/0.93 assert (zenon_L158_ : ((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp1))) -> (c0_1 (a236)) -> (~(c3_1 (a236))) -> (~(c2_1 (a236))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> (~(hskp1)) -> ((forall X94 : zenon_U, ((ndr1_0)->((c1_1 X94)\/((~(c0_1 X94))\/(~(c3_1 X94))))))\/((hskp1)\/(hskp19))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H54 zenon_H14b zenon_H1c2 zenon_H195 zenon_H194 zenon_H193 zenon_H149 zenon_H102 zenon_H101 zenon_H100 zenon_H118 zenon_H119 zenon_H11a zenon_H3 zenon_H130 zenon_H140 zenon_H13e zenon_H10a zenon_H145 zenon_H148. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.76/0.93 apply (zenon_L79_); trivial. % 0.76/0.93 apply (zenon_L135_); trivial. % 0.76/0.93 (* end of lemma zenon_L158_ *) % 0.76/0.93 assert (zenon_L159_ : ((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((forall X94 : zenon_U, ((ndr1_0)->((c1_1 X94)\/((~(c0_1 X94))\/(~(c3_1 X94))))))\/((hskp16)\/(hskp4))) -> (~(hskp4)) -> (~(hskp16)) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (~(c0_1 (a231))) -> (c1_1 (a231)) -> (c3_1 (a231)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H4a zenon_H1df zenon_H148 zenon_H145 zenon_H1bc zenon_H16f zenon_H174 zenon_H175 zenon_H176 zenon_H94 zenon_H13e zenon_H140 zenon_H1ec zenon_Hd3 zenon_H1d zenon_H11a zenon_H119 zenon_H118 zenon_H100 zenon_H101 zenon_H102 zenon_H149 zenon_H58 zenon_H59 zenon_H5a zenon_H1c7. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.76/0.93 apply (zenon_L120_); trivial. % 0.76/0.93 apply (zenon_L148_); trivial. % 0.76/0.93 (* end of lemma zenon_L159_ *) % 0.76/0.93 assert (zenon_L160_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> (~(c0_1 (a231))) -> (c1_1 (a231)) -> (c3_1 (a231)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((hskp16)\/(hskp7))) -> (~(hskp7)) -> (~(hskp16)) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> (~(hskp4)) -> ((forall X94 : zenon_U, ((ndr1_0)->((c1_1 X94)\/((~(c0_1 X94))\/(~(c3_1 X94))))))\/((hskp16)\/(hskp4))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H53 zenon_H58 zenon_H59 zenon_H5a zenon_H1c7 zenon_H145 zenon_H1ea zenon_H15 zenon_H1d zenon_H174 zenon_H175 zenon_H176 zenon_H100 zenon_H101 zenon_H102 zenon_H94 zenon_H1a1 zenon_H149 zenon_H118 zenon_H119 zenon_H11a zenon_Hd3 zenon_H1ec zenon_H140 zenon_H13e zenon_H16f zenon_H1bc zenon_H148 zenon_H1df. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.76/0.93 apply (zenon_L149_); trivial. % 0.76/0.93 apply (zenon_L159_); trivial. % 0.76/0.93 (* end of lemma zenon_L160_ *) % 0.76/0.93 assert (zenon_L161_ : (forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (c1_1 (a231)) -> (c2_1 (a231)) -> (c3_1 (a231)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H8d zenon_Ha zenon_H59 zenon_H1f3 zenon_H5a. % 0.76/0.93 generalize (zenon_H8d (a231)). zenon_intro zenon_H1f4. % 0.76/0.93 apply (zenon_imply_s _ _ zenon_H1f4); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f5 ]. % 0.76/0.93 exact (zenon_H9 zenon_Ha). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H60 | zenon_intro zenon_H1f6 ]. % 0.76/0.93 exact (zenon_H60 zenon_H59). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H5f ]. % 0.76/0.93 exact (zenon_H1f7 zenon_H1f3). % 0.76/0.93 exact (zenon_H5f zenon_H5a). % 0.76/0.93 (* end of lemma zenon_L161_ *) % 0.76/0.93 assert (zenon_L162_ : (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2)))))) -> (ndr1_0) -> (~(c0_1 (a231))) -> (forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (c1_1 (a231)) -> (c3_1 (a231)) -> False). % 0.76/0.93 do 0 intro. intros zenon_He6 zenon_Ha zenon_H58 zenon_H8d zenon_H59 zenon_H5a. % 0.76/0.93 generalize (zenon_He6 (a231)). zenon_intro zenon_H1f8. % 0.76/0.93 apply (zenon_imply_s _ _ zenon_H1f8); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f9 ]. % 0.76/0.93 exact (zenon_H9 zenon_Ha). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H5e | zenon_intro zenon_H1fa ]. % 0.76/0.93 exact (zenon_H58 zenon_H5e). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1fa); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H5f ]. % 0.76/0.93 apply (zenon_L161_); trivial. % 0.76/0.93 exact (zenon_H5f zenon_H5a). % 0.76/0.93 (* end of lemma zenon_L162_ *) % 0.76/0.93 assert (zenon_L163_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (~(c0_1 (a231))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (ndr1_0) -> (~(hskp26)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H149 zenon_H5a zenon_H59 zenon_H8d zenon_H58 zenon_H102 zenon_H101 zenon_H100 zenon_Ha zenon_H132. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ]. % 0.76/0.93 apply (zenon_L162_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hff | zenon_intro zenon_H133 ]. % 0.76/0.93 apply (zenon_L55_); trivial. % 0.76/0.93 exact (zenon_H132 zenon_H133). % 0.76/0.93 (* end of lemma zenon_L163_ *) % 0.76/0.93 assert (zenon_L164_ : ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (~(c0_1 (a231))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (ndr1_0) -> (~(hskp26)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H10a zenon_H43 zenon_H42 zenon_H41 zenon_H149 zenon_H5a zenon_H59 zenon_H58 zenon_H102 zenon_H101 zenon_H100 zenon_Ha zenon_H132. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_H40 | zenon_intro zenon_H10b ]. % 0.76/0.93 apply (zenon_L19_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hff | zenon_intro zenon_H8d ]. % 0.76/0.93 apply (zenon_L55_); trivial. % 0.76/0.93 apply (zenon_L163_); trivial. % 0.76/0.93 (* end of lemma zenon_L164_ *) % 0.76/0.93 assert (zenon_L165_ : ((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (~(c0_1 (a231))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H54 zenon_H148 zenon_H145 zenon_H13e zenon_H140 zenon_H100 zenon_H101 zenon_H102 zenon_H149 zenon_H5a zenon_H59 zenon_H58 zenon_H10a. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.93 apply (zenon_L164_); trivial. % 0.76/0.93 apply (zenon_L78_); trivial. % 0.76/0.93 (* end of lemma zenon_L165_ *) % 0.76/0.93 assert (zenon_L166_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((forall X94 : zenon_U, ((ndr1_0)->((c1_1 X94)\/((~(c0_1 X94))\/(~(c3_1 X94))))))\/((hskp16)\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (~(hskp7)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((hskp16)\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (~(c0_1 (a231))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H52 zenon_H10a zenon_H1df zenon_H148 zenon_H1bc zenon_H16f zenon_H13e zenon_H140 zenon_H1ec zenon_Hd3 zenon_H11a zenon_H119 zenon_H118 zenon_H149 zenon_H1a1 zenon_H94 zenon_H102 zenon_H101 zenon_H100 zenon_H176 zenon_H175 zenon_H174 zenon_H15 zenon_H1ea zenon_H145 zenon_H1c7 zenon_H5a zenon_H59 zenon_H58 zenon_H53. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.76/0.93 apply (zenon_L160_); trivial. % 0.76/0.93 apply (zenon_L165_); trivial. % 0.76/0.93 (* end of lemma zenon_L166_ *) % 0.76/0.93 assert (zenon_L167_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(hskp1))) -> (~(hskp4)) -> (~(hskp16)) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> ((forall X94 : zenon_U, ((ndr1_0)->((c1_1 X94)\/((~(c0_1 X94))\/(~(c3_1 X94))))))\/((hskp16)\/(hskp4))) -> (c0_1 (a226)) -> (~(c2_1 (a226))) -> (~(c1_1 (a226))) -> (ndr1_0) -> (~(hskp1)) -> False). % 0.76/0.93 do 0 intro. intros zenon_Hfb zenon_Hd3 zenon_H1d zenon_H118 zenon_H119 zenon_H11a zenon_H1ec zenon_Hf3 zenon_Hf2 zenon_Hf1 zenon_Ha zenon_H3. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He6 | zenon_intro zenon_Hfe ]. % 0.76/0.93 apply (zenon_L142_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H4 ]. % 0.76/0.93 apply (zenon_L53_); trivial. % 0.76/0.93 exact (zenon_H3 zenon_H4). % 0.76/0.93 (* end of lemma zenon_L167_ *) % 0.76/0.93 assert (zenon_L168_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(hskp1))) -> (~(hskp19)) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> ((forall X94 : zenon_U, ((ndr1_0)->((c1_1 X94)\/((~(c0_1 X94))\/(~(c3_1 X94))))))\/((hskp1)\/(hskp19))) -> (c0_1 (a226)) -> (~(c2_1 (a226))) -> (~(c1_1 (a226))) -> (ndr1_0) -> (~(hskp1)) -> False). % 0.76/0.93 do 0 intro. intros zenon_Hfb zenon_H67 zenon_H118 zenon_H119 zenon_H11a zenon_H130 zenon_Hf3 zenon_Hf2 zenon_Hf1 zenon_Ha zenon_H3. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He6 | zenon_intro zenon_Hfe ]. % 0.76/0.93 apply (zenon_L71_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H4 ]. % 0.76/0.93 apply (zenon_L53_); trivial. % 0.76/0.93 exact (zenon_H3 zenon_H4). % 0.76/0.93 (* end of lemma zenon_L168_ *) % 0.76/0.93 assert (zenon_L169_ : ((ndr1_0)/\((c0_1 (a236))/\((~(c2_1 (a236)))/\(~(c3_1 (a236)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp1))) -> ((forall X94 : zenon_U, ((ndr1_0)->((c1_1 X94)\/((~(c0_1 X94))\/(~(c3_1 X94))))))\/((hskp1)\/(hskp19))) -> (~(hskp1)) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> (~(c1_1 (a226))) -> (~(c2_1 (a226))) -> (c0_1 (a226)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(hskp1))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H19c zenon_H14b zenon_H1c2 zenon_H130 zenon_H3 zenon_H11a zenon_H119 zenon_H118 zenon_Hf1 zenon_Hf2 zenon_Hf3 zenon_Hfb. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Ha. zenon_intro zenon_H19d. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H195. zenon_intro zenon_H19e. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H193. zenon_intro zenon_H194. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.76/0.93 apply (zenon_L168_); trivial. % 0.76/0.93 apply (zenon_L135_); trivial. % 0.76/0.93 (* end of lemma zenon_L169_ *) % 0.76/0.93 assert (zenon_L170_ : (~(hskp13)) -> (hskp13) -> False). % 0.76/0.93 do 0 intro. intros zenon_H1fb zenon_H1fc. % 0.76/0.93 exact (zenon_H1fb zenon_H1fc). % 0.76/0.93 (* end of lemma zenon_L170_ *) % 0.76/0.93 assert (zenon_L171_ : ((hskp12)\/((hskp16)\/(hskp13))) -> (~(hskp12)) -> (~(hskp16)) -> (~(hskp13)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H1fd zenon_H1 zenon_H1d zenon_H1fb. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H2 | zenon_intro zenon_H1fe ]. % 0.76/0.93 exact (zenon_H1 zenon_H2). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1e | zenon_intro zenon_H1fc ]. % 0.76/0.93 exact (zenon_H1d zenon_H1e). % 0.76/0.93 exact (zenon_H1fb zenon_H1fc). % 0.76/0.93 (* end of lemma zenon_L171_ *) % 0.76/0.93 assert (zenon_L172_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (c3_1 (a225)) -> (~(c2_1 (a225))) -> (~(c0_1 (a225))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (ndr1_0) -> (~(hskp26)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H149 zenon_He9 zenon_He8 zenon_He7 zenon_H102 zenon_H101 zenon_H100 zenon_Ha zenon_H132. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ]. % 0.76/0.93 apply (zenon_L52_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hff | zenon_intro zenon_H133 ]. % 0.76/0.93 apply (zenon_L55_); trivial. % 0.76/0.93 exact (zenon_H132 zenon_H133). % 0.76/0.93 (* end of lemma zenon_L172_ *) % 0.76/0.93 assert (zenon_L173_ : ((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(c0_1 (a225))) -> (~(c2_1 (a225))) -> (c3_1 (a225)) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H54 zenon_H148 zenon_H145 zenon_H10a zenon_H13e zenon_H140 zenon_He7 zenon_He8 zenon_He9 zenon_H100 zenon_H101 zenon_H102 zenon_H149. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.93 apply (zenon_L172_); trivial. % 0.76/0.93 apply (zenon_L78_); trivial. % 0.76/0.93 (* end of lemma zenon_L173_ *) % 0.76/0.93 assert (zenon_L174_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(c0_1 (a225))) -> (~(c2_1 (a225))) -> (c3_1 (a225)) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (~(hskp12)) -> (~(hskp13)) -> ((hskp12)\/((hskp16)\/(hskp13))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H52 zenon_H148 zenon_H145 zenon_H10a zenon_H13e zenon_H140 zenon_He7 zenon_He8 zenon_He9 zenon_H100 zenon_H101 zenon_H102 zenon_H149 zenon_H1 zenon_H1fb zenon_H1fd. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.76/0.93 apply (zenon_L171_); trivial. % 0.76/0.93 apply (zenon_L173_); trivial. % 0.76/0.93 (* end of lemma zenon_L174_ *) % 0.76/0.93 assert (zenon_L175_ : (forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60)))))) -> (ndr1_0) -> (~(c1_1 (a239))) -> (c2_1 (a239)) -> (c3_1 (a239)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H8c zenon_Ha zenon_H1ff zenon_H200 zenon_H201. % 0.76/0.93 generalize (zenon_H8c (a239)). zenon_intro zenon_H202. % 0.76/0.93 apply (zenon_imply_s _ _ zenon_H202); [ zenon_intro zenon_H9 | zenon_intro zenon_H203 ]. % 0.76/0.93 exact (zenon_H9 zenon_Ha). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H205 | zenon_intro zenon_H204 ]. % 0.76/0.93 exact (zenon_H1ff zenon_H205). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H207 | zenon_intro zenon_H206 ]. % 0.76/0.93 exact (zenon_H207 zenon_H200). % 0.76/0.93 exact (zenon_H206 zenon_H201). % 0.76/0.93 (* end of lemma zenon_L175_ *) % 0.76/0.93 assert (zenon_L176_ : ((ndr1_0)/\((c2_1 (a239))/\((c3_1 (a239))/\(~(c1_1 (a239)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (~(c0_1 (a231))) -> (~(hskp9)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H208 zenon_Hb1 zenon_H5a zenon_H59 zenon_H58 zenon_Had. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_Ha. zenon_intro zenon_H209. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H200. zenon_intro zenon_H20a. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H20a). zenon_intro zenon_H201. zenon_intro zenon_H1ff. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H57 | zenon_intro zenon_Hb5 ]. % 0.76/0.93 apply (zenon_L22_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H8c | zenon_intro zenon_Hae ]. % 0.76/0.93 apply (zenon_L175_); trivial. % 0.76/0.93 exact (zenon_Had zenon_Hae). % 0.76/0.93 (* end of lemma zenon_L176_ *) % 0.76/0.93 assert (zenon_L177_ : (forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19)))))) -> (ndr1_0) -> (forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (~(c3_1 (a237))) -> (c0_1 (a237)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H40 zenon_Ha zenon_H82 zenon_Hc zenon_Hd. % 0.76/0.93 generalize (zenon_H40 (a237)). zenon_intro zenon_H20b. % 0.76/0.93 apply (zenon_imply_s _ _ zenon_H20b); [ zenon_intro zenon_H9 | zenon_intro zenon_H20c ]. % 0.76/0.93 exact (zenon_H9 zenon_Ha). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H83 | zenon_intro zenon_H20d ]. % 0.76/0.93 apply (zenon_L34_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H12 | zenon_intro zenon_H14 ]. % 0.76/0.93 exact (zenon_Hc zenon_H12). % 0.76/0.93 exact (zenon_H14 zenon_Hd). % 0.76/0.93 (* end of lemma zenon_L177_ *) % 0.76/0.93 assert (zenon_L178_ : ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (c0_1 (a237)) -> (~(c3_1 (a237))) -> (forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19)))))) -> (ndr1_0) -> (c1_1 (a261)) -> (c2_1 (a261)) -> (c3_1 (a261)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H94 zenon_H176 zenon_H175 zenon_H174 zenon_Hd zenon_Hc zenon_H40 zenon_Ha zenon_H9f zenon_H9d zenon_H9e. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H30 | zenon_intro zenon_H95 ]. % 0.76/0.93 apply (zenon_L97_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H82 | zenon_intro zenon_H8d ]. % 0.76/0.93 apply (zenon_L177_); trivial. % 0.76/0.93 apply (zenon_L76_); trivial. % 0.76/0.93 (* end of lemma zenon_L178_ *) % 0.76/0.93 assert (zenon_L179_ : (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> (c0_1 (a234)) -> (c2_1 (a234)) -> (c3_1 (a234)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H9c zenon_Ha zenon_H135 zenon_H20e zenon_H137. % 0.76/0.93 generalize (zenon_H9c (a234)). zenon_intro zenon_H20f. % 0.76/0.93 apply (zenon_imply_s _ _ zenon_H20f); [ zenon_intro zenon_H9 | zenon_intro zenon_H210 ]. % 0.76/0.93 exact (zenon_H9 zenon_Ha). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H13b | zenon_intro zenon_H211 ]. % 0.76/0.93 exact (zenon_H13b zenon_H135). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H212 | zenon_intro zenon_H13c ]. % 0.76/0.93 exact (zenon_H212 zenon_H20e). % 0.76/0.93 exact (zenon_H13c zenon_H137). % 0.76/0.93 (* end of lemma zenon_L179_ *) % 0.76/0.93 assert (zenon_L180_ : (forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (c0_1 (a234)) -> (c3_1 (a234)) -> (c1_1 (a234)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H1c4 zenon_Ha zenon_H9c zenon_H135 zenon_H137 zenon_H136. % 0.76/0.93 generalize (zenon_H1c4 (a234)). zenon_intro zenon_H213. % 0.76/0.93 apply (zenon_imply_s _ _ zenon_H213); [ zenon_intro zenon_H9 | zenon_intro zenon_H214 ]. % 0.76/0.93 exact (zenon_H9 zenon_Ha). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H20e | zenon_intro zenon_H13a ]. % 0.76/0.93 apply (zenon_L179_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H13d | zenon_intro zenon_H13c ]. % 0.76/0.93 exact (zenon_H13d zenon_H136). % 0.76/0.93 exact (zenon_H13c zenon_H137). % 0.76/0.93 (* end of lemma zenon_L180_ *) % 0.76/0.93 assert (zenon_L181_ : ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (~(c0_1 (a231))) -> (c1_1 (a234)) -> (c3_1 (a234)) -> (c0_1 (a234)) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> (~(hskp18)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H1c7 zenon_H5a zenon_H59 zenon_H58 zenon_H136 zenon_H137 zenon_H135 zenon_H9c zenon_Ha zenon_H19f. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c8 ]. % 0.76/0.93 apply (zenon_L22_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1a0 ]. % 0.76/0.93 apply (zenon_L180_); trivial. % 0.76/0.93 exact (zenon_H19f zenon_H1a0). % 0.76/0.93 (* end of lemma zenon_L181_ *) % 0.76/0.93 assert (zenon_L182_ : ((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(c0_1 (a225))) -> (~(c2_1 (a225))) -> (c3_1 (a225)) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H1e0 zenon_H148 zenon_H145 zenon_H1bc zenon_H16f zenon_H174 zenon_H175 zenon_H176 zenon_H94 zenon_H13e zenon_H140 zenon_He7 zenon_He8 zenon_He9 zenon_H100 zenon_H101 zenon_H102 zenon_H149. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_Ha. zenon_intro zenon_H1e1. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_H1b3. zenon_intro zenon_H1e2. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H1b4. zenon_intro zenon_H1b2. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.93 apply (zenon_L172_); trivial. % 0.76/0.93 apply (zenon_L147_); trivial. % 0.76/0.93 (* end of lemma zenon_L182_ *) % 0.76/0.93 assert (zenon_L183_ : ((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (c3_1 (a225)) -> (~(c2_1 (a225))) -> (~(c0_1 (a225))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (~(c0_1 (a231))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H113 zenon_H1df zenon_H1bc zenon_H16f zenon_H149 zenon_H102 zenon_H101 zenon_H100 zenon_He9 zenon_He8 zenon_He7 zenon_H140 zenon_H13e zenon_H94 zenon_H176 zenon_H175 zenon_H174 zenon_H1c7 zenon_H5a zenon_H59 zenon_H58 zenon_H215 zenon_H145 zenon_H148. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Ha. zenon_intro zenon_H114. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hd. zenon_intro zenon_H115. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.93 apply (zenon_L172_); trivial. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.93 apply (zenon_L75_); trivial. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.76/0.93 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H216 ]. % 0.76/0.93 apply (zenon_L145_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H40 | zenon_intro zenon_H9c ]. % 0.76/0.93 apply (zenon_L178_); trivial. % 0.76/0.93 apply (zenon_L181_); trivial. % 0.76/0.93 apply (zenon_L182_); trivial. % 0.76/0.93 (* end of lemma zenon_L183_ *) % 0.76/0.93 assert (zenon_L184_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> (c2_1 (a223)) -> (c1_1 (a223)) -> (~(c0_1 (a223))) -> (c0_1 (a236)) -> (~(c3_1 (a236))) -> (~(c2_1 (a236))) -> (ndr1_0) -> (~(hskp26)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H217 zenon_H23 zenon_H22 zenon_H21 zenon_H195 zenon_H194 zenon_H193 zenon_Ha zenon_H132. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H20 | zenon_intro zenon_H218 ]. % 0.76/0.93 apply (zenon_L13_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H173 | zenon_intro zenon_H133 ]. % 0.76/0.93 apply (zenon_L102_); trivial. % 0.76/0.93 exact (zenon_H132 zenon_H133). % 0.76/0.93 (* end of lemma zenon_L184_ *) % 0.76/0.93 assert (zenon_L185_ : ((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(c0_1 (a223))) -> (c1_1 (a223)) -> (c2_1 (a223)) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> (c0_1 (a236)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H54 zenon_H148 zenon_H145 zenon_H10a zenon_H102 zenon_H101 zenon_H100 zenon_H13e zenon_H140 zenon_H21 zenon_H22 zenon_H23 zenon_H193 zenon_H194 zenon_H195 zenon_H217. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.93 apply (zenon_L184_); trivial. % 0.76/0.93 apply (zenon_L78_); trivial. % 0.76/0.93 (* end of lemma zenon_L185_ *) % 0.76/0.93 assert (zenon_L186_ : ((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (~(c1_1 (a217))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(hskp2)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H190 zenon_H145 zenon_H94 zenon_H176 zenon_H175 zenon_H174 zenon_H14d zenon_H14e zenon_H14f zenon_H13e zenon_H156. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_Ha. zenon_intro zenon_H191. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H188. zenon_intro zenon_H192. % 0.76/0.93 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H189. zenon_intro zenon_H187. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.93 apply (zenon_L82_); trivial. % 0.76/0.93 apply (zenon_L100_); trivial. % 0.76/0.93 (* end of lemma zenon_L186_ *) % 0.76/0.93 assert (zenon_L187_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (~(c1_1 (a217))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(hskp2)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> (~(hskp11)) -> (~(hskp1)) -> ((hskp20)\/((hskp11)\/(hskp1))) -> False). % 0.76/0.93 do 0 intro. intros zenon_H1c1 zenon_H145 zenon_H94 zenon_H176 zenon_H175 zenon_H174 zenon_H14d zenon_H14e zenon_H14f zenon_H13e zenon_H156 zenon_H16f zenon_H3 zenon_H171. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H16d | zenon_intro zenon_H190 ]. % 0.76/0.93 apply (zenon_L94_); trivial. % 0.76/0.93 apply (zenon_L186_); trivial. % 0.76/0.93 (* end of lemma zenon_L187_ *) % 0.76/0.93 assert (zenon_L188_ : (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1)))))) -> (ndr1_0) -> (~(c0_1 (a215))) -> (~(c1_1 (a215))) -> (c2_1 (a215)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H219 zenon_Ha zenon_H21a zenon_H21b zenon_H21c. % 0.76/0.93 generalize (zenon_H219 (a215)). zenon_intro zenon_H21d. % 0.76/0.93 apply (zenon_imply_s _ _ zenon_H21d); [ zenon_intro zenon_H9 | zenon_intro zenon_H21e ]. % 0.76/0.93 exact (zenon_H9 zenon_Ha). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H220 | zenon_intro zenon_H21f ]. % 0.76/0.93 exact (zenon_H21a zenon_H220). % 0.76/0.93 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H222 | zenon_intro zenon_H221 ]. % 0.76/0.93 exact (zenon_H21b zenon_H222). % 0.76/0.93 exact (zenon_H221 zenon_H21c). % 0.76/0.93 (* end of lemma zenon_L188_ *) % 0.76/0.93 assert (zenon_L189_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((hskp3)\/(hskp6))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp6)) -> False). % 0.76/0.93 do 0 intro. intros zenon_H223 zenon_H21c zenon_H21b zenon_H21a zenon_Ha zenon_H1b zenon_H17. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H219 | zenon_intro zenon_H62 ]. % 0.76/0.93 apply (zenon_L188_); trivial. % 0.76/0.93 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H1c | zenon_intro zenon_H18 ]. % 0.76/0.94 exact (zenon_H1b zenon_H1c). % 0.76/0.94 exact (zenon_H17 zenon_H18). % 0.76/0.94 (* end of lemma zenon_L189_ *) % 0.76/0.94 assert (zenon_L190_ : ((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (c1_1 (a261)) -> (c2_1 (a261)) -> (c3_1 (a261)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H164 zenon_H224 zenon_H21c zenon_H21b zenon_H21a zenon_H9f zenon_H9d zenon_H9e. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Ha. zenon_intro zenon_H166. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H15b. zenon_intro zenon_H167. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H219 | zenon_intro zenon_H225 ]. % 0.76/0.94 apply (zenon_L188_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H9c | zenon_intro zenon_H8d ]. % 0.76/0.94 apply (zenon_L85_); trivial. % 0.76/0.94 apply (zenon_L76_); trivial. % 0.76/0.94 (* end of lemma zenon_L190_ *) % 0.76/0.94 assert (zenon_L191_ : ((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (~(hskp26)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> False). % 0.76/0.94 do 0 intro. intros zenon_Haf zenon_H169 zenon_H224 zenon_H21c zenon_H21b zenon_H21a zenon_H132 zenon_H159. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H157 | zenon_intro zenon_H164 ]. % 0.76/0.94 apply (zenon_L84_); trivial. % 0.76/0.94 apply (zenon_L190_); trivial. % 0.76/0.94 (* end of lemma zenon_L191_ *) % 0.76/0.94 assert (zenon_L192_ : ((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp5))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (~(hskp5)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H144 zenon_H226 zenon_H21c zenon_H21b zenon_H21a zenon_H10c. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H219 | zenon_intro zenon_H227 ]. % 0.76/0.94 apply (zenon_L188_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H134 | zenon_intro zenon_H10d ]. % 0.76/0.94 apply (zenon_L73_); trivial. % 0.76/0.94 exact (zenon_H10c zenon_H10d). % 0.76/0.94 (* end of lemma zenon_L192_ *) % 0.76/0.94 assert (zenon_L193_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp5))) -> (~(hskp5)) -> ((hskp18)\/((hskp27)\/(hskp17))) -> (~(hskp17)) -> (~(hskp18)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (~(c0_1 (a215))) -> (~(c1_1 (a215))) -> (c2_1 (a215)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H148 zenon_H226 zenon_H10c zenon_H1a1 zenon_H2c zenon_H19f zenon_H159 zenon_H21a zenon_H21b zenon_H21c zenon_H224 zenon_H169 zenon_H145. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.94 apply (zenon_L106_); trivial. % 0.76/0.94 apply (zenon_L191_); trivial. % 0.76/0.94 apply (zenon_L192_); trivial. % 0.76/0.94 (* end of lemma zenon_L193_ *) % 0.76/0.94 assert (zenon_L194_ : (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17)))))) -> (ndr1_0) -> (~(c0_1 (a215))) -> (~(c1_1 (a215))) -> (c3_1 (a215)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H228 zenon_Ha zenon_H21a zenon_H21b zenon_H229. % 0.76/0.94 generalize (zenon_H228 (a215)). zenon_intro zenon_H22a. % 0.76/0.94 apply (zenon_imply_s _ _ zenon_H22a); [ zenon_intro zenon_H9 | zenon_intro zenon_H22b ]. % 0.76/0.94 exact (zenon_H9 zenon_Ha). % 0.76/0.94 apply (zenon_or_s _ _ zenon_H22b); [ zenon_intro zenon_H220 | zenon_intro zenon_H22c ]. % 0.76/0.94 exact (zenon_H21a zenon_H220). % 0.76/0.94 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H222 | zenon_intro zenon_H22d ]. % 0.76/0.94 exact (zenon_H21b zenon_H222). % 0.76/0.94 exact (zenon_H22d zenon_H229). % 0.76/0.94 (* end of lemma zenon_L194_ *) % 0.76/0.94 assert (zenon_L195_ : (forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45)))))) -> (ndr1_0) -> (~(c0_1 (a215))) -> (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17)))))) -> (~(c1_1 (a215))) -> (c2_1 (a215)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H22e zenon_Ha zenon_H21a zenon_H228 zenon_H21b zenon_H21c. % 0.76/0.94 generalize (zenon_H22e (a215)). zenon_intro zenon_H22f. % 0.76/0.94 apply (zenon_imply_s _ _ zenon_H22f); [ zenon_intro zenon_H9 | zenon_intro zenon_H230 ]. % 0.76/0.94 exact (zenon_H9 zenon_Ha). % 0.76/0.94 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_H220 | zenon_intro zenon_H231 ]. % 0.76/0.94 exact (zenon_H21a zenon_H220). % 0.76/0.94 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H229 | zenon_intro zenon_H221 ]. % 0.76/0.94 apply (zenon_L194_); trivial. % 0.76/0.94 exact (zenon_H221 zenon_H21c). % 0.76/0.94 (* end of lemma zenon_L195_ *) % 0.76/0.94 assert (zenon_L196_ : ((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp1)\/(hskp8))) -> (~(hskp10)) -> (~(c0_1 (a215))) -> (~(c1_1 (a215))) -> (c2_1 (a215)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> (~(hskp1)) -> (~(hskp8)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H1e0 zenon_H232 zenon_H2a zenon_H21a zenon_H21b zenon_H21c zenon_H233 zenon_H3 zenon_H3e. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_Ha. zenon_intro zenon_H1e1. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_H1b3. zenon_intro zenon_H1e2. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H1b4. zenon_intro zenon_H1b2. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H228 | zenon_intro zenon_H234 ]. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H22e | zenon_intro zenon_H235 ]. % 0.76/0.94 apply (zenon_L195_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H2b ]. % 0.76/0.94 apply (zenon_L111_); trivial. % 0.76/0.94 exact (zenon_H2a zenon_H2b). % 0.76/0.94 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H4 | zenon_intro zenon_H3f ]. % 0.76/0.94 exact (zenon_H3 zenon_H4). % 0.76/0.94 exact (zenon_H3e zenon_H3f). % 0.76/0.94 (* end of lemma zenon_L196_ *) % 0.76/0.94 assert (zenon_L197_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp1)\/(hskp8))) -> (~(hskp8)) -> (~(hskp1)) -> (~(hskp10)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (~(hskp17)) -> ((hskp18)\/((hskp27)\/(hskp17))) -> (~(hskp5)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H1df zenon_H232 zenon_H3e zenon_H3 zenon_H2a zenon_H233 zenon_H145 zenon_H169 zenon_H224 zenon_H21c zenon_H21b zenon_H21a zenon_H159 zenon_H2c zenon_H1a1 zenon_H10c zenon_H226 zenon_H148. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.76/0.94 apply (zenon_L193_); trivial. % 0.76/0.94 apply (zenon_L196_); trivial. % 0.76/0.94 (* end of lemma zenon_L197_ *) % 0.76/0.94 assert (zenon_L198_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp5))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (~(hskp18)) -> (ndr1_0) -> (~(c2_1 (a248))) -> (c1_1 (a248)) -> (c3_1 (a248)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> (~(hskp5)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H226 zenon_H21c zenon_H21b zenon_H21a zenon_H19f zenon_Ha zenon_H31 zenon_H33 zenon_H4f zenon_H1c7 zenon_H10c. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H219 | zenon_intro zenon_H227 ]. % 0.76/0.94 apply (zenon_L188_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H134 | zenon_intro zenon_H10d ]. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c8 ]. % 0.76/0.94 apply (zenon_L121_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1a0 ]. % 0.76/0.94 apply (zenon_L119_); trivial. % 0.76/0.94 exact (zenon_H19f zenon_H1a0). % 0.76/0.94 exact (zenon_H10c zenon_H10d). % 0.76/0.94 (* end of lemma zenon_L198_ *) % 0.76/0.94 assert (zenon_L199_ : ((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp3)) -> ((hskp3)\/(hskp16)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H63 zenon_H52 zenon_H148 zenon_H226 zenon_H10c zenon_H21c zenon_H21b zenon_H21a zenon_H100 zenon_H101 zenon_H102 zenon_H149 zenon_H10a zenon_H1b zenon_H1f. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H64. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H59. zenon_intro zenon_H65. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.76/0.94 apply (zenon_L12_); trivial. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.94 apply (zenon_L164_); trivial. % 0.76/0.94 apply (zenon_L192_); trivial. % 0.76/0.94 (* end of lemma zenon_L199_ *) % 0.76/0.94 assert (zenon_L200_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp15))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> (ndr1_0) -> (~(hskp15)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H121 zenon_H102 zenon_H101 zenon_H100 zenon_H82 zenon_H11a zenon_H119 zenon_H118 zenon_Ha zenon_H96. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H20 | zenon_intro zenon_H122 ]. % 0.76/0.94 apply (zenon_L138_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H117 | zenon_intro zenon_H97 ]. % 0.76/0.94 apply (zenon_L64_); trivial. % 0.76/0.94 exact (zenon_H96 zenon_H97). % 0.76/0.94 (* end of lemma zenon_L200_ *) % 0.76/0.94 assert (zenon_L201_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp15))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> (ndr1_0) -> (~(hskp15)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H236 zenon_H21c zenon_H21b zenon_H21a zenon_H121 zenon_H102 zenon_H101 zenon_H100 zenon_H11a zenon_H119 zenon_H118 zenon_Ha zenon_H96. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H219 | zenon_intro zenon_H237 ]. % 0.76/0.94 apply (zenon_L188_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H117 | zenon_intro zenon_H82 ]. % 0.76/0.94 apply (zenon_L64_); trivial. % 0.76/0.94 apply (zenon_L200_); trivial. % 0.76/0.94 (* end of lemma zenon_L201_ *) % 0.76/0.94 assert (zenon_L202_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c1_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp10))) -> (c1_1 (a242)) -> (~(c2_1 (a242))) -> (~(c0_1 (a242))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.76/0.94 do 0 intro. intros zenon_Hb0 zenon_Hdc zenon_Hdb zenon_Hda zenon_H102 zenon_H101 zenon_H100 zenon_H82 zenon_Ha zenon_H2a. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb4 ]. % 0.76/0.94 apply (zenon_L50_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H20 | zenon_intro zenon_H2b ]. % 0.76/0.94 apply (zenon_L138_); trivial. % 0.76/0.94 exact (zenon_H2a zenon_H2b). % 0.76/0.94 (* end of lemma zenon_L202_ *) % 0.76/0.94 assert (zenon_L203_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a242))/\((~(c0_1 (a242)))/\(~(c2_1 (a242))))))) -> (~(hskp10)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c1_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp10))) -> (ndr1_0) -> (~(c0_1 (a215))) -> (~(c1_1 (a215))) -> (c2_1 (a215)) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp15))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H123 zenon_H2a zenon_Hb0 zenon_Ha zenon_H21a zenon_H21b zenon_H21c zenon_H118 zenon_H119 zenon_H11a zenon_H121 zenon_H102 zenon_H101 zenon_H100 zenon_H236. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H96 | zenon_intro zenon_He3 ]. % 0.76/0.94 apply (zenon_L201_); trivial. % 0.76/0.94 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Ha. zenon_intro zenon_He4. % 0.76/0.94 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hdc. zenon_intro zenon_He5. % 0.76/0.94 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H219 | zenon_intro zenon_H237 ]. % 0.76/0.94 apply (zenon_L188_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H117 | zenon_intro zenon_H82 ]. % 0.76/0.94 apply (zenon_L64_); trivial. % 0.76/0.94 apply (zenon_L202_); trivial. % 0.76/0.94 (* end of lemma zenon_L203_ *) % 0.76/0.94 assert (zenon_L204_ : (forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (c1_1 (a231)) -> (c3_1 (a231)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H1c4 zenon_Ha zenon_H8d zenon_H59 zenon_H5a. % 0.76/0.94 generalize (zenon_H1c4 (a231)). zenon_intro zenon_H238. % 0.76/0.94 apply (zenon_imply_s _ _ zenon_H238); [ zenon_intro zenon_H9 | zenon_intro zenon_H239 ]. % 0.76/0.94 exact (zenon_H9 zenon_Ha). % 0.76/0.94 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H5d ]. % 0.76/0.94 apply (zenon_L161_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H60 | zenon_intro zenon_H5f ]. % 0.76/0.94 exact (zenon_H60 zenon_H59). % 0.76/0.94 exact (zenon_H5f zenon_H5a). % 0.76/0.94 (* end of lemma zenon_L204_ *) % 0.76/0.94 assert (zenon_L205_ : ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (ndr1_0) -> (forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))) -> (~(hskp26)) -> (~(hskp29)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H159 zenon_H5a zenon_H59 zenon_Ha zenon_H1c4 zenon_H132 zenon_H157. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H8d | zenon_intro zenon_H15a ]. % 0.76/0.94 apply (zenon_L204_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H133 | zenon_intro zenon_H158 ]. % 0.76/0.94 exact (zenon_H132 zenon_H133). % 0.76/0.94 exact (zenon_H157 zenon_H158). % 0.76/0.94 (* end of lemma zenon_L205_ *) % 0.76/0.94 assert (zenon_L206_ : ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> (~(c0_1 (a231))) -> (~(hskp29)) -> (~(hskp26)) -> (ndr1_0) -> (c1_1 (a231)) -> (c3_1 (a231)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (~(hskp18)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H1c7 zenon_H58 zenon_H157 zenon_H132 zenon_Ha zenon_H59 zenon_H5a zenon_H159 zenon_H19f. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c8 ]. % 0.76/0.94 apply (zenon_L22_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1a0 ]. % 0.76/0.94 apply (zenon_L205_); trivial. % 0.76/0.94 exact (zenon_H19f zenon_H1a0). % 0.76/0.94 (* end of lemma zenon_L206_ *) % 0.76/0.94 assert (zenon_L207_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (~(c0_1 (a231))) -> (c1_1 (a231)) -> (c3_1 (a231)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (~(hskp26)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> (~(hskp18)) -> (~(hskp17)) -> ((hskp18)\/((hskp27)\/(hskp17))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H145 zenon_H169 zenon_H224 zenon_H21c zenon_H21b zenon_H21a zenon_H58 zenon_H59 zenon_H5a zenon_H159 zenon_H132 zenon_H1c7 zenon_H19f zenon_H2c zenon_H1a1. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.94 apply (zenon_L106_); trivial. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H157 | zenon_intro zenon_H164 ]. % 0.76/0.94 apply (zenon_L206_); trivial. % 0.76/0.94 apply (zenon_L190_); trivial. % 0.76/0.94 (* end of lemma zenon_L207_ *) % 0.76/0.94 assert (zenon_L208_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> (~(hskp17)) -> (~(hskp18)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (~(c0_1 (a231))) -> (~(c0_1 (a215))) -> (~(c1_1 (a215))) -> (c2_1 (a215)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H148 zenon_H1a1 zenon_H2c zenon_H19f zenon_H1c7 zenon_H159 zenon_H5a zenon_H59 zenon_H58 zenon_H21a zenon_H21b zenon_H21c zenon_H224 zenon_H169 zenon_H145. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.94 apply (zenon_L207_); trivial. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.94 apply (zenon_L106_); trivial. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H219 | zenon_intro zenon_H225 ]. % 0.76/0.94 apply (zenon_L188_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H9c | zenon_intro zenon_H8d ]. % 0.76/0.94 apply (zenon_L181_); trivial. % 0.76/0.94 apply (zenon_L76_); trivial. % 0.76/0.94 (* end of lemma zenon_L208_ *) % 0.76/0.94 assert (zenon_L209_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (c2_1 (a252)) -> (c0_1 (a252)) -> (~(c1_1 (a252))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H1bc zenon_H101 zenon_H100 zenon_H82 zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_Ha zenon_H16f. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1bf ]. % 0.76/0.94 apply (zenon_L144_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H170 ]. % 0.76/0.94 apply (zenon_L111_); trivial. % 0.76/0.94 exact (zenon_H16f zenon_H170). % 0.76/0.94 (* end of lemma zenon_L209_ *) % 0.76/0.94 assert (zenon_L210_ : ((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (~(hskp11)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H1e0 zenon_H236 zenon_H21c zenon_H21b zenon_H21a zenon_H11a zenon_H119 zenon_H118 zenon_H1bc zenon_H101 zenon_H100 zenon_H16f. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_Ha. zenon_intro zenon_H1e1. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_H1b3. zenon_intro zenon_H1e2. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H1b4. zenon_intro zenon_H1b2. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H219 | zenon_intro zenon_H237 ]. % 0.76/0.94 apply (zenon_L188_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H117 | zenon_intro zenon_H82 ]. % 0.76/0.94 apply (zenon_L64_); trivial. % 0.76/0.94 apply (zenon_L209_); trivial. % 0.76/0.94 (* end of lemma zenon_L210_ *) % 0.76/0.94 assert (zenon_L211_ : ((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (~(c0_1 (a231))) -> (c1_1 (a231)) -> (c3_1 (a231)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H4a zenon_H1df zenon_H236 zenon_H100 zenon_H101 zenon_H16f zenon_H1bc zenon_H11a zenon_H119 zenon_H118 zenon_H21c zenon_H21b zenon_H21a zenon_H58 zenon_H59 zenon_H5a zenon_H1c7. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.76/0.94 apply (zenon_L120_); trivial. % 0.76/0.94 apply (zenon_L210_); trivial. % 0.76/0.94 (* end of lemma zenon_L211_ *) % 0.76/0.94 assert (zenon_L212_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (~(c0_1 (a231))) -> (~(c0_1 (a215))) -> (~(c1_1 (a215))) -> (c2_1 (a215)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (~(hskp11)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H53 zenon_H148 zenon_H1a1 zenon_H1c7 zenon_H159 zenon_H5a zenon_H59 zenon_H58 zenon_H21a zenon_H21b zenon_H21c zenon_H224 zenon_H169 zenon_H145 zenon_H118 zenon_H119 zenon_H11a zenon_H1bc zenon_H16f zenon_H101 zenon_H100 zenon_H236 zenon_H1df. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.76/0.94 apply (zenon_L208_); trivial. % 0.76/0.94 apply (zenon_L210_); trivial. % 0.76/0.94 apply (zenon_L211_); trivial. % 0.76/0.94 (* end of lemma zenon_L212_ *) % 0.76/0.94 assert (zenon_L213_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H236 zenon_H21c zenon_H21b zenon_H21a zenon_H11a zenon_H119 zenon_H118 zenon_H23a zenon_H102 zenon_H101 zenon_H100 zenon_Ha zenon_H1. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H219 | zenon_intro zenon_H237 ]. % 0.76/0.94 apply (zenon_L188_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H117 | zenon_intro zenon_H82 ]. % 0.76/0.94 apply (zenon_L64_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H23b ]. % 0.76/0.94 apply (zenon_L144_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hff | zenon_intro zenon_H2 ]. % 0.76/0.94 apply (zenon_L55_); trivial. % 0.76/0.94 exact (zenon_H1 zenon_H2). % 0.76/0.94 (* end of lemma zenon_L213_ *) % 0.76/0.94 assert (zenon_L214_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(c2_1 (a236))) -> (c0_1 (a236)) -> (~(c3_1 (a236))) -> (c2_1 (a237)) -> (c0_1 (a237)) -> (~(c3_1 (a237))) -> (forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (c0_1 (a234)) -> (c3_1 (a234)) -> (c1_1 (a234)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H23c zenon_H193 zenon_H195 zenon_H194 zenon_He zenon_Hd zenon_Hc zenon_H82 zenon_Ha zenon_H9c zenon_H135 zenon_H137 zenon_H136. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H23d ]. % 0.76/0.94 apply (zenon_L130_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H88 | zenon_intro zenon_H1c4 ]. % 0.76/0.94 apply (zenon_L35_); trivial. % 0.76/0.94 apply (zenon_L180_); trivial. % 0.76/0.94 (* end of lemma zenon_L214_ *) % 0.76/0.94 assert (zenon_L215_ : ((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(c2_1 (a236))) -> (c0_1 (a236)) -> (~(c3_1 (a236))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (~(c0_1 (a231))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp3)) -> ((hskp3)\/(hskp16)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H113 zenon_H52 zenon_H148 zenon_H236 zenon_H23c zenon_H193 zenon_H195 zenon_H194 zenon_H215 zenon_H11a zenon_H119 zenon_H118 zenon_H21c zenon_H21b zenon_H21a zenon_H100 zenon_H101 zenon_H102 zenon_H149 zenon_H5a zenon_H59 zenon_H58 zenon_H10a zenon_H1b zenon_H1f. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Ha. zenon_intro zenon_H114. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hd. zenon_intro zenon_H115. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.76/0.94 apply (zenon_L12_); trivial. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.94 apply (zenon_L164_); trivial. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H219 | zenon_intro zenon_H237 ]. % 0.76/0.94 apply (zenon_L188_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H117 | zenon_intro zenon_H82 ]. % 0.76/0.94 apply (zenon_L64_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H216 ]. % 0.76/0.94 apply (zenon_L144_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H40 | zenon_intro zenon_H9c ]. % 0.76/0.94 apply (zenon_L19_); trivial. % 0.76/0.94 apply (zenon_L214_); trivial. % 0.76/0.94 (* end of lemma zenon_L215_ *) % 0.76/0.94 assert (zenon_L216_ : ((ndr1_0)/\((c3_1 (a218))/\((~(c1_1 (a218)))/\(~(c2_1 (a218)))))) -> ((~(hskp6))\/((ndr1_0)/\((c1_1 (a220))/\((c2_1 (a220))/\(~(c3_1 (a220))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a236))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((hskp3)\/(hskp16)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp15))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c1_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a242))/\((~(c0_1 (a242)))/\(~(c2_1 (a242))))))) -> (~(c0_1 (a215))) -> (~(c1_1 (a215))) -> (c2_1 (a215)) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((hskp3)\/(hskp6))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H23e zenon_H23f zenon_H66 zenon_H1de zenon_H116 zenon_H52 zenon_H23c zenon_H215 zenon_H149 zenon_H10a zenon_H1f zenon_H23a zenon_H1df zenon_H1bc zenon_H145 zenon_H169 zenon_H224 zenon_H159 zenon_H1c7 zenon_H1a1 zenon_H148 zenon_H53 zenon_H236 zenon_H121 zenon_Hb0 zenon_H123 zenon_H21a zenon_H21b zenon_H21c zenon_H1b zenon_H223. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H240. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H11a. zenon_intro zenon_H241. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H17 | zenon_intro zenon_H16a ]. % 0.76/0.94 apply (zenon_L189_); trivial. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Ha. zenon_intro zenon_H16b. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H101. zenon_intro zenon_H16c. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H102. zenon_intro zenon_H100. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.76/0.94 apply (zenon_L203_); trivial. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H64. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H59. zenon_intro zenon_H65. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H16f | zenon_intro zenon_H19c ]. % 0.76/0.94 apply (zenon_L212_); trivial. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Ha. zenon_intro zenon_H19d. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H195. zenon_intro zenon_H19e. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H193. zenon_intro zenon_H194. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.76/0.94 apply (zenon_L213_); trivial. % 0.76/0.94 apply (zenon_L215_); trivial. % 0.76/0.94 (* end of lemma zenon_L216_ *) % 0.76/0.94 assert (zenon_L217_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp5))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (ndr1_0) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp5))) -> (~(hskp5)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H226 zenon_H21c zenon_H21b zenon_H21a zenon_Ha zenon_H174 zenon_H175 zenon_H176 zenon_H185 zenon_H10c. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H219 | zenon_intro zenon_H227 ]. % 0.76/0.94 apply (zenon_L188_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H134 | zenon_intro zenon_H10d ]. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H173 | zenon_intro zenon_H186 ]. % 0.76/0.94 apply (zenon_L95_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H30 | zenon_intro zenon_H10d ]. % 0.76/0.94 apply (zenon_L97_); trivial. % 0.76/0.94 exact (zenon_H10c zenon_H10d). % 0.76/0.94 exact (zenon_H10c zenon_H10d). % 0.76/0.94 (* end of lemma zenon_L217_ *) % 0.76/0.94 assert (zenon_L218_ : ((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H190 zenon_H236 zenon_H21c zenon_H21b zenon_H21a zenon_H11a zenon_H119 zenon_H118. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_Ha. zenon_intro zenon_H191. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H188. zenon_intro zenon_H192. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H189. zenon_intro zenon_H187. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H219 | zenon_intro zenon_H237 ]. % 0.76/0.94 apply (zenon_L188_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H117 | zenon_intro zenon_H82 ]. % 0.76/0.94 apply (zenon_L64_); trivial. % 0.76/0.94 apply (zenon_L99_); trivial. % 0.76/0.94 (* end of lemma zenon_L218_ *) % 0.76/0.94 assert (zenon_L219_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (~(hskp11)) -> (~(hskp1)) -> ((hskp20)\/((hskp11)\/(hskp1))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H1c1 zenon_H236 zenon_H11a zenon_H119 zenon_H118 zenon_H21c zenon_H21b zenon_H21a zenon_H16f zenon_H3 zenon_H171. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H16d | zenon_intro zenon_H190 ]. % 0.76/0.94 apply (zenon_L94_); trivial. % 0.76/0.94 apply (zenon_L218_); trivial. % 0.76/0.94 (* end of lemma zenon_L219_ *) % 0.76/0.94 assert (zenon_L220_ : (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (ndr1_0) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c3_1 (a216)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H70 zenon_Ha zenon_H174 zenon_H175 zenon_H17c. % 0.76/0.94 generalize (zenon_H70 (a216)). zenon_intro zenon_H242. % 0.76/0.94 apply (zenon_imply_s _ _ zenon_H242); [ zenon_intro zenon_H9 | zenon_intro zenon_H243 ]. % 0.76/0.94 exact (zenon_H9 zenon_Ha). % 0.76/0.94 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H17a | zenon_intro zenon_H244 ]. % 0.76/0.94 exact (zenon_H174 zenon_H17a). % 0.76/0.94 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H17b | zenon_intro zenon_H180 ]. % 0.76/0.94 exact (zenon_H17b zenon_H175). % 0.76/0.94 exact (zenon_H180 zenon_H17c). % 0.76/0.94 (* end of lemma zenon_L220_ *) % 0.76/0.94 assert (zenon_L221_ : (forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H82 zenon_Ha zenon_H70 zenon_H174 zenon_H175 zenon_H176. % 0.76/0.94 generalize (zenon_H82 (a216)). zenon_intro zenon_H245. % 0.76/0.94 apply (zenon_imply_s _ _ zenon_H245); [ zenon_intro zenon_H9 | zenon_intro zenon_H246 ]. % 0.76/0.94 exact (zenon_H9 zenon_Ha). % 0.76/0.94 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H17c | zenon_intro zenon_H184 ]. % 0.76/0.94 apply (zenon_L220_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H17b | zenon_intro zenon_H181 ]. % 0.76/0.94 exact (zenon_H17b zenon_H175). % 0.76/0.94 exact (zenon_H181 zenon_H176). % 0.76/0.94 (* end of lemma zenon_L221_ *) % 0.76/0.94 assert (zenon_L222_ : ((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp10))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> (~(hskp10)) -> False). % 0.76/0.94 do 0 intro. intros zenon_Haf zenon_H236 zenon_H247 zenon_H21c zenon_H21b zenon_H21a zenon_H176 zenon_H175 zenon_H174 zenon_H1f1 zenon_H11a zenon_H119 zenon_H118 zenon_H2a. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H219 | zenon_intro zenon_H237 ]. % 0.76/0.94 apply (zenon_L188_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H117 | zenon_intro zenon_H82 ]. % 0.76/0.94 apply (zenon_L64_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H219 | zenon_intro zenon_H248 ]. % 0.76/0.94 apply (zenon_L188_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H70 | zenon_intro zenon_H9c ]. % 0.76/0.94 apply (zenon_L221_); trivial. % 0.76/0.94 apply (zenon_L151_); trivial. % 0.76/0.94 (* end of lemma zenon_L222_ *) % 0.76/0.94 assert (zenon_L223_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (~(hskp18)) -> (~(hskp17)) -> ((hskp18)\/((hskp27)\/(hskp17))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H145 zenon_H236 zenon_H174 zenon_H175 zenon_H176 zenon_H1f1 zenon_H2a zenon_H247 zenon_H11a zenon_H119 zenon_H118 zenon_H21c zenon_H21b zenon_H21a zenon_H19f zenon_H2c zenon_H1a1. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.94 apply (zenon_L106_); trivial. % 0.76/0.94 apply (zenon_L222_); trivial. % 0.76/0.94 (* end of lemma zenon_L223_ *) % 0.76/0.94 assert (zenon_L224_ : (forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67)))))) -> (ndr1_0) -> (~(c1_1 (a215))) -> (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17)))))) -> (~(c0_1 (a215))) -> (c2_1 (a215)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H88 zenon_Ha zenon_H21b zenon_H228 zenon_H21a zenon_H21c. % 0.76/0.94 generalize (zenon_H88 (a215)). zenon_intro zenon_H249. % 0.76/0.94 apply (zenon_imply_s _ _ zenon_H249); [ zenon_intro zenon_H9 | zenon_intro zenon_H24a ]. % 0.76/0.94 exact (zenon_H9 zenon_Ha). % 0.76/0.94 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H222 | zenon_intro zenon_H231 ]. % 0.76/0.94 exact (zenon_H21b zenon_H222). % 0.76/0.94 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H229 | zenon_intro zenon_H221 ]. % 0.76/0.94 apply (zenon_L194_); trivial. % 0.76/0.94 exact (zenon_H221 zenon_H21c). % 0.76/0.94 (* end of lemma zenon_L224_ *) % 0.76/0.94 assert (zenon_L225_ : ((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp1)\/(hskp8))) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (c2_1 (a215)) -> (~(c3_1 (a236))) -> (c0_1 (a236)) -> (~(c2_1 (a236))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(hskp1)) -> (~(hskp8)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H4a zenon_H236 zenon_H11a zenon_H119 zenon_H118 zenon_H232 zenon_H21b zenon_H21a zenon_H21c zenon_H194 zenon_H195 zenon_H193 zenon_H23c zenon_H3 zenon_H3e. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H219 | zenon_intro zenon_H237 ]. % 0.76/0.94 apply (zenon_L188_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H117 | zenon_intro zenon_H82 ]. % 0.76/0.94 apply (zenon_L64_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H228 | zenon_intro zenon_H234 ]. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H23d ]. % 0.76/0.94 apply (zenon_L130_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H88 | zenon_intro zenon_H1c4 ]. % 0.76/0.94 apply (zenon_L224_); trivial. % 0.76/0.94 apply (zenon_L119_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H4 | zenon_intro zenon_H3f ]. % 0.76/0.94 exact (zenon_H3 zenon_H4). % 0.76/0.94 exact (zenon_H3e zenon_H3f). % 0.76/0.94 (* end of lemma zenon_L225_ *) % 0.76/0.94 assert (zenon_L226_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (ndr1_0) -> (c0_1 (a296)) -> (c2_1 (a296)) -> (c3_1 (a296)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H247 zenon_H21c zenon_H21b zenon_H21a zenon_H176 zenon_H175 zenon_H174 zenon_H82 zenon_Ha zenon_H15b zenon_H15c zenon_H15d. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H219 | zenon_intro zenon_H248 ]. % 0.76/0.94 apply (zenon_L188_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H70 | zenon_intro zenon_H9c ]. % 0.76/0.94 apply (zenon_L221_); trivial. % 0.76/0.94 apply (zenon_L85_); trivial. % 0.76/0.94 (* end of lemma zenon_L226_ *) % 0.76/0.94 assert (zenon_L227_ : ((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H164 zenon_H236 zenon_H11a zenon_H119 zenon_H118 zenon_H247 zenon_H21c zenon_H21b zenon_H21a zenon_H176 zenon_H175 zenon_H174. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Ha. zenon_intro zenon_H166. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H15b. zenon_intro zenon_H167. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H219 | zenon_intro zenon_H237 ]. % 0.76/0.94 apply (zenon_L188_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H117 | zenon_intro zenon_H82 ]. % 0.76/0.94 apply (zenon_L64_); trivial. % 0.76/0.94 apply (zenon_L226_); trivial. % 0.76/0.94 (* end of lemma zenon_L227_ *) % 0.76/0.94 assert (zenon_L228_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (ndr1_0) -> (~(c0_1 (a215))) -> (~(c1_1 (a215))) -> (c2_1 (a215)) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp1)\/(hskp8))) -> (~(hskp8)) -> (~(hskp1)) -> (~(c3_1 (a236))) -> (c0_1 (a236)) -> (~(c2_1 (a236))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (~(hskp26)) -> (c3_1 (a231)) -> (c1_1 (a231)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H169 zenon_H174 zenon_H175 zenon_H176 zenon_H247 zenon_Ha zenon_H21a zenon_H21b zenon_H21c zenon_H118 zenon_H119 zenon_H11a zenon_H232 zenon_H3e zenon_H3 zenon_H194 zenon_H195 zenon_H193 zenon_H159 zenon_H132 zenon_H5a zenon_H59 zenon_H23c zenon_H236. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H157 | zenon_intro zenon_H164 ]. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H219 | zenon_intro zenon_H237 ]. % 0.76/0.94 apply (zenon_L188_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H117 | zenon_intro zenon_H82 ]. % 0.76/0.94 apply (zenon_L64_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H228 | zenon_intro zenon_H234 ]. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H23d ]. % 0.76/0.94 apply (zenon_L130_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H88 | zenon_intro zenon_H1c4 ]. % 0.76/0.94 apply (zenon_L224_); trivial. % 0.76/0.94 apply (zenon_L205_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H4 | zenon_intro zenon_H3f ]. % 0.76/0.94 exact (zenon_H3 zenon_H4). % 0.76/0.94 exact (zenon_H3e zenon_H3f). % 0.76/0.94 apply (zenon_L227_); trivial. % 0.76/0.94 (* end of lemma zenon_L228_ *) % 0.76/0.94 assert (zenon_L229_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(c2_1 (a236))) -> (c0_1 (a236)) -> (~(c3_1 (a236))) -> (forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (c2_1 (a215)) -> (~(c0_1 (a215))) -> (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17)))))) -> (~(c1_1 (a215))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (c0_1 (a234)) -> (c3_1 (a234)) -> (c1_1 (a234)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H23c zenon_H193 zenon_H195 zenon_H194 zenon_H82 zenon_H21c zenon_H21a zenon_H228 zenon_H21b zenon_Ha zenon_H9c zenon_H135 zenon_H137 zenon_H136. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H23d ]. % 0.76/0.94 apply (zenon_L130_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H88 | zenon_intro zenon_H1c4 ]. % 0.76/0.94 apply (zenon_L224_); trivial. % 0.76/0.94 apply (zenon_L180_); trivial. % 0.76/0.94 (* end of lemma zenon_L229_ *) % 0.76/0.94 assert (zenon_L230_ : ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp1)\/(hskp8))) -> (c1_1 (a234)) -> (c3_1 (a234)) -> (c0_1 (a234)) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (c2_1 (a215)) -> (forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (~(c3_1 (a236))) -> (c0_1 (a236)) -> (~(c2_1 (a236))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(hskp1)) -> (~(hskp8)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H232 zenon_H136 zenon_H137 zenon_H135 zenon_H9c zenon_Ha zenon_H21b zenon_H21a zenon_H21c zenon_H82 zenon_H194 zenon_H195 zenon_H193 zenon_H23c zenon_H3 zenon_H3e. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H228 | zenon_intro zenon_H234 ]. % 0.76/0.94 apply (zenon_L229_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H4 | zenon_intro zenon_H3f ]. % 0.76/0.94 exact (zenon_H3 zenon_H4). % 0.76/0.94 exact (zenon_H3e zenon_H3f). % 0.76/0.94 (* end of lemma zenon_L230_ *) % 0.76/0.94 assert (zenon_L231_ : ((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp1)\/(hskp8))) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (c2_1 (a215)) -> (~(c3_1 (a236))) -> (c0_1 (a236)) -> (~(c2_1 (a236))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(hskp1)) -> (~(hskp8)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H144 zenon_H236 zenon_H11a zenon_H119 zenon_H118 zenon_H247 zenon_H176 zenon_H175 zenon_H174 zenon_H232 zenon_H21b zenon_H21a zenon_H21c zenon_H194 zenon_H195 zenon_H193 zenon_H23c zenon_H3 zenon_H3e. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H219 | zenon_intro zenon_H237 ]. % 0.76/0.94 apply (zenon_L188_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H117 | zenon_intro zenon_H82 ]. % 0.76/0.94 apply (zenon_L64_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H219 | zenon_intro zenon_H248 ]. % 0.76/0.94 apply (zenon_L188_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H70 | zenon_intro zenon_H9c ]. % 0.76/0.94 apply (zenon_L221_); trivial. % 0.76/0.94 apply (zenon_L230_); trivial. % 0.76/0.94 (* end of lemma zenon_L231_ *) % 0.76/0.94 assert (zenon_L232_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(hskp1))) -> (c3_1 (a225)) -> (~(c2_1 (a225))) -> (~(c0_1 (a225))) -> (~(c2_1 (a236))) -> (c0_1 (a236)) -> (~(c3_1 (a236))) -> (forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (ndr1_0) -> (~(hskp1)) -> False). % 0.76/0.94 do 0 intro. intros zenon_Hfb zenon_He9 zenon_He8 zenon_He7 zenon_H193 zenon_H195 zenon_H194 zenon_H82 zenon_Ha zenon_H3. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He6 | zenon_intro zenon_Hfe ]. % 0.76/0.94 apply (zenon_L52_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H4 ]. % 0.76/0.94 apply (zenon_L130_); trivial. % 0.76/0.94 exact (zenon_H3 zenon_H4). % 0.76/0.94 (* end of lemma zenon_L232_ *) % 0.76/0.94 assert (zenon_L233_ : ((ndr1_0)/\((c0_1 (a236))/\((~(c2_1 (a236)))/\(~(c3_1 (a236)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(hskp1))) -> (c3_1 (a225)) -> (~(c2_1 (a225))) -> (~(c0_1 (a225))) -> (~(hskp1)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H19c zenon_H236 zenon_H21c zenon_H21b zenon_H21a zenon_H11a zenon_H119 zenon_H118 zenon_Hfb zenon_He9 zenon_He8 zenon_He7 zenon_H3. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Ha. zenon_intro zenon_H19d. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H195. zenon_intro zenon_H19e. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H193. zenon_intro zenon_H194. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H219 | zenon_intro zenon_H237 ]. % 0.76/0.94 apply (zenon_L188_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H117 | zenon_intro zenon_H82 ]. % 0.76/0.94 apply (zenon_L64_); trivial. % 0.76/0.94 apply (zenon_L232_); trivial. % 0.76/0.94 (* end of lemma zenon_L233_ *) % 0.76/0.94 assert (zenon_L234_ : ((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c2_1 (a225)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a236))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(hskp1))) -> ((hskp20)\/((hskp11)\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a215))) -> (~(c1_1 (a215))) -> (c2_1 (a215)) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257))))))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H10e zenon_H1de zenon_Hfb zenon_H171 zenon_H3 zenon_H21a zenon_H21b zenon_H21c zenon_H118 zenon_H119 zenon_H11a zenon_H236 zenon_H1c1. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Ha. zenon_intro zenon_H110. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He9. zenon_intro zenon_H111. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_He7. zenon_intro zenon_He8. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H16f | zenon_intro zenon_H19c ]. % 0.76/0.94 apply (zenon_L219_); trivial. % 0.76/0.94 apply (zenon_L233_); trivial. % 0.76/0.94 (* end of lemma zenon_L234_ *) % 0.76/0.94 assert (zenon_L235_ : (forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67)))))) -> (ndr1_0) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37)))))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H88 zenon_Ha zenon_H1a7 zenon_H24b zenon_H24c zenon_H24d. % 0.76/0.94 generalize (zenon_H88 (a214)). zenon_intro zenon_H24e. % 0.76/0.94 apply (zenon_imply_s _ _ zenon_H24e); [ zenon_intro zenon_H9 | zenon_intro zenon_H24f ]. % 0.76/0.94 exact (zenon_H9 zenon_Ha). % 0.76/0.94 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H251 | zenon_intro zenon_H250 ]. % 0.76/0.94 generalize (zenon_H1a7 (a214)). zenon_intro zenon_H252. % 0.76/0.94 apply (zenon_imply_s _ _ zenon_H252); [ zenon_intro zenon_H9 | zenon_intro zenon_H253 ]. % 0.76/0.94 exact (zenon_H9 zenon_Ha). % 0.76/0.94 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H255 | zenon_intro zenon_H254 ]. % 0.76/0.94 exact (zenon_H24b zenon_H255). % 0.76/0.94 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H257 | zenon_intro zenon_H256 ]. % 0.76/0.94 exact (zenon_H24c zenon_H257). % 0.76/0.94 exact (zenon_H256 zenon_H251). % 0.76/0.94 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H257 | zenon_intro zenon_H258 ]. % 0.76/0.94 exact (zenon_H24c zenon_H257). % 0.76/0.94 exact (zenon_H258 zenon_H24d). % 0.76/0.94 (* end of lemma zenon_L235_ *) % 0.76/0.94 assert (zenon_L236_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a320)) -> (c2_1 (a320)) -> (~(c0_1 (a320))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37)))))) -> (ndr1_0) -> (c0_1 (a296)) -> (c2_1 (a296)) -> (c3_1 (a296)) -> False). % 0.76/0.94 do 0 intro. intros zenon_Hab zenon_H7b zenon_H7a zenon_H79 zenon_H24d zenon_H24c zenon_H24b zenon_H1a7 zenon_Ha zenon_H15b zenon_H15c zenon_H15d. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H78 | zenon_intro zenon_Hac ]. % 0.76/0.94 apply (zenon_L33_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H88 | zenon_intro zenon_H9c ]. % 0.76/0.94 apply (zenon_L235_); trivial. % 0.76/0.94 apply (zenon_L85_); trivial. % 0.76/0.94 (* end of lemma zenon_L236_ *) % 0.76/0.94 assert (zenon_L237_ : ((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c0_1 (a320))) -> (c2_1 (a320)) -> (c3_1 (a320)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H164 zenon_H215 zenon_H24b zenon_H24c zenon_H24d zenon_H79 zenon_H7a zenon_H7b zenon_Hab zenon_H43 zenon_H42 zenon_H41. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Ha. zenon_intro zenon_H166. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H15b. zenon_intro zenon_H167. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H216 ]. % 0.76/0.94 apply (zenon_L236_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H40 | zenon_intro zenon_H9c ]. % 0.76/0.94 apply (zenon_L19_); trivial. % 0.76/0.94 apply (zenon_L85_); trivial. % 0.76/0.94 (* end of lemma zenon_L237_ *) % 0.76/0.94 assert (zenon_L238_ : ((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> (~(c0_1 (a320))) -> (c2_1 (a320)) -> (c3_1 (a320)) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp26)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> False). % 0.76/0.94 do 0 intro. intros zenon_Haf zenon_H169 zenon_H215 zenon_H43 zenon_H42 zenon_H41 zenon_H79 zenon_H7a zenon_H7b zenon_H24b zenon_H24c zenon_H24d zenon_Hab zenon_H132 zenon_H159. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H157 | zenon_intro zenon_H164 ]. % 0.76/0.94 apply (zenon_L84_); trivial. % 0.76/0.94 apply (zenon_L237_); trivial. % 0.76/0.94 (* end of lemma zenon_L238_ *) % 0.76/0.94 assert (zenon_L239_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> (~(c0_1 (a320))) -> (c2_1 (a320)) -> (c3_1 (a320)) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp26)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (~(hskp18)) -> (~(hskp17)) -> ((hskp18)\/((hskp27)\/(hskp17))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H145 zenon_H169 zenon_H215 zenon_H43 zenon_H42 zenon_H41 zenon_H79 zenon_H7a zenon_H7b zenon_H24b zenon_H24c zenon_H24d zenon_Hab zenon_H132 zenon_H159 zenon_H19f zenon_H2c zenon_H1a1. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.94 apply (zenon_L106_); trivial. % 0.76/0.94 apply (zenon_L238_); trivial. % 0.76/0.94 (* end of lemma zenon_L239_ *) % 0.76/0.94 assert (zenon_L240_ : (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (c0_1 (a234)) -> (c3_1 (a234)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H70 zenon_Ha zenon_H9c zenon_H135 zenon_H137. % 0.76/0.94 generalize (zenon_H70 (a234)). zenon_intro zenon_H259. % 0.76/0.94 apply (zenon_imply_s _ _ zenon_H259); [ zenon_intro zenon_H9 | zenon_intro zenon_H25a ]. % 0.76/0.94 exact (zenon_H9 zenon_Ha). % 0.76/0.94 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H20e | zenon_intro zenon_H25b ]. % 0.76/0.94 apply (zenon_L179_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H13b | zenon_intro zenon_H13c ]. % 0.76/0.94 exact (zenon_H13b zenon_H135). % 0.76/0.94 exact (zenon_H13c zenon_H137). % 0.76/0.94 (* end of lemma zenon_L240_ *) % 0.76/0.94 assert (zenon_L241_ : ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37)))))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (c0_1 (a234)) -> (c3_1 (a234)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H25c zenon_H43 zenon_H42 zenon_H41 zenon_H24d zenon_H24c zenon_H24b zenon_H1a7 zenon_Ha zenon_H9c zenon_H135 zenon_H137. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H40 | zenon_intro zenon_H25d ]. % 0.76/0.94 apply (zenon_L19_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H88 | zenon_intro zenon_H70 ]. % 0.76/0.94 apply (zenon_L235_); trivial. % 0.76/0.94 apply (zenon_L240_); trivial. % 0.76/0.94 (* end of lemma zenon_L241_ *) % 0.76/0.94 assert (zenon_L242_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a320)) -> (c2_1 (a320)) -> (~(c0_1 (a320))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37)))))) -> (ndr1_0) -> (c0_1 (a234)) -> (c3_1 (a234)) -> False). % 0.76/0.94 do 0 intro. intros zenon_Hab zenon_H7b zenon_H7a zenon_H79 zenon_H25c zenon_H43 zenon_H42 zenon_H41 zenon_H24d zenon_H24c zenon_H24b zenon_H1a7 zenon_Ha zenon_H135 zenon_H137. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H78 | zenon_intro zenon_Hac ]. % 0.76/0.94 apply (zenon_L33_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H88 | zenon_intro zenon_H9c ]. % 0.76/0.94 apply (zenon_L235_); trivial. % 0.76/0.94 apply (zenon_L241_); trivial. % 0.76/0.94 (* end of lemma zenon_L242_ *) % 0.76/0.94 assert (zenon_L243_ : ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> (c1_1 (a261)) -> (c3_1 (a261)) -> (c2_1 (a261)) -> (c1_1 (a234)) -> (c3_1 (a234)) -> (c0_1 (a234)) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> (~(hskp18)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H1c7 zenon_H9f zenon_H9e zenon_H9d zenon_H136 zenon_H137 zenon_H135 zenon_H9c zenon_Ha zenon_H19f. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c8 ]. % 0.76/0.94 apply (zenon_L41_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1a0 ]. % 0.76/0.94 apply (zenon_L180_); trivial. % 0.76/0.94 exact (zenon_H19f zenon_H1a0). % 0.76/0.94 (* end of lemma zenon_L243_ *) % 0.76/0.94 assert (zenon_L244_ : ((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c0_1 (a320))) -> (c2_1 (a320)) -> (c3_1 (a320)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> (c1_1 (a234)) -> (c3_1 (a234)) -> (c0_1 (a234)) -> (~(hskp18)) -> False). % 0.76/0.94 do 0 intro. intros zenon_Haf zenon_H215 zenon_H24b zenon_H24c zenon_H24d zenon_H25c zenon_H79 zenon_H7a zenon_H7b zenon_Hab zenon_H43 zenon_H42 zenon_H41 zenon_H1c7 zenon_H136 zenon_H137 zenon_H135 zenon_H19f. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H216 ]. % 0.76/0.94 apply (zenon_L242_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H40 | zenon_intro zenon_H9c ]. % 0.76/0.94 apply (zenon_L19_); trivial. % 0.76/0.94 apply (zenon_L243_); trivial. % 0.76/0.94 (* end of lemma zenon_L244_ *) % 0.76/0.94 assert (zenon_L245_ : ((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp18)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> (~(c0_1 (a320))) -> (c2_1 (a320)) -> (c3_1 (a320)) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H144 zenon_H145 zenon_H215 zenon_H19f zenon_H1c7 zenon_H79 zenon_H7a zenon_H7b zenon_H24b zenon_H24c zenon_H24d zenon_H25c zenon_H43 zenon_H42 zenon_H41 zenon_Hab zenon_H13e zenon_H140. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.94 apply (zenon_L75_); trivial. % 0.76/0.94 apply (zenon_L244_); trivial. % 0.76/0.94 (* end of lemma zenon_L245_ *) % 0.76/0.94 assert (zenon_L246_ : (forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45)))))) -> (ndr1_0) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H22e zenon_Ha zenon_H24b zenon_H24c zenon_H24d. % 0.76/0.94 generalize (zenon_H22e (a214)). zenon_intro zenon_H25e. % 0.76/0.94 apply (zenon_imply_s _ _ zenon_H25e); [ zenon_intro zenon_H9 | zenon_intro zenon_H25f ]. % 0.76/0.94 exact (zenon_H9 zenon_Ha). % 0.76/0.94 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H255 | zenon_intro zenon_H250 ]. % 0.76/0.94 exact (zenon_H24b zenon_H255). % 0.76/0.94 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H257 | zenon_intro zenon_H258 ]. % 0.76/0.94 exact (zenon_H24c zenon_H257). % 0.76/0.94 exact (zenon_H258 zenon_H24d). % 0.76/0.94 (* end of lemma zenon_L246_ *) % 0.76/0.94 assert (zenon_L247_ : ((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (~(hskp10)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H1e0 zenon_H233 zenon_H24d zenon_H24c zenon_H24b zenon_H2a. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_Ha. zenon_intro zenon_H1e1. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_H1b3. zenon_intro zenon_H1e2. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H1b4. zenon_intro zenon_H1b2. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H22e | zenon_intro zenon_H235 ]. % 0.76/0.94 apply (zenon_L246_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H2b ]. % 0.76/0.94 apply (zenon_L111_); trivial. % 0.76/0.94 exact (zenon_H2a zenon_H2b). % 0.76/0.94 (* end of lemma zenon_L247_ *) % 0.76/0.94 assert (zenon_L248_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> (~(hskp17)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (~(c1_1 (a245))) -> (~(c3_1 (a245))) -> (c0_1 (a245)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((hskp25)\/(hskp19)) -> (~(hskp3)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp3)\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255))))))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H1df zenon_H233 zenon_H2a zenon_Hc1 zenon_H148 zenon_H1c7 zenon_H25c zenon_H13e zenon_H140 zenon_H1a1 zenon_H2c zenon_H159 zenon_Hab zenon_H24d zenon_H24c zenon_H24b zenon_H41 zenon_H42 zenon_H43 zenon_H215 zenon_H169 zenon_H145 zenon_H69 zenon_H1b zenon_Hd3 zenon_Hd6 zenon_H14b. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H6a | zenon_intro zenon_Hc5 ]. % 0.76/0.94 apply (zenon_L27_); trivial. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc6. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7a. zenon_intro zenon_Hc7. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.94 apply (zenon_L239_); trivial. % 0.76/0.94 apply (zenon_L245_); trivial. % 0.76/0.94 apply (zenon_L49_); trivial. % 0.76/0.94 apply (zenon_L247_); trivial. % 0.76/0.94 (* end of lemma zenon_L248_ *) % 0.76/0.94 assert (zenon_L249_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> (~(c0_1 (a320))) -> (c2_1 (a320)) -> (c3_1 (a320)) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp26)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp3)\/(hskp27))) -> (~(hskp3)) -> (c3_1 (a248)) -> (c1_1 (a248)) -> (~(c2_1 (a248))) -> (ndr1_0) -> (~(hskp18)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H145 zenon_H169 zenon_H215 zenon_H43 zenon_H42 zenon_H41 zenon_H79 zenon_H7a zenon_H7b zenon_H24b zenon_H24c zenon_H24d zenon_Hab zenon_H132 zenon_H159 zenon_H76 zenon_H1b zenon_H4f zenon_H33 zenon_H31 zenon_Ha zenon_H19f zenon_H1c7. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c8 ]. % 0.76/0.94 apply (zenon_L31_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1a0 ]. % 0.76/0.94 apply (zenon_L119_); trivial. % 0.76/0.94 exact (zenon_H19f zenon_H1a0). % 0.76/0.94 apply (zenon_L238_); trivial. % 0.76/0.94 (* end of lemma zenon_L249_ *) % 0.76/0.94 assert (zenon_L250_ : ((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> (~(hskp3)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp3)\/(hskp27))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (~(c1_1 (a245))) -> (~(c3_1 (a245))) -> (c0_1 (a245)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((hskp25)\/(hskp19)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp3)\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255))))))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H4a zenon_H1df zenon_H233 zenon_H2a zenon_Hc1 zenon_H148 zenon_H25c zenon_H13e zenon_H140 zenon_H1c7 zenon_H1b zenon_H76 zenon_H159 zenon_Hab zenon_H24d zenon_H24c zenon_H24b zenon_H41 zenon_H42 zenon_H43 zenon_H215 zenon_H169 zenon_H145 zenon_H69 zenon_Hd3 zenon_Hd6 zenon_H14b. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H6a | zenon_intro zenon_Hc5 ]. % 0.76/0.94 apply (zenon_L27_); trivial. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc6. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7a. zenon_intro zenon_Hc7. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.94 apply (zenon_L249_); trivial. % 0.76/0.94 apply (zenon_L245_); trivial. % 0.76/0.94 apply (zenon_L49_); trivial. % 0.76/0.94 apply (zenon_L247_); trivial. % 0.76/0.94 (* end of lemma zenon_L250_ *) % 0.76/0.94 assert (zenon_L251_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> (~(hskp17)) -> (~(c1_1 (a245))) -> (~(c3_1 (a245))) -> (c0_1 (a245)) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H1df zenon_H233 zenon_H2a zenon_H24d zenon_H24c zenon_H24b zenon_H1a1 zenon_H2c zenon_H41 zenon_H42 zenon_H43 zenon_H100 zenon_H101 zenon_H102 zenon_H10a zenon_H145. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.76/0.94 apply (zenon_L154_); trivial. % 0.76/0.94 apply (zenon_L247_); trivial. % 0.76/0.94 (* end of lemma zenon_L251_ *) % 0.76/0.94 assert (zenon_L252_ : ((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp3)) -> ((hskp3)\/(hskp16)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H63 zenon_H52 zenon_H148 zenon_H145 zenon_H13e zenon_H140 zenon_H100 zenon_H101 zenon_H102 zenon_H149 zenon_H10a zenon_H1b zenon_H1f. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H64. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H59. zenon_intro zenon_H65. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.76/0.94 apply (zenon_L12_); trivial. % 0.76/0.94 apply (zenon_L165_); trivial. % 0.76/0.94 (* end of lemma zenon_L252_ *) % 0.76/0.94 assert (zenon_L253_ : (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18))))) -> (ndr1_0) -> (forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19)))))) -> (~(c1_1 (a217))) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H1d0 zenon_Ha zenon_H40 zenon_H14d zenon_H14f zenon_H14e. % 0.76/0.94 generalize (zenon_H1d0 (a217)). zenon_intro zenon_H260. % 0.76/0.94 apply (zenon_imply_s _ _ zenon_H260); [ zenon_intro zenon_H9 | zenon_intro zenon_H261 ]. % 0.76/0.94 exact (zenon_H9 zenon_Ha). % 0.76/0.94 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H262 | zenon_intro zenon_H152 ]. % 0.76/0.94 generalize (zenon_H40 (a217)). zenon_intro zenon_H263. % 0.76/0.94 apply (zenon_imply_s _ _ zenon_H263); [ zenon_intro zenon_H9 | zenon_intro zenon_H264 ]. % 0.76/0.94 exact (zenon_H9 zenon_Ha). % 0.76/0.94 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H153 | zenon_intro zenon_H265 ]. % 0.76/0.94 exact (zenon_H14d zenon_H153). % 0.76/0.94 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H154 | zenon_intro zenon_H266 ]. % 0.76/0.94 exact (zenon_H14f zenon_H154). % 0.76/0.94 exact (zenon_H266 zenon_H262). % 0.76/0.94 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H155 | zenon_intro zenon_H154 ]. % 0.76/0.94 exact (zenon_H14e zenon_H155). % 0.76/0.94 exact (zenon_H14f zenon_H154). % 0.76/0.94 (* end of lemma zenon_L253_ *) % 0.76/0.94 assert (zenon_L254_ : ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(c1_1 (a217))) -> (forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19)))))) -> (c3_1 (a320)) -> (c2_1 (a320)) -> (~(c0_1 (a320))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H1d4 zenon_H14e zenon_H14f zenon_H14d zenon_H40 zenon_H7b zenon_H7a zenon_H79 zenon_Ha zenon_Had. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1d5 ]. % 0.76/0.94 apply (zenon_L253_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hae ]. % 0.76/0.94 apply (zenon_L33_); trivial. % 0.76/0.94 exact (zenon_Had zenon_Hae). % 0.76/0.94 (* end of lemma zenon_L254_ *) % 0.76/0.94 assert (zenon_L255_ : ((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp9)) -> (~(c0_1 (a320))) -> (c2_1 (a320)) -> (c3_1 (a320)) -> (~(c1_1 (a217))) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H164 zenon_H215 zenon_H24b zenon_H24c zenon_H24d zenon_Hab zenon_Had zenon_H79 zenon_H7a zenon_H7b zenon_H14d zenon_H14f zenon_H14e zenon_H1d4. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Ha. zenon_intro zenon_H166. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H15b. zenon_intro zenon_H167. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H216 ]. % 0.76/0.94 apply (zenon_L236_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H40 | zenon_intro zenon_H9c ]. % 0.76/0.94 apply (zenon_L254_); trivial. % 0.76/0.94 apply (zenon_L85_); trivial. % 0.76/0.94 (* end of lemma zenon_L255_ *) % 0.76/0.94 assert (zenon_L256_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(c0_1 (a320))) -> (c2_1 (a320)) -> (c3_1 (a320)) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp26)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (ndr1_0) -> (~(c1_1 (a217))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(hskp2)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H145 zenon_H169 zenon_H215 zenon_Had zenon_H1d4 zenon_H79 zenon_H7a zenon_H7b zenon_H24b zenon_H24c zenon_H24d zenon_Hab zenon_H132 zenon_H159 zenon_Ha zenon_H14d zenon_H14e zenon_H14f zenon_H13e zenon_H156. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.94 apply (zenon_L82_); trivial. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H157 | zenon_intro zenon_H164 ]. % 0.76/0.94 apply (zenon_L84_); trivial. % 0.76/0.94 apply (zenon_L255_); trivial. % 0.76/0.94 (* end of lemma zenon_L256_ *) % 0.76/0.94 assert (zenon_L257_ : ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(c1_1 (a217))) -> (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37)))))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (c0_1 (a234)) -> (c3_1 (a234)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H25c zenon_H14e zenon_H14f zenon_H14d zenon_H1d0 zenon_H24d zenon_H24c zenon_H24b zenon_H1a7 zenon_Ha zenon_H9c zenon_H135 zenon_H137. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H40 | zenon_intro zenon_H25d ]. % 0.76/0.94 apply (zenon_L253_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H88 | zenon_intro zenon_H70 ]. % 0.76/0.94 apply (zenon_L235_); trivial. % 0.76/0.94 apply (zenon_L240_); trivial. % 0.76/0.94 (* end of lemma zenon_L257_ *) % 0.76/0.94 assert (zenon_L258_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a320)) -> (c2_1 (a320)) -> (~(c0_1 (a320))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(c1_1 (a217))) -> (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37)))))) -> (ndr1_0) -> (c0_1 (a234)) -> (c3_1 (a234)) -> False). % 0.76/0.94 do 0 intro. intros zenon_Hab zenon_H7b zenon_H7a zenon_H79 zenon_H25c zenon_H14e zenon_H14f zenon_H14d zenon_H1d0 zenon_H24d zenon_H24c zenon_H24b zenon_H1a7 zenon_Ha zenon_H135 zenon_H137. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H78 | zenon_intro zenon_Hac ]. % 0.76/0.94 apply (zenon_L33_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H88 | zenon_intro zenon_H9c ]. % 0.76/0.94 apply (zenon_L235_); trivial. % 0.76/0.94 apply (zenon_L257_); trivial. % 0.76/0.94 (* end of lemma zenon_L258_ *) % 0.76/0.94 assert (zenon_L259_ : ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp6)\/(hskp5))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(c1_1 (a217))) -> (forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19)))))) -> (ndr1_0) -> (~(hskp6)) -> (~(hskp5)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H267 zenon_H14e zenon_H14f zenon_H14d zenon_H40 zenon_Ha zenon_H17 zenon_H10c. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H268 ]. % 0.76/0.94 apply (zenon_L253_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H18 | zenon_intro zenon_H10d ]. % 0.76/0.94 exact (zenon_H17 zenon_H18). % 0.76/0.94 exact (zenon_H10c zenon_H10d). % 0.76/0.94 (* end of lemma zenon_L259_ *) % 0.76/0.94 assert (zenon_L260_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c0_1 (a320))) -> (c2_1 (a320)) -> (c3_1 (a320)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp5)) -> (~(hskp6)) -> (~(c1_1 (a217))) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp6)\/(hskp5))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> (c1_1 (a261)) -> (c3_1 (a261)) -> (c2_1 (a261)) -> (c1_1 (a234)) -> (c3_1 (a234)) -> (c0_1 (a234)) -> (ndr1_0) -> (~(hskp18)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H215 zenon_H24b zenon_H24c zenon_H24d zenon_H1d0 zenon_H25c zenon_H79 zenon_H7a zenon_H7b zenon_Hab zenon_H10c zenon_H17 zenon_H14d zenon_H14f zenon_H14e zenon_H267 zenon_H1c7 zenon_H9f zenon_H9e zenon_H9d zenon_H136 zenon_H137 zenon_H135 zenon_Ha zenon_H19f. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H216 ]. % 0.76/0.94 apply (zenon_L258_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H40 | zenon_intro zenon_H9c ]. % 0.76/0.94 apply (zenon_L259_); trivial. % 0.76/0.94 apply (zenon_L243_); trivial. % 0.76/0.94 (* end of lemma zenon_L260_ *) % 0.76/0.94 assert (zenon_L261_ : ((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a217))) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (c3_1 (a320)) -> (c2_1 (a320)) -> (~(c0_1 (a320))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp6)\/(hskp5))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> (~(hskp18)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H144 zenon_H145 zenon_H1d4 zenon_Had zenon_Hab zenon_H14d zenon_H14f zenon_H14e zenon_H25c zenon_H24d zenon_H24c zenon_H24b zenon_H7b zenon_H7a zenon_H79 zenon_H267 zenon_H10c zenon_H17 zenon_H1c7 zenon_H19f zenon_H215 zenon_H13e zenon_H140. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.94 apply (zenon_L75_); trivial. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1d5 ]. % 0.76/0.94 apply (zenon_L260_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hae ]. % 0.76/0.94 apply (zenon_L33_); trivial. % 0.76/0.94 exact (zenon_Had zenon_Hae). % 0.76/0.94 (* end of lemma zenon_L261_ *) % 0.76/0.94 assert (zenon_L262_ : ((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> (~(hskp18)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> (~(c3_1 (a255))) -> (~(c1_1 (a255))) -> (~(c0_1 (a255))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H144 zenon_H145 zenon_H165 zenon_H19f zenon_H1c7 zenon_Hcc zenon_Hcb zenon_Hca zenon_H13e zenon_H140. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.94 apply (zenon_L75_); trivial. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H168 ]. % 0.76/0.94 apply (zenon_L47_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9c | zenon_intro zenon_H13f ]. % 0.76/0.94 apply (zenon_L243_); trivial. % 0.76/0.94 exact (zenon_H13e zenon_H13f). % 0.76/0.94 (* end of lemma zenon_L262_ *) % 0.76/0.94 assert (zenon_L263_ : ((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> (~(hskp18)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> (~(c1_1 (a217))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> False). % 0.76/0.94 do 0 intro. intros zenon_Hd5 zenon_H148 zenon_H19f zenon_H1c7 zenon_H140 zenon_H156 zenon_H13e zenon_H14f zenon_H14e zenon_H14d zenon_H159 zenon_H165 zenon_H169 zenon_H145. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha. zenon_intro zenon_Hd7. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.94 apply (zenon_L88_); trivial. % 0.76/0.94 apply (zenon_L262_); trivial. % 0.76/0.94 (* end of lemma zenon_L263_ *) % 0.76/0.94 assert (zenon_L264_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp6)\/(hskp5))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> (~(c1_1 (a217))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((hskp25)\/(hskp19)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255))))))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H1df zenon_H233 zenon_H2a zenon_Hc1 zenon_H148 zenon_H25c zenon_H267 zenon_H10c zenon_H17 zenon_H1c7 zenon_H140 zenon_H156 zenon_H13e zenon_H14f zenon_H14e zenon_H14d zenon_H159 zenon_Hab zenon_H24d zenon_H24c zenon_H24b zenon_H1d4 zenon_Had zenon_H215 zenon_H169 zenon_H145 zenon_H69 zenon_H165 zenon_H14b. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.76/0.94 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H6a | zenon_intro zenon_Hc5 ]. % 0.76/0.94 apply (zenon_L27_); trivial. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc6. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7a. zenon_intro zenon_Hc7. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.94 apply (zenon_L256_); trivial. % 0.76/0.94 apply (zenon_L261_); trivial. % 0.76/0.94 apply (zenon_L263_); trivial. % 0.76/0.94 apply (zenon_L247_); trivial. % 0.76/0.94 (* end of lemma zenon_L264_ *) % 0.76/0.94 assert (zenon_L265_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp3)\/(hskp6))) -> (~(hskp3)) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((hskp25)\/(hskp19)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (~(c1_1 (a217))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(hskp2)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> (~(hskp6)) -> (~(hskp5)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp6)\/(hskp5))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H66 zenon_H61 zenon_H1b zenon_H14b zenon_H165 zenon_H69 zenon_H145 zenon_H169 zenon_H215 zenon_Had zenon_H1d4 zenon_H24b zenon_H24c zenon_H24d zenon_Hab zenon_H159 zenon_H14d zenon_H14e zenon_H14f zenon_H13e zenon_H156 zenon_H140 zenon_H1c7 zenon_H17 zenon_H10c zenon_H267 zenon_H25c zenon_H148 zenon_Hc1 zenon_H233 zenon_H1df. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.76/0.94 apply (zenon_L264_); trivial. % 0.76/0.94 apply (zenon_L24_); trivial. % 0.76/0.94 (* end of lemma zenon_L265_ *) % 0.76/0.94 assert (zenon_L266_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp12)\/(hskp17))) -> (c0_1 (a226)) -> (~(c2_1 (a226))) -> (~(c1_1 (a226))) -> (ndr1_0) -> (~(hskp12)) -> (~(hskp17)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H269 zenon_Hf3 zenon_Hf2 zenon_Hf1 zenon_Ha zenon_H1 zenon_H2c. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H26a ]. % 0.76/0.94 apply (zenon_L53_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H2 | zenon_intro zenon_H2d ]. % 0.76/0.94 exact (zenon_H1 zenon_H2). % 0.76/0.94 exact (zenon_H2c zenon_H2d). % 0.76/0.94 (* end of lemma zenon_L266_ *) % 0.76/0.94 assert (zenon_L267_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (c0_1 (a226)) -> (~(c2_1 (a226))) -> (~(c1_1 (a226))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37)))))) -> (ndr1_0) -> (~(c2_1 (a248))) -> (c1_1 (a248)) -> (c3_1 (a248)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H23c zenon_Hf3 zenon_Hf2 zenon_Hf1 zenon_H24d zenon_H24c zenon_H24b zenon_H1a7 zenon_Ha zenon_H31 zenon_H33 zenon_H4f. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H23d ]. % 0.76/0.94 apply (zenon_L53_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H88 | zenon_intro zenon_H1c4 ]. % 0.76/0.94 apply (zenon_L235_); trivial. % 0.76/0.94 apply (zenon_L119_); trivial. % 0.76/0.94 (* end of lemma zenon_L267_ *) % 0.76/0.94 assert (zenon_L268_ : (forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67)))))) -> (ndr1_0) -> (forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34)))))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H88 zenon_Ha zenon_Hff zenon_H24c zenon_H24d. % 0.76/0.94 generalize (zenon_H88 (a214)). zenon_intro zenon_H24e. % 0.76/0.94 apply (zenon_imply_s _ _ zenon_H24e); [ zenon_intro zenon_H9 | zenon_intro zenon_H24f ]. % 0.76/0.94 exact (zenon_H9 zenon_Ha). % 0.76/0.94 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H251 | zenon_intro zenon_H250 ]. % 0.76/0.94 generalize (zenon_Hff (a214)). zenon_intro zenon_H26b. % 0.76/0.94 apply (zenon_imply_s _ _ zenon_H26b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26c ]. % 0.76/0.94 exact (zenon_H9 zenon_Ha). % 0.76/0.94 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H257 | zenon_intro zenon_H26d ]. % 0.76/0.94 exact (zenon_H24c zenon_H257). % 0.76/0.94 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H256 | zenon_intro zenon_H258 ]. % 0.76/0.94 exact (zenon_H256 zenon_H251). % 0.76/0.94 exact (zenon_H258 zenon_H24d). % 0.76/0.94 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H257 | zenon_intro zenon_H258 ]. % 0.76/0.94 exact (zenon_H24c zenon_H257). % 0.76/0.94 exact (zenon_H258 zenon_H24d). % 0.76/0.94 (* end of lemma zenon_L268_ *) % 0.76/0.94 assert (zenon_L269_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (c0_1 (a226)) -> (~(c2_1 (a226))) -> (~(c1_1 (a226))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34)))))) -> (ndr1_0) -> (~(c2_1 (a248))) -> (c1_1 (a248)) -> (c3_1 (a248)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H23c zenon_Hf3 zenon_Hf2 zenon_Hf1 zenon_H24d zenon_H24c zenon_Hff zenon_Ha zenon_H31 zenon_H33 zenon_H4f. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H23d ]. % 0.76/0.94 apply (zenon_L53_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H88 | zenon_intro zenon_H1c4 ]. % 0.76/0.94 apply (zenon_L268_); trivial. % 0.76/0.94 apply (zenon_L119_); trivial. % 0.76/0.94 (* end of lemma zenon_L269_ *) % 0.76/0.94 assert (zenon_L270_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (ndr1_0) -> (~(c1_1 (a226))) -> (~(c2_1 (a226))) -> (c0_1 (a226)) -> (~(hskp12)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp12)\/(hskp17))) -> False). % 0.76/0.94 do 0 intro. intros zenon_H53 zenon_H23a zenon_H24b zenon_H24c zenon_H24d zenon_H23c zenon_Ha zenon_Hf1 zenon_Hf2 zenon_Hf3 zenon_H1 zenon_H269. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.76/0.94 apply (zenon_L266_); trivial. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.76/0.94 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H23b ]. % 0.76/0.94 apply (zenon_L267_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hff | zenon_intro zenon_H2 ]. % 0.76/0.94 apply (zenon_L269_); trivial. % 0.76/0.94 exact (zenon_H1 zenon_H2). % 0.76/0.94 (* end of lemma zenon_L270_ *) % 0.76/0.94 assert (zenon_L271_ : ((ndr1_0)/\((c0_1 (a226))/\((~(c1_1 (a226)))/\(~(c2_1 (a226)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> ((forall X95 : zenon_U, ((ndr1_0)->((c3_1 X95)\/((~(c0_1 X95))\/(~(c2_1 X95))))))\/((hskp7)\/(hskp6))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp12)\/(hskp17))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> False). % 0.76/0.94 do 0 intro. intros zenon_Hfa zenon_H116 zenon_H19 zenon_H17 zenon_H15 zenon_H269 zenon_H23c zenon_H24d zenon_H24c zenon_H24b zenon_H23a zenon_H53. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf3. zenon_intro zenon_Hfd. % 0.76/0.94 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.76/0.94 apply (zenon_L270_); trivial. % 0.76/0.94 apply (zenon_L62_); trivial. % 0.76/0.94 (* end of lemma zenon_L271_ *) % 0.76/0.94 assert (zenon_L272_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (c3_1 (a225)) -> (~(c2_1 (a225))) -> (~(c0_1 (a225))) -> (c3_1 (a248)) -> (c1_1 (a248)) -> (~(c2_1 (a248))) -> (ndr1_0) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c1_1 (a226))) -> (~(c2_1 (a226))) -> (c0_1 (a226)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(hskp26)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H149 zenon_He9 zenon_He8 zenon_He7 zenon_H4f zenon_H33 zenon_H31 zenon_Ha zenon_H24c zenon_H24d zenon_Hf1 zenon_Hf2 zenon_Hf3 zenon_H23c zenon_H132. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ]. % 0.76/0.94 apply (zenon_L52_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hff | zenon_intro zenon_H133 ]. % 0.76/0.94 apply (zenon_L269_); trivial. % 0.76/0.94 exact (zenon_H132 zenon_H133). % 0.76/0.94 (* end of lemma zenon_L272_ *) % 0.76/0.94 assert (zenon_L273_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a234)) -> (c0_1 (a234)) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp9)) -> (~(c0_1 (a320))) -> (c2_1 (a320)) -> (c3_1 (a320)) -> (~(c1_1 (a217))) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp10))) -> (c1_1 (a261)) -> (c3_1 (a261)) -> (c2_1 (a261)) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.76/0.94 do 0 intro. intros zenon_H215 zenon_H137 zenon_H135 zenon_H24b zenon_H24c zenon_H24d zenon_H1d0 zenon_H25c zenon_Hab zenon_Had zenon_H79 zenon_H7a zenon_H7b zenon_H14d zenon_H14f zenon_H14e zenon_H1d4 zenon_H1f1 zenon_H9f zenon_H9e zenon_H9d zenon_H11a zenon_H119 zenon_H118 zenon_Ha zenon_H2a. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H216 ]. % 0.76/0.94 apply (zenon_L258_); trivial. % 0.76/0.94 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H40 | zenon_intro zenon_H9c ]. % 0.76/0.94 apply (zenon_L254_); trivial. % 0.76/0.94 apply (zenon_L151_); trivial. % 0.76/0.94 (* end of lemma zenon_L273_ *) % 0.76/0.94 assert (zenon_L274_ : ((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261))))) -> (~(hskp10)) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp10))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(c1_1 (a217))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (c0_1 (a234)) -> (c3_1 (a234)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a320)) -> (c2_1 (a320)) -> (~(c0_1 (a320))) -> (~(hskp9)) -> False). % 0.76/0.95 do 0 intro. intros zenon_Haf zenon_H2a zenon_H118 zenon_H119 zenon_H11a zenon_H1f1 zenon_H1d4 zenon_H14e zenon_H14f zenon_H14d zenon_Hab zenon_H25c zenon_H24d zenon_H24c zenon_H24b zenon_H135 zenon_H137 zenon_H215 zenon_H7b zenon_H7a zenon_H79 zenon_Had. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1d5 ]. % 0.76/0.95 apply (zenon_L273_); trivial. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hae ]. % 0.76/0.95 apply (zenon_L33_); trivial. % 0.76/0.95 exact (zenon_Had zenon_Hae). % 0.76/0.95 (* end of lemma zenon_L274_ *) % 0.76/0.95 assert (zenon_L275_ : ((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> (~(hskp10)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp10))) -> (~(c3_1 (a255))) -> (~(c1_1 (a255))) -> (~(c0_1 (a255))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> False). % 0.76/0.95 do 0 intro. intros zenon_H144 zenon_H145 zenon_H165 zenon_H118 zenon_H119 zenon_H11a zenon_H2a zenon_H1f1 zenon_Hcc zenon_Hcb zenon_Hca zenon_H13e zenon_H140. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.95 apply (zenon_L75_); trivial. % 0.76/0.95 apply (zenon_L152_); trivial. % 0.76/0.95 (* end of lemma zenon_L275_ *) % 0.76/0.95 assert (zenon_L276_ : ((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> (~(hskp10)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> (~(c1_1 (a217))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> False). % 0.76/0.95 do 0 intro. intros zenon_Hd5 zenon_H148 zenon_H118 zenon_H119 zenon_H11a zenon_H2a zenon_H1f1 zenon_H140 zenon_H156 zenon_H13e zenon_H14f zenon_H14e zenon_H14d zenon_H159 zenon_H165 zenon_H169 zenon_H145. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha. zenon_intro zenon_Hd7. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.95 apply (zenon_L88_); trivial. % 0.76/0.95 apply (zenon_L275_); trivial. % 0.76/0.95 (* end of lemma zenon_L276_ *) % 0.76/0.95 assert (zenon_L277_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((hskp25)\/(hskp19)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (~(c1_1 (a217))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(hskp2)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> (~(hskp10)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp10))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> False). % 0.76/0.95 do 0 intro. intros zenon_H14b zenon_H165 zenon_H69 zenon_H145 zenon_H169 zenon_H215 zenon_Had zenon_H1d4 zenon_H24b zenon_H24c zenon_H24d zenon_Hab zenon_H159 zenon_H14d zenon_H14e zenon_H14f zenon_H13e zenon_H156 zenon_H140 zenon_H118 zenon_H119 zenon_H11a zenon_H2a zenon_H1f1 zenon_H25c zenon_H148 zenon_Hc1. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.76/0.95 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H6a | zenon_intro zenon_Hc5 ]. % 0.76/0.95 apply (zenon_L27_); trivial. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc6. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7a. zenon_intro zenon_Hc7. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.95 apply (zenon_L256_); trivial. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.95 apply (zenon_L75_); trivial. % 0.76/0.95 apply (zenon_L274_); trivial. % 0.76/0.95 apply (zenon_L276_); trivial. % 0.76/0.95 (* end of lemma zenon_L277_ *) % 0.76/0.95 assert (zenon_L278_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (c1_1 (a274)) -> (~(c3_1 (a274))) -> (~(c0_1 (a274))) -> (ndr1_0) -> (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18))))) -> (~(hskp12)) -> False). % 0.76/0.95 do 0 intro. intros zenon_H23a zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_Ha zenon_H1d0 zenon_H1. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H23b ]. % 0.76/0.95 apply (zenon_L110_); trivial. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hff | zenon_intro zenon_H2 ]. % 0.76/0.95 apply (zenon_L127_); trivial. % 0.76/0.95 exact (zenon_H1 zenon_H2). % 0.76/0.95 (* end of lemma zenon_L278_ *) % 0.76/0.95 assert (zenon_L279_ : ((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp6)\/(hskp5))) -> (~(hskp12)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(hskp6)) -> (~(hskp5)) -> False). % 0.76/0.95 do 0 intro. intros zenon_H1bb zenon_H267 zenon_H1 zenon_H23a zenon_H17 zenon_H10c. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Ha. zenon_intro zenon_H1bd. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H1aa. zenon_intro zenon_H1be. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H268 ]. % 0.76/0.95 apply (zenon_L278_); trivial. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H18 | zenon_intro zenon_H10d ]. % 0.76/0.95 exact (zenon_H17 zenon_H18). % 0.76/0.95 exact (zenon_H10c zenon_H10d). % 0.76/0.95 (* end of lemma zenon_L279_ *) % 0.76/0.95 assert (zenon_L280_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp6)\/(hskp5))) -> (~(hskp5)) -> (~(hskp6)) -> (~(hskp12)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(hskp20)) -> (~(hskp4)) -> ((hskp20)\/((hskp23)\/(hskp4))) -> False). % 0.76/0.95 do 0 intro. intros zenon_H1c0 zenon_H267 zenon_H10c zenon_H17 zenon_H1 zenon_H23a zenon_H16d zenon_Hd3 zenon_H1a5. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1bb ]. % 0.76/0.95 apply (zenon_L109_); trivial. % 0.76/0.95 apply (zenon_L279_); trivial. % 0.76/0.95 (* end of lemma zenon_L280_ *) % 0.76/0.95 assert (zenon_L281_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp6)\/(hskp5))) -> (~(hskp5)) -> (~(hskp6)) -> (~(hskp12)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(hskp4)) -> ((hskp20)\/((hskp23)\/(hskp4))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> (~(hskp17)) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257))))))) -> False). % 0.76/0.95 do 0 intro. intros zenon_H1df zenon_H233 zenon_H2a zenon_H24d zenon_H24c zenon_H24b zenon_H1c0 zenon_H267 zenon_H10c zenon_H17 zenon_H1 zenon_H23a zenon_Hd3 zenon_H1a5 zenon_H1a1 zenon_H2c zenon_H174 zenon_H175 zenon_H176 zenon_H94 zenon_H145 zenon_H1c1. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H16d | zenon_intro zenon_H190 ]. % 0.76/0.95 apply (zenon_L280_); trivial. % 0.76/0.95 apply (zenon_L107_); trivial. % 0.76/0.95 apply (zenon_L247_); trivial. % 0.76/0.95 (* end of lemma zenon_L281_ *) % 0.76/0.95 assert (zenon_L282_ : ((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp12)) -> (~(c0_1 (a274))) -> (~(c3_1 (a274))) -> (c1_1 (a274)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(hskp9)) -> False). % 0.76/0.95 do 0 intro. intros zenon_Hc5 zenon_H1d4 zenon_H1 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H23a zenon_Had. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc6. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7a. zenon_intro zenon_Hc7. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1d5 ]. % 0.76/0.95 apply (zenon_L278_); trivial. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hae ]. % 0.76/0.95 apply (zenon_L33_); trivial. % 0.76/0.95 exact (zenon_Had zenon_Hae). % 0.76/0.95 (* end of lemma zenon_L282_ *) % 0.76/0.95 assert (zenon_L283_ : ((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp12)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(hskp19)) -> ((hskp25)\/(hskp19)) -> False). % 0.76/0.95 do 0 intro. intros zenon_H1bb zenon_Hc1 zenon_H1d4 zenon_Had zenon_H1 zenon_H23a zenon_H67 zenon_H69. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Ha. zenon_intro zenon_H1bd. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H1aa. zenon_intro zenon_H1be. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 0.76/0.95 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H6a | zenon_intro zenon_Hc5 ]. % 0.76/0.95 apply (zenon_L27_); trivial. % 0.76/0.95 apply (zenon_L282_); trivial. % 0.76/0.95 (* end of lemma zenon_L283_ *) % 0.76/0.95 assert (zenon_L284_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp12)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(hskp19)) -> ((hskp25)\/(hskp19)) -> (~(hskp20)) -> (~(hskp4)) -> ((hskp20)\/((hskp23)\/(hskp4))) -> False). % 0.76/0.95 do 0 intro. intros zenon_H1c0 zenon_Hc1 zenon_H1d4 zenon_Had zenon_H1 zenon_H23a zenon_H67 zenon_H69 zenon_H16d zenon_Hd3 zenon_H1a5. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1bb ]. % 0.76/0.95 apply (zenon_L109_); trivial. % 0.76/0.95 apply (zenon_L283_); trivial. % 0.76/0.95 (* end of lemma zenon_L284_ *) % 0.76/0.95 assert (zenon_L285_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a248)) -> (c1_1 (a248)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> ((hskp20)\/((hskp23)\/(hskp4))) -> (~(hskp4)) -> ((hskp25)\/(hskp19)) -> (~(hskp19)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> False). % 0.76/0.95 do 0 intro. intros zenon_H1c1 zenon_H145 zenon_H140 zenon_H13e zenon_H4f zenon_H33 zenon_H94 zenon_H176 zenon_H175 zenon_H174 zenon_Hb1 zenon_H1a5 zenon_Hd3 zenon_H69 zenon_H67 zenon_H23a zenon_H1 zenon_Had zenon_H1d4 zenon_Hc1 zenon_H1c0. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H16d | zenon_intro zenon_H190 ]. % 0.76/0.95 apply (zenon_L284_); trivial. % 0.76/0.95 apply (zenon_L124_); trivial. % 0.76/0.95 (* end of lemma zenon_L285_ *) % 0.76/0.95 assert (zenon_L286_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> (~(c3_1 (a255))) -> (~(c1_1 (a255))) -> (~(c0_1 (a255))) -> (~(hskp26)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (ndr1_0) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp5))) -> False). % 0.76/0.95 do 0 intro. intros zenon_H145 zenon_H169 zenon_H165 zenon_Hcc zenon_Hcb zenon_Hca zenon_H132 zenon_H159 zenon_H140 zenon_H13e zenon_H176 zenon_H175 zenon_H174 zenon_Ha zenon_H10c zenon_H185. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.95 apply (zenon_L98_); trivial. % 0.76/0.95 apply (zenon_L87_); trivial. % 0.76/0.95 (* end of lemma zenon_L286_ *) % 0.76/0.95 assert (zenon_L287_ : ((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a257)) -> (c0_1 (a257)) -> (~(c3_1 (a257))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> False). % 0.76/0.95 do 0 intro. intros zenon_H144 zenon_H145 zenon_H94 zenon_H189 zenon_H188 zenon_H187 zenon_H176 zenon_H175 zenon_H174 zenon_H13e zenon_H140. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.95 apply (zenon_L75_); trivial. % 0.76/0.95 apply (zenon_L100_); trivial. % 0.76/0.95 (* end of lemma zenon_L287_ *) % 0.76/0.95 assert (zenon_L288_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> ((forall X95 : zenon_U, ((ndr1_0)->((c3_1 X95)\/((~(c0_1 X95))\/(~(c2_1 X95))))))\/((hskp7)\/(hskp6))) -> (~(hskp7)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp6)\/(hskp5))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(hskp4)) -> ((hskp20)\/((hskp23)\/(hskp4))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> ((hskp25)\/(hskp19)) -> (~(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> False). % 0.76/0.95 do 0 intro. intros zenon_H116 zenon_H19 zenon_H15 zenon_H1df zenon_H233 zenon_H2a zenon_H24d zenon_H24c zenon_H24b zenon_H1c0 zenon_H267 zenon_H10c zenon_H17 zenon_H23a zenon_Hd3 zenon_H1a5 zenon_H1a1 zenon_H174 zenon_H175 zenon_H176 zenon_H94 zenon_H145 zenon_H1c1 zenon_H140 zenon_H13e zenon_Hb1 zenon_H69 zenon_Had zenon_H1d4 zenon_Hc1 zenon_H169 zenon_H165 zenon_H159 zenon_H185 zenon_H148 zenon_H14b zenon_H53. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.76/0.95 apply (zenon_L281_); trivial. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.76/0.95 apply (zenon_L285_); trivial. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha. zenon_intro zenon_Hd7. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H16d | zenon_intro zenon_H190 ]. % 0.76/0.95 apply (zenon_L280_); trivial. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_Ha. zenon_intro zenon_H191. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H188. zenon_intro zenon_H192. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H189. zenon_intro zenon_H187. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.95 apply (zenon_L286_); trivial. % 0.76/0.95 apply (zenon_L287_); trivial. % 0.76/0.95 apply (zenon_L62_); trivial. % 0.76/0.95 (* end of lemma zenon_L288_ *) % 0.76/0.95 assert (zenon_L289_ : (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (ndr1_0) -> (~(c0_1 (a231))) -> (forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c1_1 X27)))))) -> (c1_1 (a231)) -> (c3_1 (a231)) -> False). % 0.76/0.95 do 0 intro. intros zenon_H78 zenon_Ha zenon_H58 zenon_H32 zenon_H59 zenon_H5a. % 0.76/0.95 generalize (zenon_H78 (a231)). zenon_intro zenon_H26e. % 0.76/0.95 apply (zenon_imply_s _ _ zenon_H26e); [ zenon_intro zenon_H9 | zenon_intro zenon_H26f ]. % 0.76/0.95 exact (zenon_H9 zenon_Ha). % 0.76/0.95 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H5e | zenon_intro zenon_H1f6 ]. % 0.76/0.95 exact (zenon_H58 zenon_H5e). % 0.76/0.95 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H5f ]. % 0.76/0.95 generalize (zenon_H32 (a231)). zenon_intro zenon_H270. % 0.76/0.95 apply (zenon_imply_s _ _ zenon_H270); [ zenon_intro zenon_H9 | zenon_intro zenon_H271 ]. % 0.76/0.95 exact (zenon_H9 zenon_Ha). % 0.76/0.95 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H5e | zenon_intro zenon_H272 ]. % 0.76/0.95 exact (zenon_H58 zenon_H5e). % 0.76/0.95 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H60 ]. % 0.76/0.95 exact (zenon_H1f7 zenon_H1f3). % 0.76/0.95 exact (zenon_H60 zenon_H59). % 0.76/0.95 exact (zenon_H5f zenon_H5a). % 0.76/0.95 (* end of lemma zenon_L289_ *) % 0.76/0.95 assert (zenon_L290_ : ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c1_1 X27))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(hskp8))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (~(c0_1 (a231))) -> (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.76/0.95 do 0 intro. intros zenon_H4b zenon_H5a zenon_H59 zenon_H58 zenon_H78 zenon_H43 zenon_H42 zenon_H41 zenon_Ha zenon_H3e. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H32 | zenon_intro zenon_H50 ]. % 0.76/0.95 apply (zenon_L289_); trivial. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ]. % 0.76/0.95 apply (zenon_L19_); trivial. % 0.76/0.95 exact (zenon_H3e zenon_H3f). % 0.76/0.95 (* end of lemma zenon_L290_ *) % 0.76/0.95 assert (zenon_L291_ : ((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp12)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(hskp8)) -> (~(c1_1 (a245))) -> (~(c3_1 (a245))) -> (c0_1 (a245)) -> (~(c0_1 (a231))) -> (c1_1 (a231)) -> (c3_1 (a231)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c1_1 X27))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(hskp8))) -> (~(hskp9)) -> False). % 0.76/0.95 do 0 intro. intros zenon_H1bb zenon_H1d4 zenon_H1 zenon_H23a zenon_H3e zenon_H41 zenon_H42 zenon_H43 zenon_H58 zenon_H59 zenon_H5a zenon_H4b zenon_Had. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Ha. zenon_intro zenon_H1bd. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H1aa. zenon_intro zenon_H1be. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1d5 ]. % 0.76/0.95 apply (zenon_L278_); trivial. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hae ]. % 0.76/0.95 apply (zenon_L290_); trivial. % 0.76/0.95 exact (zenon_Had zenon_Hae). % 0.76/0.95 (* end of lemma zenon_L291_ *) % 0.76/0.95 assert (zenon_L292_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a231))) -> (c1_1 (a231)) -> (c3_1 (a231)) -> (~(c1_1 (a245))) -> (~(c3_1 (a245))) -> (c0_1 (a245)) -> (~(hskp8)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c1_1 X27))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(hskp8))) -> (~(hskp12)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(hskp20)) -> (~(hskp4)) -> ((hskp20)\/((hskp23)\/(hskp4))) -> False). % 0.76/0.95 do 0 intro. intros zenon_H1c0 zenon_H1d4 zenon_Had zenon_H58 zenon_H59 zenon_H5a zenon_H41 zenon_H42 zenon_H43 zenon_H3e zenon_H4b zenon_H1 zenon_H23a zenon_H16d zenon_Hd3 zenon_H1a5. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1bb ]. % 0.76/0.95 apply (zenon_L109_); trivial. % 0.76/0.95 apply (zenon_L291_); trivial. % 0.76/0.95 (* end of lemma zenon_L292_ *) % 0.76/0.95 assert (zenon_L293_ : (~(hskp14)) -> (hskp14) -> False). % 0.76/0.95 do 0 intro. intros zenon_H273 zenon_H274. % 0.76/0.95 exact (zenon_H273 zenon_H274). % 0.76/0.95 (* end of lemma zenon_L293_ *) % 0.76/0.95 assert (zenon_L294_ : ((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp14))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (~(hskp14)) -> False). % 0.76/0.95 do 0 intro. intros zenon_H190 zenon_H275 zenon_H24d zenon_H24c zenon_H24b zenon_H273. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_Ha. zenon_intro zenon_H191. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H188. zenon_intro zenon_H192. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H189. zenon_intro zenon_H187. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H22e | zenon_intro zenon_H276 ]. % 0.76/0.95 apply (zenon_L246_); trivial. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H82 | zenon_intro zenon_H274 ]. % 0.76/0.95 apply (zenon_L99_); trivial. % 0.76/0.95 exact (zenon_H273 zenon_H274). % 0.76/0.95 (* end of lemma zenon_L294_ *) % 0.76/0.95 assert (zenon_L295_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> ((hskp20)\/((hskp23)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c1_1 X27))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (~(c0_1 (a231))) -> (~(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> (~(hskp12)) -> (~(hskp13)) -> ((hskp12)\/((hskp16)\/(hskp13))) -> False). % 0.76/0.95 do 0 intro. intros zenon_H52 zenon_H1c1 zenon_H275 zenon_H273 zenon_H24d zenon_H24c zenon_H24b zenon_H1a5 zenon_Hd3 zenon_H23a zenon_H4b zenon_H3e zenon_H5a zenon_H59 zenon_H58 zenon_Had zenon_H1d4 zenon_H1c0 zenon_H1 zenon_H1fb zenon_H1fd. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.76/0.95 apply (zenon_L171_); trivial. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H16d | zenon_intro zenon_H190 ]. % 0.76/0.95 apply (zenon_L292_); trivial. % 0.76/0.95 apply (zenon_L294_); trivial. % 0.76/0.95 (* end of lemma zenon_L295_ *) % 0.76/0.95 assert (zenon_L296_ : (forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60)))))) -> (ndr1_0) -> (~(c1_1 (a241))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2)))))) -> (~(c0_1 (a241))) -> (c3_1 (a241)) -> False). % 0.76/0.95 do 0 intro. intros zenon_H8c zenon_Ha zenon_H277 zenon_He6 zenon_H278 zenon_H279. % 0.76/0.95 generalize (zenon_H8c (a241)). zenon_intro zenon_H27a. % 0.76/0.95 apply (zenon_imply_s _ _ zenon_H27a); [ zenon_intro zenon_H9 | zenon_intro zenon_H27b ]. % 0.76/0.95 exact (zenon_H9 zenon_Ha). % 0.76/0.95 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H27d | zenon_intro zenon_H27c ]. % 0.76/0.95 exact (zenon_H277 zenon_H27d). % 0.76/0.95 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H27f | zenon_intro zenon_H27e ]. % 0.76/0.95 generalize (zenon_He6 (a241)). zenon_intro zenon_H280. % 0.76/0.95 apply (zenon_imply_s _ _ zenon_H280); [ zenon_intro zenon_H9 | zenon_intro zenon_H281 ]. % 0.76/0.95 exact (zenon_H9 zenon_Ha). % 0.76/0.95 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H283 | zenon_intro zenon_H282 ]. % 0.76/0.95 exact (zenon_H278 zenon_H283). % 0.76/0.95 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H284 | zenon_intro zenon_H27e ]. % 0.76/0.95 exact (zenon_H27f zenon_H284). % 0.76/0.95 exact (zenon_H27e zenon_H279). % 0.76/0.95 exact (zenon_H27e zenon_H279). % 0.76/0.95 (* end of lemma zenon_L296_ *) % 0.76/0.95 assert (zenon_L297_ : ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (~(c0_1 (a231))) -> (c3_1 (a241)) -> (~(c0_1 (a241))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2)))))) -> (~(c1_1 (a241))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.76/0.95 do 0 intro. intros zenon_Hb1 zenon_H5a zenon_H59 zenon_H58 zenon_H279 zenon_H278 zenon_He6 zenon_H277 zenon_Ha zenon_Had. % 0.76/0.95 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H57 | zenon_intro zenon_Hb5 ]. % 0.76/0.95 apply (zenon_L22_); trivial. % 0.76/0.95 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H8c | zenon_intro zenon_Hae ]. % 0.76/0.95 apply (zenon_L296_); trivial. % 0.76/0.95 exact (zenon_Had zenon_Hae). % 0.76/0.95 (* end of lemma zenon_L297_ *) % 0.76/0.95 assert (zenon_L298_ : (forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62)))))) -> (ndr1_0) -> (~(c2_1 (a216))) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> False). % 0.76/0.95 do 0 intro. intros zenon_Hb6 zenon_Ha zenon_H174 zenon_H70 zenon_H175 zenon_H176. % 0.76/0.95 generalize (zenon_Hb6 (a216)). zenon_intro zenon_H285. % 0.76/0.95 apply (zenon_imply_s _ _ zenon_H285); [ zenon_intro zenon_H9 | zenon_intro zenon_H286 ]. % 0.76/0.95 exact (zenon_H9 zenon_Ha). % 0.76/0.95 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H17a | zenon_intro zenon_H287 ]. % 0.76/0.95 exact (zenon_H174 zenon_H17a). % 0.76/0.95 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H17c | zenon_intro zenon_H181 ]. % 0.76/0.95 apply (zenon_L220_); trivial. % 0.76/0.95 exact (zenon_H181 zenon_H176). % 0.76/0.95 (* end of lemma zenon_L298_ *) % 0.76/0.95 assert (zenon_L299_ : ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((hskp26)\/(hskp9))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (~(c2_1 (a216))) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp9)) -> False). % 0.76/0.95 do 0 intro. intros zenon_H288 zenon_H176 zenon_H175 zenon_H70 zenon_H174 zenon_Ha zenon_H132 zenon_Had. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H289 ]. % 0.76/0.95 apply (zenon_L298_); trivial. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H133 | zenon_intro zenon_Hae ]. % 0.76/0.95 exact (zenon_H132 zenon_H133). % 0.76/0.95 exact (zenon_Had zenon_Hae). % 0.76/0.95 (* end of lemma zenon_L299_ *) % 0.76/0.95 assert (zenon_L300_ : ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((hskp26)\/(hskp9))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp9)) -> False). % 0.76/0.95 do 0 intro. intros zenon_H25c zenon_H43 zenon_H42 zenon_H41 zenon_H24d zenon_H24c zenon_Hff zenon_H288 zenon_H176 zenon_H175 zenon_H174 zenon_Ha zenon_H132 zenon_Had. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H40 | zenon_intro zenon_H25d ]. % 0.76/0.95 apply (zenon_L19_); trivial. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H88 | zenon_intro zenon_H70 ]. % 0.76/0.95 apply (zenon_L268_); trivial. % 0.76/0.95 apply (zenon_L299_); trivial. % 0.76/0.95 (* end of lemma zenon_L300_ *) % 0.76/0.95 assert (zenon_L301_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (~(c1_1 (a241))) -> (~(c0_1 (a241))) -> (c3_1 (a241)) -> (~(c0_1 (a231))) -> (c1_1 (a231)) -> (c3_1 (a231)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> (ndr1_0) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((hskp26)\/(hskp9))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c1_1 (a245))) -> (~(c3_1 (a245))) -> (c0_1 (a245)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp26)) -> False). % 0.76/0.95 do 0 intro. intros zenon_H149 zenon_H277 zenon_H278 zenon_H279 zenon_H58 zenon_H59 zenon_H5a zenon_Hb1 zenon_Had zenon_Ha zenon_H174 zenon_H175 zenon_H176 zenon_H288 zenon_H24c zenon_H24d zenon_H41 zenon_H42 zenon_H43 zenon_H25c zenon_H132. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ]. % 0.76/0.95 apply (zenon_L297_); trivial. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hff | zenon_intro zenon_H133 ]. % 0.76/0.95 apply (zenon_L300_); trivial. % 0.76/0.95 exact (zenon_H132 zenon_H133). % 0.76/0.95 (* end of lemma zenon_L301_ *) % 0.76/0.95 assert (zenon_L302_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (c3_1 (a234)) -> (c0_1 (a234)) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c1_1 (a245))) -> (~(c3_1 (a245))) -> (c0_1 (a245)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a252)) -> (c0_1 (a252)) -> (~(c1_1 (a252))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.76/0.95 do 0 intro. intros zenon_H1bc zenon_H137 zenon_H135 zenon_H9c zenon_H24b zenon_H24c zenon_H24d zenon_H41 zenon_H42 zenon_H43 zenon_H25c zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_Ha zenon_H16f. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1bf ]. % 0.76/0.95 apply (zenon_L241_); trivial. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H170 ]. % 0.76/0.95 apply (zenon_L111_); trivial. % 0.76/0.95 exact (zenon_H16f zenon_H170). % 0.76/0.95 (* end of lemma zenon_L302_ *) % 0.76/0.95 assert (zenon_L303_ : ((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> (~(c3_1 (a255))) -> (~(c1_1 (a255))) -> (~(c0_1 (a255))) -> (~(hskp11)) -> (~(c1_1 (a252))) -> (c0_1 (a252)) -> (c2_1 (a252)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (~(hskp2)) -> False). % 0.76/0.95 do 0 intro. intros zenon_H144 zenon_H165 zenon_Hcc zenon_Hcb zenon_Hca zenon_H16f zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_H25c zenon_H43 zenon_H42 zenon_H41 zenon_H24d zenon_H24c zenon_H24b zenon_H1bc zenon_H13e. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H168 ]. % 0.76/0.95 apply (zenon_L47_); trivial. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9c | zenon_intro zenon_H13f ]. % 0.76/0.95 apply (zenon_L302_); trivial. % 0.76/0.95 exact (zenon_H13e zenon_H13f). % 0.76/0.95 (* end of lemma zenon_L303_ *) % 0.76/0.95 assert (zenon_L304_ : ((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a214))) -> (~(c1_1 (a252))) -> (c0_1 (a252)) -> (c2_1 (a252)) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a241)) -> (~(c0_1 (a241))) -> (~(c1_1 (a241))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (~(c0_1 (a231))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((hskp26)\/(hskp9))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> False). % 0.76/0.95 do 0 intro. intros zenon_Hd5 zenon_H148 zenon_H165 zenon_H13e zenon_H24b zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_H16f zenon_H1bc zenon_Hb1 zenon_Had zenon_H279 zenon_H278 zenon_H277 zenon_H5a zenon_H59 zenon_H58 zenon_H25c zenon_H174 zenon_H175 zenon_H176 zenon_H288 zenon_H24d zenon_H24c zenon_H43 zenon_H42 zenon_H41 zenon_H149. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha. zenon_intro zenon_Hd7. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.95 apply (zenon_L301_); trivial. % 0.76/0.95 apply (zenon_L303_); trivial. % 0.76/0.95 (* end of lemma zenon_L304_ *) % 0.76/0.95 assert (zenon_L305_ : ((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a214))) -> (c3_1 (a241)) -> (~(c0_1 (a241))) -> (~(c1_1 (a241))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((hskp26)\/(hskp9))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp20)\/((hskp23)\/(hskp4))) -> ((hskp25)\/(hskp19)) -> (~(c0_1 (a231))) -> (c1_1 (a231)) -> (c3_1 (a231)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (~(hskp9)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257))))))) -> False). % 0.76/0.95 do 0 intro. intros zenon_H1e0 zenon_H14b zenon_H148 zenon_H165 zenon_H13e zenon_H24b zenon_H279 zenon_H278 zenon_H277 zenon_H25c zenon_H288 zenon_H24d zenon_H24c zenon_H43 zenon_H42 zenon_H41 zenon_H149 zenon_H1c0 zenon_H1bc zenon_H16f zenon_Hd3 zenon_H1a5 zenon_H69 zenon_H58 zenon_H59 zenon_H5a zenon_H94 zenon_H176 zenon_H175 zenon_H174 zenon_Had zenon_Hb1 zenon_Hc1 zenon_H1c1. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_Ha. zenon_intro zenon_H1e1. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_H1b3. zenon_intro zenon_H1e2. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H1b4. zenon_intro zenon_H1b2. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.76/0.95 apply (zenon_L117_); trivial. % 0.76/0.95 apply (zenon_L304_); trivial. % 0.76/0.95 (* end of lemma zenon_L305_ *) % 0.76/0.95 assert (zenon_L306_ : ((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> (~(c0_1 (a214))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (c3_1 (a241)) -> (~(c0_1 (a241))) -> (~(c1_1 (a241))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((hskp26)\/(hskp9))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp12)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> ((hskp25)\/(hskp19)) -> (~(hskp4)) -> ((hskp20)\/((hskp23)\/(hskp4))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257))))))) -> (~(c0_1 (a231))) -> (c1_1 (a231)) -> (c3_1 (a231)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> False). % 0.76/0.95 do 0 intro. intros zenon_H4a zenon_H1df zenon_H14b zenon_H148 zenon_H165 zenon_H24b zenon_H16f zenon_H1bc zenon_H279 zenon_H278 zenon_H277 zenon_H25c zenon_H288 zenon_H24d zenon_H24c zenon_H43 zenon_H42 zenon_H41 zenon_H149 zenon_H1c0 zenon_Hc1 zenon_H1d4 zenon_Had zenon_H1 zenon_H23a zenon_H69 zenon_Hd3 zenon_H1a5 zenon_Hb1 zenon_H174 zenon_H175 zenon_H176 zenon_H94 zenon_H13e zenon_H140 zenon_H145 zenon_H1c1 zenon_H58 zenon_H59 zenon_H5a zenon_H1c7. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.76/0.95 apply (zenon_L120_); trivial. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_Ha. zenon_intro zenon_H1e1. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_H1b3. zenon_intro zenon_H1e2. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H1b4. zenon_intro zenon_H1b2. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.76/0.95 apply (zenon_L285_); trivial. % 0.76/0.95 apply (zenon_L304_); trivial. % 0.76/0.95 (* end of lemma zenon_L306_ *) % 0.76/0.95 assert (zenon_L307_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (~(c0_1 (a231))) -> ((hskp20)\/((hskp23)\/(hskp4))) -> (~(hskp4)) -> ((hskp25)\/(hskp19)) -> (~(hskp19)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> False). % 0.76/0.95 do 0 intro. intros zenon_H1c1 zenon_Hb1 zenon_H174 zenon_H175 zenon_H176 zenon_H94 zenon_H5a zenon_H59 zenon_H58 zenon_H1a5 zenon_Hd3 zenon_H69 zenon_H67 zenon_H23a zenon_H1 zenon_Had zenon_H1d4 zenon_Hc1 zenon_H1c0. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H16d | zenon_intro zenon_H190 ]. % 0.76/0.95 apply (zenon_L284_); trivial. % 0.76/0.95 apply (zenon_L116_); trivial. % 0.76/0.95 (* end of lemma zenon_L307_ *) % 0.76/0.95 assert (zenon_L308_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(c0_1 (a214))) -> (~(c1_1 (a245))) -> (~(c3_1 (a245))) -> (c0_1 (a245)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c1_1 (a234)) -> (c3_1 (a234)) -> (c0_1 (a234)) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (~(c2_1 (a236))) -> (c0_1 (a236)) -> (~(c3_1 (a236))) -> (c1_1 (a261)) -> (c2_1 (a261)) -> (c3_1 (a261)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(hskp12)) -> False). % 0.76/0.95 do 0 intro. intros zenon_H23a zenon_H24b zenon_H41 zenon_H42 zenon_H43 zenon_H25c zenon_H136 zenon_H137 zenon_H135 zenon_H9c zenon_Ha zenon_H24c zenon_H24d zenon_H94 zenon_H176 zenon_H175 zenon_H174 zenon_H193 zenon_H195 zenon_H194 zenon_H9f zenon_H9d zenon_H9e zenon_H23c zenon_H1. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H23b ]. % 0.76/0.95 apply (zenon_L241_); trivial. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hff | zenon_intro zenon_H2 ]. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H23d ]. % 0.76/0.95 apply (zenon_L131_); trivial. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H88 | zenon_intro zenon_H1c4 ]. % 0.76/0.95 apply (zenon_L268_); trivial. % 0.76/0.95 apply (zenon_L180_); trivial. % 0.76/0.95 exact (zenon_H1 zenon_H2). % 0.76/0.95 (* end of lemma zenon_L308_ *) % 0.76/0.95 assert (zenon_L309_ : ((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(c3_1 (a236))) -> (c0_1 (a236)) -> (~(c2_1 (a236))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp12)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(c3_1 (a255))) -> (~(c1_1 (a255))) -> (~(c0_1 (a255))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> False). % 0.76/0.95 do 0 intro. intros zenon_H144 zenon_H145 zenon_H165 zenon_H25c zenon_H24d zenon_H24c zenon_H24b zenon_H43 zenon_H42 zenon_H41 zenon_H23c zenon_H174 zenon_H175 zenon_H176 zenon_H194 zenon_H195 zenon_H193 zenon_H94 zenon_H1 zenon_H23a zenon_Hcc zenon_Hcb zenon_Hca zenon_H13e zenon_H140. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.95 apply (zenon_L75_); trivial. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H168 ]. % 0.76/0.95 apply (zenon_L47_); trivial. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9c | zenon_intro zenon_H13f ]. % 0.76/0.95 apply (zenon_L308_); trivial. % 0.76/0.95 exact (zenon_H13e zenon_H13f). % 0.76/0.95 (* end of lemma zenon_L309_ *) % 0.76/0.95 assert (zenon_L310_ : ((ndr1_0)/\((c3_1 (a241))/\((~(c0_1 (a241)))/\(~(c1_1 (a241)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> (~(c0_1 (a214))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(c3_1 (a236))) -> (c0_1 (a236)) -> (~(c2_1 (a236))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((hskp26)\/(hskp9))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> ((hskp25)\/(hskp19)) -> (~(hskp4)) -> ((hskp20)\/((hskp23)\/(hskp4))) -> (~(c0_1 (a231))) -> (c1_1 (a231)) -> (c3_1 (a231)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257))))))) -> (~(hskp12)) -> (~(hskp13)) -> ((hskp12)\/((hskp16)\/(hskp13))) -> False). % 0.76/0.95 do 0 intro. intros zenon_H28a zenon_H52 zenon_H14b zenon_H148 zenon_H145 zenon_H165 zenon_H24b zenon_H23c zenon_H194 zenon_H195 zenon_H193 zenon_H13e zenon_H140 zenon_H25c zenon_H288 zenon_H24d zenon_H24c zenon_H149 zenon_H1c0 zenon_Hc1 zenon_H1d4 zenon_Had zenon_H23a zenon_H69 zenon_Hd3 zenon_H1a5 zenon_H58 zenon_H59 zenon_H5a zenon_H94 zenon_H176 zenon_H175 zenon_H174 zenon_Hb1 zenon_H1c1 zenon_H1 zenon_H1fb zenon_H1fd. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_Ha. zenon_intro zenon_H28b. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H279. zenon_intro zenon_H28c. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H278. zenon_intro zenon_H277. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.76/0.95 apply (zenon_L171_); trivial. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.76/0.95 apply (zenon_L307_); trivial. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha. zenon_intro zenon_Hd7. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 0.76/0.95 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.95 apply (zenon_L301_); trivial. % 0.76/0.95 apply (zenon_L309_); trivial. % 0.76/0.95 (* end of lemma zenon_L310_ *) % 0.76/0.95 assert (zenon_L311_ : ((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a236))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a239))/\((c3_1 (a239))/\(~(c1_1 (a239))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp14))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> ((hskp20)\/((hskp23)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c1_1 X27))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> ((hskp12)\/((hskp16)\/(hskp13))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((hskp26)\/(hskp9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> ((hskp25)\/(hskp19)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a241))/\((~(c0_1 (a241)))/\(~(c1_1 (a241))))))) -> (~(hskp7)) -> (~(hskp6)) -> ((forall X95 : zenon_U, ((ndr1_0)->((c3_1 X95)\/((~(c0_1 X95))\/(~(c2_1 X95))))))\/((hskp7)\/(hskp6))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> False). % 0.76/0.95 do 0 intro. intros zenon_H63 zenon_H1de zenon_H23c zenon_H28d zenon_H52 zenon_H1c1 zenon_H275 zenon_H24d zenon_H24c zenon_H24b zenon_H1a5 zenon_Hd3 zenon_H23a zenon_H4b zenon_H3e zenon_Had zenon_H1d4 zenon_H1c0 zenon_H1fd zenon_H1df zenon_H14b zenon_H148 zenon_H165 zenon_H13e zenon_H25c zenon_H288 zenon_H149 zenon_H1bc zenon_H69 zenon_Hb1 zenon_Hc1 zenon_H1a1 zenon_H174 zenon_H175 zenon_H176 zenon_H94 zenon_H145 zenon_H1c7 zenon_H140 zenon_H53 zenon_H28e zenon_H15 zenon_H17 zenon_H19 zenon_H116. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H64. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H59. zenon_intro zenon_H65. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H16f | zenon_intro zenon_H19c ]. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H273 | zenon_intro zenon_H28a ]. % 0.76/0.95 apply (zenon_L295_); trivial. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_Ha. zenon_intro zenon_H28b. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H279. zenon_intro zenon_H28c. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H278. zenon_intro zenon_H277. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.76/0.95 apply (zenon_L171_); trivial. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H16d | zenon_intro zenon_H190 ]. % 0.76/0.95 apply (zenon_L292_); trivial. % 0.76/0.95 apply (zenon_L107_); trivial. % 0.76/0.95 apply (zenon_L305_); trivial. % 0.76/0.95 apply (zenon_L306_); trivial. % 0.76/0.95 apply (zenon_L176_); trivial. % 0.76/0.95 apply (zenon_L62_); trivial. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Ha. zenon_intro zenon_H19d. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H195. zenon_intro zenon_H19e. % 0.76/0.95 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H193. zenon_intro zenon_H194. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.76/0.95 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H273 | zenon_intro zenon_H28a ]. % 0.76/0.95 apply (zenon_L295_); trivial. % 0.76/0.95 apply (zenon_L310_); trivial. % 0.76/0.95 apply (zenon_L176_); trivial. % 0.76/0.96 apply (zenon_L62_); trivial. % 0.76/0.96 (* end of lemma zenon_L311_ *) % 0.76/0.96 assert (zenon_L312_ : (forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62)))))) -> (ndr1_0) -> (forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34)))))) -> (~(c3_1 (a274))) -> (c1_1 (a274)) -> False). % 0.76/0.96 do 0 intro. intros zenon_Hb6 zenon_Ha zenon_Hff zenon_H1a9 zenon_H1aa. % 0.76/0.96 generalize (zenon_Hb6 (a274)). zenon_intro zenon_H28f. % 0.76/0.96 apply (zenon_imply_s _ _ zenon_H28f); [ zenon_intro zenon_H9 | zenon_intro zenon_H290 ]. % 0.76/0.96 exact (zenon_H9 zenon_Ha). % 0.76/0.96 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1ad ]. % 0.76/0.96 apply (zenon_L126_); trivial. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1af ]. % 0.76/0.96 exact (zenon_H1a9 zenon_H1b0). % 0.76/0.96 exact (zenon_H1af zenon_H1aa). % 0.76/0.96 (* end of lemma zenon_L312_ *) % 0.76/0.96 assert (zenon_L313_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (c3_1 (a225)) -> (~(c2_1 (a225))) -> (~(c0_1 (a225))) -> (~(hskp9)) -> (ndr1_0) -> (~(c3_1 (a274))) -> (c1_1 (a274)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((hskp26)\/(hskp9))) -> (~(hskp26)) -> False). % 0.76/0.96 do 0 intro. intros zenon_H149 zenon_He9 zenon_He8 zenon_He7 zenon_Had zenon_Ha zenon_H1a9 zenon_H1aa zenon_H288 zenon_H132. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ]. % 0.76/0.96 apply (zenon_L52_); trivial. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hff | zenon_intro zenon_H133 ]. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H289 ]. % 0.76/0.96 apply (zenon_L312_); trivial. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H133 | zenon_intro zenon_Hae ]. % 0.76/0.96 exact (zenon_H132 zenon_H133). % 0.76/0.96 exact (zenon_Had zenon_Hae). % 0.76/0.96 exact (zenon_H132 zenon_H133). % 0.76/0.96 (* end of lemma zenon_L313_ *) % 0.76/0.96 assert (zenon_L314_ : ((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> (~(c3_1 (a255))) -> (~(c1_1 (a255))) -> (~(c0_1 (a255))) -> (~(hskp18)) -> (~(c0_1 (a231))) -> (c1_1 (a231)) -> (c3_1 (a231)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> (~(hskp2)) -> False). % 0.76/0.96 do 0 intro. intros zenon_H144 zenon_H165 zenon_Hcc zenon_Hcb zenon_Hca zenon_H19f zenon_H58 zenon_H59 zenon_H5a zenon_H1c7 zenon_H13e. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H168 ]. % 0.76/0.96 apply (zenon_L47_); trivial. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9c | zenon_intro zenon_H13f ]. % 0.76/0.96 apply (zenon_L181_); trivial. % 0.76/0.96 exact (zenon_H13e zenon_H13f). % 0.76/0.96 (* end of lemma zenon_L314_ *) % 0.76/0.96 assert (zenon_L315_ : ((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a231))) -> (c1_1 (a231)) -> (c3_1 (a231)) -> (~(hskp18)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> (~(c3_1 (a255))) -> (~(c1_1 (a255))) -> (~(c0_1 (a255))) -> (~(c0_1 (a225))) -> (~(c2_1 (a225))) -> (c3_1 (a225)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((hskp26)\/(hskp9))) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> False). % 0.76/0.96 do 0 intro. intros zenon_H1bb zenon_H148 zenon_H165 zenon_H13e zenon_H58 zenon_H59 zenon_H5a zenon_H19f zenon_H1c7 zenon_Hcc zenon_Hcb zenon_Hca zenon_He7 zenon_He8 zenon_He9 zenon_H288 zenon_Had zenon_H149. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Ha. zenon_intro zenon_H1bd. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H1aa. zenon_intro zenon_H1be. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.96 apply (zenon_L313_); trivial. % 0.76/0.96 apply (zenon_L314_); trivial. % 0.76/0.96 (* end of lemma zenon_L315_ *) % 0.76/0.96 assert (zenon_L316_ : ((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (~(hskp17)) -> ((hskp18)\/((hskp27)\/(hskp17))) -> ((hskp20)\/((hskp23)\/(hskp4))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (~(hskp9)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((hskp26)\/(hskp9))) -> (c3_1 (a225)) -> (~(c2_1 (a225))) -> (~(c0_1 (a225))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> (~(hskp18)) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (~(c0_1 (a231))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> False). % 0.76/0.96 do 0 intro. intros zenon_Hd5 zenon_H1c1 zenon_H145 zenon_H94 zenon_H176 zenon_H175 zenon_H174 zenon_H2c zenon_H1a1 zenon_H1a5 zenon_Hd3 zenon_H149 zenon_Had zenon_H288 zenon_He9 zenon_He8 zenon_He7 zenon_H1c7 zenon_H19f zenon_H5a zenon_H59 zenon_H58 zenon_H13e zenon_H165 zenon_H148 zenon_H1c0. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha. zenon_intro zenon_Hd7. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H16d | zenon_intro zenon_H190 ]. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1bb ]. % 0.76/0.96 apply (zenon_L109_); trivial. % 0.76/0.96 apply (zenon_L315_); trivial. % 0.76/0.96 apply (zenon_L107_); trivial. % 0.76/0.96 (* end of lemma zenon_L316_ *) % 0.76/0.96 assert (zenon_L317_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> (~(hskp17)) -> ((hskp18)\/((hskp27)\/(hskp17))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((hskp26)\/(hskp9))) -> (c3_1 (a225)) -> (~(c2_1 (a225))) -> (~(c0_1 (a225))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> (~(hskp18)) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp12)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> ((hskp25)\/(hskp19)) -> (~(hskp4)) -> ((hskp20)\/((hskp23)\/(hskp4))) -> (~(c0_1 (a231))) -> (c1_1 (a231)) -> (c3_1 (a231)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257))))))) -> False). % 0.76/0.96 do 0 intro. intros zenon_H14b zenon_H145 zenon_H2c zenon_H1a1 zenon_H149 zenon_H288 zenon_He9 zenon_He8 zenon_He7 zenon_H1c7 zenon_H19f zenon_H13e zenon_H165 zenon_H148 zenon_H1c0 zenon_Hc1 zenon_H1d4 zenon_Had zenon_H1 zenon_H23a zenon_H69 zenon_Hd3 zenon_H1a5 zenon_H58 zenon_H59 zenon_H5a zenon_H94 zenon_H176 zenon_H175 zenon_H174 zenon_Hb1 zenon_H1c1. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.76/0.96 apply (zenon_L307_); trivial. % 0.76/0.96 apply (zenon_L316_); trivial. % 0.76/0.96 (* end of lemma zenon_L317_ *) % 0.76/0.96 assert (zenon_L318_ : ((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> ((hskp20)\/((hskp23)\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> False). % 0.76/0.96 do 0 intro. intros zenon_H1e0 zenon_H1c1 zenon_H275 zenon_H273 zenon_H24d zenon_H24c zenon_H24b zenon_H1a5 zenon_Hd3 zenon_H16f zenon_H1bc zenon_H1c0. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_Ha. zenon_intro zenon_H1e1. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_H1b3. zenon_intro zenon_H1e2. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H1b4. zenon_intro zenon_H1b2. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H16d | zenon_intro zenon_H190 ]. % 0.76/0.96 apply (zenon_L113_); trivial. % 0.76/0.96 apply (zenon_L294_); trivial. % 0.76/0.96 (* end of lemma zenon_L318_ *) % 0.76/0.96 assert (zenon_L319_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(c3_1 (a236))) -> (c0_1 (a236)) -> (~(c2_1 (a236))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp12)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(c3_1 (a255))) -> (~(c1_1 (a255))) -> (~(c0_1 (a255))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(c0_1 (a225))) -> (~(c2_1 (a225))) -> (c3_1 (a225)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((hskp26)\/(hskp9))) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (~(hskp20)) -> (~(hskp4)) -> ((hskp20)\/((hskp23)\/(hskp4))) -> False). % 0.76/0.96 do 0 intro. intros zenon_H1c0 zenon_H148 zenon_H145 zenon_H165 zenon_H25c zenon_H24d zenon_H24c zenon_H24b zenon_H43 zenon_H42 zenon_H41 zenon_H23c zenon_H174 zenon_H175 zenon_H176 zenon_H194 zenon_H195 zenon_H193 zenon_H94 zenon_H1 zenon_H23a zenon_Hcc zenon_Hcb zenon_Hca zenon_H13e zenon_H140 zenon_He7 zenon_He8 zenon_He9 zenon_H288 zenon_Had zenon_H149 zenon_H16d zenon_Hd3 zenon_H1a5. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1bb ]. % 0.76/0.96 apply (zenon_L109_); trivial. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Ha. zenon_intro zenon_H1bd. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H1aa. zenon_intro zenon_H1be. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.96 apply (zenon_L313_); trivial. % 0.76/0.96 apply (zenon_L309_); trivial. % 0.76/0.96 (* end of lemma zenon_L319_ *) % 0.76/0.96 assert (zenon_L320_ : ((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a236))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a239))/\((c3_1 (a239))/\(~(c1_1 (a239))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((hskp26)\/(hskp9))) -> (c3_1 (a225)) -> (~(c2_1 (a225))) -> (~(c0_1 (a225))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> ((hskp25)\/(hskp19)) -> (~(hskp4)) -> ((hskp20)\/((hskp23)\/(hskp4))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp14))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((hskp12)\/((hskp16)\/(hskp13))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a241))/\((~(c0_1 (a241)))/\(~(c1_1 (a241))))))) -> (~(hskp7)) -> (~(hskp6)) -> ((forall X95 : zenon_U, ((ndr1_0)->((c3_1 X95)\/((~(c0_1 X95))\/(~(c2_1 X95))))))\/((hskp7)\/(hskp6))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> False). % 0.76/0.96 do 0 intro. intros zenon_H63 zenon_H1de zenon_H23c zenon_H28d zenon_H53 zenon_H14b zenon_H145 zenon_H1a1 zenon_H149 zenon_H288 zenon_He9 zenon_He8 zenon_He7 zenon_H1c7 zenon_H13e zenon_H165 zenon_H148 zenon_H1c0 zenon_Hc1 zenon_H1d4 zenon_Had zenon_H23a zenon_H69 zenon_Hd3 zenon_H1a5 zenon_H94 zenon_H176 zenon_H175 zenon_H174 zenon_Hb1 zenon_H1c1 zenon_H1bc zenon_H24b zenon_H24c zenon_H24d zenon_H275 zenon_H1df zenon_H1fd zenon_H25c zenon_H140 zenon_H52 zenon_H28e zenon_H15 zenon_H17 zenon_H19 zenon_H116. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H64. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H59. zenon_intro zenon_H65. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H16f | zenon_intro zenon_H19c ]. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H273 | zenon_intro zenon_H28a ]. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.76/0.96 apply (zenon_L317_); trivial. % 0.76/0.96 apply (zenon_L318_); trivial. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.76/0.96 apply (zenon_L120_); trivial. % 0.76/0.96 apply (zenon_L318_); trivial. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_Ha. zenon_intro zenon_H28b. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H279. zenon_intro zenon_H28c. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H278. zenon_intro zenon_H277. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.76/0.96 apply (zenon_L171_); trivial. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.76/0.96 apply (zenon_L317_); trivial. % 0.76/0.96 apply (zenon_L305_); trivial. % 0.76/0.96 apply (zenon_L306_); trivial. % 0.76/0.96 apply (zenon_L176_); trivial. % 0.76/0.96 apply (zenon_L62_); trivial. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Ha. zenon_intro zenon_H19d. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H195. zenon_intro zenon_H19e. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H193. zenon_intro zenon_H194. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H273 | zenon_intro zenon_H28a ]. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.76/0.96 apply (zenon_L171_); trivial. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.76/0.96 apply (zenon_L307_); trivial. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha. zenon_intro zenon_Hd7. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H16d | zenon_intro zenon_H190 ]. % 0.76/0.96 apply (zenon_L319_); trivial. % 0.76/0.96 apply (zenon_L294_); trivial. % 0.76/0.96 apply (zenon_L310_); trivial. % 0.76/0.96 apply (zenon_L176_); trivial. % 0.76/0.96 apply (zenon_L62_); trivial. % 0.76/0.96 (* end of lemma zenon_L320_ *) % 0.76/0.96 assert (zenon_L321_ : ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> (c2_1 (a223)) -> (c1_1 (a223)) -> (~(c0_1 (a223))) -> (~(hskp2)) -> (~(hskp27)) -> (ndr1_0) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp26)) -> False). % 0.76/0.96 do 0 intro. intros zenon_H217 zenon_H23 zenon_H22 zenon_H21 zenon_H13e zenon_H74 zenon_Ha zenon_H174 zenon_H175 zenon_H176 zenon_H140 zenon_H132. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H20 | zenon_intro zenon_H218 ]. % 0.76/0.96 apply (zenon_L13_); trivial. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H173 | zenon_intro zenon_H133 ]. % 0.76/0.96 apply (zenon_L96_); trivial. % 0.76/0.96 exact (zenon_H132 zenon_H133). % 0.76/0.96 (* end of lemma zenon_L321_ *) % 0.76/0.96 assert (zenon_L322_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> (~(c3_1 (a255))) -> (~(c1_1 (a255))) -> (~(c0_1 (a255))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (ndr1_0) -> (~(c0_1 (a223))) -> (c1_1 (a223)) -> (c2_1 (a223)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (~(hskp26)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> False). % 0.76/0.96 do 0 intro. intros zenon_H145 zenon_H169 zenon_H165 zenon_Hcc zenon_Hcb zenon_Hca zenon_H159 zenon_Ha zenon_H21 zenon_H22 zenon_H23 zenon_H140 zenon_H13e zenon_H176 zenon_H175 zenon_H174 zenon_H132 zenon_H217. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.96 apply (zenon_L321_); trivial. % 0.76/0.96 apply (zenon_L87_); trivial. % 0.76/0.96 (* end of lemma zenon_L322_ *) % 0.76/0.96 assert (zenon_L323_ : ((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> (~(hskp18)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (c2_1 (a223)) -> (c1_1 (a223)) -> (~(c0_1 (a223))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> False). % 0.76/0.96 do 0 intro. intros zenon_Hd5 zenon_H148 zenon_H19f zenon_H1c7 zenon_H217 zenon_H174 zenon_H175 zenon_H176 zenon_H13e zenon_H140 zenon_H23 zenon_H22 zenon_H21 zenon_H159 zenon_H165 zenon_H169 zenon_H145. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha. zenon_intro zenon_Hd7. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.96 apply (zenon_L322_); trivial. % 0.76/0.96 apply (zenon_L262_); trivial. % 0.76/0.96 (* end of lemma zenon_L323_ *) % 0.76/0.96 assert (zenon_L324_ : ((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> (~(c1_1 (a252))) -> (c0_1 (a252)) -> (c2_1 (a252)) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (c2_1 (a223)) -> (c1_1 (a223)) -> (~(c0_1 (a223))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> False). % 0.76/0.96 do 0 intro. intros zenon_Hd5 zenon_H148 zenon_H25c zenon_H24d zenon_H24c zenon_H24b zenon_H43 zenon_H42 zenon_H41 zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_H16f zenon_H1bc zenon_H217 zenon_H174 zenon_H175 zenon_H176 zenon_H13e zenon_H140 zenon_H23 zenon_H22 zenon_H21 zenon_H159 zenon_H165 zenon_H169 zenon_H145. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha. zenon_intro zenon_Hd7. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.96 apply (zenon_L322_); trivial. % 0.76/0.96 apply (zenon_L303_); trivial. % 0.76/0.96 (* end of lemma zenon_L324_ *) % 0.76/0.96 assert (zenon_L325_ : ((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> (c2_1 (a223)) -> (c1_1 (a223)) -> (~(c0_1 (a223))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp20)\/((hskp23)\/(hskp4))) -> ((hskp25)\/(hskp19)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a248)) -> (c3_1 (a248)) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257))))))) -> False). % 0.76/0.96 do 0 intro. intros zenon_H1e0 zenon_H14b zenon_H148 zenon_H25c zenon_H24d zenon_H24c zenon_H24b zenon_H43 zenon_H42 zenon_H41 zenon_H217 zenon_H23 zenon_H22 zenon_H21 zenon_H159 zenon_H165 zenon_H169 zenon_H1c0 zenon_H1bc zenon_H16f zenon_Hd3 zenon_H1a5 zenon_H69 zenon_Hb1 zenon_Had zenon_H174 zenon_H175 zenon_H176 zenon_H94 zenon_H33 zenon_H4f zenon_H13e zenon_H140 zenon_H145 zenon_Hc1 zenon_H1c1. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_Ha. zenon_intro zenon_H1e1. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_H1b3. zenon_intro zenon_H1e2. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H1b4. zenon_intro zenon_H1b2. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H16d | zenon_intro zenon_H190 ]. % 0.76/0.96 apply (zenon_L113_); trivial. % 0.76/0.96 apply (zenon_L124_); trivial. % 0.76/0.96 apply (zenon_L324_); trivial. % 0.76/0.96 (* end of lemma zenon_L325_ *) % 0.76/0.96 assert (zenon_L326_ : (forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41)))))) -> (ndr1_0) -> (~(c1_1 (a239))) -> (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (c2_1 (a239)) -> (c3_1 (a239)) -> False). % 0.76/0.96 do 0 intro. intros zenon_H1b1 zenon_Ha zenon_H1ff zenon_H78 zenon_H200 zenon_H201. % 0.76/0.96 generalize (zenon_H1b1 (a239)). zenon_intro zenon_H291. % 0.76/0.96 apply (zenon_imply_s _ _ zenon_H291); [ zenon_intro zenon_H9 | zenon_intro zenon_H292 ]. % 0.76/0.96 exact (zenon_H9 zenon_Ha). % 0.76/0.96 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H205 | zenon_intro zenon_H293 ]. % 0.76/0.96 exact (zenon_H1ff zenon_H205). % 0.76/0.96 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H294 | zenon_intro zenon_H207 ]. % 0.76/0.96 generalize (zenon_H78 (a239)). zenon_intro zenon_H295. % 0.76/0.96 apply (zenon_imply_s _ _ zenon_H295); [ zenon_intro zenon_H9 | zenon_intro zenon_H296 ]. % 0.76/0.96 exact (zenon_H9 zenon_Ha). % 0.76/0.96 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H297 | zenon_intro zenon_H204 ]. % 0.76/0.96 exact (zenon_H294 zenon_H297). % 0.76/0.96 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H207 | zenon_intro zenon_H206 ]. % 0.76/0.96 exact (zenon_H207 zenon_H200). % 0.76/0.96 exact (zenon_H206 zenon_H201). % 0.76/0.96 exact (zenon_H207 zenon_H200). % 0.76/0.96 (* end of lemma zenon_L326_ *) % 0.76/0.96 assert (zenon_L327_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (c1_1 (a274)) -> (~(c3_1 (a274))) -> (~(c0_1 (a274))) -> (c3_1 (a239)) -> (c2_1 (a239)) -> (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (~(c1_1 (a239))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.76/0.96 do 0 intro. intros zenon_H1bc zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H201 zenon_H200 zenon_H78 zenon_H1ff zenon_Ha zenon_H16f. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1bf ]. % 0.76/0.96 apply (zenon_L110_); trivial. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H170 ]. % 0.76/0.96 apply (zenon_L326_); trivial. % 0.76/0.96 exact (zenon_H16f zenon_H170). % 0.76/0.96 (* end of lemma zenon_L327_ *) % 0.76/0.96 assert (zenon_L328_ : ((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp12)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(hskp11)) -> (~(c1_1 (a239))) -> (c2_1 (a239)) -> (c3_1 (a239)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (~(hskp9)) -> False). % 0.76/0.96 do 0 intro. intros zenon_H1bb zenon_H1d4 zenon_H1 zenon_H23a zenon_H16f zenon_H1ff zenon_H200 zenon_H201 zenon_H1bc zenon_Had. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Ha. zenon_intro zenon_H1bd. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H1aa. zenon_intro zenon_H1be. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1d5 ]. % 0.76/0.96 apply (zenon_L278_); trivial. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hae ]. % 0.76/0.96 apply (zenon_L327_); trivial. % 0.76/0.96 exact (zenon_Had zenon_Hae). % 0.76/0.96 (* end of lemma zenon_L328_ *) % 0.76/0.96 assert (zenon_L329_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a239))) -> (c2_1 (a239)) -> (c3_1 (a239)) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (~(hskp12)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(hskp20)) -> (~(hskp4)) -> ((hskp20)\/((hskp23)\/(hskp4))) -> False). % 0.76/0.96 do 0 intro. intros zenon_H1c0 zenon_H1d4 zenon_Had zenon_H1ff zenon_H200 zenon_H201 zenon_H16f zenon_H1bc zenon_H1 zenon_H23a zenon_H16d zenon_Hd3 zenon_H1a5. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1bb ]. % 0.76/0.96 apply (zenon_L109_); trivial. % 0.76/0.96 apply (zenon_L328_); trivial. % 0.76/0.96 (* end of lemma zenon_L329_ *) % 0.76/0.96 assert (zenon_L330_ : ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp2)) -> (~(hskp27)) -> (c1_1 (a248)) -> (c3_1 (a248)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (c3_1 (a239)) -> (c2_1 (a239)) -> (~(c1_1 (a239))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.76/0.96 do 0 intro. intros zenon_Hb1 zenon_H13e zenon_H74 zenon_H33 zenon_H4f zenon_H140 zenon_H201 zenon_H200 zenon_H1ff zenon_Ha zenon_Had. % 0.76/0.96 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H57 | zenon_intro zenon_Hb5 ]. % 0.76/0.96 apply (zenon_L122_); trivial. % 0.76/0.96 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H8c | zenon_intro zenon_Hae ]. % 0.76/0.96 apply (zenon_L175_); trivial. % 0.76/0.96 exact (zenon_Had zenon_Hae). % 0.76/0.96 (* end of lemma zenon_L330_ *) % 0.76/0.96 assert (zenon_L331_ : ((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a248)) -> (c1_1 (a248)) -> (~(c1_1 (a239))) -> (c2_1 (a239)) -> (c3_1 (a239)) -> (~(hskp9)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> False). % 0.76/0.96 do 0 intro. intros zenon_H190 zenon_H145 zenon_H94 zenon_H176 zenon_H175 zenon_H174 zenon_H140 zenon_H13e zenon_H4f zenon_H33 zenon_H1ff zenon_H200 zenon_H201 zenon_Had zenon_Hb1. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_Ha. zenon_intro zenon_H191. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H188. zenon_intro zenon_H192. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H189. zenon_intro zenon_H187. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.96 apply (zenon_L330_); trivial. % 0.76/0.96 apply (zenon_L100_); trivial. % 0.76/0.96 (* end of lemma zenon_L331_ *) % 0.76/0.96 assert (zenon_L332_ : ((ndr1_0)/\((c2_1 (a239))/\((c3_1 (a239))/\(~(c1_1 (a239)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> ((hskp20)\/((hskp23)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp6)) -> (~(hskp5)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp6)\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(hskp10)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> False). % 0.76/0.96 do 0 intro. intros zenon_H208 zenon_H53 zenon_H140 zenon_H13e zenon_Hb1 zenon_H1bc zenon_H16f zenon_Had zenon_H1d4 zenon_H1c1 zenon_H145 zenon_H94 zenon_H176 zenon_H175 zenon_H174 zenon_H1a1 zenon_H1a5 zenon_Hd3 zenon_H23a zenon_H1 zenon_H17 zenon_H10c zenon_H267 zenon_H1c0 zenon_H24b zenon_H24c zenon_H24d zenon_H2a zenon_H233 zenon_H1df. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_Ha. zenon_intro zenon_H209. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H200. zenon_intro zenon_H20a. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H20a). zenon_intro zenon_H201. zenon_intro zenon_H1ff. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.76/0.96 apply (zenon_L281_); trivial. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H16d | zenon_intro zenon_H190 ]. % 0.76/0.96 apply (zenon_L329_); trivial. % 0.76/0.96 apply (zenon_L331_); trivial. % 0.76/0.96 (* end of lemma zenon_L332_ *) % 0.76/0.96 assert (zenon_L333_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp5))) -> (c3_1 (a225)) -> (~(c2_1 (a225))) -> (~(c0_1 (a225))) -> (c1_1 (a274)) -> (~(c3_1 (a274))) -> (~(c0_1 (a274))) -> (ndr1_0) -> (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18))))) -> (~(hskp5)) -> False). % 0.76/0.96 do 0 intro. intros zenon_H10f zenon_He9 zenon_He8 zenon_He7 zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_Ha zenon_H1d0 zenon_H10c. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_He6 | zenon_intro zenon_H112 ]. % 0.76/0.96 apply (zenon_L52_); trivial. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hff | zenon_intro zenon_H10d ]. % 0.76/0.96 apply (zenon_L127_); trivial. % 0.76/0.96 exact (zenon_H10c zenon_H10d). % 0.76/0.96 (* end of lemma zenon_L333_ *) % 0.76/0.96 assert (zenon_L334_ : ((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp6)\/(hskp5))) -> (~(c0_1 (a225))) -> (~(c2_1 (a225))) -> (c3_1 (a225)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp5))) -> (~(hskp6)) -> (~(hskp5)) -> False). % 0.76/0.96 do 0 intro. intros zenon_H1bb zenon_H267 zenon_He7 zenon_He8 zenon_He9 zenon_H10f zenon_H17 zenon_H10c. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Ha. zenon_intro zenon_H1bd. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H1aa. zenon_intro zenon_H1be. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H268 ]. % 0.76/0.96 apply (zenon_L333_); trivial. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H18 | zenon_intro zenon_H10d ]. % 0.76/0.96 exact (zenon_H17 zenon_H18). % 0.76/0.96 exact (zenon_H10c zenon_H10d). % 0.76/0.96 (* end of lemma zenon_L334_ *) % 0.76/0.96 assert (zenon_L335_ : ((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c0_1 (a320))) -> (c2_1 (a320)) -> (c3_1 (a320)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a261)) -> (c2_1 (a261)) -> (c1_1 (a261)) -> (~(c3_1 (a237))) -> (c0_1 (a237)) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> False). % 0.76/0.96 do 0 intro. intros zenon_H164 zenon_H215 zenon_H24b zenon_H24c zenon_H24d zenon_H79 zenon_H7a zenon_H7b zenon_Hab zenon_H9e zenon_H9d zenon_H9f zenon_Hc zenon_Hd zenon_H174 zenon_H175 zenon_H176 zenon_H94. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Ha. zenon_intro zenon_H166. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H15b. zenon_intro zenon_H167. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H216 ]. % 0.76/0.96 apply (zenon_L236_); trivial. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H40 | zenon_intro zenon_H9c ]. % 0.76/0.96 apply (zenon_L178_); trivial. % 0.76/0.96 apply (zenon_L85_); trivial. % 0.76/0.96 (* end of lemma zenon_L335_ *) % 0.76/0.96 assert (zenon_L336_ : ((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(c3_1 (a237))) -> (c0_1 (a237)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a320))) -> (c2_1 (a320)) -> (c3_1 (a320)) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp26)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> False). % 0.76/0.96 do 0 intro. intros zenon_Haf zenon_H169 zenon_H215 zenon_H174 zenon_H175 zenon_H176 zenon_Hc zenon_Hd zenon_H94 zenon_H79 zenon_H7a zenon_H7b zenon_H24b zenon_H24c zenon_H24d zenon_Hab zenon_H132 zenon_H159. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H157 | zenon_intro zenon_H164 ]. % 0.76/0.96 apply (zenon_L84_); trivial. % 0.76/0.96 apply (zenon_L335_); trivial. % 0.76/0.96 (* end of lemma zenon_L336_ *) % 0.76/0.96 assert (zenon_L337_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a237))) -> (c0_1 (a237)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a320))) -> (c2_1 (a320)) -> (c3_1 (a320)) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp26)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (ndr1_0) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp5))) -> False). % 0.76/0.96 do 0 intro. intros zenon_H145 zenon_H169 zenon_H215 zenon_Hc zenon_Hd zenon_H94 zenon_H79 zenon_H7a zenon_H7b zenon_H24b zenon_H24c zenon_H24d zenon_Hab zenon_H132 zenon_H159 zenon_H140 zenon_H13e zenon_H176 zenon_H175 zenon_H174 zenon_Ha zenon_H10c zenon_H185. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.96 apply (zenon_L98_); trivial. % 0.76/0.96 apply (zenon_L336_); trivial. % 0.76/0.96 (* end of lemma zenon_L337_ *) % 0.76/0.96 assert (zenon_L338_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255))))))) -> (~(hskp18)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> (c2_1 (a223)) -> (c1_1 (a223)) -> (~(c0_1 (a223))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp6)\/(hskp5))) -> (~(hskp6)) -> (~(c0_1 (a225))) -> (~(c2_1 (a225))) -> (c3_1 (a225)) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp5))) -> (~(hskp4)) -> ((hskp20)\/((hskp23)\/(hskp4))) -> ((hskp25)\/(hskp19)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a237))) -> (c0_1 (a237)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257))))))) -> False). % 0.76/0.96 do 0 intro. intros zenon_H14b zenon_H19f zenon_H1c7 zenon_H217 zenon_H23 zenon_H22 zenon_H21 zenon_H165 zenon_H1c0 zenon_H267 zenon_H17 zenon_He7 zenon_He8 zenon_He9 zenon_H10c zenon_H10f zenon_Hd3 zenon_H1a5 zenon_H69 zenon_H145 zenon_H169 zenon_H215 zenon_Hc zenon_Hd zenon_H94 zenon_H24b zenon_H24c zenon_H24d zenon_Hab zenon_H159 zenon_H140 zenon_H13e zenon_H176 zenon_H175 zenon_H174 zenon_H185 zenon_H148 zenon_Hc1 zenon_H1c1. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H16d | zenon_intro zenon_H190 ]. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1bb ]. % 0.76/0.96 apply (zenon_L109_); trivial. % 0.76/0.96 apply (zenon_L334_); trivial. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_Ha. zenon_intro zenon_H191. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H188. zenon_intro zenon_H192. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H189. zenon_intro zenon_H187. % 0.76/0.96 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H6a | zenon_intro zenon_Hc5 ]. % 0.76/0.96 apply (zenon_L27_); trivial. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc6. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7a. zenon_intro zenon_Hc7. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.96 apply (zenon_L337_); trivial. % 0.76/0.96 apply (zenon_L287_); trivial. % 0.76/0.96 apply (zenon_L323_); trivial. % 0.76/0.96 (* end of lemma zenon_L338_ *) % 0.76/0.96 assert (zenon_L339_ : ((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp5))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((hskp25)\/(hskp19)) -> ((hskp20)\/((hskp23)\/(hskp4))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a225)) -> (~(c2_1 (a225))) -> (~(c0_1 (a225))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp6)\/(hskp5))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> (~(c0_1 (a223))) -> (c1_1 (a223)) -> (c2_1 (a223)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255))))))) -> False). % 0.76/0.96 do 0 intro. intros zenon_H113 zenon_H1df zenon_H233 zenon_H2a zenon_H1c1 zenon_Hc1 zenon_H148 zenon_H185 zenon_H174 zenon_H175 zenon_H176 zenon_H13e zenon_H140 zenon_H159 zenon_Hab zenon_H24d zenon_H24c zenon_H24b zenon_H94 zenon_H215 zenon_H169 zenon_H145 zenon_H69 zenon_H1a5 zenon_Hd3 zenon_H10f zenon_H10c zenon_He9 zenon_He8 zenon_He7 zenon_H17 zenon_H267 zenon_H1c0 zenon_H165 zenon_H21 zenon_H22 zenon_H23 zenon_H217 zenon_H1c7 zenon_H14b. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Ha. zenon_intro zenon_H114. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hd. zenon_intro zenon_H115. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.76/0.96 apply (zenon_L338_); trivial. % 0.76/0.96 apply (zenon_L247_); trivial. % 0.76/0.96 (* end of lemma zenon_L339_ *) % 0.76/0.96 assert (zenon_L340_ : ((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> (~(c0_1 (a231))) -> (c1_1 (a231)) -> (c3_1 (a231)) -> (~(hskp18)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (c2_1 (a223)) -> (c1_1 (a223)) -> (~(c0_1 (a223))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> False). % 0.76/0.96 do 0 intro. intros zenon_Hd5 zenon_H148 zenon_H58 zenon_H59 zenon_H5a zenon_H19f zenon_H1c7 zenon_H217 zenon_H174 zenon_H175 zenon_H176 zenon_H13e zenon_H140 zenon_H23 zenon_H22 zenon_H21 zenon_H159 zenon_H165 zenon_H169 zenon_H145. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha. zenon_intro zenon_Hd7. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.96 apply (zenon_L322_); trivial. % 0.76/0.96 apply (zenon_L314_); trivial. % 0.76/0.96 (* end of lemma zenon_L340_ *) % 0.76/0.96 assert (zenon_L341_ : ((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a231))) -> (c1_1 (a231)) -> (c3_1 (a231)) -> (~(hskp18)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(c3_1 (a237))) -> (c0_1 (a237)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a274)) -> (~(c3_1 (a274))) -> (~(c0_1 (a274))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> False). % 0.76/0.96 do 0 intro. intros zenon_H144 zenon_H145 zenon_H215 zenon_H58 zenon_H59 zenon_H5a zenon_H19f zenon_H1c7 zenon_H174 zenon_H175 zenon_H176 zenon_Hc zenon_Hd zenon_H94 zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H13e zenon_H140. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.96 apply (zenon_L75_); trivial. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H216 ]. % 0.76/0.96 apply (zenon_L110_); trivial. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H40 | zenon_intro zenon_H9c ]. % 0.76/0.96 apply (zenon_L178_); trivial. % 0.76/0.96 apply (zenon_L181_); trivial. % 0.76/0.96 (* end of lemma zenon_L341_ *) % 0.76/0.96 assert (zenon_L342_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> (~(c0_1 (a231))) -> (c1_1 (a231)) -> (c3_1 (a231)) -> (~(hskp18)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (c2_1 (a223)) -> (c1_1 (a223)) -> (~(c0_1 (a223))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c0_1 (a237)) -> (~(c3_1 (a237))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((hskp25)\/(hskp19)) -> (~(hskp4)) -> ((hskp20)\/((hskp23)\/(hskp4))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> (~(hskp17)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257))))))) -> False). % 0.76/0.96 do 0 intro. intros zenon_H14b zenon_H165 zenon_H1c0 zenon_Hc1 zenon_H148 zenon_H58 zenon_H59 zenon_H5a zenon_H19f zenon_H1c7 zenon_H217 zenon_H174 zenon_H175 zenon_H176 zenon_H13e zenon_H140 zenon_H23 zenon_H22 zenon_H21 zenon_H159 zenon_Hab zenon_H24d zenon_H24c zenon_H24b zenon_H94 zenon_Hd zenon_Hc zenon_H215 zenon_H169 zenon_H145 zenon_H69 zenon_Hd3 zenon_H1a5 zenon_H1a1 zenon_H2c zenon_H1c1. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H16d | zenon_intro zenon_H190 ]. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1bb ]. % 0.76/0.96 apply (zenon_L109_); trivial. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Ha. zenon_intro zenon_H1bd. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H1aa. zenon_intro zenon_H1be. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 0.76/0.96 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H6a | zenon_intro zenon_Hc5 ]. % 0.76/0.96 apply (zenon_L27_); trivial. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc6. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7a. zenon_intro zenon_Hc7. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.96 apply (zenon_L321_); trivial. % 0.76/0.96 apply (zenon_L336_); trivial. % 0.76/0.96 apply (zenon_L341_); trivial. % 0.76/0.96 apply (zenon_L107_); trivial. % 0.76/0.96 apply (zenon_L323_); trivial. % 0.76/0.96 (* end of lemma zenon_L342_ *) % 0.76/0.96 assert (zenon_L343_ : ((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (~(c3_1 (a237))) -> (c0_1 (a237)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a252))) -> (c0_1 (a252)) -> (c2_1 (a252)) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (c2_1 (a223)) -> (c1_1 (a223)) -> (~(c0_1 (a223))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> False). % 0.76/0.96 do 0 intro. intros zenon_Hd5 zenon_H148 zenon_H25c zenon_H24d zenon_H24c zenon_H24b zenon_Hc zenon_Hd zenon_H94 zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_H16f zenon_H1bc zenon_H217 zenon_H174 zenon_H175 zenon_H176 zenon_H13e zenon_H140 zenon_H23 zenon_H22 zenon_H21 zenon_H159 zenon_H165 zenon_H169 zenon_H145. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha. zenon_intro zenon_Hd7. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.96 apply (zenon_L322_); trivial. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.96 apply (zenon_L75_); trivial. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H168 ]. % 0.76/0.96 apply (zenon_L47_); trivial. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9c | zenon_intro zenon_H13f ]. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1bf ]. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H40 | zenon_intro zenon_H25d ]. % 0.76/0.96 apply (zenon_L178_); trivial. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H88 | zenon_intro zenon_H70 ]. % 0.76/0.96 apply (zenon_L235_); trivial. % 0.76/0.96 apply (zenon_L240_); trivial. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H170 ]. % 0.76/0.96 apply (zenon_L111_); trivial. % 0.76/0.96 exact (zenon_H16f zenon_H170). % 0.76/0.96 exact (zenon_H13e zenon_H13f). % 0.76/0.96 (* end of lemma zenon_L343_ *) % 0.76/0.96 assert (zenon_L344_ : ((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (~(c3_1 (a237))) -> (c0_1 (a237)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (c2_1 (a223)) -> (c1_1 (a223)) -> (~(c0_1 (a223))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp4)) -> ((hskp20)\/((hskp23)\/(hskp4))) -> ((hskp25)\/(hskp19)) -> (~(c0_1 (a231))) -> (c1_1 (a231)) -> (c3_1 (a231)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (~(hskp9)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257))))))) -> False). % 0.76/0.96 do 0 intro. intros zenon_H1e0 zenon_H14b zenon_H148 zenon_H25c zenon_H24d zenon_H24c zenon_H24b zenon_Hc zenon_Hd zenon_H217 zenon_H13e zenon_H140 zenon_H23 zenon_H22 zenon_H21 zenon_H159 zenon_H165 zenon_H169 zenon_H145 zenon_H1c0 zenon_H1bc zenon_H16f zenon_Hd3 zenon_H1a5 zenon_H69 zenon_H58 zenon_H59 zenon_H5a zenon_H94 zenon_H176 zenon_H175 zenon_H174 zenon_Had zenon_Hb1 zenon_Hc1 zenon_H1c1. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_Ha. zenon_intro zenon_H1e1. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_H1b3. zenon_intro zenon_H1e2. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H1b4. zenon_intro zenon_H1b2. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.76/0.96 apply (zenon_L117_); trivial. % 0.76/0.96 apply (zenon_L343_); trivial. % 0.76/0.96 (* end of lemma zenon_L344_ *) % 0.76/0.96 assert (zenon_L345_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp9)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257))))))) -> (~(hskp17)) -> ((hskp18)\/((hskp27)\/(hskp17))) -> ((hskp20)\/((hskp23)\/(hskp4))) -> (~(hskp4)) -> ((hskp25)\/(hskp19)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a237))) -> (c0_1 (a237)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (~(c0_1 (a223))) -> (c1_1 (a223)) -> (c2_1 (a223)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (~(c0_1 (a231))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255))))))) -> False). % 0.76/0.96 do 0 intro. intros zenon_H1df zenon_H25c zenon_H1bc zenon_H16f zenon_Had zenon_Hb1 zenon_H1c1 zenon_H2c zenon_H1a1 zenon_H1a5 zenon_Hd3 zenon_H69 zenon_H145 zenon_H169 zenon_H215 zenon_Hc zenon_Hd zenon_H94 zenon_H24b zenon_H24c zenon_H24d zenon_Hab zenon_H159 zenon_H21 zenon_H22 zenon_H23 zenon_H140 zenon_H13e zenon_H176 zenon_H175 zenon_H174 zenon_H217 zenon_H1c7 zenon_H5a zenon_H59 zenon_H58 zenon_H148 zenon_Hc1 zenon_H1c0 zenon_H165 zenon_H14b. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.76/0.96 apply (zenon_L342_); trivial. % 0.76/0.96 apply (zenon_L344_); trivial. % 0.76/0.96 (* end of lemma zenon_L345_ *) % 0.76/0.96 assert (zenon_L346_ : ((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp12)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(c0_1 (a223))) -> (c1_1 (a223)) -> (c2_1 (a223)) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> (c0_1 (a236)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> False). % 0.76/0.96 do 0 intro. intros zenon_Hd5 zenon_H148 zenon_H145 zenon_H165 zenon_H25c zenon_H24d zenon_H24c zenon_H24b zenon_H43 zenon_H42 zenon_H41 zenon_H23c zenon_H174 zenon_H175 zenon_H176 zenon_H94 zenon_H1 zenon_H23a zenon_H13e zenon_H140 zenon_H21 zenon_H22 zenon_H23 zenon_H193 zenon_H194 zenon_H195 zenon_H217. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha. zenon_intro zenon_Hd7. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.96 apply (zenon_L184_); trivial. % 0.76/0.96 apply (zenon_L309_); trivial. % 0.76/0.96 (* end of lemma zenon_L346_ *) % 0.76/0.96 assert (zenon_L347_ : ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c3_1 (a237))) -> (c0_1 (a237)) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67)))))) -> (ndr1_0) -> (c1_1 (a261)) -> (c2_1 (a261)) -> (c3_1 (a261)) -> False). % 0.76/0.96 do 0 intro. intros zenon_H10a zenon_Hc zenon_Hd zenon_H174 zenon_H175 zenon_H176 zenon_H94 zenon_H24d zenon_H24c zenon_H88 zenon_Ha zenon_H9f zenon_H9d zenon_H9e. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_H40 | zenon_intro zenon_H10b ]. % 0.76/0.96 apply (zenon_L178_); trivial. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hff | zenon_intro zenon_H8d ]. % 0.76/0.96 apply (zenon_L268_); trivial. % 0.76/0.96 apply (zenon_L76_); trivial. % 0.76/0.96 (* end of lemma zenon_L347_ *) % 0.76/0.96 assert (zenon_L348_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(c3_1 (a236))) -> (c0_1 (a236)) -> (~(c2_1 (a236))) -> (c3_1 (a261)) -> (c2_1 (a261)) -> (c1_1 (a261)) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (c0_1 (a237)) -> (~(c3_1 (a237))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (c0_1 (a234)) -> (c3_1 (a234)) -> (c1_1 (a234)) -> False). % 0.76/0.96 do 0 intro. intros zenon_H23c zenon_H194 zenon_H195 zenon_H193 zenon_H9e zenon_H9d zenon_H9f zenon_H24c zenon_H24d zenon_H94 zenon_H176 zenon_H175 zenon_H174 zenon_Hd zenon_Hc zenon_H10a zenon_Ha zenon_H9c zenon_H135 zenon_H137 zenon_H136. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H23d ]. % 0.76/0.96 apply (zenon_L131_); trivial. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H88 | zenon_intro zenon_H1c4 ]. % 0.76/0.96 apply (zenon_L347_); trivial. % 0.76/0.96 apply (zenon_L180_); trivial. % 0.76/0.96 (* end of lemma zenon_L348_ *) % 0.76/0.96 assert (zenon_L349_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a320)) -> (c2_1 (a320)) -> (~(c0_1 (a320))) -> (~(c0_1 (a214))) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(c3_1 (a236))) -> (c0_1 (a236)) -> (~(c2_1 (a236))) -> (c3_1 (a261)) -> (c2_1 (a261)) -> (c1_1 (a261)) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (c0_1 (a237)) -> (~(c3_1 (a237))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (ndr1_0) -> (c0_1 (a234)) -> (c3_1 (a234)) -> (c1_1 (a234)) -> False). % 0.76/0.96 do 0 intro. intros zenon_Hab zenon_H7b zenon_H7a zenon_H79 zenon_H24b zenon_H1a7 zenon_H23c zenon_H194 zenon_H195 zenon_H193 zenon_H9e zenon_H9d zenon_H9f zenon_H24c zenon_H24d zenon_H94 zenon_H176 zenon_H175 zenon_H174 zenon_Hd zenon_Hc zenon_H10a zenon_Ha zenon_H135 zenon_H137 zenon_H136. % 0.76/0.96 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H78 | zenon_intro zenon_Hac ]. % 0.76/0.96 apply (zenon_L33_); trivial. % 0.76/0.96 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H88 | zenon_intro zenon_H9c ]. % 0.76/0.96 apply (zenon_L235_); trivial. % 0.76/0.96 apply (zenon_L348_); trivial. % 0.76/0.96 (* end of lemma zenon_L349_ *) % 0.76/0.96 assert (zenon_L350_ : ((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a320))) -> (c2_1 (a320)) -> (c3_1 (a320)) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (c0_1 (a237)) -> (~(c3_1 (a237))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(c3_1 (a236))) -> (c0_1 (a236)) -> (~(c2_1 (a236))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> False). % 0.76/0.96 do 0 intro. intros zenon_H144 zenon_H145 zenon_H215 zenon_H79 zenon_H7a zenon_H7b zenon_H24b zenon_H24c zenon_H24d zenon_H23c zenon_Hd zenon_Hc zenon_H10a zenon_H174 zenon_H175 zenon_H176 zenon_H194 zenon_H195 zenon_H193 zenon_H94 zenon_Hab zenon_H13e zenon_H140. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.96 apply (zenon_L75_); trivial. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H216 ]. % 0.76/0.96 apply (zenon_L349_); trivial. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H40 | zenon_intro zenon_H9c ]. % 0.76/0.96 apply (zenon_L178_); trivial. % 0.76/0.96 apply (zenon_L348_); trivial. % 0.76/0.96 (* end of lemma zenon_L350_ *) % 0.76/0.96 assert (zenon_L351_ : ((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a236))) -> (c0_1 (a236)) -> (~(c3_1 (a236))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c3_1 (a237))) -> (c0_1 (a237)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(c3_1 (a255))) -> (~(c1_1 (a255))) -> (~(c0_1 (a255))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> False). % 0.76/0.96 do 0 intro. intros zenon_H144 zenon_H145 zenon_H165 zenon_H94 zenon_H193 zenon_H195 zenon_H194 zenon_H176 zenon_H175 zenon_H174 zenon_H10a zenon_H24d zenon_H24c zenon_Hc zenon_Hd zenon_H23c zenon_Hcc zenon_Hcb zenon_Hca zenon_H13e zenon_H140. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.96 apply (zenon_L75_); trivial. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H168 ]. % 0.76/0.96 apply (zenon_L47_); trivial. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9c | zenon_intro zenon_H13f ]. % 0.76/0.96 apply (zenon_L348_); trivial. % 0.76/0.96 exact (zenon_H13e zenon_H13f). % 0.76/0.96 (* end of lemma zenon_L351_ *) % 0.76/0.96 assert (zenon_L352_ : ((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c3_1 (a237))) -> (c0_1 (a237)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(c0_1 (a223))) -> (c1_1 (a223)) -> (c2_1 (a223)) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> (c0_1 (a236)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> False). % 0.76/0.96 do 0 intro. intros zenon_Hd5 zenon_H148 zenon_H145 zenon_H165 zenon_H94 zenon_H176 zenon_H175 zenon_H174 zenon_H10a zenon_H24d zenon_H24c zenon_Hc zenon_Hd zenon_H23c zenon_H13e zenon_H140 zenon_H21 zenon_H22 zenon_H23 zenon_H193 zenon_H194 zenon_H195 zenon_H217. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha. zenon_intro zenon_Hd7. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.96 apply (zenon_L184_); trivial. % 0.76/0.96 apply (zenon_L351_); trivial. % 0.76/0.96 (* end of lemma zenon_L352_ *) % 0.76/0.96 assert (zenon_L353_ : ((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((hskp25)\/(hskp19)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> (c0_1 (a236)) -> (~(c3_1 (a236))) -> (~(c2_1 (a236))) -> (c2_1 (a223)) -> (c1_1 (a223)) -> (~(c0_1 (a223))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> False). % 0.76/0.96 do 0 intro. intros zenon_H113 zenon_H14b zenon_H165 zenon_H69 zenon_H217 zenon_H195 zenon_H194 zenon_H193 zenon_H23 zenon_H22 zenon_H21 zenon_H140 zenon_H13e zenon_Hab zenon_H94 zenon_H176 zenon_H175 zenon_H174 zenon_H10a zenon_H23c zenon_H24d zenon_H24c zenon_H24b zenon_H215 zenon_H145 zenon_H148 zenon_Hc1. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Ha. zenon_intro zenon_H114. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hd. zenon_intro zenon_H115. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.76/0.96 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H6a | zenon_intro zenon_Hc5 ]. % 0.76/0.96 apply (zenon_L27_); trivial. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc6. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7a. zenon_intro zenon_Hc7. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.96 apply (zenon_L184_); trivial. % 0.76/0.96 apply (zenon_L350_); trivial. % 0.76/0.96 apply (zenon_L352_); trivial. % 0.76/0.96 (* end of lemma zenon_L353_ *) % 0.76/0.96 assert (zenon_L354_ : ((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a236))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a239))/\((c3_1 (a239))/\(~(c1_1 (a239))))))) -> ((hskp12)\/((hskp16)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (c2_1 (a223)) -> (c1_1 (a223)) -> (~(c0_1 (a223))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> ((hskp25)\/(hskp19)) -> (~(hskp4)) -> ((hskp20)\/((hskp23)\/(hskp4))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> False). % 0.76/0.96 do 0 intro. intros zenon_H63 zenon_H1de zenon_H10a zenon_H23c zenon_H28d zenon_H1fd zenon_H14b zenon_H148 zenon_H1c7 zenon_H217 zenon_H13e zenon_H140 zenon_H23 zenon_H22 zenon_H21 zenon_H159 zenon_H165 zenon_H169 zenon_H145 zenon_H1c0 zenon_Hc1 zenon_H1d4 zenon_Had zenon_H23a zenon_H69 zenon_Hd3 zenon_H1a5 zenon_H94 zenon_H176 zenon_H175 zenon_H174 zenon_Hb1 zenon_H1c1 zenon_H1bc zenon_H24b zenon_H24c zenon_H24d zenon_H25c zenon_H1df zenon_H52 zenon_H1a1 zenon_H215 zenon_Hab zenon_H53 zenon_H116. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H64. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H59. zenon_intro zenon_H65. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H16f | zenon_intro zenon_H19c ]. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.76/0.96 apply (zenon_L171_); trivial. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.76/0.96 apply (zenon_L307_); trivial. % 0.76/0.96 apply (zenon_L340_); trivial. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_Ha. zenon_intro zenon_H1e1. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_H1b3. zenon_intro zenon_H1e2. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H1b4. zenon_intro zenon_H1b2. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.76/0.96 apply (zenon_L307_); trivial. % 0.76/0.96 apply (zenon_L324_); trivial. % 0.76/0.96 apply (zenon_L176_); trivial. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Ha. zenon_intro zenon_H114. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hd. zenon_intro zenon_H115. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.76/0.96 apply (zenon_L345_); trivial. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.76/0.96 apply (zenon_L120_); trivial. % 0.76/0.96 apply (zenon_L344_); trivial. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Ha. zenon_intro zenon_H19d. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H195. zenon_intro zenon_H19e. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H193. zenon_intro zenon_H194. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.76/0.96 apply (zenon_L171_); trivial. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.76/0.96 apply (zenon_L307_); trivial. % 0.76/0.96 apply (zenon_L346_); trivial. % 0.76/0.96 apply (zenon_L176_); trivial. % 0.76/0.96 apply (zenon_L353_); trivial. % 0.76/0.96 (* end of lemma zenon_L354_ *) % 0.76/0.96 assert (zenon_L355_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a257)) -> (c0_1 (a257)) -> (~(c3_1 (a257))) -> (ndr1_0) -> (~(c0_1 (a223))) -> (c1_1 (a223)) -> (c2_1 (a223)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (~(hskp26)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> False). % 0.76/0.96 do 0 intro. intros zenon_H145 zenon_H94 zenon_H189 zenon_H188 zenon_H187 zenon_Ha zenon_H21 zenon_H22 zenon_H23 zenon_H140 zenon_H13e zenon_H176 zenon_H175 zenon_H174 zenon_H132 zenon_H217. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.96 apply (zenon_L321_); trivial. % 0.76/0.96 apply (zenon_L100_); trivial. % 0.76/0.96 (* end of lemma zenon_L355_ *) % 0.76/0.96 assert (zenon_L356_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (c0_1 (a226)) -> (~(c2_1 (a226))) -> (~(c1_1 (a226))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37)))))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (c0_1 (a234)) -> (c3_1 (a234)) -> (c1_1 (a234)) -> False). % 0.76/0.96 do 0 intro. intros zenon_H23c zenon_Hf3 zenon_Hf2 zenon_Hf1 zenon_H24d zenon_H24c zenon_H24b zenon_H1a7 zenon_Ha zenon_H9c zenon_H135 zenon_H137 zenon_H136. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H23d ]. % 0.76/0.96 apply (zenon_L53_); trivial. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H88 | zenon_intro zenon_H1c4 ]. % 0.76/0.96 apply (zenon_L235_); trivial. % 0.76/0.96 apply (zenon_L180_); trivial. % 0.76/0.96 (* end of lemma zenon_L356_ *) % 0.76/0.96 assert (zenon_L357_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a320)) -> (c2_1 (a320)) -> (~(c0_1 (a320))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (c0_1 (a226)) -> (~(c2_1 (a226))) -> (~(c1_1 (a226))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37)))))) -> (ndr1_0) -> (c0_1 (a234)) -> (c3_1 (a234)) -> (c1_1 (a234)) -> False). % 0.76/0.96 do 0 intro. intros zenon_Hab zenon_H7b zenon_H7a zenon_H79 zenon_H23c zenon_Hf3 zenon_Hf2 zenon_Hf1 zenon_H24d zenon_H24c zenon_H24b zenon_H1a7 zenon_Ha zenon_H135 zenon_H137 zenon_H136. % 0.76/0.96 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H78 | zenon_intro zenon_Hac ]. % 0.76/0.96 apply (zenon_L33_); trivial. % 0.76/0.96 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H88 | zenon_intro zenon_H9c ]. % 0.76/0.96 apply (zenon_L235_); trivial. % 0.76/0.96 apply (zenon_L356_); trivial. % 0.76/0.96 (* end of lemma zenon_L357_ *) % 0.76/0.96 assert (zenon_L358_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (c1_1 (a234)) -> (c3_1 (a234)) -> (c0_1 (a234)) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c1_1 (a226))) -> (~(c2_1 (a226))) -> (c0_1 (a226)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (c2_1 (a252)) -> (c0_1 (a252)) -> (~(c1_1 (a252))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.76/0.96 do 0 intro. intros zenon_H1bc zenon_H136 zenon_H137 zenon_H135 zenon_H9c zenon_H24b zenon_H24c zenon_H24d zenon_Hf1 zenon_Hf2 zenon_Hf3 zenon_H23c zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_Ha zenon_H16f. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1bf ]. % 0.76/0.96 apply (zenon_L356_); trivial. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H170 ]. % 0.76/0.96 apply (zenon_L111_); trivial. % 0.76/0.96 exact (zenon_H16f zenon_H170). % 0.76/0.96 (* end of lemma zenon_L358_ *) % 0.76/0.96 assert (zenon_L359_ : ((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a252))) -> (c0_1 (a252)) -> (c2_1 (a252)) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(c3_1 (a237))) -> (c0_1 (a237)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a320))) -> (c2_1 (a320)) -> (c3_1 (a320)) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (c0_1 (a226)) -> (~(c2_1 (a226))) -> (~(c1_1 (a226))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> False). % 0.76/0.96 do 0 intro. intros zenon_H144 zenon_H145 zenon_H215 zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_H16f zenon_H1bc zenon_H174 zenon_H175 zenon_H176 zenon_Hc zenon_Hd zenon_H94 zenon_H79 zenon_H7a zenon_H7b zenon_H24b zenon_H24c zenon_H24d zenon_H23c zenon_Hf3 zenon_Hf2 zenon_Hf1 zenon_Hab zenon_H13e zenon_H140. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.96 apply (zenon_L75_); trivial. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H216 ]. % 0.76/0.96 apply (zenon_L357_); trivial. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H40 | zenon_intro zenon_H9c ]. % 0.76/0.96 apply (zenon_L178_); trivial. % 0.76/0.96 apply (zenon_L358_); trivial. % 0.76/0.96 (* end of lemma zenon_L359_ *) % 0.76/0.96 assert (zenon_L360_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a237))) -> (c0_1 (a237)) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (c0_1 (a226)) -> (~(c2_1 (a226))) -> (~(c1_1 (a226))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (c2_1 (a223)) -> (c1_1 (a223)) -> (~(c0_1 (a223))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> (~(hskp19)) -> ((hskp25)\/(hskp19)) -> ((hskp20)\/((hskp23)\/(hskp4))) -> (~(hskp4)) -> (~(c1_1 (a252))) -> (c0_1 (a252)) -> (c2_1 (a252)) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> False). % 0.76/0.96 do 0 intro. intros zenon_H1c1 zenon_Hc1 zenon_H148 zenon_H215 zenon_Hc zenon_Hd zenon_H24b zenon_H24c zenon_H24d zenon_H23c zenon_Hf3 zenon_Hf2 zenon_Hf1 zenon_Hab zenon_H217 zenon_H174 zenon_H175 zenon_H176 zenon_H13e zenon_H140 zenon_H23 zenon_H22 zenon_H21 zenon_H94 zenon_H145 zenon_H67 zenon_H69 zenon_H1a5 zenon_Hd3 zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_H16f zenon_H1bc zenon_H1c0. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H16d | zenon_intro zenon_H190 ]. % 0.76/0.96 apply (zenon_L113_); trivial. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_Ha. zenon_intro zenon_H191. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H188. zenon_intro zenon_H192. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H189. zenon_intro zenon_H187. % 0.76/0.96 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H6a | zenon_intro zenon_Hc5 ]. % 0.76/0.96 apply (zenon_L27_); trivial. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc6. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7a. zenon_intro zenon_Hc7. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.96 apply (zenon_L355_); trivial. % 0.76/0.96 apply (zenon_L359_); trivial. % 0.76/0.96 (* end of lemma zenon_L360_ *) % 0.76/0.96 assert (zenon_L361_ : ((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> (~(c3_1 (a255))) -> (~(c1_1 (a255))) -> (~(c0_1 (a255))) -> (~(hskp11)) -> (~(c1_1 (a252))) -> (c0_1 (a252)) -> (c2_1 (a252)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (c0_1 (a226)) -> (~(c2_1 (a226))) -> (~(c1_1 (a226))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (~(hskp2)) -> False). % 0.76/0.96 do 0 intro. intros zenon_H144 zenon_H165 zenon_Hcc zenon_Hcb zenon_Hca zenon_H16f zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_H23c zenon_Hf3 zenon_Hf2 zenon_Hf1 zenon_H24d zenon_H24c zenon_H24b zenon_H1bc zenon_H13e. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H168 ]. % 0.76/0.96 apply (zenon_L47_); trivial. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9c | zenon_intro zenon_H13f ]. % 0.76/0.96 apply (zenon_L358_); trivial. % 0.76/0.96 exact (zenon_H13e zenon_H13f). % 0.76/0.96 (* end of lemma zenon_L361_ *) % 0.76/0.96 assert (zenon_L362_ : ((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (c0_1 (a226)) -> (~(c2_1 (a226))) -> (~(c1_1 (a226))) -> (~(c1_1 (a252))) -> (c0_1 (a252)) -> (c2_1 (a252)) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (c2_1 (a223)) -> (c1_1 (a223)) -> (~(c0_1 (a223))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> False). % 0.76/0.96 do 0 intro. intros zenon_Hd5 zenon_H148 zenon_H23c zenon_H24d zenon_H24c zenon_H24b zenon_Hf3 zenon_Hf2 zenon_Hf1 zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_H16f zenon_H1bc zenon_H217 zenon_H174 zenon_H175 zenon_H176 zenon_H13e zenon_H140 zenon_H23 zenon_H22 zenon_H21 zenon_H159 zenon_H165 zenon_H169 zenon_H145. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha. zenon_intro zenon_Hd7. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.96 apply (zenon_L322_); trivial. % 0.76/0.96 apply (zenon_L361_); trivial. % 0.76/0.96 (* end of lemma zenon_L362_ *) % 0.76/0.96 assert (zenon_L363_ : ((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> (c2_1 (a223)) -> (c1_1 (a223)) -> (~(c0_1 (a223))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((hskp25)\/(hskp19)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (~(c1_1 (a226))) -> (~(c2_1 (a226))) -> (c0_1 (a226)) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (c3_1 (a225)) -> (~(c2_1 (a225))) -> (~(c0_1 (a225))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a214))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c0_1 (a237)) -> (~(c3_1 (a237))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> (~(c0_1 (a231))) -> (c1_1 (a231)) -> (c3_1 (a231)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> False). % 0.76/0.96 do 0 intro. intros zenon_H4a zenon_H1df zenon_H14b zenon_H217 zenon_H23 zenon_H22 zenon_H21 zenon_H159 zenon_H165 zenon_H169 zenon_H69 zenon_H149 zenon_Hf1 zenon_Hf2 zenon_Hf3 zenon_H24c zenon_H24d zenon_H23c zenon_He9 zenon_He8 zenon_He7 zenon_H140 zenon_H13e zenon_Hab zenon_H24b zenon_H94 zenon_Hd zenon_Hc zenon_H176 zenon_H175 zenon_H174 zenon_H1bc zenon_H16f zenon_H215 zenon_H145 zenon_H148 zenon_Hc1 zenon_H58 zenon_H59 zenon_H5a zenon_H1c7. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.76/0.96 apply (zenon_L120_); trivial. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_Ha. zenon_intro zenon_H1e1. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_H1b3. zenon_intro zenon_H1e2. % 0.76/0.96 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H1b4. zenon_intro zenon_H1b2. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.76/0.96 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H6a | zenon_intro zenon_Hc5 ]. % 0.76/0.96 apply (zenon_L27_); trivial. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc6. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7a. zenon_intro zenon_Hc7. % 0.76/0.96 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 0.76/0.96 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.96 apply (zenon_L272_); trivial. % 0.76/0.96 apply (zenon_L359_); trivial. % 0.76/0.96 apply (zenon_L362_); trivial. % 0.76/0.96 (* end of lemma zenon_L363_ *) % 0.76/0.96 assert (zenon_L364_ : ((ndr1_0)/\((c0_1 (a236))/\((~(c2_1 (a236)))/\(~(c3_1 (a236)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((hskp25)\/(hskp19)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> (c2_1 (a223)) -> (c1_1 (a223)) -> (~(c0_1 (a223))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp12)\/(hskp17))) -> (c0_1 (a226)) -> (~(c2_1 (a226))) -> (~(c1_1 (a226))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> False). % 0.76/0.97 do 0 intro. intros zenon_H19c zenon_H116 zenon_H14b zenon_H165 zenon_H69 zenon_H217 zenon_H23 zenon_H22 zenon_H21 zenon_H140 zenon_H13e zenon_Hab zenon_H94 zenon_H176 zenon_H175 zenon_H174 zenon_H10a zenon_H215 zenon_H145 zenon_H148 zenon_Hc1 zenon_H269 zenon_Hf3 zenon_Hf2 zenon_Hf1 zenon_H23c zenon_H24d zenon_H24c zenon_H24b zenon_H23a zenon_H53. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Ha. zenon_intro zenon_H19d. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H195. zenon_intro zenon_H19e. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H193. zenon_intro zenon_H194. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.76/0.97 apply (zenon_L270_); trivial. % 0.76/0.97 apply (zenon_L353_); trivial. % 0.76/0.97 (* end of lemma zenon_L364_ *) % 0.76/0.97 assert (zenon_L365_ : ((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a236))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(c1_1 (a226))) -> (~(c2_1 (a226))) -> (c0_1 (a226)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp12)\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257))))))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> ((hskp20)\/((hskp23)\/(hskp4))) -> (~(hskp4)) -> ((hskp25)\/(hskp19)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (~(c0_1 (a223))) -> (c1_1 (a223)) -> (c2_1 (a223)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255))))))) -> (~(c0_1 (a225))) -> (~(c2_1 (a225))) -> (c3_1 (a225)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> False). % 0.76/0.97 do 0 intro. intros zenon_H63 zenon_H1de zenon_H10a zenon_H53 zenon_H23a zenon_H24b zenon_H24c zenon_H24d zenon_H23c zenon_Hf1 zenon_Hf2 zenon_Hf3 zenon_H269 zenon_H1df zenon_H1bc zenon_H1c1 zenon_H1a1 zenon_H1a5 zenon_Hd3 zenon_H69 zenon_H145 zenon_H169 zenon_H215 zenon_H94 zenon_Hab zenon_H159 zenon_H21 zenon_H22 zenon_H23 zenon_H140 zenon_H13e zenon_H176 zenon_H175 zenon_H174 zenon_H217 zenon_H1c7 zenon_H148 zenon_Hc1 zenon_H1c0 zenon_H165 zenon_H14b zenon_He7 zenon_He8 zenon_He9 zenon_H149 zenon_H116. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H64. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H59. zenon_intro zenon_H65. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H16f | zenon_intro zenon_H19c ]. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.76/0.97 apply (zenon_L270_); trivial. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Ha. zenon_intro zenon_H114. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hd. zenon_intro zenon_H115. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.76/0.97 apply (zenon_L342_); trivial. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_Ha. zenon_intro zenon_H1e1. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_H1b3. zenon_intro zenon_H1e2. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H1b4. zenon_intro zenon_H1b2. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.76/0.97 apply (zenon_L360_); trivial. % 0.76/0.97 apply (zenon_L362_); trivial. % 0.76/0.97 apply (zenon_L363_); trivial. % 0.76/0.97 apply (zenon_L364_); trivial. % 0.76/0.97 (* end of lemma zenon_L365_ *) % 0.76/0.97 assert (zenon_L366_ : ((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (~(hskp12)) -> False). % 0.76/0.97 do 0 intro. intros zenon_H1bb zenon_H23a zenon_H102 zenon_H101 zenon_H100 zenon_H1. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Ha. zenon_intro zenon_H1bd. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H1aa. zenon_intro zenon_H1be. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H23b ]. % 0.76/0.97 apply (zenon_L110_); trivial. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hff | zenon_intro zenon_H2 ]. % 0.76/0.97 apply (zenon_L55_); trivial. % 0.76/0.97 exact (zenon_H1 zenon_H2). % 0.76/0.97 (* end of lemma zenon_L366_ *) % 0.76/0.97 assert (zenon_L367_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (~(hskp20)) -> (~(hskp4)) -> ((hskp20)\/((hskp23)\/(hskp4))) -> False). % 0.76/0.97 do 0 intro. intros zenon_H1c0 zenon_H23a zenon_H1 zenon_H102 zenon_H101 zenon_H100 zenon_H16d zenon_Hd3 zenon_H1a5. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1bb ]. % 0.76/0.97 apply (zenon_L109_); trivial. % 0.76/0.97 apply (zenon_L366_); trivial. % 0.76/0.97 (* end of lemma zenon_L367_ *) % 0.76/0.97 assert (zenon_L368_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a248)) -> (c1_1 (a248)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (~(hskp9)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp19)) -> ((hskp25)\/(hskp19)) -> ((hskp20)\/((hskp23)\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> (~(hskp12)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> False). % 0.76/0.97 do 0 intro. intros zenon_H1c1 zenon_Hc1 zenon_H145 zenon_H140 zenon_H13e zenon_H4f zenon_H33 zenon_H94 zenon_H176 zenon_H175 zenon_H174 zenon_Had zenon_Hb1 zenon_H67 zenon_H69 zenon_H1a5 zenon_Hd3 zenon_H100 zenon_H101 zenon_H102 zenon_H1 zenon_H23a zenon_H1c0. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H16d | zenon_intro zenon_H190 ]. % 0.76/0.97 apply (zenon_L367_); trivial. % 0.76/0.97 apply (zenon_L124_); trivial. % 0.76/0.97 (* end of lemma zenon_L368_ *) % 0.76/0.97 assert (zenon_L369_ : ((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp5))) -> (~(hskp5)) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> False). % 0.76/0.97 do 0 intro. intros zenon_Hd5 zenon_H148 zenon_H10a zenon_H102 zenon_H101 zenon_H100 zenon_H43 zenon_H42 zenon_H41 zenon_H185 zenon_H10c zenon_H174 zenon_H175 zenon_H176 zenon_H13e zenon_H140 zenon_H159 zenon_H165 zenon_H169 zenon_H145. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha. zenon_intro zenon_Hd7. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.97 apply (zenon_L286_); trivial. % 0.76/0.97 apply (zenon_L78_); trivial. % 0.76/0.97 (* end of lemma zenon_L369_ *) % 0.76/0.97 assert (zenon_L370_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> (~(hskp17)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (~(hskp16)) -> (~(hskp7)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((hskp16)\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> False). % 0.76/0.97 do 0 intro. intros zenon_H1df zenon_H233 zenon_H2a zenon_H24d zenon_H24c zenon_H24b zenon_H1a1 zenon_H2c zenon_H94 zenon_H102 zenon_H101 zenon_H100 zenon_H176 zenon_H175 zenon_H174 zenon_H1d zenon_H15 zenon_H1ea zenon_H145. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.76/0.97 apply (zenon_L141_); trivial. % 0.76/0.97 apply (zenon_L247_); trivial. % 0.76/0.97 (* end of lemma zenon_L370_ *) % 0.76/0.97 assert (zenon_L371_ : ((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a239))) -> (c2_1 (a239)) -> (c3_1 (a239)) -> (~(hskp9)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> ((hskp20)\/((hskp23)\/(hskp4))) -> (~(hskp4)) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> (~(hskp12)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> False). % 0.76/0.97 do 0 intro. intros zenon_H4a zenon_H1c1 zenon_H145 zenon_H94 zenon_H176 zenon_H175 zenon_H174 zenon_H140 zenon_H13e zenon_H1ff zenon_H200 zenon_H201 zenon_Had zenon_Hb1 zenon_H1a5 zenon_Hd3 zenon_H100 zenon_H101 zenon_H102 zenon_H1 zenon_H23a zenon_H1c0. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H16d | zenon_intro zenon_H190 ]. % 0.76/0.97 apply (zenon_L367_); trivial. % 0.76/0.97 apply (zenon_L331_); trivial. % 0.76/0.97 (* end of lemma zenon_L371_ *) % 0.76/0.97 assert (zenon_L372_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a239))) -> (c2_1 (a239)) -> (c3_1 (a239)) -> (~(hskp9)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> ((hskp20)\/((hskp23)\/(hskp4))) -> (~(hskp4)) -> (~(hskp12)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((hskp16)\/(hskp7))) -> (~(hskp7)) -> (~(hskp16)) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(hskp10)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> False). % 0.76/0.97 do 0 intro. intros zenon_H53 zenon_H1c1 zenon_H140 zenon_H13e zenon_H1ff zenon_H200 zenon_H201 zenon_Had zenon_Hb1 zenon_H1a5 zenon_Hd3 zenon_H1 zenon_H23a zenon_H1c0 zenon_H145 zenon_H1ea zenon_H15 zenon_H1d zenon_H174 zenon_H175 zenon_H176 zenon_H100 zenon_H101 zenon_H102 zenon_H94 zenon_H1a1 zenon_H24b zenon_H24c zenon_H24d zenon_H2a zenon_H233 zenon_H1df. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.76/0.97 apply (zenon_L370_); trivial. % 0.76/0.97 apply (zenon_L371_); trivial. % 0.76/0.97 (* end of lemma zenon_L372_ *) % 0.76/0.97 assert (zenon_L373_ : ((ndr1_0)/\((c2_1 (a239))/\((c3_1 (a239))/\(~(c1_1 (a239)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (~(hskp7)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((hskp16)\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp4)) -> ((hskp20)\/((hskp23)\/(hskp4))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> False). % 0.76/0.97 do 0 intro. intros zenon_H208 zenon_H52 zenon_H10a zenon_H1df zenon_H233 zenon_H2a zenon_H24d zenon_H24c zenon_H24b zenon_H1a1 zenon_H94 zenon_H102 zenon_H101 zenon_H100 zenon_H176 zenon_H175 zenon_H174 zenon_H15 zenon_H1ea zenon_H145 zenon_H1c0 zenon_H23a zenon_H1 zenon_Hd3 zenon_H1a5 zenon_Hb1 zenon_Had zenon_H13e zenon_H140 zenon_H1c1 zenon_H53. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_Ha. zenon_intro zenon_H209. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H200. zenon_intro zenon_H20a. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H20a). zenon_intro zenon_H201. zenon_intro zenon_H1ff. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.76/0.97 apply (zenon_L372_); trivial. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.76/0.97 apply (zenon_L251_); trivial. % 0.76/0.97 apply (zenon_L371_); trivial. % 0.76/0.97 (* end of lemma zenon_L373_ *) % 0.76/0.97 assert (zenon_L374_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((hskp16)\/(hskp7))) -> (~(hskp7)) -> (~(hskp16)) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (ndr1_0) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp5))) -> False). % 0.76/0.97 do 0 intro. intros zenon_H145 zenon_H1ea zenon_H15 zenon_H1d zenon_H100 zenon_H101 zenon_H102 zenon_H94 zenon_H140 zenon_H13e zenon_H176 zenon_H175 zenon_H174 zenon_Ha zenon_H10c zenon_H185. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.97 apply (zenon_L98_); trivial. % 0.76/0.97 apply (zenon_L140_); trivial. % 0.76/0.97 (* end of lemma zenon_L374_ *) % 0.76/0.97 assert (zenon_L375_ : ((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((hskp25)\/(hskp19)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp5))) -> (~(hskp5)) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (~(hskp7)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((hskp16)\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> False). % 0.76/0.97 do 0 intro. intros zenon_H113 zenon_H52 zenon_H14b zenon_H165 zenon_H69 zenon_H169 zenon_H215 zenon_H24b zenon_H24c zenon_H24d zenon_Hab zenon_H159 zenon_H10a zenon_H148 zenon_Hc1 zenon_H185 zenon_H10c zenon_H174 zenon_H175 zenon_H176 zenon_H13e zenon_H140 zenon_H94 zenon_H102 zenon_H101 zenon_H100 zenon_H15 zenon_H1ea zenon_H145. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Ha. zenon_intro zenon_H114. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hd. zenon_intro zenon_H115. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.76/0.97 apply (zenon_L374_); trivial. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.76/0.97 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H6a | zenon_intro zenon_Hc5 ]. % 0.76/0.97 apply (zenon_L27_); trivial. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc6. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7a. zenon_intro zenon_Hc7. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.97 apply (zenon_L337_); trivial. % 0.76/0.97 apply (zenon_L78_); trivial. % 0.76/0.97 apply (zenon_L369_); trivial. % 0.76/0.97 (* end of lemma zenon_L375_ *) % 0.76/0.97 assert (zenon_L376_ : ((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp5))) -> (~(hskp5)) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (~(hskp7)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((hskp16)\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> False). % 0.76/0.97 do 0 intro. intros zenon_H63 zenon_H52 zenon_H148 zenon_H149 zenon_H10a zenon_H185 zenon_H10c zenon_H174 zenon_H175 zenon_H176 zenon_H13e zenon_H140 zenon_H94 zenon_H102 zenon_H101 zenon_H100 zenon_H15 zenon_H1ea zenon_H145. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H64. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H59. zenon_intro zenon_H65. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.76/0.97 apply (zenon_L374_); trivial. % 0.76/0.97 apply (zenon_L165_); trivial. % 0.76/0.97 (* end of lemma zenon_L376_ *) % 0.76/0.97 assert (zenon_L377_ : ((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(~(c0_1 (a223)))))) -> ((~(hskp8))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c2_1 (a225))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> False). % 0.76/0.97 do 0 intro. intros zenon_H124 zenon_H298 zenon_H10f zenon_H10c zenon_H102 zenon_H101 zenon_H100 zenon_H174 zenon_H175 zenon_H176 zenon_H4c. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Ha. zenon_intro zenon_H125. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H22. zenon_intro zenon_H126. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H23. zenon_intro zenon_H21. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H3e | zenon_intro zenon_H10e ]. % 0.76/0.97 apply (zenon_L104_); trivial. % 0.76/0.97 apply (zenon_L61_); trivial. % 0.76/0.97 (* end of lemma zenon_L377_ *) % 0.76/0.97 assert (zenon_L378_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (~(hskp18)) -> (~(hskp17)) -> ((hskp18)\/((hskp27)\/(hskp17))) -> ((hskp20)\/((hskp23)\/(hskp4))) -> (~(hskp4)) -> ((hskp25)\/(hskp19)) -> (~(hskp19)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> False). % 0.76/0.97 do 0 intro. intros zenon_H1c1 zenon_H145 zenon_H94 zenon_H176 zenon_H175 zenon_H174 zenon_H19f zenon_H2c zenon_H1a1 zenon_H1a5 zenon_Hd3 zenon_H69 zenon_H67 zenon_H23a zenon_H1 zenon_Had zenon_H1d4 zenon_Hc1 zenon_H1c0. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H16d | zenon_intro zenon_H190 ]. % 0.76/0.97 apply (zenon_L284_); trivial. % 0.76/0.97 apply (zenon_L107_); trivial. % 0.76/0.97 (* end of lemma zenon_L378_ *) % 0.76/0.97 assert (zenon_L379_ : ((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> (~(hskp10)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp10))) -> (~(hskp18)) -> (~(hskp17)) -> ((hskp18)\/((hskp27)\/(hskp17))) -> False). % 0.76/0.97 do 0 intro. intros zenon_Hd5 zenon_H145 zenon_H165 zenon_H13e zenon_H118 zenon_H119 zenon_H11a zenon_H2a zenon_H1f1 zenon_H19f zenon_H2c zenon_H1a1. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha. zenon_intro zenon_Hd7. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.97 apply (zenon_L106_); trivial. % 0.76/0.97 apply (zenon_L152_); trivial. % 0.76/0.97 (* end of lemma zenon_L379_ *) % 0.76/0.97 assert (zenon_L380_ : ((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> (~(hskp10)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp12)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> ((hskp25)\/(hskp19)) -> (~(hskp4)) -> ((hskp20)\/((hskp23)\/(hskp4))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257))))))) -> False). % 0.76/0.97 do 0 intro. intros zenon_H4a zenon_H14b zenon_H165 zenon_H118 zenon_H119 zenon_H11a zenon_H2a zenon_H1f1 zenon_H1c0 zenon_Hc1 zenon_H1d4 zenon_Had zenon_H1 zenon_H23a zenon_H69 zenon_Hd3 zenon_H1a5 zenon_Hb1 zenon_H174 zenon_H175 zenon_H176 zenon_H94 zenon_H13e zenon_H140 zenon_H145 zenon_H1c1. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.76/0.97 apply (zenon_L285_); trivial. % 0.76/0.97 apply (zenon_L153_); trivial. % 0.76/0.97 (* end of lemma zenon_L380_ *) % 0.76/0.97 assert (zenon_L381_ : ((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> (~(hskp10)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp10))) -> (~(c3_1 (a255))) -> (~(c1_1 (a255))) -> (~(c0_1 (a255))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(c0_1 (a225))) -> (~(c2_1 (a225))) -> (c3_1 (a225)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((hskp26)\/(hskp9))) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> False). % 0.76/0.97 do 0 intro. intros zenon_H1bb zenon_H148 zenon_H145 zenon_H165 zenon_H118 zenon_H119 zenon_H11a zenon_H2a zenon_H1f1 zenon_Hcc zenon_Hcb zenon_Hca zenon_H13e zenon_H140 zenon_He7 zenon_He8 zenon_He9 zenon_H288 zenon_Had zenon_H149. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Ha. zenon_intro zenon_H1bd. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H1aa. zenon_intro zenon_H1be. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.97 apply (zenon_L313_); trivial. % 0.76/0.97 apply (zenon_L275_); trivial. % 0.76/0.97 (* end of lemma zenon_L381_ *) % 0.76/0.97 assert (zenon_L382_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(c3_1 (a237))) -> (c0_1 (a237)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a320))) -> (c2_1 (a320)) -> (c3_1 (a320)) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp26)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a248)) -> (c1_1 (a248)) -> (ndr1_0) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> (~(hskp10)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp10))) -> False). % 0.76/0.97 do 0 intro. intros zenon_H145 zenon_H169 zenon_H215 zenon_H174 zenon_H175 zenon_H176 zenon_Hc zenon_Hd zenon_H94 zenon_H79 zenon_H7a zenon_H7b zenon_H24b zenon_H24c zenon_H24d zenon_Hab zenon_H132 zenon_H159 zenon_H140 zenon_H13e zenon_H4f zenon_H33 zenon_Ha zenon_H118 zenon_H119 zenon_H11a zenon_H2a zenon_H1f1. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.97 apply (zenon_L150_); trivial. % 0.76/0.97 apply (zenon_L336_); trivial. % 0.76/0.97 (* end of lemma zenon_L382_ *) % 0.76/0.97 assert (zenon_L383_ : ((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((hskp16)\/(hskp7))) -> (~(hskp7)) -> (~(hskp16)) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> False). % 0.76/0.97 do 0 intro. intros zenon_H144 zenon_H145 zenon_H1ea zenon_H15 zenon_H1d zenon_H174 zenon_H175 zenon_H176 zenon_H100 zenon_H101 zenon_H102 zenon_H94 zenon_H13e zenon_H140. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.97 apply (zenon_L75_); trivial. % 0.76/0.97 apply (zenon_L140_); trivial. % 0.76/0.97 (* end of lemma zenon_L383_ *) % 0.76/0.97 assert (zenon_L384_ : ((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (~(hskp7)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((hskp16)\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp10))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((hskp25)\/(hskp19)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> False). % 0.76/0.97 do 0 intro. intros zenon_H113 zenon_H52 zenon_H10a zenon_H1df zenon_H233 zenon_H2a zenon_H24d zenon_H24c zenon_H24b zenon_H1a1 zenon_H94 zenon_H102 zenon_H101 zenon_H100 zenon_H176 zenon_H175 zenon_H174 zenon_H15 zenon_H1ea zenon_H145 zenon_Hc1 zenon_H148 zenon_H1f1 zenon_H11a zenon_H119 zenon_H118 zenon_H13e zenon_H140 zenon_H159 zenon_Hab zenon_H215 zenon_H169 zenon_H69 zenon_H165 zenon_H14b zenon_H53. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Ha. zenon_intro zenon_H114. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hd. zenon_intro zenon_H115. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.76/0.97 apply (zenon_L370_); trivial. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.76/0.97 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H6a | zenon_intro zenon_Hc5 ]. % 0.76/0.97 apply (zenon_L27_); trivial. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc6. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7a. zenon_intro zenon_Hc7. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.97 apply (zenon_L382_); trivial. % 0.76/0.97 apply (zenon_L383_); trivial. % 0.76/0.97 apply (zenon_L153_); trivial. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.76/0.97 apply (zenon_L251_); trivial. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.76/0.97 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H6a | zenon_intro zenon_Hc5 ]. % 0.76/0.97 apply (zenon_L27_); trivial. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc6. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7a. zenon_intro zenon_Hc7. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.97 apply (zenon_L382_); trivial. % 0.76/0.97 apply (zenon_L78_); trivial. % 0.76/0.97 apply (zenon_L153_); trivial. % 0.76/0.97 (* end of lemma zenon_L384_ *) % 0.76/0.97 assert (zenon_L385_ : ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp14))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (ndr1_0) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37)))))) -> (~(hskp14)) -> False). % 0.76/0.97 do 0 intro. intros zenon_H275 zenon_H24d zenon_H24c zenon_H24b zenon_H101 zenon_H100 zenon_Ha zenon_H1a7 zenon_H273. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H22e | zenon_intro zenon_H276 ]. % 0.76/0.97 apply (zenon_L246_); trivial. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H82 | zenon_intro zenon_H274 ]. % 0.76/0.97 apply (zenon_L144_); trivial. % 0.76/0.97 exact (zenon_H273 zenon_H274). % 0.76/0.97 (* end of lemma zenon_L385_ *) % 0.76/0.97 assert (zenon_L386_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(hskp14)) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp14))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.76/0.97 do 0 intro. intros zenon_H23a zenon_H273 zenon_H24b zenon_H24c zenon_H24d zenon_H275 zenon_H102 zenon_H101 zenon_H100 zenon_Ha zenon_H1. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H23b ]. % 0.76/0.97 apply (zenon_L385_); trivial. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hff | zenon_intro zenon_H2 ]. % 0.76/0.97 apply (zenon_L55_); trivial. % 0.76/0.97 exact (zenon_H1 zenon_H2). % 0.76/0.97 (* end of lemma zenon_L386_ *) % 0.76/0.97 assert (zenon_L387_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (~(hskp9)) -> (~(c1_1 (a241))) -> (~(c0_1 (a241))) -> (c3_1 (a241)) -> (~(c0_1 (a231))) -> (c1_1 (a231)) -> (c3_1 (a231)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (ndr1_0) -> (~(hskp26)) -> False). % 0.76/0.97 do 0 intro. intros zenon_H149 zenon_Had zenon_H277 zenon_H278 zenon_H279 zenon_H58 zenon_H59 zenon_H5a zenon_Hb1 zenon_H102 zenon_H101 zenon_H100 zenon_Ha zenon_H132. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ]. % 0.76/0.97 apply (zenon_L297_); trivial. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hff | zenon_intro zenon_H133 ]. % 0.76/0.97 apply (zenon_L55_); trivial. % 0.76/0.97 exact (zenon_H132 zenon_H133). % 0.76/0.97 (* end of lemma zenon_L387_ *) % 0.76/0.97 assert (zenon_L388_ : ((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a241)) -> (~(c0_1 (a241))) -> (~(c1_1 (a241))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (~(c0_1 (a231))) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> False). % 0.76/0.97 do 0 intro. intros zenon_H54 zenon_H148 zenon_H145 zenon_H10a zenon_H13e zenon_H140 zenon_Hb1 zenon_Had zenon_H279 zenon_H278 zenon_H277 zenon_H5a zenon_H59 zenon_H58 zenon_H100 zenon_H101 zenon_H102 zenon_H149. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.97 apply (zenon_L387_); trivial. % 0.76/0.97 apply (zenon_L78_); trivial. % 0.76/0.97 (* end of lemma zenon_L388_ *) % 0.76/0.97 assert (zenon_L389_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a239))/\((c3_1 (a239))/\(~(c1_1 (a239))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a220)) -> (ndr1_0) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp14))) -> ((hskp12)\/((hskp16)\/(hskp13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (~(c0_1 (a231))) -> (c1_1 (a231)) -> (c3_1 (a231)) -> (~(hskp9)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a241))/\((~(c0_1 (a241)))/\(~(c1_1 (a241))))))) -> False). % 0.76/0.97 do 0 intro. intros zenon_H28d zenon_H23a zenon_H1 zenon_H102 zenon_Ha zenon_H24b zenon_H24c zenon_H24d zenon_H100 zenon_H101 zenon_H275 zenon_H1fd zenon_H149 zenon_H58 zenon_H59 zenon_H5a zenon_Had zenon_Hb1 zenon_H140 zenon_H13e zenon_H10a zenon_H145 zenon_H148 zenon_H52 zenon_H28e. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H273 | zenon_intro zenon_H28a ]. % 0.76/0.97 apply (zenon_L386_); trivial. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_Ha. zenon_intro zenon_H28b. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H279. zenon_intro zenon_H28c. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H278. zenon_intro zenon_H277. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.76/0.97 apply (zenon_L171_); trivial. % 0.76/0.97 apply (zenon_L388_); trivial. % 0.76/0.97 apply (zenon_L176_); trivial. % 0.76/0.97 (* end of lemma zenon_L389_ *) % 0.76/0.97 assert (zenon_L390_ : ((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a236))) -> (c0_1 (a236)) -> (~(c3_1 (a236))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c3_1 (a237))) -> (c0_1 (a237)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((forall X94 : zenon_U, ((ndr1_0)->((c1_1 X94)\/((~(c0_1 X94))\/(~(c3_1 X94))))))\/((hskp16)\/(hskp4))) -> (~(hskp4)) -> (~(hskp16)) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> False). % 0.76/0.97 do 0 intro. intros zenon_Hd5 zenon_H148 zenon_H145 zenon_H165 zenon_H94 zenon_H193 zenon_H195 zenon_H194 zenon_H176 zenon_H175 zenon_H174 zenon_H10a zenon_H24d zenon_H24c zenon_Hc zenon_Hd zenon_H23c zenon_H13e zenon_H140 zenon_H1ec zenon_Hd3 zenon_H1d zenon_H11a zenon_H119 zenon_H118 zenon_H100 zenon_H101 zenon_H102 zenon_H149. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha. zenon_intro zenon_Hd7. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.97 apply (zenon_L143_); trivial. % 0.76/0.97 apply (zenon_L351_); trivial. % 0.76/0.97 (* end of lemma zenon_L390_ *) % 0.76/0.97 assert (zenon_L391_ : ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((hskp25)\/(hskp19)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> (~(hskp16)) -> (~(hskp4)) -> ((forall X94 : zenon_U, ((ndr1_0)->((c1_1 X94)\/((~(c0_1 X94))\/(~(c3_1 X94))))))\/((hskp16)\/(hskp4))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a236))) -> (c0_1 (a236)) -> (~(c3_1 (a236))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c3_1 (a237))) -> (c0_1 (a237)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> False). % 0.76/0.97 do 0 intro. intros zenon_H14b zenon_H165 zenon_H69 zenon_H149 zenon_H102 zenon_H101 zenon_H100 zenon_H118 zenon_H119 zenon_H11a zenon_H1d zenon_Hd3 zenon_H1ec zenon_H140 zenon_H13e zenon_Hab zenon_H94 zenon_H193 zenon_H195 zenon_H194 zenon_H176 zenon_H175 zenon_H174 zenon_H10a zenon_Hc zenon_Hd zenon_H23c zenon_H24d zenon_H24c zenon_H24b zenon_H215 zenon_H145 zenon_H148 zenon_Hc1. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.76/0.97 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H6a | zenon_intro zenon_Hc5 ]. % 0.76/0.97 apply (zenon_L27_); trivial. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc6. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7a. zenon_intro zenon_Hc7. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.97 apply (zenon_L143_); trivial. % 0.76/0.97 apply (zenon_L350_); trivial. % 0.76/0.97 apply (zenon_L390_); trivial. % 0.76/0.97 (* end of lemma zenon_L391_ *) % 0.76/0.97 assert (zenon_L392_ : ((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (~(c0_1 (a231))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(c3_1 (a236))) -> (c0_1 (a236)) -> (~(c2_1 (a236))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((forall X94 : zenon_U, ((ndr1_0)->((c1_1 X94)\/((~(c0_1 X94))\/(~(c3_1 X94))))))\/((hskp16)\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> ((hskp25)\/(hskp19)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255))))))) -> False). % 0.76/0.97 do 0 intro. intros zenon_H113 zenon_H52 zenon_H5a zenon_H59 zenon_H58 zenon_Hc1 zenon_H148 zenon_H145 zenon_H215 zenon_H24b zenon_H24c zenon_H24d zenon_H23c zenon_H10a zenon_H174 zenon_H175 zenon_H176 zenon_H194 zenon_H195 zenon_H193 zenon_H94 zenon_Hab zenon_H13e zenon_H140 zenon_H1ec zenon_Hd3 zenon_H11a zenon_H119 zenon_H118 zenon_H100 zenon_H101 zenon_H102 zenon_H149 zenon_H69 zenon_H165 zenon_H14b. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Ha. zenon_intro zenon_H114. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hd. zenon_intro zenon_H115. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.76/0.97 apply (zenon_L391_); trivial. % 0.76/0.97 apply (zenon_L165_); trivial. % 0.76/0.97 (* end of lemma zenon_L392_ *) % 0.76/0.97 assert (zenon_L393_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a225)) -> (~(c2_1 (a225))) -> (~(c0_1 (a225))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a241))/\((~(c0_1 (a241)))/\(~(c1_1 (a241))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (~(c0_1 (a231))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> ((hskp12)\/((hskp16)\/(hskp13))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp14))) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (ndr1_0) -> (c2_1 (a220)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a239))/\((c3_1 (a239))/\(~(c1_1 (a239))))))) -> False). % 0.76/0.97 do 0 intro. intros zenon_H116 zenon_H1df zenon_H1bc zenon_H16f zenon_He9 zenon_He8 zenon_He7 zenon_H94 zenon_H176 zenon_H175 zenon_H174 zenon_H1c7 zenon_H215 zenon_H28e zenon_H52 zenon_H148 zenon_H145 zenon_H10a zenon_H13e zenon_H140 zenon_Hb1 zenon_Had zenon_H5a zenon_H59 zenon_H58 zenon_H149 zenon_H1fd zenon_H275 zenon_H101 zenon_H100 zenon_H24d zenon_H24c zenon_H24b zenon_Ha zenon_H102 zenon_H23a zenon_H28d. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.76/0.97 apply (zenon_L389_); trivial. % 0.76/0.97 apply (zenon_L183_); trivial. % 0.76/0.97 (* end of lemma zenon_L393_ *) % 0.76/0.97 assert (zenon_L394_ : ((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c2_1 (a236))) -> (c0_1 (a236)) -> (~(c3_1 (a236))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(c3_1 (a237))) -> (c0_1 (a237)) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> False). % 0.76/0.97 do 0 intro. intros zenon_H144 zenon_H145 zenon_H215 zenon_H193 zenon_H195 zenon_H194 zenon_H10a zenon_H24d zenon_H24c zenon_H23c zenon_Hc zenon_Hd zenon_H174 zenon_H175 zenon_H176 zenon_H100 zenon_H101 zenon_H94 zenon_H13e zenon_H140. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.97 apply (zenon_L75_); trivial. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H216 ]. % 0.76/0.97 apply (zenon_L145_); trivial. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H40 | zenon_intro zenon_H9c ]. % 0.76/0.97 apply (zenon_L178_); trivial. % 0.76/0.97 apply (zenon_L348_); trivial. % 0.76/0.97 (* end of lemma zenon_L394_ *) % 0.76/0.97 assert (zenon_L395_ : ((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(c0_1 (a223))) -> (c1_1 (a223)) -> (c2_1 (a223)) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> (c0_1 (a236)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> False). % 0.76/0.97 do 0 intro. intros zenon_H113 zenon_H148 zenon_H145 zenon_H215 zenon_H10a zenon_H24d zenon_H24c zenon_H23c zenon_H174 zenon_H175 zenon_H176 zenon_H100 zenon_H101 zenon_H94 zenon_H13e zenon_H140 zenon_H21 zenon_H22 zenon_H23 zenon_H193 zenon_H194 zenon_H195 zenon_H217. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Ha. zenon_intro zenon_H114. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hd. zenon_intro zenon_H115. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.97 apply (zenon_L184_); trivial. % 0.76/0.97 apply (zenon_L394_); trivial. % 0.76/0.97 (* end of lemma zenon_L395_ *) % 0.76/0.97 assert (zenon_L396_ : ((ndr1_0)/\((c0_1 (a236))/\((~(c2_1 (a236)))/\(~(c3_1 (a236)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(c0_1 (a223))) -> (c1_1 (a223)) -> (c2_1 (a223)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> ((hskp12)\/((hskp16)\/(hskp13))) -> (~(c0_1 (a231))) -> (c1_1 (a231)) -> (c3_1 (a231)) -> (~(hskp9)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a239))/\((c3_1 (a239))/\(~(c1_1 (a239))))))) -> False). % 0.76/0.97 do 0 intro. intros zenon_H19c zenon_H116 zenon_H215 zenon_H24d zenon_H24c zenon_H23c zenon_H174 zenon_H175 zenon_H176 zenon_H94 zenon_H52 zenon_H148 zenon_H145 zenon_H10a zenon_H102 zenon_H101 zenon_H100 zenon_H13e zenon_H140 zenon_H21 zenon_H22 zenon_H23 zenon_H217 zenon_H1fd zenon_H58 zenon_H59 zenon_H5a zenon_Had zenon_Hb1 zenon_H28d. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Ha. zenon_intro zenon_H19d. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H195. zenon_intro zenon_H19e. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H193. zenon_intro zenon_H194. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.76/0.97 apply (zenon_L171_); trivial. % 0.76/0.97 apply (zenon_L185_); trivial. % 0.76/0.97 apply (zenon_L176_); trivial. % 0.76/0.97 apply (zenon_L395_); trivial. % 0.76/0.97 (* end of lemma zenon_L396_ *) % 0.76/0.97 assert (zenon_L397_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (c3_1 (a225)) -> (~(c2_1 (a225))) -> (~(c0_1 (a225))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (~(c0_1 (a231))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp12)\/(hskp17))) -> (c0_1 (a226)) -> (~(c2_1 (a226))) -> (~(c1_1 (a226))) -> (ndr1_0) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> False). % 0.76/0.97 do 0 intro. intros zenon_H116 zenon_H1df zenon_H1bc zenon_H16f zenon_H149 zenon_H102 zenon_H101 zenon_H100 zenon_He9 zenon_He8 zenon_He7 zenon_H140 zenon_H13e zenon_H94 zenon_H176 zenon_H175 zenon_H174 zenon_H1c7 zenon_H5a zenon_H59 zenon_H58 zenon_H215 zenon_H145 zenon_H148 zenon_H269 zenon_Hf3 zenon_Hf2 zenon_Hf1 zenon_Ha zenon_H23c zenon_H24d zenon_H24c zenon_H24b zenon_H23a zenon_H53. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.76/0.97 apply (zenon_L270_); trivial. % 0.76/0.97 apply (zenon_L183_); trivial. % 0.76/0.97 (* end of lemma zenon_L397_ *) % 0.76/0.97 assert (zenon_L398_ : ((ndr1_0)/\((c0_1 (a226))/\((~(c1_1 (a226)))/\(~(c2_1 (a226)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a236))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp12)\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(c0_1 (a225))) -> (~(c2_1 (a225))) -> (c3_1 (a225)) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp15))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> (c2_1 (a223)) -> (c1_1 (a223)) -> (~(c0_1 (a223))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c1_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a242))/\((~(c0_1 (a242)))/\(~(c2_1 (a242))))))) -> False). % 0.76/0.97 do 0 intro. intros zenon_Hfa zenon_H66 zenon_H1de zenon_H10a zenon_H217 zenon_H53 zenon_H23a zenon_H24b zenon_H24c zenon_H24d zenon_H23c zenon_H269 zenon_H148 zenon_H145 zenon_H215 zenon_H1c7 zenon_H174 zenon_H175 zenon_H176 zenon_H94 zenon_H13e zenon_H140 zenon_He7 zenon_He8 zenon_He9 zenon_H100 zenon_H101 zenon_H102 zenon_H149 zenon_H1bc zenon_H1df zenon_H116 zenon_H121 zenon_H11a zenon_H119 zenon_H118 zenon_H23 zenon_H22 zenon_H21 zenon_Hb0 zenon_H123. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf3. zenon_intro zenon_Hfd. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.76/0.97 apply (zenon_L66_); trivial. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H64. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H59. zenon_intro zenon_H65. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H16f | zenon_intro zenon_H19c ]. % 0.76/0.97 apply (zenon_L397_); trivial. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Ha. zenon_intro zenon_H19d. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H195. zenon_intro zenon_H19e. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H193. zenon_intro zenon_H194. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.76/0.97 apply (zenon_L270_); trivial. % 0.76/0.97 apply (zenon_L395_); trivial. % 0.76/0.97 (* end of lemma zenon_L398_ *) % 0.76/0.97 assert (zenon_L399_ : (forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))) -> (ndr1_0) -> (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (~(c0_1 (a231))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> False). % 0.76/0.97 do 0 intro. intros zenon_H1c4 zenon_Ha zenon_H78 zenon_H58 zenon_H5a zenon_H59. % 0.76/0.97 generalize (zenon_H1c4 (a231)). zenon_intro zenon_H238. % 0.76/0.97 apply (zenon_imply_s _ _ zenon_H238); [ zenon_intro zenon_H9 | zenon_intro zenon_H239 ]. % 0.76/0.97 exact (zenon_H9 zenon_Ha). % 0.76/0.97 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H5d ]. % 0.76/0.97 generalize (zenon_H78 (a231)). zenon_intro zenon_H26e. % 0.76/0.97 apply (zenon_imply_s _ _ zenon_H26e); [ zenon_intro zenon_H9 | zenon_intro zenon_H26f ]. % 0.76/0.97 exact (zenon_H9 zenon_Ha). % 0.76/0.97 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H5e | zenon_intro zenon_H1f6 ]. % 0.76/0.97 exact (zenon_H58 zenon_H5e). % 0.76/0.97 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H5f ]. % 0.76/0.97 exact (zenon_H1f7 zenon_H1f3). % 0.76/0.97 exact (zenon_H5f zenon_H5a). % 0.76/0.97 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H60 | zenon_intro zenon_H5f ]. % 0.76/0.97 exact (zenon_H60 zenon_H59). % 0.76/0.97 exact (zenon_H5f zenon_H5a). % 0.76/0.97 (* end of lemma zenon_L399_ *) % 0.76/0.97 assert (zenon_L400_ : ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> (c1_1 (a231)) -> (c3_1 (a231)) -> (~(c0_1 (a231))) -> (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (ndr1_0) -> (~(hskp18)) -> False). % 0.76/0.97 do 0 intro. intros zenon_H1c7 zenon_H59 zenon_H5a zenon_H58 zenon_H78 zenon_Ha zenon_H19f. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c8 ]. % 0.76/0.97 apply (zenon_L22_); trivial. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1a0 ]. % 0.76/0.97 apply (zenon_L399_); trivial. % 0.76/0.97 exact (zenon_H19f zenon_H1a0). % 0.76/0.97 (* end of lemma zenon_L400_ *) % 0.76/0.97 assert (zenon_L401_ : ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(c1_1 (a217))) -> (forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19)))))) -> (~(hskp18)) -> (ndr1_0) -> (~(c0_1 (a231))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> (~(hskp9)) -> False). % 0.76/0.97 do 0 intro. intros zenon_H1d4 zenon_H14e zenon_H14f zenon_H14d zenon_H40 zenon_H19f zenon_Ha zenon_H58 zenon_H5a zenon_H59 zenon_H1c7 zenon_Had. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1d5 ]. % 0.76/0.97 apply (zenon_L253_); trivial. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hae ]. % 0.76/0.97 apply (zenon_L400_); trivial. % 0.76/0.97 exact (zenon_Had zenon_Hae). % 0.76/0.97 (* end of lemma zenon_L401_ *) % 0.76/0.97 assert (zenon_L402_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c0_1 (a320))) -> (c2_1 (a320)) -> (c3_1 (a320)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp9)) -> (~(c1_1 (a217))) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (~(c0_1 (a231))) -> (c1_1 (a234)) -> (c3_1 (a234)) -> (c0_1 (a234)) -> (ndr1_0) -> (~(hskp18)) -> False). % 0.76/0.97 do 0 intro. intros zenon_H215 zenon_H24b zenon_H24c zenon_H24d zenon_H1d0 zenon_H25c zenon_H79 zenon_H7a zenon_H7b zenon_Hab zenon_Had zenon_H14d zenon_H14f zenon_H14e zenon_H1d4 zenon_H1c7 zenon_H5a zenon_H59 zenon_H58 zenon_H136 zenon_H137 zenon_H135 zenon_Ha zenon_H19f. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H216 ]. % 0.76/0.97 apply (zenon_L258_); trivial. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H40 | zenon_intro zenon_H9c ]. % 0.76/0.97 apply (zenon_L401_); trivial. % 0.76/0.97 apply (zenon_L181_); trivial. % 0.76/0.97 (* end of lemma zenon_L402_ *) % 0.76/0.97 assert (zenon_L403_ : ((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c0_1 (a231))) -> (c1_1 (a231)) -> (c3_1 (a231)) -> (~(hskp18)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> (~(c1_1 (a217))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> False). % 0.76/0.97 do 0 intro. intros zenon_Hc5 zenon_H148 zenon_H25c zenon_H58 zenon_H59 zenon_H5a zenon_H19f zenon_H1c7 zenon_H156 zenon_H13e zenon_H14f zenon_H14e zenon_H14d zenon_H159 zenon_Hab zenon_H24d zenon_H24c zenon_H24b zenon_H1d4 zenon_Had zenon_H215 zenon_H169 zenon_H145. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc6. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7a. zenon_intro zenon_Hc7. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.97 apply (zenon_L256_); trivial. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1d5 ]. % 0.76/0.97 apply (zenon_L402_); trivial. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hae ]. % 0.76/0.97 apply (zenon_L400_); trivial. % 0.76/0.97 exact (zenon_Had zenon_Hae). % 0.76/0.97 (* end of lemma zenon_L403_ *) % 0.76/0.97 assert (zenon_L404_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c0_1 (a231))) -> (c1_1 (a231)) -> (c3_1 (a231)) -> (~(hskp18)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> (~(c1_1 (a217))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> (~(hskp19)) -> ((hskp25)\/(hskp19)) -> False). % 0.76/0.97 do 0 intro. intros zenon_Hc1 zenon_H148 zenon_H25c zenon_H58 zenon_H59 zenon_H5a zenon_H19f zenon_H1c7 zenon_H156 zenon_H13e zenon_H14f zenon_H14e zenon_H14d zenon_H159 zenon_Hab zenon_H24d zenon_H24c zenon_H24b zenon_H1d4 zenon_Had zenon_H215 zenon_H169 zenon_H145 zenon_H67 zenon_H69. % 0.76/0.97 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H6a | zenon_intro zenon_Hc5 ]. % 0.76/0.97 apply (zenon_L27_); trivial. % 0.76/0.97 apply (zenon_L403_); trivial. % 0.76/0.97 (* end of lemma zenon_L404_ *) % 0.76/0.97 assert (zenon_L405_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18))))) -> (~(c1_1 (a217))) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> (~(c0_1 (a320))) -> (c2_1 (a320)) -> (c3_1 (a320)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (c3_1 (a234)) -> (c0_1 (a234)) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c1_1 (a245))) -> (~(c3_1 (a245))) -> (c0_1 (a245)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a252)) -> (c0_1 (a252)) -> (~(c1_1 (a252))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.76/0.97 do 0 intro. intros zenon_H215 zenon_H1d0 zenon_H14d zenon_H14f zenon_H14e zenon_H79 zenon_H7a zenon_H7b zenon_Hab zenon_H1bc zenon_H137 zenon_H135 zenon_H24b zenon_H24c zenon_H24d zenon_H41 zenon_H42 zenon_H43 zenon_H25c zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_Ha zenon_H16f. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H216 ]. % 0.76/0.97 apply (zenon_L258_); trivial. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H40 | zenon_intro zenon_H9c ]. % 0.76/0.97 apply (zenon_L19_); trivial. % 0.76/0.97 apply (zenon_L302_); trivial. % 0.76/0.97 (* end of lemma zenon_L405_ *) % 0.76/0.97 assert (zenon_L406_ : ((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp11)) -> (~(c1_1 (a252))) -> (c0_1 (a252)) -> (c2_1 (a252)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(c1_1 (a217))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a320)) -> (c2_1 (a320)) -> (~(c0_1 (a320))) -> (~(hskp9)) -> False). % 0.76/0.97 do 0 intro. intros zenon_H144 zenon_H1d4 zenon_H16f zenon_H1b2 zenon_H1b3 zenon_H1b4 zenon_H25c zenon_H43 zenon_H42 zenon_H41 zenon_H24d zenon_H24c zenon_H24b zenon_H1bc zenon_Hab zenon_H14e zenon_H14f zenon_H14d zenon_H215 zenon_H7b zenon_H7a zenon_H79 zenon_Had. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1d5 ]. % 0.76/0.97 apply (zenon_L405_); trivial. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hae ]. % 0.76/0.97 apply (zenon_L33_); trivial. % 0.76/0.97 exact (zenon_Had zenon_Hae). % 0.76/0.97 (* end of lemma zenon_L406_ *) % 0.76/0.97 assert (zenon_L407_ : ((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a245))) -> (~(c3_1 (a245))) -> (c0_1 (a245)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (~(hskp11)) -> (c2_1 (a252)) -> (c0_1 (a252)) -> (~(c1_1 (a252))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> (~(c1_1 (a217))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> False). % 0.76/0.97 do 0 intro. intros zenon_Hc5 zenon_H148 zenon_H25c zenon_H41 zenon_H42 zenon_H43 zenon_H1bc zenon_H16f zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_H156 zenon_H13e zenon_H14f zenon_H14e zenon_H14d zenon_H159 zenon_Hab zenon_H24d zenon_H24c zenon_H24b zenon_H1d4 zenon_Had zenon_H215 zenon_H169 zenon_H145. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc6. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7a. zenon_intro zenon_Hc7. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.97 apply (zenon_L256_); trivial. % 0.76/0.97 apply (zenon_L406_); trivial. % 0.76/0.97 (* end of lemma zenon_L407_ *) % 0.76/0.97 assert (zenon_L408_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a245))) -> (~(c3_1 (a245))) -> (c0_1 (a245)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (~(hskp11)) -> (c2_1 (a252)) -> (c0_1 (a252)) -> (~(c1_1 (a252))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> (~(c1_1 (a217))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> (~(hskp19)) -> ((hskp25)\/(hskp19)) -> False). % 0.76/0.97 do 0 intro. intros zenon_Hc1 zenon_H148 zenon_H25c zenon_H41 zenon_H42 zenon_H43 zenon_H1bc zenon_H16f zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_H156 zenon_H13e zenon_H14f zenon_H14e zenon_H14d zenon_H159 zenon_Hab zenon_H24d zenon_H24c zenon_H24b zenon_H1d4 zenon_Had zenon_H215 zenon_H169 zenon_H145 zenon_H67 zenon_H69. % 0.76/0.97 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H6a | zenon_intro zenon_Hc5 ]. % 0.76/0.97 apply (zenon_L27_); trivial. % 0.76/0.97 apply (zenon_L407_); trivial. % 0.76/0.97 (* end of lemma zenon_L408_ *) % 0.76/0.97 assert (zenon_L409_ : ((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((hskp25)\/(hskp19)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (~(c1_1 (a217))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(hskp2)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> False). % 0.76/0.97 do 0 intro. intros zenon_H1e0 zenon_H14b zenon_H165 zenon_H69 zenon_H145 zenon_H169 zenon_H215 zenon_Had zenon_H1d4 zenon_H24b zenon_H24c zenon_H24d zenon_Hab zenon_H159 zenon_H14d zenon_H14e zenon_H14f zenon_H13e zenon_H156 zenon_H16f zenon_H1bc zenon_H43 zenon_H42 zenon_H41 zenon_H25c zenon_H148 zenon_Hc1. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_Ha. zenon_intro zenon_H1e1. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_H1b3. zenon_intro zenon_H1e2. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H1b4. zenon_intro zenon_H1b2. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.76/0.97 apply (zenon_L408_); trivial. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha. zenon_intro zenon_Hd7. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.97 apply (zenon_L88_); trivial. % 0.76/0.97 apply (zenon_L303_); trivial. % 0.76/0.97 (* end of lemma zenon_L409_ *) % 0.76/0.97 assert (zenon_L410_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a320))) -> (c2_1 (a320)) -> (c3_1 (a320)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(c1_1 (a217))) -> (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(c0_1 (a214))) -> (~(c1_1 (a245))) -> (~(c3_1 (a245))) -> (c0_1 (a245)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c1_1 (a234)) -> (c3_1 (a234)) -> (c0_1 (a234)) -> (ndr1_0) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (~(c2_1 (a236))) -> (c0_1 (a236)) -> (~(c3_1 (a236))) -> (c1_1 (a261)) -> (c2_1 (a261)) -> (c3_1 (a261)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(hskp12)) -> False). % 0.76/0.97 do 0 intro. intros zenon_H215 zenon_H79 zenon_H7a zenon_H7b zenon_Hab zenon_H14e zenon_H14f zenon_H14d zenon_H1d0 zenon_H23a zenon_H24b zenon_H41 zenon_H42 zenon_H43 zenon_H25c zenon_H136 zenon_H137 zenon_H135 zenon_Ha zenon_H24c zenon_H24d zenon_H94 zenon_H176 zenon_H175 zenon_H174 zenon_H193 zenon_H195 zenon_H194 zenon_H9f zenon_H9d zenon_H9e zenon_H23c zenon_H1. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H216 ]. % 0.76/0.97 apply (zenon_L258_); trivial. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H40 | zenon_intro zenon_H9c ]. % 0.76/0.97 apply (zenon_L253_); trivial. % 0.76/0.97 apply (zenon_L308_); trivial. % 0.76/0.97 (* end of lemma zenon_L410_ *) % 0.76/0.97 assert (zenon_L411_ : ((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a217))) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (c3_1 (a320)) -> (c2_1 (a320)) -> (~(c0_1 (a320))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a236))) -> (c0_1 (a236)) -> (~(c3_1 (a236))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(c1_1 (a245))) -> (~(c3_1 (a245))) -> (c0_1 (a245)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> False). % 0.76/0.97 do 0 intro. intros zenon_H144 zenon_H145 zenon_H1d4 zenon_Had zenon_Hab zenon_H14d zenon_H14f zenon_H14e zenon_H25c zenon_H24d zenon_H24c zenon_H24b zenon_H7b zenon_H7a zenon_H79 zenon_H23a zenon_H1 zenon_H94 zenon_H193 zenon_H195 zenon_H194 zenon_H176 zenon_H175 zenon_H174 zenon_H23c zenon_H41 zenon_H42 zenon_H43 zenon_H215 zenon_H13e zenon_H140. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.97 apply (zenon_L75_); trivial. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1d5 ]. % 0.76/0.97 apply (zenon_L410_); trivial. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hae ]. % 0.76/0.97 apply (zenon_L33_); trivial. % 0.76/0.97 exact (zenon_Had zenon_Hae). % 0.76/0.97 (* end of lemma zenon_L411_ *) % 0.76/0.97 assert (zenon_L412_ : ((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a236))) -> (c0_1 (a236)) -> (~(c3_1 (a236))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(c1_1 (a245))) -> (~(c3_1 (a245))) -> (c0_1 (a245)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> (~(c1_1 (a217))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> False). % 0.76/0.97 do 0 intro. intros zenon_Hc5 zenon_H148 zenon_H25c zenon_H23a zenon_H1 zenon_H94 zenon_H193 zenon_H195 zenon_H194 zenon_H176 zenon_H175 zenon_H174 zenon_H23c zenon_H41 zenon_H42 zenon_H43 zenon_H140 zenon_H156 zenon_H13e zenon_H14f zenon_H14e zenon_H14d zenon_H159 zenon_Hab zenon_H24d zenon_H24c zenon_H24b zenon_H1d4 zenon_Had zenon_H215 zenon_H169 zenon_H145. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc6. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7a. zenon_intro zenon_Hc7. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.97 apply (zenon_L256_); trivial. % 0.76/0.97 apply (zenon_L411_); trivial. % 0.76/0.97 (* end of lemma zenon_L412_ *) % 0.76/0.97 assert (zenon_L413_ : ((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((hskp25)\/(hskp19)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (~(c1_1 (a217))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(hskp2)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(c3_1 (a236))) -> (c0_1 (a236)) -> (~(c2_1 (a236))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp12)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> False). % 0.76/0.97 do 0 intro. intros zenon_H54 zenon_H14b zenon_H165 zenon_H69 zenon_H145 zenon_H169 zenon_H215 zenon_Had zenon_H1d4 zenon_H24b zenon_H24c zenon_H24d zenon_Hab zenon_H159 zenon_H14d zenon_H14e zenon_H14f zenon_H13e zenon_H156 zenon_H140 zenon_H23c zenon_H174 zenon_H175 zenon_H176 zenon_H194 zenon_H195 zenon_H193 zenon_H94 zenon_H1 zenon_H23a zenon_H25c zenon_H148 zenon_Hc1. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.76/0.97 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H6a | zenon_intro zenon_Hc5 ]. % 0.76/0.97 apply (zenon_L27_); trivial. % 0.76/0.97 apply (zenon_L412_); trivial. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha. zenon_intro zenon_Hd7. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.97 apply (zenon_L88_); trivial. % 0.76/0.97 apply (zenon_L309_); trivial. % 0.76/0.97 (* end of lemma zenon_L413_ *) % 0.76/0.97 assert (zenon_L414_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((hskp25)\/(hskp19)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (~(c1_1 (a217))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(hskp2)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(c3_1 (a236))) -> (c0_1 (a236)) -> (~(c2_1 (a236))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> (~(hskp12)) -> (~(hskp13)) -> ((hskp12)\/((hskp16)\/(hskp13))) -> False). % 0.76/0.97 do 0 intro. intros zenon_H52 zenon_H14b zenon_H165 zenon_H69 zenon_H145 zenon_H169 zenon_H215 zenon_Had zenon_H1d4 zenon_H24b zenon_H24c zenon_H24d zenon_Hab zenon_H159 zenon_H14d zenon_H14e zenon_H14f zenon_H13e zenon_H156 zenon_H140 zenon_H23c zenon_H174 zenon_H175 zenon_H176 zenon_H194 zenon_H195 zenon_H193 zenon_H94 zenon_H23a zenon_H25c zenon_H148 zenon_Hc1 zenon_H1 zenon_H1fb zenon_H1fd. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.76/0.97 apply (zenon_L171_); trivial. % 0.76/0.97 apply (zenon_L413_); trivial. % 0.76/0.97 (* end of lemma zenon_L414_ *) % 0.76/0.97 assert (zenon_L415_ : ((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a236))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a239))/\((c3_1 (a239))/\(~(c1_1 (a239))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> ((hskp12)\/((hskp16)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((hskp25)\/(hskp19)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (~(c1_1 (a217))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(hskp2)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> (~(hskp7)) -> (~(hskp6)) -> ((forall X95 : zenon_U, ((ndr1_0)->((c3_1 X95)\/((~(c0_1 X95))\/(~(c2_1 X95))))))\/((hskp7)\/(hskp6))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> False). % 0.76/0.97 do 0 intro. intros zenon_H63 zenon_H1de zenon_H140 zenon_H23c zenon_H174 zenon_H175 zenon_H176 zenon_H94 zenon_H23a zenon_H28d zenon_Hb1 zenon_H1fd zenon_H14b zenon_H165 zenon_H69 zenon_H145 zenon_H169 zenon_H215 zenon_Had zenon_H1d4 zenon_H24b zenon_H24c zenon_H24d zenon_Hab zenon_H159 zenon_H14d zenon_H14e zenon_H14f zenon_H13e zenon_H156 zenon_H1c7 zenon_H25c zenon_H148 zenon_Hc1 zenon_H1bc zenon_H1df zenon_H52 zenon_H15 zenon_H17 zenon_H19 zenon_H116. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H64. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H59. zenon_intro zenon_H65. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H16f | zenon_intro zenon_H19c ]. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.76/0.97 apply (zenon_L171_); trivial. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.76/0.97 apply (zenon_L404_); trivial. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha. zenon_intro zenon_Hd7. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 0.76/0.97 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.97 apply (zenon_L88_); trivial. % 0.76/0.97 apply (zenon_L314_); trivial. % 0.76/0.97 apply (zenon_L409_); trivial. % 0.76/0.97 apply (zenon_L176_); trivial. % 0.76/0.97 apply (zenon_L62_); trivial. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Ha. zenon_intro zenon_H19d. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H195. zenon_intro zenon_H19e. % 0.76/0.97 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H193. zenon_intro zenon_H194. % 0.76/0.97 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.76/0.98 apply (zenon_L414_); trivial. % 0.76/0.98 apply (zenon_L176_); trivial. % 0.76/0.98 apply (zenon_L62_); trivial. % 0.76/0.98 (* end of lemma zenon_L415_ *) % 0.76/0.98 assert (zenon_L416_ : ((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp18)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> (~(c1_1 (a217))) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> (~(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(c0_1 (a320))) -> (c2_1 (a320)) -> (c3_1 (a320)) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> False). % 0.76/0.98 do 0 intro. intros zenon_H144 zenon_H145 zenon_H215 zenon_H19f zenon_H1c7 zenon_H14d zenon_H14f zenon_H14e zenon_Had zenon_H1d4 zenon_H79 zenon_H7a zenon_H7b zenon_H24b zenon_H24c zenon_H24d zenon_H25c zenon_H43 zenon_H42 zenon_H41 zenon_Hab zenon_H13e zenon_H140. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.98 apply (zenon_L75_); trivial. % 0.76/0.98 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.76/0.98 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.76/0.98 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H216 ]. % 0.76/0.98 apply (zenon_L242_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H40 | zenon_intro zenon_H9c ]. % 0.76/0.98 apply (zenon_L254_); trivial. % 0.76/0.98 apply (zenon_L243_); trivial. % 0.76/0.98 (* end of lemma zenon_L416_ *) % 0.76/0.98 assert (zenon_L417_ : ((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> (~(hskp18)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> (~(c1_1 (a217))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> False). % 0.76/0.98 do 0 intro. intros zenon_Hc5 zenon_H148 zenon_H19f zenon_H1c7 zenon_H25c zenon_H43 zenon_H42 zenon_H41 zenon_H140 zenon_H156 zenon_H13e zenon_H14f zenon_H14e zenon_H14d zenon_H159 zenon_Hab zenon_H24d zenon_H24c zenon_H24b zenon_H1d4 zenon_Had zenon_H215 zenon_H169 zenon_H145. % 0.76/0.98 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc6. % 0.76/0.98 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7a. zenon_intro zenon_Hc7. % 0.76/0.98 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.98 apply (zenon_L256_); trivial. % 0.76/0.98 apply (zenon_L416_); trivial. % 0.76/0.98 (* end of lemma zenon_L417_ *) % 0.76/0.98 assert (zenon_L418_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> (~(hskp18)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> (~(c1_1 (a217))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> (~(hskp19)) -> ((hskp25)\/(hskp19)) -> False). % 0.76/0.98 do 0 intro. intros zenon_Hc1 zenon_H148 zenon_H19f zenon_H1c7 zenon_H25c zenon_H43 zenon_H42 zenon_H41 zenon_H140 zenon_H156 zenon_H13e zenon_H14f zenon_H14e zenon_H14d zenon_H159 zenon_Hab zenon_H24d zenon_H24c zenon_H24b zenon_H1d4 zenon_Had zenon_H215 zenon_H169 zenon_H145 zenon_H67 zenon_H69. % 0.76/0.98 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H6a | zenon_intro zenon_Hc5 ]. % 0.76/0.98 apply (zenon_L27_); trivial. % 0.76/0.98 apply (zenon_L417_); trivial. % 0.76/0.98 (* end of lemma zenon_L418_ *) % 0.76/0.98 assert (zenon_L419_ : ((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (c2_1 (a223)) -> (c1_1 (a223)) -> (~(c0_1 (a223))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((hskp25)\/(hskp19)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (~(c1_1 (a217))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(hskp2)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> False). % 0.76/0.98 do 0 intro. intros zenon_H1e0 zenon_H14b zenon_H217 zenon_H174 zenon_H175 zenon_H176 zenon_H140 zenon_H23 zenon_H22 zenon_H21 zenon_H165 zenon_H69 zenon_H145 zenon_H169 zenon_H215 zenon_Had zenon_H1d4 zenon_H24b zenon_H24c zenon_H24d zenon_Hab zenon_H159 zenon_H14d zenon_H14e zenon_H14f zenon_H13e zenon_H156 zenon_H16f zenon_H1bc zenon_H43 zenon_H42 zenon_H41 zenon_H25c zenon_H148 zenon_Hc1. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_Ha. zenon_intro zenon_H1e1. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_H1b3. zenon_intro zenon_H1e2. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H1b4. zenon_intro zenon_H1b2. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.76/0.98 apply (zenon_L408_); trivial. % 0.76/0.98 apply (zenon_L324_); trivial. % 0.76/0.98 (* end of lemma zenon_L419_ *) % 0.76/0.98 assert (zenon_L420_ : ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (c3_1 (a239)) -> (c2_1 (a239)) -> (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (~(c1_1 (a239))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.76/0.98 do 0 intro. intros zenon_H233 zenon_H24d zenon_H24c zenon_H24b zenon_H201 zenon_H200 zenon_H78 zenon_H1ff zenon_Ha zenon_H2a. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H22e | zenon_intro zenon_H235 ]. % 0.76/0.98 apply (zenon_L246_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H2b ]. % 0.76/0.98 apply (zenon_L326_); trivial. % 0.76/0.98 exact (zenon_H2a zenon_H2b). % 0.76/0.98 (* end of lemma zenon_L420_ *) % 0.76/0.98 assert (zenon_L421_ : ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(c1_1 (a217))) -> (forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19)))))) -> (~(hskp10)) -> (ndr1_0) -> (~(c1_1 (a239))) -> (c2_1 (a239)) -> (c3_1 (a239)) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> (~(hskp9)) -> False). % 0.76/0.98 do 0 intro. intros zenon_H1d4 zenon_H14e zenon_H14f zenon_H14d zenon_H40 zenon_H2a zenon_Ha zenon_H1ff zenon_H200 zenon_H201 zenon_H24b zenon_H24c zenon_H24d zenon_H233 zenon_Had. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1d5 ]. % 0.76/0.98 apply (zenon_L253_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hae ]. % 0.76/0.98 apply (zenon_L420_); trivial. % 0.76/0.98 exact (zenon_Had zenon_Hae). % 0.76/0.98 (* end of lemma zenon_L421_ *) % 0.76/0.98 assert (zenon_L422_ : ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp9)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> (~(c0_1 (a214))) -> (c3_1 (a239)) -> (c2_1 (a239)) -> (~(c1_1 (a239))) -> (~(hskp10)) -> (~(c1_1 (a217))) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34)))))) -> (ndr1_0) -> (~(c2_1 (a248))) -> (forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57)))))) -> (c1_1 (a248)) -> (c3_1 (a248)) -> False). % 0.76/0.98 do 0 intro. intros zenon_H25c zenon_Had zenon_H233 zenon_H24b zenon_H201 zenon_H200 zenon_H1ff zenon_H2a zenon_H14d zenon_H14f zenon_H14e zenon_H1d4 zenon_H24d zenon_H24c zenon_Hff zenon_Ha zenon_H31 zenon_H57 zenon_H33 zenon_H4f. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H40 | zenon_intro zenon_H25d ]. % 0.76/0.98 apply (zenon_L421_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H88 | zenon_intro zenon_H70 ]. % 0.76/0.98 apply (zenon_L268_); trivial. % 0.76/0.98 apply (zenon_L29_); trivial. % 0.76/0.98 (* end of lemma zenon_L422_ *) % 0.76/0.98 assert (zenon_L423_ : ((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp5))) -> (c3_1 (a225)) -> (~(c2_1 (a225))) -> (~(c0_1 (a225))) -> (~(hskp9)) -> (~(c1_1 (a239))) -> (c2_1 (a239)) -> (c3_1 (a239)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> (~(c0_1 (a214))) -> (~(hskp10)) -> (~(c1_1 (a217))) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp5)) -> False). % 0.76/0.98 do 0 intro. intros zenon_H4a zenon_H10f zenon_He9 zenon_He8 zenon_He7 zenon_Had zenon_H1ff zenon_H200 zenon_H201 zenon_H25c zenon_H233 zenon_H24b zenon_H2a zenon_H14d zenon_H14f zenon_H14e zenon_H1d4 zenon_H24d zenon_H24c zenon_Hb1 zenon_H10c. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_He6 | zenon_intro zenon_H112 ]. % 0.76/0.98 apply (zenon_L52_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_Hff | zenon_intro zenon_H10d ]. % 0.76/0.98 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H57 | zenon_intro zenon_Hb5 ]. % 0.76/0.98 apply (zenon_L422_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H8c | zenon_intro zenon_Hae ]. % 0.76/0.98 apply (zenon_L175_); trivial. % 0.76/0.98 exact (zenon_Had zenon_Hae). % 0.76/0.98 exact (zenon_H10c zenon_H10d). % 0.76/0.98 (* end of lemma zenon_L423_ *) % 0.76/0.98 assert (zenon_L424_ : ((ndr1_0)/\((c2_1 (a239))/\((c3_1 (a239))/\(~(c1_1 (a239)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a217))) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (~(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (c3_1 (a225)) -> (~(c2_1 (a225))) -> (~(c0_1 (a225))) -> (~(c0_1 (a223))) -> (c1_1 (a223)) -> (c2_1 (a223)) -> (~(hskp10)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((hskp10)\/(hskp17))) -> False). % 0.76/0.98 do 0 intro. intros zenon_H208 zenon_H53 zenon_H10f zenon_H10c zenon_H25c zenon_H14d zenon_H14f zenon_H14e zenon_H233 zenon_H24d zenon_H24c zenon_H24b zenon_Had zenon_H1d4 zenon_Hb1 zenon_He9 zenon_He8 zenon_He7 zenon_H21 zenon_H22 zenon_H23 zenon_H2a zenon_H2e. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_Ha. zenon_intro zenon_H209. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H200. zenon_intro zenon_H20a. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H20a). zenon_intro zenon_H201. zenon_intro zenon_H1ff. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.76/0.98 apply (zenon_L16_); trivial. % 0.76/0.98 apply (zenon_L423_); trivial. % 0.76/0.98 (* end of lemma zenon_L424_ *) % 0.76/0.98 assert (zenon_L425_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(c3_1 (a237))) -> (c0_1 (a237)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a320))) -> (c2_1 (a320)) -> (c3_1 (a320)) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp26)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (ndr1_0) -> (~(c1_1 (a217))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(hskp2)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> False). % 0.76/0.98 do 0 intro. intros zenon_H145 zenon_H169 zenon_H215 zenon_H174 zenon_H175 zenon_H176 zenon_Hc zenon_Hd zenon_H94 zenon_H79 zenon_H7a zenon_H7b zenon_H24b zenon_H24c zenon_H24d zenon_Hab zenon_H132 zenon_H159 zenon_Ha zenon_H14d zenon_H14e zenon_H14f zenon_H13e zenon_H156. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.98 apply (zenon_L82_); trivial. % 0.76/0.98 apply (zenon_L336_); trivial. % 0.76/0.98 (* end of lemma zenon_L425_ *) % 0.76/0.98 assert (zenon_L426_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18))))) -> (~(c1_1 (a217))) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c0_1 (a320))) -> (c2_1 (a320)) -> (c3_1 (a320)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a261)) -> (c2_1 (a261)) -> (c1_1 (a261)) -> (~(c3_1 (a237))) -> (c0_1 (a237)) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (~(c0_1 (a231))) -> (c1_1 (a234)) -> (c3_1 (a234)) -> (c0_1 (a234)) -> (ndr1_0) -> (~(hskp18)) -> False). % 0.76/0.98 do 0 intro. intros zenon_H215 zenon_H24b zenon_H24c zenon_H24d zenon_H1d0 zenon_H14d zenon_H14f zenon_H14e zenon_H25c zenon_H79 zenon_H7a zenon_H7b zenon_Hab zenon_H9e zenon_H9d zenon_H9f zenon_Hc zenon_Hd zenon_H174 zenon_H175 zenon_H176 zenon_H94 zenon_H1c7 zenon_H5a zenon_H59 zenon_H58 zenon_H136 zenon_H137 zenon_H135 zenon_Ha zenon_H19f. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H216 ]. % 0.76/0.98 apply (zenon_L258_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H40 | zenon_intro zenon_H9c ]. % 0.76/0.98 apply (zenon_L178_); trivial. % 0.76/0.98 apply (zenon_L181_); trivial. % 0.76/0.98 (* end of lemma zenon_L426_ *) % 0.76/0.98 assert (zenon_L427_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (c3_1 (a234)) -> (c0_1 (a234)) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18))))) -> (~(c1_1 (a217))) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a252)) -> (c0_1 (a252)) -> (~(c1_1 (a252))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.76/0.98 do 0 intro. intros zenon_H1bc zenon_H137 zenon_H135 zenon_H9c zenon_H24b zenon_H24c zenon_H24d zenon_H1d0 zenon_H14d zenon_H14f zenon_H14e zenon_H25c zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_Ha zenon_H16f. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1bf ]. % 0.76/0.98 apply (zenon_L257_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H170 ]. % 0.76/0.98 apply (zenon_L111_); trivial. % 0.76/0.98 exact (zenon_H16f zenon_H170). % 0.76/0.98 (* end of lemma zenon_L427_ *) % 0.76/0.98 assert (zenon_L428_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp9)) -> (~(c0_1 (a320))) -> (c2_1 (a320)) -> (c3_1 (a320)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (c3_1 (a234)) -> (c0_1 (a234)) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18))))) -> (~(c1_1 (a217))) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a252)) -> (c0_1 (a252)) -> (~(c1_1 (a252))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.76/0.98 do 0 intro. intros zenon_H215 zenon_Hab zenon_Had zenon_H79 zenon_H7a zenon_H7b zenon_H1d4 zenon_H1bc zenon_H137 zenon_H135 zenon_H24b zenon_H24c zenon_H24d zenon_H1d0 zenon_H14d zenon_H14f zenon_H14e zenon_H25c zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_Ha zenon_H16f. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H216 ]. % 0.76/0.98 apply (zenon_L258_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H40 | zenon_intro zenon_H9c ]. % 0.76/0.98 apply (zenon_L254_); trivial. % 0.76/0.98 apply (zenon_L427_); trivial. % 0.76/0.98 (* end of lemma zenon_L428_ *) % 0.76/0.98 assert (zenon_L429_ : ((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252)))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (c2_1 (a223)) -> (c1_1 (a223)) -> (~(c0_1 (a223))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((hskp25)\/(hskp19)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(c3_1 (a237))) -> (c0_1 (a237)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (~(c1_1 (a217))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(hskp2)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (~(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> False). % 0.76/0.98 do 0 intro. intros zenon_H1e0 zenon_H14b zenon_H217 zenon_H140 zenon_H23 zenon_H22 zenon_H21 zenon_H165 zenon_H69 zenon_H145 zenon_H169 zenon_H215 zenon_H174 zenon_H175 zenon_H176 zenon_Hc zenon_Hd zenon_H94 zenon_H24b zenon_H24c zenon_H24d zenon_Hab zenon_H159 zenon_H14d zenon_H14e zenon_H14f zenon_H13e zenon_H156 zenon_H16f zenon_H1bc zenon_Had zenon_H1d4 zenon_H25c zenon_H148 zenon_Hc1. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_Ha. zenon_intro zenon_H1e1. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_H1b3. zenon_intro zenon_H1e2. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H1b4. zenon_intro zenon_H1b2. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.76/0.98 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H6a | zenon_intro zenon_Hc5 ]. % 0.76/0.98 apply (zenon_L27_); trivial. % 0.76/0.98 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc6. % 0.76/0.98 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7a. zenon_intro zenon_Hc7. % 0.76/0.98 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.98 apply (zenon_L425_); trivial. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1d5 ]. % 0.76/0.98 apply (zenon_L428_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hae ]. % 0.76/0.98 apply (zenon_L33_); trivial. % 0.76/0.98 exact (zenon_Had zenon_Hae). % 0.76/0.98 apply (zenon_L343_); trivial. % 0.76/0.98 (* end of lemma zenon_L429_ *) % 0.76/0.98 assert (zenon_L430_ : ((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a236))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a239))/\((c3_1 (a239))/\(~(c1_1 (a239))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> ((hskp12)\/((hskp16)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (c2_1 (a223)) -> (c1_1 (a223)) -> (~(c0_1 (a223))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((hskp25)\/(hskp19)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (~(c1_1 (a217))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(hskp2)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> False). % 0.76/0.98 do 0 intro. intros zenon_H63 zenon_H1de zenon_H10a zenon_H23c zenon_H23a zenon_H28d zenon_Hb1 zenon_H1fd zenon_H14b zenon_H217 zenon_H174 zenon_H175 zenon_H176 zenon_H140 zenon_H23 zenon_H22 zenon_H21 zenon_H165 zenon_H69 zenon_H145 zenon_H169 zenon_H215 zenon_Had zenon_H1d4 zenon_H24b zenon_H24c zenon_H24d zenon_Hab zenon_H159 zenon_H14d zenon_H14e zenon_H14f zenon_H13e zenon_H156 zenon_H1c7 zenon_H25c zenon_H148 zenon_Hc1 zenon_H1bc zenon_H1df zenon_H52 zenon_H1a1 zenon_H94 zenon_H53 zenon_H116. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H64. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H59. zenon_intro zenon_H65. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H16f | zenon_intro zenon_H19c ]. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.76/0.98 apply (zenon_L171_); trivial. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.76/0.98 apply (zenon_L404_); trivial. % 0.76/0.98 apply (zenon_L340_); trivial. % 0.76/0.98 apply (zenon_L419_); trivial. % 0.76/0.98 apply (zenon_L176_); trivial. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Ha. zenon_intro zenon_H114. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hd. zenon_intro zenon_H115. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.76/0.98 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H6a | zenon_intro zenon_Hc5 ]. % 0.76/0.98 apply (zenon_L27_); trivial. % 0.76/0.98 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc6. % 0.76/0.98 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7a. zenon_intro zenon_Hc7. % 0.76/0.98 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.98 apply (zenon_L425_); trivial. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.98 apply (zenon_L106_); trivial. % 0.76/0.98 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.76/0.98 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.76/0.98 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1d5 ]. % 0.76/0.98 apply (zenon_L426_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hae ]. % 0.76/0.98 apply (zenon_L33_); trivial. % 0.76/0.98 exact (zenon_Had zenon_Hae). % 0.76/0.98 apply (zenon_L340_); trivial. % 0.76/0.98 apply (zenon_L429_); trivial. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.76/0.98 apply (zenon_L120_); trivial. % 0.76/0.98 apply (zenon_L429_); trivial. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Ha. zenon_intro zenon_H19d. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H195. zenon_intro zenon_H19e. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H193. zenon_intro zenon_H194. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.76/0.98 apply (zenon_L171_); trivial. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.76/0.98 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H6a | zenon_intro zenon_Hc5 ]. % 0.76/0.98 apply (zenon_L27_); trivial. % 0.76/0.98 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc6. % 0.76/0.98 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7a. zenon_intro zenon_Hc7. % 0.76/0.98 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.98 apply (zenon_L184_); trivial. % 0.76/0.98 apply (zenon_L411_); trivial. % 0.76/0.98 apply (zenon_L346_); trivial. % 0.76/0.98 apply (zenon_L176_); trivial. % 0.76/0.98 apply (zenon_L353_); trivial. % 0.76/0.98 (* end of lemma zenon_L430_ *) % 0.76/0.98 assert (zenon_L431_ : ((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a226))) -> (~(c2_1 (a226))) -> (c0_1 (a226)) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(c3_1 (a237))) -> (c0_1 (a237)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a217))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(hskp2)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> False). % 0.76/0.98 do 0 intro. intros zenon_H4a zenon_H145 zenon_H10a zenon_Hf1 zenon_Hf2 zenon_Hf3 zenon_H24c zenon_H24d zenon_H23c zenon_H174 zenon_H175 zenon_H176 zenon_Hc zenon_Hd zenon_H94 zenon_H14d zenon_H14e zenon_H14f zenon_H13e zenon_H156. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.98 apply (zenon_L82_); trivial. % 0.76/0.98 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.76/0.98 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.76/0.98 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_H40 | zenon_intro zenon_H10b ]. % 0.76/0.98 apply (zenon_L178_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hff | zenon_intro zenon_H8d ]. % 0.76/0.98 apply (zenon_L269_); trivial. % 0.76/0.98 apply (zenon_L76_); trivial. % 0.76/0.98 (* end of lemma zenon_L431_ *) % 0.76/0.98 assert (zenon_L432_ : ((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a236))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(c1_1 (a226))) -> (~(c2_1 (a226))) -> (c0_1 (a226)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp12)\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> (c2_1 (a223)) -> (c1_1 (a223)) -> (~(c0_1 (a223))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((hskp25)\/(hskp19)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (~(c1_1 (a217))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(hskp2)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> False). % 0.76/0.98 do 0 intro. intros zenon_H63 zenon_H1de zenon_H10a zenon_H53 zenon_H23a zenon_H24b zenon_H24c zenon_H24d zenon_H23c zenon_Hf1 zenon_Hf2 zenon_Hf3 zenon_H269 zenon_H14b zenon_H217 zenon_H23 zenon_H22 zenon_H21 zenon_H165 zenon_H69 zenon_H145 zenon_H169 zenon_H215 zenon_H174 zenon_H175 zenon_H176 zenon_H94 zenon_Hab zenon_H159 zenon_H14d zenon_H14e zenon_H14f zenon_H13e zenon_H156 zenon_H140 zenon_H1c7 zenon_H148 zenon_Hc1 zenon_H1bc zenon_H1df zenon_H116. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H64. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H59. zenon_intro zenon_H65. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H16f | zenon_intro zenon_H19c ]. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.76/0.98 apply (zenon_L270_); trivial. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Ha. zenon_intro zenon_H114. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hd. zenon_intro zenon_H115. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.76/0.98 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H6a | zenon_intro zenon_Hc5 ]. % 0.76/0.98 apply (zenon_L27_); trivial. % 0.76/0.98 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc6. % 0.76/0.98 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7a. zenon_intro zenon_Hc7. % 0.76/0.98 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.98 apply (zenon_L425_); trivial. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.98 apply (zenon_L75_); trivial. % 0.76/0.98 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.76/0.98 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.76/0.98 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H216 ]. % 0.76/0.98 apply (zenon_L357_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H40 | zenon_intro zenon_H9c ]. % 0.76/0.98 apply (zenon_L178_); trivial. % 0.76/0.98 apply (zenon_L181_); trivial. % 0.76/0.98 apply (zenon_L340_); trivial. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_Ha. zenon_intro zenon_H1e1. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_H1b3. zenon_intro zenon_H1e2. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H1b4. zenon_intro zenon_H1b2. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.76/0.98 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H6a | zenon_intro zenon_Hc5 ]. % 0.76/0.98 apply (zenon_L27_); trivial. % 0.76/0.98 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc6. % 0.76/0.98 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7a. zenon_intro zenon_Hc7. % 0.76/0.98 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.98 apply (zenon_L425_); trivial. % 0.76/0.98 apply (zenon_L359_); trivial. % 0.76/0.98 apply (zenon_L362_); trivial. % 0.76/0.98 apply (zenon_L364_); trivial. % 0.76/0.98 (* end of lemma zenon_L432_ *) % 0.76/0.98 assert (zenon_L433_ : ((ndr1_0)/\((c0_1 (a226))/\((~(c1_1 (a226)))/\(~(c2_1 (a226)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a236))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp19))\/((ndr1_0)/\((~(c0_1 (a255)))/\((~(c1_1 (a255)))/\(~(c3_1 (a255))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp2))) -> ((hskp25)\/(hskp19)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp12)\/(hskp17))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((hskp10)\/(hskp17))) -> (c2_1 (a223)) -> (c1_1 (a223)) -> (~(c0_1 (a223))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> (~(c1_1 (a217))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> False). % 0.76/0.98 do 0 intro. intros zenon_Hfa zenon_H66 zenon_H1de zenon_H14b zenon_H217 zenon_H165 zenon_H69 zenon_H169 zenon_H215 zenon_Hab zenon_H159 zenon_H140 zenon_H1c7 zenon_H148 zenon_Hc1 zenon_H1bc zenon_H1df zenon_H53 zenon_H23a zenon_H24b zenon_H24c zenon_H24d zenon_H23c zenon_H269 zenon_H2e zenon_H23 zenon_H22 zenon_H21 zenon_H156 zenon_H13e zenon_H14f zenon_H14e zenon_H14d zenon_H94 zenon_H176 zenon_H175 zenon_H174 zenon_H10a zenon_H145 zenon_H116. % 0.76/0.98 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.76/0.98 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf3. zenon_intro zenon_Hfd. % 0.76/0.98 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.76/0.98 apply (zenon_L270_); trivial. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Ha. zenon_intro zenon_H114. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hd. zenon_intro zenon_H115. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.76/0.98 apply (zenon_L16_); trivial. % 0.76/0.98 apply (zenon_L431_); trivial. % 0.76/0.98 apply (zenon_L432_); trivial. % 0.76/0.98 (* end of lemma zenon_L433_ *) % 0.76/0.98 assert (zenon_L434_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((hskp16)\/(hskp7))) -> (~(hskp7)) -> (~(hskp16)) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (ndr1_0) -> (~(c1_1 (a217))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(hskp2)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> False). % 0.76/0.98 do 0 intro. intros zenon_H145 zenon_H1ea zenon_H15 zenon_H1d zenon_H174 zenon_H175 zenon_H176 zenon_H100 zenon_H101 zenon_H102 zenon_H94 zenon_Ha zenon_H14d zenon_H14e zenon_H14f zenon_H13e zenon_H156. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.98 apply (zenon_L82_); trivial. % 0.76/0.98 apply (zenon_L140_); trivial. % 0.76/0.98 (* end of lemma zenon_L434_ *) % 0.76/0.98 assert (zenon_L435_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> (~(c1_1 (a217))) -> (ndr1_0) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (~(hskp7)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((hskp16)\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> False). % 0.76/0.98 do 0 intro. intros zenon_H52 zenon_H10a zenon_H156 zenon_H13e zenon_H14f zenon_H14e zenon_H14d zenon_Ha zenon_H94 zenon_H102 zenon_H101 zenon_H100 zenon_H176 zenon_H175 zenon_H174 zenon_H15 zenon_H1ea zenon_H145. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.76/0.98 apply (zenon_L434_); trivial. % 0.76/0.98 apply (zenon_L90_); trivial. % 0.76/0.98 (* end of lemma zenon_L435_ *) % 0.76/0.98 assert (zenon_L436_ : ((ndr1_0)/\((c1_1 (a220))/\((c2_1 (a220))/\(~(c3_1 (a220)))))) -> ((~(hskp7))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(~(c0_1 (a223))))))) -> ((~(hskp8))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c2_1 (a225))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((hskp16)\/(hskp7))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a217))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(hskp2)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> False). % 0.76/0.98 do 0 intro. intros zenon_H16a zenon_H127 zenon_H298 zenon_H10f zenon_H10c zenon_H4c zenon_H145 zenon_H1ea zenon_H174 zenon_H175 zenon_H176 zenon_H94 zenon_H14d zenon_H14e zenon_H14f zenon_H13e zenon_H156 zenon_H10a zenon_H52. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Ha. zenon_intro zenon_H16b. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H101. zenon_intro zenon_H16c. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H102. zenon_intro zenon_H100. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H15 | zenon_intro zenon_H124 ]. % 0.76/0.98 apply (zenon_L435_); trivial. % 0.76/0.98 apply (zenon_L377_); trivial. % 0.76/0.98 (* end of lemma zenon_L436_ *) % 0.76/0.98 assert (zenon_L437_ : ((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> (~(hskp18)) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (~(c0_1 (a231))) -> (~(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a217))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(hskp2)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> False). % 0.76/0.98 do 0 intro. intros zenon_H144 zenon_H145 zenon_H215 zenon_H1c7 zenon_H19f zenon_H5a zenon_H59 zenon_H58 zenon_Had zenon_H1d4 zenon_H174 zenon_H175 zenon_H176 zenon_H100 zenon_H101 zenon_H94 zenon_H14d zenon_H14e zenon_H14f zenon_H13e zenon_H156. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.98 apply (zenon_L82_); trivial. % 0.76/0.98 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.76/0.98 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.76/0.98 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H216 ]. % 0.76/0.98 apply (zenon_L145_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H40 | zenon_intro zenon_H9c ]. % 0.76/0.98 apply (zenon_L401_); trivial. % 0.76/0.98 apply (zenon_L181_); trivial. % 0.76/0.98 (* end of lemma zenon_L437_ *) % 0.76/0.98 assert (zenon_L438_ : ((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a217))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(hskp2)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> False). % 0.76/0.98 do 0 intro. intros zenon_H1e0 zenon_H145 zenon_H1bc zenon_H16f zenon_H174 zenon_H175 zenon_H176 zenon_H100 zenon_H101 zenon_H94 zenon_H14d zenon_H14e zenon_H14f zenon_H13e zenon_H156. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_Ha. zenon_intro zenon_H1e1. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_H1b3. zenon_intro zenon_H1e2. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H1b4. zenon_intro zenon_H1b2. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.98 apply (zenon_L82_); trivial. % 0.76/0.98 apply (zenon_L146_); trivial. % 0.76/0.98 (* end of lemma zenon_L438_ *) % 0.76/0.98 assert (zenon_L439_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (c3_1 (a225)) -> (~(c2_1 (a225))) -> (~(c0_1 (a225))) -> (ndr1_0) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> (~(c1_1 (a217))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a231))) -> (c1_1 (a231)) -> (c3_1 (a231)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> False). % 0.76/0.98 do 0 intro. intros zenon_H1df zenon_H1bc zenon_H16f zenon_H149 zenon_H102 zenon_H101 zenon_H100 zenon_He9 zenon_He8 zenon_He7 zenon_Ha zenon_H156 zenon_H13e zenon_H14f zenon_H14e zenon_H14d zenon_H94 zenon_H176 zenon_H175 zenon_H174 zenon_H1d4 zenon_Had zenon_H58 zenon_H59 zenon_H5a zenon_H1c7 zenon_H215 zenon_H145 zenon_H148. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.98 apply (zenon_L172_); trivial. % 0.76/0.98 apply (zenon_L437_); trivial. % 0.76/0.98 apply (zenon_L438_); trivial. % 0.76/0.98 (* end of lemma zenon_L439_ *) % 0.76/0.98 assert (zenon_L440_ : ((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a236))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(c0_1 (a223))) -> (c1_1 (a223)) -> (c2_1 (a223)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> ((hskp12)\/((hskp16)\/(hskp13))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a239))/\((c3_1 (a239))/\(~(c1_1 (a239))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> (~(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a217))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(hskp2)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> (~(c0_1 (a225))) -> (~(c2_1 (a225))) -> (c3_1 (a225)) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> False). % 0.76/0.98 do 0 intro. intros zenon_H63 zenon_H1de zenon_H116 zenon_H24d zenon_H24c zenon_H23c zenon_H52 zenon_H10a zenon_H140 zenon_H21 zenon_H22 zenon_H23 zenon_H217 zenon_H1fd zenon_Hb1 zenon_H28d zenon_H148 zenon_H145 zenon_H215 zenon_H1c7 zenon_Had zenon_H1d4 zenon_H174 zenon_H175 zenon_H176 zenon_H94 zenon_H14d zenon_H14e zenon_H14f zenon_H13e zenon_H156 zenon_He7 zenon_He8 zenon_He9 zenon_H100 zenon_H101 zenon_H102 zenon_H149 zenon_H1bc zenon_H1df. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H64. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H59. zenon_intro zenon_H65. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H16f | zenon_intro zenon_H19c ]. % 0.76/0.98 apply (zenon_L439_); trivial. % 0.76/0.98 apply (zenon_L396_); trivial. % 0.76/0.98 (* end of lemma zenon_L440_ *) % 0.76/0.98 assert (zenon_L441_ : ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34)))))) -> (forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (ndr1_0) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> False). % 0.76/0.98 do 0 intro. intros zenon_H25c zenon_H43 zenon_H42 zenon_H41 zenon_H24d zenon_H24c zenon_Hff zenon_H82 zenon_Ha zenon_H174 zenon_H175 zenon_H176. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H40 | zenon_intro zenon_H25d ]. % 0.76/0.98 apply (zenon_L19_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H88 | zenon_intro zenon_H70 ]. % 0.76/0.98 apply (zenon_L268_); trivial. % 0.76/0.98 apply (zenon_L221_); trivial. % 0.76/0.98 (* end of lemma zenon_L441_ *) % 0.76/0.98 assert (zenon_L442_ : ((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c1_1 (a245))) -> (~(c3_1 (a245))) -> (c0_1 (a245)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp12)) -> False). % 0.76/0.98 do 0 intro. intros zenon_H1bb zenon_H236 zenon_H21c zenon_H21b zenon_H21a zenon_H11a zenon_H119 zenon_H118 zenon_H23a zenon_H176 zenon_H175 zenon_H174 zenon_H24c zenon_H24d zenon_H41 zenon_H42 zenon_H43 zenon_H25c zenon_H1. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_Ha. zenon_intro zenon_H1bd. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H1aa. zenon_intro zenon_H1be. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H219 | zenon_intro zenon_H237 ]. % 0.76/0.98 apply (zenon_L188_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H117 | zenon_intro zenon_H82 ]. % 0.76/0.98 apply (zenon_L64_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H23b ]. % 0.76/0.98 apply (zenon_L110_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hff | zenon_intro zenon_H2 ]. % 0.76/0.98 apply (zenon_L441_); trivial. % 0.76/0.98 exact (zenon_H1 zenon_H2). % 0.76/0.98 (* end of lemma zenon_L442_ *) % 0.76/0.98 assert (zenon_L443_ : ((ndr1_0)/\((c2_1 (a239))/\((c3_1 (a239))/\(~(c1_1 (a239)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> ((hskp20)\/((hskp23)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (~(hskp11)) -> (~(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> False). % 0.76/0.98 do 0 intro. intros zenon_H208 zenon_H1c1 zenon_H236 zenon_H11a zenon_H119 zenon_H118 zenon_H21c zenon_H21b zenon_H21a zenon_H1a5 zenon_Hd3 zenon_H23a zenon_H1 zenon_H1bc zenon_H16f zenon_Had zenon_H1d4 zenon_H1c0. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_Ha. zenon_intro zenon_H209. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H200. zenon_intro zenon_H20a. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H20a). zenon_intro zenon_H201. zenon_intro zenon_H1ff. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H16d | zenon_intro zenon_H190 ]. % 0.76/0.98 apply (zenon_L329_); trivial. % 0.76/0.98 apply (zenon_L218_); trivial. % 0.76/0.98 (* end of lemma zenon_L443_ *) % 0.76/0.98 assert (zenon_L444_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> (~(hskp17)) -> (~(c0_1 (a215))) -> (~(c1_1 (a215))) -> (c2_1 (a215)) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp10)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp10))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> False). % 0.76/0.98 do 0 intro. intros zenon_H1df zenon_H233 zenon_H24d zenon_H24c zenon_H24b zenon_H1a1 zenon_H2c zenon_H21a zenon_H21b zenon_H21c zenon_H118 zenon_H119 zenon_H11a zenon_H247 zenon_H2a zenon_H1f1 zenon_H176 zenon_H175 zenon_H174 zenon_H236 zenon_H145. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.76/0.98 apply (zenon_L223_); trivial. % 0.76/0.98 apply (zenon_L247_); trivial. % 0.76/0.98 (* end of lemma zenon_L444_ *) % 0.76/0.98 assert (zenon_L445_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(c2_1 (a236))) -> (c0_1 (a236)) -> (~(c3_1 (a236))) -> (forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34)))))) -> (ndr1_0) -> (~(c2_1 (a248))) -> (c1_1 (a248)) -> (c3_1 (a248)) -> False). % 0.76/0.98 do 0 intro. intros zenon_H23c zenon_H193 zenon_H195 zenon_H194 zenon_H82 zenon_H24d zenon_H24c zenon_Hff zenon_Ha zenon_H31 zenon_H33 zenon_H4f. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H23d ]. % 0.76/0.98 apply (zenon_L130_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H88 | zenon_intro zenon_H1c4 ]. % 0.76/0.98 apply (zenon_L268_); trivial. % 0.76/0.98 apply (zenon_L119_); trivial. % 0.76/0.98 (* end of lemma zenon_L445_ *) % 0.76/0.98 assert (zenon_L446_ : ((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c3_1 (a236))) -> (c0_1 (a236)) -> (~(c2_1 (a236))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(hskp12)) -> False). % 0.76/0.98 do 0 intro. intros zenon_H4a zenon_H236 zenon_H21c zenon_H21b zenon_H21a zenon_H11a zenon_H119 zenon_H118 zenon_H23a zenon_H24b zenon_H24c zenon_H24d zenon_H194 zenon_H195 zenon_H193 zenon_H23c zenon_H1. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H219 | zenon_intro zenon_H237 ]. % 0.76/0.98 apply (zenon_L188_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H117 | zenon_intro zenon_H82 ]. % 0.76/0.98 apply (zenon_L64_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H23b ]. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H23d ]. % 0.76/0.98 apply (zenon_L130_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H88 | zenon_intro zenon_H1c4 ]. % 0.76/0.98 apply (zenon_L235_); trivial. % 0.76/0.98 apply (zenon_L119_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hff | zenon_intro zenon_H2 ]. % 0.76/0.98 apply (zenon_L445_); trivial. % 0.76/0.98 exact (zenon_H1 zenon_H2). % 0.76/0.98 (* end of lemma zenon_L446_ *) % 0.76/0.98 assert (zenon_L447_ : ((ndr1_0)/\((c0_1 (a236))/\((~(c2_1 (a236)))/\(~(c3_1 (a236)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> ((forall X95 : zenon_U, ((ndr1_0)->((c3_1 X95)\/((~(c0_1 X95))\/(~(c2_1 X95))))))\/((hskp7)\/(hskp6))) -> (~(hskp6)) -> (~(hskp7)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> (~(c0_1 (a215))) -> (~(c1_1 (a215))) -> (c2_1 (a215)) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp10)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp10))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> False). % 0.76/0.98 do 0 intro. intros zenon_H19c zenon_H116 zenon_H19 zenon_H17 zenon_H15 zenon_H1df zenon_H233 zenon_H24d zenon_H24c zenon_H24b zenon_H1a1 zenon_H21a zenon_H21b zenon_H21c zenon_H118 zenon_H119 zenon_H11a zenon_H247 zenon_H2a zenon_H1f1 zenon_H176 zenon_H175 zenon_H174 zenon_H236 zenon_H145 zenon_H23a zenon_H23c zenon_H53. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Ha. zenon_intro zenon_H19d. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H195. zenon_intro zenon_H19e. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H193. zenon_intro zenon_H194. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.76/0.98 apply (zenon_L444_); trivial. % 0.76/0.98 apply (zenon_L446_); trivial. % 0.76/0.98 apply (zenon_L62_); trivial. % 0.76/0.98 (* end of lemma zenon_L447_ *) % 0.76/0.98 assert (zenon_L448_ : ((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (~(c0_1 (a231))) -> (~(hskp18)) -> False). % 0.76/0.98 do 0 intro. intros zenon_H144 zenon_H236 zenon_H11a zenon_H119 zenon_H118 zenon_H247 zenon_H21c zenon_H21b zenon_H21a zenon_H176 zenon_H175 zenon_H174 zenon_H1c7 zenon_H5a zenon_H59 zenon_H58 zenon_H19f. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H219 | zenon_intro zenon_H237 ]. % 0.76/0.98 apply (zenon_L188_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H117 | zenon_intro zenon_H82 ]. % 0.76/0.98 apply (zenon_L64_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H219 | zenon_intro zenon_H248 ]. % 0.76/0.98 apply (zenon_L188_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H70 | zenon_intro zenon_H9c ]. % 0.76/0.98 apply (zenon_L221_); trivial. % 0.76/0.98 apply (zenon_L181_); trivial. % 0.76/0.98 (* end of lemma zenon_L448_ *) % 0.76/0.98 assert (zenon_L449_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> (~(hskp18)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (~(c0_1 (a231))) -> (ndr1_0) -> (~(c0_1 (a215))) -> (~(c1_1 (a215))) -> (c2_1 (a215)) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> False). % 0.76/0.98 do 0 intro. intros zenon_H148 zenon_H1c7 zenon_H19f zenon_H159 zenon_H5a zenon_H59 zenon_H58 zenon_Ha zenon_H21a zenon_H21b zenon_H21c zenon_H118 zenon_H119 zenon_H11a zenon_H247 zenon_H176 zenon_H175 zenon_H174 zenon_H236 zenon_H169. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H157 | zenon_intro zenon_H164 ]. % 0.76/0.98 apply (zenon_L206_); trivial. % 0.76/0.98 apply (zenon_L227_); trivial. % 0.76/0.98 apply (zenon_L448_); trivial. % 0.76/0.98 (* end of lemma zenon_L449_ *) % 0.76/0.98 assert (zenon_L450_ : ((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> ((hskp20)\/((hskp23)\/(hskp4))) -> (~(hskp4)) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> False). % 0.76/0.98 do 0 intro. intros zenon_H1e0 zenon_H1c1 zenon_H236 zenon_H11a zenon_H119 zenon_H118 zenon_H21c zenon_H21b zenon_H21a zenon_H1a5 zenon_Hd3 zenon_H16f zenon_H1bc zenon_H1c0. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_Ha. zenon_intro zenon_H1e1. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_H1b3. zenon_intro zenon_H1e2. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H1b4. zenon_intro zenon_H1b2. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H16d | zenon_intro zenon_H190 ]. % 0.76/0.98 apply (zenon_L113_); trivial. % 0.76/0.98 apply (zenon_L218_); trivial. % 0.76/0.98 (* end of lemma zenon_L450_ *) % 0.76/0.98 assert (zenon_L451_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(c2_1 (a236))) -> (c0_1 (a236)) -> (~(c3_1 (a236))) -> (forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp29)) -> False). % 0.76/0.98 do 0 intro. intros zenon_H23c zenon_H193 zenon_H195 zenon_H194 zenon_H82 zenon_H24d zenon_H24c zenon_H24b zenon_H1a7 zenon_H159 zenon_H5a zenon_H59 zenon_Ha zenon_H132 zenon_H157. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H23d ]. % 0.76/0.98 apply (zenon_L130_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H88 | zenon_intro zenon_H1c4 ]. % 0.76/0.98 apply (zenon_L235_); trivial. % 0.76/0.98 apply (zenon_L205_); trivial. % 0.76/0.98 (* end of lemma zenon_L451_ *) % 0.76/0.98 assert (zenon_L452_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(hskp29)) -> (~(hskp26)) -> (c1_1 (a231)) -> (c3_1 (a231)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (~(c0_1 (a214))) -> (~(c3_1 (a236))) -> (c0_1 (a236)) -> (~(c2_1 (a236))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (ndr1_0) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c1_1 (a245))) -> (~(c3_1 (a245))) -> (c0_1 (a245)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp12)) -> False). % 0.76/0.98 do 0 intro. intros zenon_H236 zenon_H21c zenon_H21b zenon_H21a zenon_H11a zenon_H119 zenon_H118 zenon_H23a zenon_H157 zenon_H132 zenon_H59 zenon_H5a zenon_H159 zenon_H24b zenon_H194 zenon_H195 zenon_H193 zenon_H23c zenon_H176 zenon_H175 zenon_H174 zenon_Ha zenon_H24c zenon_H24d zenon_H41 zenon_H42 zenon_H43 zenon_H25c zenon_H1. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H219 | zenon_intro zenon_H237 ]. % 0.76/0.98 apply (zenon_L188_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H117 | zenon_intro zenon_H82 ]. % 0.76/0.98 apply (zenon_L64_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H23b ]. % 0.76/0.98 apply (zenon_L451_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hff | zenon_intro zenon_H2 ]. % 0.76/0.98 apply (zenon_L441_); trivial. % 0.76/0.98 exact (zenon_H1 zenon_H2). % 0.76/0.98 (* end of lemma zenon_L452_ *) % 0.76/0.98 assert (zenon_L453_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(c2_1 (a236))) -> (c0_1 (a236)) -> (~(c3_1 (a236))) -> (forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37)))))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (c0_1 (a234)) -> (c3_1 (a234)) -> (c1_1 (a234)) -> False). % 0.76/0.98 do 0 intro. intros zenon_H23c zenon_H193 zenon_H195 zenon_H194 zenon_H82 zenon_H24d zenon_H24c zenon_H24b zenon_H1a7 zenon_Ha zenon_H9c zenon_H135 zenon_H137 zenon_H136. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H23d ]. % 0.76/0.98 apply (zenon_L130_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H88 | zenon_intro zenon_H1c4 ]. % 0.76/0.98 apply (zenon_L235_); trivial. % 0.76/0.98 apply (zenon_L180_); trivial. % 0.76/0.98 (* end of lemma zenon_L453_ *) % 0.76/0.98 assert (zenon_L454_ : ((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c3_1 (a236))) -> (c0_1 (a236)) -> (~(c2_1 (a236))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(hskp12)) -> False). % 0.76/0.98 do 0 intro. intros zenon_H144 zenon_H236 zenon_H11a zenon_H119 zenon_H118 zenon_H247 zenon_H21c zenon_H21b zenon_H21a zenon_H176 zenon_H175 zenon_H174 zenon_H23a zenon_H24b zenon_H24c zenon_H24d zenon_H194 zenon_H195 zenon_H193 zenon_H23c zenon_H1. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H219 | zenon_intro zenon_H237 ]. % 0.76/0.98 apply (zenon_L188_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H117 | zenon_intro zenon_H82 ]. % 0.76/0.98 apply (zenon_L64_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H219 | zenon_intro zenon_H248 ]. % 0.76/0.98 apply (zenon_L188_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H70 | zenon_intro zenon_H9c ]. % 0.76/0.98 apply (zenon_L221_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H23b ]. % 0.76/0.98 apply (zenon_L453_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hff | zenon_intro zenon_H2 ]. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H23d ]. % 0.76/0.98 apply (zenon_L130_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H88 | zenon_intro zenon_H1c4 ]. % 0.76/0.98 apply (zenon_L268_); trivial. % 0.76/0.98 apply (zenon_L180_); trivial. % 0.76/0.98 exact (zenon_H1 zenon_H2). % 0.76/0.98 (* end of lemma zenon_L454_ *) % 0.76/0.98 assert (zenon_L455_ : ((ndr1_0)/\((c0_1 (a236))/\((~(c2_1 (a236)))/\(~(c3_1 (a236)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> ((forall X95 : zenon_U, ((ndr1_0)->((c3_1 X95)\/((~(c0_1 X95))\/(~(c2_1 X95))))))\/((hskp7)\/(hskp6))) -> (~(hskp6)) -> (~(hskp7)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (c1_1 (a231)) -> (c3_1 (a231)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((hskp12)\/((hskp16)\/(hskp13))) -> (~(c0_1 (a231))) -> (~(hskp9)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a239))/\((c3_1 (a239))/\(~(c1_1 (a239))))))) -> False). % 0.76/0.98 do 0 intro. intros zenon_H19c zenon_H116 zenon_H19 zenon_H17 zenon_H15 zenon_H52 zenon_H148 zenon_H236 zenon_H23c zenon_H59 zenon_H5a zenon_H159 zenon_H24d zenon_H24c zenon_H24b zenon_H25c zenon_H176 zenon_H175 zenon_H174 zenon_H23a zenon_H11a zenon_H119 zenon_H118 zenon_H21c zenon_H21b zenon_H21a zenon_H247 zenon_H169 zenon_H1fd zenon_H58 zenon_Had zenon_Hb1 zenon_H28d. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Ha. zenon_intro zenon_H19d. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H195. zenon_intro zenon_H19e. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H193. zenon_intro zenon_H194. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.76/0.98 apply (zenon_L171_); trivial. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H157 | zenon_intro zenon_H164 ]. % 0.76/0.98 apply (zenon_L452_); trivial. % 0.76/0.98 apply (zenon_L227_); trivial. % 0.76/0.98 apply (zenon_L454_); trivial. % 0.76/0.98 apply (zenon_L176_); trivial. % 0.76/0.98 apply (zenon_L62_); trivial. % 0.76/0.98 (* end of lemma zenon_L455_ *) % 0.76/0.98 assert (zenon_L456_ : ((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> False). % 0.76/0.98 do 0 intro. intros zenon_H113 zenon_H236 zenon_H21c zenon_H21b zenon_H21a zenon_H11a zenon_H119 zenon_H118 zenon_H25c zenon_H174 zenon_H175 zenon_H176. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Ha. zenon_intro zenon_H114. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hd. zenon_intro zenon_H115. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H219 | zenon_intro zenon_H237 ]. % 0.76/0.98 apply (zenon_L188_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H117 | zenon_intro zenon_H82 ]. % 0.76/0.98 apply (zenon_L64_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H40 | zenon_intro zenon_H25d ]. % 0.76/0.98 apply (zenon_L177_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H88 | zenon_intro zenon_H70 ]. % 0.76/0.98 apply (zenon_L35_); trivial. % 0.76/0.98 apply (zenon_L221_); trivial. % 0.76/0.98 (* end of lemma zenon_L456_ *) % 0.76/0.98 assert (zenon_L457_ : ((ndr1_0)/\((c0_1 (a226))/\((~(c1_1 (a226)))/\(~(c2_1 (a226)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp12)\/(hskp17))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> False). % 0.76/0.98 do 0 intro. intros zenon_Hfa zenon_H116 zenon_H236 zenon_H174 zenon_H175 zenon_H176 zenon_H25c zenon_H11a zenon_H119 zenon_H118 zenon_H21c zenon_H21b zenon_H21a zenon_H269 zenon_H23c zenon_H24d zenon_H24c zenon_H24b zenon_H23a zenon_H53. % 0.76/0.98 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.76/0.98 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf3. zenon_intro zenon_Hfd. % 0.76/0.98 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.76/0.98 apply (zenon_L270_); trivial. % 0.76/0.98 apply (zenon_L456_); trivial. % 0.76/0.98 (* end of lemma zenon_L457_ *) % 0.76/0.98 assert (zenon_L458_ : ((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (c3_1 (a225)) -> (~(c2_1 (a225))) -> (~(c0_1 (a225))) -> False). % 0.76/0.98 do 0 intro. intros zenon_Haf zenon_H299 zenon_H21c zenon_H21b zenon_H21a zenon_He9 zenon_He8 zenon_He7. % 0.76/0.98 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.76/0.98 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.76/0.98 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H219 | zenon_intro zenon_H29a ]. % 0.76/0.98 apply (zenon_L188_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_He6 | zenon_intro zenon_H8d ]. % 0.76/0.98 apply (zenon_L52_); trivial. % 0.76/0.98 apply (zenon_L76_); trivial. % 0.76/0.98 (* end of lemma zenon_L458_ *) % 0.76/0.98 assert (zenon_L459_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c3_1 (a225)) -> (~(c2_1 (a225))) -> (~(c0_1 (a225))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (~(hskp18)) -> (~(hskp17)) -> ((hskp18)\/((hskp27)\/(hskp17))) -> False). % 0.76/0.98 do 0 intro. intros zenon_H145 zenon_H299 zenon_He9 zenon_He8 zenon_He7 zenon_H21c zenon_H21b zenon_H21a zenon_H19f zenon_H2c zenon_H1a1. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.76/0.98 apply (zenon_L106_); trivial. % 0.76/0.98 apply (zenon_L458_); trivial. % 0.76/0.98 (* end of lemma zenon_L459_ *) % 0.76/0.98 assert (zenon_L460_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (c3_1 (a225)) -> (~(c2_1 (a225))) -> (~(c0_1 (a225))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (ndr1_0) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c1_1 (a245))) -> (~(c3_1 (a245))) -> (c0_1 (a245)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp26)) -> False). % 0.76/0.98 do 0 intro. intros zenon_H236 zenon_H21c zenon_H21b zenon_H21a zenon_H11a zenon_H119 zenon_H118 zenon_H149 zenon_He9 zenon_He8 zenon_He7 zenon_H176 zenon_H175 zenon_H174 zenon_Ha zenon_H24c zenon_H24d zenon_H41 zenon_H42 zenon_H43 zenon_H25c zenon_H132. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H219 | zenon_intro zenon_H237 ]. % 0.76/0.98 apply (zenon_L188_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H117 | zenon_intro zenon_H82 ]. % 0.76/0.98 apply (zenon_L64_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ]. % 0.76/0.98 apply (zenon_L52_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hff | zenon_intro zenon_H133 ]. % 0.76/0.98 apply (zenon_L441_); trivial. % 0.76/0.98 exact (zenon_H132 zenon_H133). % 0.76/0.98 (* end of lemma zenon_L460_ *) % 0.76/0.98 assert (zenon_L461_ : ((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c1_1 (a245))) -> (~(c3_1 (a245))) -> (c0_1 (a245)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a252)) -> (c0_1 (a252)) -> (~(c1_1 (a252))) -> (~(hskp11)) -> False). % 0.76/0.98 do 0 intro. intros zenon_H144 zenon_H236 zenon_H11a zenon_H119 zenon_H118 zenon_H247 zenon_H21c zenon_H21b zenon_H21a zenon_H176 zenon_H175 zenon_H174 zenon_H1bc zenon_H24b zenon_H24c zenon_H24d zenon_H41 zenon_H42 zenon_H43 zenon_H25c zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_H16f. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H219 | zenon_intro zenon_H237 ]. % 0.76/0.98 apply (zenon_L188_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H117 | zenon_intro zenon_H82 ]. % 0.76/0.98 apply (zenon_L64_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H219 | zenon_intro zenon_H248 ]. % 0.76/0.98 apply (zenon_L188_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H70 | zenon_intro zenon_H9c ]. % 0.76/0.98 apply (zenon_L221_); trivial. % 0.76/0.98 apply (zenon_L302_); trivial. % 0.76/0.98 (* end of lemma zenon_L461_ *) % 0.76/0.98 assert (zenon_L462_ : ((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a214))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a215))) -> (~(c1_1 (a215))) -> (c2_1 (a215)) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (~(c1_1 (a245))) -> (~(c3_1 (a245))) -> (c0_1 (a245)) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a225)) -> (~(c2_1 (a225))) -> (~(c0_1 (a225))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> False). % 0.76/0.98 do 0 intro. intros zenon_H1e0 zenon_H148 zenon_H1bc zenon_H16f zenon_H24b zenon_H247 zenon_H21a zenon_H21b zenon_H21c zenon_H118 zenon_H119 zenon_H11a zenon_H149 zenon_H41 zenon_H42 zenon_H43 zenon_H24c zenon_H24d zenon_H174 zenon_H175 zenon_H176 zenon_H25c zenon_He9 zenon_He8 zenon_He7 zenon_H236. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_Ha. zenon_intro zenon_H1e1. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_H1b3. zenon_intro zenon_H1e2. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H1b4. zenon_intro zenon_H1b2. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.98 apply (zenon_L460_); trivial. % 0.76/0.98 apply (zenon_L461_); trivial. % 0.76/0.98 (* end of lemma zenon_L462_ *) % 0.76/0.98 assert (zenon_L463_ : ((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a214))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a215))) -> (~(c1_1 (a215))) -> (c2_1 (a215)) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (~(c1_1 (a245))) -> (~(c3_1 (a245))) -> (c0_1 (a245)) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a225)) -> (~(c2_1 (a225))) -> (~(c0_1 (a225))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c0_1 (a231))) -> (c1_1 (a231)) -> (c3_1 (a231)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> False). % 0.76/0.98 do 0 intro. intros zenon_H4a zenon_H1df zenon_H148 zenon_H1bc zenon_H16f zenon_H24b zenon_H247 zenon_H21a zenon_H21b zenon_H21c zenon_H118 zenon_H119 zenon_H11a zenon_H149 zenon_H41 zenon_H42 zenon_H43 zenon_H24c zenon_H24d zenon_H174 zenon_H175 zenon_H176 zenon_H25c zenon_He9 zenon_He8 zenon_He7 zenon_H236 zenon_H58 zenon_H59 zenon_H5a zenon_H1c7. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.76/0.98 apply (zenon_L120_); trivial. % 0.76/0.98 apply (zenon_L462_); trivial. % 0.76/0.98 (* end of lemma zenon_L463_ *) % 0.76/0.98 assert (zenon_L464_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> (~(c0_1 (a231))) -> (c1_1 (a231)) -> (c3_1 (a231)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c3_1 (a225)) -> (~(c2_1 (a225))) -> (~(c0_1 (a225))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a214))) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((hskp12)\/((hskp16)\/(hskp13))) -> (~(hskp9)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a239))/\((c3_1 (a239))/\(~(c1_1 (a239))))))) -> False). % 0.76/0.98 do 0 intro. intros zenon_H116 zenon_H52 zenon_H53 zenon_H58 zenon_H59 zenon_H5a zenon_H1c7 zenon_H145 zenon_H299 zenon_He9 zenon_He8 zenon_He7 zenon_H21c zenon_H21b zenon_H21a zenon_H1a1 zenon_H236 zenon_H25c zenon_H176 zenon_H175 zenon_H174 zenon_H24d zenon_H24c zenon_H149 zenon_H11a zenon_H119 zenon_H118 zenon_H247 zenon_H24b zenon_H16f zenon_H1bc zenon_H148 zenon_H1df zenon_H1fd zenon_Had zenon_Hb1 zenon_H28d. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.76/0.98 apply (zenon_L171_); trivial. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.76/0.98 apply (zenon_L459_); trivial. % 0.76/0.98 apply (zenon_L462_); trivial. % 0.76/0.98 apply (zenon_L463_); trivial. % 0.76/0.98 apply (zenon_L176_); trivial. % 0.76/0.98 apply (zenon_L456_); trivial. % 0.76/0.98 (* end of lemma zenon_L464_ *) % 0.76/0.98 assert (zenon_L465_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (c1_1 (a234)) -> (c3_1 (a234)) -> (c0_1 (a234)) -> (~(c0_1 (a214))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c3_1 (a236))) -> (c0_1 (a236)) -> (~(c2_1 (a236))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(hskp12)) -> False). % 0.76/0.98 do 0 intro. intros zenon_H236 zenon_H11a zenon_H119 zenon_H118 zenon_H247 zenon_H21c zenon_H21b zenon_H21a zenon_H176 zenon_H175 zenon_H174 zenon_H23a zenon_H136 zenon_H137 zenon_H135 zenon_H24b zenon_H5a zenon_H59 zenon_H8d zenon_Ha zenon_H24c zenon_H24d zenon_H194 zenon_H195 zenon_H193 zenon_H23c zenon_H1. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H219 | zenon_intro zenon_H237 ]. % 0.76/0.98 apply (zenon_L188_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H117 | zenon_intro zenon_H82 ]. % 0.76/0.98 apply (zenon_L64_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H219 | zenon_intro zenon_H248 ]. % 0.76/0.98 apply (zenon_L188_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H70 | zenon_intro zenon_H9c ]. % 0.76/0.98 apply (zenon_L221_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H23b ]. % 0.76/0.98 apply (zenon_L453_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hff | zenon_intro zenon_H2 ]. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H23d ]. % 0.76/0.98 apply (zenon_L130_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H88 | zenon_intro zenon_H1c4 ]. % 0.76/0.98 apply (zenon_L268_); trivial. % 0.76/0.98 apply (zenon_L204_); trivial. % 0.76/0.98 exact (zenon_H1 zenon_H2). % 0.76/0.98 (* end of lemma zenon_L465_ *) % 0.76/0.98 assert (zenon_L466_ : ((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c3_1 (a225)) -> (~(c2_1 (a225))) -> (~(c0_1 (a225))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(c0_1 (a214))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c3_1 (a236))) -> (c0_1 (a236)) -> (~(c2_1 (a236))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(hskp12)) -> False). % 0.76/0.98 do 0 intro. intros zenon_H144 zenon_H299 zenon_He9 zenon_He8 zenon_He7 zenon_H236 zenon_H11a zenon_H119 zenon_H118 zenon_H247 zenon_H21c zenon_H21b zenon_H21a zenon_H176 zenon_H175 zenon_H174 zenon_H23a zenon_H24b zenon_H5a zenon_H59 zenon_H24c zenon_H24d zenon_H194 zenon_H195 zenon_H193 zenon_H23c zenon_H1. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H219 | zenon_intro zenon_H29a ]. % 0.76/0.98 apply (zenon_L188_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_He6 | zenon_intro zenon_H8d ]. % 0.76/0.98 apply (zenon_L52_); trivial. % 0.76/0.98 apply (zenon_L465_); trivial. % 0.76/0.98 (* end of lemma zenon_L466_ *) % 0.76/0.98 assert (zenon_L467_ : ((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(c2_1 (a236))) -> (c0_1 (a236)) -> (~(c3_1 (a236))) -> (c2_1 (a237)) -> (c0_1 (a237)) -> (~(c3_1 (a237))) -> False). % 0.76/0.98 do 0 intro. intros zenon_H144 zenon_H236 zenon_H11a zenon_H119 zenon_H118 zenon_H247 zenon_H21c zenon_H21b zenon_H21a zenon_H176 zenon_H175 zenon_H174 zenon_H23c zenon_H193 zenon_H195 zenon_H194 zenon_He zenon_Hd zenon_Hc. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H219 | zenon_intro zenon_H237 ]. % 0.76/0.98 apply (zenon_L188_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H117 | zenon_intro zenon_H82 ]. % 0.76/0.98 apply (zenon_L64_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H219 | zenon_intro zenon_H248 ]. % 0.76/0.98 apply (zenon_L188_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H70 | zenon_intro zenon_H9c ]. % 0.76/0.98 apply (zenon_L221_); trivial. % 0.76/0.98 apply (zenon_L214_); trivial. % 0.76/0.98 (* end of lemma zenon_L467_ *) % 0.76/0.98 assert (zenon_L468_ : ((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (~(c0_1 (a223))) -> (c1_1 (a223)) -> (c2_1 (a223)) -> (~(c2_1 (a236))) -> (~(c3_1 (a236))) -> (c0_1 (a236)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> False). % 0.76/0.98 do 0 intro. intros zenon_H113 zenon_H148 zenon_H236 zenon_H174 zenon_H175 zenon_H176 zenon_H23c zenon_H247 zenon_H11a zenon_H119 zenon_H118 zenon_H21c zenon_H21b zenon_H21a zenon_H21 zenon_H22 zenon_H23 zenon_H193 zenon_H194 zenon_H195 zenon_H217. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Ha. zenon_intro zenon_H114. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hd. zenon_intro zenon_H115. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.98 apply (zenon_L184_); trivial. % 0.76/0.98 apply (zenon_L467_); trivial. % 0.76/0.98 (* end of lemma zenon_L468_ *) % 0.76/0.98 assert (zenon_L469_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (c0_1 (a226)) -> (~(c2_1 (a226))) -> (~(c1_1 (a226))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37)))))) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (c1_1 (a231)) -> (c3_1 (a231)) -> False). % 0.76/0.98 do 0 intro. intros zenon_H23c zenon_Hf3 zenon_Hf2 zenon_Hf1 zenon_H24d zenon_H24c zenon_H24b zenon_H1a7 zenon_Ha zenon_H8d zenon_H59 zenon_H5a. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H23d ]. % 0.76/0.98 apply (zenon_L53_); trivial. % 0.76/0.98 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H88 | zenon_intro zenon_H1c4 ]. % 0.76/0.98 apply (zenon_L235_); trivial. % 0.76/0.98 apply (zenon_L204_); trivial. % 0.76/0.98 (* end of lemma zenon_L469_ *) % 0.76/0.98 assert (zenon_L470_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c1_1 (a226))) -> (~(c2_1 (a226))) -> (c0_1 (a226)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (c2_1 (a252)) -> (c0_1 (a252)) -> (~(c1_1 (a252))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.76/0.99 do 0 intro. intros zenon_H1bc zenon_H5a zenon_H59 zenon_H8d zenon_H24b zenon_H24c zenon_H24d zenon_Hf1 zenon_Hf2 zenon_Hf3 zenon_H23c zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_Ha zenon_H16f. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1bf ]. % 0.76/0.99 apply (zenon_L469_); trivial. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H170 ]. % 0.76/0.99 apply (zenon_L111_); trivial. % 0.76/0.99 exact (zenon_H16f zenon_H170). % 0.76/0.99 (* end of lemma zenon_L470_ *) % 0.76/0.99 assert (zenon_L471_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (~(c0_1 (a231))) -> (c3_1 (a248)) -> (c1_1 (a248)) -> (~(c2_1 (a248))) -> (ndr1_0) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c1_1 (a226))) -> (~(c2_1 (a226))) -> (c0_1 (a226)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(hskp26)) -> False). % 0.76/0.99 do 0 intro. intros zenon_H149 zenon_H5a zenon_H59 zenon_H8d zenon_H58 zenon_H4f zenon_H33 zenon_H31 zenon_Ha zenon_H24c zenon_H24d zenon_Hf1 zenon_Hf2 zenon_Hf3 zenon_H23c zenon_H132. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ]. % 0.76/0.99 apply (zenon_L162_); trivial. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hff | zenon_intro zenon_H133 ]. % 0.76/0.99 apply (zenon_L269_); trivial. % 0.76/0.99 exact (zenon_H132 zenon_H133). % 0.76/0.99 (* end of lemma zenon_L471_ *) % 0.76/0.99 assert (zenon_L472_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (c3_1 (a225)) -> (~(c2_1 (a225))) -> (~(c0_1 (a225))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (~(c0_1 (a231))) -> (c3_1 (a248)) -> (c1_1 (a248)) -> (~(c2_1 (a248))) -> (ndr1_0) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c1_1 (a226))) -> (~(c2_1 (a226))) -> (c0_1 (a226)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(hskp26)) -> False). % 0.76/0.99 do 0 intro. intros zenon_H299 zenon_H21c zenon_H21b zenon_H21a zenon_He9 zenon_He8 zenon_He7 zenon_H149 zenon_H5a zenon_H59 zenon_H58 zenon_H4f zenon_H33 zenon_H31 zenon_Ha zenon_H24c zenon_H24d zenon_Hf1 zenon_Hf2 zenon_Hf3 zenon_H23c zenon_H132. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H219 | zenon_intro zenon_H29a ]. % 0.76/0.99 apply (zenon_L188_); trivial. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_He6 | zenon_intro zenon_H8d ]. % 0.76/0.99 apply (zenon_L52_); trivial. % 0.76/0.99 apply (zenon_L471_); trivial. % 0.76/0.99 (* end of lemma zenon_L472_ *) % 0.76/0.99 assert (zenon_L473_ : ((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c1_1 (a226))) -> (~(c2_1 (a226))) -> (c0_1 (a226)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (c2_1 (a252)) -> (c0_1 (a252)) -> (~(c1_1 (a252))) -> (~(hskp11)) -> False). % 0.76/0.99 do 0 intro. intros zenon_H144 zenon_H236 zenon_H11a zenon_H119 zenon_H118 zenon_H247 zenon_H21c zenon_H21b zenon_H21a zenon_H176 zenon_H175 zenon_H174 zenon_H1bc zenon_H24b zenon_H24c zenon_H24d zenon_Hf1 zenon_Hf2 zenon_Hf3 zenon_H23c zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_H16f. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H219 | zenon_intro zenon_H237 ]. % 0.76/0.99 apply (zenon_L188_); trivial. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H117 | zenon_intro zenon_H82 ]. % 0.76/0.99 apply (zenon_L64_); trivial. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H219 | zenon_intro zenon_H248 ]. % 0.76/0.99 apply (zenon_L188_); trivial. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H70 | zenon_intro zenon_H9c ]. % 0.76/0.99 apply (zenon_L221_); trivial. % 0.76/0.99 apply (zenon_L358_); trivial. % 0.76/0.99 (* end of lemma zenon_L473_ *) % 0.76/0.99 assert (zenon_L474_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> (~(c0_1 (a231))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c3_1 (a225)) -> (~(c2_1 (a225))) -> (~(c0_1 (a225))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a226))) -> (~(c2_1 (a226))) -> (c0_1 (a226)) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (c1_1 (a231)) -> (c3_1 (a231)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> False). % 0.76/0.99 do 0 intro. intros zenon_H53 zenon_H149 zenon_H169 zenon_H236 zenon_H174 zenon_H175 zenon_H176 zenon_H247 zenon_H11a zenon_H119 zenon_H118 zenon_H58 zenon_H159 zenon_H1c7 zenon_H148 zenon_H145 zenon_H299 zenon_He9 zenon_He8 zenon_He7 zenon_H21c zenon_H21b zenon_H21a zenon_H1a1 zenon_H1bc zenon_H16f zenon_Hf1 zenon_Hf2 zenon_Hf3 zenon_H24b zenon_H24c zenon_H24d zenon_H59 zenon_H5a zenon_H23c zenon_H1df. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.76/0.99 apply (zenon_L459_); trivial. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_Ha. zenon_intro zenon_H1e1. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_H1b3. zenon_intro zenon_H1e2. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H1b4. zenon_intro zenon_H1b2. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H219 | zenon_intro zenon_H29a ]. % 0.76/0.99 apply (zenon_L188_); trivial. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_He6 | zenon_intro zenon_H8d ]. % 0.76/0.99 apply (zenon_L52_); trivial. % 0.76/0.99 apply (zenon_L470_); trivial. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.76/0.99 apply (zenon_L449_); trivial. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_Ha. zenon_intro zenon_H1e1. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_H1b3. zenon_intro zenon_H1e2. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H1b4. zenon_intro zenon_H1b2. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.99 apply (zenon_L472_); trivial. % 0.76/0.99 apply (zenon_L473_); trivial. % 0.76/0.99 (* end of lemma zenon_L474_ *) % 0.76/0.99 assert (zenon_L475_ : ((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(c0_1 (a214))) -> (~(c3_1 (a236))) -> (c0_1 (a236)) -> (~(c2_1 (a236))) -> (c3_1 (a248)) -> (c1_1 (a248)) -> (~(c2_1 (a248))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c1_1 (a226))) -> (~(c2_1 (a226))) -> (c0_1 (a226)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(hskp12)) -> False). % 0.76/0.99 do 0 intro. intros zenon_H144 zenon_H236 zenon_H11a zenon_H119 zenon_H118 zenon_H247 zenon_H21c zenon_H21b zenon_H21a zenon_H176 zenon_H175 zenon_H174 zenon_H23a zenon_H24b zenon_H194 zenon_H195 zenon_H193 zenon_H4f zenon_H33 zenon_H31 zenon_H24c zenon_H24d zenon_Hf1 zenon_Hf2 zenon_Hf3 zenon_H23c zenon_H1. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H219 | zenon_intro zenon_H237 ]. % 0.76/0.99 apply (zenon_L188_); trivial. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H117 | zenon_intro zenon_H82 ]. % 0.76/0.99 apply (zenon_L64_); trivial. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H219 | zenon_intro zenon_H248 ]. % 0.76/0.99 apply (zenon_L188_); trivial. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H70 | zenon_intro zenon_H9c ]. % 0.76/0.99 apply (zenon_L221_); trivial. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H23b ]. % 0.76/0.99 apply (zenon_L453_); trivial. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hff | zenon_intro zenon_H2 ]. % 0.76/0.99 apply (zenon_L269_); trivial. % 0.76/0.99 exact (zenon_H1 zenon_H2). % 0.76/0.99 (* end of lemma zenon_L475_ *) % 0.76/0.99 assert (zenon_L476_ : ((ndr1_0)/\((c0_1 (a236))/\((~(c2_1 (a236)))/\(~(c3_1 (a236)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp12)\/(hskp17))) -> (c0_1 (a226)) -> (~(c2_1 (a226))) -> (~(c1_1 (a226))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> (c2_1 (a223)) -> (c1_1 (a223)) -> (~(c0_1 (a223))) -> (~(c0_1 (a215))) -> (~(c1_1 (a215))) -> (c2_1 (a215)) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> False). % 0.76/0.99 do 0 intro. intros zenon_H19c zenon_H116 zenon_H269 zenon_Hf3 zenon_Hf2 zenon_Hf1 zenon_H217 zenon_H23 zenon_H22 zenon_H21 zenon_H21a zenon_H21b zenon_H21c zenon_H118 zenon_H119 zenon_H11a zenon_H247 zenon_H23c zenon_H24d zenon_H24c zenon_H24b zenon_H23a zenon_H176 zenon_H175 zenon_H174 zenon_H236 zenon_H148 zenon_H53. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Ha. zenon_intro zenon_H19d. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H195. zenon_intro zenon_H19e. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H193. zenon_intro zenon_H194. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.76/0.99 apply (zenon_L266_); trivial. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.99 apply (zenon_L184_); trivial. % 0.76/0.99 apply (zenon_L475_); trivial. % 0.76/0.99 apply (zenon_L468_); trivial. % 0.76/0.99 (* end of lemma zenon_L476_ *) % 0.76/0.99 assert (zenon_L477_ : ((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(~(c0_1 (a223)))))) -> ((~(hskp8))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c2_1 (a225))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a226))/\((~(c1_1 (a226)))/\(~(c2_1 (a226))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp12)\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a242))/\((~(c0_1 (a242)))/\(~(c2_1 (a242))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c1_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp10))) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp15))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a214))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((hskp12)\/((hskp16)\/(hskp13))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a239))/\((c3_1 (a239))/\(~(c1_1 (a239))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a236))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231))))))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp8))) -> False). % 0.76/0.99 do 0 intro. intros zenon_H124 zenon_H298 zenon_H29b zenon_H269 zenon_H159 zenon_H169 zenon_H123 zenon_Hb0 zenon_H118 zenon_H119 zenon_H11a zenon_H121 zenon_H116 zenon_H52 zenon_H53 zenon_H1c7 zenon_H145 zenon_H299 zenon_H21c zenon_H21b zenon_H21a zenon_H1a1 zenon_H236 zenon_H25c zenon_H24d zenon_H24c zenon_H149 zenon_H247 zenon_H24b zenon_H1bc zenon_H148 zenon_H1df zenon_H1fd zenon_Hb1 zenon_H28d zenon_H23c zenon_H23a zenon_H217 zenon_H1de zenon_H66 zenon_H174 zenon_H175 zenon_H176 zenon_H4c. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Ha. zenon_intro zenon_H125. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H22. zenon_intro zenon_H126. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H23. zenon_intro zenon_H21. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H3e | zenon_intro zenon_H10e ]. % 0.76/0.99 apply (zenon_L104_); trivial. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Ha. zenon_intro zenon_H110. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He9. zenon_intro zenon_H111. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_He7. zenon_intro zenon_He8. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.76/0.99 apply (zenon_L66_); trivial. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H64. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H59. zenon_intro zenon_H65. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H16f | zenon_intro zenon_H19c ]. % 0.76/0.99 apply (zenon_L464_); trivial. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Ha. zenon_intro zenon_H19d. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H195. zenon_intro zenon_H19e. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H193. zenon_intro zenon_H194. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.99 apply (zenon_L184_); trivial. % 0.76/0.99 apply (zenon_L466_); trivial. % 0.76/0.99 apply (zenon_L468_); trivial. % 0.76/0.99 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.76/0.99 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf3. zenon_intro zenon_Hfd. % 0.76/0.99 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.76/0.99 apply (zenon_L66_); trivial. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H64. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H59. zenon_intro zenon_H65. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H16f | zenon_intro zenon_H19c ]. % 0.76/0.99 apply (zenon_L474_); trivial. % 0.76/0.99 apply (zenon_L476_); trivial. % 0.76/0.99 (* end of lemma zenon_L477_ *) % 0.76/0.99 assert (zenon_L478_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (ndr1_0) -> (~(c0_1 (a231))) -> (c1_1 (a231)) -> (c3_1 (a231)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> False). % 0.76/0.99 do 0 intro. intros zenon_H1df zenon_H100 zenon_H101 zenon_H16f zenon_H1bc zenon_H169 zenon_H236 zenon_H174 zenon_H175 zenon_H176 zenon_H247 zenon_H11a zenon_H119 zenon_H118 zenon_H21c zenon_H21b zenon_H21a zenon_Ha zenon_H58 zenon_H59 zenon_H5a zenon_H159 zenon_H1c7 zenon_H148. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.76/0.99 apply (zenon_L449_); trivial. % 0.76/0.99 apply (zenon_L210_); trivial. % 0.76/0.99 (* end of lemma zenon_L478_ *) % 0.76/0.99 assert (zenon_L479_ : ((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c2_1 (a225)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a236))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp15))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c1_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a242))/\((~(c0_1 (a242)))/\(~(c2_1 (a242))))))) -> False). % 0.76/0.99 do 0 intro. intros zenon_H10e zenon_H66 zenon_H1de zenon_H116 zenon_H23c zenon_H149 zenon_H23a zenon_H148 zenon_H1c7 zenon_H159 zenon_H247 zenon_H176 zenon_H175 zenon_H174 zenon_H169 zenon_H1bc zenon_H1df zenon_H236 zenon_H100 zenon_H101 zenon_H102 zenon_H121 zenon_H11a zenon_H119 zenon_H118 zenon_H21c zenon_H21b zenon_H21a zenon_Hb0 zenon_H123. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Ha. zenon_intro zenon_H110. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He9. zenon_intro zenon_H111. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_He7. zenon_intro zenon_He8. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.76/0.99 apply (zenon_L203_); trivial. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H64. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H59. zenon_intro zenon_H65. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H16f | zenon_intro zenon_H19c ]. % 0.76/0.99 apply (zenon_L478_); trivial. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Ha. zenon_intro zenon_H19d. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H195. zenon_intro zenon_H19e. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H193. zenon_intro zenon_H194. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.76/0.99 apply (zenon_L213_); trivial. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Ha. zenon_intro zenon_H114. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hd. zenon_intro zenon_H115. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.99 apply (zenon_L172_); trivial. % 0.76/0.99 apply (zenon_L467_); trivial. % 0.76/0.99 (* end of lemma zenon_L479_ *) % 0.76/0.99 assert (zenon_L480_ : ((ndr1_0)/\((c1_1 (a220))/\((c2_1 (a220))/\(~(c3_1 (a220)))))) -> ((~(hskp8))\/((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c2_1 (a225))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a236))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c1_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp10))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp15))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c1_1 X27))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(hskp8))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a242))/\((~(c0_1 (a242)))/\(~(c2_1 (a242))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> False). % 0.76/0.99 do 0 intro. intros zenon_H16a zenon_H298 zenon_H66 zenon_H1de zenon_H23c zenon_H149 zenon_H148 zenon_H1c7 zenon_H159 zenon_H247 zenon_H176 zenon_H175 zenon_H174 zenon_H169 zenon_H1bc zenon_H1df zenon_Hb0 zenon_H236 zenon_H23a zenon_H11a zenon_H119 zenon_H118 zenon_H21c zenon_H21b zenon_H21a zenon_H121 zenon_H4b zenon_H123 zenon_H116. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Ha. zenon_intro zenon_H16b. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H101. zenon_intro zenon_H16c. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H102. zenon_intro zenon_H100. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H3e | zenon_intro zenon_H10e ]. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.76/0.99 apply (zenon_L213_); trivial. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Ha. zenon_intro zenon_H114. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hd. zenon_intro zenon_H115. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H96 | zenon_intro zenon_He3 ]. % 0.76/0.99 apply (zenon_L201_); trivial. % 0.76/0.99 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Ha. zenon_intro zenon_He4. % 0.76/0.99 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hdc. zenon_intro zenon_He5. % 0.76/0.99 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H219 | zenon_intro zenon_H237 ]. % 0.76/0.99 apply (zenon_L188_); trivial. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H117 | zenon_intro zenon_H82 ]. % 0.76/0.99 apply (zenon_L64_); trivial. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H4b); [ zenon_intro zenon_H32 | zenon_intro zenon_H50 ]. % 0.76/0.99 apply (zenon_L50_); trivial. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ]. % 0.76/0.99 apply (zenon_L177_); trivial. % 0.76/0.99 exact (zenon_H3e zenon_H3f). % 0.76/0.99 apply (zenon_L479_); trivial. % 0.76/0.99 (* end of lemma zenon_L480_ *) % 0.76/0.99 assert (zenon_L481_ : ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/(hskp8))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (ndr1_0) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37)))))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18))))) -> (~(c1_1 (a217))) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp8)) -> False). % 0.76/0.99 do 0 intro. intros zenon_H29c zenon_H176 zenon_H175 zenon_H174 zenon_Ha zenon_H1a7 zenon_H24b zenon_H24c zenon_H24d zenon_H1d0 zenon_H14d zenon_H14f zenon_H14e zenon_H25c zenon_H3e. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H14c | zenon_intro zenon_H29d ]. % 0.76/0.99 apply (zenon_L81_); trivial. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H3f ]. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H40 | zenon_intro zenon_H25d ]. % 0.76/0.99 apply (zenon_L253_); trivial. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H88 | zenon_intro zenon_H70 ]. % 0.76/0.99 apply (zenon_L235_); trivial. % 0.76/0.99 apply (zenon_L298_); trivial. % 0.76/0.99 exact (zenon_H3e zenon_H3f). % 0.76/0.99 (* end of lemma zenon_L481_ *) % 0.76/0.99 assert (zenon_L482_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(hskp8)) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(c1_1 (a217))) -> (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18))))) -> (~(c0_1 (a214))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/(hskp8))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (ndr1_0) -> (forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c1_1 (a245))) -> (~(c3_1 (a245))) -> (c0_1 (a245)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp12)) -> False). % 0.76/0.99 do 0 intro. intros zenon_H23a zenon_H3e zenon_H14e zenon_H14f zenon_H14d zenon_H1d0 zenon_H24b zenon_H29c zenon_H176 zenon_H175 zenon_H174 zenon_Ha zenon_H82 zenon_H24c zenon_H24d zenon_H41 zenon_H42 zenon_H43 zenon_H25c zenon_H1. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H23b ]. % 0.76/0.99 apply (zenon_L481_); trivial. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hff | zenon_intro zenon_H2 ]. % 0.76/0.99 apply (zenon_L441_); trivial. % 0.76/0.99 exact (zenon_H1 zenon_H2). % 0.76/0.99 (* end of lemma zenon_L482_ *) % 0.76/0.99 assert (zenon_L483_ : ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp10))) -> (c3_1 (a248)) -> (c1_1 (a248)) -> (~(c2_1 (a248))) -> (forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34)))))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(c1_1 (a217))) -> (~(c1_1 (a239))) -> (c2_1 (a239)) -> (c3_1 (a239)) -> (~(c0_1 (a214))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> (~(hskp9)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.76/0.99 do 0 intro. intros zenon_H1f1 zenon_H4f zenon_H33 zenon_H31 zenon_Hff zenon_H24c zenon_H24d zenon_H1d4 zenon_H14e zenon_H14f zenon_H14d zenon_H1ff zenon_H200 zenon_H201 zenon_H24b zenon_H233 zenon_Had zenon_H25c zenon_H11a zenon_H119 zenon_H118 zenon_Ha zenon_H2a. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H57 | zenon_intro zenon_H1f2 ]. % 0.76/0.99 apply (zenon_L422_); trivial. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H117 | zenon_intro zenon_H2b ]. % 0.76/0.99 apply (zenon_L64_); trivial. % 0.76/0.99 exact (zenon_H2a zenon_H2b). % 0.76/0.99 (* end of lemma zenon_L483_ *) % 0.76/0.99 assert (zenon_L484_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(hskp8)) -> (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18))))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/(hskp8))) -> (~(hskp10)) -> (ndr1_0) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp9)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> (~(c0_1 (a214))) -> (c3_1 (a239)) -> (c2_1 (a239)) -> (~(c1_1 (a239))) -> (~(c1_1 (a217))) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c2_1 (a248))) -> (c1_1 (a248)) -> (c3_1 (a248)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp10))) -> (~(hskp12)) -> False). % 0.76/0.99 do 0 intro. intros zenon_H23a zenon_H3e zenon_H1d0 zenon_H174 zenon_H175 zenon_H176 zenon_H29c zenon_H2a zenon_Ha zenon_H118 zenon_H119 zenon_H11a zenon_H25c zenon_Had zenon_H233 zenon_H24b zenon_H201 zenon_H200 zenon_H1ff zenon_H14d zenon_H14f zenon_H14e zenon_H1d4 zenon_H24d zenon_H24c zenon_H31 zenon_H33 zenon_H4f zenon_H1f1 zenon_H1. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H23b ]. % 0.76/0.99 apply (zenon_L481_); trivial. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hff | zenon_intro zenon_H2 ]. % 0.76/0.99 apply (zenon_L483_); trivial. % 0.76/0.99 exact (zenon_H1 zenon_H2). % 0.76/0.99 (* end of lemma zenon_L484_ *) % 0.76/0.99 assert (zenon_L485_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (~(hskp8)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(c1_1 (a217))) -> (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18))))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/(hskp8))) -> (c2_1 (a252)) -> (c0_1 (a252)) -> (~(c1_1 (a252))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.76/0.99 do 0 intro. intros zenon_H1bc zenon_H3e zenon_H25c zenon_H14e zenon_H14f zenon_H14d zenon_H1d0 zenon_H24d zenon_H24c zenon_H24b zenon_H174 zenon_H175 zenon_H176 zenon_H29c zenon_H1b4 zenon_H1b3 zenon_H1b2 zenon_Ha zenon_H16f. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1bf ]. % 0.76/0.99 apply (zenon_L481_); trivial. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H170 ]. % 0.76/0.99 apply (zenon_L111_); trivial. % 0.76/0.99 exact (zenon_H16f zenon_H170). % 0.76/0.99 (* end of lemma zenon_L485_ *) % 0.76/0.99 assert (zenon_L486_ : ((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp11)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/(hskp8))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c1_1 (a217))) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (~(hskp8)) -> (~(c1_1 (a245))) -> (~(c3_1 (a245))) -> (c0_1 (a245)) -> (~(c0_1 (a231))) -> (c1_1 (a231)) -> (c3_1 (a231)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c1_1 X27))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(hskp8))) -> (~(hskp9)) -> False). % 0.76/0.99 do 0 intro. intros zenon_H1e0 zenon_H1d4 zenon_H16f zenon_H29c zenon_H176 zenon_H175 zenon_H174 zenon_H24b zenon_H24c zenon_H24d zenon_H14d zenon_H14f zenon_H14e zenon_H25c zenon_H1bc zenon_H3e zenon_H41 zenon_H42 zenon_H43 zenon_H58 zenon_H59 zenon_H5a zenon_H4b zenon_Had. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_Ha. zenon_intro zenon_H1e1. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_H1b3. zenon_intro zenon_H1e2. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H1b4. zenon_intro zenon_H1b2. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1d5 ]. % 0.76/0.99 apply (zenon_L485_); trivial. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hae ]. % 0.76/0.99 apply (zenon_L290_); trivial. % 0.76/0.99 exact (zenon_Had zenon_Hae). % 0.76/0.99 (* end of lemma zenon_L486_ *) % 0.76/0.99 assert (zenon_L487_ : ((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(c0_1 (a214))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c1_1 (a245))) -> (~(c3_1 (a245))) -> (c0_1 (a245)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp12)) -> False). % 0.76/0.99 do 0 intro. intros zenon_H144 zenon_H236 zenon_H11a zenon_H119 zenon_H118 zenon_H247 zenon_H21c zenon_H21b zenon_H21a zenon_H23a zenon_H24b zenon_H176 zenon_H175 zenon_H174 zenon_H24c zenon_H24d zenon_H41 zenon_H42 zenon_H43 zenon_H25c zenon_H1. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H219 | zenon_intro zenon_H237 ]. % 0.76/0.99 apply (zenon_L188_); trivial. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H117 | zenon_intro zenon_H82 ]. % 0.76/0.99 apply (zenon_L64_); trivial. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H219 | zenon_intro zenon_H248 ]. % 0.76/0.99 apply (zenon_L188_); trivial. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H70 | zenon_intro zenon_H9c ]. % 0.76/0.99 apply (zenon_L221_); trivial. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H23b ]. % 0.76/0.99 apply (zenon_L241_); trivial. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hff | zenon_intro zenon_H2 ]. % 0.76/0.99 apply (zenon_L441_); trivial. % 0.76/0.99 exact (zenon_H1 zenon_H2). % 0.76/0.99 (* end of lemma zenon_L487_ *) % 0.76/0.99 assert (zenon_L488_ : ((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(hskp12)) -> (~(c0_1 (a214))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a215))) -> (~(c1_1 (a215))) -> (c2_1 (a215)) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a225)) -> (~(c2_1 (a225))) -> (~(c0_1 (a225))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> False). % 0.76/0.99 do 0 intro. intros zenon_H54 zenon_H148 zenon_H23a zenon_H1 zenon_H24b zenon_H247 zenon_H21a zenon_H21b zenon_H21c zenon_H118 zenon_H119 zenon_H11a zenon_H149 zenon_H24c zenon_H24d zenon_H174 zenon_H175 zenon_H176 zenon_H25c zenon_He9 zenon_He8 zenon_He7 zenon_H236. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.99 apply (zenon_L460_); trivial. % 0.76/0.99 apply (zenon_L487_); trivial. % 0.76/0.99 (* end of lemma zenon_L488_ *) % 0.76/0.99 assert (zenon_L489_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (c3_1 (a225)) -> (~(c2_1 (a225))) -> (~(c0_1 (a225))) -> (~(hskp10)) -> (ndr1_0) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp9)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> (~(c0_1 (a214))) -> (c3_1 (a239)) -> (c2_1 (a239)) -> (~(c1_1 (a239))) -> (~(c1_1 (a217))) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c2_1 (a248))) -> (c1_1 (a248)) -> (c3_1 (a248)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp10))) -> (~(hskp26)) -> False). % 0.76/0.99 do 0 intro. intros zenon_H149 zenon_He9 zenon_He8 zenon_He7 zenon_H2a zenon_Ha zenon_H118 zenon_H119 zenon_H11a zenon_H25c zenon_Had zenon_H233 zenon_H24b zenon_H201 zenon_H200 zenon_H1ff zenon_H14d zenon_H14f zenon_H14e zenon_H1d4 zenon_H24d zenon_H24c zenon_H31 zenon_H33 zenon_H4f zenon_H1f1 zenon_H132. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ]. % 0.76/0.99 apply (zenon_L52_); trivial. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hff | zenon_intro zenon_H133 ]. % 0.76/0.99 apply (zenon_L483_); trivial. % 0.76/0.99 exact (zenon_H132 zenon_H133). % 0.76/0.99 (* end of lemma zenon_L489_ *) % 0.76/0.99 assert (zenon_L490_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (c3_1 (a234)) -> (c0_1 (a234)) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18))))) -> (~(hskp10)) -> (ndr1_0) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp9)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> (~(c0_1 (a214))) -> (c3_1 (a239)) -> (c2_1 (a239)) -> (~(c1_1 (a239))) -> (~(c1_1 (a217))) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c2_1 (a248))) -> (c1_1 (a248)) -> (c3_1 (a248)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp10))) -> (~(hskp12)) -> False). % 0.76/0.99 do 0 intro. intros zenon_H23a zenon_H137 zenon_H135 zenon_H9c zenon_H1d0 zenon_H2a zenon_Ha zenon_H118 zenon_H119 zenon_H11a zenon_H25c zenon_Had zenon_H233 zenon_H24b zenon_H201 zenon_H200 zenon_H1ff zenon_H14d zenon_H14f zenon_H14e zenon_H1d4 zenon_H24d zenon_H24c zenon_H31 zenon_H33 zenon_H4f zenon_H1f1 zenon_H1. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H23b ]. % 0.76/0.99 apply (zenon_L257_); trivial. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hff | zenon_intro zenon_H2 ]. % 0.76/0.99 apply (zenon_L483_); trivial. % 0.76/0.99 exact (zenon_H1 zenon_H2). % 0.76/0.99 (* end of lemma zenon_L490_ *) % 0.76/0.99 assert (zenon_L491_ : ((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (~(hskp12)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp10))) -> (c3_1 (a248)) -> (c1_1 (a248)) -> (~(c2_1 (a248))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(c1_1 (a217))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(hskp10)) -> (~(c1_1 (a239))) -> (c2_1 (a239)) -> (c3_1 (a239)) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> (~(hskp9)) -> False). % 0.76/0.99 do 0 intro. intros zenon_H144 zenon_H236 zenon_H247 zenon_H21c zenon_H21b zenon_H21a zenon_H176 zenon_H175 zenon_H174 zenon_H1 zenon_H1f1 zenon_H4f zenon_H33 zenon_H31 zenon_H1d4 zenon_H14e zenon_H14f zenon_H14d zenon_H25c zenon_H11a zenon_H119 zenon_H118 zenon_H23a zenon_H2a zenon_H1ff zenon_H200 zenon_H201 zenon_H24b zenon_H24c zenon_H24d zenon_H233 zenon_Had. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H219 | zenon_intro zenon_H237 ]. % 0.76/0.99 apply (zenon_L188_); trivial. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H117 | zenon_intro zenon_H82 ]. % 0.76/0.99 apply (zenon_L64_); trivial. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H219 | zenon_intro zenon_H248 ]. % 0.76/0.99 apply (zenon_L188_); trivial. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H70 | zenon_intro zenon_H9c ]. % 0.76/0.99 apply (zenon_L221_); trivial. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1d5 ]. % 0.76/0.99 apply (zenon_L490_); trivial. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hae ]. % 0.76/0.99 apply (zenon_L420_); trivial. % 0.76/0.99 exact (zenon_Had zenon_Hae). % 0.76/0.99 (* end of lemma zenon_L491_ *) % 0.76/0.99 assert (zenon_L492_ : ((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a236))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a239))/\((c3_1 (a239))/\(~(c1_1 (a239))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> ((hskp12)\/((hskp16)\/(hskp13))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (~(c0_1 (a214))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> (~(c0_1 (a215))) -> (~(c1_1 (a215))) -> (c2_1 (a215)) -> (~(c0_1 (a225))) -> (~(c2_1 (a225))) -> (c3_1 (a225)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> False). % 0.76/0.99 do 0 intro. intros zenon_H63 zenon_H1de zenon_H23c zenon_H23a zenon_H28d zenon_Hb1 zenon_Had zenon_H1fd zenon_H1df zenon_H148 zenon_H1bc zenon_H24b zenon_H247 zenon_H118 zenon_H119 zenon_H11a zenon_H149 zenon_H24c zenon_H24d zenon_H174 zenon_H175 zenon_H176 zenon_H25c zenon_H236 zenon_H1a1 zenon_H21a zenon_H21b zenon_H21c zenon_He7 zenon_He8 zenon_He9 zenon_H299 zenon_H145 zenon_H1c7 zenon_H53 zenon_H52 zenon_H116. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H64. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H59. zenon_intro zenon_H65. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H16f | zenon_intro zenon_H19c ]. % 0.76/0.99 apply (zenon_L464_); trivial. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Ha. zenon_intro zenon_H19d. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H195. zenon_intro zenon_H19e. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H193. zenon_intro zenon_H194. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.76/0.99 apply (zenon_L171_); trivial. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.76/0.99 apply (zenon_L460_); trivial. % 0.76/0.99 apply (zenon_L466_); trivial. % 0.76/0.99 apply (zenon_L176_); trivial. % 0.76/0.99 apply (zenon_L456_); trivial. % 0.76/0.99 (* end of lemma zenon_L492_ *) % 0.76/0.99 assert (zenon_L493_ : ((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(c0_1 (a214))) -> (c3_1 (a248)) -> (c1_1 (a248)) -> (~(c2_1 (a248))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c1_1 (a226))) -> (~(c2_1 (a226))) -> (c0_1 (a226)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(hskp12)) -> False). % 0.76/0.99 do 0 intro. intros zenon_H144 zenon_H236 zenon_H11a zenon_H119 zenon_H118 zenon_H247 zenon_H21c zenon_H21b zenon_H21a zenon_H176 zenon_H175 zenon_H174 zenon_H23a zenon_H24b zenon_H4f zenon_H33 zenon_H31 zenon_H24c zenon_H24d zenon_Hf1 zenon_Hf2 zenon_Hf3 zenon_H23c zenon_H1. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.76/0.99 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H219 | zenon_intro zenon_H237 ]. % 0.76/0.99 apply (zenon_L188_); trivial. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H117 | zenon_intro zenon_H82 ]. % 0.76/0.99 apply (zenon_L64_); trivial. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H219 | zenon_intro zenon_H248 ]. % 0.76/0.99 apply (zenon_L188_); trivial. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H70 | zenon_intro zenon_H9c ]. % 0.76/0.99 apply (zenon_L221_); trivial. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H23b ]. % 0.76/0.99 apply (zenon_L356_); trivial. % 0.76/0.99 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_Hff | zenon_intro zenon_H2 ]. % 0.76/0.99 apply (zenon_L269_); trivial. % 0.76/0.99 exact (zenon_H1 zenon_H2). % 0.76/0.99 (* end of lemma zenon_L493_ *) % 0.84/0.99 assert (zenon_L494_ : ((ndr1_0)/\((c0_1 (a226))/\((~(c1_1 (a226)))/\(~(c2_1 (a226)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> ((forall X95 : zenon_U, ((ndr1_0)->((c3_1 X95)\/((~(c0_1 X95))\/(~(c2_1 X95))))))\/((hskp7)\/(hskp6))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp12)\/(hskp17))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (c3_1 (a225)) -> (~(c2_1 (a225))) -> (~(c0_1 (a225))) -> (~(c0_1 (a215))) -> (~(c1_1 (a215))) -> (c2_1 (a215)) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a214))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> False). % 0.84/0.99 do 0 intro. intros zenon_Hfa zenon_H116 zenon_H19 zenon_H17 zenon_H15 zenon_H269 zenon_H149 zenon_H24c zenon_H24d zenon_H23c zenon_He9 zenon_He8 zenon_He7 zenon_H21a zenon_H21b zenon_H21c zenon_H118 zenon_H119 zenon_H11a zenon_H247 zenon_H24b zenon_H23a zenon_H176 zenon_H175 zenon_H174 zenon_H236 zenon_H148 zenon_H53. % 0.84/0.99 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.84/0.99 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf3. zenon_intro zenon_Hfd. % 0.84/0.99 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/0.99 apply (zenon_L266_); trivial. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.84/0.99 apply (zenon_L272_); trivial. % 0.84/0.99 apply (zenon_L493_); trivial. % 0.84/0.99 apply (zenon_L62_); trivial. % 0.84/0.99 (* end of lemma zenon_L494_ *) % 0.84/0.99 assert (zenon_L495_ : (forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67)))))) -> (ndr1_0) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> False). % 0.84/0.99 do 0 intro. intros zenon_H88 zenon_Ha zenon_H29e zenon_H29f zenon_H2a0. % 0.84/0.99 generalize (zenon_H88 (a213)). zenon_intro zenon_H2a1. % 0.84/0.99 apply (zenon_imply_s _ _ zenon_H2a1); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a2 ]. % 0.84/0.99 exact (zenon_H9 zenon_Ha). % 0.84/0.99 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2a3 ]. % 0.84/0.99 exact (zenon_H29e zenon_H2a4). % 0.84/0.99 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H2a6 | zenon_intro zenon_H2a5 ]. % 0.84/0.99 exact (zenon_H29f zenon_H2a6). % 0.84/0.99 exact (zenon_H2a5 zenon_H2a0). % 0.84/0.99 (* end of lemma zenon_L495_ *) % 0.84/0.99 assert (zenon_L496_ : (~(hskp21)) -> (hskp21) -> False). % 0.84/0.99 do 0 intro. intros zenon_H2a7 zenon_H2a8. % 0.84/0.99 exact (zenon_H2a7 zenon_H2a8). % 0.84/0.99 (* end of lemma zenon_L496_ *) % 0.84/0.99 assert (zenon_L497_ : (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (ndr1_0) -> (~(c2_1 (a259))) -> (c0_1 (a259)) -> (c3_1 (a259)) -> False). % 0.84/0.99 do 0 intro. intros zenon_H70 zenon_Ha zenon_H2a9 zenon_H2aa zenon_H2ab. % 0.84/0.99 generalize (zenon_H70 (a259)). zenon_intro zenon_H2ac. % 0.84/0.99 apply (zenon_imply_s _ _ zenon_H2ac); [ zenon_intro zenon_H9 | zenon_intro zenon_H2ad ]. % 0.84/0.99 exact (zenon_H9 zenon_Ha). % 0.84/0.99 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H2af | zenon_intro zenon_H2ae ]. % 0.84/0.99 exact (zenon_H2a9 zenon_H2af). % 0.84/0.99 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2b1 | zenon_intro zenon_H2b0 ]. % 0.84/0.99 exact (zenon_H2b1 zenon_H2aa). % 0.84/0.99 exact (zenon_H2b0 zenon_H2ab). % 0.84/0.99 (* end of lemma zenon_L497_ *) % 0.84/0.99 assert (zenon_L498_ : ((ndr1_0)/\((c0_1 (a259))/\((c3_1 (a259))/\(~(c2_1 (a259)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> False). % 0.84/0.99 do 0 intro. intros zenon_H2b2 zenon_H25c zenon_H43 zenon_H42 zenon_H41 zenon_H2a0 zenon_H29f zenon_H29e. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_Ha. zenon_intro zenon_H2b3. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H2aa. zenon_intro zenon_H2b4. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H2ab. zenon_intro zenon_H2a9. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H40 | zenon_intro zenon_H25d ]. % 0.84/0.99 apply (zenon_L19_); trivial. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H88 | zenon_intro zenon_H70 ]. % 0.84/0.99 apply (zenon_L495_); trivial. % 0.84/0.99 apply (zenon_L497_); trivial. % 0.84/0.99 (* end of lemma zenon_L498_ *) % 0.84/0.99 assert (zenon_L499_ : ((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a259))/\((c3_1 (a259))/\(~(c2_1 (a259))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> (~(hskp12)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/((hskp12)\/(hskp21))) -> False). % 0.84/0.99 do 0 intro. intros zenon_H54 zenon_H2b5 zenon_H25c zenon_H29e zenon_H29f zenon_H2a0 zenon_H1 zenon_H2b6. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H2b5); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2b2 ]. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_H88 | zenon_intro zenon_H2b7 ]. % 0.84/0.99 apply (zenon_L495_); trivial. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H2 | zenon_intro zenon_H2a8 ]. % 0.84/0.99 exact (zenon_H1 zenon_H2). % 0.84/0.99 exact (zenon_H2a7 zenon_H2a8). % 0.84/0.99 apply (zenon_L498_); trivial. % 0.84/0.99 (* end of lemma zenon_L499_ *) % 0.84/0.99 assert (zenon_L500_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> ((forall X95 : zenon_U, ((ndr1_0)->((c3_1 X95)\/((~(c0_1 X95))\/(~(c2_1 X95))))))\/((hskp7)\/(hskp6))) -> (~(hskp6)) -> (~(hskp7)) -> ((hskp3)\/(hskp16)) -> (~(hskp3)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/((hskp12)\/(hskp21))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a259))/\((c3_1 (a259))/\(~(c2_1 (a259))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> False). % 0.84/0.99 do 0 intro. intros zenon_H116 zenon_H19 zenon_H17 zenon_H15 zenon_H1f zenon_H1b zenon_H2b6 zenon_H2a0 zenon_H29f zenon_H29e zenon_H25c zenon_H2b5 zenon_H52. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/0.99 apply (zenon_L12_); trivial. % 0.84/0.99 apply (zenon_L499_); trivial. % 0.84/0.99 apply (zenon_L62_); trivial. % 0.84/0.99 (* end of lemma zenon_L500_ *) % 0.84/0.99 assert (zenon_L501_ : ((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a320)) -> (c2_1 (a320)) -> (~(c0_1 (a320))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> False). % 0.84/0.99 do 0 intro. intros zenon_H164 zenon_Hab zenon_H7b zenon_H7a zenon_H79 zenon_H2a0 zenon_H29f zenon_H29e. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Ha. zenon_intro zenon_H166. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H15b. zenon_intro zenon_H167. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 0.84/0.99 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H78 | zenon_intro zenon_Hac ]. % 0.84/0.99 apply (zenon_L33_); trivial. % 0.84/0.99 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H88 | zenon_intro zenon_H9c ]. % 0.84/0.99 apply (zenon_L495_); trivial. % 0.84/0.99 apply (zenon_L85_); trivial. % 0.84/0.99 (* end of lemma zenon_L501_ *) % 0.84/0.99 assert (zenon_L502_ : ((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (c3_1 (a320)) -> (c2_1 (a320)) -> (~(c0_1 (a320))) -> (~(hskp26)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> False). % 0.84/0.99 do 0 intro. intros zenon_Haf zenon_H169 zenon_Hab zenon_H2a0 zenon_H29f zenon_H29e zenon_H7b zenon_H7a zenon_H79 zenon_H132 zenon_H159. % 0.84/0.99 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.84/0.99 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.84/0.99 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H157 | zenon_intro zenon_H164 ]. % 0.84/0.99 apply (zenon_L84_); trivial. % 0.84/0.99 apply (zenon_L501_); trivial. % 0.84/0.99 (* end of lemma zenon_L502_ *) % 0.84/0.99 assert (zenon_L503_ : ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (c0_1 (a234)) -> (c3_1 (a234)) -> False). % 0.84/0.99 do 0 intro. intros zenon_H25c zenon_H43 zenon_H42 zenon_H41 zenon_H2a0 zenon_H29f zenon_H29e zenon_Ha zenon_H9c zenon_H135 zenon_H137. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H40 | zenon_intro zenon_H25d ]. % 0.84/0.99 apply (zenon_L19_); trivial. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H88 | zenon_intro zenon_H70 ]. % 0.84/0.99 apply (zenon_L495_); trivial. % 0.84/0.99 apply (zenon_L240_); trivial. % 0.84/0.99 (* end of lemma zenon_L503_ *) % 0.84/0.99 assert (zenon_L504_ : ((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a320)) -> (c2_1 (a320)) -> (~(c0_1 (a320))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> False). % 0.84/0.99 do 0 intro. intros zenon_H144 zenon_Hab zenon_H7b zenon_H7a zenon_H79 zenon_H25c zenon_H43 zenon_H42 zenon_H41 zenon_H2a0 zenon_H29f zenon_H29e. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.84/0.99 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H78 | zenon_intro zenon_Hac ]. % 0.84/0.99 apply (zenon_L33_); trivial. % 0.84/0.99 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H88 | zenon_intro zenon_H9c ]. % 0.84/0.99 apply (zenon_L495_); trivial. % 0.84/0.99 apply (zenon_L503_); trivial. % 0.84/0.99 (* end of lemma zenon_L504_ *) % 0.84/0.99 assert (zenon_L505_ : ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp1))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (c3_1 (a320)) -> (c2_1 (a320)) -> (forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (ndr1_0) -> (~(hskp1)) -> False). % 0.84/0.99 do 0 intro. intros zenon_H2b8 zenon_H2a0 zenon_H29f zenon_H29e zenon_H7b zenon_H7a zenon_H8d zenon_Ha zenon_H3. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H88 | zenon_intro zenon_H2b9 ]. % 0.84/0.99 apply (zenon_L495_); trivial. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H8c | zenon_intro zenon_H4 ]. % 0.84/0.99 apply (zenon_L36_); trivial. % 0.84/0.99 exact (zenon_H3 zenon_H4). % 0.84/0.99 (* end of lemma zenon_L505_ *) % 0.84/0.99 assert (zenon_L506_ : ((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp1))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (~(hskp1)) -> False). % 0.84/0.99 do 0 intro. intros zenon_Hc5 zenon_H10a zenon_H43 zenon_H42 zenon_H41 zenon_H102 zenon_H101 zenon_H100 zenon_H2b8 zenon_H2a0 zenon_H29f zenon_H29e zenon_H3. % 0.84/0.99 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc6. % 0.84/0.99 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7a. zenon_intro zenon_Hc7. % 0.84/0.99 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_H40 | zenon_intro zenon_H10b ]. % 0.84/0.99 apply (zenon_L19_); trivial. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H10b); [ zenon_intro zenon_Hff | zenon_intro zenon_H8d ]. % 0.84/0.99 apply (zenon_L55_); trivial. % 0.84/0.99 apply (zenon_L505_); trivial. % 0.84/0.99 (* end of lemma zenon_L506_ *) % 0.84/0.99 assert (zenon_L507_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a320))/\((c3_1 (a320))/\(~(c0_1 (a320))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> (~(hskp1)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp1))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> (~(hskp19)) -> ((hskp25)\/(hskp19)) -> False). % 0.84/0.99 do 0 intro. intros zenon_Hc1 zenon_H10a zenon_H29e zenon_H29f zenon_H2a0 zenon_H3 zenon_H2b8 zenon_H102 zenon_H101 zenon_H100 zenon_H43 zenon_H42 zenon_H41 zenon_H67 zenon_H69. % 0.84/0.99 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H6a | zenon_intro zenon_Hc5 ]. % 0.84/0.99 apply (zenon_L27_); trivial. % 0.84/0.99 apply (zenon_L506_); trivial. % 0.84/0.99 (* end of lemma zenon_L507_ *) % 0.84/0.99 assert (zenon_L508_ : ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(c1_1 (a217))) -> (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (ndr1_0) -> (~(c2_1 (a248))) -> (forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57)))))) -> (c1_1 (a248)) -> (c3_1 (a248)) -> False). % 0.84/0.99 do 0 intro. intros zenon_H25c zenon_H14e zenon_H14f zenon_H14d zenon_H1d0 zenon_H2a0 zenon_H29f zenon_H29e zenon_Ha zenon_H31 zenon_H57 zenon_H33 zenon_H4f. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H40 | zenon_intro zenon_H25d ]. % 0.84/0.99 apply (zenon_L253_); trivial. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H88 | zenon_intro zenon_H70 ]. % 0.84/0.99 apply (zenon_L495_); trivial. % 0.84/0.99 apply (zenon_L29_); trivial. % 0.84/0.99 (* end of lemma zenon_L508_ *) % 0.84/0.99 assert (zenon_L509_ : ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp3)\/(hskp6))) -> (c3_1 (a248)) -> (c1_1 (a248)) -> (~(c2_1 (a248))) -> (ndr1_0) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18))))) -> (~(c1_1 (a217))) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp3)) -> (~(hskp6)) -> False). % 0.84/0.99 do 0 intro. intros zenon_H61 zenon_H4f zenon_H33 zenon_H31 zenon_Ha zenon_H29e zenon_H29f zenon_H2a0 zenon_H1d0 zenon_H14d zenon_H14f zenon_H14e zenon_H25c zenon_H1b zenon_H17. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H57 | zenon_intro zenon_H62 ]. % 0.84/0.99 apply (zenon_L508_); trivial. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H1c | zenon_intro zenon_H18 ]. % 0.84/0.99 exact (zenon_H1b zenon_H1c). % 0.84/0.99 exact (zenon_H17 zenon_H18). % 0.84/0.99 (* end of lemma zenon_L509_ *) % 0.84/0.99 assert (zenon_L510_ : ((~(hskp7))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(~(c0_1 (a223))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((hskp10)\/(hskp17))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp3)\/(hskp6))) -> (~(c1_1 (a217))) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> (~(hskp5)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp6)\/(hskp5))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a259))/\((c3_1 (a259))/\(~(c2_1 (a259))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/((hskp12)\/(hskp21))) -> (~(hskp3)) -> ((hskp3)\/(hskp16)) -> (~(hskp6)) -> ((forall X95 : zenon_U, ((ndr1_0)->((c3_1 X95)\/((~(c0_1 X95))\/(~(c2_1 X95))))))\/((hskp7)\/(hskp6))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> False). % 0.84/0.99 do 0 intro. intros zenon_H127 zenon_H66 zenon_H2e zenon_H61 zenon_H14d zenon_H14f zenon_H14e zenon_H10c zenon_H267 zenon_H53 zenon_H52 zenon_H2b5 zenon_H25c zenon_H29e zenon_H29f zenon_H2a0 zenon_H2b6 zenon_H1b zenon_H1f zenon_H17 zenon_H19 zenon_H116. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H15 | zenon_intro zenon_H124 ]. % 0.84/0.99 apply (zenon_L500_); trivial. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Ha. zenon_intro zenon_H125. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H22. zenon_intro zenon_H126. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H23. zenon_intro zenon_H21. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/0.99 apply (zenon_L16_); trivial. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H268 ]. % 0.84/0.99 apply (zenon_L509_); trivial. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H18 | zenon_intro zenon_H10d ]. % 0.84/0.99 exact (zenon_H17 zenon_H18). % 0.84/0.99 exact (zenon_H10c zenon_H10d). % 0.84/0.99 apply (zenon_L24_); trivial. % 0.84/0.99 (* end of lemma zenon_L510_ *) % 0.84/0.99 assert (zenon_L511_ : ((~(hskp7))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(~(c0_1 (a223))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp3)\/(hskp6))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp15))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c1_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a242))/\((~(c0_1 (a242)))/\(~(c2_1 (a242))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a259))/\((c3_1 (a259))/\(~(c2_1 (a259))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/((hskp12)\/(hskp21))) -> (~(hskp3)) -> ((hskp3)\/(hskp16)) -> (~(hskp6)) -> ((forall X95 : zenon_U, ((ndr1_0)->((c3_1 X95)\/((~(c0_1 X95))\/(~(c2_1 X95))))))\/((hskp7)\/(hskp6))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> False). % 0.84/0.99 do 0 intro. intros zenon_H127 zenon_H66 zenon_H61 zenon_H121 zenon_H11a zenon_H119 zenon_H118 zenon_Hb0 zenon_H123 zenon_H52 zenon_H2b5 zenon_H25c zenon_H29e zenon_H29f zenon_H2a0 zenon_H2b6 zenon_H1b zenon_H1f zenon_H17 zenon_H19 zenon_H116. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H15 | zenon_intro zenon_H124 ]. % 0.84/0.99 apply (zenon_L500_); trivial. % 0.84/0.99 apply (zenon_L67_); trivial. % 0.84/0.99 (* end of lemma zenon_L511_ *) % 0.84/0.99 assert (zenon_L512_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a259))/\((c3_1 (a259))/\(~(c2_1 (a259))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/((hskp12)\/(hskp21))) -> (~(hskp12)) -> (~(hskp13)) -> ((hskp12)\/((hskp16)\/(hskp13))) -> False). % 0.84/0.99 do 0 intro. intros zenon_H52 zenon_H2b5 zenon_H25c zenon_H29e zenon_H29f zenon_H2a0 zenon_H2b6 zenon_H1 zenon_H1fb zenon_H1fd. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/0.99 apply (zenon_L171_); trivial. % 0.84/0.99 apply (zenon_L499_); trivial. % 0.84/0.99 (* end of lemma zenon_L512_ *) % 0.84/0.99 assert (zenon_L513_ : ((ndr1_0)/\((c2_1 (a239))/\((c3_1 (a239))/\(~(c1_1 (a239)))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp1))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (~(hskp1)) -> False). % 0.84/0.99 do 0 intro. intros zenon_H208 zenon_H2b8 zenon_H2a0 zenon_H29f zenon_H29e zenon_H3. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_Ha. zenon_intro zenon_H209. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H200. zenon_intro zenon_H20a. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H20a). zenon_intro zenon_H201. zenon_intro zenon_H1ff. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H2b8); [ zenon_intro zenon_H88 | zenon_intro zenon_H2b9 ]. % 0.84/0.99 apply (zenon_L495_); trivial. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H8c | zenon_intro zenon_H4 ]. % 0.84/0.99 apply (zenon_L175_); trivial. % 0.84/0.99 exact (zenon_H3 zenon_H4). % 0.84/0.99 (* end of lemma zenon_L513_ *) % 0.84/0.99 assert (zenon_L514_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a239))/\((c3_1 (a239))/\(~(c1_1 (a239))))))) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp12)\/((hskp16)\/(hskp13))) -> (~(hskp12)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/((hskp12)\/(hskp21))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a259))/\((c3_1 (a259))/\(~(c2_1 (a259))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> False). % 0.84/0.99 do 0 intro. intros zenon_H28d zenon_H2b8 zenon_H3 zenon_H1fd zenon_H1 zenon_H2b6 zenon_H2a0 zenon_H29f zenon_H29e zenon_H25c zenon_H2b5 zenon_H52. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.84/0.99 apply (zenon_L512_); trivial. % 0.84/0.99 apply (zenon_L513_); trivial. % 0.84/0.99 (* end of lemma zenon_L514_ *) % 0.84/0.99 assert (zenon_L515_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> ((forall X95 : zenon_U, ((ndr1_0)->((c3_1 X95)\/((~(c0_1 X95))\/(~(c2_1 X95))))))\/((hskp7)\/(hskp6))) -> (~(hskp6)) -> (~(hskp7)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a259))/\((c3_1 (a259))/\(~(c2_1 (a259))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/((hskp12)\/(hskp21))) -> ((hskp12)\/((hskp16)\/(hskp13))) -> (~(hskp1)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp1))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a239))/\((c3_1 (a239))/\(~(c1_1 (a239))))))) -> False). % 0.84/0.99 do 0 intro. intros zenon_H116 zenon_H19 zenon_H17 zenon_H15 zenon_H52 zenon_H2b5 zenon_H25c zenon_H29e zenon_H29f zenon_H2a0 zenon_H2b6 zenon_H1fd zenon_H3 zenon_H2b8 zenon_H28d. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/0.99 apply (zenon_L514_); trivial. % 0.84/0.99 apply (zenon_L62_); trivial. % 0.84/0.99 (* end of lemma zenon_L515_ *) % 0.84/0.99 assert (zenon_L516_ : ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (ndr1_0) -> (c0_1 (a296)) -> (c2_1 (a296)) -> (c3_1 (a296)) -> False). % 0.84/0.99 do 0 intro. intros zenon_H2ba zenon_H176 zenon_H175 zenon_H174 zenon_H70 zenon_Ha zenon_H15b zenon_H15c zenon_H15d. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H2bb ]. % 0.84/0.99 apply (zenon_L298_); trivial. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H82 | zenon_intro zenon_H9c ]. % 0.84/0.99 apply (zenon_L221_); trivial. % 0.84/0.99 apply (zenon_L85_); trivial. % 0.84/0.99 (* end of lemma zenon_L516_ *) % 0.84/0.99 assert (zenon_L517_ : ((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a261)) -> (c2_1 (a261)) -> (c1_1 (a261)) -> (~(c3_1 (a237))) -> (c0_1 (a237)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> False). % 0.84/0.99 do 0 intro. intros zenon_H164 zenon_H25c zenon_H9e zenon_H9d zenon_H9f zenon_Hc zenon_Hd zenon_H94 zenon_H2a0 zenon_H29f zenon_H29e zenon_H2ba zenon_H176 zenon_H175 zenon_H174. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Ha. zenon_intro zenon_H166. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H15b. zenon_intro zenon_H167. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H40 | zenon_intro zenon_H25d ]. % 0.84/0.99 apply (zenon_L178_); trivial. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H88 | zenon_intro zenon_H70 ]. % 0.84/0.99 apply (zenon_L495_); trivial. % 0.84/0.99 apply (zenon_L516_); trivial. % 0.84/0.99 (* end of lemma zenon_L517_ *) % 0.84/0.99 assert (zenon_L518_ : ((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(c3_1 (a237))) -> (c0_1 (a237)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp26)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> False). % 0.84/0.99 do 0 intro. intros zenon_Haf zenon_H169 zenon_H25c zenon_H2ba zenon_H2a0 zenon_H29f zenon_H29e zenon_H174 zenon_H175 zenon_H176 zenon_Hc zenon_Hd zenon_H94 zenon_H132 zenon_H159. % 0.84/0.99 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.84/0.99 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.84/0.99 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H157 | zenon_intro zenon_H164 ]. % 0.84/0.99 apply (zenon_L84_); trivial. % 0.84/0.99 apply (zenon_L517_); trivial. % 0.84/0.99 (* end of lemma zenon_L518_ *) % 0.84/0.99 assert (zenon_L519_ : ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (ndr1_0) -> (c0_1 (a234)) -> (c3_1 (a234)) -> False). % 0.84/0.99 do 0 intro. intros zenon_H2ba zenon_H176 zenon_H175 zenon_H174 zenon_H70 zenon_Ha zenon_H135 zenon_H137. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H2bb ]. % 0.84/0.99 apply (zenon_L298_); trivial. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H82 | zenon_intro zenon_H9c ]. % 0.84/0.99 apply (zenon_L221_); trivial. % 0.84/0.99 apply (zenon_L240_); trivial. % 0.84/0.99 (* end of lemma zenon_L519_ *) % 0.84/0.99 assert (zenon_L520_ : ((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c3_1 (a237))) -> (c0_1 (a237)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (c0_1 (a234)) -> (c3_1 (a234)) -> False). % 0.84/0.99 do 0 intro. intros zenon_Haf zenon_H25c zenon_Hc zenon_Hd zenon_H94 zenon_H2a0 zenon_H29f zenon_H29e zenon_H2ba zenon_H176 zenon_H175 zenon_H174 zenon_H135 zenon_H137. % 0.84/0.99 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.84/0.99 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.84/0.99 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H40 | zenon_intro zenon_H25d ]. % 0.84/0.99 apply (zenon_L178_); trivial. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H88 | zenon_intro zenon_H70 ]. % 0.84/0.99 apply (zenon_L495_); trivial. % 0.84/0.99 apply (zenon_L519_); trivial. % 0.84/0.99 (* end of lemma zenon_L520_ *) % 0.84/0.99 assert (zenon_L521_ : ((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(c3_1 (a237))) -> (c0_1 (a237)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> False). % 0.84/0.99 do 0 intro. intros zenon_H144 zenon_H145 zenon_H25c zenon_H2ba zenon_H2a0 zenon_H29f zenon_H29e zenon_H174 zenon_H175 zenon_H176 zenon_Hc zenon_Hd zenon_H94 zenon_H13e zenon_H140. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.84/0.99 apply (zenon_L75_); trivial. % 0.84/0.99 apply (zenon_L520_); trivial. % 0.84/0.99 (* end of lemma zenon_L521_ *) % 0.84/0.99 assert (zenon_L522_ : ((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (c2_1 (a223)) -> (c1_1 (a223)) -> (~(c0_1 (a223))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> False). % 0.84/0.99 do 0 intro. intros zenon_H113 zenon_H148 zenon_H217 zenon_H174 zenon_H175 zenon_H176 zenon_H13e zenon_H140 zenon_H23 zenon_H22 zenon_H21 zenon_H159 zenon_H94 zenon_H29e zenon_H29f zenon_H2a0 zenon_H2ba zenon_H25c zenon_H169 zenon_H145. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Ha. zenon_intro zenon_H114. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hd. zenon_intro zenon_H115. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.84/0.99 apply (zenon_L321_); trivial. % 0.84/0.99 apply (zenon_L518_); trivial. % 0.84/0.99 apply (zenon_L521_); trivial. % 0.84/0.99 (* end of lemma zenon_L522_ *) % 0.84/0.99 assert (zenon_L523_ : ((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(~(c0_1 (a223)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a259))/\((c3_1 (a259))/\(~(c2_1 (a259))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/((hskp12)\/(hskp21))) -> ((hskp12)\/((hskp16)\/(hskp13))) -> (~(hskp1)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp1))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a239))/\((c3_1 (a239))/\(~(c1_1 (a239))))))) -> False). % 0.84/0.99 do 0 intro. intros zenon_H124 zenon_H116 zenon_H148 zenon_H217 zenon_H174 zenon_H175 zenon_H176 zenon_H13e zenon_H140 zenon_H159 zenon_H94 zenon_H2ba zenon_H169 zenon_H145 zenon_H52 zenon_H2b5 zenon_H25c zenon_H29e zenon_H29f zenon_H2a0 zenon_H2b6 zenon_H1fd zenon_H3 zenon_H2b8 zenon_H28d. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Ha. zenon_intro zenon_H125. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H22. zenon_intro zenon_H126. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H23. zenon_intro zenon_H21. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/0.99 apply (zenon_L514_); trivial. % 0.84/0.99 apply (zenon_L522_); trivial. % 0.84/0.99 (* end of lemma zenon_L523_ *) % 0.84/0.99 assert (zenon_L524_ : ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((hskp26)\/(hskp9))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp9)) -> False). % 0.84/0.99 do 0 intro. intros zenon_H25c zenon_H43 zenon_H42 zenon_H41 zenon_H2a0 zenon_H29f zenon_H29e zenon_H288 zenon_H176 zenon_H175 zenon_H174 zenon_Ha zenon_H132 zenon_Had. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H40 | zenon_intro zenon_H25d ]. % 0.84/0.99 apply (zenon_L19_); trivial. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H88 | zenon_intro zenon_H70 ]. % 0.84/0.99 apply (zenon_L495_); trivial. % 0.84/0.99 apply (zenon_L299_); trivial. % 0.84/0.99 (* end of lemma zenon_L524_ *) % 0.84/0.99 assert (zenon_L525_ : ((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> False). % 0.84/0.99 do 0 intro. intros zenon_H144 zenon_H25c zenon_H43 zenon_H42 zenon_H41 zenon_H2a0 zenon_H29f zenon_H29e zenon_H2ba zenon_H176 zenon_H175 zenon_H174. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H40 | zenon_intro zenon_H25d ]. % 0.84/0.99 apply (zenon_L19_); trivial. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H88 | zenon_intro zenon_H70 ]. % 0.84/0.99 apply (zenon_L495_); trivial. % 0.84/0.99 apply (zenon_L519_); trivial. % 0.84/0.99 (* end of lemma zenon_L525_ *) % 0.84/0.99 assert (zenon_L526_ : ((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((hskp26)\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> False). % 0.84/0.99 do 0 intro. intros zenon_H54 zenon_H148 zenon_H2ba zenon_H29e zenon_H29f zenon_H2a0 zenon_H288 zenon_Had zenon_H176 zenon_H175 zenon_H174 zenon_H25c. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.84/0.99 apply (zenon_L524_); trivial. % 0.84/0.99 apply (zenon_L525_); trivial. % 0.84/0.99 (* end of lemma zenon_L526_ *) % 0.84/0.99 assert (zenon_L527_ : ((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (c0_1 (a226)) -> (~(c2_1 (a226))) -> (~(c1_1 (a226))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> False). % 0.84/0.99 do 0 intro. intros zenon_H4a zenon_H23c zenon_Hf3 zenon_Hf2 zenon_Hf1 zenon_H2a0 zenon_H29f zenon_H29e. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H23d ]. % 0.84/0.99 apply (zenon_L53_); trivial. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H88 | zenon_intro zenon_H1c4 ]. % 0.84/0.99 apply (zenon_L495_); trivial. % 0.84/0.99 apply (zenon_L119_); trivial. % 0.84/0.99 (* end of lemma zenon_L527_ *) % 0.84/0.99 assert (zenon_L528_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (ndr1_0) -> (~(c1_1 (a226))) -> (~(c2_1 (a226))) -> (c0_1 (a226)) -> (~(hskp12)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((hskp12)\/(hskp17))) -> False). % 0.84/0.99 do 0 intro. intros zenon_H53 zenon_H23c zenon_H2a0 zenon_H29f zenon_H29e zenon_Ha zenon_Hf1 zenon_Hf2 zenon_Hf3 zenon_H1 zenon_H269. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/0.99 apply (zenon_L266_); trivial. % 0.84/0.99 apply (zenon_L527_); trivial. % 0.84/0.99 (* end of lemma zenon_L528_ *) % 0.84/0.99 assert (zenon_L529_ : ((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> False). % 0.84/0.99 do 0 intro. intros zenon_H164 zenon_H25c zenon_H43 zenon_H42 zenon_H41 zenon_H2a0 zenon_H29f zenon_H29e zenon_H2ba zenon_H176 zenon_H175 zenon_H174. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Ha. zenon_intro zenon_H166. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H15b. zenon_intro zenon_H167. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H40 | zenon_intro zenon_H25d ]. % 0.84/0.99 apply (zenon_L19_); trivial. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H88 | zenon_intro zenon_H70 ]. % 0.84/0.99 apply (zenon_L495_); trivial. % 0.84/0.99 apply (zenon_L516_); trivial. % 0.84/0.99 (* end of lemma zenon_L529_ *) % 0.84/0.99 assert (zenon_L530_ : ((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> (~(hskp26)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> False). % 0.84/0.99 do 0 intro. intros zenon_Haf zenon_H169 zenon_H25c zenon_H174 zenon_H175 zenon_H176 zenon_H2ba zenon_H2a0 zenon_H29f zenon_H29e zenon_H43 zenon_H42 zenon_H41 zenon_H132 zenon_H159. % 0.84/0.99 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.84/0.99 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.84/0.99 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H157 | zenon_intro zenon_H164 ]. % 0.84/0.99 apply (zenon_L84_); trivial. % 0.84/0.99 apply (zenon_L529_); trivial. % 0.84/0.99 (* end of lemma zenon_L530_ *) % 0.84/0.99 assert (zenon_L531_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> (~(hskp17)) -> (~(hskp18)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (~(c1_1 (a245))) -> (~(c3_1 (a245))) -> (c0_1 (a245)) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> False). % 0.84/0.99 do 0 intro. intros zenon_H148 zenon_H1a1 zenon_H2c zenon_H19f zenon_H159 zenon_H41 zenon_H42 zenon_H43 zenon_H29e zenon_H29f zenon_H2a0 zenon_H2ba zenon_H176 zenon_H175 zenon_H174 zenon_H25c zenon_H169 zenon_H145. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.84/0.99 apply (zenon_L106_); trivial. % 0.84/0.99 apply (zenon_L530_); trivial. % 0.84/0.99 apply (zenon_L525_); trivial. % 0.84/0.99 (* end of lemma zenon_L531_ *) % 0.84/0.99 assert (zenon_L532_ : ((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (c1_1 (a257)) -> (c0_1 (a257)) -> (~(c3_1 (a257))) -> False). % 0.84/0.99 do 0 intro. intros zenon_H144 zenon_H25c zenon_H43 zenon_H42 zenon_H41 zenon_H2a0 zenon_H29f zenon_H29e zenon_H2ba zenon_H176 zenon_H175 zenon_H174 zenon_H189 zenon_H188 zenon_H187. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H40 | zenon_intro zenon_H25d ]. % 0.84/0.99 apply (zenon_L19_); trivial. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H88 | zenon_intro zenon_H70 ]. % 0.84/0.99 apply (zenon_L495_); trivial. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H2bb ]. % 0.84/0.99 apply (zenon_L298_); trivial. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H2bb); [ zenon_intro zenon_H82 | zenon_intro zenon_H9c ]. % 0.84/0.99 apply (zenon_L99_); trivial. % 0.84/0.99 apply (zenon_L240_); trivial. % 0.84/0.99 (* end of lemma zenon_L532_ *) % 0.84/0.99 assert (zenon_L533_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((hskp26)\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp12)) -> (~(hskp13)) -> ((hskp12)\/((hskp16)\/(hskp13))) -> False). % 0.84/0.99 do 0 intro. intros zenon_H52 zenon_H148 zenon_H2ba zenon_H29e zenon_H29f zenon_H2a0 zenon_H288 zenon_Had zenon_H176 zenon_H175 zenon_H174 zenon_H25c zenon_H1 zenon_H1fb zenon_H1fd. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/0.99 apply (zenon_L171_); trivial. % 0.84/0.99 apply (zenon_L526_); trivial. % 0.84/0.99 (* end of lemma zenon_L533_ *) % 0.84/0.99 assert (zenon_L534_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a239))/\((c3_1 (a239))/\(~(c1_1 (a239))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (~(c0_1 (a231))) -> ((hskp12)\/((hskp16)\/(hskp13))) -> (~(hskp12)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(hskp9)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((hskp26)\/(hskp9))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> False). % 0.84/0.99 do 0 intro. intros zenon_H28d zenon_Hb1 zenon_H5a zenon_H59 zenon_H58 zenon_H1fd zenon_H1 zenon_H25c zenon_H174 zenon_H175 zenon_H176 zenon_Had zenon_H288 zenon_H2a0 zenon_H29f zenon_H29e zenon_H2ba zenon_H148 zenon_H52. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.84/0.99 apply (zenon_L533_); trivial. % 0.84/0.99 apply (zenon_L176_); trivial. % 0.84/0.99 (* end of lemma zenon_L534_ *) % 0.84/0.99 assert (zenon_L535_ : ((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (c2_1 (a223)) -> (c1_1 (a223)) -> (~(c0_1 (a223))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((hskp26)\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((hskp12)\/((hskp16)\/(hskp13))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a239))/\((c3_1 (a239))/\(~(c1_1 (a239))))))) -> False). % 0.84/0.99 do 0 intro. intros zenon_H63 zenon_H116 zenon_H217 zenon_H13e zenon_H140 zenon_H23 zenon_H22 zenon_H21 zenon_H159 zenon_H94 zenon_H169 zenon_H145 zenon_H52 zenon_H148 zenon_H2ba zenon_H29e zenon_H29f zenon_H2a0 zenon_H288 zenon_Had zenon_H176 zenon_H175 zenon_H174 zenon_H25c zenon_H1fd zenon_Hb1 zenon_H28d. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H64. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H59. zenon_intro zenon_H65. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/0.99 apply (zenon_L534_); trivial. % 0.84/0.99 apply (zenon_L522_); trivial. % 0.84/0.99 (* end of lemma zenon_L535_ *) % 0.84/0.99 assert (zenon_L536_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (c0_1 (a226)) -> (~(c2_1 (a226))) -> (~(c1_1 (a226))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp29)) -> False). % 0.84/0.99 do 0 intro. intros zenon_H23c zenon_Hf3 zenon_Hf2 zenon_Hf1 zenon_H2a0 zenon_H29f zenon_H29e zenon_H159 zenon_H5a zenon_H59 zenon_Ha zenon_H132 zenon_H157. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H23d ]. % 0.84/0.99 apply (zenon_L53_); trivial. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H88 | zenon_intro zenon_H1c4 ]. % 0.84/0.99 apply (zenon_L495_); trivial. % 0.84/0.99 apply (zenon_L205_); trivial. % 0.84/0.99 (* end of lemma zenon_L536_ *) % 0.84/0.99 assert (zenon_L537_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (c0_1 (a226)) -> (~(c2_1 (a226))) -> (~(c1_1 (a226))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (ndr1_0) -> (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (~(c0_1 (a231))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> False). % 0.84/0.99 do 0 intro. intros zenon_H23c zenon_Hf3 zenon_Hf2 zenon_Hf1 zenon_H2a0 zenon_H29f zenon_H29e zenon_Ha zenon_H78 zenon_H58 zenon_H5a zenon_H59. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H23d ]. % 0.84/0.99 apply (zenon_L53_); trivial. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H88 | zenon_intro zenon_H1c4 ]. % 0.84/0.99 apply (zenon_L495_); trivial. % 0.84/0.99 apply (zenon_L399_); trivial. % 0.84/0.99 (* end of lemma zenon_L537_ *) % 0.84/0.99 assert (zenon_L538_ : ((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a231)) -> (c3_1 (a231)) -> (~(c0_1 (a231))) -> (~(c1_1 (a226))) -> (~(c2_1 (a226))) -> (c0_1 (a226)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> False). % 0.84/0.99 do 0 intro. intros zenon_H164 zenon_Hab zenon_H59 zenon_H5a zenon_H58 zenon_Hf1 zenon_Hf2 zenon_Hf3 zenon_H23c zenon_H2a0 zenon_H29f zenon_H29e. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Ha. zenon_intro zenon_H166. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H15b. zenon_intro zenon_H167. % 0.84/0.99 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 0.84/0.99 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H78 | zenon_intro zenon_Hac ]. % 0.84/0.99 apply (zenon_L537_); trivial. % 0.84/0.99 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H88 | zenon_intro zenon_H9c ]. % 0.84/0.99 apply (zenon_L495_); trivial. % 0.84/0.99 apply (zenon_L85_); trivial. % 0.84/0.99 (* end of lemma zenon_L538_ *) % 0.84/0.99 assert (zenon_L539_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c0_1 (a231))) -> (ndr1_0) -> (~(c1_1 (a226))) -> (~(c2_1 (a226))) -> (c0_1 (a226)) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (~(hskp26)) -> (c3_1 (a231)) -> (c1_1 (a231)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> False). % 0.84/0.99 do 0 intro. intros zenon_H169 zenon_Hab zenon_H58 zenon_Ha zenon_Hf1 zenon_Hf2 zenon_Hf3 zenon_H29e zenon_H29f zenon_H2a0 zenon_H159 zenon_H132 zenon_H5a zenon_H59 zenon_H23c. % 0.84/0.99 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H157 | zenon_intro zenon_H164 ]. % 0.84/0.99 apply (zenon_L536_); trivial. % 0.84/0.99 apply (zenon_L538_); trivial. % 0.84/0.99 (* end of lemma zenon_L539_ *) % 0.84/0.99 assert (zenon_L540_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (c0_1 (a226)) -> (~(c2_1 (a226))) -> (~(c1_1 (a226))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (c0_1 (a234)) -> (c3_1 (a234)) -> (c1_1 (a234)) -> False). % 0.84/1.00 do 0 intro. intros zenon_H23c zenon_Hf3 zenon_Hf2 zenon_Hf1 zenon_H2a0 zenon_H29f zenon_H29e zenon_Ha zenon_H9c zenon_H135 zenon_H137 zenon_H136. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H23d ]. % 0.84/1.00 apply (zenon_L53_); trivial. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H88 | zenon_intro zenon_H1c4 ]. % 0.84/1.00 apply (zenon_L495_); trivial. % 0.84/1.00 apply (zenon_L180_); trivial. % 0.84/1.00 (* end of lemma zenon_L540_ *) % 0.84/1.00 assert (zenon_L541_ : ((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (c0_1 (a226)) -> (~(c2_1 (a226))) -> (~(c1_1 (a226))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> False). % 0.84/1.00 do 0 intro. intros zenon_H63 zenon_H148 zenon_H23c zenon_H159 zenon_H2a0 zenon_H29f zenon_H29e zenon_Hf3 zenon_Hf2 zenon_Hf1 zenon_Hab zenon_H169. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H64. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H59. zenon_intro zenon_H65. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.84/1.00 apply (zenon_L539_); trivial. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.84/1.00 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H78 | zenon_intro zenon_Hac ]. % 0.84/1.00 apply (zenon_L537_); trivial. % 0.84/1.00 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H88 | zenon_intro zenon_H9c ]. % 0.84/1.00 apply (zenon_L495_); trivial. % 0.84/1.00 apply (zenon_L540_); trivial. % 0.84/1.00 (* end of lemma zenon_L541_ *) % 0.84/1.00 assert (zenon_L542_ : ((ndr1_0)/\((c0_1 (a226))/\((~(c1_1 (a226)))/\(~(c2_1 (a226)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((hskp10)\/(hskp17))) -> (c2_1 (a223)) -> (c1_1 (a223)) -> (~(c0_1 (a223))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> False). % 0.84/1.00 do 0 intro. intros zenon_Hfa zenon_H66 zenon_H148 zenon_H159 zenon_Hab zenon_H169 zenon_H2e zenon_H23 zenon_H22 zenon_H21 zenon_H29e zenon_H29f zenon_H2a0 zenon_H23c zenon_H53. % 0.84/1.00 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.84/1.00 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf3. zenon_intro zenon_Hfd. % 0.84/1.00 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.00 apply (zenon_L16_); trivial. % 0.84/1.00 apply (zenon_L527_); trivial. % 0.84/1.00 apply (zenon_L541_); trivial. % 0.84/1.00 (* end of lemma zenon_L542_ *) % 0.84/1.00 assert (zenon_L543_ : ((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(~(c0_1 (a223)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a226))/\((~(c1_1 (a226)))/\(~(c2_1 (a226))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((hskp10)\/(hskp17))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a242))/\((~(c0_1 (a242)))/\(~(c2_1 (a242))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c1_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp10))) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp15))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a239))/\((c3_1 (a239))/\(~(c1_1 (a239))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> ((hskp12)\/((hskp16)\/(hskp13))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((hskp26)\/(hskp9))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231))))))) -> False). % 0.84/1.00 do 0 intro. intros zenon_H124 zenon_H29b zenon_Hab zenon_H2e zenon_H23c zenon_H53 zenon_H123 zenon_Hb0 zenon_H118 zenon_H119 zenon_H11a zenon_H121 zenon_H28d zenon_Hb1 zenon_H1fd zenon_H25c zenon_H174 zenon_H175 zenon_H176 zenon_H288 zenon_H2a0 zenon_H29f zenon_H29e zenon_H2ba zenon_H148 zenon_H52 zenon_H145 zenon_H169 zenon_H94 zenon_H159 zenon_H140 zenon_H13e zenon_H217 zenon_H116 zenon_H66. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Ha. zenon_intro zenon_H125. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H22. zenon_intro zenon_H126. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H23. zenon_intro zenon_H21. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.00 apply (zenon_L66_); trivial. % 0.84/1.00 apply (zenon_L535_); trivial. % 0.84/1.00 apply (zenon_L542_); trivial. % 0.84/1.00 (* end of lemma zenon_L543_ *) % 0.84/1.00 assert (zenon_L544_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(c3_1 (a237))) -> (c0_1 (a237)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((forall X94 : zenon_U, ((ndr1_0)->((c1_1 X94)\/((~(c0_1 X94))\/(~(c3_1 X94))))))\/((hskp16)\/(hskp4))) -> (~(hskp4)) -> (~(hskp16)) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> (ndr1_0) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> False). % 0.84/1.00 do 0 intro. intros zenon_H148 zenon_H145 zenon_H25c zenon_H2ba zenon_H2a0 zenon_H29f zenon_H29e zenon_H174 zenon_H175 zenon_H176 zenon_Hc zenon_Hd zenon_H94 zenon_H13e zenon_H140 zenon_H1ec zenon_Hd3 zenon_H1d zenon_H11a zenon_H119 zenon_H118 zenon_Ha zenon_H100 zenon_H101 zenon_H102 zenon_H149. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.84/1.00 apply (zenon_L143_); trivial. % 0.84/1.00 apply (zenon_L521_); trivial. % 0.84/1.00 (* end of lemma zenon_L544_ *) % 0.84/1.00 assert (zenon_L545_ : (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))) -> (ndr1_0) -> (~(c2_1 (a218))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2)))))) -> (c3_1 (a218)) -> False). % 0.84/1.00 do 0 intro. intros zenon_H70 zenon_Ha zenon_H119 zenon_He6 zenon_H11a. % 0.84/1.00 generalize (zenon_H70 (a218)). zenon_intro zenon_H2bc. % 0.84/1.00 apply (zenon_imply_s _ _ zenon_H2bc); [ zenon_intro zenon_H9 | zenon_intro zenon_H2bd ]. % 0.84/1.00 exact (zenon_H9 zenon_Ha). % 0.84/1.00 apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_H120 | zenon_intro zenon_H12f ]. % 0.84/1.00 exact (zenon_H119 zenon_H120). % 0.84/1.00 apply (zenon_or_s _ _ zenon_H12f); [ zenon_intro zenon_H128 | zenon_intro zenon_H11f ]. % 0.84/1.00 apply (zenon_L69_); trivial. % 0.84/1.00 exact (zenon_H11f zenon_H11a). % 0.84/1.00 (* end of lemma zenon_L545_ *) % 0.84/1.00 assert (zenon_L546_ : ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (ndr1_0) -> (~(c2_1 (a218))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2)))))) -> (c3_1 (a218)) -> False). % 0.84/1.00 do 0 intro. intros zenon_H25c zenon_H43 zenon_H42 zenon_H41 zenon_H2a0 zenon_H29f zenon_H29e zenon_Ha zenon_H119 zenon_He6 zenon_H11a. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H40 | zenon_intro zenon_H25d ]. % 0.84/1.00 apply (zenon_L19_); trivial. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H88 | zenon_intro zenon_H70 ]. % 0.84/1.00 apply (zenon_L495_); trivial. % 0.84/1.00 apply (zenon_L545_); trivial. % 0.84/1.00 (* end of lemma zenon_L546_ *) % 0.84/1.00 assert (zenon_L547_ : ((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(hskp1))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c0_1 (a226)) -> (~(c2_1 (a226))) -> (~(c1_1 (a226))) -> (~(hskp1)) -> False). % 0.84/1.00 do 0 intro. intros zenon_H54 zenon_Hfb zenon_H11a zenon_H119 zenon_H29e zenon_H29f zenon_H2a0 zenon_H25c zenon_Hf3 zenon_Hf2 zenon_Hf1 zenon_H3. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.84/1.00 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_He6 | zenon_intro zenon_Hfe ]. % 0.84/1.00 apply (zenon_L546_); trivial. % 0.84/1.00 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H4 ]. % 0.84/1.00 apply (zenon_L53_); trivial. % 0.84/1.00 exact (zenon_H3 zenon_H4). % 0.84/1.00 (* end of lemma zenon_L547_ *) % 0.84/1.00 assert (zenon_L548_ : ((ndr1_0)/\((c0_1 (a226))/\((~(c1_1 (a226)))/\(~(c2_1 (a226)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X94 : zenon_U, ((ndr1_0)->((c1_1 X94)\/((~(c0_1 X94))\/(~(c3_1 X94))))))\/((hskp16)\/(hskp4))) -> (~(hskp4)) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/(hskp1))) -> False). % 0.84/1.00 do 0 intro. intros zenon_Hfa zenon_H52 zenon_H29e zenon_H29f zenon_H2a0 zenon_H25c zenon_H1ec zenon_Hd3 zenon_H11a zenon_H119 zenon_H118 zenon_H3 zenon_Hfb. % 0.84/1.00 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.84/1.00 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf3. zenon_intro zenon_Hfd. % 0.84/1.00 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/1.00 apply (zenon_L167_); trivial. % 0.84/1.00 apply (zenon_L547_); trivial. % 0.84/1.00 (* end of lemma zenon_L548_ *) % 0.84/1.00 assert (zenon_L549_ : ((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> (~(c1_1 (a217))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> False). % 0.84/1.00 do 0 intro. intros zenon_H113 zenon_H148 zenon_H156 zenon_H13e zenon_H14f zenon_H14e zenon_H14d zenon_H159 zenon_H94 zenon_H176 zenon_H175 zenon_H174 zenon_H29e zenon_H29f zenon_H2a0 zenon_H2ba zenon_H25c zenon_H169 zenon_H145. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Ha. zenon_intro zenon_H114. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hd. zenon_intro zenon_H115. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.84/1.00 apply (zenon_L82_); trivial. % 0.84/1.00 apply (zenon_L518_); trivial. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.84/1.00 apply (zenon_L82_); trivial. % 0.84/1.00 apply (zenon_L520_); trivial. % 0.84/1.00 (* end of lemma zenon_L549_ *) % 0.84/1.00 assert (zenon_L550_ : ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (ndr1_0) -> (~(c2_1 (a248))) -> (forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57)))))) -> (c1_1 (a248)) -> (c3_1 (a248)) -> False). % 0.84/1.00 do 0 intro. intros zenon_H25c zenon_H43 zenon_H42 zenon_H41 zenon_H2a0 zenon_H29f zenon_H29e zenon_Ha zenon_H31 zenon_H57 zenon_H33 zenon_H4f. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H40 | zenon_intro zenon_H25d ]. % 0.84/1.00 apply (zenon_L19_); trivial. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H88 | zenon_intro zenon_H70 ]. % 0.84/1.00 apply (zenon_L495_); trivial. % 0.84/1.00 apply (zenon_L29_); trivial. % 0.84/1.00 (* end of lemma zenon_L550_ *) % 0.84/1.00 assert (zenon_L551_ : ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> (~(c1_1 (a245))) -> (~(c3_1 (a245))) -> (c0_1 (a245)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a248)) -> (c1_1 (a248)) -> (~(c2_1 (a248))) -> (ndr1_0) -> (~(hskp18)) -> False). % 0.84/1.00 do 0 intro. intros zenon_H1c7 zenon_H29e zenon_H29f zenon_H2a0 zenon_H41 zenon_H42 zenon_H43 zenon_H25c zenon_H4f zenon_H33 zenon_H31 zenon_Ha zenon_H19f. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c8 ]. % 0.84/1.00 apply (zenon_L550_); trivial. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1a0 ]. % 0.84/1.00 apply (zenon_L119_); trivial. % 0.84/1.00 exact (zenon_H19f zenon_H1a0). % 0.84/1.00 (* end of lemma zenon_L551_ *) % 0.84/1.00 assert (zenon_L552_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp5))) -> (~(hskp5)) -> ((hskp18)\/((hskp27)\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (~(c0_1 (a215))) -> (~(c1_1 (a215))) -> (c2_1 (a215)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp1)) -> (~(hskp8)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp1)\/(hskp8))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> (~(hskp3)) -> ((hskp3)\/(hskp16)) -> False). % 0.84/1.00 do 0 intro. intros zenon_H52 zenon_H53 zenon_H25c zenon_H2a0 zenon_H29f zenon_H29e zenon_H1c7 zenon_H148 zenon_H226 zenon_H10c zenon_H1a1 zenon_H159 zenon_H21a zenon_H21b zenon_H21c zenon_H224 zenon_H169 zenon_H145 zenon_H233 zenon_H2a zenon_H3 zenon_H3e zenon_H232 zenon_H1df zenon_H1b zenon_H1f. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/1.00 apply (zenon_L12_); trivial. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.00 apply (zenon_L197_); trivial. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.84/1.00 apply (zenon_L551_); trivial. % 0.84/1.00 apply (zenon_L196_); trivial. % 0.84/1.00 (* end of lemma zenon_L552_ *) % 0.84/1.00 assert (zenon_L553_ : ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp14))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17)))))) -> (~(c0_1 (a215))) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (ndr1_0) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37)))))) -> (~(hskp14)) -> False). % 0.84/1.00 do 0 intro. intros zenon_H275 zenon_H21c zenon_H21b zenon_H228 zenon_H21a zenon_H101 zenon_H100 zenon_Ha zenon_H1a7 zenon_H273. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H22e | zenon_intro zenon_H276 ]. % 0.84/1.00 apply (zenon_L195_); trivial. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H82 | zenon_intro zenon_H274 ]. % 0.84/1.00 apply (zenon_L144_); trivial. % 0.84/1.00 exact (zenon_H273 zenon_H274). % 0.84/1.00 (* end of lemma zenon_L553_ *) % 0.84/1.00 assert (zenon_L554_ : ((ndr1_0)/\((c3_1 (a241))/\((~(c0_1 (a241)))/\(~(c1_1 (a241)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (~(c0_1 (a231))) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> False). % 0.84/1.00 do 0 intro. intros zenon_H28a zenon_H148 zenon_H226 zenon_H10c zenon_H21c zenon_H21b zenon_H21a zenon_Hb1 zenon_Had zenon_H5a zenon_H59 zenon_H58 zenon_H100 zenon_H101 zenon_H102 zenon_H149. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_Ha. zenon_intro zenon_H28b. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H279. zenon_intro zenon_H28c. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H278. zenon_intro zenon_H277. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.84/1.00 apply (zenon_L387_); trivial. % 0.84/1.00 apply (zenon_L192_); trivial. % 0.84/1.00 (* end of lemma zenon_L554_ *) % 0.84/1.00 assert (zenon_L555_ : ((ndr1_0)/\((c0_1 (a226))/\((~(c1_1 (a226)))/\(~(c2_1 (a226)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c1_1 X17)\/(~(c3_1 X17))))))\/((hskp1)\/(hskp8))) -> (~(hskp8)) -> (~(hskp1)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> (~(hskp5)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> False). % 0.84/1.00 do 0 intro. intros zenon_Hfa zenon_H66 zenon_Hab zenon_H1df zenon_H232 zenon_H3e zenon_H3 zenon_H233 zenon_H145 zenon_H169 zenon_H224 zenon_H21c zenon_H21b zenon_H21a zenon_H159 zenon_H1a1 zenon_H10c zenon_H226 zenon_H148 zenon_H29e zenon_H29f zenon_H2a0 zenon_H23c zenon_H53. % 0.84/1.00 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.84/1.00 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf3. zenon_intro zenon_Hfd. % 0.84/1.00 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.00 apply (zenon_L197_); trivial. % 0.84/1.00 apply (zenon_L527_); trivial. % 0.84/1.00 apply (zenon_L541_); trivial. % 0.84/1.00 (* end of lemma zenon_L555_ *) % 0.84/1.00 assert (zenon_L556_ : ((ndr1_0)/\((c3_1 (a225))/\((~(c0_1 (a225)))/\(~(c2_1 (a225)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> False). % 0.84/1.00 do 0 intro. intros zenon_H10e zenon_H148 zenon_H226 zenon_H10c zenon_H21c zenon_H21b zenon_H21a zenon_H100 zenon_H101 zenon_H102 zenon_H149. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Ha. zenon_intro zenon_H110. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He9. zenon_intro zenon_H111. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_He7. zenon_intro zenon_He8. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.84/1.00 apply (zenon_L172_); trivial. % 0.84/1.00 apply (zenon_L192_); trivial. % 0.84/1.00 (* end of lemma zenon_L556_ *) % 0.84/1.00 assert (zenon_L557_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(c2_1 (a236))) -> (c0_1 (a236)) -> (~(c3_1 (a236))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp29)) -> False). % 0.84/1.00 do 0 intro. intros zenon_H236 zenon_H21c zenon_H21b zenon_H21a zenon_H11a zenon_H119 zenon_H118 zenon_H23c zenon_H193 zenon_H195 zenon_H194 zenon_H2a0 zenon_H29f zenon_H29e zenon_H159 zenon_H5a zenon_H59 zenon_Ha zenon_H132 zenon_H157. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H219 | zenon_intro zenon_H237 ]. % 0.84/1.00 apply (zenon_L188_); trivial. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H117 | zenon_intro zenon_H82 ]. % 0.84/1.00 apply (zenon_L64_); trivial. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H23d ]. % 0.84/1.00 apply (zenon_L130_); trivial. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H88 | zenon_intro zenon_H1c4 ]. % 0.84/1.00 apply (zenon_L495_); trivial. % 0.84/1.00 apply (zenon_L205_); trivial. % 0.84/1.00 (* end of lemma zenon_L557_ *) % 0.84/1.00 assert (zenon_L558_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(c2_1 (a236))) -> (c0_1 (a236)) -> (~(c3_1 (a236))) -> (forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (c1_1 (a231)) -> (c3_1 (a231)) -> False). % 0.84/1.00 do 0 intro. intros zenon_H23c zenon_H193 zenon_H195 zenon_H194 zenon_H82 zenon_H2a0 zenon_H29f zenon_H29e zenon_Ha zenon_H8d zenon_H59 zenon_H5a. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H23d ]. % 0.84/1.00 apply (zenon_L130_); trivial. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H88 | zenon_intro zenon_H1c4 ]. % 0.84/1.00 apply (zenon_L495_); trivial. % 0.84/1.00 apply (zenon_L204_); trivial. % 0.84/1.00 (* end of lemma zenon_L558_ *) % 0.84/1.00 assert (zenon_L559_ : ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c0_1 (a237)) -> (~(c3_1 (a237))) -> (forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (c0_1 (a234)) -> (c3_1 (a234)) -> False). % 0.84/1.00 do 0 intro. intros zenon_H25c zenon_Hd zenon_Hc zenon_H82 zenon_H2a0 zenon_H29f zenon_H29e zenon_Ha zenon_H9c zenon_H135 zenon_H137. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H40 | zenon_intro zenon_H25d ]. % 0.84/1.00 apply (zenon_L177_); trivial. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H88 | zenon_intro zenon_H70 ]. % 0.84/1.00 apply (zenon_L495_); trivial. % 0.84/1.00 apply (zenon_L240_); trivial. % 0.84/1.00 (* end of lemma zenon_L559_ *) % 0.84/1.00 assert (zenon_L560_ : ((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (~(c3_1 (a236))) -> (c0_1 (a236)) -> (~(c2_1 (a236))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(c0_1 (a215))) -> (~(c1_1 (a215))) -> (c2_1 (a215)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c0_1 (a237)) -> (~(c3_1 (a237))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> False). % 0.84/1.00 do 0 intro. intros zenon_H144 zenon_H236 zenon_H11a zenon_H119 zenon_H118 zenon_H247 zenon_H5a zenon_H59 zenon_H194 zenon_H195 zenon_H193 zenon_H23c zenon_H21a zenon_H21b zenon_H21c zenon_H224 zenon_H25c zenon_Hd zenon_Hc zenon_H2a0 zenon_H29f zenon_H29e. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H219 | zenon_intro zenon_H237 ]. % 0.84/1.00 apply (zenon_L188_); trivial. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H117 | zenon_intro zenon_H82 ]. % 0.84/1.00 apply (zenon_L64_); trivial. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H219 | zenon_intro zenon_H248 ]. % 0.84/1.00 apply (zenon_L188_); trivial. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H70 | zenon_intro zenon_H9c ]. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H219 | zenon_intro zenon_H225 ]. % 0.84/1.00 apply (zenon_L188_); trivial. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H9c | zenon_intro zenon_H8d ]. % 0.84/1.00 apply (zenon_L240_); trivial. % 0.84/1.00 apply (zenon_L558_); trivial. % 0.84/1.00 apply (zenon_L559_); trivial. % 0.84/1.00 (* end of lemma zenon_L560_ *) % 0.84/1.00 assert (zenon_L561_ : ((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c3_1 (a236))) -> (c0_1 (a236)) -> (~(c2_1 (a236))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> False). % 0.84/1.00 do 0 intro. intros zenon_H113 zenon_H148 zenon_H25c zenon_H247 zenon_H236 zenon_H194 zenon_H195 zenon_H193 zenon_H29e zenon_H29f zenon_H2a0 zenon_H159 zenon_H5a zenon_H59 zenon_H23c zenon_H11a zenon_H119 zenon_H118 zenon_H21c zenon_H21b zenon_H21a zenon_H224 zenon_H169. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Ha. zenon_intro zenon_H114. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hd. zenon_intro zenon_H115. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H157 | zenon_intro zenon_H164 ]. % 0.84/1.00 apply (zenon_L557_); trivial. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Ha. zenon_intro zenon_H166. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H15b. zenon_intro zenon_H167. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H219 | zenon_intro zenon_H237 ]. % 0.84/1.00 apply (zenon_L188_); trivial. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H117 | zenon_intro zenon_H82 ]. % 0.84/1.00 apply (zenon_L64_); trivial. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H219 | zenon_intro zenon_H225 ]. % 0.84/1.00 apply (zenon_L188_); trivial. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H9c | zenon_intro zenon_H8d ]. % 0.84/1.00 apply (zenon_L85_); trivial. % 0.84/1.00 apply (zenon_L558_); trivial. % 0.84/1.00 apply (zenon_L560_); trivial. % 0.84/1.00 (* end of lemma zenon_L561_ *) % 0.84/1.00 assert (zenon_L562_ : ((ndr1_0)/\((c3_1 (a218))/\((~(c1_1 (a218)))/\(~(c2_1 (a218)))))) -> ((~(hskp6))\/((ndr1_0)/\((c1_1 (a220))/\((c2_1 (a220))/\(~(c3_1 (a220))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a236))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> ((hskp12)\/((hskp16)\/(hskp13))) -> (~(hskp1)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp1))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a239))/\((c3_1 (a239))/\(~(c1_1 (a239))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> ((forall X95 : zenon_U, ((ndr1_0)->((c3_1 X95)\/((~(c0_1 X95))\/(~(c2_1 X95))))))\/((hskp7)\/(hskp6))) -> ((hskp3)\/(hskp16)) -> (~(hskp3)) -> ((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/((hskp12)\/(hskp21))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a259))/\((c3_1 (a259))/\(~(c2_1 (a259))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a242))/\((~(c0_1 (a242)))/\(~(c2_1 (a242))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c1_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp10))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp15))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((hskp3)\/(hskp6))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231))))))) -> ((~(hskp7))\/((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(~(c0_1 (a223))))))) -> False). % 0.84/1.00 do 0 intro. intros zenon_H23e zenon_H23f zenon_H1de zenon_H247 zenon_H23c zenon_H1fd zenon_H3 zenon_H2b8 zenon_H28d zenon_H1df zenon_H1bc zenon_H145 zenon_H169 zenon_H224 zenon_H159 zenon_H1c7 zenon_H1a1 zenon_H148 zenon_H53 zenon_H236 zenon_H21c zenon_H21b zenon_H21a zenon_H116 zenon_H19 zenon_H1f zenon_H1b zenon_H2b6 zenon_H2a0 zenon_H29f zenon_H29e zenon_H25c zenon_H2b5 zenon_H52 zenon_H123 zenon_Hb0 zenon_H121 zenon_H61 zenon_H66 zenon_H127. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H240. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H11a. zenon_intro zenon_H241. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H17 | zenon_intro zenon_H16a ]. % 0.84/1.00 apply (zenon_L511_); trivial. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Ha. zenon_intro zenon_H16b. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H101. zenon_intro zenon_H16c. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H102. zenon_intro zenon_H100. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.00 apply (zenon_L203_); trivial. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H64. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H59. zenon_intro zenon_H65. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H16f | zenon_intro zenon_H19c ]. % 0.84/1.00 apply (zenon_L212_); trivial. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Ha. zenon_intro zenon_H19d. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H195. zenon_intro zenon_H19e. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H193. zenon_intro zenon_H194. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.00 apply (zenon_L514_); trivial. % 0.84/1.00 apply (zenon_L561_); trivial. % 0.84/1.00 (* end of lemma zenon_L562_ *) % 0.84/1.00 assert (zenon_L563_ : ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (ndr1_0) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> False). % 0.84/1.00 do 0 intro. intros zenon_H25c zenon_H43 zenon_H42 zenon_H41 zenon_H2a0 zenon_H29f zenon_H29e zenon_H82 zenon_Ha zenon_H174 zenon_H175 zenon_H176. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H40 | zenon_intro zenon_H25d ]. % 0.84/1.00 apply (zenon_L19_); trivial. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H88 | zenon_intro zenon_H70 ]. % 0.84/1.00 apply (zenon_L495_); trivial. % 0.84/1.00 apply (zenon_L221_); trivial. % 0.84/1.00 (* end of lemma zenon_L563_ *) % 0.84/1.00 assert (zenon_L564_ : ((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> False). % 0.84/1.00 do 0 intro. intros zenon_H54 zenon_H236 zenon_H21c zenon_H21b zenon_H21a zenon_H11a zenon_H119 zenon_H118 zenon_H25c zenon_H2a0 zenon_H29f zenon_H29e zenon_H174 zenon_H175 zenon_H176. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H219 | zenon_intro zenon_H237 ]. % 0.84/1.00 apply (zenon_L188_); trivial. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H117 | zenon_intro zenon_H82 ]. % 0.84/1.00 apply (zenon_L64_); trivial. % 0.84/1.00 apply (zenon_L563_); trivial. % 0.84/1.00 (* end of lemma zenon_L564_ *) % 0.84/1.00 assert (zenon_L565_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (~(hskp12)) -> (~(hskp13)) -> ((hskp12)\/((hskp16)\/(hskp13))) -> False). % 0.84/1.00 do 0 intro. intros zenon_H52 zenon_H236 zenon_H29e zenon_H29f zenon_H2a0 zenon_H174 zenon_H175 zenon_H176 zenon_H25c zenon_H11a zenon_H119 zenon_H118 zenon_H21c zenon_H21b zenon_H21a zenon_H1 zenon_H1fb zenon_H1fd. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/1.00 apply (zenon_L171_); trivial. % 0.84/1.00 apply (zenon_L564_); trivial. % 0.84/1.00 (* end of lemma zenon_L565_ *) % 0.84/1.00 assert (zenon_L566_ : ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c0_1 (a237)) -> (~(c3_1 (a237))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (ndr1_0) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> False). % 0.84/1.00 do 0 intro. intros zenon_H25c zenon_Hd zenon_Hc zenon_H2a0 zenon_H29f zenon_H29e zenon_H82 zenon_Ha zenon_H174 zenon_H175 zenon_H176. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H40 | zenon_intro zenon_H25d ]. % 0.84/1.00 apply (zenon_L177_); trivial. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H88 | zenon_intro zenon_H70 ]. % 0.84/1.00 apply (zenon_L495_); trivial. % 0.84/1.00 apply (zenon_L221_); trivial. % 0.84/1.00 (* end of lemma zenon_L566_ *) % 0.84/1.00 assert (zenon_L567_ : ((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> False). % 0.84/1.00 do 0 intro. intros zenon_H113 zenon_H236 zenon_H21c zenon_H21b zenon_H21a zenon_H11a zenon_H119 zenon_H118 zenon_H25c zenon_H2a0 zenon_H29f zenon_H29e zenon_H174 zenon_H175 zenon_H176. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Ha. zenon_intro zenon_H114. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hd. zenon_intro zenon_H115. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H219 | zenon_intro zenon_H237 ]. % 0.84/1.00 apply (zenon_L188_); trivial. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H117 | zenon_intro zenon_H82 ]. % 0.84/1.00 apply (zenon_L64_); trivial. % 0.84/1.00 apply (zenon_L566_); trivial. % 0.84/1.00 (* end of lemma zenon_L567_ *) % 0.84/1.00 assert (zenon_L568_ : ((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> ((hskp12)\/((hskp16)\/(hskp13))) -> (~(hskp9)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a239))/\((c3_1 (a239))/\(~(c1_1 (a239))))))) -> False). % 0.84/1.00 do 0 intro. intros zenon_H63 zenon_H116 zenon_H52 zenon_H236 zenon_H29e zenon_H29f zenon_H2a0 zenon_H174 zenon_H175 zenon_H176 zenon_H25c zenon_H11a zenon_H119 zenon_H118 zenon_H21c zenon_H21b zenon_H21a zenon_H1fd zenon_Had zenon_Hb1 zenon_H28d. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H64. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H59. zenon_intro zenon_H65. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.84/1.00 apply (zenon_L565_); trivial. % 0.84/1.00 apply (zenon_L176_); trivial. % 0.84/1.00 apply (zenon_L567_); trivial. % 0.84/1.00 (* end of lemma zenon_L568_ *) % 0.84/1.00 assert (zenon_L569_ : ((ndr1_0)/\((c1_1 (a223))/\((c2_1 (a223))/\(~(c0_1 (a223)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a226))/\((~(c1_1 (a226)))/\(~(c2_1 (a226))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((hskp10)\/(hskp17))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a242))/\((~(c0_1 (a242)))/\(~(c2_1 (a242))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c1_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp10))) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp15))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a239))/\((c3_1 (a239))/\(~(c1_1 (a239))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> ((hskp12)\/((hskp16)\/(hskp13))) -> (~(c0_1 (a215))) -> (~(c1_1 (a215))) -> (c2_1 (a215)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231))))))) -> False). % 0.84/1.00 do 0 intro. intros zenon_H124 zenon_H29b zenon_H148 zenon_H159 zenon_Hab zenon_H169 zenon_H2e zenon_H23c zenon_H53 zenon_H123 zenon_Hb0 zenon_H118 zenon_H119 zenon_H11a zenon_H121 zenon_H28d zenon_Hb1 zenon_H1fd zenon_H21a zenon_H21b zenon_H21c zenon_H25c zenon_H176 zenon_H175 zenon_H174 zenon_H2a0 zenon_H29f zenon_H29e zenon_H236 zenon_H52 zenon_H116 zenon_H66. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Ha. zenon_intro zenon_H125. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H22. zenon_intro zenon_H126. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H23. zenon_intro zenon_H21. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.00 apply (zenon_L66_); trivial. % 0.84/1.00 apply (zenon_L568_); trivial. % 0.84/1.00 apply (zenon_L542_); trivial. % 0.84/1.00 (* end of lemma zenon_L569_ *) % 0.84/1.00 assert (zenon_L570_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(c2_1 (a236))) -> (c0_1 (a236)) -> (~(c3_1 (a236))) -> (forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (c0_1 (a234)) -> (c3_1 (a234)) -> (c1_1 (a234)) -> False). % 0.84/1.00 do 0 intro. intros zenon_H23c zenon_H193 zenon_H195 zenon_H194 zenon_H82 zenon_H2a0 zenon_H29f zenon_H29e zenon_Ha zenon_H9c zenon_H135 zenon_H137 zenon_H136. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H23d ]. % 0.84/1.00 apply (zenon_L130_); trivial. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H88 | zenon_intro zenon_H1c4 ]. % 0.84/1.00 apply (zenon_L495_); trivial. % 0.84/1.00 apply (zenon_L180_); trivial. % 0.84/1.00 (* end of lemma zenon_L570_ *) % 0.84/1.00 assert (zenon_L571_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(c2_1 (a236))) -> (c0_1 (a236)) -> (~(c3_1 (a236))) -> (forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (ndr1_0) -> (c0_1 (a234)) -> (c3_1 (a234)) -> (c1_1 (a234)) -> False). % 0.84/1.00 do 0 intro. intros zenon_H247 zenon_H21c zenon_H21b zenon_H21a zenon_H176 zenon_H175 zenon_H174 zenon_H23c zenon_H193 zenon_H195 zenon_H194 zenon_H82 zenon_H2a0 zenon_H29f zenon_H29e zenon_Ha zenon_H135 zenon_H137 zenon_H136. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H219 | zenon_intro zenon_H248 ]. % 0.84/1.00 apply (zenon_L188_); trivial. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H70 | zenon_intro zenon_H9c ]. % 0.84/1.00 apply (zenon_L221_); trivial. % 0.84/1.00 apply (zenon_L570_); trivial. % 0.84/1.00 (* end of lemma zenon_L571_ *) % 0.84/1.00 assert (zenon_L572_ : ((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(c2_1 (a236))) -> (c0_1 (a236)) -> (~(c3_1 (a236))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> False). % 0.84/1.00 do 0 intro. intros zenon_H144 zenon_H236 zenon_H11a zenon_H119 zenon_H118 zenon_H247 zenon_H21c zenon_H21b zenon_H21a zenon_H176 zenon_H175 zenon_H174 zenon_H23c zenon_H193 zenon_H195 zenon_H194 zenon_H2a0 zenon_H29f zenon_H29e. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H219 | zenon_intro zenon_H237 ]. % 0.84/1.00 apply (zenon_L188_); trivial. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H117 | zenon_intro zenon_H82 ]. % 0.84/1.00 apply (zenon_L64_); trivial. % 0.84/1.00 apply (zenon_L571_); trivial. % 0.84/1.00 (* end of lemma zenon_L572_ *) % 0.84/1.00 assert (zenon_L573_ : ((ndr1_0)/\((c0_1 (a236))/\((~(c2_1 (a236)))/\(~(c3_1 (a236)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> False). % 0.84/1.00 do 0 intro. intros zenon_H19c zenon_H148 zenon_H236 zenon_H29e zenon_H29f zenon_H2a0 zenon_H159 zenon_H5a zenon_H59 zenon_H23c zenon_H11a zenon_H119 zenon_H118 zenon_H21c zenon_H21b zenon_H21a zenon_H247 zenon_H176 zenon_H175 zenon_H174 zenon_H169. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Ha. zenon_intro zenon_H19d. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H195. zenon_intro zenon_H19e. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H193. zenon_intro zenon_H194. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H157 | zenon_intro zenon_H164 ]. % 0.84/1.00 apply (zenon_L557_); trivial. % 0.84/1.00 apply (zenon_L227_); trivial. % 0.84/1.00 apply (zenon_L572_); trivial. % 0.84/1.00 (* end of lemma zenon_L573_ *) % 0.84/1.00 assert (zenon_L574_ : ((ndr1_0)/\((c1_1 (a220))/\((c2_1 (a220))/\(~(c3_1 (a220)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a236))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp15))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c1_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a242))/\((~(c0_1 (a242)))/\(~(c2_1 (a242))))))) -> False). % 0.84/1.00 do 0 intro. intros zenon_H16a zenon_H66 zenon_H1de zenon_H29e zenon_H29f zenon_H2a0 zenon_H23c zenon_H148 zenon_H1c7 zenon_H159 zenon_H247 zenon_H176 zenon_H175 zenon_H174 zenon_H169 zenon_H1bc zenon_H1df zenon_H236 zenon_H121 zenon_H11a zenon_H119 zenon_H118 zenon_H21c zenon_H21b zenon_H21a zenon_Hb0 zenon_H123. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Ha. zenon_intro zenon_H16b. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H101. zenon_intro zenon_H16c. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H102. zenon_intro zenon_H100. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.00 apply (zenon_L203_); trivial. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H64. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H59. zenon_intro zenon_H65. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H16f | zenon_intro zenon_H19c ]. % 0.84/1.00 apply (zenon_L478_); trivial. % 0.84/1.00 apply (zenon_L573_); trivial. % 0.84/1.00 (* end of lemma zenon_L574_ *) % 0.84/1.00 assert (zenon_L575_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((hskp3)\/(hskp13))) -> (~(hskp14)) -> (ndr1_0) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp14))) -> (~(hskp3)) -> (~(hskp13)) -> False). % 0.84/1.00 do 0 intro. intros zenon_H2be zenon_H273 zenon_Ha zenon_H100 zenon_H101 zenon_H24b zenon_H24c zenon_H24d zenon_H275 zenon_H1b zenon_H1fb. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H2bf ]. % 0.84/1.00 apply (zenon_L385_); trivial. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H1c | zenon_intro zenon_H1fc ]. % 0.84/1.00 exact (zenon_H1b zenon_H1c). % 0.84/1.00 exact (zenon_H1fb zenon_H1fc). % 0.84/1.00 (* end of lemma zenon_L575_ *) % 0.84/1.00 assert (zenon_L576_ : ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (c3_1 (a248)) -> (c1_1 (a248)) -> (~(c2_1 (a248))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> (~(c1_1 (a245))) -> (~(c3_1 (a245))) -> (c0_1 (a245)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a241)) -> (~(c0_1 (a241))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2)))))) -> (~(c1_1 (a241))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.84/1.00 do 0 intro. intros zenon_Hb1 zenon_H4f zenon_H33 zenon_H31 zenon_H29e zenon_H29f zenon_H2a0 zenon_H41 zenon_H42 zenon_H43 zenon_H25c zenon_H279 zenon_H278 zenon_He6 zenon_H277 zenon_Ha zenon_Had. % 0.84/1.00 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H57 | zenon_intro zenon_Hb5 ]. % 0.84/1.00 apply (zenon_L550_); trivial. % 0.84/1.00 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H8c | zenon_intro zenon_Hae ]. % 0.84/1.00 apply (zenon_L296_); trivial. % 0.84/1.00 exact (zenon_Had zenon_Hae). % 0.84/1.00 (* end of lemma zenon_L576_ *) % 0.84/1.00 assert (zenon_L577_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (~(hskp9)) -> (~(c1_1 (a241))) -> (~(c0_1 (a241))) -> (c3_1 (a241)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c0_1 (a245)) -> (~(c3_1 (a245))) -> (~(c1_1 (a245))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (~(c2_1 (a248))) -> (c1_1 (a248)) -> (c3_1 (a248)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (ndr1_0) -> (~(hskp26)) -> False). % 0.84/1.00 do 0 intro. intros zenon_H149 zenon_Had zenon_H277 zenon_H278 zenon_H279 zenon_H25c zenon_H43 zenon_H42 zenon_H41 zenon_H2a0 zenon_H29f zenon_H29e zenon_H31 zenon_H33 zenon_H4f zenon_Hb1 zenon_H102 zenon_H101 zenon_H100 zenon_Ha zenon_H132. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ]. % 0.84/1.00 apply (zenon_L576_); trivial. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hff | zenon_intro zenon_H133 ]. % 0.84/1.00 apply (zenon_L55_); trivial. % 0.84/1.00 exact (zenon_H132 zenon_H133). % 0.84/1.00 (* end of lemma zenon_L577_ *) % 0.84/1.00 assert (zenon_L578_ : ((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a241)) -> (~(c0_1 (a241))) -> (~(c1_1 (a241))) -> (~(c1_1 (a245))) -> (~(c3_1 (a245))) -> (c0_1 (a245)) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> False). % 0.84/1.00 do 0 intro. intros zenon_H4a zenon_H148 zenon_H145 zenon_H10a zenon_H13e zenon_H140 zenon_Hb1 zenon_Had zenon_H279 zenon_H278 zenon_H277 zenon_H41 zenon_H42 zenon_H43 zenon_H29e zenon_H29f zenon_H2a0 zenon_H25c zenon_H100 zenon_H101 zenon_H102 zenon_H149. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.84/1.00 apply (zenon_L577_); trivial. % 0.84/1.00 apply (zenon_L78_); trivial. % 0.84/1.00 (* end of lemma zenon_L578_ *) % 0.84/1.00 assert (zenon_L579_ : ((ndr1_0)/\((c3_1 (a241))/\((~(c0_1 (a241)))/\(~(c1_1 (a241)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(hskp10)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> (~(hskp3)) -> ((hskp3)\/(hskp16)) -> False). % 0.84/1.00 do 0 intro. intros zenon_H28a zenon_H52 zenon_H53 zenon_H148 zenon_H13e zenon_H140 zenon_Hb1 zenon_Had zenon_H29e zenon_H29f zenon_H2a0 zenon_H25c zenon_H149 zenon_H145 zenon_H10a zenon_H102 zenon_H101 zenon_H100 zenon_H1a1 zenon_H24b zenon_H24c zenon_H24d zenon_H2a zenon_H233 zenon_H1df zenon_H1b zenon_H1f. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_Ha. zenon_intro zenon_H28b. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H279. zenon_intro zenon_H28c. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H278. zenon_intro zenon_H277. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/1.00 apply (zenon_L12_); trivial. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.00 apply (zenon_L251_); trivial. % 0.84/1.00 apply (zenon_L578_); trivial. % 0.84/1.00 (* end of lemma zenon_L579_ *) % 0.84/1.00 assert (zenon_L580_ : ((~(hskp14))\/((ndr1_0)/\((c3_1 (a241))/\((~(c0_1 (a241)))/\(~(c1_1 (a241))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a220)) -> ((hskp18)\/((hskp27)\/(hskp17))) -> (~(hskp10)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((hskp3)\/(hskp16)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp14))) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp13)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((hskp3)\/(hskp13))) -> False). % 0.84/1.00 do 0 intro. intros zenon_H28e zenon_H52 zenon_H53 zenon_H148 zenon_H13e zenon_H140 zenon_Hb1 zenon_Had zenon_H29e zenon_H29f zenon_H2a0 zenon_H25c zenon_H149 zenon_H145 zenon_H10a zenon_H102 zenon_H1a1 zenon_H2a zenon_H233 zenon_H1df zenon_H1f zenon_H275 zenon_H101 zenon_H100 zenon_H24d zenon_H24c zenon_H24b zenon_Ha zenon_H1b zenon_H1fb zenon_H2be. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H273 | zenon_intro zenon_H28a ]. % 0.84/1.00 apply (zenon_L575_); trivial. % 0.84/1.00 apply (zenon_L579_); trivial. % 0.84/1.00 (* end of lemma zenon_L580_ *) % 0.84/1.00 assert (zenon_L581_ : ((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> (~(c1_1 (a245))) -> (~(c3_1 (a245))) -> (c0_1 (a245)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a239)) -> (c2_1 (a239)) -> (~(c1_1 (a239))) -> (~(hskp9)) -> False). % 0.84/1.00 do 0 intro. intros zenon_H4a zenon_Hb1 zenon_H29e zenon_H29f zenon_H2a0 zenon_H41 zenon_H42 zenon_H43 zenon_H25c zenon_H201 zenon_H200 zenon_H1ff zenon_Had. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.84/1.00 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H57 | zenon_intro zenon_Hb5 ]. % 0.84/1.00 apply (zenon_L550_); trivial. % 0.84/1.00 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H8c | zenon_intro zenon_Hae ]. % 0.84/1.00 apply (zenon_L175_); trivial. % 0.84/1.00 exact (zenon_Had zenon_Hae). % 0.84/1.00 (* end of lemma zenon_L581_ *) % 0.84/1.00 assert (zenon_L582_ : ((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a239)) -> (c2_1 (a239)) -> (~(c1_1 (a239))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(hskp10)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> False). % 0.84/1.00 do 0 intro. intros zenon_H54 zenon_H53 zenon_Hb1 zenon_Had zenon_H201 zenon_H200 zenon_H1ff zenon_H29e zenon_H29f zenon_H2a0 zenon_H25c zenon_H145 zenon_H10a zenon_H102 zenon_H101 zenon_H100 zenon_H1a1 zenon_H24b zenon_H24c zenon_H24d zenon_H2a zenon_H233 zenon_H1df. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.00 apply (zenon_L251_); trivial. % 0.84/1.00 apply (zenon_L581_); trivial. % 0.84/1.00 (* end of lemma zenon_L582_ *) % 0.84/1.00 assert (zenon_L583_ : ((ndr1_0)/\((c3_1 (a241))/\((~(c0_1 (a241)))/\(~(c1_1 (a241)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (~(c0_1 (a231))) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (~(hskp3)) -> ((hskp3)\/(hskp16)) -> False). % 0.84/1.00 do 0 intro. intros zenon_H28a zenon_H52 zenon_H148 zenon_H145 zenon_H10a zenon_H13e zenon_H140 zenon_Hb1 zenon_Had zenon_H5a zenon_H59 zenon_H58 zenon_H100 zenon_H101 zenon_H102 zenon_H149 zenon_H1b zenon_H1f. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_Ha. zenon_intro zenon_H28b. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H279. zenon_intro zenon_H28c. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H278. zenon_intro zenon_H277. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/1.00 apply (zenon_L12_); trivial. % 0.84/1.00 apply (zenon_L388_); trivial. % 0.84/1.00 (* end of lemma zenon_L583_ *) % 0.84/1.00 assert (zenon_L584_ : ((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a239))/\((c3_1 (a239))/\(~(c1_1 (a239))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((hskp3)\/(hskp13))) -> (~(hskp3)) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp14))) -> ((hskp3)\/(hskp16)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (c2_1 (a220)) -> (~(hskp9)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a241))/\((~(c0_1 (a241)))/\(~(c1_1 (a241))))))) -> False). % 0.84/1.00 do 0 intro. intros zenon_H63 zenon_H28d zenon_H2be zenon_H1b zenon_H24b zenon_H24c zenon_H24d zenon_H100 zenon_H101 zenon_H275 zenon_H1f zenon_H149 zenon_H102 zenon_Had zenon_Hb1 zenon_H140 zenon_H13e zenon_H10a zenon_H145 zenon_H148 zenon_H52 zenon_H28e. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H64. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H59. zenon_intro zenon_H65. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H273 | zenon_intro zenon_H28a ]. % 0.84/1.00 apply (zenon_L575_); trivial. % 0.84/1.00 apply (zenon_L583_); trivial. % 0.84/1.00 apply (zenon_L176_); trivial. % 0.84/1.00 (* end of lemma zenon_L584_ *) % 0.84/1.00 assert (zenon_L585_ : ((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (c0_1 (a226)) -> (~(c2_1 (a226))) -> (~(c1_1 (a226))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(hskp10)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> False). % 0.84/1.00 do 0 intro. intros zenon_H54 zenon_H53 zenon_H23c zenon_H2a0 zenon_H29f zenon_H29e zenon_Hf3 zenon_Hf2 zenon_Hf1 zenon_H145 zenon_H10a zenon_H102 zenon_H101 zenon_H100 zenon_H1a1 zenon_H24b zenon_H24c zenon_H24d zenon_H2a zenon_H233 zenon_H1df. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.00 apply (zenon_L251_); trivial. % 0.84/1.00 apply (zenon_L527_); trivial. % 0.84/1.00 (* end of lemma zenon_L585_ *) % 0.84/1.00 assert (zenon_L586_ : ((ndr1_0)/\((c0_1 (a226))/\((~(c1_1 (a226)))/\(~(c2_1 (a226)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((hskp3)\/(hskp16)) -> (~(hskp3)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> False). % 0.84/1.00 do 0 intro. intros zenon_Hfa zenon_H66 zenon_H148 zenon_H159 zenon_Hab zenon_H169 zenon_H1f zenon_H1b zenon_H1df zenon_H233 zenon_H24d zenon_H24c zenon_H24b zenon_H1a1 zenon_H100 zenon_H101 zenon_H102 zenon_H10a zenon_H145 zenon_H29e zenon_H29f zenon_H2a0 zenon_H23c zenon_H53 zenon_H52. % 0.84/1.00 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.84/1.00 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf3. zenon_intro zenon_Hfd. % 0.84/1.00 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/1.00 apply (zenon_L12_); trivial. % 0.84/1.00 apply (zenon_L585_); trivial. % 0.84/1.00 apply (zenon_L541_); trivial. % 0.84/1.00 (* end of lemma zenon_L586_ *) % 0.84/1.00 assert (zenon_L587_ : ((ndr1_0)/\((c1_1 (a220))/\((c2_1 (a220))/\(~(c3_1 (a220)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a226))/\((~(c1_1 (a226)))/\(~(c2_1 (a226))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a239))/\((c3_1 (a239))/\(~(c1_1 (a239))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((hskp3)\/(hskp13))) -> (~(hskp3)) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp14))) -> ((hskp3)\/(hskp16)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a241))/\((~(c0_1 (a241)))/\(~(c1_1 (a241))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231))))))) -> False). % 0.84/1.00 do 0 intro. intros zenon_H16a zenon_H29b zenon_H159 zenon_Hab zenon_H169 zenon_H23c zenon_H28d zenon_H2be zenon_H1b zenon_H24b zenon_H24c zenon_H24d zenon_H275 zenon_H1f zenon_H1df zenon_H233 zenon_H1a1 zenon_H10a zenon_H145 zenon_H149 zenon_H25c zenon_H2a0 zenon_H29f zenon_H29e zenon_Hb1 zenon_H140 zenon_H13e zenon_H148 zenon_H53 zenon_H52 zenon_H28e zenon_H66. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Ha. zenon_intro zenon_H16b. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H101. zenon_intro zenon_H16c. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H102. zenon_intro zenon_H100. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.84/1.00 apply (zenon_L580_); trivial. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_Ha. zenon_intro zenon_H209. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H200. zenon_intro zenon_H20a. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H20a). zenon_intro zenon_H201. zenon_intro zenon_H1ff. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/1.00 apply (zenon_L12_); trivial. % 0.84/1.00 apply (zenon_L582_); trivial. % 0.84/1.00 apply (zenon_L584_); trivial. % 0.84/1.00 apply (zenon_L586_); trivial. % 0.84/1.00 (* end of lemma zenon_L587_ *) % 0.84/1.00 assert (zenon_L588_ : ((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> ((forall X95 : zenon_U, ((ndr1_0)->((c3_1 X95)\/((~(c0_1 X95))\/(~(c2_1 X95))))))\/((hskp7)\/(hskp6))) -> (~(hskp6)) -> (~(hskp7)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((hskp26)\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((hskp12)\/((hskp16)\/(hskp13))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a239))/\((c3_1 (a239))/\(~(c1_1 (a239))))))) -> False). % 0.84/1.00 do 0 intro. intros zenon_H63 zenon_H116 zenon_H19 zenon_H17 zenon_H15 zenon_H52 zenon_H148 zenon_H2ba zenon_H29e zenon_H29f zenon_H2a0 zenon_H288 zenon_Had zenon_H176 zenon_H175 zenon_H174 zenon_H25c zenon_H1fd zenon_Hb1 zenon_H28d. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H64. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H59. zenon_intro zenon_H65. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.00 apply (zenon_L534_); trivial. % 0.84/1.00 apply (zenon_L62_); trivial. % 0.84/1.00 (* end of lemma zenon_L588_ *) % 0.84/1.00 assert (zenon_L589_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(c3_1 (a237))) -> (c0_1 (a237)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp26)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (~(hskp18)) -> (~(hskp17)) -> ((hskp18)\/((hskp27)\/(hskp17))) -> False). % 0.84/1.00 do 0 intro. intros zenon_H145 zenon_H169 zenon_H25c zenon_H2ba zenon_H2a0 zenon_H29f zenon_H29e zenon_H174 zenon_H175 zenon_H176 zenon_Hc zenon_Hd zenon_H94 zenon_H132 zenon_H159 zenon_H19f zenon_H2c zenon_H1a1. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.84/1.00 apply (zenon_L106_); trivial. % 0.84/1.00 apply (zenon_L518_); trivial. % 0.84/1.00 (* end of lemma zenon_L589_ *) % 0.84/1.00 assert (zenon_L590_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> (~(hskp17)) -> (~(hskp18)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c0_1 (a237)) -> (~(c3_1 (a237))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> False). % 0.84/1.00 do 0 intro. intros zenon_H148 zenon_H13e zenon_H140 zenon_H1a1 zenon_H2c zenon_H19f zenon_H159 zenon_H94 zenon_Hd zenon_Hc zenon_H176 zenon_H175 zenon_H174 zenon_H29e zenon_H29f zenon_H2a0 zenon_H2ba zenon_H25c zenon_H169 zenon_H145. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.84/1.00 apply (zenon_L589_); trivial. % 0.84/1.00 apply (zenon_L521_); trivial. % 0.84/1.00 (* end of lemma zenon_L590_ *) % 0.84/1.00 assert (zenon_L591_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(c3_1 (a237))) -> (c0_1 (a237)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (~(hskp17)) -> ((hskp18)\/((hskp27)\/(hskp17))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> False). % 0.84/1.00 do 0 intro. intros zenon_H1df zenon_H233 zenon_H2a zenon_H24d zenon_H24c zenon_H24b zenon_H145 zenon_H169 zenon_H25c zenon_H2ba zenon_H2a0 zenon_H29f zenon_H29e zenon_H174 zenon_H175 zenon_H176 zenon_Hc zenon_Hd zenon_H94 zenon_H159 zenon_H2c zenon_H1a1 zenon_H140 zenon_H13e zenon_H148. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.84/1.00 apply (zenon_L590_); trivial. % 0.84/1.00 apply (zenon_L247_); trivial. % 0.84/1.00 (* end of lemma zenon_L591_ *) % 0.84/1.00 assert (zenon_L592_ : ((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (c0_1 (a226)) -> (~(c2_1 (a226))) -> (~(c1_1 (a226))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(hskp10)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> False). % 0.84/1.00 do 0 intro. intros zenon_H113 zenon_H53 zenon_H23c zenon_Hf3 zenon_Hf2 zenon_Hf1 zenon_H148 zenon_H13e zenon_H140 zenon_H1a1 zenon_H159 zenon_H94 zenon_H176 zenon_H175 zenon_H174 zenon_H29e zenon_H29f zenon_H2a0 zenon_H2ba zenon_H25c zenon_H169 zenon_H145 zenon_H24b zenon_H24c zenon_H24d zenon_H2a zenon_H233 zenon_H1df. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Ha. zenon_intro zenon_H114. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hd. zenon_intro zenon_H115. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.00 apply (zenon_L591_); trivial. % 0.84/1.00 apply (zenon_L527_); trivial. % 0.84/1.00 (* end of lemma zenon_L592_ *) % 0.84/1.00 assert (zenon_L593_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a239)) -> (c2_1 (a239)) -> (~(c1_1 (a239))) -> (forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41)))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57)))))) -> (ndr1_0) -> (c2_1 (a261)) -> (c3_1 (a261)) -> (c1_1 (a261)) -> False). % 0.84/1.00 do 0 intro. intros zenon_Hab zenon_H201 zenon_H200 zenon_H1ff zenon_H1b1 zenon_H2a0 zenon_H29f zenon_H29e zenon_H57 zenon_Ha zenon_H9d zenon_H9e zenon_H9f. % 0.84/1.00 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H78 | zenon_intro zenon_Hac ]. % 0.84/1.00 apply (zenon_L326_); trivial. % 0.84/1.00 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H88 | zenon_intro zenon_H9c ]. % 0.84/1.00 apply (zenon_L495_); trivial. % 0.84/1.00 apply (zenon_L41_); trivial. % 0.84/1.00 (* end of lemma zenon_L593_ *) % 0.84/1.00 assert (zenon_L594_ : ((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (~(hskp18)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a239)) -> (c2_1 (a239)) -> (~(c1_1 (a239))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (c0_1 (a234)) -> (c3_1 (a234)) -> (c1_1 (a234)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> (~(hskp10)) -> False). % 0.84/1.00 do 0 intro. intros zenon_Haf zenon_H233 zenon_H24d zenon_H24c zenon_H24b zenon_H19f zenon_Hab zenon_H201 zenon_H200 zenon_H1ff zenon_H2a0 zenon_H29f zenon_H29e zenon_H135 zenon_H137 zenon_H136 zenon_H1c7 zenon_H2a. % 0.84/1.00 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.84/1.00 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.84/1.00 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H22e | zenon_intro zenon_H235 ]. % 0.84/1.00 apply (zenon_L246_); trivial. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H2b ]. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H57 | zenon_intro zenon_H1c8 ]. % 0.84/1.00 apply (zenon_L593_); trivial. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1a0 ]. % 0.84/1.00 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H78 | zenon_intro zenon_Hac ]. % 0.84/1.00 apply (zenon_L326_); trivial. % 0.84/1.00 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H88 | zenon_intro zenon_H9c ]. % 0.84/1.00 apply (zenon_L495_); trivial. % 0.84/1.00 apply (zenon_L180_); trivial. % 0.84/1.00 exact (zenon_H19f zenon_H1a0). % 0.84/1.00 exact (zenon_H2a zenon_H2b). % 0.84/1.00 (* end of lemma zenon_L594_ *) % 0.84/1.00 assert (zenon_L595_ : ((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (c3_1 (a239)) -> (c2_1 (a239)) -> (~(c1_1 (a239))) -> (~(hskp18)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> False). % 0.84/1.00 do 0 intro. intros zenon_H144 zenon_H145 zenon_H233 zenon_H2a zenon_Hab zenon_H2a0 zenon_H29f zenon_H29e zenon_H201 zenon_H200 zenon_H1ff zenon_H19f zenon_H1c7 zenon_H24d zenon_H24c zenon_H24b zenon_H13e zenon_H140. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.84/1.00 apply (zenon_L75_); trivial. % 0.84/1.00 apply (zenon_L594_); trivial. % 0.84/1.00 (* end of lemma zenon_L595_ *) % 0.84/1.00 assert (zenon_L596_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (~(hskp18)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (c2_1 (a223)) -> (c1_1 (a223)) -> (~(c0_1 (a223))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((hskp20)\/((hskp23)\/(hskp4))) -> (~(hskp4)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a239)) -> (c2_1 (a239)) -> (~(c1_1 (a239))) -> (~(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> False). % 0.84/1.00 do 0 intro. intros zenon_H1c1 zenon_H148 zenon_H233 zenon_H2a zenon_Hab zenon_H2a0 zenon_H29f zenon_H29e zenon_H19f zenon_H1c7 zenon_H24d zenon_H24c zenon_H24b zenon_H217 zenon_H174 zenon_H175 zenon_H176 zenon_H13e zenon_H140 zenon_H23 zenon_H22 zenon_H21 zenon_H94 zenon_H145 zenon_H1a5 zenon_Hd3 zenon_H23a zenon_H1 zenon_H1bc zenon_H16f zenon_H201 zenon_H200 zenon_H1ff zenon_Had zenon_H1d4 zenon_H1c0. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H16d | zenon_intro zenon_H190 ]. % 0.84/1.00 apply (zenon_L329_); trivial. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_Ha. zenon_intro zenon_H191. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H188. zenon_intro zenon_H192. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H189. zenon_intro zenon_H187. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.84/1.00 apply (zenon_L355_); trivial. % 0.84/1.00 apply (zenon_L595_); trivial. % 0.84/1.00 (* end of lemma zenon_L596_ *) % 0.84/1.00 assert (zenon_L597_ : ((ndr1_0)/\((c2_1 (a239))/\((c3_1 (a239))/\(~(c1_1 (a239)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp11)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (~(hskp12)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(hskp4)) -> ((hskp20)\/((hskp23)\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a223))) -> (c1_1 (a223)) -> (c2_1 (a223)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp10)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257))))))) -> False). % 0.84/1.00 do 0 intro. intros zenon_H208 zenon_H1df zenon_H1c0 zenon_H1d4 zenon_Had zenon_H16f zenon_H1bc zenon_H1 zenon_H23a zenon_Hd3 zenon_H1a5 zenon_H145 zenon_H94 zenon_H21 zenon_H22 zenon_H23 zenon_H140 zenon_H13e zenon_H176 zenon_H175 zenon_H174 zenon_H217 zenon_H24b zenon_H24c zenon_H24d zenon_H1c7 zenon_H29e zenon_H29f zenon_H2a0 zenon_Hab zenon_H2a zenon_H233 zenon_H148 zenon_H1c1. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_Ha. zenon_intro zenon_H209. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H200. zenon_intro zenon_H20a. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H20a). zenon_intro zenon_H201. zenon_intro zenon_H1ff. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.84/1.00 apply (zenon_L596_); trivial. % 0.84/1.00 apply (zenon_L247_); trivial. % 0.84/1.00 (* end of lemma zenon_L597_ *) % 0.84/1.00 assert (zenon_L598_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a236))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a239))/\((c3_1 (a239))/\(~(c1_1 (a239))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a274))/\((~(c0_1 (a274)))/\(~(c3_1 (a274))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(hskp4)) -> ((hskp20)\/((hskp23)\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c0_1 (a223))) -> (c1_1 (a223)) -> (c2_1 (a223)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp10)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a257))/\((c1_1 (a257))/\(~(c3_1 (a257))))))) -> ((hskp12)\/((hskp16)\/(hskp13))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(hskp9)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((hskp26)\/(hskp9))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> False). % 0.84/1.00 do 0 intro. intros zenon_H1de zenon_H185 zenon_H10c zenon_H28d zenon_H1df zenon_H1c0 zenon_H1d4 zenon_H1bc zenon_H23a zenon_Hd3 zenon_H1a5 zenon_H145 zenon_H94 zenon_H21 zenon_H22 zenon_H23 zenon_H140 zenon_H13e zenon_H217 zenon_H24b zenon_H24c zenon_H24d zenon_H1c7 zenon_Hab zenon_H2a zenon_H233 zenon_H1c1 zenon_H1fd zenon_H25c zenon_H174 zenon_H175 zenon_H176 zenon_Had zenon_H288 zenon_H2a0 zenon_H29f zenon_H29e zenon_H2ba zenon_H148 zenon_H52 zenon_H169 zenon_H159 zenon_H116. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H16f | zenon_intro zenon_H19c ]. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.84/1.00 apply (zenon_L533_); trivial. % 0.84/1.00 apply (zenon_L597_); trivial. % 0.84/1.00 apply (zenon_L522_); trivial. % 0.84/1.00 apply (zenon_L103_); trivial. % 0.84/1.00 (* end of lemma zenon_L598_ *) % 0.84/1.00 assert (zenon_L599_ : ((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a241)) -> (~(c0_1 (a241))) -> (~(c1_1 (a241))) -> (~(c1_1 (a245))) -> (~(c3_1 (a245))) -> (c0_1 (a245)) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> False). % 0.84/1.00 do 0 intro. intros zenon_H4a zenon_H148 zenon_H174 zenon_H175 zenon_H176 zenon_H2ba zenon_Hb1 zenon_Had zenon_H279 zenon_H278 zenon_H277 zenon_H41 zenon_H42 zenon_H43 zenon_H29e zenon_H29f zenon_H2a0 zenon_H25c zenon_H100 zenon_H101 zenon_H102 zenon_H149. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.84/1.00 apply (zenon_L577_); trivial. % 0.84/1.00 apply (zenon_L525_); trivial. % 0.84/1.00 (* end of lemma zenon_L599_ *) % 0.84/1.00 assert (zenon_L600_ : ((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a241)) -> (~(c0_1 (a241))) -> (~(c1_1 (a241))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(hskp10)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> False). % 0.84/1.00 do 0 intro. intros zenon_H54 zenon_H53 zenon_H148 zenon_H174 zenon_H175 zenon_H176 zenon_H2ba zenon_Hb1 zenon_Had zenon_H279 zenon_H278 zenon_H277 zenon_H29e zenon_H29f zenon_H2a0 zenon_H25c zenon_H149 zenon_H145 zenon_H10a zenon_H102 zenon_H101 zenon_H100 zenon_H1a1 zenon_H24b zenon_H24c zenon_H24d zenon_H2a zenon_H233 zenon_H1df. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.00 apply (zenon_L251_); trivial. % 0.84/1.00 apply (zenon_L599_); trivial. % 0.84/1.00 (* end of lemma zenon_L600_ *) % 0.84/1.00 assert (zenon_L601_ : ((~(hskp14))\/((ndr1_0)/\((c3_1 (a241))/\((~(c0_1 (a241)))/\(~(c1_1 (a241))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> (~(hskp10)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> (~(hskp13)) -> ((hskp12)\/((hskp16)\/(hskp13))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp14))) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (ndr1_0) -> (c2_1 (a220)) -> (~(hskp12)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> False). % 0.84/1.00 do 0 intro. intros zenon_H28e zenon_H52 zenon_H53 zenon_H148 zenon_H174 zenon_H175 zenon_H176 zenon_H2ba zenon_Hb1 zenon_Had zenon_H29e zenon_H29f zenon_H2a0 zenon_H25c zenon_H149 zenon_H145 zenon_H10a zenon_H1a1 zenon_H2a zenon_H233 zenon_H1df zenon_H1fb zenon_H1fd zenon_H275 zenon_H101 zenon_H100 zenon_H24d zenon_H24c zenon_H24b zenon_Ha zenon_H102 zenon_H1 zenon_H23a. % 0.84/1.00 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H273 | zenon_intro zenon_H28a ]. % 0.84/1.00 apply (zenon_L386_); trivial. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_Ha. zenon_intro zenon_H28b. % 0.84/1.00 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H279. zenon_intro zenon_H28c. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H278. zenon_intro zenon_H277. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/1.01 apply (zenon_L171_); trivial. % 0.84/1.01 apply (zenon_L600_); trivial. % 0.84/1.01 (* end of lemma zenon_L601_ *) % 0.84/1.01 assert (zenon_L602_ : ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp2)) -> (~(hskp27)) -> (c1_1 (a248)) -> (c3_1 (a248)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (c3_1 (a241)) -> (~(c0_1 (a241))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2)))))) -> (~(c1_1 (a241))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.84/1.01 do 0 intro. intros zenon_Hb1 zenon_H13e zenon_H74 zenon_H33 zenon_H4f zenon_H140 zenon_H279 zenon_H278 zenon_He6 zenon_H277 zenon_Ha zenon_Had. % 0.84/1.01 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H57 | zenon_intro zenon_Hb5 ]. % 0.84/1.01 apply (zenon_L122_); trivial. % 0.84/1.01 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H8c | zenon_intro zenon_Hae ]. % 0.84/1.01 apply (zenon_L296_); trivial. % 0.84/1.01 exact (zenon_Had zenon_Hae). % 0.84/1.01 (* end of lemma zenon_L602_ *) % 0.84/1.01 assert (zenon_L603_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (~(hskp9)) -> (~(c1_1 (a241))) -> (~(c0_1 (a241))) -> (c3_1 (a241)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (c3_1 (a248)) -> (c1_1 (a248)) -> (~(hskp27)) -> (~(hskp2)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (ndr1_0) -> (~(hskp26)) -> False). % 0.84/1.01 do 0 intro. intros zenon_H149 zenon_Had zenon_H277 zenon_H278 zenon_H279 zenon_H140 zenon_H4f zenon_H33 zenon_H74 zenon_H13e zenon_Hb1 zenon_H102 zenon_H101 zenon_H100 zenon_Ha zenon_H132. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ]. % 0.84/1.01 apply (zenon_L602_); trivial. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hff | zenon_intro zenon_H133 ]. % 0.84/1.01 apply (zenon_L55_); trivial. % 0.84/1.01 exact (zenon_H132 zenon_H133). % 0.84/1.01 (* end of lemma zenon_L603_ *) % 0.84/1.01 assert (zenon_L604_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a257)) -> (c0_1 (a257)) -> (~(c3_1 (a257))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a241)) -> (~(c0_1 (a241))) -> (~(c1_1 (a241))) -> (ndr1_0) -> (c1_1 (a248)) -> (c3_1 (a248)) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> (~(hskp26)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> False). % 0.84/1.01 do 0 intro. intros zenon_H145 zenon_H94 zenon_H189 zenon_H188 zenon_H187 zenon_H176 zenon_H175 zenon_H174 zenon_Hb1 zenon_Had zenon_H279 zenon_H278 zenon_H277 zenon_Ha zenon_H33 zenon_H4f zenon_H13e zenon_H140 zenon_H100 zenon_H101 zenon_H102 zenon_H132 zenon_H149. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.84/1.01 apply (zenon_L603_); trivial. % 0.84/1.01 apply (zenon_L100_); trivial. % 0.84/1.01 (* end of lemma zenon_L604_ *) % 0.84/1.01 assert (zenon_L605_ : ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp14))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (ndr1_0) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> (~(c3_1 (a237))) -> (c0_1 (a237)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(hskp14)) -> False). % 0.84/1.01 do 0 intro. intros zenon_H275 zenon_H24d zenon_H24c zenon_H24b zenon_H176 zenon_H175 zenon_H174 zenon_Ha zenon_H29e zenon_H29f zenon_H2a0 zenon_Hc zenon_Hd zenon_H25c zenon_H273. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H22e | zenon_intro zenon_H276 ]. % 0.84/1.01 apply (zenon_L246_); trivial. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H82 | zenon_intro zenon_H274 ]. % 0.84/1.01 apply (zenon_L566_); trivial. % 0.84/1.01 exact (zenon_H273 zenon_H274). % 0.84/1.01 (* end of lemma zenon_L605_ *) % 0.84/1.01 assert (zenon_L606_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(c3_1 (a237))) -> (c0_1 (a237)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a241)) -> (~(c0_1 (a241))) -> (~(c1_1 (a241))) -> (ndr1_0) -> (c1_1 (a248)) -> (c3_1 (a248)) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> (~(hskp26)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> False). % 0.84/1.01 do 0 intro. intros zenon_H145 zenon_H169 zenon_H25c zenon_H2ba zenon_H2a0 zenon_H29f zenon_H29e zenon_H174 zenon_H175 zenon_H176 zenon_Hc zenon_Hd zenon_H94 zenon_H159 zenon_Hb1 zenon_Had zenon_H279 zenon_H278 zenon_H277 zenon_Ha zenon_H33 zenon_H4f zenon_H13e zenon_H140 zenon_H100 zenon_H101 zenon_H102 zenon_H132 zenon_H149. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.84/1.01 apply (zenon_L603_); trivial. % 0.84/1.01 apply (zenon_L518_); trivial. % 0.84/1.01 (* end of lemma zenon_L606_ *) % 0.84/1.01 assert (zenon_L607_ : ((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a241)) -> (~(c0_1 (a241))) -> (~(c1_1 (a241))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (~(c0_1 (a231))) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> False). % 0.84/1.01 do 0 intro. intros zenon_H54 zenon_H148 zenon_H25c zenon_H174 zenon_H175 zenon_H176 zenon_H2ba zenon_H2a0 zenon_H29f zenon_H29e zenon_Hb1 zenon_Had zenon_H279 zenon_H278 zenon_H277 zenon_H5a zenon_H59 zenon_H58 zenon_H100 zenon_H101 zenon_H102 zenon_H149. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.84/1.01 apply (zenon_L387_); trivial. % 0.84/1.01 apply (zenon_L525_); trivial. % 0.84/1.01 (* end of lemma zenon_L607_ *) % 0.84/1.01 assert (zenon_L608_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a239))/\((c3_1 (a239))/\(~(c1_1 (a239))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a220)) -> (ndr1_0) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp14))) -> ((hskp12)\/((hskp16)\/(hskp13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (~(c0_1 (a231))) -> (c1_1 (a231)) -> (c3_1 (a231)) -> (~(hskp9)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a241))/\((~(c0_1 (a241)))/\(~(c1_1 (a241))))))) -> False). % 0.84/1.01 do 0 intro. intros zenon_H28d zenon_H23a zenon_H1 zenon_H102 zenon_Ha zenon_H24b zenon_H24c zenon_H24d zenon_H100 zenon_H101 zenon_H275 zenon_H1fd zenon_H149 zenon_H58 zenon_H59 zenon_H5a zenon_Had zenon_Hb1 zenon_H29e zenon_H29f zenon_H2a0 zenon_H2ba zenon_H176 zenon_H175 zenon_H174 zenon_H25c zenon_H148 zenon_H52 zenon_H28e. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H273 | zenon_intro zenon_H28a ]. % 0.84/1.01 apply (zenon_L386_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_Ha. zenon_intro zenon_H28b. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H279. zenon_intro zenon_H28c. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H278. zenon_intro zenon_H277. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/1.01 apply (zenon_L171_); trivial. % 0.84/1.01 apply (zenon_L607_); trivial. % 0.84/1.01 apply (zenon_L176_); trivial. % 0.84/1.01 (* end of lemma zenon_L608_ *) % 0.84/1.01 assert (zenon_L609_ : ((ndr1_0)/\((c3_1 (a241))/\((~(c0_1 (a241)))/\(~(c1_1 (a241)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(c3_1 (a237))) -> (c0_1 (a237)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (~(c0_1 (a231))) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> False). % 0.84/1.01 do 0 intro. intros zenon_H28a zenon_H148 zenon_H145 zenon_H25c zenon_H2ba zenon_H2a0 zenon_H29f zenon_H29e zenon_H174 zenon_H175 zenon_H176 zenon_Hc zenon_Hd zenon_H94 zenon_H13e zenon_H140 zenon_Hb1 zenon_Had zenon_H5a zenon_H59 zenon_H58 zenon_H100 zenon_H101 zenon_H102 zenon_H149. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_Ha. zenon_intro zenon_H28b. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H279. zenon_intro zenon_H28c. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H278. zenon_intro zenon_H277. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.84/1.01 apply (zenon_L387_); trivial. % 0.84/1.01 apply (zenon_L521_); trivial. % 0.84/1.01 (* end of lemma zenon_L609_ *) % 0.84/1.01 assert (zenon_L610_ : ((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a241))/\((~(c0_1 (a241)))/\(~(c1_1 (a241))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> ((hskp12)\/((hskp16)\/(hskp13))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp14))) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (c2_1 (a220)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a239))/\((c3_1 (a239))/\(~(c1_1 (a239))))))) -> False). % 0.84/1.01 do 0 intro. intros zenon_H63 zenon_H116 zenon_H145 zenon_H94 zenon_H13e zenon_H140 zenon_H28e zenon_H52 zenon_H148 zenon_H25c zenon_H174 zenon_H175 zenon_H176 zenon_H2ba zenon_H2a0 zenon_H29f zenon_H29e zenon_Hb1 zenon_Had zenon_H149 zenon_H1fd zenon_H275 zenon_H101 zenon_H100 zenon_H24d zenon_H24c zenon_H24b zenon_H102 zenon_H23a zenon_H28d. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H64. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H59. zenon_intro zenon_H65. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.01 apply (zenon_L608_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Ha. zenon_intro zenon_H114. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hd. zenon_intro zenon_H115. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H273 | zenon_intro zenon_H28a ]. % 0.84/1.01 apply (zenon_L605_); trivial. % 0.84/1.01 apply (zenon_L609_); trivial. % 0.84/1.01 (* end of lemma zenon_L610_ *) % 0.84/1.01 assert (zenon_L611_ : ((ndr1_0)/\((c0_1 (a226))/\((~(c1_1 (a226)))/\(~(c2_1 (a226)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((hskp16)\/(hskp7))) -> (~(hskp7)) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> False). % 0.84/1.01 do 0 intro. intros zenon_Hfa zenon_H66 zenon_H148 zenon_H159 zenon_Hab zenon_H169 zenon_H53 zenon_H23c zenon_H2a0 zenon_H29f zenon_H29e zenon_H145 zenon_H1ea zenon_H15 zenon_H174 zenon_H175 zenon_H176 zenon_H100 zenon_H101 zenon_H102 zenon_H94 zenon_H1a1 zenon_H24b zenon_H24c zenon_H24d zenon_H233 zenon_H1df zenon_H10a zenon_H52. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf3. zenon_intro zenon_Hfd. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.01 apply (zenon_L370_); trivial. % 0.84/1.01 apply (zenon_L527_); trivial. % 0.84/1.01 apply (zenon_L585_); trivial. % 0.84/1.01 apply (zenon_L541_); trivial. % 0.84/1.01 (* end of lemma zenon_L611_ *) % 0.84/1.01 assert (zenon_L612_ : ((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a239)) -> (c2_1 (a239)) -> (~(c1_1 (a239))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp10))) -> (~(hskp10)) -> False). % 0.84/1.01 do 0 intro. intros zenon_Haf zenon_H233 zenon_H24d zenon_H24c zenon_H24b zenon_H118 zenon_H119 zenon_H11a zenon_Hab zenon_H201 zenon_H200 zenon_H1ff zenon_H2a0 zenon_H29f zenon_H29e zenon_H1f1 zenon_H2a. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H22e | zenon_intro zenon_H235 ]. % 0.84/1.01 apply (zenon_L246_); trivial. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H2b ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H57 | zenon_intro zenon_H1f2 ]. % 0.84/1.01 apply (zenon_L593_); trivial. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H117 | zenon_intro zenon_H2b ]. % 0.84/1.01 apply (zenon_L64_); trivial. % 0.84/1.01 exact (zenon_H2a zenon_H2b). % 0.84/1.01 exact (zenon_H2a zenon_H2b). % 0.84/1.01 (* end of lemma zenon_L612_ *) % 0.84/1.01 assert (zenon_L613_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> (~(hskp17)) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> (~(c1_1 (a239))) -> (c2_1 (a239)) -> (c3_1 (a239)) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> False). % 0.84/1.01 do 0 intro. intros zenon_H1df zenon_H1a1 zenon_H2c zenon_H24b zenon_H24c zenon_H24d zenon_H1f1 zenon_H2a zenon_H11a zenon_H119 zenon_H118 zenon_H1ff zenon_H200 zenon_H201 zenon_H29e zenon_H29f zenon_H2a0 zenon_Hab zenon_H233 zenon_H145. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.84/1.01 apply (zenon_L106_); trivial. % 0.84/1.01 apply (zenon_L612_); trivial. % 0.84/1.01 apply (zenon_L247_); trivial. % 0.84/1.01 (* end of lemma zenon_L613_ *) % 0.84/1.01 assert (zenon_L614_ : ((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (c0_1 (a226)) -> (~(c2_1 (a226))) -> (~(c1_1 (a226))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(hskp10)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> False). % 0.84/1.01 do 0 intro. intros zenon_H54 zenon_H53 zenon_H23c zenon_Hf3 zenon_Hf2 zenon_Hf1 zenon_H148 zenon_H1a1 zenon_H159 zenon_H29e zenon_H29f zenon_H2a0 zenon_H2ba zenon_H176 zenon_H175 zenon_H174 zenon_H25c zenon_H169 zenon_H145 zenon_H24b zenon_H24c zenon_H24d zenon_H2a zenon_H233 zenon_H1df. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.84/1.01 apply (zenon_L531_); trivial. % 0.84/1.01 apply (zenon_L247_); trivial. % 0.84/1.01 apply (zenon_L527_); trivial. % 0.84/1.01 (* end of lemma zenon_L614_ *) % 0.84/1.01 assert (zenon_L615_ : ((ndr1_0)/\((c2_1 (a239))/\((c3_1 (a239))/\(~(c1_1 (a239)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (c0_1 (a226)) -> (~(c2_1 (a226))) -> (~(c1_1 (a226))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> (~(hskp10)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp10))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> False). % 0.84/1.01 do 0 intro. intros zenon_H208 zenon_H53 zenon_H23c zenon_Hf3 zenon_Hf2 zenon_Hf1 zenon_H145 zenon_H233 zenon_Hab zenon_H2a0 zenon_H29f zenon_H29e zenon_H118 zenon_H119 zenon_H11a zenon_H2a zenon_H1f1 zenon_H24d zenon_H24c zenon_H24b zenon_H1a1 zenon_H1df. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_Ha. zenon_intro zenon_H209. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H200. zenon_intro zenon_H20a. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H20a). zenon_intro zenon_H201. zenon_intro zenon_H1ff. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.01 apply (zenon_L613_); trivial. % 0.84/1.01 apply (zenon_L527_); trivial. % 0.84/1.01 (* end of lemma zenon_L615_ *) % 0.84/1.01 assert (zenon_L616_ : ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/((hskp15)\/(hskp24))) -> (c3_1 (a241)) -> (~(c0_1 (a241))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2)))))) -> (~(c1_1 (a241))) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp24)) -> False). % 0.84/1.01 do 0 intro. intros zenon_H9a zenon_H279 zenon_H278 zenon_He6 zenon_H277 zenon_Ha zenon_H96 zenon_H98. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H8c | zenon_intro zenon_H9b ]. % 0.84/1.01 apply (zenon_L296_); trivial. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H97 | zenon_intro zenon_H99 ]. % 0.84/1.01 exact (zenon_H96 zenon_H97). % 0.84/1.01 exact (zenon_H98 zenon_H99). % 0.84/1.01 (* end of lemma zenon_L616_ *) % 0.84/1.01 assert (zenon_L617_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (~(hskp24)) -> (~(hskp15)) -> (~(c1_1 (a241))) -> (~(c0_1 (a241))) -> (c3_1 (a241)) -> ((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/((hskp15)\/(hskp24))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (ndr1_0) -> (~(hskp26)) -> False). % 0.84/1.01 do 0 intro. intros zenon_H149 zenon_H98 zenon_H96 zenon_H277 zenon_H278 zenon_H279 zenon_H9a zenon_H102 zenon_H101 zenon_H100 zenon_Ha zenon_H132. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ]. % 0.84/1.01 apply (zenon_L616_); trivial. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hff | zenon_intro zenon_H133 ]. % 0.84/1.01 apply (zenon_L55_); trivial. % 0.84/1.01 exact (zenon_H132 zenon_H133). % 0.84/1.01 (* end of lemma zenon_L617_ *) % 0.84/1.01 assert (zenon_L618_ : ((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (c3_1 (a239)) -> (c2_1 (a239)) -> (~(c1_1 (a239))) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> (~(hskp10)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp10))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> False). % 0.84/1.01 do 0 intro. intros zenon_H144 zenon_H145 zenon_H233 zenon_Hab zenon_H2a0 zenon_H29f zenon_H29e zenon_H201 zenon_H200 zenon_H1ff zenon_H118 zenon_H119 zenon_H11a zenon_H2a zenon_H1f1 zenon_H24d zenon_H24c zenon_H24b zenon_H13e zenon_H140. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.84/1.01 apply (zenon_L75_); trivial. % 0.84/1.01 apply (zenon_L612_); trivial. % 0.84/1.01 (* end of lemma zenon_L618_ *) % 0.84/1.01 assert (zenon_L619_ : ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((hskp26)\/(hskp9))) -> (c1_1 (a280)) -> (~(c3_1 (a280))) -> (~(c2_1 (a280))) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp9)) -> False). % 0.84/1.01 do 0 intro. intros zenon_H288 zenon_Hb9 zenon_Hb8 zenon_Hb7 zenon_Ha zenon_H132 zenon_Had. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H289 ]. % 0.84/1.01 apply (zenon_L45_); trivial. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H133 | zenon_intro zenon_Hae ]. % 0.84/1.01 exact (zenon_H132 zenon_H133). % 0.84/1.01 exact (zenon_Had zenon_Hae). % 0.84/1.01 (* end of lemma zenon_L619_ *) % 0.84/1.01 assert (zenon_L620_ : ((ndr1_0)/\((c1_1 (a280))/\((~(c2_1 (a280)))/\(~(c3_1 (a280)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (c3_1 (a239)) -> (c2_1 (a239)) -> (~(c1_1 (a239))) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> (~(hskp10)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp10))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp9)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((hskp26)\/(hskp9))) -> False). % 0.84/1.01 do 0 intro. intros zenon_Hc0 zenon_H148 zenon_H145 zenon_H233 zenon_Hab zenon_H2a0 zenon_H29f zenon_H29e zenon_H201 zenon_H200 zenon_H1ff zenon_H118 zenon_H119 zenon_H11a zenon_H2a zenon_H1f1 zenon_H24d zenon_H24c zenon_H24b zenon_H13e zenon_H140 zenon_Had zenon_H288. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_Ha. zenon_intro zenon_Hc3. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Hb9. zenon_intro zenon_Hc4. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hb7. zenon_intro zenon_Hb8. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.84/1.01 apply (zenon_L619_); trivial. % 0.84/1.01 apply (zenon_L618_); trivial. % 0.84/1.01 (* end of lemma zenon_L620_ *) % 0.84/1.01 assert (zenon_L621_ : ((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c1_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp10))) -> (c1_1 (a242)) -> (~(c2_1 (a242))) -> (~(c0_1 (a242))) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp10)) -> False). % 0.84/1.01 do 0 intro. intros zenon_Haf zenon_Hb0 zenon_Hdc zenon_Hdb zenon_Hda zenon_H100 zenon_H101 zenon_H102 zenon_H174 zenon_H175 zenon_H176 zenon_H94 zenon_H2a. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.84/1.01 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_H32 | zenon_intro zenon_Hb4 ]. % 0.84/1.01 apply (zenon_L50_); trivial. % 0.84/1.01 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H20 | zenon_intro zenon_H2b ]. % 0.84/1.01 apply (zenon_L139_); trivial. % 0.84/1.01 exact (zenon_H2a zenon_H2b). % 0.84/1.01 (* end of lemma zenon_L621_ *) % 0.84/1.01 assert (zenon_L622_ : ((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c1_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp10))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a242)) -> (~(c2_1 (a242))) -> (~(c0_1 (a242))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> (~(hskp10)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp10))) -> False). % 0.84/1.01 do 0 intro. intros zenon_H4a zenon_H145 zenon_Hb0 zenon_H174 zenon_H175 zenon_H176 zenon_H100 zenon_H101 zenon_H102 zenon_H94 zenon_Hdc zenon_Hdb zenon_Hda zenon_H140 zenon_H13e zenon_H118 zenon_H119 zenon_H11a zenon_H2a zenon_H1f1. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.84/1.01 apply (zenon_L150_); trivial. % 0.84/1.01 apply (zenon_L621_); trivial. % 0.84/1.01 (* end of lemma zenon_L622_ *) % 0.84/1.01 assert (zenon_L623_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c1_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp10))) -> (c1_1 (a242)) -> (~(c2_1 (a242))) -> (~(c0_1 (a242))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((hskp16)\/(hskp7))) -> (~(hskp7)) -> (~(hskp16)) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(hskp10)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> False). % 0.84/1.01 do 0 intro. intros zenon_H53 zenon_Hb0 zenon_Hdc zenon_Hdb zenon_Hda zenon_H140 zenon_H13e zenon_H118 zenon_H119 zenon_H11a zenon_H1f1 zenon_H145 zenon_H1ea zenon_H15 zenon_H1d zenon_H174 zenon_H175 zenon_H176 zenon_H100 zenon_H101 zenon_H102 zenon_H94 zenon_H1a1 zenon_H24b zenon_H24c zenon_H24d zenon_H2a zenon_H233 zenon_H1df. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.01 apply (zenon_L370_); trivial. % 0.84/1.01 apply (zenon_L622_); trivial. % 0.84/1.01 (* end of lemma zenon_L623_ *) % 0.84/1.01 assert (zenon_L624_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> (~(c3_1 (a237))) -> (c0_1 (a237)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp26)) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (c3_1 (a248)) -> (c1_1 (a248)) -> (ndr1_0) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> (~(hskp10)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp10))) -> False). % 0.84/1.01 do 0 intro. intros zenon_H145 zenon_H169 zenon_H25c zenon_H2ba zenon_H2a0 zenon_H29f zenon_H29e zenon_H174 zenon_H175 zenon_H176 zenon_Hc zenon_Hd zenon_H94 zenon_H132 zenon_H159 zenon_H140 zenon_H13e zenon_H4f zenon_H33 zenon_Ha zenon_H118 zenon_H119 zenon_H11a zenon_H2a zenon_H1f1. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.84/1.01 apply (zenon_L150_); trivial. % 0.84/1.01 apply (zenon_L518_); trivial. % 0.84/1.01 (* end of lemma zenon_L624_ *) % 0.84/1.01 assert (zenon_L625_ : ((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> (~(c1_1 (a217))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> False). % 0.84/1.01 do 0 intro. intros zenon_H54 zenon_H148 zenon_H156 zenon_H13e zenon_H14f zenon_H14e zenon_H14d zenon_H159 zenon_H29e zenon_H29f zenon_H2a0 zenon_H2ba zenon_H176 zenon_H175 zenon_H174 zenon_H25c zenon_H169 zenon_H145. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.84/1.01 apply (zenon_L82_); trivial. % 0.84/1.01 apply (zenon_L530_); trivial. % 0.84/1.01 apply (zenon_L525_); trivial. % 0.84/1.01 (* end of lemma zenon_L625_ *) % 0.84/1.01 assert (zenon_L626_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> (~(c1_1 (a217))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> (~(hskp12)) -> (~(hskp13)) -> ((hskp12)\/((hskp16)\/(hskp13))) -> False). % 0.84/1.01 do 0 intro. intros zenon_H52 zenon_H148 zenon_H156 zenon_H13e zenon_H14f zenon_H14e zenon_H14d zenon_H159 zenon_H29e zenon_H29f zenon_H2a0 zenon_H2ba zenon_H176 zenon_H175 zenon_H174 zenon_H25c zenon_H169 zenon_H145 zenon_H1 zenon_H1fb zenon_H1fd. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/1.01 apply (zenon_L171_); trivial. % 0.84/1.01 apply (zenon_L625_); trivial. % 0.84/1.01 (* end of lemma zenon_L626_ *) % 0.84/1.01 assert (zenon_L627_ : ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(c1_1 (a217))) -> (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (ndr1_0) -> (c0_1 (a296)) -> (c2_1 (a296)) -> (c3_1 (a296)) -> False). % 0.84/1.01 do 0 intro. intros zenon_H25c zenon_H14e zenon_H14f zenon_H14d zenon_H1d0 zenon_H2a0 zenon_H29f zenon_H29e zenon_H2ba zenon_H176 zenon_H175 zenon_H174 zenon_Ha zenon_H15b zenon_H15c zenon_H15d. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H40 | zenon_intro zenon_H25d ]. % 0.84/1.01 apply (zenon_L253_); trivial. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H88 | zenon_intro zenon_H70 ]. % 0.84/1.01 apply (zenon_L495_); trivial. % 0.84/1.01 apply (zenon_L516_); trivial. % 0.84/1.01 (* end of lemma zenon_L627_ *) % 0.84/1.01 assert (zenon_L628_ : ((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (c3_1 (a239)) -> (c2_1 (a239)) -> (~(c1_1 (a239))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (~(hskp18)) -> (~(hskp17)) -> ((hskp18)\/((hskp27)\/(hskp17))) -> False). % 0.84/1.01 do 0 intro. intros zenon_H144 zenon_H145 zenon_H233 zenon_H2a zenon_Hab zenon_H2a0 zenon_H29f zenon_H29e zenon_H201 zenon_H200 zenon_H1ff zenon_H1c7 zenon_H24d zenon_H24c zenon_H24b zenon_H19f zenon_H2c zenon_H1a1. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.84/1.01 apply (zenon_L106_); trivial. % 0.84/1.01 apply (zenon_L594_); trivial. % 0.84/1.01 (* end of lemma zenon_L628_ *) % 0.84/1.01 assert (zenon_L629_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((hskp6)\/(hskp5))) -> (~(hskp5)) -> (~(hskp6)) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (ndr1_0) -> (~(c1_1 (a217))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(hskp2)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> (~(hskp17)) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> (~(c1_1 (a239))) -> (c2_1 (a239)) -> (c3_1 (a239)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(hskp10)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> False). % 0.84/1.01 do 0 intro. intros zenon_H1df zenon_H145 zenon_H169 zenon_H267 zenon_H10c zenon_H17 zenon_H29e zenon_H29f zenon_H2a0 zenon_H2ba zenon_H176 zenon_H175 zenon_H174 zenon_H25c zenon_H159 zenon_Ha zenon_H14d zenon_H14e zenon_H14f zenon_H13e zenon_H156 zenon_H1a1 zenon_H2c zenon_H24b zenon_H24c zenon_H24d zenon_H1c7 zenon_H1ff zenon_H200 zenon_H201 zenon_Hab zenon_H2a zenon_H233 zenon_H148. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.84/1.01 apply (zenon_L82_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H157 | zenon_intro zenon_H164 ]. % 0.84/1.01 apply (zenon_L84_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H164). zenon_intro zenon_Ha. zenon_intro zenon_H166. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H15b. zenon_intro zenon_H167. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H268 ]. % 0.84/1.01 apply (zenon_L627_); trivial. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H18 | zenon_intro zenon_H10d ]. % 0.84/1.01 exact (zenon_H17 zenon_H18). % 0.84/1.01 exact (zenon_H10c zenon_H10d). % 0.84/1.01 apply (zenon_L628_); trivial. % 0.84/1.01 apply (zenon_L247_); trivial. % 0.84/1.01 (* end of lemma zenon_L629_ *) % 0.84/1.01 assert (zenon_L630_ : ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (c3_1 (a248)) -> (c1_1 (a248)) -> (~(c2_1 (a248))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18))))) -> (~(c1_1 (a217))) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a239)) -> (c2_1 (a239)) -> (~(c1_1 (a239))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.84/1.01 do 0 intro. intros zenon_Hb1 zenon_H4f zenon_H33 zenon_H31 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1d0 zenon_H14d zenon_H14f zenon_H14e zenon_H25c zenon_H201 zenon_H200 zenon_H1ff zenon_Ha zenon_Had. % 0.84/1.01 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H57 | zenon_intro zenon_Hb5 ]. % 0.84/1.01 apply (zenon_L508_); trivial. % 0.84/1.01 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H8c | zenon_intro zenon_Hae ]. % 0.84/1.01 apply (zenon_L175_); trivial. % 0.84/1.01 exact (zenon_Had zenon_Hae). % 0.84/1.01 (* end of lemma zenon_L630_ *) % 0.84/1.01 assert (zenon_L631_ : ((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(c1_1 (a217))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp10)) -> (~(c1_1 (a239))) -> (c2_1 (a239)) -> (c3_1 (a239)) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> (~(hskp9)) -> False). % 0.84/1.01 do 0 intro. intros zenon_H4a zenon_H1d4 zenon_H25c zenon_H14e zenon_H14f zenon_H14d zenon_H2a0 zenon_H29f zenon_H29e zenon_Hb1 zenon_H2a zenon_H1ff zenon_H200 zenon_H201 zenon_H24b zenon_H24c zenon_H24d zenon_H233 zenon_Had. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1d5 ]. % 0.84/1.01 apply (zenon_L630_); trivial. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hae ]. % 0.84/1.01 apply (zenon_L420_); trivial. % 0.84/1.01 exact (zenon_Had zenon_Hae). % 0.84/1.01 (* end of lemma zenon_L631_ *) % 0.84/1.01 assert (zenon_L632_ : ((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> (~(c1_1 (a217))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((hskp12)\/((hskp16)\/(hskp13))) -> (~(hskp9)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a239))/\((c3_1 (a239))/\(~(c1_1 (a239))))))) -> False). % 0.84/1.01 do 0 intro. intros zenon_H63 zenon_H116 zenon_H94 zenon_H52 zenon_H148 zenon_H156 zenon_H13e zenon_H14f zenon_H14e zenon_H14d zenon_H159 zenon_H29e zenon_H29f zenon_H2a0 zenon_H2ba zenon_H176 zenon_H175 zenon_H174 zenon_H25c zenon_H169 zenon_H145 zenon_H1fd zenon_Had zenon_Hb1 zenon_H28d. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H64. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H59. zenon_intro zenon_H65. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.84/1.01 apply (zenon_L626_); trivial. % 0.84/1.01 apply (zenon_L176_); trivial. % 0.84/1.01 apply (zenon_L549_); trivial. % 0.84/1.01 (* end of lemma zenon_L632_ *) % 0.84/1.01 assert (zenon_L633_ : ((ndr1_0)/\((c3_1 (a241))/\((~(c0_1 (a241)))/\(~(c1_1 (a241)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(hskp10)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> (~(c1_1 (a217))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (~(hskp7)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((hskp16)\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> False). % 0.84/1.01 do 0 intro. intros zenon_H28a zenon_H52 zenon_H53 zenon_H148 zenon_H2ba zenon_Hb1 zenon_Had zenon_H29e zenon_H29f zenon_H2a0 zenon_H25c zenon_H149 zenon_H10a zenon_H1a1 zenon_H24b zenon_H24c zenon_H24d zenon_H2a zenon_H233 zenon_H1df zenon_H156 zenon_H13e zenon_H14f zenon_H14e zenon_H14d zenon_H94 zenon_H102 zenon_H101 zenon_H100 zenon_H176 zenon_H175 zenon_H174 zenon_H15 zenon_H1ea zenon_H145. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_Ha. zenon_intro zenon_H28b. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H279. zenon_intro zenon_H28c. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H278. zenon_intro zenon_H277. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/1.01 apply (zenon_L434_); trivial. % 0.84/1.01 apply (zenon_L600_); trivial. % 0.84/1.01 (* end of lemma zenon_L633_ *) % 0.84/1.01 assert (zenon_L634_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (c2_1 (a220)) -> (ndr1_0) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((hskp16)\/(hskp7))) -> (~(hskp7)) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a217))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(hskp2)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> ((hskp18)\/((hskp27)\/(hskp17))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (~(hskp9)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a241))/\((~(c0_1 (a241)))/\(~(c1_1 (a241))))))) -> False). % 0.84/1.01 do 0 intro. intros zenon_H116 zenon_H23a zenon_H102 zenon_Ha zenon_H24b zenon_H24c zenon_H24d zenon_H100 zenon_H101 zenon_H275 zenon_H145 zenon_H1ea zenon_H15 zenon_H174 zenon_H175 zenon_H176 zenon_H94 zenon_H14d zenon_H14e zenon_H14f zenon_H13e zenon_H156 zenon_H1df zenon_H233 zenon_H2a zenon_H1a1 zenon_H10a zenon_H149 zenon_H25c zenon_H2a0 zenon_H29f zenon_H29e zenon_Had zenon_Hb1 zenon_H2ba zenon_H148 zenon_H53 zenon_H52 zenon_H28e. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H273 | zenon_intro zenon_H28a ]. % 0.84/1.01 apply (zenon_L386_); trivial. % 0.84/1.01 apply (zenon_L633_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Ha. zenon_intro zenon_H114. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hd. zenon_intro zenon_H115. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H273 | zenon_intro zenon_H28a ]. % 0.84/1.01 apply (zenon_L605_); trivial. % 0.84/1.01 apply (zenon_L633_); trivial. % 0.84/1.01 (* end of lemma zenon_L634_ *) % 0.84/1.01 assert (zenon_L635_ : ((ndr1_0)/\((c3_1 (a241))/\((~(c0_1 (a241)))/\(~(c1_1 (a241)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a231)) -> (c1_1 (a231)) -> (~(c0_1 (a231))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> (~(c1_1 (a217))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (~(hskp7)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((hskp16)\/(hskp7))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> False). % 0.84/1.01 do 0 intro. intros zenon_H28a zenon_H52 zenon_H148 zenon_H25c zenon_H2ba zenon_H2a0 zenon_H29f zenon_H29e zenon_Hb1 zenon_Had zenon_H5a zenon_H59 zenon_H58 zenon_H149 zenon_H156 zenon_H13e zenon_H14f zenon_H14e zenon_H14d zenon_H94 zenon_H102 zenon_H101 zenon_H100 zenon_H176 zenon_H175 zenon_H174 zenon_H15 zenon_H1ea zenon_H145. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_Ha. zenon_intro zenon_H28b. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H279. zenon_intro zenon_H28c. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H278. zenon_intro zenon_H277. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/1.01 apply (zenon_L434_); trivial. % 0.84/1.01 apply (zenon_L607_); trivial. % 0.84/1.01 (* end of lemma zenon_L635_ *) % 0.84/1.01 assert (zenon_L636_ : ((~(hskp9))\/((ndr1_0)/\((c0_1 (a226))/\((~(c1_1 (a226)))/\(~(c2_1 (a226))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (c2_1 (a220)) -> (ndr1_0) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((hskp16)\/(hskp7))) -> (~(hskp7)) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a217))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(hskp2)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a241))/\((~(c0_1 (a241)))/\(~(c1_1 (a241))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231))))))) -> False). % 0.84/1.01 do 0 intro. intros zenon_H29b zenon_H159 zenon_Hab zenon_H169 zenon_H23c zenon_H116 zenon_H23a zenon_H102 zenon_Ha zenon_H24b zenon_H24c zenon_H24d zenon_H100 zenon_H101 zenon_H275 zenon_H145 zenon_H1ea zenon_H15 zenon_H174 zenon_H175 zenon_H176 zenon_H94 zenon_H14d zenon_H14e zenon_H14f zenon_H13e zenon_H156 zenon_H1df zenon_H233 zenon_H1a1 zenon_H10a zenon_H149 zenon_H25c zenon_H2a0 zenon_H29f zenon_H29e zenon_Hb1 zenon_H2ba zenon_H148 zenon_H53 zenon_H52 zenon_H28e zenon_H66. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.01 apply (zenon_L634_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H64. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H59. zenon_intro zenon_H65. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H273 | zenon_intro zenon_H28a ]. % 0.84/1.01 apply (zenon_L386_); trivial. % 0.84/1.01 apply (zenon_L635_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Ha. zenon_intro zenon_H114. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hd. zenon_intro zenon_H115. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H273 | zenon_intro zenon_H28a ]. % 0.84/1.01 apply (zenon_L605_); trivial. % 0.84/1.01 apply (zenon_L635_); trivial. % 0.84/1.01 apply (zenon_L611_); trivial. % 0.84/1.01 (* end of lemma zenon_L636_ *) % 0.84/1.01 assert (zenon_L637_ : ((ndr1_0)/\((c2_1 (a239))/\((c3_1 (a239))/\(~(c1_1 (a239)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(c1_1 (a217))) -> (~(hskp9)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (~(c0_1 (a223))) -> (c1_1 (a223)) -> (c2_1 (a223)) -> (~(hskp10)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((hskp10)\/(hskp17))) -> False). % 0.84/1.01 do 0 intro. intros zenon_H208 zenon_H53 zenon_H1d4 zenon_H24b zenon_H24c zenon_H24d zenon_H233 zenon_H25c zenon_H2a0 zenon_H29f zenon_H29e zenon_H14e zenon_H14f zenon_H14d zenon_Had zenon_Hb1 zenon_H21 zenon_H22 zenon_H23 zenon_H2a zenon_H2e. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_Ha. zenon_intro zenon_H209. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H200. zenon_intro zenon_H20a. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H20a). zenon_intro zenon_H201. zenon_intro zenon_H1ff. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.01 apply (zenon_L16_); trivial. % 0.84/1.01 apply (zenon_L631_); trivial. % 0.84/1.01 (* end of lemma zenon_L637_ *) % 0.84/1.01 assert (zenon_L638_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a245))/\((~(c1_1 (a245)))/\(~(c3_1 (a245))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> (~(c1_1 (a217))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> ((forall X62 : zenon_U, ((ndr1_0)->((c2_1 X62)\/((c3_1 X62)\/(~(c1_1 X62))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((hskp12)\/((hskp16)\/(hskp13))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((hskp10)\/(hskp17))) -> (~(hskp10)) -> (c2_1 (a223)) -> (c1_1 (a223)) -> (~(c0_1 (a223))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a239))/\((c3_1 (a239))/\(~(c1_1 (a239))))))) -> False). % 0.84/1.01 do 0 intro. intros zenon_H116 zenon_H94 zenon_H52 zenon_H148 zenon_H156 zenon_H13e zenon_H14f zenon_H14e zenon_H14d zenon_H159 zenon_H29e zenon_H29f zenon_H2a0 zenon_H2ba zenon_H176 zenon_H175 zenon_H174 zenon_H25c zenon_H169 zenon_H145 zenon_H1fd zenon_H2e zenon_H2a zenon_H23 zenon_H22 zenon_H21 zenon_Hb1 zenon_Had zenon_H233 zenon_H24d zenon_H24c zenon_H24b zenon_H1d4 zenon_H53 zenon_H28d. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.84/1.01 apply (zenon_L626_); trivial. % 0.84/1.01 apply (zenon_L637_); trivial. % 0.84/1.01 apply (zenon_L549_); trivial. % 0.84/1.01 (* end of lemma zenon_L638_ *) % 0.84/1.01 assert (zenon_L639_ : ((ndr1_0)/\((c3_1 (a241))/\((~(c0_1 (a241)))/\(~(c1_1 (a241)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (c2_1 (a220)) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (~(c0_1 (a231))) -> (c1_1 (a231)) -> (c3_1 (a231)) -> (~(hskp9)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> (~(c1_1 (a217))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> False). % 0.84/1.01 do 0 intro. intros zenon_H28a zenon_H1df zenon_H1bc zenon_H16f zenon_H149 zenon_H102 zenon_H101 zenon_H100 zenon_H58 zenon_H59 zenon_H5a zenon_Had zenon_Hb1 zenon_H156 zenon_H13e zenon_H14f zenon_H14e zenon_H14d zenon_H94 zenon_H176 zenon_H175 zenon_H174 zenon_H1d4 zenon_H1c7 zenon_H215 zenon_H145 zenon_H148. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_Ha. zenon_intro zenon_H28b. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H279. zenon_intro zenon_H28c. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H278. zenon_intro zenon_H277. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.84/1.01 apply (zenon_L387_); trivial. % 0.84/1.01 apply (zenon_L437_); trivial. % 0.84/1.01 apply (zenon_L438_); trivial. % 0.84/1.01 (* end of lemma zenon_L639_ *) % 0.84/1.01 assert (zenon_L640_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (c3_1 (a261)) -> (c2_1 (a261)) -> (c1_1 (a261)) -> (~(c3_1 (a236))) -> (c0_1 (a236)) -> (~(c2_1 (a236))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (ndr1_0) -> (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24)))))) -> (~(c0_1 (a231))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> False). % 0.84/1.01 do 0 intro. intros zenon_H23c zenon_H9e zenon_H9d zenon_H9f zenon_H194 zenon_H195 zenon_H193 zenon_H174 zenon_H175 zenon_H176 zenon_H94 zenon_H2a0 zenon_H29f zenon_H29e zenon_Ha zenon_H78 zenon_H58 zenon_H5a zenon_H59. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H23d ]. % 0.84/1.01 apply (zenon_L131_); trivial. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H88 | zenon_intro zenon_H1c4 ]. % 0.84/1.01 apply (zenon_L495_); trivial. % 0.84/1.01 apply (zenon_L399_); trivial. % 0.84/1.01 (* end of lemma zenon_L640_ *) % 0.84/1.01 assert (zenon_L641_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (c3_1 (a261)) -> (c2_1 (a261)) -> (c1_1 (a261)) -> (~(c3_1 (a236))) -> (c0_1 (a236)) -> (~(c2_1 (a236))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (c0_1 (a234)) -> (c3_1 (a234)) -> (c1_1 (a234)) -> False). % 0.84/1.01 do 0 intro. intros zenon_H23c zenon_H9e zenon_H9d zenon_H9f zenon_H194 zenon_H195 zenon_H193 zenon_H174 zenon_H175 zenon_H176 zenon_H94 zenon_H2a0 zenon_H29f zenon_H29e zenon_Ha zenon_H9c zenon_H135 zenon_H137 zenon_H136. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H23d ]. % 0.84/1.01 apply (zenon_L131_); trivial. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H88 | zenon_intro zenon_H1c4 ]. % 0.84/1.01 apply (zenon_L495_); trivial. % 0.84/1.01 apply (zenon_L180_); trivial. % 0.84/1.01 (* end of lemma zenon_L641_ *) % 0.84/1.01 assert (zenon_L642_ : ((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a231)) -> (c3_1 (a231)) -> (~(c0_1 (a231))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(c3_1 (a236))) -> (c0_1 (a236)) -> (~(c2_1 (a236))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (c0_1 (a234)) -> (c3_1 (a234)) -> (c1_1 (a234)) -> False). % 0.84/1.01 do 0 intro. intros zenon_Haf zenon_Hab zenon_H59 zenon_H5a zenon_H58 zenon_H23c zenon_H194 zenon_H195 zenon_H193 zenon_H174 zenon_H175 zenon_H176 zenon_H94 zenon_H2a0 zenon_H29f zenon_H29e zenon_H135 zenon_H137 zenon_H136. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.84/1.01 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H78 | zenon_intro zenon_Hac ]. % 0.84/1.01 apply (zenon_L640_); trivial. % 0.84/1.01 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_H88 | zenon_intro zenon_H9c ]. % 0.84/1.01 apply (zenon_L495_); trivial. % 0.84/1.01 apply (zenon_L641_); trivial. % 0.84/1.01 (* end of lemma zenon_L642_ *) % 0.84/1.01 assert (zenon_L643_ : ((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c2_1 (a236))) -> (c0_1 (a236)) -> (~(c3_1 (a236))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> (~(c0_1 (a231))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(c1_1 (a217))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(hskp2)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> False). % 0.84/1.01 do 0 intro. intros zenon_H144 zenon_H145 zenon_Hab zenon_H94 zenon_H193 zenon_H195 zenon_H194 zenon_H176 zenon_H175 zenon_H174 zenon_H29e zenon_H29f zenon_H2a0 zenon_H58 zenon_H5a zenon_H59 zenon_H23c zenon_H14d zenon_H14e zenon_H14f zenon_H13e zenon_H156. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.84/1.01 apply (zenon_L82_); trivial. % 0.84/1.01 apply (zenon_L642_); trivial. % 0.84/1.01 (* end of lemma zenon_L643_ *) % 0.84/1.01 assert (zenon_L644_ : ((ndr1_0)/\((c0_1 (a236))/\((~(c2_1 (a236)))/\(~(c3_1 (a236)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> (~(c0_1 (a231))) -> (c3_1 (a231)) -> (c1_1 (a231)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(c1_1 (a217))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(hskp2)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> (~(c0_1 (a223))) -> (c1_1 (a223)) -> (c2_1 (a223)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> False). % 0.84/1.01 do 0 intro. intros zenon_H19c zenon_H148 zenon_H145 zenon_Hab zenon_H94 zenon_H176 zenon_H175 zenon_H174 zenon_H29e zenon_H29f zenon_H2a0 zenon_H58 zenon_H5a zenon_H59 zenon_H23c zenon_H14d zenon_H14e zenon_H14f zenon_H13e zenon_H156 zenon_H21 zenon_H22 zenon_H23 zenon_H217. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Ha. zenon_intro zenon_H19d. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H195. zenon_intro zenon_H19e. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H193. zenon_intro zenon_H194. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.84/1.01 apply (zenon_L184_); trivial. % 0.84/1.01 apply (zenon_L643_); trivial. % 0.84/1.01 (* end of lemma zenon_L644_ *) % 0.84/1.01 assert (zenon_L645_ : ((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a236))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(c0_1 (a223))) -> (c1_1 (a223)) -> (c2_1 (a223)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((c3_1 W)\/(~(c0_1 W))))))\/(hskp26))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a241))/\((~(c0_1 (a241)))/\(~(c1_1 (a241))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (~(hskp9)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c2_1 X71)\/(c3_1 X71)))))\/((hskp27)\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> (~(c1_1 (a217))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp14))) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (c2_1 (a220)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> False). % 0.84/1.01 do 0 intro. intros zenon_H63 zenon_H1de zenon_Hab zenon_H23c zenon_H21 zenon_H22 zenon_H23 zenon_H217 zenon_H28e zenon_H1df zenon_H1bc zenon_H149 zenon_Had zenon_Hb1 zenon_H156 zenon_H13e zenon_H14f zenon_H14e zenon_H14d zenon_H94 zenon_H176 zenon_H175 zenon_H174 zenon_H1d4 zenon_H1c7 zenon_H215 zenon_H145 zenon_H148 zenon_H275 zenon_H101 zenon_H100 zenon_H24d zenon_H24c zenon_H24b zenon_H102 zenon_H23a zenon_H29e zenon_H29f zenon_H2a0 zenon_H25c zenon_H116. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H64. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H59. zenon_intro zenon_H65. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H16f | zenon_intro zenon_H19c ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H273 | zenon_intro zenon_H28a ]. % 0.84/1.01 apply (zenon_L386_); trivial. % 0.84/1.01 apply (zenon_L639_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Ha. zenon_intro zenon_H114. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hd. zenon_intro zenon_H115. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H273 | zenon_intro zenon_H28a ]. % 0.84/1.01 apply (zenon_L605_); trivial. % 0.84/1.01 apply (zenon_L639_); trivial. % 0.84/1.01 apply (zenon_L644_); trivial. % 0.84/1.01 (* end of lemma zenon_L645_ *) % 0.84/1.01 assert (zenon_L646_ : ((ndr1_0)/\((c2_1 (a239))/\((c3_1 (a239))/\(~(c1_1 (a239)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(c1_1 (a217))) -> (~(hskp9)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> (~(hskp10)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp10))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> False). % 0.84/1.01 do 0 intro. intros zenon_H208 zenon_H53 zenon_H1d4 zenon_H25c zenon_H14e zenon_H14f zenon_H14d zenon_Had zenon_Hb1 zenon_H145 zenon_H233 zenon_Hab zenon_H2a0 zenon_H29f zenon_H29e zenon_H118 zenon_H119 zenon_H11a zenon_H2a zenon_H1f1 zenon_H24d zenon_H24c zenon_H24b zenon_H1a1 zenon_H1df. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_Ha. zenon_intro zenon_H209. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H200. zenon_intro zenon_H20a. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H20a). zenon_intro zenon_H201. zenon_intro zenon_H1ff. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.01 apply (zenon_L613_); trivial. % 0.84/1.01 apply (zenon_L631_); trivial. % 0.84/1.01 (* end of lemma zenon_L646_ *) % 0.84/1.01 assert (zenon_L647_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (~(hskp17)) -> ((hskp18)\/((hskp27)\/(hskp17))) -> (~(hskp5)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> False). % 0.84/1.01 do 0 intro. intros zenon_H1df zenon_H233 zenon_H2a zenon_H24d zenon_H24c zenon_H24b zenon_H145 zenon_H169 zenon_H224 zenon_H21c zenon_H21b zenon_H21a zenon_H159 zenon_H2c zenon_H1a1 zenon_H10c zenon_H226 zenon_H148. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.84/1.01 apply (zenon_L193_); trivial. % 0.84/1.01 apply (zenon_L247_); trivial. % 0.84/1.01 (* end of lemma zenon_L647_ *) % 0.84/1.01 assert (zenon_L648_ : ((~(hskp14))\/((ndr1_0)/\((c3_1 (a241))/\((~(c0_1 (a241)))/\(~(c1_1 (a241))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (c2_1 (a220)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp3)\/(hskp27))) -> (~(hskp9)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp5))) -> (~(hskp5)) -> ((hskp18)\/((hskp27)\/(hskp17))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (~(c0_1 (a215))) -> (~(c1_1 (a215))) -> (c2_1 (a215)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> (~(hskp10)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp14))) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp13)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((hskp3)\/(hskp13))) -> False). % 0.84/1.01 do 0 intro. intros zenon_H28e zenon_H53 zenon_H149 zenon_H102 zenon_H76 zenon_Had zenon_Hb1 zenon_H148 zenon_H226 zenon_H10c zenon_H1a1 zenon_H159 zenon_H21a zenon_H21b zenon_H21c zenon_H224 zenon_H169 zenon_H145 zenon_H2a zenon_H233 zenon_H1df zenon_H275 zenon_H101 zenon_H100 zenon_H24d zenon_H24c zenon_H24b zenon_Ha zenon_H1b zenon_H1fb zenon_H2be. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H273 | zenon_intro zenon_H28a ]. % 0.84/1.01 apply (zenon_L575_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_Ha. zenon_intro zenon_H28b. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H279. zenon_intro zenon_H28c. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H278. zenon_intro zenon_H277. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.01 apply (zenon_L647_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_He6 | zenon_intro zenon_H14a ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H57 | zenon_intro zenon_Hb5 ]. % 0.84/1.01 apply (zenon_L31_); trivial. % 0.84/1.01 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H8c | zenon_intro zenon_Hae ]. % 0.84/1.01 apply (zenon_L296_); trivial. % 0.84/1.01 exact (zenon_Had zenon_Hae). % 0.84/1.01 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_Hff | zenon_intro zenon_H133 ]. % 0.84/1.01 apply (zenon_L55_); trivial. % 0.84/1.01 exact (zenon_H132 zenon_H133). % 0.84/1.01 apply (zenon_L191_); trivial. % 0.84/1.01 apply (zenon_L192_); trivial. % 0.84/1.01 (* end of lemma zenon_L648_ *) % 0.84/1.01 assert (zenon_L649_ : ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp27)) -> (~(hskp3)) -> (~(c2_1 (a248))) -> (c1_1 (a248)) -> (c3_1 (a248)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp3)\/(hskp27))) -> (c3_1 (a239)) -> (c2_1 (a239)) -> (~(c1_1 (a239))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.84/1.01 do 0 intro. intros zenon_Hb1 zenon_H74 zenon_H1b zenon_H31 zenon_H33 zenon_H4f zenon_H76 zenon_H201 zenon_H200 zenon_H1ff zenon_Ha zenon_Had. % 0.84/1.01 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_H57 | zenon_intro zenon_Hb5 ]. % 0.84/1.01 apply (zenon_L31_); trivial. % 0.84/1.01 apply (zenon_or_s _ _ zenon_Hb5); [ zenon_intro zenon_H8c | zenon_intro zenon_Hae ]. % 0.84/1.01 apply (zenon_L175_); trivial. % 0.84/1.01 exact (zenon_Had zenon_Hae). % 0.84/1.01 (* end of lemma zenon_L649_ *) % 0.84/1.01 assert (zenon_L650_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a239))/\((c3_1 (a239))/\(~(c1_1 (a239))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((hskp3)\/(hskp13))) -> (~(hskp3)) -> (ndr1_0) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp14))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> (~(hskp5)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/((hskp3)\/(hskp27))) -> (c2_1 (a220)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a241))/\((~(c0_1 (a241)))/\(~(c1_1 (a241))))))) -> False). % 0.84/1.01 do 0 intro. intros zenon_H28d zenon_H2be zenon_H1b zenon_Ha zenon_H24b zenon_H24c zenon_H24d zenon_H100 zenon_H101 zenon_H275 zenon_H1df zenon_H233 zenon_H2a zenon_H145 zenon_H169 zenon_H224 zenon_H21c zenon_H21b zenon_H21a zenon_H159 zenon_H1a1 zenon_H10c zenon_H226 zenon_H148 zenon_Hb1 zenon_Had zenon_H76 zenon_H102 zenon_H149 zenon_H53 zenon_H28e. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.84/1.01 apply (zenon_L648_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_Ha. zenon_intro zenon_H209. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H200. zenon_intro zenon_H20a. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H20a). zenon_intro zenon_H201. zenon_intro zenon_H1ff. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.01 apply (zenon_L647_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.84/1.01 apply (zenon_L649_); trivial. % 0.84/1.01 apply (zenon_L191_); trivial. % 0.84/1.01 apply (zenon_L192_); trivial. % 0.84/1.01 (* end of lemma zenon_L650_ *) % 0.84/1.01 assert (zenon_L651_ : ((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a239))/\((c3_1 (a239))/\(~(c1_1 (a239))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((hskp3)\/(hskp13))) -> (~(hskp3)) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp14))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp26))) -> (c2_1 (a220)) -> (~(hskp9)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (~(c0_1 (a215))) -> (~(c1_1 (a215))) -> (c2_1 (a215)) -> (~(hskp5)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a241))/\((~(c0_1 (a241)))/\(~(c1_1 (a241))))))) -> False). % 0.84/1.01 do 0 intro. intros zenon_H63 zenon_H28d zenon_H2be zenon_H1b zenon_H24b zenon_H24c zenon_H24d zenon_H100 zenon_H101 zenon_H275 zenon_H149 zenon_H102 zenon_Had zenon_Hb1 zenon_H21a zenon_H21b zenon_H21c zenon_H10c zenon_H226 zenon_H148 zenon_H28e. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H64. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H59. zenon_intro zenon_H65. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H273 | zenon_intro zenon_H28a ]. % 0.84/1.01 apply (zenon_L575_); trivial. % 0.84/1.01 apply (zenon_L554_); trivial. % 0.84/1.01 apply (zenon_L176_); trivial. % 0.84/1.01 (* end of lemma zenon_L651_ *) % 0.84/1.01 assert (zenon_L652_ : ((ndr1_0)/\((c0_1 (a226))/\((~(c1_1 (a226)))/\(~(c2_1 (a226)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> (~(hskp5)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X11 : zenon_U, ((ndr1_0)->((~(c0_1 X11))\/((~(c1_1 X11))\/(~(c3_1 X11))))))\/(hskp5))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> False). % 0.84/1.01 do 0 intro. intros zenon_Hfa zenon_H66 zenon_Hab zenon_H1df zenon_H233 zenon_H24d zenon_H24c zenon_H24b zenon_H145 zenon_H169 zenon_H224 zenon_H21c zenon_H21b zenon_H21a zenon_H159 zenon_H1a1 zenon_H10c zenon_H226 zenon_H148 zenon_H29e zenon_H29f zenon_H2a0 zenon_H23c zenon_H53. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf3. zenon_intro zenon_Hfd. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.01 apply (zenon_L647_); trivial. % 0.84/1.01 apply (zenon_L527_); trivial. % 0.84/1.01 apply (zenon_L541_); trivial. % 0.84/1.01 (* end of lemma zenon_L652_ *) % 0.84/1.01 assert (zenon_L653_ : ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(c2_1 (a236))) -> (c0_1 (a236)) -> (~(c3_1 (a236))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))) -> (c1_1 (a231)) -> (c3_1 (a231)) -> False). % 0.84/1.01 do 0 intro. intros zenon_H236 zenon_H21c zenon_H21b zenon_H21a zenon_H11a zenon_H119 zenon_H118 zenon_H23c zenon_H193 zenon_H195 zenon_H194 zenon_H2a0 zenon_H29f zenon_H29e zenon_Ha zenon_H8d zenon_H59 zenon_H5a. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H219 | zenon_intro zenon_H237 ]. % 0.84/1.01 apply (zenon_L188_); trivial. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H117 | zenon_intro zenon_H82 ]. % 0.84/1.01 apply (zenon_L64_); trivial. % 0.84/1.01 apply (zenon_L558_); trivial. % 0.84/1.01 (* end of lemma zenon_L653_ *) % 0.84/1.01 assert (zenon_L654_ : ((ndr1_0)/\((c3_1 (a241))/\((~(c0_1 (a241)))/\(~(c1_1 (a241)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(hskp9)) -> (~(c0_1 (a231))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(c2_1 (a236))) -> (c0_1 (a236)) -> (~(c3_1 (a236))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (c1_1 (a231)) -> (c3_1 (a231)) -> False). % 0.84/1.01 do 0 intro. intros zenon_H28a zenon_H299 zenon_Had zenon_H58 zenon_Hb1 zenon_H236 zenon_H21c zenon_H21b zenon_H21a zenon_H11a zenon_H119 zenon_H118 zenon_H23c zenon_H193 zenon_H195 zenon_H194 zenon_H2a0 zenon_H29f zenon_H29e zenon_H59 zenon_H5a. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_Ha. zenon_intro zenon_H28b. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H279. zenon_intro zenon_H28c. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H278. zenon_intro zenon_H277. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H219 | zenon_intro zenon_H29a ]. % 0.84/1.01 apply (zenon_L188_); trivial. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_He6 | zenon_intro zenon_H8d ]. % 0.84/1.01 apply (zenon_L297_); trivial. % 0.84/1.01 apply (zenon_L653_); trivial. % 0.84/1.01 (* end of lemma zenon_L654_ *) % 0.84/1.01 assert (zenon_L655_ : ((~(hskp14))\/((ndr1_0)/\((c3_1 (a241))/\((~(c0_1 (a241)))/\(~(c1_1 (a241))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (~(c2_1 (a236))) -> (c0_1 (a236)) -> (~(c3_1 (a236))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c0_1 (a231))) -> (c1_1 (a231)) -> (c3_1 (a231)) -> (~(hskp9)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp14))) -> (c1_1 (a220)) -> (~(c3_1 (a220))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> (ndr1_0) -> (c2_1 (a220)) -> (~(hskp12)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> False). % 0.84/1.01 do 0 intro. intros zenon_H28e zenon_H299 zenon_H118 zenon_H119 zenon_H11a zenon_H23c zenon_H2a0 zenon_H29f zenon_H29e zenon_H193 zenon_H195 zenon_H194 zenon_H236 zenon_H58 zenon_H59 zenon_H5a zenon_Had zenon_Hb1 zenon_H21c zenon_H21b zenon_H21a zenon_H275 zenon_H101 zenon_H100 zenon_H24d zenon_H24c zenon_H24b zenon_Ha zenon_H102 zenon_H1 zenon_H23a. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H273 | zenon_intro zenon_H28a ]. % 0.84/1.01 apply (zenon_L386_); trivial. % 0.84/1.01 apply (zenon_L654_); trivial. % 0.84/1.01 (* end of lemma zenon_L655_ *) % 0.84/1.01 assert (zenon_L656_ : ((ndr1_0)/\((c0_1 (a226))/\((~(c1_1 (a226)))/\(~(c2_1 (a226)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c3_1 (a220))) -> (c1_1 (a220)) -> (c2_1 (a220)) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp15))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c1_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a242))/\((~(c0_1 (a242)))/\(~(c2_1 (a242))))))) -> False). % 0.84/1.01 do 0 intro. intros zenon_Hfa zenon_H66 zenon_H148 zenon_H23c zenon_H159 zenon_H2a0 zenon_H29f zenon_H29e zenon_Hab zenon_H169 zenon_H236 zenon_H100 zenon_H101 zenon_H102 zenon_H121 zenon_H11a zenon_H119 zenon_H118 zenon_H21c zenon_H21b zenon_H21a zenon_Hb0 zenon_H123. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf3. zenon_intro zenon_Hfd. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.01 apply (zenon_L203_); trivial. % 0.84/1.01 apply (zenon_L541_); trivial. % 0.84/1.01 (* end of lemma zenon_L656_ *) % 0.84/1.01 assert (zenon_L657_ : ((ndr1_0)/\((c3_1 (a218))/\((~(c1_1 (a218)))/\(~(c2_1 (a218)))))) -> ((~(hskp6))\/((ndr1_0)/\((c1_1 (a220))/\((c2_1 (a220))/\(~(c3_1 (a220))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a226))/\((~(c1_1 (a226)))/\(~(c2_1 (a226))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a242))/\((~(c0_1 (a242)))/\(~(c2_1 (a242))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c0_1 X27)\/((c2_1 X27)\/(~(c1_1 X27))))))\/((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/(hskp10))) -> ((forall X28 : zenon_U, ((ndr1_0)->((c0_1 X28)\/((~(c1_1 X28))\/(~(c2_1 X28))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp15))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64))))))\/(hskp18))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a241))/\((~(c0_1 (a241)))/\(~(c1_1 (a241))))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c2_1 X2)\/(~(c3_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3)))))))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X60 : zenon_U, ((ndr1_0)->((c1_1 X60)\/((~(c2_1 X60))\/(~(c3_1 X60))))))\/(hskp9))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6))))))\/(hskp14))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((c3_1 X37)\/(~(c1_1 X37))))))\/((forall X34 : zenon_U, ((ndr1_0)->((c3_1 X34)\/((~(c1_1 X34))\/(~(c2_1 X34))))))\/(hskp12))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a237))/\((c2_1 (a237))/\(~(c3_1 (a237))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a236))/\((~(c2_1 (a236)))/\(~(c3_1 (a236))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231))))))) -> (~(c0_1 (a215))) -> (~(c1_1 (a215))) -> (c2_1 (a215)) -> (~(hskp3)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((hskp3)\/(hskp6))) -> False). % 0.84/1.01 do 0 intro. intros zenon_H23e zenon_H23f zenon_H29b zenon_Hab zenon_H123 zenon_Hb0 zenon_H121 zenon_H236 zenon_H53 zenon_H148 zenon_H1a1 zenon_H1c7 zenon_H159 zenon_H224 zenon_H169 zenon_H145 zenon_H1bc zenon_H1df zenon_H28e zenon_H299 zenon_H23c zenon_H2a0 zenon_H29f zenon_H29e zenon_Hb1 zenon_H275 zenon_H24d zenon_H24c zenon_H24b zenon_H23a zenon_H247 zenon_H25c zenon_H116 zenon_H1de zenon_H66 zenon_H21a zenon_H21b zenon_H21c zenon_H1b zenon_H223. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H240. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H11a. zenon_intro zenon_H241. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H17 | zenon_intro zenon_H16a ]. % 0.84/1.01 apply (zenon_L189_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Ha. zenon_intro zenon_H16b. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H101. zenon_intro zenon_H16c. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H102. zenon_intro zenon_H100. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.01 apply (zenon_L203_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H64. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H59. zenon_intro zenon_H65. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H16f | zenon_intro zenon_H19c ]. % 0.84/1.01 apply (zenon_L212_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Ha. zenon_intro zenon_H19d. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H195. zenon_intro zenon_H19e. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H193. zenon_intro zenon_H194. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.01 apply (zenon_L655_); trivial. % 0.84/1.01 apply (zenon_L561_); trivial. % 0.84/1.01 apply (zenon_L656_); trivial. % 0.84/1.01 (* end of lemma zenon_L657_ *) % 0.84/1.01 assert (zenon_L658_ : ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(c2_1 (a236))) -> (c0_1 (a236)) -> (~(c3_1 (a236))) -> (forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> (ndr1_0) -> (~(c2_1 (a248))) -> (c1_1 (a248)) -> (c3_1 (a248)) -> False). % 0.84/1.01 do 0 intro. intros zenon_H23c zenon_H193 zenon_H195 zenon_H194 zenon_H82 zenon_H2a0 zenon_H29f zenon_H29e zenon_Ha zenon_H31 zenon_H33 zenon_H4f. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H23d ]. % 0.84/1.01 apply (zenon_L130_); trivial. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H88 | zenon_intro zenon_H1c4 ]. % 0.84/1.01 apply (zenon_L495_); trivial. % 0.84/1.01 apply (zenon_L119_); trivial. % 0.84/1.01 (* end of lemma zenon_L658_ *) % 0.84/1.01 assert (zenon_L659_ : ((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> (~(c2_1 (a236))) -> (c0_1 (a236)) -> (~(c3_1 (a236))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> False). % 0.84/1.01 do 0 intro. intros zenon_H4a zenon_H236 zenon_H21c zenon_H21b zenon_H21a zenon_H11a zenon_H119 zenon_H118 zenon_H23c zenon_H193 zenon_H195 zenon_H194 zenon_H2a0 zenon_H29f zenon_H29e. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H219 | zenon_intro zenon_H237 ]. % 0.84/1.01 apply (zenon_L188_); trivial. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H117 | zenon_intro zenon_H82 ]. % 0.84/1.01 apply (zenon_L64_); trivial. % 0.84/1.01 apply (zenon_L658_); trivial. % 0.84/1.01 (* end of lemma zenon_L659_ *) % 0.84/1.01 assert (zenon_L660_ : ((ndr1_0)/\((c0_1 (a236))/\((~(c2_1 (a236)))/\(~(c3_1 (a236)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> (~(c2_1 (a216))) -> (c0_1 (a216)) -> (c1_1 (a216)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> (c2_1 (a215)) -> (~(c1_1 (a215))) -> (~(c0_1 (a215))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> False). % 0.84/1.01 do 0 intro. intros zenon_H19c zenon_H53 zenon_H29e zenon_H29f zenon_H2a0 zenon_H23c zenon_H145 zenon_H236 zenon_H174 zenon_H175 zenon_H176 zenon_H1f1 zenon_H2a zenon_H247 zenon_H11a zenon_H119 zenon_H118 zenon_H21c zenon_H21b zenon_H21a zenon_H1a1 zenon_H24b zenon_H24c zenon_H24d zenon_H233 zenon_H1df. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Ha. zenon_intro zenon_H19d. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H195. zenon_intro zenon_H19e. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H193. zenon_intro zenon_H194. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.01 apply (zenon_L444_); trivial. % 0.84/1.01 apply (zenon_L659_); trivial. % 0.84/1.01 (* end of lemma zenon_L660_ *) % 0.84/1.01 assert (zenon_L661_ : ((ndr1_0)/\((c0_1 (a226))/\((~(c1_1 (a226)))/\(~(c2_1 (a226)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a231))/\((c3_1 (a231))/\(~(c0_1 (a231))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a234))/\((c1_1 (a234))/\(c3_1 (a234)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((~(c1_1 X3))\/((~(c2_1 X3))\/(~(c3_1 X3))))))\/((hskp26)\/(hskp29))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a296))/\((c2_1 (a296))/\(c3_1 (a296)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a252))/\((c2_1 (a252))/\(~(c1_1 (a252))))))) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> (c2_1 (a214)) -> (~(c3_1 (a214))) -> (~(c0_1 (a214))) -> ((hskp18)\/((hskp27)\/(hskp17))) -> (~(c0_1 (a215))) -> (~(c1_1 (a215))) -> (c2_1 (a215)) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp10))) -> (c1_1 (a216)) -> (c0_1 (a216)) -> (~(c2_1 (a216))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c1_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a261))/\((c2_1 (a261))/\(c3_1 (a261)))))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> ((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((c2_1 X32)\/(~(c0_1 X32))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X64 : zenon_U, ((ndr1_0)->((c2_1 X64)\/((~(c1_1 X64))\/(~(c3_1 X64)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248))))))) -> False). % 0.84/1.01 do 0 intro. intros zenon_Hfa zenon_H66 zenon_H148 zenon_H159 zenon_Hab zenon_H169 zenon_H1df zenon_H233 zenon_H24d zenon_H24c zenon_H24b zenon_H1a1 zenon_H21a zenon_H21b zenon_H21c zenon_H118 zenon_H119 zenon_H11a zenon_H247 zenon_H1f1 zenon_H176 zenon_H175 zenon_H174 zenon_H236 zenon_H145 zenon_H29e zenon_H29f zenon_H2a0 zenon_H23c zenon_H53. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf3. zenon_intro zenon_Hfd. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.01 apply (zenon_L444_); trivial. % 0.84/1.01 apply (zenon_L527_); trivial. % 0.84/1.01 apply (zenon_L541_); trivial. % 0.84/1.01 (* end of lemma zenon_L661_ *) % 0.84/1.01 assert (zenon_L662_ : ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp10))) -> (c3_1 (a248)) -> (c1_1 (a248)) -> (~(c2_1 (a248))) -> (~(c1_1 (a213))) -> (~(c3_1 (a213))) -> (c2_1 (a213)) -> (forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18))))) -> (~(c1_1 (a217))) -> (~(c3_1 (a217))) -> (~(c2_1 (a217))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (c3_1 (a218)) -> (~(c2_1 (a218))) -> (~(c1_1 (a218))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.84/1.01 do 0 intro. intros zenon_H1f1 zenon_H4f zenon_H33 zenon_H31 zenon_H29e zenon_H29f zenon_H2a0 zenon_H1d0 zenon_H14d zenon_H14f zenon_H14e zenon_H25c zenon_H11a zenon_H119 zenon_H118 zenon_Ha zenon_H2a. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H57 | zenon_intro zenon_H1f2 ]. % 0.84/1.01 apply (zenon_L508_); trivial. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H117 | zenon_intro zenon_H2b ]. % 0.84/1.01 apply (zenon_L64_); trivial. % 0.84/1.01 exact (zenon_H2a zenon_H2b). % 0.84/1.01 (* end of lemma zenon_L662_ *) % 0.84/1.01 assert (zenon_L663_ : ((ndr1_0)/\((c1_1 (a248))/\((c3_1 (a248))/\(~(c2_1 (a248)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c0_1 X18)\/((c2_1 X18)\/(c3_1 X18)))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c2_1 X24))\/(~(c3_1 X24))))))\/(hskp9))) -> (~(c1_1 (a218))) -> (~(c2_1 (a218))) -> (c3_1 (a218)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c1_1 X19)\/((c3_1 X19)\/(~(c0_1 X19))))))\/((forall X67 : zenon_U, ((ndr1_0)->((c1_1 X67)\/((c3_1 X67)\/(~(c2_1 X67))))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((~(c0_1 X8))\/(~(c3_1 X8)))))))) -> (~(c2_1 (a217))) -> (~(c3_1 (a217))) -> (~(c1_1 (a217))) -> (c2_1 (a213)) -> (~(c3_1 (a213))) -> (~(c1_1 (a213))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c0_1 X57)\/((~(c1_1 X57))\/(~(c3_1 X57))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c1_1 X5)\/((c2_1 X5)\/(~(c3_1 X5))))))\/(hskp10))) -> (~(hskp10)) -> (~(c1_1 (a239))) -> (c2_1 (a239)) -> (c3_1 (a239)) -> (~(c0_1 (a214))) -> (~(c3_1 (a214))) -> (c2_1 (a214)) -> ((forall X45 : zenon_U, ((ndr1_0)->((c0_1 X45)\/((c3_1 X45)\/(~(c2_1 X45))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c2_1 X41))))))\/(hskp10))) -> (~(hskp9)) -> False). % 0.84/1.01 do 0 intro. intros zenon_H4a zenon_H1d4 zenon_H118 zenon_H119 zenon_H11a zenon_H25c zenon_H14e zenon_H14f zenon_H14d zenon_H2a0 zenon_H29f zenon_H29e zenon_H1f1 zenon_H2a zenon_H1ff zenon_H200 zenon_H201 zenon_H24b zenon_H24c zenon_H24d zenon_H233 zenon_Had. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1d5 ]. % 0.84/1.01 apply (zenon_L662_); trivial. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hae ]. % 0.84/1.01 apply (zenon_L420_); trivial. % 0.84/1.01 exact (zenon_Had zenon_Hae). % 0.84/1.01 (* end of lemma zenon_L663_ *) % 0.84/1.01 apply NNPP. intro zenon_G. % 0.84/1.01 apply zenon_G. zenon_intro zenon_H2c0. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H2c4. zenon_intro zenon_H2c3. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H2c6. zenon_intro zenon_H2c5. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_H2c8. zenon_intro zenon_H2c7. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H2ca. zenon_intro zenon_H2c9. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2c9). zenon_intro zenon_H2cc. zenon_intro zenon_H2cb. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H23f. zenon_intro zenon_H2cd. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_H127. zenon_intro zenon_H2ce. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H298. zenon_intro zenon_H2cf. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H29b. zenon_intro zenon_H2d0. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H66. zenon_intro zenon_H2d1. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H1de. zenon_intro zenon_H2d2. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2d2). zenon_intro zenon_H116. zenon_intro zenon_H2d3. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_H28d. zenon_intro zenon_H2d4. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_H28e. zenon_intro zenon_H2d5. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H123. zenon_intro zenon_H2d6. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2d6). zenon_intro zenon_H52. zenon_intro zenon_H2d7. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_H53. zenon_intro zenon_H2d8. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H1df. zenon_intro zenon_H2d9. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H14b. zenon_intro zenon_H2da. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H1c1. zenon_intro zenon_H2db. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H2b5. zenon_intro zenon_H2dc. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H2de. zenon_intro zenon_H2dd. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H1c0. zenon_intro zenon_H2df. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H109. zenon_intro zenon_H2e0. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_Hc1. zenon_intro zenon_H2e1. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H148. zenon_intro zenon_H2e2. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_H145. zenon_intro zenon_H2e3. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_H2e5. zenon_intro zenon_H2e4. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2e4). zenon_intro zenon_H169. zenon_intro zenon_H2e6. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H2e8. zenon_intro zenon_H2e7. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1c2. zenon_intro zenon_H2e9. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_H165. zenon_intro zenon_H2ea. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_Hd6. zenon_intro zenon_H2eb. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H299. zenon_intro zenon_H2ec. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H236. zenon_intro zenon_H2ed. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H247. zenon_intro zenon_H2ee. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H226. zenon_intro zenon_H2ef. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_H224. zenon_intro zenon_H2f0. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H223. zenon_intro zenon_H2f1. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H2f3. zenon_intro zenon_H2f2. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H2f5. zenon_intro zenon_H2f4. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H2f7. zenon_intro zenon_H2f6. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H232. zenon_intro zenon_H2f8. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H1d4. zenon_intro zenon_H2f9. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_H267. zenon_intro zenon_H2fa. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H2fc. zenon_intro zenon_H2fb. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2fb). zenon_intro zenon_Hb0. zenon_intro zenon_H2fd. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2fd). zenon_intro zenon_H4b. zenon_intro zenon_H2fe. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_Hfb. zenon_intro zenon_H2ff. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H149. zenon_intro zenon_H300. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H10f. zenon_intro zenon_H301. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H215. zenon_intro zenon_H302. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H1bc. zenon_intro zenon_H303. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H303). zenon_intro zenon_H23a. zenon_intro zenon_H304. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H2be. zenon_intro zenon_H305. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H305). zenon_intro zenon_H233. zenon_intro zenon_H306. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H275. zenon_intro zenon_H307. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H307). zenon_intro zenon_H121. zenon_intro zenon_H308. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H217. zenon_intro zenon_H309. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H309). zenon_intro zenon_H4c. zenon_intro zenon_H30a. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H1ea. zenon_intro zenon_H30b. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H30b). zenon_intro zenon_H2e. zenon_intro zenon_H30c. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H1f1. zenon_intro zenon_H30d. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_Hb1. zenon_intro zenon_H30e. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H310. zenon_intro zenon_H30f. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_H1c7. zenon_intro zenon_H311. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H61. zenon_intro zenon_H312. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_Hab. zenon_intro zenon_H313. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hc2. zenon_intro zenon_H314. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H29c. zenon_intro zenon_H315. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H317. zenon_intro zenon_H316. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H319. zenon_intro zenon_H318. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H156. zenon_intro zenon_H31a. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H23c. zenon_intro zenon_H31b. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H31b). zenon_intro zenon_H31d. zenon_intro zenon_H31c. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H269. zenon_intro zenon_H31e. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H31e). zenon_intro zenon_H320. zenon_intro zenon_H31f. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H31f). zenon_intro zenon_H25c. zenon_intro zenon_H321. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H321). zenon_intro zenon_H10a. zenon_intro zenon_H322. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H322). zenon_intro zenon_H2b8. zenon_intro zenon_H323. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H323). zenon_intro zenon_H2b6. zenon_intro zenon_H324. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H324). zenon_intro zenon_H326. zenon_intro zenon_H325. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_H328. zenon_intro zenon_H327. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H32a. zenon_intro zenon_H329. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H329). zenon_intro zenon_H1ec. zenon_intro zenon_H32b. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H130. zenon_intro zenon_H32c. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H9a. zenon_intro zenon_H32d. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H185. zenon_intro zenon_H32e. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H2ba. zenon_intro zenon_H32f. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H331. zenon_intro zenon_H330. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H330). zenon_intro zenon_H288. zenon_intro zenon_H332. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_H94. zenon_intro zenon_H333. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H76. zenon_intro zenon_H334. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H336. zenon_intro zenon_H335. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H335). zenon_intro zenon_H19. zenon_intro zenon_H337. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H339. zenon_intro zenon_H338. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_H33b. zenon_intro zenon_H33a. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H140. zenon_intro zenon_H33c. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H33e. zenon_intro zenon_H33d. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H33d). zenon_intro zenon_H159. zenon_intro zenon_H33f. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H33f). zenon_intro zenon_H1f. zenon_intro zenon_H340. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H340). zenon_intro zenon_H171. zenon_intro zenon_H341. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H341). zenon_intro zenon_H343. zenon_intro zenon_H342. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H342). zenon_intro zenon_H1a5. zenon_intro zenon_H344. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H344). zenon_intro zenon_H346. zenon_intro zenon_H345. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H345). zenon_intro zenon_H1a1. zenon_intro zenon_H347. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H347). zenon_intro zenon_H1fd. zenon_intro zenon_H348. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H348). zenon_intro zenon_H7. zenon_intro zenon_H69. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H2c2); [ zenon_intro zenon_H5 | zenon_intro zenon_H349 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H3 | zenon_intro zenon_H34a ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H13e | zenon_intro zenon_H34b ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1b | zenon_intro zenon_H34c ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H34d ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H23e ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H17 | zenon_intro zenon_H16a ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H15 | zenon_intro zenon_H124 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.01 apply (zenon_L4_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Ha. zenon_intro zenon_H114. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hd. zenon_intro zenon_H115. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.84/1.01 apply (zenon_L9_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Ha. zenon_intro zenon_H125. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H22. zenon_intro zenon_H126. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H23. zenon_intro zenon_H21. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H3e | zenon_intro zenon_H10e ]. % 0.84/1.01 apply (zenon_L25_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Ha. zenon_intro zenon_H110. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He9. zenon_intro zenon_H111. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_He7. zenon_intro zenon_He8. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.01 apply (zenon_L4_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Ha. zenon_intro zenon_H114. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hd. zenon_intro zenon_H115. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H96 | zenon_intro zenon_He3 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.01 apply (zenon_L16_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H98 | zenon_intro zenon_Hc0 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H6a | zenon_intro zenon_Hc5 ]. % 0.84/1.01 apply (zenon_L27_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc6. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7a. zenon_intro zenon_Hc7. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.84/1.01 apply (zenon_L32_); trivial. % 0.84/1.01 apply (zenon_L44_); trivial. % 0.84/1.01 apply (zenon_L46_); trivial. % 0.84/1.01 apply (zenon_L49_); trivial. % 0.84/1.01 apply (zenon_L51_); trivial. % 0.84/1.01 apply (zenon_L24_); trivial. % 0.84/1.01 apply (zenon_L54_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Ha. zenon_intro zenon_H16b. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H101. zenon_intro zenon_H16c. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H102. zenon_intro zenon_H100. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H3e | zenon_intro zenon_H10e ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H96 | zenon_intro zenon_He3 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/1.01 apply (zenon_L12_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.84/1.01 apply (zenon_L57_); trivial. % 0.84/1.01 apply (zenon_L49_); trivial. % 0.84/1.01 apply (zenon_L59_); trivial. % 0.84/1.01 apply (zenon_L61_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H240. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H11a. zenon_intro zenon_H241. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H17 | zenon_intro zenon_H16a ]. % 0.84/1.01 apply (zenon_L68_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Ha. zenon_intro zenon_H16b. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H101. zenon_intro zenon_H16c. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H102. zenon_intro zenon_H100. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/1.01 apply (zenon_L12_); trivial. % 0.84/1.01 apply (zenon_L80_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H34d). zenon_intro zenon_Ha. zenon_intro zenon_H34e. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H34e). zenon_intro zenon_H14d. zenon_intro zenon_H34f. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H34f). zenon_intro zenon_H14e. zenon_intro zenon_H14f. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H17 | zenon_intro zenon_H16a ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H15 | zenon_intro zenon_H124 ]. % 0.84/1.01 apply (zenon_L63_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Ha. zenon_intro zenon_H125. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H22. zenon_intro zenon_H126. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H23. zenon_intro zenon_H21. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H3e | zenon_intro zenon_H10e ]. % 0.84/1.01 apply (zenon_L25_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Ha. zenon_intro zenon_H110. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He9. zenon_intro zenon_H111. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_He7. zenon_intro zenon_He8. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.01 apply (zenon_L4_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Ha. zenon_intro zenon_H114. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hd. zenon_intro zenon_H115. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H96 | zenon_intro zenon_He3 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.01 apply (zenon_L16_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H98 | zenon_intro zenon_Hc0 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H6a | zenon_intro zenon_Hc5 ]. % 0.84/1.01 apply (zenon_L27_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc6. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7a. zenon_intro zenon_Hc7. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.84/1.01 apply (zenon_L82_); trivial. % 0.84/1.01 apply (zenon_L44_); trivial. % 0.84/1.01 apply (zenon_L46_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha. zenon_intro zenon_Hd7. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.84/1.01 apply (zenon_L88_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.84/1.01 apply (zenon_L75_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H168 ]. % 0.84/1.01 apply (zenon_L47_); trivial. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H168); [ zenon_intro zenon_H9c | zenon_intro zenon_H13f ]. % 0.84/1.01 apply (zenon_L89_); trivial. % 0.84/1.01 exact (zenon_H13e zenon_H13f). % 0.84/1.01 apply (zenon_L51_); trivial. % 0.84/1.01 apply (zenon_L24_); trivial. % 0.84/1.01 apply (zenon_L54_); trivial. % 0.84/1.01 apply (zenon_L91_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H34c). zenon_intro zenon_Ha. zenon_intro zenon_H350. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H350). zenon_intro zenon_H175. zenon_intro zenon_H351. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H351). zenon_intro zenon_H176. zenon_intro zenon_H174. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H34d ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H23e ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H16f | zenon_intro zenon_H19c ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H16d | zenon_intro zenon_H190 ]. % 0.84/1.01 apply (zenon_L94_); trivial. % 0.84/1.01 apply (zenon_L101_); trivial. % 0.84/1.01 apply (zenon_L103_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H240. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H11a. zenon_intro zenon_H241. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H17 | zenon_intro zenon_H16a ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H15 | zenon_intro zenon_H124 ]. % 0.84/1.01 apply (zenon_L63_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Ha. zenon_intro zenon_H125. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H22. zenon_intro zenon_H126. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H23. zenon_intro zenon_H21. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H3e | zenon_intro zenon_H10e ]. % 0.84/1.01 apply (zenon_L104_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Ha. zenon_intro zenon_H110. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He9. zenon_intro zenon_H111. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_He7. zenon_intro zenon_He8. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.01 apply (zenon_L66_); trivial. % 0.84/1.01 apply (zenon_L136_); trivial. % 0.84/1.01 apply (zenon_L54_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Ha. zenon_intro zenon_H16b. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H101. zenon_intro zenon_H16c. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H102. zenon_intro zenon_H100. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H15 | zenon_intro zenon_H124 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H16f | zenon_intro zenon_H19c ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.01 apply (zenon_L149_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.84/1.01 apply (zenon_L125_); trivial. % 0.84/1.01 apply (zenon_L153_); trivial. % 0.84/1.01 apply (zenon_L156_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Ha. zenon_intro zenon_H19d. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H195. zenon_intro zenon_H19e. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H193. zenon_intro zenon_H194. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/1.01 apply (zenon_L157_); trivial. % 0.84/1.01 apply (zenon_L158_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H64. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H59. zenon_intro zenon_H65. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H16f | zenon_intro zenon_H19c ]. % 0.84/1.01 apply (zenon_L166_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Ha. zenon_intro zenon_H19d. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H195. zenon_intro zenon_H19e. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H193. zenon_intro zenon_H194. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/1.01 apply (zenon_L157_); trivial. % 0.84/1.01 apply (zenon_L165_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf3. zenon_intro zenon_Hfd. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H16f | zenon_intro zenon_H19c ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/1.01 apply (zenon_L167_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.84/1.01 apply (zenon_L154_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_Ha. zenon_intro zenon_H1e1. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_H1b3. zenon_intro zenon_H1e2. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H1b4. zenon_intro zenon_H1b2. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.84/1.01 apply (zenon_L168_); trivial. % 0.84/1.01 apply (zenon_L118_); trivial. % 0.84/1.01 apply (zenon_L155_); trivial. % 0.84/1.01 apply (zenon_L169_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H64. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H59. zenon_intro zenon_H65. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H16f | zenon_intro zenon_H19c ]. % 0.84/1.01 apply (zenon_L166_); trivial. % 0.84/1.01 apply (zenon_L169_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Ha. zenon_intro zenon_H125. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H22. zenon_intro zenon_H126. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H23. zenon_intro zenon_H21. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H3e | zenon_intro zenon_H10e ]. % 0.84/1.01 apply (zenon_L104_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Ha. zenon_intro zenon_H110. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He9. zenon_intro zenon_H111. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_He7. zenon_intro zenon_He8. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.01 apply (zenon_L66_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H64. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H59. zenon_intro zenon_H65. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H16f | zenon_intro zenon_H19c ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.84/1.01 apply (zenon_L174_); trivial. % 0.84/1.01 apply (zenon_L176_); trivial. % 0.84/1.01 apply (zenon_L183_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Ha. zenon_intro zenon_H19d. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H195. zenon_intro zenon_H19e. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H193. zenon_intro zenon_H194. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/1.01 apply (zenon_L157_); trivial. % 0.84/1.01 apply (zenon_L185_); trivial. % 0.84/1.01 apply (zenon_L54_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H34d). zenon_intro zenon_Ha. zenon_intro zenon_H34e. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H34e). zenon_intro zenon_H14d. zenon_intro zenon_H34f. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H34f). zenon_intro zenon_H14e. zenon_intro zenon_H14f. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H23e ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H16f | zenon_intro zenon_H19c ]. % 0.84/1.01 apply (zenon_L187_); trivial. % 0.84/1.01 apply (zenon_L103_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H240. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H11a. zenon_intro zenon_H241. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H16f | zenon_intro zenon_H19c ]. % 0.84/1.01 apply (zenon_L187_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Ha. zenon_intro zenon_H19d. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H195. zenon_intro zenon_H19e. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H193. zenon_intro zenon_H194. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.84/1.01 apply (zenon_L82_); trivial. % 0.84/1.01 apply (zenon_L132_); trivial. % 0.84/1.01 apply (zenon_L135_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H34b). zenon_intro zenon_Ha. zenon_intro zenon_H352. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H352). zenon_intro zenon_H21c. zenon_intro zenon_H353. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H353). zenon_intro zenon_H21a. zenon_intro zenon_H21b. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1b | zenon_intro zenon_H34c ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H23e ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H17 | zenon_intro zenon_H16a ]. % 0.84/1.01 apply (zenon_L189_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Ha. zenon_intro zenon_H16b. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H101. zenon_intro zenon_H16c. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H102. zenon_intro zenon_H100. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H3e | zenon_intro zenon_H10e ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.01 apply (zenon_L197_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.84/1.01 apply (zenon_L198_); trivial. % 0.84/1.01 apply (zenon_L196_); trivial. % 0.84/1.01 apply (zenon_L199_); trivial. % 0.84/1.01 apply (zenon_L61_); trivial. % 0.84/1.01 apply (zenon_L216_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H34c). zenon_intro zenon_Ha. zenon_intro zenon_H350. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H350). zenon_intro zenon_H175. zenon_intro zenon_H351. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H351). zenon_intro zenon_H176. zenon_intro zenon_H174. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H23e ]. % 0.84/1.01 apply (zenon_L217_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H240. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H11a. zenon_intro zenon_H241. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H3e | zenon_intro zenon_H10e ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H16f | zenon_intro zenon_H19c ]. % 0.84/1.01 apply (zenon_L219_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Ha. zenon_intro zenon_H19d. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H195. zenon_intro zenon_H19e. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H193. zenon_intro zenon_H194. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.84/1.01 apply (zenon_L223_); trivial. % 0.84/1.01 apply (zenon_L196_); trivial. % 0.84/1.01 apply (zenon_L225_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H64. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H59. zenon_intro zenon_H65. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H16f | zenon_intro zenon_H19c ]. % 0.84/1.01 apply (zenon_L219_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Ha. zenon_intro zenon_H19d. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H195. zenon_intro zenon_H19e. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H193. zenon_intro zenon_H194. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.84/1.01 apply (zenon_L228_); trivial. % 0.84/1.01 apply (zenon_L231_); trivial. % 0.84/1.01 apply (zenon_L234_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H34a). zenon_intro zenon_Ha. zenon_intro zenon_H354. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H354). zenon_intro zenon_H24d. zenon_intro zenon_H355. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H355). zenon_intro zenon_H24b. zenon_intro zenon_H24c. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H13e | zenon_intro zenon_H34b ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1b | zenon_intro zenon_H34c ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H34d ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H17 | zenon_intro zenon_H16a ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/1.01 apply (zenon_L12_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.01 apply (zenon_L248_); trivial. % 0.84/1.01 apply (zenon_L250_); trivial. % 0.84/1.01 apply (zenon_L24_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Ha. zenon_intro zenon_H16b. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H101. zenon_intro zenon_H16c. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H102. zenon_intro zenon_H100. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/1.01 apply (zenon_L12_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.01 apply (zenon_L251_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H6a | zenon_intro zenon_Hc5 ]. % 0.84/1.01 apply (zenon_L27_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc6. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7a. zenon_intro zenon_Hc7. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.84/1.01 apply (zenon_L249_); trivial. % 0.84/1.01 apply (zenon_L78_); trivial. % 0.84/1.01 apply (zenon_L49_); trivial. % 0.84/1.01 apply (zenon_L247_); trivial. % 0.84/1.01 apply (zenon_L252_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H34d). zenon_intro zenon_Ha. zenon_intro zenon_H34e. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H34e). zenon_intro zenon_H14d. zenon_intro zenon_H34f. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H34f). zenon_intro zenon_H14e. zenon_intro zenon_H14f. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H23e ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H17 | zenon_intro zenon_H16a ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H15 | zenon_intro zenon_H124 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.01 apply (zenon_L265_); trivial. % 0.84/1.01 apply (zenon_L271_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Ha. zenon_intro zenon_H125. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H22. zenon_intro zenon_H126. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H23. zenon_intro zenon_H21. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H3e | zenon_intro zenon_H10e ]. % 0.84/1.01 apply (zenon_L25_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Ha. zenon_intro zenon_H110. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He9. zenon_intro zenon_H111. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_He7. zenon_intro zenon_He8. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.01 apply (zenon_L265_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf3. zenon_intro zenon_Hfd. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.01 apply (zenon_L16_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H6a | zenon_intro zenon_Hc5 ]. % 0.84/1.01 apply (zenon_L27_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc6. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7a. zenon_intro zenon_Hc7. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.84/1.01 apply (zenon_L272_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H144). zenon_intro zenon_Ha. zenon_intro zenon_H146. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H146). zenon_intro zenon_H135. zenon_intro zenon_H147. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H147). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.84/1.01 apply (zenon_L75_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_Ha. zenon_intro zenon_Hb2. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hb2). zenon_intro zenon_H9f. zenon_intro zenon_Hb3. % 0.84/1.01 apply (zenon_and_s _ _ zenon_Hb3). zenon_intro zenon_H9d. zenon_intro zenon_H9e. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H268 ]. % 0.84/1.01 apply (zenon_L260_); trivial. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H18 | zenon_intro zenon_H10d ]. % 0.84/1.01 exact (zenon_H17 zenon_H18). % 0.84/1.01 exact (zenon_H10c zenon_H10d). % 0.84/1.01 apply (zenon_L263_); trivial. % 0.84/1.01 apply (zenon_L247_); trivial. % 0.84/1.01 apply (zenon_L24_); trivial. % 0.84/1.01 apply (zenon_L91_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H240. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H11a. zenon_intro zenon_H241. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H17 | zenon_intro zenon_H16a ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H15 | zenon_intro zenon_H124 ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.01 apply (zenon_L277_); trivial. % 0.84/1.01 apply (zenon_L24_); trivial. % 0.84/1.01 apply (zenon_L271_); trivial. % 0.84/1.01 apply (zenon_L67_); trivial. % 0.84/1.01 apply (zenon_L91_); trivial. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H34c). zenon_intro zenon_Ha. zenon_intro zenon_H350. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H350). zenon_intro zenon_H175. zenon_intro zenon_H351. % 0.84/1.01 apply (zenon_and_s _ _ zenon_H351). zenon_intro zenon_H176. zenon_intro zenon_H174. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H34d ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H23e ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H17 | zenon_intro zenon_H16a ]. % 0.84/1.01 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H15 | zenon_intro zenon_H124 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H3e | zenon_intro zenon_H10e ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.02 apply (zenon_L288_); trivial. % 0.84/1.02 apply (zenon_L311_); trivial. % 0.84/1.02 apply (zenon_L271_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Ha. zenon_intro zenon_H110. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He9. zenon_intro zenon_H111. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_He7. zenon_intro zenon_He8. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.02 apply (zenon_L288_); trivial. % 0.84/1.02 apply (zenon_L320_); trivial. % 0.84/1.02 apply (zenon_L271_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Ha. zenon_intro zenon_H125. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H22. zenon_intro zenon_H126. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H23. zenon_intro zenon_H21. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H3e | zenon_intro zenon_H10e ]. % 0.84/1.02 apply (zenon_L104_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Ha. zenon_intro zenon_H110. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He9. zenon_intro zenon_H111. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_He7. zenon_intro zenon_He8. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H16f | zenon_intro zenon_H19c ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/1.02 apply (zenon_L171_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.02 apply (zenon_L281_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.84/1.02 apply (zenon_L285_); trivial. % 0.84/1.02 apply (zenon_L323_); trivial. % 0.84/1.02 apply (zenon_L325_); trivial. % 0.84/1.02 apply (zenon_L332_); trivial. % 0.84/1.02 apply (zenon_L339_); trivial. % 0.84/1.02 apply (zenon_L103_); trivial. % 0.84/1.02 apply (zenon_L354_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.84/1.02 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf3. zenon_intro zenon_Hfd. % 0.84/1.02 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.02 apply (zenon_L270_); trivial. % 0.84/1.02 apply (zenon_L339_); trivial. % 0.84/1.02 apply (zenon_L365_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Ha. zenon_intro zenon_H16b. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H101. zenon_intro zenon_H16c. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H102. zenon_intro zenon_H100. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H15 | zenon_intro zenon_H124 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/1.02 apply (zenon_L171_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.02 apply (zenon_L251_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.84/1.02 apply (zenon_L368_); trivial. % 0.84/1.02 apply (zenon_L369_); trivial. % 0.84/1.02 apply (zenon_L373_); trivial. % 0.84/1.02 apply (zenon_L375_); trivial. % 0.84/1.02 apply (zenon_L376_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.84/1.02 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf3. zenon_intro zenon_Hfd. % 0.84/1.02 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.02 apply (zenon_L270_); trivial. % 0.84/1.02 apply (zenon_L375_); trivial. % 0.84/1.02 apply (zenon_L377_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H240. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H11a. zenon_intro zenon_H241. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H17 | zenon_intro zenon_H16a ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H15 | zenon_intro zenon_H124 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H3e | zenon_intro zenon_H10e ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.84/1.02 apply (zenon_L378_); trivial. % 0.84/1.02 apply (zenon_L379_); trivial. % 0.84/1.02 apply (zenon_L247_); trivial. % 0.84/1.02 apply (zenon_L380_); trivial. % 0.84/1.02 apply (zenon_L62_); trivial. % 0.84/1.02 apply (zenon_L311_); trivial. % 0.84/1.02 apply (zenon_L271_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Ha. zenon_intro zenon_H110. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He9. zenon_intro zenon_H111. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_He7. zenon_intro zenon_He8. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.84/1.02 apply (zenon_L378_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_Hd5). zenon_intro zenon_Ha. zenon_intro zenon_Hd7. % 0.84/1.02 apply (zenon_and_s _ _ zenon_Hd7). zenon_intro zenon_Hca. zenon_intro zenon_Hd8. % 0.84/1.02 apply (zenon_and_s _ _ zenon_Hd8). zenon_intro zenon_Hcb. zenon_intro zenon_Hcc. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H16d | zenon_intro zenon_H190 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1bb ]. % 0.84/1.02 apply (zenon_L109_); trivial. % 0.84/1.02 apply (zenon_L381_); trivial. % 0.84/1.02 apply (zenon_L107_); trivial. % 0.84/1.02 apply (zenon_L247_); trivial. % 0.84/1.02 apply (zenon_L380_); trivial. % 0.84/1.02 apply (zenon_L62_); trivial. % 0.84/1.02 apply (zenon_L320_); trivial. % 0.84/1.02 apply (zenon_L271_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Ha. zenon_intro zenon_H125. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H22. zenon_intro zenon_H126. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H23. zenon_intro zenon_H21. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H3e | zenon_intro zenon_H10e ]. % 0.84/1.02 apply (zenon_L104_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Ha. zenon_intro zenon_H110. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He9. zenon_intro zenon_H111. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_He7. zenon_intro zenon_He8. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.02 apply (zenon_L66_); trivial. % 0.84/1.02 apply (zenon_L354_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.84/1.02 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf3. zenon_intro zenon_Hfd. % 0.84/1.02 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.02 apply (zenon_L66_); trivial. % 0.84/1.02 apply (zenon_L365_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Ha. zenon_intro zenon_H16b. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H101. zenon_intro zenon_H16c. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H102. zenon_intro zenon_H100. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H15 | zenon_intro zenon_H124 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/1.02 apply (zenon_L171_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.02 apply (zenon_L251_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.84/1.02 apply (zenon_L368_); trivial. % 0.84/1.02 apply (zenon_L153_); trivial. % 0.84/1.02 apply (zenon_L373_); trivial. % 0.84/1.02 apply (zenon_L384_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H64. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H59. zenon_intro zenon_H65. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H16f | zenon_intro zenon_H19c ]. % 0.84/1.02 apply (zenon_L166_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Ha. zenon_intro zenon_H19d. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H195. zenon_intro zenon_H19e. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H193. zenon_intro zenon_H194. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.02 apply (zenon_L389_); trivial. % 0.84/1.02 apply (zenon_L392_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.84/1.02 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf3. zenon_intro zenon_Hfd. % 0.84/1.02 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.02 apply (zenon_L270_); trivial. % 0.84/1.02 apply (zenon_L384_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H64. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H59. zenon_intro zenon_H65. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H16f | zenon_intro zenon_H19c ]. % 0.84/1.02 apply (zenon_L166_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Ha. zenon_intro zenon_H19d. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H195. zenon_intro zenon_H19e. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H193. zenon_intro zenon_H194. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.02 apply (zenon_L270_); trivial. % 0.84/1.02 apply (zenon_L392_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Ha. zenon_intro zenon_H125. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H22. zenon_intro zenon_H126. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H23. zenon_intro zenon_H21. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H3e | zenon_intro zenon_H10e ]. % 0.84/1.02 apply (zenon_L104_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Ha. zenon_intro zenon_H110. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He9. zenon_intro zenon_H111. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_He7. zenon_intro zenon_He8. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.02 apply (zenon_L66_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H64. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H59. zenon_intro zenon_H65. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H16f | zenon_intro zenon_H19c ]. % 0.84/1.02 apply (zenon_L393_); trivial. % 0.84/1.02 apply (zenon_L396_); trivial. % 0.84/1.02 apply (zenon_L398_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H34d). zenon_intro zenon_Ha. zenon_intro zenon_H34e. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H34e). zenon_intro zenon_H14d. zenon_intro zenon_H34f. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H34f). zenon_intro zenon_H14e. zenon_intro zenon_H14f. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H23e ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H17 | zenon_intro zenon_H16a ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H15 | zenon_intro zenon_H124 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.02 apply (zenon_L264_); trivial. % 0.84/1.02 apply (zenon_L415_); trivial. % 0.84/1.02 apply (zenon_L271_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Ha. zenon_intro zenon_H125. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H22. zenon_intro zenon_H126. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H23. zenon_intro zenon_H21. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H3e | zenon_intro zenon_H10e ]. % 0.84/1.02 apply (zenon_L104_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Ha. zenon_intro zenon_H110. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He9. zenon_intro zenon_H111. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_He7. zenon_intro zenon_He8. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H16f | zenon_intro zenon_H19c ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/1.02 apply (zenon_L171_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.84/1.02 apply (zenon_L418_); trivial. % 0.84/1.02 apply (zenon_L323_); trivial. % 0.84/1.02 apply (zenon_L419_); trivial. % 0.84/1.02 apply (zenon_L424_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Ha. zenon_intro zenon_H114. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hd. zenon_intro zenon_H115. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H6a | zenon_intro zenon_Hc5 ]. % 0.84/1.02 apply (zenon_L27_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc6. % 0.84/1.02 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7a. zenon_intro zenon_Hc7. % 0.84/1.02 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.84/1.02 apply (zenon_L425_); trivial. % 0.84/1.02 apply (zenon_L261_); trivial. % 0.84/1.02 apply (zenon_L323_); trivial. % 0.84/1.02 apply (zenon_L247_); trivial. % 0.84/1.02 apply (zenon_L103_); trivial. % 0.84/1.02 apply (zenon_L430_); trivial. % 0.84/1.02 apply (zenon_L433_); trivial. % 0.84/1.02 apply (zenon_L436_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H240. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H11a. zenon_intro zenon_H241. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H17 | zenon_intro zenon_H16a ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H15 | zenon_intro zenon_H124 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.02 apply (zenon_L277_); trivial. % 0.84/1.02 apply (zenon_L415_); trivial. % 0.84/1.02 apply (zenon_L271_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Ha. zenon_intro zenon_H125. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H22. zenon_intro zenon_H126. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H23. zenon_intro zenon_H21. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.02 apply (zenon_L66_); trivial. % 0.84/1.02 apply (zenon_L430_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.84/1.02 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf3. zenon_intro zenon_Hfd. % 0.84/1.02 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.02 apply (zenon_L66_); trivial. % 0.84/1.02 apply (zenon_L432_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Ha. zenon_intro zenon_H16b. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H101. zenon_intro zenon_H16c. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H102. zenon_intro zenon_H100. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H15 | zenon_intro zenon_H124 ]. % 0.84/1.02 apply (zenon_L435_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Ha. zenon_intro zenon_H125. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H22. zenon_intro zenon_H126. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H23. zenon_intro zenon_H21. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H3e | zenon_intro zenon_H10e ]. % 0.84/1.02 apply (zenon_L104_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Ha. zenon_intro zenon_H110. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He9. zenon_intro zenon_H111. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_He7. zenon_intro zenon_He8. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.02 apply (zenon_L66_); trivial. % 0.84/1.02 apply (zenon_L440_); trivial. % 0.84/1.02 apply (zenon_L398_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H34b). zenon_intro zenon_Ha. zenon_intro zenon_H352. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H352). zenon_intro zenon_H21c. zenon_intro zenon_H353. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H353). zenon_intro zenon_H21a. zenon_intro zenon_H21b. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1b | zenon_intro zenon_H34c ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H23e ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H17 | zenon_intro zenon_H16a ]. % 0.84/1.02 apply (zenon_L189_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Ha. zenon_intro zenon_H16b. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H101. zenon_intro zenon_H16c. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H102. zenon_intro zenon_H100. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/1.02 apply (zenon_L12_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.02 apply (zenon_L251_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.84/1.02 apply (zenon_L198_); trivial. % 0.84/1.02 apply (zenon_L247_); trivial. % 0.84/1.02 apply (zenon_L199_); trivial. % 0.84/1.02 apply (zenon_L216_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H34c). zenon_intro zenon_Ha. zenon_intro zenon_H350. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H350). zenon_intro zenon_H175. zenon_intro zenon_H351. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H351). zenon_intro zenon_H176. zenon_intro zenon_H174. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H34d ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H23e ]. % 0.84/1.02 apply (zenon_L217_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H240. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H11a. zenon_intro zenon_H241. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H17 | zenon_intro zenon_H16a ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H15 | zenon_intro zenon_H124 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H16f | zenon_intro zenon_H19c ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/1.02 apply (zenon_L171_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H16d | zenon_intro zenon_H190 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1bb ]. % 0.84/1.02 apply (zenon_L109_); trivial. % 0.84/1.02 apply (zenon_L442_); trivial. % 0.84/1.02 apply (zenon_L218_); trivial. % 0.84/1.02 apply (zenon_L443_); trivial. % 0.84/1.02 apply (zenon_L62_); trivial. % 0.84/1.02 apply (zenon_L447_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H64. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H59. zenon_intro zenon_H65. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H16f | zenon_intro zenon_H19c ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.84/1.02 apply (zenon_L449_); trivial. % 0.84/1.02 apply (zenon_L450_); trivial. % 0.84/1.02 apply (zenon_L455_); trivial. % 0.84/1.02 apply (zenon_L457_); trivial. % 0.84/1.02 apply (zenon_L477_); trivial. % 0.84/1.02 apply (zenon_L480_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H34d). zenon_intro zenon_Ha. zenon_intro zenon_H34e. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H34e). zenon_intro zenon_H14d. zenon_intro zenon_H34f. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H34f). zenon_intro zenon_H14e. zenon_intro zenon_H14f. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H23e ]. % 0.84/1.02 apply (zenon_L217_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H240. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H11a. zenon_intro zenon_H241. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H17 | zenon_intro zenon_H16a ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H15 | zenon_intro zenon_H124 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H3e | zenon_intro zenon_H10e ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/1.02 apply (zenon_L171_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H219 | zenon_intro zenon_H237 ]. % 0.84/1.02 apply (zenon_L188_); trivial. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H117 | zenon_intro zenon_H82 ]. % 0.84/1.02 apply (zenon_L64_); trivial. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H228 | zenon_intro zenon_H356 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H14c | zenon_intro zenon_H29d ]. % 0.84/1.02 apply (zenon_L81_); trivial. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H3f ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H40 | zenon_intro zenon_H25d ]. % 0.84/1.02 apply (zenon_L19_); trivial. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H88 | zenon_intro zenon_H70 ]. % 0.84/1.02 apply (zenon_L224_); trivial. % 0.84/1.02 apply (zenon_L298_); trivial. % 0.84/1.02 exact (zenon_H3e zenon_H3f). % 0.84/1.02 apply (zenon_or_s _ _ zenon_H356); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H40 ]. % 0.84/1.02 apply (zenon_L482_); trivial. % 0.84/1.02 apply (zenon_L19_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_Ha. zenon_intro zenon_H209. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H200. zenon_intro zenon_H20a. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H20a). zenon_intro zenon_H201. zenon_intro zenon_H1ff. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.02 apply (zenon_L444_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1d5 ]. % 0.84/1.02 apply (zenon_L484_); trivial. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H78 | zenon_intro zenon_Hae ]. % 0.84/1.02 apply (zenon_L420_); trivial. % 0.84/1.02 exact (zenon_Had zenon_Hae). % 0.84/1.02 apply (zenon_L456_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H64. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H59. zenon_intro zenon_H65. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H16f | zenon_intro zenon_H19c ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/1.02 apply (zenon_L171_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.84/1.02 apply (zenon_L449_); trivial. % 0.84/1.02 apply (zenon_L486_); trivial. % 0.84/1.02 apply (zenon_L176_); trivial. % 0.84/1.02 apply (zenon_L456_); trivial. % 0.84/1.02 apply (zenon_L455_); trivial. % 0.84/1.02 apply (zenon_L457_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_Ha. zenon_intro zenon_H110. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H110). zenon_intro zenon_He9. zenon_intro zenon_H111. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H111). zenon_intro zenon_He7. zenon_intro zenon_He8. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/1.02 apply (zenon_L171_); trivial. % 0.84/1.02 apply (zenon_L488_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_Ha. zenon_intro zenon_H209. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H200. zenon_intro zenon_H20a. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H20a). zenon_intro zenon_H201. zenon_intro zenon_H1ff. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.02 apply (zenon_L444_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.84/1.02 apply (zenon_L489_); trivial. % 0.84/1.02 apply (zenon_L491_); trivial. % 0.84/1.02 apply (zenon_L456_); trivial. % 0.84/1.02 apply (zenon_L492_); trivial. % 0.84/1.02 apply (zenon_L494_); trivial. % 0.84/1.02 apply (zenon_L477_); trivial. % 0.84/1.02 apply (zenon_L480_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H349). zenon_intro zenon_Ha. zenon_intro zenon_H357. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_H2a0. zenon_intro zenon_H358. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_H29e. zenon_intro zenon_H29f. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_H3 | zenon_intro zenon_H34a ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H13e | zenon_intro zenon_H34b ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1b | zenon_intro zenon_H34c ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H34d ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H17 | zenon_intro zenon_H16a ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H15 | zenon_intro zenon_H124 ]. % 0.84/1.02 apply (zenon_L500_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Ha. zenon_intro zenon_H125. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H22. zenon_intro zenon_H126. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H23. zenon_intro zenon_H21. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/1.02 apply (zenon_L12_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.02 apply (zenon_L16_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_H6a | zenon_intro zenon_Hc5 ]. % 0.84/1.02 apply (zenon_L27_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_Hc5). zenon_intro zenon_Ha. zenon_intro zenon_Hc6. % 0.84/1.02 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_H7a. zenon_intro zenon_Hc7. % 0.84/1.02 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H7b. zenon_intro zenon_H79. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.84/1.02 apply (zenon_L32_); trivial. % 0.84/1.02 apply (zenon_L502_); trivial. % 0.84/1.02 apply (zenon_L504_); trivial. % 0.84/1.02 apply (zenon_L49_); trivial. % 0.84/1.02 apply (zenon_L24_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Ha. zenon_intro zenon_H16b. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H101. zenon_intro zenon_H16c. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H102. zenon_intro zenon_H100. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/1.02 apply (zenon_L12_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H67 | zenon_intro zenon_Hd5 ]. % 0.84/1.02 apply (zenon_L507_); trivial. % 0.84/1.02 apply (zenon_L49_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H34d). zenon_intro zenon_Ha. zenon_intro zenon_H34e. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H34e). zenon_intro zenon_H14d. zenon_intro zenon_H34f. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H34f). zenon_intro zenon_H14e. zenon_intro zenon_H14f. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H23e ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H17 | zenon_intro zenon_H16a ]. % 0.84/1.02 apply (zenon_L510_); trivial. % 0.84/1.02 apply (zenon_L91_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H240. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H11a. zenon_intro zenon_H241. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H17 | zenon_intro zenon_H16a ]. % 0.84/1.02 apply (zenon_L511_); trivial. % 0.84/1.02 apply (zenon_L91_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H34c). zenon_intro zenon_Ha. zenon_intro zenon_H350. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H350). zenon_intro zenon_H175. zenon_intro zenon_H351. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H351). zenon_intro zenon_H176. zenon_intro zenon_H174. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H34d ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H23e ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H17 | zenon_intro zenon_H16a ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H15 | zenon_intro zenon_H124 ]. % 0.84/1.02 apply (zenon_L515_); trivial. % 0.84/1.02 apply (zenon_L523_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Ha. zenon_intro zenon_H16b. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H101. zenon_intro zenon_H16c. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H102. zenon_intro zenon_H100. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H15 | zenon_intro zenon_H124 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/1.02 apply (zenon_L374_); trivial. % 0.84/1.02 apply (zenon_L526_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.84/1.02 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf3. zenon_intro zenon_Hfd. % 0.84/1.02 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H16f | zenon_intro zenon_H19c ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.02 apply (zenon_L528_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Ha. zenon_intro zenon_H114. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hd. zenon_intro zenon_H115. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/1.02 apply (zenon_L374_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.84/1.02 apply (zenon_L531_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H1e0). zenon_intro zenon_Ha. zenon_intro zenon_H1e1. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H1e1). zenon_intro zenon_H1b3. zenon_intro zenon_H1e2. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_H1b4. zenon_intro zenon_H1b2. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H16d | zenon_intro zenon_H190 ]. % 0.84/1.02 apply (zenon_L113_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_Ha. zenon_intro zenon_H191. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H188. zenon_intro zenon_H192. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H189. zenon_intro zenon_H187. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.84/1.02 apply (zenon_L98_); trivial. % 0.84/1.02 apply (zenon_L518_); trivial. % 0.84/1.02 apply (zenon_L532_); trivial. % 0.84/1.02 apply (zenon_L527_); trivial. % 0.84/1.02 apply (zenon_L103_); trivial. % 0.84/1.02 apply (zenon_L523_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H240. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H11a. zenon_intro zenon_H241. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H17 | zenon_intro zenon_H16a ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H15 | zenon_intro zenon_H124 ]. % 0.84/1.02 apply (zenon_L515_); trivial. % 0.84/1.02 apply (zenon_L543_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Ha. zenon_intro zenon_H16b. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H101. zenon_intro zenon_H16c. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H102. zenon_intro zenon_H100. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.02 apply (zenon_L514_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Ha. zenon_intro zenon_H114. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hd. zenon_intro zenon_H115. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/1.02 apply (zenon_L544_); trivial. % 0.84/1.02 apply (zenon_L526_); trivial. % 0.84/1.02 apply (zenon_L548_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H34d). zenon_intro zenon_Ha. zenon_intro zenon_H34e. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H34e). zenon_intro zenon_H14d. zenon_intro zenon_H34f. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H34f). zenon_intro zenon_H14e. zenon_intro zenon_H14f. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.02 apply (zenon_L514_); trivial. % 0.84/1.02 apply (zenon_L549_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H34b). zenon_intro zenon_Ha. zenon_intro zenon_H352. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H352). zenon_intro zenon_H21c. zenon_intro zenon_H353. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H353). zenon_intro zenon_H21a. zenon_intro zenon_H21b. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1b | zenon_intro zenon_H34c ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H23e ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H17 | zenon_intro zenon_H16a ]. % 0.84/1.02 apply (zenon_L189_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Ha. zenon_intro zenon_H16b. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H101. zenon_intro zenon_H16c. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H102. zenon_intro zenon_H100. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H3e | zenon_intro zenon_H10e ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.02 apply (zenon_L552_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H64. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H59. zenon_intro zenon_H65. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H5a. zenon_intro zenon_H58. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H273 | zenon_intro zenon_H28a ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H228 | zenon_intro zenon_H234 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H2bf ]. % 0.84/1.02 apply (zenon_L553_); trivial. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H1c | zenon_intro zenon_H1fc ]. % 0.84/1.02 exact (zenon_H1b zenon_H1c). % 0.84/1.02 exact (zenon_H1fb zenon_H1fc). % 0.84/1.02 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H4 | zenon_intro zenon_H3f ]. % 0.84/1.02 exact (zenon_H3 zenon_H4). % 0.84/1.02 exact (zenon_H3e zenon_H3f). % 0.84/1.02 apply (zenon_L554_); trivial. % 0.84/1.02 apply (zenon_L513_); trivial. % 0.84/1.02 apply (zenon_L555_); trivial. % 0.84/1.02 apply (zenon_L556_); trivial. % 0.84/1.02 apply (zenon_L562_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H34c). zenon_intro zenon_Ha. zenon_intro zenon_H350. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H350). zenon_intro zenon_H175. zenon_intro zenon_H351. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H351). zenon_intro zenon_H176. zenon_intro zenon_H174. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H23e ]. % 0.84/1.02 apply (zenon_L217_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H240. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H11a. zenon_intro zenon_H241. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H17 | zenon_intro zenon_H16a ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H15 | zenon_intro zenon_H124 ]. % 0.84/1.02 apply (zenon_L515_); trivial. % 0.84/1.02 apply (zenon_L569_); trivial. % 0.84/1.02 apply (zenon_L574_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H34a). zenon_intro zenon_Ha. zenon_intro zenon_H354. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H354). zenon_intro zenon_H24d. zenon_intro zenon_H355. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H355). zenon_intro zenon_H24b. zenon_intro zenon_H24c. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H2c6); [ zenon_intro zenon_H13e | zenon_intro zenon_H34b ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1b | zenon_intro zenon_H34c ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H17 | zenon_intro zenon_H16a ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H15 | zenon_intro zenon_H124 ]. % 0.84/1.02 apply (zenon_L500_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Ha. zenon_intro zenon_H125. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H22. zenon_intro zenon_H126. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H23. zenon_intro zenon_H21. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/1.02 apply (zenon_L12_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_Ha. zenon_intro zenon_H55. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H43. zenon_intro zenon_H56. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H41. zenon_intro zenon_H42. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.02 apply (zenon_L16_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.84/1.02 apply (zenon_L551_); trivial. % 0.84/1.02 apply (zenon_L247_); trivial. % 0.84/1.02 apply (zenon_L24_); trivial. % 0.84/1.02 apply (zenon_L587_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H34c). zenon_intro zenon_Ha. zenon_intro zenon_H350. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H350). zenon_intro zenon_H175. zenon_intro zenon_H351. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H351). zenon_intro zenon_H176. zenon_intro zenon_H174. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H34d ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H23e ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H17 | zenon_intro zenon_H16a ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H15 | zenon_intro zenon_H124 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H16f | zenon_intro zenon_H19c ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.84/1.02 apply (zenon_L533_); trivial. % 0.84/1.02 apply (zenon_L332_); trivial. % 0.84/1.02 apply (zenon_L62_); trivial. % 0.84/1.02 apply (zenon_L103_); trivial. % 0.84/1.02 apply (zenon_L588_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.84/1.02 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf3. zenon_intro zenon_Hfd. % 0.84/1.02 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.02 apply (zenon_L281_); trivial. % 0.84/1.02 apply (zenon_L527_); trivial. % 0.84/1.02 apply (zenon_L592_); trivial. % 0.84/1.02 apply (zenon_L541_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Ha. zenon_intro zenon_H125. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H22. zenon_intro zenon_H126. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H23. zenon_intro zenon_H21. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.02 apply (zenon_L598_); trivial. % 0.84/1.02 apply (zenon_L535_); trivial. % 0.84/1.02 apply (zenon_L542_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Ha. zenon_intro zenon_H16b. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H101. zenon_intro zenon_H16c. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H102. zenon_intro zenon_H100. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H15 | zenon_intro zenon_H124 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H16f | zenon_intro zenon_H19c ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.84/1.02 apply (zenon_L601_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_Ha. zenon_intro zenon_H209. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H200. zenon_intro zenon_H20a. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H20a). zenon_intro zenon_H201. zenon_intro zenon_H1ff. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H273 | zenon_intro zenon_H28a ]. % 0.84/1.02 apply (zenon_L386_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_Ha. zenon_intro zenon_H28b. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H279. zenon_intro zenon_H28c. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H278. zenon_intro zenon_H277. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.02 apply (zenon_L370_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H19f | zenon_intro zenon_H1e0 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H16d | zenon_intro zenon_H190 ]. % 0.84/1.02 apply (zenon_L329_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_Ha. zenon_intro zenon_H191. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_H188. zenon_intro zenon_H192. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_H189. zenon_intro zenon_H187. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.84/1.02 apply (zenon_L604_); trivial. % 0.84/1.02 apply (zenon_L595_); trivial. % 0.84/1.02 apply (zenon_L247_); trivial. % 0.84/1.02 apply (zenon_L582_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Ha. zenon_intro zenon_H114. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hd. zenon_intro zenon_H115. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H273 | zenon_intro zenon_H28a ]. % 0.84/1.02 apply (zenon_L605_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_Ha. zenon_intro zenon_H28b. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H279. zenon_intro zenon_H28c. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H278. zenon_intro zenon_H277. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.02 apply (zenon_L370_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.84/1.02 apply (zenon_L606_); trivial. % 0.84/1.02 apply (zenon_L521_); trivial. % 0.84/1.02 apply (zenon_L600_); trivial. % 0.84/1.02 apply (zenon_L103_); trivial. % 0.84/1.02 apply (zenon_L610_); trivial. % 0.84/1.02 apply (zenon_L611_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Ha. zenon_intro zenon_H125. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H22. zenon_intro zenon_H126. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H23. zenon_intro zenon_H21. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H16f | zenon_intro zenon_H19c ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.84/1.02 apply (zenon_L601_); trivial. % 0.84/1.02 apply (zenon_L597_); trivial. % 0.84/1.02 apply (zenon_L522_); trivial. % 0.84/1.02 apply (zenon_L103_); trivial. % 0.84/1.02 apply (zenon_L535_); trivial. % 0.84/1.02 apply (zenon_L542_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H240. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H11a. zenon_intro zenon_H241. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H17 | zenon_intro zenon_H16a ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H15 | zenon_intro zenon_H124 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.84/1.02 apply (zenon_L533_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_Ha. zenon_intro zenon_H209. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H200. zenon_intro zenon_H20a. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H20a). zenon_intro zenon_H201. zenon_intro zenon_H1ff. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.02 apply (zenon_L613_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H74 | zenon_intro zenon_Haf ]. % 0.84/1.02 apply (zenon_L150_); trivial. % 0.84/1.02 apply (zenon_L612_); trivial. % 0.84/1.02 apply (zenon_L62_); trivial. % 0.84/1.02 apply (zenon_L588_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.84/1.02 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf3. zenon_intro zenon_Hfd. % 0.84/1.02 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/1.02 apply (zenon_L171_); trivial. % 0.84/1.02 apply (zenon_L614_); trivial. % 0.84/1.02 apply (zenon_L615_); trivial. % 0.84/1.02 apply (zenon_L592_); trivial. % 0.84/1.02 apply (zenon_L541_); trivial. % 0.84/1.02 apply (zenon_L543_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Ha. zenon_intro zenon_H16b. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H101. zenon_intro zenon_H16c. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H102. zenon_intro zenon_H100. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H15 | zenon_intro zenon_H124 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.84/1.02 apply (zenon_L601_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_Ha. zenon_intro zenon_H209. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H200. zenon_intro zenon_H20a. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H20a). zenon_intro zenon_H201. zenon_intro zenon_H1ff. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H273 | zenon_intro zenon_H28a ]. % 0.84/1.02 apply (zenon_L386_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_Ha. zenon_intro zenon_H28b. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H279. zenon_intro zenon_H28c. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H278. zenon_intro zenon_H277. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H96 | zenon_intro zenon_He3 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H98 | zenon_intro zenon_Hc0 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.84/1.02 apply (zenon_L617_); trivial. % 0.84/1.02 apply (zenon_L618_); trivial. % 0.84/1.02 apply (zenon_L620_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_He3). zenon_intro zenon_Ha. zenon_intro zenon_He4. % 0.84/1.02 apply (zenon_and_s _ _ zenon_He4). zenon_intro zenon_Hdc. zenon_intro zenon_He5. % 0.84/1.02 apply (zenon_and_s _ _ zenon_He5). zenon_intro zenon_Hda. zenon_intro zenon_Hdb. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/1.02 apply (zenon_L623_); trivial. % 0.84/1.02 apply (zenon_L582_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_Ha. zenon_intro zenon_H114. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_Hd. zenon_intro zenon_H115. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H115). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H273 | zenon_intro zenon_H28a ]. % 0.84/1.02 apply (zenon_L605_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_Ha. zenon_intro zenon_H28b. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_H279. zenon_intro zenon_H28c. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H278. zenon_intro zenon_H277. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H1d | zenon_intro zenon_H54 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.02 apply (zenon_L370_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_Ha. zenon_intro zenon_H4d. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H33. zenon_intro zenon_H4e. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H4f. zenon_intro zenon_H31. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H132 | zenon_intro zenon_H144 ]. % 0.84/1.02 apply (zenon_L624_); trivial. % 0.84/1.02 apply (zenon_L521_); trivial. % 0.84/1.02 apply (zenon_L600_); trivial. % 0.84/1.02 apply (zenon_L610_); trivial. % 0.84/1.02 apply (zenon_L611_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Ha. zenon_intro zenon_H125. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H22. zenon_intro zenon_H126. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H23. zenon_intro zenon_H21. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.02 apply (zenon_L66_); trivial. % 0.84/1.02 apply (zenon_L610_); trivial. % 0.84/1.02 apply (zenon_L542_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H34d). zenon_intro zenon_Ha. zenon_intro zenon_H34e. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H34e). zenon_intro zenon_H14d. zenon_intro zenon_H34f. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H34f). zenon_intro zenon_H14e. zenon_intro zenon_H14f. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H23e ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H17 | zenon_intro zenon_H16a ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.84/1.02 apply (zenon_L626_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_Ha. zenon_intro zenon_H209. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H200. zenon_intro zenon_H20a. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H20a). zenon_intro zenon_H201. zenon_intro zenon_H1ff. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.02 apply (zenon_L629_); trivial. % 0.84/1.02 apply (zenon_L631_); trivial. % 0.84/1.02 apply (zenon_L549_); trivial. % 0.84/1.02 apply (zenon_L632_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.84/1.02 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf3. zenon_intro zenon_Hfd. % 0.84/1.02 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.84/1.02 apply (zenon_L626_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_Ha. zenon_intro zenon_H209. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H200. zenon_intro zenon_H20a. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H20a). zenon_intro zenon_H201. zenon_intro zenon_H1ff. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.02 apply (zenon_L629_); trivial. % 0.84/1.02 apply (zenon_L527_); trivial. % 0.84/1.02 apply (zenon_L549_); trivial. % 0.84/1.02 apply (zenon_L541_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Ha. zenon_intro zenon_H16b. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H101. zenon_intro zenon_H16c. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H102. zenon_intro zenon_H100. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H127); [ zenon_intro zenon_H15 | zenon_intro zenon_H124 ]. % 0.84/1.02 apply (zenon_L636_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H124). zenon_intro zenon_Ha. zenon_intro zenon_H125. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H125). zenon_intro zenon_H22. zenon_intro zenon_H126. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_H23. zenon_intro zenon_H21. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.02 apply (zenon_L638_); trivial. % 0.84/1.02 apply (zenon_L645_); trivial. % 0.84/1.02 apply (zenon_L542_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H240. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H11a. zenon_intro zenon_H241. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.84/1.02 apply (zenon_L626_); trivial. % 0.84/1.02 apply (zenon_L646_); trivial. % 0.84/1.02 apply (zenon_L549_); trivial. % 0.84/1.02 apply (zenon_L632_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_Hfa). zenon_intro zenon_Ha. zenon_intro zenon_Hfc. % 0.84/1.02 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_Hf3. zenon_intro zenon_Hfd. % 0.84/1.02 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hf1. zenon_intro zenon_Hf2. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.84/1.02 apply (zenon_L626_); trivial. % 0.84/1.02 apply (zenon_L615_); trivial. % 0.84/1.02 apply (zenon_L549_); trivial. % 0.84/1.02 apply (zenon_L541_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H34b). zenon_intro zenon_Ha. zenon_intro zenon_H352. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H352). zenon_intro zenon_H21c. zenon_intro zenon_H353. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H353). zenon_intro zenon_H21a. zenon_intro zenon_H21b. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H2c8); [ zenon_intro zenon_H1b | zenon_intro zenon_H34c ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H23e ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H17 | zenon_intro zenon_H16a ]. % 0.84/1.02 apply (zenon_L189_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Ha. zenon_intro zenon_H16b. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H16b). zenon_intro zenon_H101. zenon_intro zenon_H16c. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H16c). zenon_intro zenon_H102. zenon_intro zenon_H100. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.02 apply (zenon_L650_); trivial. % 0.84/1.02 apply (zenon_L651_); trivial. % 0.84/1.02 apply (zenon_L652_); trivial. % 0.84/1.02 apply (zenon_L657_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H34c). zenon_intro zenon_Ha. zenon_intro zenon_H350. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H350). zenon_intro zenon_H175. zenon_intro zenon_H351. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H351). zenon_intro zenon_H176. zenon_intro zenon_H174. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H34d ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H23e ]. % 0.84/1.02 apply (zenon_L217_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H240. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H11a. zenon_intro zenon_H241. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H16f | zenon_intro zenon_H19c ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.84/1.02 apply (zenon_L565_); trivial. % 0.84/1.02 apply (zenon_L443_); trivial. % 0.84/1.02 apply (zenon_L567_); trivial. % 0.84/1.02 apply (zenon_L660_); trivial. % 0.84/1.02 apply (zenon_L568_); trivial. % 0.84/1.02 apply (zenon_L661_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H34d). zenon_intro zenon_Ha. zenon_intro zenon_H34e. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H34e). zenon_intro zenon_H14d. zenon_intro zenon_H34f. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H34f). zenon_intro zenon_H14e. zenon_intro zenon_H14f. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H10c | zenon_intro zenon_H23e ]. % 0.84/1.02 apply (zenon_L217_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H23e). zenon_intro zenon_Ha. zenon_intro zenon_H240. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H240). zenon_intro zenon_H11a. zenon_intro zenon_H241. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H241). zenon_intro zenon_H118. zenon_intro zenon_H119. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_Had | zenon_intro zenon_Hfa ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H2a | zenon_intro zenon_H63 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H1 | zenon_intro zenon_H113 ]. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1fb | zenon_intro zenon_H208 ]. % 0.84/1.02 apply (zenon_L565_); trivial. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H208). zenon_intro zenon_Ha. zenon_intro zenon_H209. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H209). zenon_intro zenon_H200. zenon_intro zenon_H20a. % 0.84/1.02 apply (zenon_and_s _ _ zenon_H20a). zenon_intro zenon_H201. zenon_intro zenon_H1ff. % 0.84/1.02 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H2c | zenon_intro zenon_H4a ]. % 0.84/1.02 apply (zenon_L444_); trivial. % 0.84/1.02 apply (zenon_L663_); trivial. % 0.84/1.02 apply (zenon_L567_); trivial. % 0.84/1.02 apply (zenon_L568_); trivial. % 0.84/1.02 apply (zenon_L661_); trivial. % 0.84/1.02 Qed. % 0.84/1.02 % SZS output end Proof % 0.84/1.02 (* END-PROOF *) % 0.84/1.02 nodes searched: 34621 % 0.84/1.02 max branch formulas: 460 % 0.84/1.02 proof nodes created: 4560 % 0.84/1.02 formulas created: 31590 % 0.84/1.02 %------------------------------------------------------------------------------