%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN507+1 : TPTP v8.1.0. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n026.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 13:53:45 EDT 2022 % Result : Theorem 1.17s 1.34s % Output : Proof 1.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYN507+1 : TPTP v8.1.0. Released v2.1.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n026.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Mon Jul 11 15:04:42 EDT 2022 % 0.13/0.34 % CPUTime : % 1.17/1.34 (* PROOF-FOUND *) % 1.17/1.34 % SZS status Theorem % 1.17/1.34 (* BEGIN-PROOF *) % 1.17/1.34 % SZS output start Proof % 1.17/1.34 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((c1_1 (a584))/\((~(c0_1 (a584)))/\(~(c2_1 (a584)))))))/\(((~(hskp1))\/((ndr1_0)/\((c1_1 (a585))/\((c2_1 (a585))/\(~(c0_1 (a585)))))))/\(((~(hskp2))\/((ndr1_0)/\((c1_1 (a586))/\((c2_1 (a586))/\(~(c3_1 (a586)))))))/\(((~(hskp3))\/((ndr1_0)/\((c0_1 (a587))/\((c2_1 (a587))/\(~(c1_1 (a587)))))))/\(((~(hskp4))\/((ndr1_0)/\((c0_1 (a588))/\((~(c1_1 (a588)))/\(~(c2_1 (a588)))))))/\(((~(hskp5))\/((ndr1_0)/\((c0_1 (a589))/\((c1_1 (a589))/\(~(c2_1 (a589)))))))/\(((~(hskp6))\/((ndr1_0)/\((c2_1 (a590))/\((c3_1 (a590))/\(~(c0_1 (a590)))))))/\(((~(hskp7))\/((ndr1_0)/\((c2_1 (a592))/\((~(c0_1 (a592)))/\(~(c3_1 (a592)))))))/\(((~(hskp8))\/((ndr1_0)/\((c1_1 (a593))/\((c3_1 (a593))/\(~(c2_1 (a593)))))))/\(((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595)))))))/\(((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))))/\(((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))))/\(((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600)))))))/\(((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601)))))))/\(((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))))/\(((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))))/\(((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))))/\(((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))))/\(((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))))/\(((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617)))))))/\(((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623)))))))/\(((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629)))))))/\(((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633)))))))/\(((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636)))))))/\(((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648)))))))/\(((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651)))))))/\(((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583))))))/\(((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))))/\(((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612))))))/\(((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp0)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp3)\/(hskp4)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))))/\(((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp8)\/(hskp6)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))))/\(((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))))/\(((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp10)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp12)\/(hskp13)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp4)\/(hskp14)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp15)\/(hskp13)))/\(((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16)))/\(((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17)))/\(((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((hskp10)\/(hskp7)))/\(((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18)))/\(((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27)))/\(((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28)))/\(((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))))/\(((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14)))/\(((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18)))/\(((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))))/\(((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12)))/\(((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13)))/\(((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp8)))/\(((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16)))/\(((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp15)))/\(((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20)))/\(((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16)))/\(((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26)))/\(((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1)))/\(((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11)))/\(((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp28)\/(hskp8)))/\(((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6)))/\(((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp3)))/\(((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))))/\(((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/((hskp3)\/(hskp4)))/\(((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15)))/\(((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23)))/\(((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28)))/\(((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23)))/\(((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp8)))/\(((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/((hskp3)\/(hskp16)))/\(((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp24)))/\(((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp8)\/(hskp6)))/\(((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9)))/\(((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/((hskp15)\/(hskp25)))/\(((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/((hskp0)\/(hskp11)))/\(((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp26)\/(hskp28)))/\(((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24)))/\(((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp21)\/(hskp8)))/\(((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp15)\/(hskp11)))/\(((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14)))/\(((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17)))/\(((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17)))/\(((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17)))/\(((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8)))/\(((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp14)\/(hskp22)))/\(((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp7)\/(hskp20)))/\(((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15)))/\(((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18)))/\(((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10)))/\(((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp29)\/(hskp14)))/\(((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20)))/\(((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/((hskp12)\/(hskp10)))/\(((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/((hskp10)\/(hskp1)))/\(((hskp26)\/((hskp12)\/(hskp8)))/\(((hskp26)\/(hskp11))/\(((hskp29)\/((hskp22)\/(hskp17)))/\(((hskp29)\/((hskp7)\/(hskp17)))/\((hskp14)\/((hskp21)\/(hskp0))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 1.17/1.34 Proof. % 1.17/1.34 assert (zenon_L1_ : (~(hskp26)) -> (hskp26) -> False). % 1.17/1.34 do 0 intro. intros zenon_H1 zenon_H2. % 1.17/1.34 exact (zenon_H1 zenon_H2). % 1.17/1.34 (* end of lemma zenon_L1_ *) % 1.17/1.34 assert (zenon_L2_ : (~(hskp11)) -> (hskp11) -> False). % 1.17/1.34 do 0 intro. intros zenon_H3 zenon_H4. % 1.17/1.34 exact (zenon_H3 zenon_H4). % 1.17/1.34 (* end of lemma zenon_L2_ *) % 1.17/1.34 assert (zenon_L3_ : ((hskp26)\/(hskp11)) -> (~(hskp11)) -> (~(hskp26)) -> False). % 1.17/1.34 do 0 intro. intros zenon_H5 zenon_H3 zenon_H1. % 1.17/1.34 apply (zenon_or_s _ _ zenon_H5); [ zenon_intro zenon_H2 | zenon_intro zenon_H4 ]. % 1.17/1.34 exact (zenon_H1 zenon_H2). % 1.17/1.34 exact (zenon_H3 zenon_H4). % 1.17/1.34 (* end of lemma zenon_L3_ *) % 1.17/1.34 assert (zenon_L4_ : (~(hskp29)) -> (hskp29) -> False). % 1.17/1.34 do 0 intro. intros zenon_H6 zenon_H7. % 1.17/1.34 exact (zenon_H6 zenon_H7). % 1.17/1.34 (* end of lemma zenon_L4_ *) % 1.17/1.34 assert (zenon_L5_ : (~(hskp7)) -> (hskp7) -> False). % 1.17/1.34 do 0 intro. intros zenon_H8 zenon_H9. % 1.17/1.34 exact (zenon_H8 zenon_H9). % 1.17/1.34 (* end of lemma zenon_L5_ *) % 1.17/1.34 assert (zenon_L6_ : (~(hskp17)) -> (hskp17) -> False). % 1.17/1.34 do 0 intro. intros zenon_Ha zenon_Hb. % 1.17/1.34 exact (zenon_Ha zenon_Hb). % 1.17/1.34 (* end of lemma zenon_L6_ *) % 1.17/1.34 assert (zenon_L7_ : ((hskp29)\/((hskp7)\/(hskp17))) -> (~(hskp29)) -> (~(hskp7)) -> (~(hskp17)) -> False). % 1.17/1.34 do 0 intro. intros zenon_Hc zenon_H6 zenon_H8 zenon_Ha. % 1.17/1.34 apply (zenon_or_s _ _ zenon_Hc); [ zenon_intro zenon_H7 | zenon_intro zenon_Hd ]. % 1.17/1.34 exact (zenon_H6 zenon_H7). % 1.17/1.34 apply (zenon_or_s _ _ zenon_Hd); [ zenon_intro zenon_H9 | zenon_intro zenon_Hb ]. % 1.17/1.34 exact (zenon_H8 zenon_H9). % 1.17/1.34 exact (zenon_Ha zenon_Hb). % 1.17/1.34 (* end of lemma zenon_L7_ *) % 1.17/1.34 assert (zenon_L8_ : (~(ndr1_0)) -> (ndr1_0) -> False). % 1.17/1.34 do 0 intro. intros zenon_He zenon_Hf. % 1.17/1.34 exact (zenon_He zenon_Hf). % 1.17/1.34 (* end of lemma zenon_L8_ *) % 1.17/1.34 assert (zenon_L9_ : (forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (ndr1_0) -> (c0_1 (a583)) -> (c1_1 (a583)) -> (c2_1 (a583)) -> False). % 1.17/1.34 do 0 intro. intros zenon_H10 zenon_Hf zenon_H11 zenon_H12 zenon_H13. % 1.17/1.34 generalize (zenon_H10 (a583)). zenon_intro zenon_H14. % 1.17/1.34 apply (zenon_imply_s _ _ zenon_H14); [ zenon_intro zenon_He | zenon_intro zenon_H15 ]. % 1.17/1.34 exact (zenon_He zenon_Hf). % 1.17/1.34 apply (zenon_or_s _ _ zenon_H15); [ zenon_intro zenon_H17 | zenon_intro zenon_H16 ]. % 1.17/1.34 exact (zenon_H17 zenon_H11). % 1.17/1.34 apply (zenon_or_s _ _ zenon_H16); [ zenon_intro zenon_H19 | zenon_intro zenon_H18 ]. % 1.17/1.34 exact (zenon_H19 zenon_H12). % 1.17/1.34 exact (zenon_H18 zenon_H13). % 1.17/1.34 (* end of lemma zenon_L9_ *) % 1.17/1.34 assert (zenon_L10_ : (~(hskp10)) -> (hskp10) -> False). % 1.17/1.34 do 0 intro. intros zenon_H1a zenon_H1b. % 1.17/1.34 exact (zenon_H1a zenon_H1b). % 1.17/1.34 (* end of lemma zenon_L10_ *) % 1.17/1.34 assert (zenon_L11_ : ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (c2_1 (a583)) -> (c1_1 (a583)) -> (c0_1 (a583)) -> (c2_1 (a678)) -> (c3_1 (a678)) -> (c0_1 (a678)) -> (forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77)))))) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.17/1.34 do 0 intro. intros zenon_H1c zenon_H13 zenon_H12 zenon_H11 zenon_H1d zenon_H1e zenon_H1f zenon_H20 zenon_Hf zenon_H1a. % 1.17/1.34 apply (zenon_or_s _ _ zenon_H1c); [ zenon_intro zenon_H10 | zenon_intro zenon_H21 ]. % 1.17/1.34 apply (zenon_L9_); trivial. % 1.17/1.34 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H22 | zenon_intro zenon_H1b ]. % 1.17/1.34 generalize (zenon_H22 (a678)). zenon_intro zenon_H23. % 1.17/1.34 apply (zenon_imply_s _ _ zenon_H23); [ zenon_intro zenon_He | zenon_intro zenon_H24 ]. % 1.17/1.34 exact (zenon_He zenon_Hf). % 1.17/1.34 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H26 | zenon_intro zenon_H25 ]. % 1.17/1.34 generalize (zenon_H20 (a678)). zenon_intro zenon_H27. % 1.17/1.34 apply (zenon_imply_s _ _ zenon_H27); [ zenon_intro zenon_He | zenon_intro zenon_H28 ]. % 1.17/1.34 exact (zenon_He zenon_Hf). % 1.17/1.34 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H2a | zenon_intro zenon_H29 ]. % 1.17/1.34 exact (zenon_H26 zenon_H2a). % 1.17/1.34 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H2c | zenon_intro zenon_H2b ]. % 1.17/1.34 exact (zenon_H2c zenon_H1f). % 1.17/1.34 exact (zenon_H2b zenon_H1e). % 1.17/1.34 apply (zenon_or_s _ _ zenon_H25); [ zenon_intro zenon_H2d | zenon_intro zenon_H2b ]. % 1.17/1.34 exact (zenon_H2d zenon_H1d). % 1.17/1.34 exact (zenon_H2b zenon_H1e). % 1.17/1.34 exact (zenon_H1a zenon_H1b). % 1.17/1.34 (* end of lemma zenon_L11_ *) % 1.17/1.34 assert (zenon_L12_ : (~(hskp23)) -> (hskp23) -> False). % 1.17/1.34 do 0 intro. intros zenon_H2e zenon_H2f. % 1.17/1.34 exact (zenon_H2e zenon_H2f). % 1.17/1.34 (* end of lemma zenon_L12_ *) % 1.17/1.34 assert (zenon_L13_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> (~(hskp23)) -> (~(hskp11)) -> (c0_1 (a583)) -> (c1_1 (a583)) -> (c2_1 (a583)) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp7)) -> (~(hskp17)) -> ((hskp29)\/((hskp7)\/(hskp17))) -> False). % 1.17/1.34 do 0 intro. intros zenon_H30 zenon_H31 zenon_H2e zenon_H3 zenon_H11 zenon_H12 zenon_H13 zenon_H1a zenon_H1c zenon_H8 zenon_Ha zenon_Hc. % 1.17/1.34 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.17/1.34 apply (zenon_L7_); trivial. % 1.17/1.34 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hf. zenon_intro zenon_H33. % 1.17/1.34 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H1f. zenon_intro zenon_H34. % 1.17/1.34 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.17/1.34 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 1.17/1.34 apply (zenon_L11_); trivial. % 1.17/1.34 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H4 | zenon_intro zenon_H2f ]. % 1.17/1.34 exact (zenon_H3 zenon_H4). % 1.17/1.34 exact (zenon_H2e zenon_H2f). % 1.17/1.34 (* end of lemma zenon_L13_ *) % 1.17/1.34 assert (zenon_L14_ : (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9)))))) -> (ndr1_0) -> (~(c0_1 (a636))) -> (~(c1_1 (a636))) -> (c3_1 (a636)) -> False). % 1.17/1.34 do 0 intro. intros zenon_H36 zenon_Hf zenon_H37 zenon_H38 zenon_H39. % 1.17/1.34 generalize (zenon_H36 (a636)). zenon_intro zenon_H3a. % 1.17/1.34 apply (zenon_imply_s _ _ zenon_H3a); [ zenon_intro zenon_He | zenon_intro zenon_H3b ]. % 1.17/1.34 exact (zenon_He zenon_Hf). % 1.17/1.34 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H3d | zenon_intro zenon_H3c ]. % 1.17/1.34 exact (zenon_H37 zenon_H3d). % 1.17/1.34 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H3f | zenon_intro zenon_H3e ]. % 1.17/1.34 exact (zenon_H38 zenon_H3f). % 1.17/1.34 exact (zenon_H3e zenon_H39). % 1.17/1.34 (* end of lemma zenon_L14_ *) % 1.17/1.34 assert (zenon_L15_ : (~(hskp8)) -> (hskp8) -> False). % 1.17/1.34 do 0 intro. intros zenon_H40 zenon_H41. % 1.17/1.34 exact (zenon_H40 zenon_H41). % 1.17/1.34 (* end of lemma zenon_L15_ *) % 1.17/1.34 assert (zenon_L16_ : (~(hskp6)) -> (hskp6) -> False). % 1.17/1.34 do 0 intro. intros zenon_H42 zenon_H43. % 1.17/1.34 exact (zenon_H42 zenon_H43). % 1.17/1.34 (* end of lemma zenon_L16_ *) % 1.17/1.34 assert (zenon_L17_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp8)\/(hskp6))) -> (c3_1 (a636)) -> (~(c1_1 (a636))) -> (~(c0_1 (a636))) -> (ndr1_0) -> (~(hskp8)) -> (~(hskp6)) -> False). % 1.17/1.34 do 0 intro. intros zenon_H44 zenon_H39 zenon_H38 zenon_H37 zenon_Hf zenon_H40 zenon_H42. % 1.17/1.34 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H36 | zenon_intro zenon_H45 ]. % 1.17/1.34 apply (zenon_L14_); trivial. % 1.17/1.34 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H41 | zenon_intro zenon_H43 ]. % 1.17/1.34 exact (zenon_H40 zenon_H41). % 1.17/1.34 exact (zenon_H42 zenon_H43). % 1.17/1.34 (* end of lemma zenon_L17_ *) % 1.17/1.34 assert (zenon_L18_ : (~(hskp12)) -> (hskp12) -> False). % 1.17/1.34 do 0 intro. intros zenon_H46 zenon_H47. % 1.17/1.34 exact (zenon_H46 zenon_H47). % 1.17/1.34 (* end of lemma zenon_L18_ *) % 1.17/1.34 assert (zenon_L19_ : ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp26)) -> (~(hskp12)) -> (~(hskp8)) -> False). % 1.17/1.34 do 0 intro. intros zenon_H48 zenon_H1 zenon_H46 zenon_H40. % 1.17/1.34 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H2 | zenon_intro zenon_H49 ]. % 1.17/1.34 exact (zenon_H1 zenon_H2). % 1.17/1.34 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H47 | zenon_intro zenon_H41 ]. % 1.17/1.34 exact (zenon_H46 zenon_H47). % 1.17/1.34 exact (zenon_H40 zenon_H41). % 1.17/1.34 (* end of lemma zenon_L19_ *) % 1.17/1.34 assert (zenon_L20_ : (forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47)))))) -> (ndr1_0) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> False). % 1.17/1.34 do 0 intro. intros zenon_H4a zenon_Hf zenon_H4b zenon_H4c zenon_H4d. % 1.17/1.34 generalize (zenon_H4a (a607)). zenon_intro zenon_H4e. % 1.17/1.34 apply (zenon_imply_s _ _ zenon_H4e); [ zenon_intro zenon_He | zenon_intro zenon_H4f ]. % 1.17/1.34 exact (zenon_He zenon_Hf). % 1.17/1.34 apply (zenon_or_s _ _ zenon_H4f); [ zenon_intro zenon_H51 | zenon_intro zenon_H50 ]. % 1.17/1.34 exact (zenon_H4b zenon_H51). % 1.17/1.34 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H53 | zenon_intro zenon_H52 ]. % 1.17/1.34 exact (zenon_H4c zenon_H53). % 1.17/1.34 exact (zenon_H52 zenon_H4d). % 1.17/1.34 (* end of lemma zenon_L20_ *) % 1.17/1.34 assert (zenon_L21_ : ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (c3_1 (a607)) -> (~(c1_1 (a607))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9)))))) -> (~(c2_1 (a607))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.17/1.34 do 0 intro. intros zenon_H54 zenon_H4d zenon_H4b zenon_H36 zenon_H4c zenon_Hf zenon_H2e. % 1.17/1.34 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H4a | zenon_intro zenon_H55 ]. % 1.17/1.34 apply (zenon_L20_); trivial. % 1.17/1.34 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H56 | zenon_intro zenon_H2f ]. % 1.17/1.34 generalize (zenon_H56 (a607)). zenon_intro zenon_H57. % 1.17/1.34 apply (zenon_imply_s _ _ zenon_H57); [ zenon_intro zenon_He | zenon_intro zenon_H58 ]. % 1.17/1.34 exact (zenon_He zenon_Hf). % 1.17/1.34 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H53 | zenon_intro zenon_H59 ]. % 1.17/1.34 exact (zenon_H4c zenon_H53). % 1.17/1.34 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H5a | zenon_intro zenon_H52 ]. % 1.17/1.34 generalize (zenon_H36 (a607)). zenon_intro zenon_H5b. % 1.17/1.34 apply (zenon_imply_s _ _ zenon_H5b); [ zenon_intro zenon_He | zenon_intro zenon_H5c ]. % 1.17/1.34 exact (zenon_He zenon_Hf). % 1.17/1.34 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H5e | zenon_intro zenon_H5d ]. % 1.17/1.34 exact (zenon_H5a zenon_H5e). % 1.17/1.34 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H51 | zenon_intro zenon_H52 ]. % 1.17/1.34 exact (zenon_H4b zenon_H51). % 1.17/1.34 exact (zenon_H52 zenon_H4d). % 1.17/1.34 exact (zenon_H52 zenon_H4d). % 1.17/1.34 exact (zenon_H2e zenon_H2f). % 1.17/1.34 (* end of lemma zenon_L21_ *) % 1.17/1.34 assert (zenon_L22_ : (~(hskp9)) -> (hskp9) -> False). % 1.17/1.34 do 0 intro. intros zenon_H5f zenon_H60. % 1.17/1.34 exact (zenon_H5f zenon_H60). % 1.17/1.34 (* end of lemma zenon_L22_ *) % 1.17/1.34 assert (zenon_L23_ : ((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp23)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (c3_1 (a607)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp9)) -> False). % 1.17/1.34 do 0 intro. intros zenon_H61 zenon_H62 zenon_H2e zenon_H4c zenon_H4b zenon_H4d zenon_H54 zenon_H5f. % 1.17/1.34 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_Hf. zenon_intro zenon_H63. % 1.17/1.34 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H11. zenon_intro zenon_H64. % 1.17/1.34 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.17/1.34 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H36 | zenon_intro zenon_H65 ]. % 1.17/1.34 apply (zenon_L21_); trivial. % 1.17/1.34 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H10 | zenon_intro zenon_H60 ]. % 1.17/1.34 apply (zenon_L9_); trivial. % 1.17/1.34 exact (zenon_H5f zenon_H60). % 1.17/1.34 (* end of lemma zenon_L23_ *) % 1.17/1.34 assert (zenon_L24_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> (~(hskp23)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp12)) -> (~(hskp8)) -> ((hskp26)\/((hskp12)\/(hskp8))) -> False). % 1.17/1.34 do 0 intro. intros zenon_H66 zenon_H62 zenon_H5f zenon_H4b zenon_H4c zenon_H4d zenon_H2e zenon_H54 zenon_H46 zenon_H40 zenon_H48. % 1.17/1.34 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.17/1.34 apply (zenon_L19_); trivial. % 1.17/1.34 apply (zenon_L23_); trivial. % 1.17/1.34 (* end of lemma zenon_L24_ *) % 1.17/1.34 assert (zenon_L25_ : ((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (c3_1 (a636)) -> (~(c1_1 (a636))) -> (~(c0_1 (a636))) -> (~(hskp9)) -> False). % 1.17/1.34 do 0 intro. intros zenon_H61 zenon_H62 zenon_H39 zenon_H38 zenon_H37 zenon_H5f. % 1.17/1.34 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_Hf. zenon_intro zenon_H63. % 1.17/1.34 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H11. zenon_intro zenon_H64. % 1.17/1.34 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.17/1.34 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H36 | zenon_intro zenon_H65 ]. % 1.17/1.34 apply (zenon_L14_); trivial. % 1.17/1.34 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H10 | zenon_intro zenon_H60 ]. % 1.17/1.34 apply (zenon_L9_); trivial. % 1.17/1.34 exact (zenon_H5f zenon_H60). % 1.17/1.34 (* end of lemma zenon_L25_ *) % 1.17/1.34 assert (zenon_L26_ : ((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp12)) -> (~(hskp8)) -> ((hskp26)\/((hskp12)\/(hskp8))) -> False). % 1.17/1.34 do 0 intro. intros zenon_H67 zenon_H66 zenon_H62 zenon_H5f zenon_H46 zenon_H40 zenon_H48. % 1.17/1.34 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Hf. zenon_intro zenon_H68. % 1.17/1.34 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H39. zenon_intro zenon_H69. % 1.17/1.34 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H37. zenon_intro zenon_H38. % 1.17/1.34 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.17/1.34 apply (zenon_L19_); trivial. % 1.17/1.34 apply (zenon_L25_); trivial. % 1.17/1.34 (* end of lemma zenon_L26_ *) % 1.17/1.34 assert (zenon_L27_ : ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(hskp12)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.17/1.34 do 0 intro. intros zenon_H6a zenon_H48 zenon_H40 zenon_H46 zenon_H54 zenon_H4d zenon_H4c zenon_H4b zenon_H5f zenon_H62 zenon_H66. % 1.17/1.34 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.17/1.34 apply (zenon_L24_); trivial. % 1.17/1.34 apply (zenon_L26_); trivial. % 1.17/1.34 (* end of lemma zenon_L27_ *) % 1.17/1.34 assert (zenon_L28_ : (forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))) -> (ndr1_0) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> False). % 1.17/1.34 do 0 intro. intros zenon_H6b zenon_Hf zenon_H6c zenon_H6d zenon_H6e. % 1.17/1.34 generalize (zenon_H6b (a600)). zenon_intro zenon_H6f. % 1.17/1.34 apply (zenon_imply_s _ _ zenon_H6f); [ zenon_intro zenon_He | zenon_intro zenon_H70 ]. % 1.17/1.34 exact (zenon_He zenon_Hf). % 1.17/1.34 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H72 | zenon_intro zenon_H71 ]. % 1.17/1.34 exact (zenon_H6c zenon_H72). % 1.17/1.34 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H74 | zenon_intro zenon_H73 ]. % 1.17/1.34 exact (zenon_H74 zenon_H6d). % 1.17/1.34 exact (zenon_H73 zenon_H6e). % 1.17/1.34 (* end of lemma zenon_L28_ *) % 1.17/1.34 assert (zenon_L29_ : (~(hskp27)) -> (hskp27) -> False). % 1.17/1.34 do 0 intro. intros zenon_H75 zenon_H76. % 1.17/1.34 exact (zenon_H75 zenon_H76). % 1.17/1.34 (* end of lemma zenon_L29_ *) % 1.17/1.34 assert (zenon_L30_ : ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp8)) -> False). % 1.17/1.34 do 0 intro. intros zenon_H77 zenon_H6e zenon_H6d zenon_H6c zenon_Hf zenon_H75 zenon_H40. % 1.17/1.34 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H6b | zenon_intro zenon_H78 ]. % 1.17/1.34 apply (zenon_L28_); trivial. % 1.17/1.34 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H76 | zenon_intro zenon_H41 ]. % 1.17/1.34 exact (zenon_H75 zenon_H76). % 1.17/1.34 exact (zenon_H40 zenon_H41). % 1.17/1.34 (* end of lemma zenon_L30_ *) % 1.17/1.34 assert (zenon_L31_ : (forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))) -> (ndr1_0) -> (c0_1 (a611)) -> (c1_1 (a611)) -> (c3_1 (a611)) -> False). % 1.17/1.34 do 0 intro. intros zenon_H79 zenon_Hf zenon_H7a zenon_H7b zenon_H7c. % 1.17/1.34 generalize (zenon_H79 (a611)). zenon_intro zenon_H7d. % 1.17/1.34 apply (zenon_imply_s _ _ zenon_H7d); [ zenon_intro zenon_He | zenon_intro zenon_H7e ]. % 1.17/1.34 exact (zenon_He zenon_Hf). % 1.17/1.34 apply (zenon_or_s _ _ zenon_H7e); [ zenon_intro zenon_H80 | zenon_intro zenon_H7f ]. % 1.17/1.34 exact (zenon_H80 zenon_H7a). % 1.17/1.34 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H82 | zenon_intro zenon_H81 ]. % 1.17/1.34 exact (zenon_H82 zenon_H7b). % 1.17/1.34 exact (zenon_H81 zenon_H7c). % 1.17/1.34 (* end of lemma zenon_L31_ *) % 1.17/1.34 assert (zenon_L32_ : (~(hskp15)) -> (hskp15) -> False). % 1.17/1.34 do 0 intro. intros zenon_H83 zenon_H84. % 1.17/1.34 exact (zenon_H83 zenon_H84). % 1.17/1.34 (* end of lemma zenon_L32_ *) % 1.17/1.34 assert (zenon_L33_ : ((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp10)) -> (c0_1 (a583)) -> (c1_1 (a583)) -> (c2_1 (a583)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (c3_1 (a611)) -> (c1_1 (a611)) -> (c0_1 (a611)) -> (~(hskp15)) -> False). % 1.17/1.34 do 0 intro. intros zenon_H32 zenon_H85 zenon_H1a zenon_H11 zenon_H12 zenon_H13 zenon_H1c zenon_H7c zenon_H7b zenon_H7a zenon_H83. % 1.17/1.34 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hf. zenon_intro zenon_H33. % 1.17/1.34 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H1f. zenon_intro zenon_H34. % 1.17/1.34 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.17/1.34 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H20 | zenon_intro zenon_H86 ]. % 1.17/1.34 apply (zenon_L11_); trivial. % 1.17/1.34 apply (zenon_or_s _ _ zenon_H86); [ zenon_intro zenon_H79 | zenon_intro zenon_H84 ]. % 1.17/1.34 apply (zenon_L31_); trivial. % 1.17/1.34 exact (zenon_H83 zenon_H84). % 1.17/1.34 (* end of lemma zenon_L33_ *) % 1.17/1.34 assert (zenon_L34_ : ((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a583)) -> (c1_1 (a583)) -> (c2_1 (a583)) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp7)) -> (~(hskp17)) -> ((hskp29)\/((hskp7)\/(hskp17))) -> False). % 1.17/1.34 do 0 intro. intros zenon_H87 zenon_H30 zenon_H85 zenon_H83 zenon_H11 zenon_H12 zenon_H13 zenon_H1a zenon_H1c zenon_H8 zenon_Ha zenon_Hc. % 1.17/1.34 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.17/1.34 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.17/1.34 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.17/1.34 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.17/1.34 apply (zenon_L7_); trivial. % 1.17/1.34 apply (zenon_L33_); trivial. % 1.17/1.34 (* end of lemma zenon_L34_ *) % 1.17/1.34 assert (zenon_L35_ : ((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp7)) -> (~(hskp17)) -> ((hskp29)\/((hskp7)\/(hskp17))) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> (~(hskp8)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> False). % 1.17/1.34 do 0 intro. intros zenon_H61 zenon_H8a zenon_H30 zenon_H85 zenon_H83 zenon_H1a zenon_H1c zenon_H8 zenon_Ha zenon_Hc zenon_H6c zenon_H6d zenon_H6e zenon_H40 zenon_H77. % 1.17/1.34 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_Hf. zenon_intro zenon_H63. % 1.17/1.34 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H11. zenon_intro zenon_H64. % 1.17/1.34 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.17/1.34 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.17/1.34 apply (zenon_L30_); trivial. % 1.17/1.34 apply (zenon_L34_); trivial. % 1.17/1.34 (* end of lemma zenon_L35_ *) % 1.17/1.34 assert (zenon_L36_ : ((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp8)\/(hskp6))) -> (~(hskp8)) -> (~(hskp6)) -> False). % 1.17/1.34 do 0 intro. intros zenon_H67 zenon_H44 zenon_H40 zenon_H42. % 1.17/1.34 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Hf. zenon_intro zenon_H68. % 1.17/1.34 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H39. zenon_intro zenon_H69. % 1.17/1.34 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H37. zenon_intro zenon_H38. % 1.17/1.34 apply (zenon_L17_); trivial. % 1.17/1.34 (* end of lemma zenon_L36_ *) % 1.17/1.34 assert (zenon_L37_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp8)) -> (~(hskp6)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp8)\/(hskp6))) -> False). % 1.17/1.34 do 0 intro. intros zenon_H8b zenon_H6a zenon_H54 zenon_H40 zenon_H42 zenon_H44. % 1.17/1.34 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.17/1.34 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.17/1.34 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.17/1.34 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.17/1.34 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H36 | zenon_intro zenon_H45 ]. % 1.17/1.34 apply (zenon_L21_); trivial. % 1.17/1.34 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H41 | zenon_intro zenon_H43 ]. % 1.17/1.34 exact (zenon_H40 zenon_H41). % 1.17/1.34 exact (zenon_H42 zenon_H43). % 1.17/1.34 apply (zenon_L36_); trivial. % 1.17/1.34 (* end of lemma zenon_L37_ *) % 1.17/1.34 assert (zenon_L38_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp6)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp8)\/(hskp6))) -> ((hskp26)\/(hskp11)) -> (~(hskp11)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> ((hskp29)\/((hskp7)\/(hskp17))) -> (~(hskp7)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp15)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.17/1.34 do 0 intro. intros zenon_H8e zenon_H6a zenon_H54 zenon_H42 zenon_H44 zenon_H5 zenon_H3 zenon_H77 zenon_H40 zenon_H6e zenon_H6d zenon_H6c zenon_Hc zenon_H8 zenon_H1c zenon_H1a zenon_H83 zenon_H85 zenon_H30 zenon_H8a zenon_H66. % 1.17/1.34 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.17/1.34 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.17/1.34 apply (zenon_L3_); trivial. % 1.17/1.34 apply (zenon_L35_); trivial. % 1.17/1.34 apply (zenon_L37_); trivial. % 1.17/1.34 (* end of lemma zenon_L38_ *) % 1.17/1.34 assert (zenon_L39_ : (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (ndr1_0) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> False). % 1.17/1.34 do 0 intro. intros zenon_H8f zenon_Hf zenon_H90 zenon_H91 zenon_H92. % 1.17/1.34 generalize (zenon_H8f (a604)). zenon_intro zenon_H93. % 1.17/1.34 apply (zenon_imply_s _ _ zenon_H93); [ zenon_intro zenon_He | zenon_intro zenon_H94 ]. % 1.17/1.34 exact (zenon_He zenon_Hf). % 1.17/1.34 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H96 | zenon_intro zenon_H95 ]. % 1.17/1.34 exact (zenon_H90 zenon_H96). % 1.17/1.34 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H98 | zenon_intro zenon_H97 ]. % 1.17/1.34 exact (zenon_H98 zenon_H91). % 1.17/1.34 exact (zenon_H97 zenon_H92). % 1.17/1.34 (* end of lemma zenon_L39_ *) % 1.17/1.34 assert (zenon_L40_ : (~(hskp20)) -> (hskp20) -> False). % 1.17/1.34 do 0 intro. intros zenon_H99 zenon_H9a. % 1.17/1.34 exact (zenon_H99 zenon_H9a). % 1.17/1.34 (* end of lemma zenon_L40_ *) % 1.17/1.34 assert (zenon_L41_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (ndr1_0) -> (~(hskp7)) -> (~(hskp20)) -> False). % 1.17/1.34 do 0 intro. intros zenon_H9b zenon_H92 zenon_H91 zenon_H90 zenon_Hf zenon_H8 zenon_H99. % 1.17/1.34 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H8f | zenon_intro zenon_H9c ]. % 1.17/1.34 apply (zenon_L39_); trivial. % 1.17/1.34 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9a ]. % 1.17/1.34 exact (zenon_H8 zenon_H9). % 1.17/1.34 exact (zenon_H99 zenon_H9a). % 1.17/1.34 (* end of lemma zenon_L41_ *) % 1.17/1.34 assert (zenon_L42_ : (forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))) -> (ndr1_0) -> (~(c1_1 (a623))) -> (~(c2_1 (a623))) -> (c0_1 (a623)) -> False). % 1.17/1.34 do 0 intro. intros zenon_H9d zenon_Hf zenon_H9e zenon_H9f zenon_Ha0. % 1.17/1.34 generalize (zenon_H9d (a623)). zenon_intro zenon_Ha1. % 1.17/1.34 apply (zenon_imply_s _ _ zenon_Ha1); [ zenon_intro zenon_He | zenon_intro zenon_Ha2 ]. % 1.17/1.34 exact (zenon_He zenon_Hf). % 1.17/1.34 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Ha3 ]. % 1.17/1.34 exact (zenon_H9e zenon_Ha4). % 1.17/1.34 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Ha5 ]. % 1.17/1.34 exact (zenon_H9f zenon_Ha6). % 1.17/1.34 exact (zenon_Ha5 zenon_Ha0). % 1.17/1.34 (* end of lemma zenon_L42_ *) % 1.17/1.34 assert (zenon_L43_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (ndr1_0) -> (forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))) -> (~(c1_1 (a623))) -> (~(c2_1 (a623))) -> (~(c3_1 (a623))) -> False). % 1.17/1.34 do 0 intro. intros zenon_Ha7 zenon_Hf zenon_H9d zenon_H9e zenon_H9f zenon_Ha8. % 1.17/1.34 generalize (zenon_Ha7 (a623)). zenon_intro zenon_Ha9. % 1.17/1.34 apply (zenon_imply_s _ _ zenon_Ha9); [ zenon_intro zenon_He | zenon_intro zenon_Haa ]. % 1.17/1.34 exact (zenon_He zenon_Hf). % 1.17/1.34 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Hab ]. % 1.17/1.34 apply (zenon_L42_); trivial. % 1.17/1.34 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hac ]. % 1.17/1.34 exact (zenon_H9e zenon_Ha4). % 1.17/1.34 exact (zenon_Ha8 zenon_Hac). % 1.17/1.34 (* end of lemma zenon_L43_ *) % 1.17/1.34 assert (zenon_L44_ : (~(hskp28)) -> (hskp28) -> False). % 1.17/1.34 do 0 intro. intros zenon_Had zenon_Hae. % 1.17/1.34 exact (zenon_Had zenon_Hae). % 1.17/1.34 (* end of lemma zenon_L44_ *) % 1.17/1.34 assert (zenon_L45_ : ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp28)\/(hskp8))) -> (~(c3_1 (a623))) -> (~(c2_1 (a623))) -> (~(c1_1 (a623))) -> (ndr1_0) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (~(hskp28)) -> (~(hskp8)) -> False). % 1.17/1.34 do 0 intro. intros zenon_Haf zenon_Ha8 zenon_H9f zenon_H9e zenon_Hf zenon_Ha7 zenon_Had zenon_H40. % 1.17/1.34 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H9d | zenon_intro zenon_Hb0 ]. % 1.17/1.34 apply (zenon_L43_); trivial. % 1.17/1.34 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_Hae | zenon_intro zenon_H41 ]. % 1.17/1.34 exact (zenon_Had zenon_Hae). % 1.17/1.34 exact (zenon_H40 zenon_H41). % 1.17/1.34 (* end of lemma zenon_L45_ *) % 1.17/1.34 assert (zenon_L46_ : (~(hskp1)) -> (hskp1) -> False). % 1.17/1.34 do 0 intro. intros zenon_Hb1 zenon_Hb2. % 1.17/1.34 exact (zenon_Hb1 zenon_Hb2). % 1.17/1.34 (* end of lemma zenon_L46_ *) % 1.17/1.34 assert (zenon_L47_ : (forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107)))))) -> (ndr1_0) -> (c1_1 (a612)) -> (c2_1 (a612)) -> (c3_1 (a612)) -> False). % 1.17/1.34 do 0 intro. intros zenon_H22 zenon_Hf zenon_Hb3 zenon_Hb4 zenon_Hb5. % 1.17/1.34 generalize (zenon_H22 (a612)). zenon_intro zenon_Hb6. % 1.17/1.34 apply (zenon_imply_s _ _ zenon_Hb6); [ zenon_intro zenon_He | zenon_intro zenon_Hb7 ]. % 1.17/1.34 exact (zenon_He zenon_Hf). % 1.17/1.34 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ]. % 1.17/1.34 exact (zenon_Hb9 zenon_Hb3). % 1.17/1.34 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ]. % 1.17/1.34 exact (zenon_Hbb zenon_Hb4). % 1.17/1.34 exact (zenon_Hba zenon_Hb5). % 1.17/1.34 (* end of lemma zenon_L47_ *) % 1.17/1.34 assert (zenon_L48_ : ((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (c2_1 (a583)) -> (c1_1 (a583)) -> (c0_1 (a583)) -> (~(hskp10)) -> False). % 1.17/1.34 do 0 intro. intros zenon_Hbc zenon_H1c zenon_H13 zenon_H12 zenon_H11 zenon_H1a. % 1.17/1.34 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.17/1.34 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.17/1.34 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.17/1.34 apply (zenon_or_s _ _ zenon_H1c); [ zenon_intro zenon_H10 | zenon_intro zenon_H21 ]. % 1.17/1.34 apply (zenon_L9_); trivial. % 1.17/1.34 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H22 | zenon_intro zenon_H1b ]. % 1.17/1.34 apply (zenon_L47_); trivial. % 1.17/1.34 exact (zenon_H1a zenon_H1b). % 1.17/1.34 (* end of lemma zenon_L48_ *) % 1.17/1.34 assert (zenon_L49_ : ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp28)\/(hskp8))) -> (~(hskp8)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp11)) -> ((hskp26)\/(hskp11)) -> (ndr1_0) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (~(hskp7)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> False). % 1.17/1.34 do 0 intro. intros zenon_Hbf zenon_H66 zenon_Hc0 zenon_H1c zenon_H1a zenon_Haf zenon_H40 zenon_Hb1 zenon_Hc1 zenon_H3 zenon_H5 zenon_Hf zenon_H90 zenon_H91 zenon_H92 zenon_H8 zenon_H9b. % 1.17/1.34 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H99 | zenon_intro zenon_Hc2 ]. % 1.17/1.34 apply (zenon_L41_); trivial. % 1.17/1.34 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hf. zenon_intro zenon_Hc3. % 1.17/1.34 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H9e. zenon_intro zenon_Hc4. % 1.17/1.34 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H9f. zenon_intro zenon_Ha8. % 1.17/1.34 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.17/1.34 apply (zenon_L3_); trivial. % 1.17/1.34 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_Hf. zenon_intro zenon_H63. % 1.17/1.34 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H11. zenon_intro zenon_H64. % 1.17/1.34 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.17/1.34 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.17/1.34 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hc5 ]. % 1.17/1.34 apply (zenon_L45_); trivial. % 1.17/1.34 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H8f | zenon_intro zenon_Hb2 ]. % 1.17/1.34 apply (zenon_L39_); trivial. % 1.17/1.34 exact (zenon_Hb1 zenon_Hb2). % 1.17/1.34 apply (zenon_L48_); trivial. % 1.17/1.34 (* end of lemma zenon_L49_ *) % 1.17/1.34 assert (zenon_L50_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp28)\/(hskp8))) -> (~(hskp8)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp11)) -> ((hskp26)\/(hskp11)) -> (~(hskp7)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> False). % 1.17/1.34 do 0 intro. intros zenon_Hc6 zenon_Hbf zenon_H66 zenon_Hc0 zenon_H1c zenon_H1a zenon_Haf zenon_H40 zenon_Hb1 zenon_Hc1 zenon_H3 zenon_H5 zenon_H8 zenon_H9b. % 1.17/1.34 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.17/1.34 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.17/1.34 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.17/1.34 apply (zenon_L49_); trivial. % 1.17/1.34 (* end of lemma zenon_L50_ *) % 1.17/1.34 assert (zenon_L51_ : (forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> False). % 1.17/1.34 do 0 intro. intros zenon_Hc9 zenon_Hf zenon_Hca zenon_Hcb zenon_Hcc. % 1.17/1.34 generalize (zenon_Hc9 (a599)). zenon_intro zenon_Hcd. % 1.17/1.34 apply (zenon_imply_s _ _ zenon_Hcd); [ zenon_intro zenon_He | zenon_intro zenon_Hce ]. % 1.17/1.34 exact (zenon_He zenon_Hf). % 1.17/1.34 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hcf ]. % 1.17/1.34 exact (zenon_Hca zenon_Hd0). % 1.17/1.34 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd1 ]. % 1.17/1.34 exact (zenon_Hd2 zenon_Hcb). % 1.17/1.34 exact (zenon_Hd1 zenon_Hcc). % 1.17/1.34 (* end of lemma zenon_L51_ *) % 1.17/1.34 assert (zenon_L52_ : (~(hskp14)) -> (hskp14) -> False). % 1.17/1.34 do 0 intro. intros zenon_Hd3 zenon_Hd4. % 1.17/1.34 exact (zenon_Hd3 zenon_Hd4). % 1.17/1.34 (* end of lemma zenon_L52_ *) % 1.17/1.34 assert (zenon_L53_ : ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp23)) -> False). % 1.17/1.34 do 0 intro. intros zenon_Hd5 zenon_Hcc zenon_Hcb zenon_Hca zenon_Hf zenon_Hd3 zenon_H2e. % 1.17/1.34 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hd6 ]. % 1.17/1.34 apply (zenon_L51_); trivial. % 1.17/1.34 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Hd4 | zenon_intro zenon_H2f ]. % 1.17/1.34 exact (zenon_Hd3 zenon_Hd4). % 1.17/1.34 exact (zenon_H2e zenon_H2f). % 1.17/1.34 (* end of lemma zenon_L53_ *) % 1.17/1.34 assert (zenon_L54_ : ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp8)\/(hskp6))) -> (~(hskp6)) -> (~(hskp8)) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(hskp14)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> False). % 1.17/1.34 do 0 intro. intros zenon_H6a zenon_H44 zenon_H42 zenon_H40 zenon_Hf zenon_Hca zenon_Hcb zenon_Hcc zenon_Hd3 zenon_Hd5. % 1.17/1.34 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.17/1.34 apply (zenon_L53_); trivial. % 1.17/1.34 apply (zenon_L36_); trivial. % 1.17/1.34 (* end of lemma zenon_L54_ *) % 1.17/1.34 assert (zenon_L55_ : (forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))) -> (ndr1_0) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> (c2_1 (a603)) -> False). % 1.17/1.34 do 0 intro. intros zenon_H6b zenon_Hf zenon_Hd7 zenon_Hd8 zenon_Hd9. % 1.17/1.34 generalize (zenon_H6b (a603)). zenon_intro zenon_Hda. % 1.17/1.34 apply (zenon_imply_s _ _ zenon_Hda); [ zenon_intro zenon_He | zenon_intro zenon_Hdb ]. % 1.17/1.34 exact (zenon_He zenon_Hf). % 1.17/1.34 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hdc ]. % 1.17/1.34 exact (zenon_Hd7 zenon_Hdd). % 1.17/1.34 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hde ]. % 1.17/1.34 exact (zenon_Hdf zenon_Hd8). % 1.17/1.34 exact (zenon_Hde zenon_Hd9). % 1.17/1.34 (* end of lemma zenon_L55_ *) % 1.17/1.34 assert (zenon_L56_ : (forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))) -> (ndr1_0) -> (forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> False). % 1.17/1.34 do 0 intro. intros zenon_He0 zenon_Hf zenon_H6b zenon_Hd7 zenon_Hd8. % 1.17/1.34 generalize (zenon_He0 (a603)). zenon_intro zenon_He1. % 1.17/1.34 apply (zenon_imply_s _ _ zenon_He1); [ zenon_intro zenon_He | zenon_intro zenon_He2 ]. % 1.17/1.34 exact (zenon_He zenon_Hf). % 1.17/1.34 apply (zenon_or_s _ _ zenon_He2); [ zenon_intro zenon_Hd9 | zenon_intro zenon_He3 ]. % 1.17/1.34 apply (zenon_L55_); trivial. % 1.17/1.34 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hdf ]. % 1.17/1.34 exact (zenon_Hd7 zenon_Hdd). % 1.17/1.34 exact (zenon_Hdf zenon_Hd8). % 1.17/1.34 (* end of lemma zenon_L56_ *) % 1.17/1.34 assert (zenon_L57_ : ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (ndr1_0) -> (forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))) -> (~(hskp27)) -> (~(hskp8)) -> False). % 1.17/1.34 do 0 intro. intros zenon_H77 zenon_Hd8 zenon_Hd7 zenon_Hf zenon_He0 zenon_H75 zenon_H40. % 1.17/1.34 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H6b | zenon_intro zenon_H78 ]. % 1.17/1.34 apply (zenon_L56_); trivial. % 1.17/1.34 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H76 | zenon_intro zenon_H41 ]. % 1.17/1.34 exact (zenon_H75 zenon_H76). % 1.17/1.34 exact (zenon_H40 zenon_H41). % 1.17/1.34 (* end of lemma zenon_L57_ *) % 1.17/1.34 assert (zenon_L58_ : (forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))) -> (ndr1_0) -> (~(c1_1 (a603))) -> (forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> False). % 1.17/1.34 do 0 intro. intros zenon_H9d zenon_Hf zenon_He4 zenon_H6b zenon_Hd7 zenon_Hd8. % 1.17/1.34 generalize (zenon_H9d (a603)). zenon_intro zenon_He5. % 1.17/1.34 apply (zenon_imply_s _ _ zenon_He5); [ zenon_intro zenon_He | zenon_intro zenon_He6 ]. % 1.17/1.34 exact (zenon_He zenon_Hf). % 1.17/1.34 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_He8 | zenon_intro zenon_He7 ]. % 1.17/1.34 exact (zenon_He4 zenon_He8). % 1.17/1.34 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hd9 | zenon_intro zenon_Hdf ]. % 1.17/1.34 apply (zenon_L55_); trivial. % 1.17/1.34 exact (zenon_Hdf zenon_Hd8). % 1.17/1.34 (* end of lemma zenon_L58_ *) % 1.17/1.34 assert (zenon_L59_ : ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp28)\/(hskp8))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))) -> (~(c1_1 (a603))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp8)) -> False). % 1.17/1.34 do 0 intro. intros zenon_Haf zenon_Hd8 zenon_Hd7 zenon_H6b zenon_He4 zenon_Hf zenon_Had zenon_H40. % 1.17/1.34 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H9d | zenon_intro zenon_Hb0 ]. % 1.17/1.34 apply (zenon_L58_); trivial. % 1.17/1.34 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_Hae | zenon_intro zenon_H41 ]. % 1.17/1.34 exact (zenon_Had zenon_Hae). % 1.17/1.34 exact (zenon_H40 zenon_H41). % 1.17/1.34 (* end of lemma zenon_L59_ *) % 1.17/1.34 assert (zenon_L60_ : ((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp8))) -> (~(hskp27)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(hskp28)) -> (ndr1_0) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp28)\/(hskp8))) -> (~(hskp8)) -> False). % 1.17/1.34 do 0 intro. intros zenon_He9 zenon_H75 zenon_H77 zenon_Had zenon_Hf zenon_He4 zenon_Hd7 zenon_Hd8 zenon_Haf zenon_H40. % 1.17/1.34 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_He0 | zenon_intro zenon_Hea ]. % 1.17/1.34 apply (zenon_L57_); trivial. % 1.17/1.34 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H6b | zenon_intro zenon_H41 ]. % 1.17/1.34 apply (zenon_L59_); trivial. % 1.17/1.34 exact (zenon_H40 zenon_H41). % 1.17/1.34 (* end of lemma zenon_L60_ *) % 1.17/1.34 assert (zenon_L61_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a583)) -> (c1_1 (a583)) -> (c0_1 (a583)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(hskp8)) -> (~(hskp27)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (ndr1_0) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp28)\/(hskp8))) -> (~(c1_1 (a603))) -> ((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp8))) -> False). % 1.17/1.34 do 0 intro. intros zenon_Hc0 zenon_H1c zenon_H1a zenon_H13 zenon_H12 zenon_H11 zenon_H77 zenon_H40 zenon_H75 zenon_Hd8 zenon_Hd7 zenon_Hf zenon_Haf zenon_He4 zenon_He9. % 1.17/1.34 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.17/1.34 apply (zenon_L60_); trivial. % 1.17/1.34 apply (zenon_L48_); trivial. % 1.17/1.34 (* end of lemma zenon_L61_ *) % 1.17/1.34 assert (zenon_L62_ : ((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp7)) -> (~(hskp17)) -> ((hskp29)\/((hskp7)\/(hskp17))) -> ((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp8))) -> (~(c1_1 (a603))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp28)\/(hskp8))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> (~(hskp8)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> False). % 1.17/1.34 do 0 intro. intros zenon_H61 zenon_H8a zenon_H30 zenon_H85 zenon_H83 zenon_H8 zenon_Ha zenon_Hc zenon_He9 zenon_He4 zenon_Haf zenon_Hd7 zenon_Hd8 zenon_H40 zenon_H77 zenon_H1a zenon_H1c zenon_Hc0. % 1.17/1.34 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_Hf. zenon_intro zenon_H63. % 1.17/1.34 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H11. zenon_intro zenon_H64. % 1.17/1.34 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.17/1.34 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.17/1.34 apply (zenon_L61_); trivial. % 1.17/1.34 apply (zenon_L34_); trivial. % 1.17/1.34 (* end of lemma zenon_L62_ *) % 1.17/1.34 assert (zenon_L63_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp6)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp8)\/(hskp6))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(hskp12)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp28)\/(hskp8))) -> (~(c1_1 (a603))) -> ((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp8))) -> ((hskp29)\/((hskp7)\/(hskp17))) -> (~(hskp7)) -> (~(hskp15)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.17/1.35 do 0 intro. intros zenon_H8e zenon_H6a zenon_H54 zenon_H42 zenon_H44 zenon_H48 zenon_H40 zenon_H46 zenon_Hc0 zenon_H1c zenon_H1a zenon_H77 zenon_Hd8 zenon_Hd7 zenon_Haf zenon_He4 zenon_He9 zenon_Hc zenon_H8 zenon_H83 zenon_H85 zenon_H30 zenon_H8a zenon_H66. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.17/1.35 apply (zenon_L19_); trivial. % 1.17/1.35 apply (zenon_L62_); trivial. % 1.17/1.35 apply (zenon_L37_); trivial. % 1.17/1.35 (* end of lemma zenon_L63_ *) % 1.17/1.35 assert (zenon_L64_ : (forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34)))))) -> (ndr1_0) -> (~(c0_1 (a604))) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5)))))) -> (c3_1 (a604)) -> False). % 1.17/1.35 do 0 intro. intros zenon_Heb zenon_Hf zenon_H90 zenon_Hec zenon_H92. % 1.17/1.35 generalize (zenon_Heb (a604)). zenon_intro zenon_Hed. % 1.17/1.35 apply (zenon_imply_s _ _ zenon_Hed); [ zenon_intro zenon_He | zenon_intro zenon_Hee ]. % 1.17/1.35 exact (zenon_He zenon_Hf). % 1.17/1.35 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H96 | zenon_intro zenon_Hef ]. % 1.17/1.35 exact (zenon_H90 zenon_H96). % 1.17/1.35 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hf0 | zenon_intro zenon_H97 ]. % 1.17/1.35 generalize (zenon_Hec (a604)). zenon_intro zenon_Hf1. % 1.17/1.35 apply (zenon_imply_s _ _ zenon_Hf1); [ zenon_intro zenon_He | zenon_intro zenon_Hf2 ]. % 1.17/1.35 exact (zenon_He zenon_Hf). % 1.17/1.35 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H96 | zenon_intro zenon_Hf3 ]. % 1.17/1.35 exact (zenon_H90 zenon_H96). % 1.17/1.35 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H97 ]. % 1.17/1.35 exact (zenon_Hf4 zenon_Hf0). % 1.17/1.35 exact (zenon_H97 zenon_H92). % 1.17/1.35 exact (zenon_H97 zenon_H92). % 1.17/1.35 (* end of lemma zenon_L64_ *) % 1.17/1.35 assert (zenon_L65_ : (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16))))) -> (ndr1_0) -> (forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))) -> (~(c1_1 (a623))) -> (~(c2_1 (a623))) -> (~(c3_1 (a623))) -> False). % 1.17/1.35 do 0 intro. intros zenon_Hf5 zenon_Hf zenon_H9d zenon_H9e zenon_H9f zenon_Ha8. % 1.17/1.35 generalize (zenon_Hf5 (a623)). zenon_intro zenon_Hf6. % 1.17/1.35 apply (zenon_imply_s _ _ zenon_Hf6); [ zenon_intro zenon_He | zenon_intro zenon_Hf7 ]. % 1.17/1.35 exact (zenon_He zenon_Hf). % 1.17/1.35 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Hf8 ]. % 1.17/1.35 apply (zenon_L42_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hac ]. % 1.17/1.35 exact (zenon_H9f zenon_Ha6). % 1.17/1.35 exact (zenon_Ha8 zenon_Hac). % 1.17/1.35 (* end of lemma zenon_L65_ *) % 1.17/1.35 assert (zenon_L66_ : ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(c3_1 (a623))) -> (~(c2_1 (a623))) -> (~(c1_1 (a623))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16))))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (ndr1_0) -> (forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))) -> (~(hskp1)) -> False). % 1.17/1.35 do 0 intro. intros zenon_Hf9 zenon_Ha8 zenon_H9f zenon_H9e zenon_Hf5 zenon_Hd8 zenon_Hd7 zenon_Hf zenon_He0 zenon_Hb1. % 1.17/1.35 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H9d | zenon_intro zenon_Hfa ]. % 1.17/1.35 apply (zenon_L65_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6b | zenon_intro zenon_Hb2 ]. % 1.17/1.35 apply (zenon_L56_); trivial. % 1.17/1.35 exact (zenon_Hb1 zenon_Hb2). % 1.17/1.35 (* end of lemma zenon_L66_ *) % 1.17/1.35 assert (zenon_L67_ : (~(hskp16)) -> (hskp16) -> False). % 1.17/1.35 do 0 intro. intros zenon_Hfb zenon_Hfc. % 1.17/1.35 exact (zenon_Hfb zenon_Hfc). % 1.17/1.35 (* end of lemma zenon_L67_ *) % 1.17/1.35 assert (zenon_L68_ : (forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35)))))) -> (ndr1_0) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> False). % 1.17/1.35 do 0 intro. intros zenon_Hfd zenon_Hf zenon_He4 zenon_Hd7 zenon_Hd8. % 1.17/1.35 generalize (zenon_Hfd (a603)). zenon_intro zenon_Hfe. % 1.17/1.35 apply (zenon_imply_s _ _ zenon_Hfe); [ zenon_intro zenon_He | zenon_intro zenon_Hff ]. % 1.17/1.35 exact (zenon_He zenon_Hf). % 1.17/1.35 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_He8 | zenon_intro zenon_He3 ]. % 1.17/1.35 exact (zenon_He4 zenon_He8). % 1.17/1.35 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hdf ]. % 1.17/1.35 exact (zenon_Hd7 zenon_Hdd). % 1.17/1.35 exact (zenon_Hdf zenon_Hd8). % 1.17/1.35 (* end of lemma zenon_L68_ *) % 1.17/1.35 assert (zenon_L69_ : (~(hskp18)) -> (hskp18) -> False). % 1.17/1.35 do 0 intro. intros zenon_H100 zenon_H101. % 1.17/1.35 exact (zenon_H100 zenon_H101). % 1.17/1.35 (* end of lemma zenon_L69_ *) % 1.17/1.35 assert (zenon_L70_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c3_1 (a604)) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5)))))) -> (~(c0_1 (a604))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (ndr1_0) -> (~(hskp18)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H102 zenon_H92 zenon_Hec zenon_H90 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_Hf zenon_H100. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Heb | zenon_intro zenon_H103 ]. % 1.17/1.35 apply (zenon_L64_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hfd | zenon_intro zenon_H101 ]. % 1.17/1.35 apply (zenon_L68_); trivial. % 1.17/1.35 exact (zenon_H100 zenon_H101). % 1.17/1.35 (* end of lemma zenon_L70_ *) % 1.17/1.35 assert (zenon_L71_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a623))) -> (~(c2_1 (a623))) -> (~(c1_1 (a623))) -> (forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))) -> (~(hskp18)) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> (~(c0_1 (a604))) -> (c3_1 (a604)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H104 zenon_Ha8 zenon_H9f zenon_H9e zenon_H9d zenon_H100 zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H90 zenon_H92 zenon_H102 zenon_Hf zenon_Hca zenon_Hcb zenon_Hcc. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H105 ]. % 1.17/1.35 apply (zenon_L65_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hec | zenon_intro zenon_Hc9 ]. % 1.17/1.35 apply (zenon_L70_); trivial. % 1.17/1.35 apply (zenon_L51_); trivial. % 1.17/1.35 (* end of lemma zenon_L71_ *) % 1.17/1.35 assert (zenon_L72_ : ((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp16)) -> (c1_1 (a604)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp18)) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> (~(c0_1 (a604))) -> (c3_1 (a604)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> False). % 1.17/1.35 do 0 intro. intros zenon_Hc2 zenon_H106 zenon_H107 zenon_Hb1 zenon_Hf9 zenon_Hfb zenon_H91 zenon_H104 zenon_H100 zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H90 zenon_H92 zenon_H102 zenon_Hca zenon_Hcb zenon_Hcc. % 1.17/1.35 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hf. zenon_intro zenon_Hc3. % 1.17/1.35 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H9e. zenon_intro zenon_Hc4. % 1.17/1.35 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H9f. zenon_intro zenon_Ha8. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H108 ]. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Heb | zenon_intro zenon_H103 ]. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hec | zenon_intro zenon_H109 ]. % 1.17/1.35 apply (zenon_L64_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_He0 | zenon_intro zenon_Hfc ]. % 1.17/1.35 apply (zenon_L66_); trivial. % 1.17/1.35 exact (zenon_Hfb zenon_Hfc). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hfd | zenon_intro zenon_H101 ]. % 1.17/1.35 apply (zenon_L68_); trivial. % 1.17/1.35 exact (zenon_H100 zenon_H101). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H8f | zenon_intro zenon_H9d ]. % 1.17/1.35 apply (zenon_L39_); trivial. % 1.17/1.35 apply (zenon_L71_); trivial. % 1.17/1.35 (* end of lemma zenon_L72_ *) % 1.17/1.35 assert (zenon_L73_ : ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(c1_1 (a603))) -> (~(hskp18)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (ndr1_0) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (~(hskp7)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> False). % 1.17/1.35 do 0 intro. intros zenon_Hbf zenon_H106 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H107 zenon_Hfb zenon_Hd7 zenon_Hd8 zenon_Hb1 zenon_Hf9 zenon_He4 zenon_H100 zenon_H102 zenon_Hf zenon_H90 zenon_H91 zenon_H92 zenon_H8 zenon_H9b. % 1.17/1.35 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H99 | zenon_intro zenon_Hc2 ]. % 1.17/1.35 apply (zenon_L41_); trivial. % 1.17/1.35 apply (zenon_L72_); trivial. % 1.17/1.35 (* end of lemma zenon_L73_ *) % 1.17/1.35 assert (zenon_L74_ : (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (ndr1_0) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c1_1 (a610)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H10a zenon_Hf zenon_H10b zenon_H10c zenon_H10d. % 1.17/1.35 generalize (zenon_H10a (a610)). zenon_intro zenon_H10e. % 1.17/1.35 apply (zenon_imply_s _ _ zenon_H10e); [ zenon_intro zenon_He | zenon_intro zenon_H10f ]. % 1.17/1.35 exact (zenon_He zenon_Hf). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H111 | zenon_intro zenon_H110 ]. % 1.17/1.35 exact (zenon_H10b zenon_H111). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H113 | zenon_intro zenon_H112 ]. % 1.17/1.35 exact (zenon_H10c zenon_H113). % 1.17/1.35 exact (zenon_H112 zenon_H10d). % 1.17/1.35 (* end of lemma zenon_L74_ *) % 1.17/1.35 assert (zenon_L75_ : (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9)))))) -> (ndr1_0) -> (~(c0_1 (a610))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H36 zenon_Hf zenon_H10b zenon_H10a zenon_H10c zenon_H114. % 1.17/1.35 generalize (zenon_H36 (a610)). zenon_intro zenon_H115. % 1.17/1.35 apply (zenon_imply_s _ _ zenon_H115); [ zenon_intro zenon_He | zenon_intro zenon_H116 ]. % 1.17/1.35 exact (zenon_He zenon_Hf). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H111 | zenon_intro zenon_H117 ]. % 1.17/1.35 exact (zenon_H10b zenon_H111). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H10d | zenon_intro zenon_H118 ]. % 1.17/1.35 apply (zenon_L74_); trivial. % 1.17/1.35 exact (zenon_H118 zenon_H114). % 1.17/1.35 (* end of lemma zenon_L75_ *) % 1.17/1.35 assert (zenon_L76_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp8)\/(hskp6))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (~(c0_1 (a610))) -> (ndr1_0) -> (~(hskp8)) -> (~(hskp6)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H44 zenon_H114 zenon_H10c zenon_H10a zenon_H10b zenon_Hf zenon_H40 zenon_H42. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H36 | zenon_intro zenon_H45 ]. % 1.17/1.35 apply (zenon_L75_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H41 | zenon_intro zenon_H43 ]. % 1.17/1.35 exact (zenon_H40 zenon_H41). % 1.17/1.35 exact (zenon_H42 zenon_H43). % 1.17/1.35 (* end of lemma zenon_L76_ *) % 1.17/1.35 assert (zenon_L77_ : (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (ndr1_0) -> (~(c0_1 (a599))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H119 zenon_Hf zenon_H11a zenon_Hca zenon_Hcb. % 1.17/1.35 generalize (zenon_H119 (a599)). zenon_intro zenon_H11b. % 1.17/1.35 apply (zenon_imply_s _ _ zenon_H11b); [ zenon_intro zenon_He | zenon_intro zenon_H11c ]. % 1.17/1.35 exact (zenon_He zenon_Hf). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H11c); [ zenon_intro zenon_H11e | zenon_intro zenon_H11d ]. % 1.17/1.35 exact (zenon_H11a zenon_H11e). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_Hd0 | zenon_intro zenon_Hd2 ]. % 1.17/1.35 exact (zenon_Hca zenon_Hd0). % 1.17/1.35 exact (zenon_Hd2 zenon_Hcb). % 1.17/1.35 (* end of lemma zenon_L77_ *) % 1.17/1.35 assert (zenon_L78_ : (forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (c2_1 (a599)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H11f zenon_Hf zenon_Hca zenon_H119 zenon_Hcb. % 1.17/1.35 generalize (zenon_H11f (a599)). zenon_intro zenon_H120. % 1.17/1.35 apply (zenon_imply_s _ _ zenon_H120); [ zenon_intro zenon_He | zenon_intro zenon_H121 ]. % 1.17/1.35 exact (zenon_He zenon_Hf). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H122 ]. % 1.17/1.35 exact (zenon_Hca zenon_Hd0). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H11a | zenon_intro zenon_Hd2 ]. % 1.17/1.35 apply (zenon_L77_); trivial. % 1.17/1.35 exact (zenon_Hd2 zenon_Hcb). % 1.17/1.35 (* end of lemma zenon_L78_ *) % 1.17/1.35 assert (zenon_L79_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp6)) -> (~(hskp8)) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp8)\/(hskp6))) -> (c2_1 (a599)) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c1_1 (a599))) -> (ndr1_0) -> (~(hskp17)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H123 zenon_H42 zenon_H40 zenon_H10b zenon_H10c zenon_H114 zenon_H44 zenon_Hcb zenon_H119 zenon_Hca zenon_Hf zenon_Ha. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10a | zenon_intro zenon_H124 ]. % 1.17/1.35 apply (zenon_L76_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H11f | zenon_intro zenon_Hb ]. % 1.17/1.35 apply (zenon_L78_); trivial. % 1.17/1.35 exact (zenon_Ha zenon_Hb). % 1.17/1.35 (* end of lemma zenon_L79_ *) % 1.17/1.35 assert (zenon_L80_ : (~(hskp5)) -> (hskp5) -> False). % 1.17/1.35 do 0 intro. intros zenon_H125 zenon_H126. % 1.17/1.35 exact (zenon_H125 zenon_H126). % 1.17/1.35 (* end of lemma zenon_L80_ *) % 1.17/1.35 assert (zenon_L81_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp17)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp8)\/(hskp6))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp5)) -> (~(hskp6)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H127 zenon_H128 zenon_Ha zenon_Hca zenon_Hcb zenon_H44 zenon_H40 zenon_H123 zenon_H125 zenon_H42. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H119 | zenon_intro zenon_H12b ]. % 1.17/1.35 apply (zenon_L79_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H126 | zenon_intro zenon_H43 ]. % 1.17/1.35 exact (zenon_H125 zenon_H126). % 1.17/1.35 exact (zenon_H42 zenon_H43). % 1.17/1.35 (* end of lemma zenon_L81_ *) % 1.17/1.35 assert (zenon_L82_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp8)\/(hskp6))) -> (~(hskp6)) -> (~(hskp8)) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> (~(hskp7)) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (ndr1_0) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c1_1 (a603))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> False). % 1.17/1.35 do 0 intro. intros zenon_H12c zenon_H128 zenon_H125 zenon_H44 zenon_H42 zenon_H40 zenon_Ha zenon_H123 zenon_H9b zenon_H8 zenon_H92 zenon_H91 zenon_H90 zenon_Hf zenon_H102 zenon_He4 zenon_Hf9 zenon_Hb1 zenon_Hd8 zenon_Hd7 zenon_Hfb zenon_H107 zenon_H104 zenon_Hcc zenon_Hcb zenon_Hca zenon_H106 zenon_Hbf. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.17/1.35 apply (zenon_L73_); trivial. % 1.17/1.35 apply (zenon_L81_); trivial. % 1.17/1.35 (* end of lemma zenon_L82_ *) % 1.17/1.35 assert (zenon_L83_ : (forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86)))))) -> (ndr1_0) -> (~(c2_1 (a606))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H12d zenon_Hf zenon_H12e zenon_H12f zenon_H130. % 1.17/1.35 generalize (zenon_H12d (a606)). zenon_intro zenon_H131. % 1.17/1.35 apply (zenon_imply_s _ _ zenon_H131); [ zenon_intro zenon_He | zenon_intro zenon_H132 ]. % 1.17/1.35 exact (zenon_He zenon_Hf). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H134 | zenon_intro zenon_H133 ]. % 1.17/1.35 exact (zenon_H12e zenon_H134). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H136 | zenon_intro zenon_H135 ]. % 1.17/1.35 exact (zenon_H12f zenon_H136). % 1.17/1.35 exact (zenon_H135 zenon_H130). % 1.17/1.35 (* end of lemma zenon_L83_ *) % 1.17/1.35 assert (zenon_L84_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp8)\/(hskp6))) -> (~(hskp8)) -> (~(hskp6)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H137 zenon_H138 zenon_H40 zenon_H42. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H12d | zenon_intro zenon_H45 ]. % 1.17/1.35 apply (zenon_L83_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H41 | zenon_intro zenon_H43 ]. % 1.17/1.35 exact (zenon_H40 zenon_H41). % 1.17/1.35 exact (zenon_H42 zenon_H43). % 1.17/1.35 (* end of lemma zenon_L84_ *) % 1.17/1.35 assert (zenon_L85_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp8)\/(hskp6))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp8)\/(hskp6))) -> (~(hskp6)) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> (~(hskp7)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c1_1 (a603))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.17/1.35 do 0 intro. intros zenon_Hc6 zenon_H13b zenon_H138 zenon_H12c zenon_H128 zenon_H125 zenon_H44 zenon_H42 zenon_H40 zenon_H123 zenon_H9b zenon_H8 zenon_H102 zenon_He4 zenon_Hf9 zenon_Hb1 zenon_Hd8 zenon_Hd7 zenon_H107 zenon_H104 zenon_Hcc zenon_Hcb zenon_Hca zenon_H106 zenon_Hbf zenon_H54 zenon_H6a zenon_H8e. % 1.17/1.35 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.17/1.35 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.17/1.35 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.17/1.35 apply (zenon_L82_); trivial. % 1.17/1.35 apply (zenon_L37_); trivial. % 1.17/1.35 apply (zenon_L84_); trivial. % 1.17/1.35 (* end of lemma zenon_L85_ *) % 1.17/1.35 assert (zenon_L86_ : ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp7)\/(hskp20))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (ndr1_0) -> (forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))) -> (~(hskp7)) -> (~(hskp20)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H13c zenon_Hd8 zenon_Hd7 zenon_Hf zenon_He0 zenon_H8 zenon_H99. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_H6b | zenon_intro zenon_H9c ]. % 1.17/1.35 apply (zenon_L56_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9a ]. % 1.17/1.35 exact (zenon_H8 zenon_H9). % 1.17/1.35 exact (zenon_H99 zenon_H9a). % 1.17/1.35 (* end of lemma zenon_L86_ *) % 1.17/1.35 assert (zenon_L87_ : ((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp8))) -> (~(hskp20)) -> (~(hskp7)) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp7)\/(hskp20))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (ndr1_0) -> (~(hskp8)) -> False). % 1.17/1.35 do 0 intro. intros zenon_He9 zenon_H99 zenon_H8 zenon_Hd7 zenon_Hd8 zenon_H13c zenon_H6e zenon_H6d zenon_H6c zenon_Hf zenon_H40. % 1.17/1.35 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_He0 | zenon_intro zenon_Hea ]. % 1.17/1.35 apply (zenon_L86_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H6b | zenon_intro zenon_H41 ]. % 1.17/1.35 apply (zenon_L28_); trivial. % 1.17/1.35 exact (zenon_H40 zenon_H41). % 1.17/1.35 (* end of lemma zenon_L87_ *) % 1.17/1.35 assert (zenon_L88_ : (forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))) -> (ndr1_0) -> (~(c1_1 (a623))) -> (~(c2_1 (a623))) -> (~(c3_1 (a623))) -> False). % 1.17/1.35 do 0 intro. intros zenon_H13d zenon_Hf zenon_H9e zenon_H9f zenon_Ha8. % 1.17/1.35 generalize (zenon_H13d (a623)). zenon_intro zenon_H13e. % 1.17/1.35 apply (zenon_imply_s _ _ zenon_H13e); [ zenon_intro zenon_He | zenon_intro zenon_H13f ]. % 1.17/1.35 exact (zenon_He zenon_Hf). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hf8 ]. % 1.17/1.35 exact (zenon_H9e zenon_Ha4). % 1.17/1.35 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Ha6 | zenon_intro zenon_Hac ]. % 1.17/1.35 exact (zenon_H9f zenon_Ha6). % 1.17/1.35 exact (zenon_Ha8 zenon_Hac). % 1.17/1.35 (* end of lemma zenon_L88_ *) % 1.17/1.35 assert (zenon_L89_ : ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (~(c3_1 (a623))) -> (~(c2_1 (a623))) -> (~(c1_1 (a623))) -> (c2_1 (a599)) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c1_1 (a599))) -> (ndr1_0) -> (~(hskp26)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H140 zenon_Ha8 zenon_H9f zenon_H9e zenon_Hcb zenon_H119 zenon_Hca zenon_Hf zenon_H1. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H13d | zenon_intro zenon_H141 ]. % 1.17/1.35 apply (zenon_L88_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11f | zenon_intro zenon_H2 ]. % 1.17/1.35 apply (zenon_L78_); trivial. % 1.17/1.35 exact (zenon_H1 zenon_H2). % 1.17/1.35 (* end of lemma zenon_L89_ *) % 1.17/1.35 assert (zenon_L90_ : (~(hskp2)) -> (hskp2) -> False). % 1.17/1.35 do 0 intro. intros zenon_H142 zenon_H143. % 1.17/1.35 exact (zenon_H142 zenon_H143). % 1.17/1.35 (* end of lemma zenon_L90_ *) % 1.17/1.35 assert (zenon_L91_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp26)) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (~(c1_1 (a623))) -> (~(c2_1 (a623))) -> (~(c3_1 (a623))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (~(hskp2)) -> (~(hskp7)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H144 zenon_H1 zenon_Hf zenon_Hca zenon_Hcb zenon_H9e zenon_H9f zenon_Ha8 zenon_H140 zenon_H142 zenon_H8. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H119 | zenon_intro zenon_H145 ]. % 1.17/1.35 apply (zenon_L89_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H143 | zenon_intro zenon_H9 ]. % 1.17/1.35 exact (zenon_H142 zenon_H143). % 1.17/1.35 exact (zenon_H8 zenon_H9). % 1.17/1.35 (* end of lemma zenon_L91_ *) % 1.17/1.35 assert (zenon_L92_ : (~(hskp22)) -> (hskp22) -> False). % 1.17/1.35 do 0 intro. intros zenon_H146 zenon_H147. % 1.17/1.35 exact (zenon_H146 zenon_H147). % 1.17/1.35 (* end of lemma zenon_L92_ *) % 1.17/1.35 assert (zenon_L93_ : ((hskp29)\/((hskp22)\/(hskp17))) -> (~(hskp29)) -> (~(hskp22)) -> (~(hskp17)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H148 zenon_H6 zenon_H146 zenon_Ha. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H7 | zenon_intro zenon_H149 ]. % 1.17/1.35 exact (zenon_H6 zenon_H7). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_H147 | zenon_intro zenon_Hb ]. % 1.17/1.35 exact (zenon_H146 zenon_H147). % 1.17/1.35 exact (zenon_Ha zenon_Hb). % 1.17/1.35 (* end of lemma zenon_L93_ *) % 1.17/1.35 assert (zenon_L94_ : ((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (c0_1 (a583)) -> (c1_1 (a583)) -> (c2_1 (a583)) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp22)) -> (~(hskp17)) -> ((hskp29)\/((hskp22)\/(hskp17))) -> False). % 1.17/1.35 do 0 intro. intros zenon_H87 zenon_H30 zenon_H85 zenon_H83 zenon_H11 zenon_H12 zenon_H13 zenon_H1a zenon_H1c zenon_H146 zenon_Ha zenon_H148. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.17/1.35 apply (zenon_L93_); trivial. % 1.17/1.35 apply (zenon_L33_); trivial. % 1.17/1.35 (* end of lemma zenon_L94_ *) % 1.17/1.35 assert (zenon_L95_ : ((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp22)) -> (~(hskp17)) -> ((hskp29)\/((hskp22)\/(hskp17))) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> (~(hskp8)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> False). % 1.17/1.35 do 0 intro. intros zenon_H61 zenon_H8a zenon_H30 zenon_H85 zenon_H83 zenon_H1a zenon_H1c zenon_H146 zenon_Ha zenon_H148 zenon_H6c zenon_H6d zenon_H6e zenon_H40 zenon_H77. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_Hf. zenon_intro zenon_H63. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H11. zenon_intro zenon_H64. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.17/1.35 apply (zenon_L30_); trivial. % 1.17/1.35 apply (zenon_L94_); trivial. % 1.17/1.35 (* end of lemma zenon_L95_ *) % 1.17/1.35 assert (zenon_L96_ : (forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40)))))) -> (ndr1_0) -> (~(c0_1 (a633))) -> (~(c3_1 (a633))) -> (c1_1 (a633)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H14a zenon_Hf zenon_H14b zenon_H14c zenon_H14d. % 1.17/1.35 generalize (zenon_H14a (a633)). zenon_intro zenon_H14e. % 1.17/1.35 apply (zenon_imply_s _ _ zenon_H14e); [ zenon_intro zenon_He | zenon_intro zenon_H14f ]. % 1.17/1.35 exact (zenon_He zenon_Hf). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H151 | zenon_intro zenon_H150 ]. % 1.17/1.35 exact (zenon_H14b zenon_H151). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_H153 | zenon_intro zenon_H152 ]. % 1.17/1.35 exact (zenon_H14c zenon_H153). % 1.17/1.35 exact (zenon_H152 zenon_H14d). % 1.17/1.35 (* end of lemma zenon_L96_ *) % 1.17/1.35 assert (zenon_L97_ : ((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H154 zenon_H155 zenon_Hcc zenon_Hcb zenon_Hca zenon_H6c zenon_H6d zenon_H6e. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_Hf. zenon_intro zenon_H156. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14d. zenon_intro zenon_H157. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14a | zenon_intro zenon_H158 ]. % 1.17/1.35 apply (zenon_L96_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H6b ]. % 1.17/1.35 apply (zenon_L51_); trivial. % 1.17/1.35 apply (zenon_L28_); trivial. % 1.17/1.35 (* end of lemma zenon_L97_ *) % 1.17/1.35 assert (zenon_L98_ : ((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c3_1 (a599)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> ((hskp29)\/((hskp22)\/(hskp17))) -> (~(hskp17)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp15)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.17/1.35 do 0 intro. intros zenon_Hc2 zenon_H159 zenon_H155 zenon_Hcc zenon_H144 zenon_H8 zenon_H142 zenon_Hca zenon_Hcb zenon_H140 zenon_H77 zenon_H40 zenon_H6e zenon_H6d zenon_H6c zenon_H148 zenon_Ha zenon_H1c zenon_H1a zenon_H83 zenon_H85 zenon_H30 zenon_H8a zenon_H66. % 1.17/1.35 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hf. zenon_intro zenon_Hc3. % 1.17/1.35 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H9e. zenon_intro zenon_Hc4. % 1.17/1.35 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H9f. zenon_intro zenon_Ha8. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H146 | zenon_intro zenon_H154 ]. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.17/1.35 apply (zenon_L91_); trivial. % 1.17/1.35 apply (zenon_L95_); trivial. % 1.17/1.35 apply (zenon_L97_); trivial. % 1.17/1.35 (* end of lemma zenon_L98_ *) % 1.17/1.35 assert (zenon_L99_ : ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c3_1 (a599)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp2)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> ((hskp29)\/((hskp22)\/(hskp17))) -> (~(hskp17)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp15)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp7)\/(hskp20))) -> (~(hskp7)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (ndr1_0) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp8))) -> False). % 1.17/1.35 do 0 intro. intros zenon_Hbf zenon_H159 zenon_H155 zenon_Hcc zenon_H144 zenon_H142 zenon_Hca zenon_Hcb zenon_H140 zenon_H77 zenon_H148 zenon_Ha zenon_H1c zenon_H1a zenon_H83 zenon_H85 zenon_H30 zenon_H8a zenon_H66 zenon_H13c zenon_H8 zenon_Hd8 zenon_Hd7 zenon_Hf zenon_H6c zenon_H6d zenon_H6e zenon_H40 zenon_He9. % 1.17/1.35 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H99 | zenon_intro zenon_Hc2 ]. % 1.17/1.35 apply (zenon_L87_); trivial. % 1.17/1.35 apply (zenon_L98_); trivial. % 1.17/1.35 (* end of lemma zenon_L99_ *) % 1.17/1.35 assert (zenon_L100_ : (~(hskp3)) -> (hskp3) -> False). % 1.17/1.35 do 0 intro. intros zenon_H15a zenon_H15b. % 1.17/1.35 exact (zenon_H15a zenon_H15b). % 1.17/1.35 (* end of lemma zenon_L100_ *) % 1.17/1.35 assert (zenon_L101_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp3))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (~(hskp3)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H8b zenon_H15c zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H15a. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H4a | zenon_intro zenon_H15d ]. % 1.17/1.35 apply (zenon_L20_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_Hfd | zenon_intro zenon_H15b ]. % 1.17/1.35 apply (zenon_L68_); trivial. % 1.17/1.35 exact (zenon_H15a zenon_H15b). % 1.17/1.35 (* end of lemma zenon_L101_ *) % 1.17/1.35 assert (zenon_L102_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a603))) -> ((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (ndr1_0) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> (~(hskp7)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp7)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((hskp29)\/((hskp22)\/(hskp17))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (c3_1 (a599)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> False). % 1.17/1.35 do 0 intro. intros zenon_H8e zenon_H15c zenon_H15a zenon_He4 zenon_He9 zenon_H40 zenon_H6e zenon_H6d zenon_H6c zenon_Hf zenon_Hd7 zenon_Hd8 zenon_H8 zenon_H13c zenon_H66 zenon_H8a zenon_H30 zenon_H85 zenon_H83 zenon_H1a zenon_H1c zenon_H148 zenon_H77 zenon_H140 zenon_Hcb zenon_Hca zenon_H142 zenon_H144 zenon_Hcc zenon_H155 zenon_H159 zenon_Hbf. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.17/1.35 apply (zenon_L99_); trivial. % 1.17/1.35 apply (zenon_L101_); trivial. % 1.17/1.35 (* end of lemma zenon_L102_ *) % 1.17/1.35 assert (zenon_L103_ : (forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77)))))) -> (ndr1_0) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H20 zenon_Hf zenon_H15e zenon_H15f zenon_H160. % 1.17/1.35 generalize (zenon_H20 (a598)). zenon_intro zenon_H161. % 1.17/1.35 apply (zenon_imply_s _ _ zenon_H161); [ zenon_intro zenon_He | zenon_intro zenon_H162 ]. % 1.17/1.35 exact (zenon_He zenon_Hf). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H164 | zenon_intro zenon_H163 ]. % 1.17/1.35 exact (zenon_H15e zenon_H164). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H166 | zenon_intro zenon_H165 ]. % 1.17/1.35 exact (zenon_H166 zenon_H15f). % 1.17/1.35 exact (zenon_H165 zenon_H160). % 1.17/1.35 (* end of lemma zenon_L103_ *) % 1.17/1.35 assert (zenon_L104_ : ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (ndr1_0) -> (~(hskp11)) -> (~(hskp23)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H31 zenon_H160 zenon_H15f zenon_H15e zenon_Hf zenon_H3 zenon_H2e. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H20 | zenon_intro zenon_H35 ]. % 1.17/1.35 apply (zenon_L103_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H4 | zenon_intro zenon_H2f ]. % 1.17/1.35 exact (zenon_H3 zenon_H4). % 1.17/1.35 exact (zenon_H2e zenon_H2f). % 1.17/1.35 (* end of lemma zenon_L104_ *) % 1.17/1.35 assert (zenon_L105_ : ((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp11)) -> ((hskp26)\/(hskp11)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H67 zenon_H66 zenon_H62 zenon_H5f zenon_H3 zenon_H5. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Hf. zenon_intro zenon_H68. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H39. zenon_intro zenon_H69. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H37. zenon_intro zenon_H38. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.17/1.35 apply (zenon_L3_); trivial. % 1.17/1.35 apply (zenon_L25_); trivial. % 1.17/1.35 (* end of lemma zenon_L105_ *) % 1.17/1.35 assert (zenon_L106_ : ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((hskp26)\/(hskp11)) -> (ndr1_0) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> (~(hskp11)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> False). % 1.17/1.35 do 0 intro. intros zenon_H6a zenon_H66 zenon_H62 zenon_H5f zenon_H5 zenon_Hf zenon_H15e zenon_H15f zenon_H160 zenon_H3 zenon_H31. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.17/1.35 apply (zenon_L104_); trivial. % 1.17/1.35 apply (zenon_L105_); trivial. % 1.17/1.35 (* end of lemma zenon_L106_ *) % 1.17/1.35 assert (zenon_L107_ : (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10)))))) -> (ndr1_0) -> (forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))) -> (c1_1 (a612)) -> (c3_1 (a612)) -> (c2_1 (a612)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H167 zenon_Hf zenon_H79 zenon_Hb3 zenon_Hb5 zenon_Hb4. % 1.17/1.35 generalize (zenon_H167 (a612)). zenon_intro zenon_H168. % 1.17/1.35 apply (zenon_imply_s _ _ zenon_H168); [ zenon_intro zenon_He | zenon_intro zenon_H169 ]. % 1.17/1.35 exact (zenon_He zenon_Hf). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H16b | zenon_intro zenon_H16a ]. % 1.17/1.35 generalize (zenon_H79 (a612)). zenon_intro zenon_H16c. % 1.17/1.35 apply (zenon_imply_s _ _ zenon_H16c); [ zenon_intro zenon_He | zenon_intro zenon_H16d ]. % 1.17/1.35 exact (zenon_He zenon_Hf). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H16f | zenon_intro zenon_H16e ]. % 1.17/1.35 exact (zenon_H16f zenon_H16b). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hba ]. % 1.17/1.35 exact (zenon_Hb9 zenon_Hb3). % 1.17/1.35 exact (zenon_Hba zenon_Hb5). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hbb ]. % 1.17/1.35 exact (zenon_Hb9 zenon_Hb3). % 1.17/1.35 exact (zenon_Hbb zenon_Hb4). % 1.17/1.35 (* end of lemma zenon_L107_ *) % 1.17/1.35 assert (zenon_L108_ : ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (c2_1 (a612)) -> (c3_1 (a612)) -> (c1_1 (a612)) -> (ndr1_0) -> (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10)))))) -> (~(hskp15)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H85 zenon_H160 zenon_H15f zenon_H15e zenon_Hb4 zenon_Hb5 zenon_Hb3 zenon_Hf zenon_H167 zenon_H83. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H20 | zenon_intro zenon_H86 ]. % 1.17/1.35 apply (zenon_L103_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H86); [ zenon_intro zenon_H79 | zenon_intro zenon_H84 ]. % 1.17/1.35 apply (zenon_L107_); trivial. % 1.17/1.35 exact (zenon_H83 zenon_H84). % 1.17/1.35 (* end of lemma zenon_L108_ *) % 1.17/1.35 assert (zenon_L109_ : (forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (ndr1_0) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5)))))) -> (c2_1 (a612)) -> (c3_1 (a612)) -> (c1_1 (a612)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H10 zenon_Hf zenon_Hec zenon_Hb4 zenon_Hb5 zenon_Hb3. % 1.17/1.35 generalize (zenon_H10 (a612)). zenon_intro zenon_H170. % 1.17/1.35 apply (zenon_imply_s _ _ zenon_H170); [ zenon_intro zenon_He | zenon_intro zenon_H171 ]. % 1.17/1.35 exact (zenon_He zenon_Hf). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H16f | zenon_intro zenon_H16a ]. % 1.17/1.35 generalize (zenon_Hec (a612)). zenon_intro zenon_H172. % 1.17/1.35 apply (zenon_imply_s _ _ zenon_H172); [ zenon_intro zenon_He | zenon_intro zenon_H173 ]. % 1.17/1.35 exact (zenon_He zenon_Hf). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H16b | zenon_intro zenon_Hb8 ]. % 1.17/1.35 exact (zenon_H16f zenon_H16b). % 1.17/1.35 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ]. % 1.17/1.35 exact (zenon_Hbb zenon_Hb4). % 1.17/1.35 exact (zenon_Hba zenon_Hb5). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hbb ]. % 1.17/1.35 exact (zenon_Hb9 zenon_Hb3). % 1.17/1.35 exact (zenon_Hbb zenon_Hb4). % 1.17/1.35 (* end of lemma zenon_L109_ *) % 1.17/1.35 assert (zenon_L110_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (c1_1 (a612)) -> (c3_1 (a612)) -> (c2_1 (a612)) -> (forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))) -> (ndr1_0) -> (~(hskp16)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H107 zenon_Hb3 zenon_Hb5 zenon_Hb4 zenon_H10 zenon_Hd8 zenon_Hd7 zenon_H6b zenon_Hf zenon_Hfb. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hec | zenon_intro zenon_H109 ]. % 1.17/1.35 apply (zenon_L109_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_He0 | zenon_intro zenon_Hfc ]. % 1.17/1.35 apply (zenon_L56_); trivial. % 1.17/1.35 exact (zenon_Hfb zenon_Hfc). % 1.17/1.35 (* end of lemma zenon_L110_ *) % 1.17/1.35 assert (zenon_L111_ : ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(hskp16)) -> (ndr1_0) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> (forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (c2_1 (a612)) -> (c3_1 (a612)) -> (c1_1 (a612)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (~(hskp27)) -> (~(hskp8)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H77 zenon_Hfb zenon_Hf zenon_Hd7 zenon_Hd8 zenon_H10 zenon_Hb4 zenon_Hb5 zenon_Hb3 zenon_H107 zenon_H75 zenon_H40. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H6b | zenon_intro zenon_H78 ]. % 1.17/1.35 apply (zenon_L110_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H76 | zenon_intro zenon_H41 ]. % 1.17/1.35 exact (zenon_H75 zenon_H76). % 1.17/1.35 exact (zenon_H40 zenon_H41). % 1.17/1.35 (* end of lemma zenon_L111_ *) % 1.17/1.35 assert (zenon_L112_ : ((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp15)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp8)) -> (~(hskp27)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(hskp16)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(hskp12)) -> False). % 1.17/1.35 do 0 intro. intros zenon_Hbc zenon_H174 zenon_H83 zenon_H15e zenon_H15f zenon_H160 zenon_H85 zenon_H40 zenon_H75 zenon_H107 zenon_Hd8 zenon_Hd7 zenon_Hfb zenon_H77 zenon_H46. % 1.17/1.35 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.17/1.35 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.17/1.35 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H167 | zenon_intro zenon_H175 ]. % 1.17/1.35 apply (zenon_L108_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H10 | zenon_intro zenon_H47 ]. % 1.17/1.35 apply (zenon_L111_); trivial. % 1.17/1.35 exact (zenon_H46 zenon_H47). % 1.17/1.35 (* end of lemma zenon_L112_ *) % 1.17/1.35 assert (zenon_L113_ : ((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (~(hskp15)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H87 zenon_H85 zenon_H160 zenon_H15f zenon_H15e zenon_H83. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H20 | zenon_intro zenon_H86 ]. % 1.17/1.35 apply (zenon_L103_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H86); [ zenon_intro zenon_H79 | zenon_intro zenon_H84 ]. % 1.17/1.35 apply (zenon_L31_); trivial. % 1.17/1.35 exact (zenon_H83 zenon_H84). % 1.17/1.35 (* end of lemma zenon_L113_ *) % 1.17/1.35 assert (zenon_L114_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp8)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> (~(hskp15)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (ndr1_0) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp28)\/(hskp8))) -> (~(c1_1 (a603))) -> ((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> False). % 1.17/1.35 do 0 intro. intros zenon_H13b zenon_H138 zenon_H42 zenon_Hc0 zenon_H174 zenon_H46 zenon_H107 zenon_H15e zenon_H15f zenon_H160 zenon_H83 zenon_H85 zenon_H77 zenon_H40 zenon_Hd8 zenon_Hd7 zenon_Hf zenon_Haf zenon_He4 zenon_He9 zenon_H8a. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.17/1.35 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.17/1.35 apply (zenon_L60_); trivial. % 1.17/1.35 apply (zenon_L112_); trivial. % 1.17/1.35 apply (zenon_L113_); trivial. % 1.17/1.35 apply (zenon_L84_); trivial. % 1.17/1.35 (* end of lemma zenon_L114_ *) % 1.17/1.35 assert (zenon_L115_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (ndr1_0) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> (~(hskp8)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> False). % 1.17/1.35 do 0 intro. intros zenon_H8a zenon_H85 zenon_H83 zenon_H160 zenon_H15f zenon_H15e zenon_Hf zenon_H6c zenon_H6d zenon_H6e zenon_H40 zenon_H77. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.17/1.35 apply (zenon_L30_); trivial. % 1.17/1.35 apply (zenon_L113_); trivial. % 1.17/1.35 (* end of lemma zenon_L115_ *) % 1.17/1.35 assert (zenon_L116_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (ndr1_0) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> False). % 1.17/1.35 do 0 intro. intros zenon_Ha7 zenon_Hf zenon_H176 zenon_H177 zenon_H178. % 1.17/1.35 generalize (zenon_Ha7 (a595)). zenon_intro zenon_H179. % 1.17/1.35 apply (zenon_imply_s _ _ zenon_H179); [ zenon_intro zenon_He | zenon_intro zenon_H17a ]. % 1.17/1.35 exact (zenon_He zenon_Hf). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H17c | zenon_intro zenon_H17b ]. % 1.17/1.35 exact (zenon_H176 zenon_H17c). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H17e | zenon_intro zenon_H17d ]. % 1.17/1.35 exact (zenon_H177 zenon_H17e). % 1.17/1.35 exact (zenon_H178 zenon_H17d). % 1.17/1.35 (* end of lemma zenon_L116_ *) % 1.17/1.35 assert (zenon_L117_ : (~(hskp4)) -> (hskp4) -> False). % 1.17/1.35 do 0 intro. intros zenon_H17f zenon_H180. % 1.17/1.35 exact (zenon_H17f zenon_H180). % 1.17/1.35 (* end of lemma zenon_L117_ *) % 1.17/1.35 assert (zenon_L118_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp3)\/(hskp4))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp4)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H181 zenon_H178 zenon_H177 zenon_H176 zenon_Hf zenon_H15a zenon_H17f. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H182 ]. % 1.17/1.35 apply (zenon_L116_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H15b | zenon_intro zenon_H180 ]. % 1.17/1.35 exact (zenon_H15a zenon_H15b). % 1.17/1.35 exact (zenon_H17f zenon_H180). % 1.17/1.35 (* end of lemma zenon_L118_ *) % 1.17/1.35 assert (zenon_L119_ : (forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96)))))) -> (ndr1_0) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H183 zenon_Hf zenon_H184 zenon_H185 zenon_H186. % 1.17/1.35 generalize (zenon_H183 (a593)). zenon_intro zenon_H187. % 1.17/1.35 apply (zenon_imply_s _ _ zenon_H187); [ zenon_intro zenon_He | zenon_intro zenon_H188 ]. % 1.17/1.35 exact (zenon_He zenon_Hf). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H18a | zenon_intro zenon_H189 ]. % 1.17/1.35 exact (zenon_H184 zenon_H18a). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H18c | zenon_intro zenon_H18b ]. % 1.17/1.35 exact (zenon_H18c zenon_H185). % 1.17/1.35 exact (zenon_H18b zenon_H186). % 1.17/1.35 (* end of lemma zenon_L119_ *) % 1.17/1.35 assert (zenon_L120_ : ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp17)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H18d zenon_H186 zenon_H185 zenon_H184 zenon_Hf zenon_H15a zenon_Ha. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H183 | zenon_intro zenon_H18e ]. % 1.17/1.35 apply (zenon_L119_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H15b | zenon_intro zenon_Hb ]. % 1.17/1.35 exact (zenon_H15a zenon_H15b). % 1.17/1.35 exact (zenon_Ha zenon_Hb). % 1.17/1.35 (* end of lemma zenon_L120_ *) % 1.17/1.35 assert (zenon_L121_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((hskp26)\/(hskp11)) -> (~(hskp11)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.17/1.35 do 0 intro. intros zenon_H8b zenon_H6a zenon_H5 zenon_H3 zenon_H54 zenon_H5f zenon_H62 zenon_H66. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.17/1.35 apply (zenon_L3_); trivial. % 1.17/1.35 apply (zenon_L23_); trivial. % 1.17/1.35 apply (zenon_L105_); trivial. % 1.17/1.35 (* end of lemma zenon_L121_ *) % 1.17/1.35 assert (zenon_L122_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((hskp26)\/(hskp11)) -> (~(hskp11)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> (ndr1_0) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> False). % 1.17/1.35 do 0 intro. intros zenon_H8e zenon_H6a zenon_H5 zenon_H3 zenon_H54 zenon_H5f zenon_H62 zenon_H66 zenon_Hf zenon_H184 zenon_H185 zenon_H186 zenon_H15a zenon_H18d. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.17/1.35 apply (zenon_L120_); trivial. % 1.17/1.35 apply (zenon_L121_); trivial. % 1.17/1.35 (* end of lemma zenon_L122_ *) % 1.17/1.35 assert (zenon_L123_ : (forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H18f zenon_Hf zenon_H119 zenon_Hca zenon_Hcb zenon_Hcc. % 1.17/1.35 generalize (zenon_H18f (a599)). zenon_intro zenon_H190. % 1.17/1.35 apply (zenon_imply_s _ _ zenon_H190); [ zenon_intro zenon_He | zenon_intro zenon_H191 ]. % 1.17/1.35 exact (zenon_He zenon_Hf). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H11a | zenon_intro zenon_Hcf ]. % 1.17/1.35 apply (zenon_L77_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_Hcf); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd1 ]. % 1.17/1.35 exact (zenon_Hd2 zenon_Hcb). % 1.17/1.35 exact (zenon_Hd1 zenon_Hcc). % 1.17/1.35 (* end of lemma zenon_L123_ *) % 1.17/1.35 assert (zenon_L124_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp14)) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (~(hskp2)) -> (~(hskp7)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H144 zenon_Hd3 zenon_Hf zenon_Hca zenon_Hcb zenon_Hcc zenon_H184 zenon_H185 zenon_H186 zenon_H192 zenon_H142 zenon_H8. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H119 | zenon_intro zenon_H145 ]. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H183 | zenon_intro zenon_H193 ]. % 1.17/1.35 apply (zenon_L119_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H18f | zenon_intro zenon_Hd4 ]. % 1.17/1.35 apply (zenon_L123_); trivial. % 1.17/1.35 exact (zenon_Hd3 zenon_Hd4). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H143 | zenon_intro zenon_H9 ]. % 1.17/1.35 exact (zenon_H142 zenon_H143). % 1.17/1.35 exact (zenon_H8 zenon_H9). % 1.17/1.35 (* end of lemma zenon_L124_ *) % 1.17/1.35 assert (zenon_L125_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp3))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> False). % 1.17/1.35 do 0 intro. intros zenon_H194 zenon_H8e zenon_H15c zenon_H184 zenon_H185 zenon_H186 zenon_H15a zenon_H18d. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.17/1.35 apply (zenon_L120_); trivial. % 1.17/1.35 apply (zenon_L101_); trivial. % 1.17/1.35 (* end of lemma zenon_L125_ *) % 1.17/1.35 assert (zenon_L126_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> False). % 1.17/1.35 do 0 intro. intros zenon_H197 zenon_H198 zenon_H8e zenon_H15c zenon_H15a zenon_H18d zenon_H192 zenon_H186 zenon_H185 zenon_H184 zenon_H142 zenon_H8 zenon_H144. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.17/1.35 apply (zenon_L124_); trivial. % 1.17/1.35 apply (zenon_L125_); trivial. % 1.17/1.35 (* end of lemma zenon_L126_ *) % 1.17/1.35 assert (zenon_L127_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp3))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> (~(hskp3)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (ndr1_0) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((hskp26)\/(hskp11)) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.17/1.35 do 0 intro. intros zenon_H19b zenon_H198 zenon_H15c zenon_H192 zenon_H142 zenon_H8 zenon_H144 zenon_H18d zenon_H15a zenon_H186 zenon_H185 zenon_H184 zenon_Hf zenon_H66 zenon_H62 zenon_H5f zenon_H54 zenon_H5 zenon_H6a zenon_H8e. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.17/1.35 apply (zenon_L122_); trivial. % 1.17/1.35 apply (zenon_L126_); trivial. % 1.17/1.35 (* end of lemma zenon_L127_ *) % 1.17/1.35 assert (zenon_L128_ : ((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> (~(hskp4)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H19c zenon_H181 zenon_H15a zenon_H17f. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.17/1.35 apply (zenon_L118_); trivial. % 1.17/1.35 (* end of lemma zenon_L128_ *) % 1.17/1.35 assert (zenon_L129_ : ((ndr1_0)/\((c1_1 (a593))/\((c3_1 (a593))/\(~(c2_1 (a593)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((hskp26)\/(hskp11)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp3))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> False). % 1.17/1.35 do 0 intro. intros zenon_H19f zenon_H1a0 zenon_H181 zenon_H17f zenon_H8e zenon_H6a zenon_H5 zenon_H54 zenon_H62 zenon_H66 zenon_H15a zenon_H18d zenon_H144 zenon_H8 zenon_H142 zenon_H192 zenon_H15c zenon_H198 zenon_H19b. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.17/1.35 apply (zenon_L127_); trivial. % 1.17/1.35 apply (zenon_L128_); trivial. % 1.17/1.35 (* end of lemma zenon_L129_ *) % 1.17/1.35 assert (zenon_L130_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (ndr1_0) -> (~(c0_1 (a592))) -> (~(c1_1 (a592))) -> (~(c3_1 (a592))) -> False). % 1.17/1.35 do 0 intro. intros zenon_Ha7 zenon_Hf zenon_H1a3 zenon_H1a4 zenon_H1a5. % 1.17/1.35 generalize (zenon_Ha7 (a592)). zenon_intro zenon_H1a6. % 1.17/1.35 apply (zenon_imply_s _ _ zenon_H1a6); [ zenon_intro zenon_He | zenon_intro zenon_H1a7 ]. % 1.17/1.35 exact (zenon_He zenon_Hf). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1a8 ]. % 1.17/1.35 exact (zenon_H1a3 zenon_H1a9). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1aa ]. % 1.17/1.35 exact (zenon_H1a4 zenon_H1ab). % 1.17/1.35 exact (zenon_H1a5 zenon_H1aa). % 1.17/1.35 (* end of lemma zenon_L130_ *) % 1.17/1.35 assert (zenon_L131_ : (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10)))))) -> (ndr1_0) -> (~(c0_1 (a592))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H167 zenon_Hf zenon_H1a3 zenon_Ha7 zenon_H1a5 zenon_H1ac. % 1.17/1.35 generalize (zenon_H167 (a592)). zenon_intro zenon_H1ad. % 1.17/1.35 apply (zenon_imply_s _ _ zenon_H1ad); [ zenon_intro zenon_He | zenon_intro zenon_H1ae ]. % 1.17/1.35 exact (zenon_He zenon_Hf). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1af ]. % 1.17/1.35 exact (zenon_H1a3 zenon_H1a9). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1b0 ]. % 1.17/1.35 apply (zenon_L130_); trivial. % 1.17/1.35 exact (zenon_H1b0 zenon_H1ac). % 1.17/1.35 (* end of lemma zenon_L131_ *) % 1.17/1.35 assert (zenon_L132_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (~(c0_1 (a592))) -> (c2_1 (a583)) -> (c1_1 (a583)) -> (c0_1 (a583)) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H174 zenon_H1ac zenon_H1a5 zenon_Ha7 zenon_H1a3 zenon_H13 zenon_H12 zenon_H11 zenon_Hf zenon_H46. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H167 | zenon_intro zenon_H175 ]. % 1.17/1.35 apply (zenon_L131_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H10 | zenon_intro zenon_H47 ]. % 1.17/1.35 apply (zenon_L9_); trivial. % 1.17/1.35 exact (zenon_H46 zenon_H47). % 1.17/1.35 (* end of lemma zenon_L132_ *) % 1.17/1.35 assert (zenon_L133_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp8)) -> ((hskp26)\/((hskp12)\/(hskp8))) -> False). % 1.17/1.35 do 0 intro. intros zenon_H66 zenon_H181 zenon_H17f zenon_H15a zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H174 zenon_H46 zenon_H40 zenon_H48. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.17/1.35 apply (zenon_L19_); trivial. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_Hf. zenon_intro zenon_H63. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H11. zenon_intro zenon_H64. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H182 ]. % 1.17/1.35 apply (zenon_L132_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H15b | zenon_intro zenon_H180 ]. % 1.17/1.35 exact (zenon_H15a zenon_H15b). % 1.17/1.35 exact (zenon_H17f zenon_H180). % 1.17/1.35 (* end of lemma zenon_L133_ *) % 1.17/1.35 assert (zenon_L134_ : (forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43)))))) -> (ndr1_0) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H1b1 zenon_Hf zenon_H1a3 zenon_H1a5 zenon_H1ac. % 1.17/1.35 generalize (zenon_H1b1 (a592)). zenon_intro zenon_H1b2. % 1.17/1.35 apply (zenon_imply_s _ _ zenon_H1b2); [ zenon_intro zenon_He | zenon_intro zenon_H1b3 ]. % 1.17/1.35 exact (zenon_He zenon_Hf). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1b4 ]. % 1.17/1.35 exact (zenon_H1a3 zenon_H1a9). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1b0 ]. % 1.17/1.35 exact (zenon_H1a5 zenon_H1aa). % 1.17/1.35 exact (zenon_H1b0 zenon_H1ac). % 1.17/1.35 (* end of lemma zenon_L134_ *) % 1.17/1.35 assert (zenon_L135_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (ndr1_0) -> (~(hskp8)) -> (~(hskp18)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H1b5 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_Hf zenon_H40 zenon_H100. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H1b6 ]. % 1.17/1.35 apply (zenon_L134_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H41 | zenon_intro zenon_H101 ]. % 1.17/1.35 exact (zenon_H40 zenon_H41). % 1.17/1.35 exact (zenon_H100 zenon_H101). % 1.17/1.35 (* end of lemma zenon_L135_ *) % 1.17/1.35 assert (zenon_L136_ : (forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34)))))) -> (ndr1_0) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> False). % 1.17/1.35 do 0 intro. intros zenon_Heb zenon_Hf zenon_H10b zenon_H10c zenon_H114. % 1.17/1.35 generalize (zenon_Heb (a610)). zenon_intro zenon_H1b7. % 1.17/1.35 apply (zenon_imply_s _ _ zenon_H1b7); [ zenon_intro zenon_He | zenon_intro zenon_H1b8 ]. % 1.17/1.35 exact (zenon_He zenon_Hf). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H111 | zenon_intro zenon_H1b9 ]. % 1.17/1.35 exact (zenon_H10b zenon_H111). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H113 | zenon_intro zenon_H118 ]. % 1.17/1.35 exact (zenon_H10c zenon_H113). % 1.17/1.35 exact (zenon_H118 zenon_H114). % 1.17/1.35 (* end of lemma zenon_L136_ *) % 1.17/1.35 assert (zenon_L137_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H1ba zenon_H114 zenon_H10c zenon_H10b zenon_H6e zenon_H6d zenon_H6c zenon_Hf zenon_Had. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_Heb | zenon_intro zenon_H1bb ]. % 1.17/1.35 apply (zenon_L136_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H6b | zenon_intro zenon_Hae ]. % 1.17/1.35 apply (zenon_L28_); trivial. % 1.17/1.35 exact (zenon_Had zenon_Hae). % 1.17/1.35 (* end of lemma zenon_L137_ *) % 1.17/1.35 assert (zenon_L138_ : ((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> False). % 1.17/1.35 do 0 intro. intros zenon_H61 zenon_Hc0 zenon_H1c zenon_H1a zenon_H10b zenon_H10c zenon_H114 zenon_H6c zenon_H6d zenon_H6e zenon_H1ba. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_Hf. zenon_intro zenon_H63. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H11. zenon_intro zenon_H64. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.17/1.35 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.17/1.35 apply (zenon_L137_); trivial. % 1.17/1.35 apply (zenon_L48_); trivial. % 1.17/1.35 (* end of lemma zenon_L138_ *) % 1.17/1.35 assert (zenon_L139_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(hskp11)) -> ((hskp26)\/(hskp11)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H127 zenon_H66 zenon_Hc0 zenon_H1c zenon_H1a zenon_H6c zenon_H6d zenon_H6e zenon_H1ba zenon_H3 zenon_H5. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.17/1.35 apply (zenon_L3_); trivial. % 1.17/1.35 apply (zenon_L138_); trivial. % 1.17/1.35 (* end of lemma zenon_L139_ *) % 1.17/1.35 assert (zenon_L140_ : ((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(hskp11)) -> ((hskp26)\/(hskp11)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> False). % 1.17/1.35 do 0 intro. intros zenon_H1bc zenon_H12c zenon_H66 zenon_Hc0 zenon_H1c zenon_H1a zenon_H1ba zenon_H3 zenon_H5 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H40 zenon_H1b5. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.17/1.35 apply (zenon_L135_); trivial. % 1.17/1.35 apply (zenon_L139_); trivial. % 1.17/1.35 (* end of lemma zenon_L140_ *) % 1.17/1.35 assert (zenon_L141_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(hskp11)) -> ((hskp26)\/(hskp11)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (~(hskp3)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp3)\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.17/1.35 do 0 intro. intros zenon_H1bf zenon_H12c zenon_Hc0 zenon_H1c zenon_H1a zenon_H1ba zenon_H3 zenon_H5 zenon_H1b5 zenon_H48 zenon_H40 zenon_H174 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H15a zenon_H17f zenon_H181 zenon_H66. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.17/1.35 apply (zenon_L133_); trivial. % 1.17/1.35 apply (zenon_L140_); trivial. % 1.17/1.35 (* end of lemma zenon_L141_ *) % 1.17/1.35 assert (zenon_L142_ : (forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57)))))) -> (ndr1_0) -> (~(c3_1 (a592))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H1c0 zenon_Hf zenon_H1a5 zenon_Ha7 zenon_H1a3 zenon_H1ac. % 1.17/1.35 generalize (zenon_H1c0 (a592)). zenon_intro zenon_H1c1. % 1.17/1.35 apply (zenon_imply_s _ _ zenon_H1c1); [ zenon_intro zenon_He | zenon_intro zenon_H1c2 ]. % 1.17/1.35 exact (zenon_He zenon_Hf). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1af ]. % 1.17/1.35 exact (zenon_H1a5 zenon_H1aa). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1b0 ]. % 1.17/1.35 apply (zenon_L130_); trivial. % 1.17/1.35 exact (zenon_H1b0 zenon_H1ac). % 1.17/1.35 (* end of lemma zenon_L142_ *) % 1.17/1.35 assert (zenon_L143_ : ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (~(c3_1 (a592))) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H1c3 zenon_Hcc zenon_Hcb zenon_Hca zenon_H1ac zenon_H1a3 zenon_Ha7 zenon_H1a5 zenon_Hf zenon_Had. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H1c4 ]. % 1.17/1.35 apply (zenon_L51_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H1c0 | zenon_intro zenon_Hae ]. % 1.17/1.35 apply (zenon_L142_); trivial. % 1.17/1.35 exact (zenon_Had zenon_Hae). % 1.17/1.35 (* end of lemma zenon_L143_ *) % 1.17/1.35 assert (zenon_L144_ : (forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2)))))) -> (ndr1_0) -> (~(c1_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H1c5 zenon_Hf zenon_H1a4 zenon_H1a5 zenon_H1ac. % 1.17/1.35 generalize (zenon_H1c5 (a592)). zenon_intro zenon_H1c6. % 1.17/1.35 apply (zenon_imply_s _ _ zenon_H1c6); [ zenon_intro zenon_He | zenon_intro zenon_H1c7 ]. % 1.17/1.35 exact (zenon_He zenon_Hf). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1b4 ]. % 1.17/1.35 exact (zenon_H1a4 zenon_H1ab). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1b0 ]. % 1.17/1.35 exact (zenon_H1a5 zenon_H1aa). % 1.17/1.35 exact (zenon_H1b0 zenon_H1ac). % 1.17/1.35 (* end of lemma zenon_L144_ *) % 1.17/1.35 assert (zenon_L145_ : (forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57)))))) -> (ndr1_0) -> (~(c3_1 (a592))) -> (forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2)))))) -> (c2_1 (a592)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H1c0 zenon_Hf zenon_H1a5 zenon_H1c5 zenon_H1ac. % 1.17/1.35 generalize (zenon_H1c0 (a592)). zenon_intro zenon_H1c1. % 1.17/1.35 apply (zenon_imply_s _ _ zenon_H1c1); [ zenon_intro zenon_He | zenon_intro zenon_H1c2 ]. % 1.17/1.35 exact (zenon_He zenon_Hf). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1af ]. % 1.17/1.35 exact (zenon_H1a5 zenon_H1aa). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1b0 ]. % 1.17/1.35 apply (zenon_L144_); trivial. % 1.17/1.35 exact (zenon_H1b0 zenon_H1ac). % 1.17/1.35 (* end of lemma zenon_L145_ *) % 1.17/1.35 assert (zenon_L146_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(c0_1 (a592))) -> (~(hskp28)) -> (ndr1_0) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(hskp2)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H1c8 zenon_H1a3 zenon_Had zenon_Hf zenon_H1a5 zenon_H1ac zenon_Hca zenon_Hcb zenon_Hcc zenon_H1c3 zenon_H142. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1c9 ]. % 1.17/1.35 apply (zenon_L143_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H143 ]. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H1c4 ]. % 1.17/1.35 apply (zenon_L51_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H1c0 | zenon_intro zenon_Hae ]. % 1.17/1.35 apply (zenon_L145_); trivial. % 1.17/1.35 exact (zenon_Had zenon_Hae). % 1.17/1.35 exact (zenon_H142 zenon_H143). % 1.17/1.35 (* end of lemma zenon_L146_ *) % 1.17/1.35 assert (zenon_L147_ : ((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> False). % 1.17/1.35 do 0 intro. intros zenon_H61 zenon_Hc0 zenon_H1c zenon_H1a zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H142 zenon_H1c8. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_Hf. zenon_intro zenon_H63. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H11. zenon_intro zenon_H64. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.17/1.35 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.17/1.35 apply (zenon_L146_); trivial. % 1.17/1.35 apply (zenon_L48_); trivial. % 1.17/1.35 (* end of lemma zenon_L147_ *) % 1.17/1.35 assert (zenon_L148_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp12)) -> (~(hskp8)) -> ((hskp26)\/((hskp12)\/(hskp8))) -> False). % 1.17/1.35 do 0 intro. intros zenon_H66 zenon_Hc0 zenon_H1c zenon_H1a zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H142 zenon_H1c8 zenon_H46 zenon_H40 zenon_H48. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.17/1.35 apply (zenon_L19_); trivial. % 1.17/1.35 apply (zenon_L147_); trivial. % 1.17/1.35 (* end of lemma zenon_L148_ *) % 1.17/1.35 assert (zenon_L149_ : (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (ndr1_0) -> (~(c0_1 (a592))) -> (forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40)))))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H119 zenon_Hf zenon_H1a3 zenon_H14a zenon_H1a5 zenon_H1ac. % 1.17/1.35 generalize (zenon_H119 (a592)). zenon_intro zenon_H1ca. % 1.17/1.35 apply (zenon_imply_s _ _ zenon_H1ca); [ zenon_intro zenon_He | zenon_intro zenon_H1cb ]. % 1.17/1.35 exact (zenon_He zenon_Hf). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1cc ]. % 1.17/1.35 exact (zenon_H1a3 zenon_H1a9). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1b0 ]. % 1.17/1.35 generalize (zenon_H14a (a592)). zenon_intro zenon_H1cd. % 1.17/1.35 apply (zenon_imply_s _ _ zenon_H1cd); [ zenon_intro zenon_He | zenon_intro zenon_H1ce ]. % 1.17/1.35 exact (zenon_He zenon_Hf). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1ce); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1cf ]. % 1.17/1.35 exact (zenon_H1a3 zenon_H1a9). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1aa | zenon_intro zenon_H1a4 ]. % 1.17/1.35 exact (zenon_H1a5 zenon_H1aa). % 1.17/1.35 exact (zenon_H1a4 zenon_H1ab). % 1.17/1.35 exact (zenon_H1b0 zenon_H1ac). % 1.17/1.35 (* end of lemma zenon_L149_ *) % 1.17/1.35 assert (zenon_L150_ : ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (ndr1_0) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H155 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H119 zenon_Hcc zenon_Hcb zenon_Hca zenon_Hf zenon_H6c zenon_H6d zenon_H6e. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14a | zenon_intro zenon_H158 ]. % 1.17/1.35 apply (zenon_L149_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H6b ]. % 1.17/1.35 apply (zenon_L51_); trivial. % 1.17/1.35 apply (zenon_L28_); trivial. % 1.17/1.35 (* end of lemma zenon_L150_ *) % 1.17/1.35 assert (zenon_L151_ : ((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(hskp5)) -> (~(hskp6)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H1bc zenon_H128 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H155 zenon_H125 zenon_H42. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H119 | zenon_intro zenon_H12b ]. % 1.17/1.35 apply (zenon_L150_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H126 | zenon_intro zenon_H43 ]. % 1.17/1.35 exact (zenon_H125 zenon_H126). % 1.17/1.35 exact (zenon_H42 zenon_H43). % 1.17/1.35 (* end of lemma zenon_L151_ *) % 1.17/1.35 assert (zenon_L152_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.17/1.35 do 0 intro. intros zenon_H197 zenon_H1bf zenon_H128 zenon_H42 zenon_H125 zenon_H155 zenon_H48 zenon_H40 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H1c3 zenon_H1a zenon_H1c zenon_Hc0 zenon_H66. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.17/1.35 apply (zenon_L148_); trivial. % 1.17/1.35 apply (zenon_L151_); trivial. % 1.17/1.35 (* end of lemma zenon_L152_ *) % 1.17/1.35 assert (zenon_L153_ : ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp12)) -> (~(hskp8)) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(hskp14)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> False). % 1.17/1.35 do 0 intro. intros zenon_H6a zenon_H66 zenon_H62 zenon_H5f zenon_H46 zenon_H40 zenon_H48 zenon_Hf zenon_Hca zenon_Hcb zenon_Hcc zenon_Hd3 zenon_Hd5. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.17/1.35 apply (zenon_L53_); trivial. % 1.17/1.35 apply (zenon_L26_); trivial. % 1.17/1.35 (* end of lemma zenon_L153_ *) % 1.17/1.35 assert (zenon_L154_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (~(hskp16)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(hskp27)) -> (~(hskp8)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> (~(hskp15)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (ndr1_0) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> False). % 1.17/1.35 do 0 intro. intros zenon_Hc0 zenon_H174 zenon_H46 zenon_H107 zenon_Hfb zenon_Hd8 zenon_Hd7 zenon_H75 zenon_H40 zenon_H77 zenon_H15e zenon_H15f zenon_H160 zenon_H83 zenon_H85 zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_Hf zenon_H142 zenon_H1c8. % 1.17/1.35 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.17/1.35 apply (zenon_L146_); trivial. % 1.17/1.35 apply (zenon_L112_); trivial. % 1.17/1.35 (* end of lemma zenon_L154_ *) % 1.17/1.35 assert (zenon_L155_ : (~(hskp25)) -> (hskp25) -> False). % 1.17/1.35 do 0 intro. intros zenon_H1d0 zenon_H1d1. % 1.17/1.35 exact (zenon_H1d0 zenon_H1d1). % 1.17/1.35 (* end of lemma zenon_L155_ *) % 1.17/1.35 assert (zenon_L156_ : ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> (~(c2_1 (a606))) -> (ndr1_0) -> (~(hskp25)) -> (~(hskp9)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H1d2 zenon_H130 zenon_H12f zenon_H12e zenon_Hf zenon_H1d0 zenon_H5f. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H12d | zenon_intro zenon_H1d3 ]. % 1.17/1.35 apply (zenon_L83_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H60 ]. % 1.17/1.35 exact (zenon_H1d0 zenon_H1d1). % 1.17/1.35 exact (zenon_H5f zenon_H60). % 1.17/1.35 (* end of lemma zenon_L156_ *) % 1.17/1.35 assert (zenon_L157_ : (forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2)))))) -> (ndr1_0) -> (~(c1_1 (a651))) -> (~(c3_1 (a651))) -> (c2_1 (a651)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H1c5 zenon_Hf zenon_H1d4 zenon_H1d5 zenon_H1d6. % 1.17/1.35 generalize (zenon_H1c5 (a651)). zenon_intro zenon_H1d7. % 1.17/1.35 apply (zenon_imply_s _ _ zenon_H1d7); [ zenon_intro zenon_He | zenon_intro zenon_H1d8 ]. % 1.17/1.35 exact (zenon_He zenon_Hf). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1da | zenon_intro zenon_H1d9 ]. % 1.17/1.35 exact (zenon_H1d4 zenon_H1da). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1dc | zenon_intro zenon_H1db ]. % 1.17/1.35 exact (zenon_H1d5 zenon_H1dc). % 1.17/1.35 exact (zenon_H1db zenon_H1d6). % 1.17/1.35 (* end of lemma zenon_L157_ *) % 1.17/1.35 assert (zenon_L158_ : ((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp12)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a651)) -> (~(c3_1 (a651))) -> (~(c1_1 (a651))) -> (~(hskp2)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H61 zenon_H1c8 zenon_H46 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H174 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_H142. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_Hf. zenon_intro zenon_H63. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H11. zenon_intro zenon_H64. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1c9 ]. % 1.17/1.35 apply (zenon_L132_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H143 ]. % 1.17/1.35 apply (zenon_L157_); trivial. % 1.17/1.35 exact (zenon_H142 zenon_H143). % 1.17/1.35 (* end of lemma zenon_L158_ *) % 1.17/1.35 assert (zenon_L159_ : ((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp8)) -> ((hskp26)\/((hskp12)\/(hskp8))) -> False). % 1.17/1.35 do 0 intro. intros zenon_H1dd zenon_H66 zenon_H1c8 zenon_H142 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H174 zenon_H46 zenon_H40 zenon_H48. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_Hf. zenon_intro zenon_H1de. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d6. zenon_intro zenon_H1df. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.17/1.35 apply (zenon_L19_); trivial. % 1.17/1.35 apply (zenon_L158_); trivial. % 1.17/1.35 (* end of lemma zenon_L159_ *) % 1.17/1.35 assert (zenon_L160_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp8)) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp9)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> False). % 1.17/1.35 do 0 intro. intros zenon_H137 zenon_H1e0 zenon_H66 zenon_H1c8 zenon_H142 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H174 zenon_H46 zenon_H40 zenon_H48 zenon_H5f zenon_H1d2. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ]. % 1.17/1.35 apply (zenon_L156_); trivial. % 1.17/1.35 apply (zenon_L159_); trivial. % 1.17/1.35 (* end of lemma zenon_L160_ *) % 1.17/1.35 assert (zenon_L161_ : ((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp12)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (~(hskp1)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H61 zenon_Hc1 zenon_H46 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H174 zenon_H92 zenon_H91 zenon_H90 zenon_Hb1. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_Hf. zenon_intro zenon_H63. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H11. zenon_intro zenon_H64. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.17/1.35 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hc5 ]. % 1.17/1.35 apply (zenon_L132_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H8f | zenon_intro zenon_Hb2 ]. % 1.17/1.35 apply (zenon_L39_); trivial. % 1.17/1.35 exact (zenon_Hb1 zenon_Hb2). % 1.17/1.35 (* end of lemma zenon_L161_ *) % 1.17/1.35 assert (zenon_L162_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp8)) -> ((hskp26)\/((hskp12)\/(hskp8))) -> False). % 1.17/1.35 do 0 intro. intros zenon_Hc6 zenon_H66 zenon_Hc1 zenon_Hb1 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H174 zenon_H46 zenon_H40 zenon_H48. % 1.17/1.35 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.17/1.35 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.17/1.35 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.17/1.35 apply (zenon_L19_); trivial. % 1.17/1.35 apply (zenon_L161_); trivial. % 1.17/1.35 (* end of lemma zenon_L162_ *) % 1.17/1.35 assert (zenon_L163_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (ndr1_0) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(hskp12)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.17/1.35 do 0 intro. intros zenon_H198 zenon_H1e1 zenon_Hc1 zenon_Hb1 zenon_H8a zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H1c3 zenon_H85 zenon_H160 zenon_H15f zenon_H15e zenon_H77 zenon_H107 zenon_H174 zenon_Hc0 zenon_H1d2 zenon_H1e0 zenon_H13b zenon_Hd5 zenon_Hcc zenon_Hcb zenon_Hca zenon_Hf zenon_H48 zenon_H40 zenon_H46 zenon_H5f zenon_H62 zenon_H66 zenon_H6a. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.17/1.35 apply (zenon_L153_); trivial. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.17/1.35 apply (zenon_L154_); trivial. % 1.17/1.35 apply (zenon_L113_); trivial. % 1.17/1.35 apply (zenon_L160_); trivial. % 1.17/1.35 apply (zenon_L162_); trivial. % 1.17/1.35 (* end of lemma zenon_L163_ *) % 1.17/1.35 assert (zenon_L164_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(hskp8)) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((hskp26)\/(hskp11)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.17/1.35 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H1bf zenon_H128 zenon_H42 zenon_H125 zenon_H155 zenon_H40 zenon_H48 zenon_Hd5 zenon_H13b zenon_H1e0 zenon_H1d2 zenon_Hc0 zenon_H174 zenon_H107 zenon_H77 zenon_H85 zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_H142 zenon_H1c8 zenon_H8a zenon_Hb1 zenon_Hc1 zenon_H1e1 zenon_H198 zenon_H31 zenon_H5 zenon_H5f zenon_H62 zenon_H66 zenon_H6a. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.17/1.35 apply (zenon_L106_); trivial. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.17/1.35 apply (zenon_L163_); trivial. % 1.17/1.35 apply (zenon_L151_); trivial. % 1.17/1.35 (* end of lemma zenon_L164_ *) % 1.17/1.35 assert (zenon_L165_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (c1_1 (a612)) -> (c3_1 (a612)) -> (c2_1 (a612)) -> (ndr1_0) -> (forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (~(hskp10)) -> (~(hskp4)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H1e5 zenon_Hb3 zenon_Hb5 zenon_Hb4 zenon_Hf zenon_H10 zenon_H1a zenon_H17f. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_Hec | zenon_intro zenon_H1e6 ]. % 1.17/1.35 apply (zenon_L109_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H1b | zenon_intro zenon_H180 ]. % 1.17/1.35 exact (zenon_H1a zenon_H1b). % 1.17/1.35 exact (zenon_H17f zenon_H180). % 1.17/1.35 (* end of lemma zenon_L165_ *) % 1.17/1.35 assert (zenon_L166_ : ((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (c3_1 (a636)) -> (~(c1_1 (a636))) -> (~(c0_1 (a636))) -> (~(hskp4)) -> (~(hskp10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (~(hskp9)) -> False). % 1.17/1.35 do 0 intro. intros zenon_Hbc zenon_H62 zenon_H39 zenon_H38 zenon_H37 zenon_H17f zenon_H1a zenon_H1e5 zenon_H5f. % 1.17/1.35 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.17/1.35 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.17/1.35 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H36 | zenon_intro zenon_H65 ]. % 1.17/1.35 apply (zenon_L14_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H10 | zenon_intro zenon_H60 ]. % 1.17/1.35 apply (zenon_L165_); trivial. % 1.17/1.35 exact (zenon_H5f zenon_H60). % 1.17/1.35 (* end of lemma zenon_L166_ *) % 1.17/1.35 assert (zenon_L167_ : ((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp10)) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> False). % 1.17/1.35 do 0 intro. intros zenon_H67 zenon_Hc0 zenon_H62 zenon_H5f zenon_H1a zenon_H17f zenon_H1e5 zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H142 zenon_H1c8. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Hf. zenon_intro zenon_H68. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H39. zenon_intro zenon_H69. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H37. zenon_intro zenon_H38. % 1.17/1.35 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.17/1.35 apply (zenon_L146_); trivial. % 1.17/1.35 apply (zenon_L166_); trivial. % 1.17/1.35 (* end of lemma zenon_L167_ *) % 1.17/1.35 assert (zenon_L168_ : ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp10)) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(hskp14)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> False). % 1.17/1.35 do 0 intro. intros zenon_H6a zenon_Hc0 zenon_H62 zenon_H5f zenon_H1a zenon_H17f zenon_H1e5 zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_H142 zenon_H1c8 zenon_Hf zenon_Hca zenon_Hcb zenon_Hcc zenon_Hd3 zenon_Hd5. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.17/1.35 apply (zenon_L53_); trivial. % 1.17/1.35 apply (zenon_L167_); trivial. % 1.17/1.35 (* end of lemma zenon_L168_ *) % 1.17/1.35 assert (zenon_L169_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp3))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (~(hskp4)) -> (~(hskp10)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> (~(hskp3)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (ndr1_0) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((hskp26)\/(hskp11)) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.17/1.35 do 0 intro. intros zenon_H19b zenon_H198 zenon_H15c zenon_Hd5 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H1c3 zenon_H1e5 zenon_H17f zenon_H1a zenon_Hc0 zenon_H18d zenon_H15a zenon_H186 zenon_H185 zenon_H184 zenon_Hf zenon_H66 zenon_H62 zenon_H5f zenon_H54 zenon_H5 zenon_H6a zenon_H8e. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.17/1.35 apply (zenon_L122_); trivial. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.17/1.35 apply (zenon_L168_); trivial. % 1.17/1.35 apply (zenon_L125_); trivial. % 1.17/1.35 (* end of lemma zenon_L169_ *) % 1.17/1.35 assert (zenon_L170_ : ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (~(c3_1 (a592))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp15)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H1e7 zenon_H1ac zenon_H1a3 zenon_Ha7 zenon_H1a5 zenon_Hf zenon_H6 zenon_H83. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1e8 ]. % 1.17/1.35 apply (zenon_L142_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H7 | zenon_intro zenon_H84 ]. % 1.17/1.35 exact (zenon_H6 zenon_H7). % 1.17/1.35 exact (zenon_H83 zenon_H84). % 1.17/1.35 (* end of lemma zenon_L170_ *) % 1.17/1.35 assert (zenon_L171_ : ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a592)) -> (forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2)))))) -> (~(c3_1 (a592))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp15)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H1e7 zenon_H1ac zenon_H1c5 zenon_H1a5 zenon_Hf zenon_H6 zenon_H83. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1e8 ]. % 1.17/1.35 apply (zenon_L145_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H7 | zenon_intro zenon_H84 ]. % 1.17/1.35 exact (zenon_H6 zenon_H7). % 1.17/1.35 exact (zenon_H83 zenon_H84). % 1.17/1.35 (* end of lemma zenon_L171_ *) % 1.17/1.35 assert (zenon_L172_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(c0_1 (a592))) -> (~(hskp15)) -> (~(hskp29)) -> (ndr1_0) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(hskp2)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H1c8 zenon_H1a3 zenon_H83 zenon_H6 zenon_Hf zenon_H1a5 zenon_H1ac zenon_H1e7 zenon_H142. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1c9 ]. % 1.17/1.35 apply (zenon_L170_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H143 ]. % 1.17/1.35 apply (zenon_L171_); trivial. % 1.17/1.35 exact (zenon_H142 zenon_H143). % 1.17/1.35 (* end of lemma zenon_L172_ *) % 1.17/1.35 assert (zenon_L173_ : (forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))) -> (ndr1_0) -> (c0_1 (a678)) -> (c2_1 (a678)) -> (c3_1 (a678)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H18f zenon_Hf zenon_H1f zenon_H1d zenon_H1e. % 1.17/1.35 generalize (zenon_H18f (a678)). zenon_intro zenon_H1e9. % 1.17/1.35 apply (zenon_imply_s _ _ zenon_H1e9); [ zenon_intro zenon_He | zenon_intro zenon_H1ea ]. % 1.17/1.35 exact (zenon_He zenon_Hf). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H2c | zenon_intro zenon_H25 ]. % 1.17/1.35 exact (zenon_H2c zenon_H1f). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H25); [ zenon_intro zenon_H2d | zenon_intro zenon_H2b ]. % 1.17/1.35 exact (zenon_H2d zenon_H1d). % 1.17/1.35 exact (zenon_H2b zenon_H1e). % 1.17/1.35 (* end of lemma zenon_L173_ *) % 1.17/1.35 assert (zenon_L174_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (~(c0_1 (a592))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (ndr1_0) -> (c0_1 (a678)) -> (c2_1 (a678)) -> (c3_1 (a678)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H1eb zenon_H1ac zenon_H1a5 zenon_Ha7 zenon_H1a3 zenon_H4d zenon_H4c zenon_H4b zenon_Hf zenon_H1f zenon_H1d zenon_H1e. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1ec ]. % 1.17/1.35 apply (zenon_L131_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H18f ]. % 1.17/1.35 apply (zenon_L20_); trivial. % 1.17/1.35 apply (zenon_L173_); trivial. % 1.17/1.35 (* end of lemma zenon_L174_ *) % 1.17/1.35 assert (zenon_L175_ : (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10)))))) -> (ndr1_0) -> (~(c0_1 (a592))) -> (forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2)))))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H167 zenon_Hf zenon_H1a3 zenon_H1c5 zenon_H1a5 zenon_H1ac. % 1.17/1.35 generalize (zenon_H167 (a592)). zenon_intro zenon_H1ad. % 1.17/1.35 apply (zenon_imply_s _ _ zenon_H1ad); [ zenon_intro zenon_He | zenon_intro zenon_H1ae ]. % 1.17/1.35 exact (zenon_He zenon_Hf). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1af ]. % 1.17/1.35 exact (zenon_H1a3 zenon_H1a9). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1b0 ]. % 1.17/1.35 apply (zenon_L144_); trivial. % 1.17/1.35 exact (zenon_H1b0 zenon_H1ac). % 1.17/1.35 (* end of lemma zenon_L175_ *) % 1.17/1.35 assert (zenon_L176_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2)))))) -> (~(c0_1 (a592))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (ndr1_0) -> (c0_1 (a678)) -> (c2_1 (a678)) -> (c3_1 (a678)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H1eb zenon_H1ac zenon_H1a5 zenon_H1c5 zenon_H1a3 zenon_H4d zenon_H4c zenon_H4b zenon_Hf zenon_H1f zenon_H1d zenon_H1e. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1ec ]. % 1.17/1.35 apply (zenon_L175_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H18f ]. % 1.17/1.35 apply (zenon_L20_); trivial. % 1.17/1.35 apply (zenon_L173_); trivial. % 1.17/1.35 (* end of lemma zenon_L176_ *) % 1.17/1.35 assert (zenon_L177_ : ((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp2)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H32 zenon_H1c8 zenon_H4b zenon_H4c zenon_H4d zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H1eb zenon_H142. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hf. zenon_intro zenon_H33. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H1f. zenon_intro zenon_H34. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1c9 ]. % 1.17/1.35 apply (zenon_L174_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H143 ]. % 1.17/1.35 apply (zenon_L176_); trivial. % 1.17/1.35 exact (zenon_H142 zenon_H143). % 1.17/1.35 (* end of lemma zenon_L177_ *) % 1.17/1.35 assert (zenon_L178_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> False). % 1.17/1.35 do 0 intro. intros zenon_H8b zenon_H30 zenon_H1eb zenon_H1e7 zenon_H83 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_H142 zenon_H1c8. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.17/1.35 apply (zenon_L172_); trivial. % 1.17/1.35 apply (zenon_L177_); trivial. % 1.17/1.35 (* end of lemma zenon_L178_ *) % 1.17/1.35 assert (zenon_L179_ : (forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53)))))) -> (ndr1_0) -> (forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H56 zenon_Hf zenon_H18f zenon_H15f zenon_H160. % 1.17/1.35 generalize (zenon_H56 (a598)). zenon_intro zenon_H1ed. % 1.17/1.35 apply (zenon_imply_s _ _ zenon_H1ed); [ zenon_intro zenon_He | zenon_intro zenon_H1ee ]. % 1.17/1.35 exact (zenon_He zenon_Hf). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1ef | zenon_intro zenon_H163 ]. % 1.17/1.35 generalize (zenon_H18f (a598)). zenon_intro zenon_H1f0. % 1.17/1.35 apply (zenon_imply_s _ _ zenon_H1f0); [ zenon_intro zenon_He | zenon_intro zenon_H1f1 ]. % 1.17/1.35 exact (zenon_He zenon_Hf). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H166 | zenon_intro zenon_H1f2 ]. % 1.17/1.35 exact (zenon_H166 zenon_H15f). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H165 ]. % 1.17/1.35 exact (zenon_H1f3 zenon_H1ef). % 1.17/1.35 exact (zenon_H165 zenon_H160). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H166 | zenon_intro zenon_H165 ]. % 1.17/1.35 exact (zenon_H166 zenon_H15f). % 1.17/1.35 exact (zenon_H165 zenon_H160). % 1.17/1.35 (* end of lemma zenon_L179_ *) % 1.17/1.35 assert (zenon_L180_ : (~(hskp24)) -> (hskp24) -> False). % 1.17/1.35 do 0 intro. intros zenon_H1f4 zenon_H1f5. % 1.17/1.35 exact (zenon_H1f4 zenon_H1f5). % 1.17/1.35 (* end of lemma zenon_L180_ *) % 1.17/1.35 assert (zenon_L181_ : ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))) -> (ndr1_0) -> (~(hskp5)) -> (~(hskp24)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H1f6 zenon_H160 zenon_H15f zenon_H18f zenon_Hf zenon_H125 zenon_H1f4. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H56 | zenon_intro zenon_H1f7 ]. % 1.17/1.35 apply (zenon_L179_); trivial. % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H126 | zenon_intro zenon_H1f5 ]. % 1.17/1.35 exact (zenon_H125 zenon_H126). % 1.17/1.35 exact (zenon_H1f4 zenon_H1f5). % 1.17/1.35 (* end of lemma zenon_L181_ *) % 1.17/1.35 assert (zenon_L182_ : (forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55)))))) -> (ndr1_0) -> (~(c3_1 (a648))) -> (c0_1 (a648)) -> (c1_1 (a648)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H1f8 zenon_Hf zenon_H1f9 zenon_H1fa zenon_H1fb. % 1.17/1.35 generalize (zenon_H1f8 (a648)). zenon_intro zenon_H1fc. % 1.17/1.35 apply (zenon_imply_s _ _ zenon_H1fc); [ zenon_intro zenon_He | zenon_intro zenon_H1fd ]. % 1.17/1.35 exact (zenon_He zenon_Hf). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H1ff | zenon_intro zenon_H1fe ]. % 1.17/1.35 exact (zenon_H1f9 zenon_H1ff). % 1.17/1.35 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H201 | zenon_intro zenon_H200 ]. % 1.17/1.35 exact (zenon_H201 zenon_H1fa). % 1.17/1.35 exact (zenon_H200 zenon_H1fb). % 1.17/1.35 (* end of lemma zenon_L182_ *) % 1.17/1.35 assert (zenon_L183_ : ((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (~(hskp16)) -> False). % 1.17/1.35 do 0 intro. intros zenon_H202 zenon_H203 zenon_H92 zenon_H91 zenon_H90 zenon_Hfb. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_Hf. zenon_intro zenon_H204. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1fa. zenon_intro zenon_H205. % 1.17/1.35 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1fb. zenon_intro zenon_H1f9. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H8f | zenon_intro zenon_H206 ]. % 1.17/1.36 apply (zenon_L39_); trivial. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1f8 | zenon_intro zenon_Hfc ]. % 1.17/1.36 apply (zenon_L182_); trivial. % 1.17/1.36 exact (zenon_Hfb zenon_Hfc). % 1.17/1.36 (* end of lemma zenon_L183_ *) % 1.17/1.36 assert (zenon_L184_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> False). % 1.17/1.36 do 0 intro. intros zenon_H8b zenon_H207 zenon_H203 zenon_Hfb zenon_H1eb zenon_H15f zenon_H160 zenon_H125 zenon_H1f6 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H90 zenon_H91 zenon_H92 zenon_Hb1 zenon_Hc1. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H202 ]. % 1.17/1.36 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hc5 ]. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1ec ]. % 1.17/1.36 apply (zenon_L131_); trivial. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H18f ]. % 1.17/1.36 apply (zenon_L20_); trivial. % 1.17/1.36 apply (zenon_L181_); trivial. % 1.17/1.36 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H8f | zenon_intro zenon_Hb2 ]. % 1.17/1.36 apply (zenon_L39_); trivial. % 1.17/1.36 exact (zenon_Hb1 zenon_Hb2). % 1.17/1.36 apply (zenon_L183_); trivial. % 1.17/1.36 (* end of lemma zenon_L184_ *) % 1.17/1.36 assert (zenon_L185_ : ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/((hskp3)\/(hskp4))) -> (c2_1 (a651)) -> (~(c3_1 (a651))) -> (~(c1_1 (a651))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp4)) -> False). % 1.17/1.36 do 0 intro. intros zenon_H208 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_Hf zenon_H15a zenon_H17f. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H182 ]. % 1.17/1.36 apply (zenon_L157_); trivial. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H15b | zenon_intro zenon_H180 ]. % 1.17/1.36 exact (zenon_H15a zenon_H15b). % 1.17/1.36 exact (zenon_H17f zenon_H180). % 1.17/1.36 (* end of lemma zenon_L185_ *) % 1.17/1.36 assert (zenon_L186_ : ((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> (~(hskp4)) -> False). % 1.17/1.36 do 0 intro. intros zenon_H1dd zenon_H208 zenon_H15a zenon_H17f. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_Hf. zenon_intro zenon_H1de. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d6. zenon_intro zenon_H1df. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.17/1.36 apply (zenon_L185_); trivial. % 1.17/1.36 (* end of lemma zenon_L186_ *) % 1.17/1.36 assert (zenon_L187_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> (ndr1_0) -> (~(c2_1 (a606))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(hskp9)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> False). % 1.17/1.36 do 0 intro. intros zenon_H1e0 zenon_H208 zenon_H17f zenon_H15a zenon_Hf zenon_H12e zenon_H12f zenon_H130 zenon_H5f zenon_H1d2. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ]. % 1.17/1.36 apply (zenon_L156_); trivial. % 1.17/1.36 apply (zenon_L186_); trivial. % 1.17/1.36 (* end of lemma zenon_L187_ *) % 1.17/1.36 assert (zenon_L188_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> (~(hskp9)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> False). % 1.17/1.36 do 0 intro. intros zenon_H137 zenon_H1e0 zenon_H208 zenon_H17f zenon_H15a zenon_H5f zenon_H1d2. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.17/1.36 apply (zenon_L187_); trivial. % 1.17/1.36 (* end of lemma zenon_L188_ *) % 1.17/1.36 assert (zenon_L189_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp9)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> (~(hskp3)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (c3_1 (a598)) -> (c0_1 (a598)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.17/1.36 do 0 intro. intros zenon_Hc6 zenon_H13b zenon_H1e0 zenon_H208 zenon_H17f zenon_H5f zenon_H1d2 zenon_H18d zenon_H15a zenon_H186 zenon_H185 zenon_H184 zenon_Hc1 zenon_Hb1 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H1f6 zenon_H125 zenon_H160 zenon_H15f zenon_H1eb zenon_H203 zenon_H207 zenon_H8e. % 1.17/1.36 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.17/1.36 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.17/1.36 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.17/1.36 apply (zenon_L120_); trivial. % 1.17/1.36 apply (zenon_L184_); trivial. % 1.17/1.36 apply (zenon_L188_); trivial. % 1.17/1.36 (* end of lemma zenon_L189_ *) % 1.17/1.36 assert (zenon_L190_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/((hskp3)\/(hskp4))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((hskp26)\/(hskp11)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> (ndr1_0) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp3))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> False). % 1.17/1.36 do 0 intro. intros zenon_H209 zenon_H1e1 zenon_H13b zenon_H1e0 zenon_H208 zenon_H1d2 zenon_Hc1 zenon_Hb1 zenon_H1f6 zenon_H125 zenon_H203 zenon_H207 zenon_H1e7 zenon_H1eb zenon_H30 zenon_H8e zenon_H6a zenon_H5 zenon_H54 zenon_H5f zenon_H62 zenon_H66 zenon_Hf zenon_H184 zenon_H185 zenon_H186 zenon_H15a zenon_H18d zenon_Hc0 zenon_H17f zenon_H1e5 zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_H142 zenon_H1c8 zenon_Hd5 zenon_H15c zenon_H198 zenon_H19b. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.17/1.36 apply (zenon_L169_); trivial. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.17/1.36 apply (zenon_L120_); trivial. % 1.17/1.36 apply (zenon_L178_); trivial. % 1.17/1.36 apply (zenon_L189_); trivial. % 1.17/1.36 (* end of lemma zenon_L190_ *) % 1.17/1.36 assert (zenon_L191_ : (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16))))) -> (ndr1_0) -> (~(c0_1 (a595))) -> (forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2)))))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> False). % 1.17/1.36 do 0 intro. intros zenon_Hf5 zenon_Hf zenon_H176 zenon_H1c5 zenon_H177 zenon_H178. % 1.17/1.36 generalize (zenon_Hf5 (a595)). zenon_intro zenon_H20a. % 1.17/1.36 apply (zenon_imply_s _ _ zenon_H20a); [ zenon_intro zenon_He | zenon_intro zenon_H20b ]. % 1.17/1.36 exact (zenon_He zenon_Hf). % 1.17/1.36 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H17c | zenon_intro zenon_H20c ]. % 1.17/1.36 exact (zenon_H176 zenon_H17c). % 1.17/1.36 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H20d | zenon_intro zenon_H17d ]. % 1.17/1.36 generalize (zenon_H1c5 (a595)). zenon_intro zenon_H20e. % 1.17/1.36 apply (zenon_imply_s _ _ zenon_H20e); [ zenon_intro zenon_He | zenon_intro zenon_H20f ]. % 1.17/1.36 exact (zenon_He zenon_Hf). % 1.17/1.36 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H17e | zenon_intro zenon_H210 ]. % 1.17/1.36 exact (zenon_H177 zenon_H17e). % 1.17/1.36 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H17d | zenon_intro zenon_H211 ]. % 1.17/1.36 exact (zenon_H178 zenon_H17d). % 1.17/1.36 exact (zenon_H211 zenon_H20d). % 1.17/1.36 exact (zenon_H178 zenon_H17d). % 1.17/1.36 (* end of lemma zenon_L191_ *) % 1.17/1.36 assert (zenon_L192_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp14)) -> (~(hskp4)) -> (ndr1_0) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp4)\/(hskp14))) -> (~(hskp2)) -> False). % 1.17/1.36 do 0 intro. intros zenon_H1c8 zenon_Hd3 zenon_H17f zenon_Hf zenon_H176 zenon_H177 zenon_H178 zenon_H212 zenon_H142. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1c9 ]. % 1.17/1.36 apply (zenon_L116_); trivial. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H143 ]. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H213 ]. % 1.17/1.36 apply (zenon_L191_); trivial. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H180 | zenon_intro zenon_Hd4 ]. % 1.17/1.36 exact (zenon_H17f zenon_H180). % 1.17/1.36 exact (zenon_Hd3 zenon_Hd4). % 1.17/1.36 exact (zenon_H142 zenon_H143). % 1.17/1.36 (* end of lemma zenon_L192_ *) % 1.17/1.36 assert (zenon_L193_ : (forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2)))))) -> (ndr1_0) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c2_1 (a603)) -> False). % 1.17/1.36 do 0 intro. intros zenon_H1c5 zenon_Hf zenon_He4 zenon_Hd7 zenon_Hd9. % 1.17/1.36 generalize (zenon_H1c5 (a603)). zenon_intro zenon_H214. % 1.17/1.36 apply (zenon_imply_s _ _ zenon_H214); [ zenon_intro zenon_He | zenon_intro zenon_H215 ]. % 1.17/1.36 exact (zenon_He zenon_Hf). % 1.17/1.36 apply (zenon_or_s _ _ zenon_H215); [ zenon_intro zenon_He8 | zenon_intro zenon_H216 ]. % 1.17/1.36 exact (zenon_He4 zenon_He8). % 1.17/1.36 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hde ]. % 1.17/1.36 exact (zenon_Hd7 zenon_Hdd). % 1.17/1.36 exact (zenon_Hde zenon_Hd9). % 1.17/1.36 (* end of lemma zenon_L193_ *) % 1.17/1.36 assert (zenon_L194_ : (forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))) -> (ndr1_0) -> (~(c1_1 (a603))) -> (forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2)))))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> False). % 1.17/1.36 do 0 intro. intros zenon_H9d zenon_Hf zenon_He4 zenon_H1c5 zenon_Hd7 zenon_Hd8. % 1.17/1.36 generalize (zenon_H9d (a603)). zenon_intro zenon_He5. % 1.17/1.36 apply (zenon_imply_s _ _ zenon_He5); [ zenon_intro zenon_He | zenon_intro zenon_He6 ]. % 1.17/1.36 exact (zenon_He zenon_Hf). % 1.17/1.36 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_He8 | zenon_intro zenon_He7 ]. % 1.17/1.36 exact (zenon_He4 zenon_He8). % 1.17/1.36 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_Hd9 | zenon_intro zenon_Hdf ]. % 1.17/1.36 apply (zenon_L193_); trivial. % 1.17/1.36 exact (zenon_Hdf zenon_Hd8). % 1.17/1.36 (* end of lemma zenon_L194_ *) % 1.17/1.36 assert (zenon_L195_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> (~(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp10))) -> (ndr1_0) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp4)\/(hskp14))) -> (~(hskp4)) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> False). % 1.17/1.36 do 0 intro. intros zenon_H198 zenon_H1a zenon_H217 zenon_Hf zenon_H176 zenon_H177 zenon_H178 zenon_H212 zenon_H17f zenon_H142 zenon_H1c8. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.17/1.36 apply (zenon_L192_); trivial. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1c9 ]. % 1.17/1.36 apply (zenon_L116_); trivial. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H143 ]. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H218 ]. % 1.17/1.36 apply (zenon_L191_); trivial. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H9d | zenon_intro zenon_H1b ]. % 1.17/1.36 apply (zenon_L194_); trivial. % 1.17/1.36 exact (zenon_H1a zenon_H1b). % 1.17/1.36 exact (zenon_H142 zenon_H143). % 1.17/1.36 (* end of lemma zenon_L195_ *) % 1.17/1.36 assert (zenon_L196_ : (forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53)))))) -> (ndr1_0) -> (~(c2_1 (a593))) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> False). % 1.17/1.36 do 0 intro. intros zenon_H56 zenon_Hf zenon_H184 zenon_H8f zenon_H185 zenon_H186. % 1.17/1.36 generalize (zenon_H56 (a593)). zenon_intro zenon_H219. % 1.17/1.36 apply (zenon_imply_s _ _ zenon_H219); [ zenon_intro zenon_He | zenon_intro zenon_H21a ]. % 1.17/1.36 exact (zenon_He zenon_Hf). % 1.17/1.36 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H18a | zenon_intro zenon_H21b ]. % 1.17/1.36 exact (zenon_H184 zenon_H18a). % 1.17/1.36 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H21c | zenon_intro zenon_H18b ]. % 1.17/1.36 generalize (zenon_H8f (a593)). zenon_intro zenon_H21d. % 1.17/1.36 apply (zenon_imply_s _ _ zenon_H21d); [ zenon_intro zenon_He | zenon_intro zenon_H21e ]. % 1.17/1.36 exact (zenon_He zenon_Hf). % 1.17/1.36 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H21f | zenon_intro zenon_H189 ]. % 1.17/1.36 exact (zenon_H21c zenon_H21f). % 1.17/1.36 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H18c | zenon_intro zenon_H18b ]. % 1.17/1.36 exact (zenon_H18c zenon_H185). % 1.17/1.36 exact (zenon_H18b zenon_H186). % 1.17/1.36 exact (zenon_H18b zenon_H186). % 1.17/1.36 (* end of lemma zenon_L196_ *) % 1.17/1.36 assert (zenon_L197_ : ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp15)\/(hskp11))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (~(c2_1 (a593))) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp11)) -> False). % 1.17/1.36 do 0 intro. intros zenon_H220 zenon_H186 zenon_H185 zenon_H8f zenon_H184 zenon_Hf zenon_H83 zenon_H3. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H56 | zenon_intro zenon_H221 ]. % 1.17/1.36 apply (zenon_L196_); trivial. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H84 | zenon_intro zenon_H4 ]. % 1.17/1.36 exact (zenon_H83 zenon_H84). % 1.17/1.36 exact (zenon_H3 zenon_H4). % 1.17/1.36 (* end of lemma zenon_L197_ *) % 1.17/1.36 assert (zenon_L198_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (~(hskp1)) -> False). % 1.17/1.36 do 0 intro. intros zenon_Hc6 zenon_Hc1 zenon_H178 zenon_H177 zenon_H176 zenon_Hb1. % 1.17/1.36 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.17/1.36 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.17/1.36 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.17/1.36 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hc5 ]. % 1.17/1.36 apply (zenon_L116_); trivial. % 1.17/1.36 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H8f | zenon_intro zenon_Hb2 ]. % 1.17/1.36 apply (zenon_L39_); trivial. % 1.17/1.36 exact (zenon_Hb1 zenon_Hb2). % 1.17/1.36 (* end of lemma zenon_L198_ *) % 1.17/1.36 assert (zenon_L199_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> (ndr1_0) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp15)\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> False). % 1.17/1.36 do 0 intro. intros zenon_H1e1 zenon_Hf zenon_H176 zenon_H177 zenon_H178 zenon_H220 zenon_H3 zenon_H186 zenon_H185 zenon_H184 zenon_Hb1 zenon_Hc1. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.17/1.36 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hc5 ]. % 1.17/1.36 apply (zenon_L116_); trivial. % 1.17/1.36 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H8f | zenon_intro zenon_Hb2 ]. % 1.17/1.36 apply (zenon_L197_); trivial. % 1.17/1.36 exact (zenon_Hb1 zenon_Hb2). % 1.17/1.36 apply (zenon_L198_); trivial. % 1.17/1.36 (* end of lemma zenon_L199_ *) % 1.17/1.36 assert (zenon_L200_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (~(hskp15)) -> (~(hskp29)) -> (ndr1_0) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(hskp2)) -> False). % 1.17/1.36 do 0 intro. intros zenon_H1c8 zenon_H178 zenon_H177 zenon_H176 zenon_H83 zenon_H6 zenon_Hf zenon_H1a5 zenon_H1ac zenon_H1e7 zenon_H142. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1c9 ]. % 1.17/1.36 apply (zenon_L116_); trivial. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H143 ]. % 1.17/1.36 apply (zenon_L171_); trivial. % 1.17/1.36 exact (zenon_H142 zenon_H143). % 1.17/1.36 (* end of lemma zenon_L200_ *) % 1.17/1.36 assert (zenon_L201_ : ((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (~(hskp14)) -> False). % 1.17/1.36 do 0 intro. intros zenon_H32 zenon_H192 zenon_H186 zenon_H185 zenon_H184 zenon_Hd3. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hf. zenon_intro zenon_H33. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H1f. zenon_intro zenon_H34. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H183 | zenon_intro zenon_H193 ]. % 1.17/1.36 apply (zenon_L119_); trivial. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H18f | zenon_intro zenon_Hd4 ]. % 1.17/1.36 apply (zenon_L173_); trivial. % 1.17/1.36 exact (zenon_Hd3 zenon_Hd4). % 1.17/1.36 (* end of lemma zenon_L201_ *) % 1.17/1.36 assert (zenon_L202_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (ndr1_0) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> False). % 1.17/1.36 do 0 intro. intros zenon_H30 zenon_H192 zenon_Hd3 zenon_H186 zenon_H185 zenon_H184 zenon_Hf zenon_H176 zenon_H177 zenon_H178 zenon_H1e7 zenon_H83 zenon_H1ac zenon_H1a5 zenon_H142 zenon_H1c8. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.17/1.36 apply (zenon_L200_); trivial. % 1.17/1.36 apply (zenon_L201_); trivial. % 1.17/1.36 (* end of lemma zenon_L202_ *) % 1.17/1.36 assert (zenon_L203_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (ndr1_0) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp14)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.17/1.36 do 0 intro. intros zenon_H1e1 zenon_Hc1 zenon_Hb1 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1ac zenon_H1e7 zenon_H178 zenon_H177 zenon_H176 zenon_Hf zenon_H184 zenon_H185 zenon_H186 zenon_Hd3 zenon_H192 zenon_H30. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.17/1.36 apply (zenon_L202_); trivial. % 1.17/1.36 apply (zenon_L198_); trivial. % 1.17/1.36 (* end of lemma zenon_L203_ *) % 1.17/1.36 assert (zenon_L204_ : ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2)))))) -> (~(c1_1 (a603))) -> (ndr1_0) -> (~(hskp22)) -> (~(hskp6)) -> False). % 1.17/1.36 do 0 intro. intros zenon_H222 zenon_Hd8 zenon_Hd7 zenon_H1c5 zenon_He4 zenon_Hf zenon_H146 zenon_H42. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H9d | zenon_intro zenon_H223 ]. % 1.17/1.36 apply (zenon_L194_); trivial. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H147 | zenon_intro zenon_H43 ]. % 1.17/1.36 exact (zenon_H146 zenon_H147). % 1.17/1.36 exact (zenon_H42 zenon_H43). % 1.17/1.36 (* end of lemma zenon_L204_ *) % 1.17/1.36 assert (zenon_L205_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (~(hskp6)) -> (~(hskp22)) -> (ndr1_0) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp2)) -> False). % 1.17/1.36 do 0 intro. intros zenon_H1c8 zenon_H178 zenon_H177 zenon_H176 zenon_H42 zenon_H146 zenon_Hf zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H222 zenon_H142. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1c9 ]. % 1.17/1.36 apply (zenon_L116_); trivial. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H143 ]. % 1.17/1.36 apply (zenon_L204_); trivial. % 1.17/1.36 exact (zenon_H142 zenon_H143). % 1.17/1.36 (* end of lemma zenon_L205_ *) % 1.17/1.36 assert (zenon_L206_ : (forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))) -> (ndr1_0) -> (c0_1 (a593)) -> (c1_1 (a593)) -> (c3_1 (a593)) -> False). % 1.17/1.36 do 0 intro. intros zenon_H79 zenon_Hf zenon_H21f zenon_H185 zenon_H186. % 1.17/1.36 generalize (zenon_H79 (a593)). zenon_intro zenon_H224. % 1.17/1.36 apply (zenon_imply_s _ _ zenon_H224); [ zenon_intro zenon_He | zenon_intro zenon_H225 ]. % 1.17/1.36 exact (zenon_He zenon_Hf). % 1.17/1.36 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H21c | zenon_intro zenon_H189 ]. % 1.17/1.36 exact (zenon_H21c zenon_H21f). % 1.17/1.36 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H18c | zenon_intro zenon_H18b ]. % 1.17/1.36 exact (zenon_H18c zenon_H185). % 1.17/1.36 exact (zenon_H18b zenon_H186). % 1.17/1.36 (* end of lemma zenon_L206_ *) % 1.17/1.36 assert (zenon_L207_ : (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (ndr1_0) -> (forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> False). % 1.17/1.36 do 0 intro. intros zenon_H10a zenon_Hf zenon_H79 zenon_H185 zenon_H186 zenon_H184. % 1.17/1.36 generalize (zenon_H10a (a593)). zenon_intro zenon_H226. % 1.17/1.36 apply (zenon_imply_s _ _ zenon_H226); [ zenon_intro zenon_He | zenon_intro zenon_H227 ]. % 1.17/1.36 exact (zenon_He zenon_Hf). % 1.17/1.36 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H21f | zenon_intro zenon_H228 ]. % 1.17/1.36 apply (zenon_L206_); trivial. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H18a | zenon_intro zenon_H18c ]. % 1.17/1.36 exact (zenon_H184 zenon_H18a). % 1.17/1.36 exact (zenon_H18c zenon_H185). % 1.17/1.36 (* end of lemma zenon_L207_ *) % 1.17/1.36 assert (zenon_L208_ : ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (~(hskp15)) -> False). % 1.17/1.36 do 0 intro. intros zenon_H85 zenon_H160 zenon_H15f zenon_H15e zenon_H184 zenon_H186 zenon_H185 zenon_Hf zenon_H10a zenon_H83. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H20 | zenon_intro zenon_H86 ]. % 1.17/1.36 apply (zenon_L103_); trivial. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H86); [ zenon_intro zenon_H79 | zenon_intro zenon_H84 ]. % 1.17/1.36 apply (zenon_L207_); trivial. % 1.17/1.36 exact (zenon_H83 zenon_H84). % 1.17/1.36 (* end of lemma zenon_L208_ *) % 1.17/1.36 assert (zenon_L209_ : ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c1_1 (a633)) -> (~(c3_1 (a633))) -> (~(c0_1 (a633))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))) -> (ndr1_0) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> False). % 1.17/1.36 do 0 intro. intros zenon_H155 zenon_H14d zenon_H14c zenon_H14b zenon_Hcc zenon_Hcb zenon_Hca zenon_He0 zenon_Hf zenon_Hd7 zenon_Hd8. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14a | zenon_intro zenon_H158 ]. % 1.17/1.36 apply (zenon_L96_); trivial. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H6b ]. % 1.17/1.36 apply (zenon_L51_); trivial. % 1.17/1.36 apply (zenon_L56_); trivial. % 1.17/1.36 (* end of lemma zenon_L209_ *) % 1.17/1.36 assert (zenon_L210_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp2)) -> False). % 1.17/1.36 do 0 intro. intros zenon_Hc6 zenon_H1c8 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H176 zenon_H177 zenon_H178 zenon_H106 zenon_H142. % 1.17/1.36 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.17/1.36 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.17/1.36 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1c9 ]. % 1.17/1.36 apply (zenon_L116_); trivial. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H143 ]. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H108 ]. % 1.17/1.36 apply (zenon_L191_); trivial. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H8f | zenon_intro zenon_H9d ]. % 1.17/1.36 apply (zenon_L39_); trivial. % 1.17/1.36 apply (zenon_L194_); trivial. % 1.17/1.36 exact (zenon_H142 zenon_H143). % 1.17/1.36 (* end of lemma zenon_L210_ *) % 1.17/1.36 assert (zenon_L211_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> False). % 1.17/1.36 do 0 intro. intros zenon_H194 zenon_H1e1 zenon_H106 zenon_H1c8 zenon_H142 zenon_H42 zenon_H222 zenon_H178 zenon_H177 zenon_H176 zenon_H85 zenon_H184 zenon_H186 zenon_H185 zenon_H160 zenon_H15f zenon_H15e zenon_H155 zenon_Hcc zenon_Hcb zenon_Hca zenon_H229 zenon_H159. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H146 | zenon_intro zenon_H154 ]. % 1.17/1.36 apply (zenon_L205_); trivial. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_Hf. zenon_intro zenon_H156. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14d. zenon_intro zenon_H157. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H22a ]. % 1.17/1.36 apply (zenon_L116_); trivial. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H10a | zenon_intro zenon_He0 ]. % 1.17/1.36 apply (zenon_L208_); trivial. % 1.17/1.36 apply (zenon_L209_); trivial. % 1.17/1.36 apply (zenon_L210_); trivial. % 1.17/1.36 (* end of lemma zenon_L211_ *) % 1.17/1.36 assert (zenon_L212_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp15)\/(hskp11))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> False). % 1.17/1.36 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H198 zenon_H106 zenon_H42 zenon_H222 zenon_H85 zenon_H155 zenon_H229 zenon_H159 zenon_H30 zenon_H192 zenon_H1e7 zenon_H1ac zenon_H1a5 zenon_H142 zenon_H1c8 zenon_Hc1 zenon_Hb1 zenon_H184 zenon_H185 zenon_H186 zenon_H220 zenon_H178 zenon_H177 zenon_H176 zenon_H1e1. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.17/1.36 apply (zenon_L199_); trivial. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.17/1.36 apply (zenon_L203_); trivial. % 1.17/1.36 apply (zenon_L211_); trivial. % 1.17/1.36 (* end of lemma zenon_L212_ *) % 1.17/1.36 assert (zenon_L213_ : ((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp15)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp4)\/(hskp14))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> False). % 1.17/1.36 do 0 intro. intros zenon_H19c zenon_H209 zenon_H19b zenon_H106 zenon_H42 zenon_H222 zenon_H85 zenon_H155 zenon_H229 zenon_H159 zenon_H30 zenon_H192 zenon_H1e7 zenon_H1ac zenon_H1a5 zenon_Hc1 zenon_Hb1 zenon_H184 zenon_H185 zenon_H186 zenon_H220 zenon_H1e1 zenon_H1c8 zenon_H142 zenon_H17f zenon_H212 zenon_H217 zenon_H198. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.17/1.36 apply (zenon_L195_); trivial. % 1.17/1.36 apply (zenon_L212_); trivial. % 1.17/1.36 (* end of lemma zenon_L213_ *) % 1.17/1.36 assert (zenon_L214_ : (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10)))))) -> (ndr1_0) -> (~(c0_1 (a590))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (c2_1 (a590)) -> False). % 1.17/1.36 do 0 intro. intros zenon_H167 zenon_Hf zenon_H22b zenon_H119 zenon_H22c. % 1.17/1.36 generalize (zenon_H167 (a590)). zenon_intro zenon_H22d. % 1.17/1.36 apply (zenon_imply_s _ _ zenon_H22d); [ zenon_intro zenon_He | zenon_intro zenon_H22e ]. % 1.17/1.36 exact (zenon_He zenon_Hf). % 1.17/1.36 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H230 | zenon_intro zenon_H22f ]. % 1.17/1.36 exact (zenon_H22b zenon_H230). % 1.17/1.36 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H232 | zenon_intro zenon_H231 ]. % 1.17/1.36 generalize (zenon_H119 (a590)). zenon_intro zenon_H233. % 1.17/1.36 apply (zenon_imply_s _ _ zenon_H233); [ zenon_intro zenon_He | zenon_intro zenon_H234 ]. % 1.17/1.36 exact (zenon_He zenon_Hf). % 1.17/1.36 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H230 | zenon_intro zenon_H235 ]. % 1.17/1.36 exact (zenon_H22b zenon_H230). % 1.17/1.36 apply (zenon_or_s _ _ zenon_H235); [ zenon_intro zenon_H236 | zenon_intro zenon_H231 ]. % 1.17/1.36 exact (zenon_H232 zenon_H236). % 1.17/1.36 exact (zenon_H231 zenon_H22c). % 1.17/1.36 exact (zenon_H231 zenon_H22c). % 1.17/1.36 (* end of lemma zenon_L214_ *) % 1.17/1.36 assert (zenon_L215_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a590)) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c0_1 (a590))) -> (c2_1 (a583)) -> (c1_1 (a583)) -> (c0_1 (a583)) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.17/1.36 do 0 intro. intros zenon_H174 zenon_H22c zenon_H119 zenon_H22b zenon_H13 zenon_H12 zenon_H11 zenon_Hf zenon_H46. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H167 | zenon_intro zenon_H175 ]. % 1.17/1.36 apply (zenon_L214_); trivial. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H10 | zenon_intro zenon_H47 ]. % 1.17/1.36 apply (zenon_L9_); trivial. % 1.17/1.36 exact (zenon_H46 zenon_H47). % 1.17/1.36 (* end of lemma zenon_L215_ *) % 1.17/1.36 assert (zenon_L216_ : ((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp12)) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp2)) -> (~(hskp7)) -> False). % 1.17/1.36 do 0 intro. intros zenon_H61 zenon_H144 zenon_H46 zenon_H22b zenon_H22c zenon_H174 zenon_H142 zenon_H8. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_Hf. zenon_intro zenon_H63. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H11. zenon_intro zenon_H64. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H119 | zenon_intro zenon_H145 ]. % 1.17/1.36 apply (zenon_L215_); trivial. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H143 | zenon_intro zenon_H9 ]. % 1.17/1.36 exact (zenon_H142 zenon_H143). % 1.17/1.36 exact (zenon_H8 zenon_H9). % 1.17/1.36 (* end of lemma zenon_L216_ *) % 1.17/1.36 assert (zenon_L217_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp11)) -> ((hskp26)\/(hskp11)) -> False). % 1.17/1.36 do 0 intro. intros zenon_H66 zenon_H144 zenon_H8 zenon_H142 zenon_H22b zenon_H22c zenon_H46 zenon_H174 zenon_H3 zenon_H5. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.17/1.36 apply (zenon_L3_); trivial. % 1.17/1.36 apply (zenon_L216_); trivial. % 1.17/1.36 (* end of lemma zenon_L217_ *) % 1.17/1.36 assert (zenon_L218_ : ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (c2_1 (a583)) -> (c1_1 (a583)) -> (c0_1 (a583)) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.17/1.36 do 0 intro. intros zenon_H1c zenon_H13 zenon_H12 zenon_H11 zenon_H237 zenon_H22c zenon_Hc9 zenon_Hf zenon_H1a. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H1c); [ zenon_intro zenon_H10 | zenon_intro zenon_H21 ]. % 1.17/1.36 apply (zenon_L9_); trivial. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H22 | zenon_intro zenon_H1b ]. % 1.17/1.36 generalize (zenon_H22 (a590)). zenon_intro zenon_H238. % 1.17/1.36 apply (zenon_imply_s _ _ zenon_H238); [ zenon_intro zenon_He | zenon_intro zenon_H239 ]. % 1.17/1.36 exact (zenon_He zenon_Hf). % 1.17/1.36 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H232 | zenon_intro zenon_H23a ]. % 1.17/1.36 generalize (zenon_Hc9 (a590)). zenon_intro zenon_H23b. % 1.17/1.36 apply (zenon_imply_s _ _ zenon_H23b); [ zenon_intro zenon_He | zenon_intro zenon_H23c ]. % 1.17/1.36 exact (zenon_He zenon_Hf). % 1.17/1.36 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H236 | zenon_intro zenon_H23a ]. % 1.17/1.36 exact (zenon_H232 zenon_H236). % 1.17/1.36 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H231 | zenon_intro zenon_H23d ]. % 1.17/1.36 exact (zenon_H231 zenon_H22c). % 1.17/1.36 exact (zenon_H23d zenon_H237). % 1.17/1.36 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H231 | zenon_intro zenon_H23d ]. % 1.17/1.36 exact (zenon_H231 zenon_H22c). % 1.17/1.36 exact (zenon_H23d zenon_H237). % 1.17/1.36 exact (zenon_H1a zenon_H1b). % 1.17/1.36 (* end of lemma zenon_L218_ *) % 1.17/1.36 assert (zenon_L219_ : ((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c1_1 (a633)) -> (~(c3_1 (a633))) -> (~(c0_1 (a633))) -> (~(hskp10)) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> False). % 1.17/1.36 do 0 intro. intros zenon_H61 zenon_H155 zenon_H14d zenon_H14c zenon_H14b zenon_H1a zenon_H22c zenon_H237 zenon_H1c zenon_H6c zenon_H6d zenon_H6e. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_Hf. zenon_intro zenon_H63. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H11. zenon_intro zenon_H64. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14a | zenon_intro zenon_H158 ]. % 1.17/1.36 apply (zenon_L96_); trivial. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H6b ]. % 1.17/1.36 apply (zenon_L218_); trivial. % 1.17/1.36 apply (zenon_L28_); trivial. % 1.17/1.36 (* end of lemma zenon_L219_ *) % 1.17/1.36 assert (zenon_L220_ : ((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp11)) -> ((hskp26)\/(hskp11)) -> False). % 1.17/1.36 do 0 intro. intros zenon_H154 zenon_H66 zenon_H155 zenon_H6e zenon_H6d zenon_H6c zenon_H22c zenon_H237 zenon_H1a zenon_H1c zenon_H3 zenon_H5. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_Hf. zenon_intro zenon_H156. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14d. zenon_intro zenon_H157. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.17/1.36 apply (zenon_L3_); trivial. % 1.17/1.36 apply (zenon_L219_); trivial. % 1.17/1.36 (* end of lemma zenon_L220_ *) % 1.17/1.36 assert (zenon_L221_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((hskp29)\/((hskp22)\/(hskp17))) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> (~(hskp8)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(hskp11)) -> ((hskp26)\/(hskp11)) -> (c3_1 (a590)) -> (c2_1 (a590)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> False). % 1.17/1.36 do 0 intro. intros zenon_H8e zenon_H6a zenon_H54 zenon_H5f zenon_H62 zenon_H66 zenon_H8a zenon_H30 zenon_H85 zenon_H83 zenon_H1a zenon_H1c zenon_H148 zenon_H6c zenon_H6d zenon_H6e zenon_H40 zenon_H77 zenon_H3 zenon_H5 zenon_H237 zenon_H22c zenon_H155 zenon_H159. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H146 | zenon_intro zenon_H154 ]. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.17/1.36 apply (zenon_L3_); trivial. % 1.17/1.36 apply (zenon_L95_); trivial. % 1.17/1.36 apply (zenon_L220_); trivial. % 1.17/1.36 apply (zenon_L121_); trivial. % 1.17/1.36 (* end of lemma zenon_L221_ *) % 1.17/1.36 assert (zenon_L222_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp8)) -> ((hskp26)\/((hskp12)\/(hskp8))) -> False). % 1.17/1.36 do 0 intro. intros zenon_H66 zenon_H144 zenon_H8 zenon_H142 zenon_H22b zenon_H22c zenon_H174 zenon_H46 zenon_H40 zenon_H48. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.17/1.36 apply (zenon_L19_); trivial. % 1.17/1.36 apply (zenon_L216_); trivial. % 1.17/1.36 (* end of lemma zenon_L222_ *) % 1.17/1.36 assert (zenon_L223_ : (~(hskp19)) -> (hskp19) -> False). % 1.17/1.36 do 0 intro. intros zenon_H23e zenon_H23f. % 1.17/1.36 exact (zenon_H23e zenon_H23f). % 1.17/1.36 (* end of lemma zenon_L223_ *) % 1.17/1.36 assert (zenon_L224_ : (~(hskp13)) -> (hskp13) -> False). % 1.17/1.36 do 0 intro. intros zenon_H240 zenon_H241. % 1.17/1.36 exact (zenon_H240 zenon_H241). % 1.17/1.36 (* end of lemma zenon_L224_ *) % 1.17/1.36 assert (zenon_L225_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (c2_1 (a590)) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c0_1 (a590))) -> (ndr1_0) -> (~(hskp19)) -> (~(hskp13)) -> False). % 1.17/1.36 do 0 intro. intros zenon_H242 zenon_H22c zenon_H119 zenon_H22b zenon_Hf zenon_H23e zenon_H240. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H167 | zenon_intro zenon_H243 ]. % 1.17/1.36 apply (zenon_L214_); trivial. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H23f | zenon_intro zenon_H241 ]. % 1.17/1.36 exact (zenon_H23e zenon_H23f). % 1.17/1.36 exact (zenon_H240 zenon_H241). % 1.17/1.36 (* end of lemma zenon_L225_ *) % 1.17/1.36 assert (zenon_L226_ : (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5)))))) -> (ndr1_0) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> False). % 1.17/1.36 do 0 intro. intros zenon_Hec zenon_Hf zenon_H22b zenon_H22c zenon_H237. % 1.17/1.36 generalize (zenon_Hec (a590)). zenon_intro zenon_H244. % 1.17/1.36 apply (zenon_imply_s _ _ zenon_H244); [ zenon_intro zenon_He | zenon_intro zenon_H245 ]. % 1.17/1.36 exact (zenon_He zenon_Hf). % 1.17/1.36 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H230 | zenon_intro zenon_H23a ]. % 1.17/1.36 exact (zenon_H22b zenon_H230). % 1.17/1.36 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H231 | zenon_intro zenon_H23d ]. % 1.17/1.36 exact (zenon_H231 zenon_H22c). % 1.17/1.36 exact (zenon_H23d zenon_H237). % 1.17/1.36 (* end of lemma zenon_L226_ *) % 1.17/1.36 assert (zenon_L227_ : (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (ndr1_0) -> (~(c0_1 (a617))) -> (~(c1_1 (a617))) -> (c2_1 (a617)) -> False). % 1.17/1.36 do 0 intro. intros zenon_H119 zenon_Hf zenon_H246 zenon_H247 zenon_H248. % 1.17/1.36 generalize (zenon_H119 (a617)). zenon_intro zenon_H249. % 1.17/1.36 apply (zenon_imply_s _ _ zenon_H249); [ zenon_intro zenon_He | zenon_intro zenon_H24a ]. % 1.17/1.36 exact (zenon_He zenon_Hf). % 1.17/1.36 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H24c | zenon_intro zenon_H24b ]. % 1.17/1.36 exact (zenon_H246 zenon_H24c). % 1.17/1.36 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H24e | zenon_intro zenon_H24d ]. % 1.17/1.36 exact (zenon_H247 zenon_H24e). % 1.17/1.36 exact (zenon_H24d zenon_H248). % 1.17/1.36 (* end of lemma zenon_L227_ *) % 1.17/1.36 assert (zenon_L228_ : ((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c2_1 (a617)) -> (~(c1_1 (a617))) -> (~(c0_1 (a617))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> False). % 1.17/1.36 do 0 intro. intros zenon_H87 zenon_H24f zenon_H248 zenon_H247 zenon_H246 zenon_H237 zenon_H22c zenon_H22b. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.17/1.36 apply (zenon_L227_); trivial. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.17/1.36 apply (zenon_L226_); trivial. % 1.17/1.36 apply (zenon_L31_); trivial. % 1.17/1.36 (* end of lemma zenon_L228_ *) % 1.17/1.36 assert (zenon_L229_ : ((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> (~(hskp8)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> False). % 1.17/1.36 do 0 intro. intros zenon_H251 zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H6c zenon_H6d zenon_H6e zenon_H40 zenon_H77. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_Hf. zenon_intro zenon_H252. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H248. zenon_intro zenon_H253. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H246. zenon_intro zenon_H247. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.17/1.36 apply (zenon_L30_); trivial. % 1.17/1.36 apply (zenon_L228_); trivial. % 1.17/1.36 (* end of lemma zenon_L229_ *) % 1.17/1.36 assert (zenon_L230_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (ndr1_0) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (c3_1 (a590)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> False). % 1.17/1.36 do 0 intro. intros zenon_H254 zenon_H77 zenon_H40 zenon_H6e zenon_H6d zenon_H6c zenon_Hf zenon_H242 zenon_H240 zenon_H22c zenon_H22b zenon_H237 zenon_H24f zenon_H8a. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H23e | zenon_intro zenon_H251 ]. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.17/1.36 apply (zenon_L30_); trivial. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.17/1.36 apply (zenon_L225_); trivial. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.17/1.36 apply (zenon_L226_); trivial. % 1.17/1.36 apply (zenon_L31_); trivial. % 1.17/1.36 apply (zenon_L229_); trivial. % 1.17/1.36 (* end of lemma zenon_L230_ *) % 1.17/1.36 assert (zenon_L231_ : ((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> (~(hskp8)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> False). % 1.17/1.36 do 0 intro. intros zenon_H67 zenon_H8a zenon_H24f zenon_H237 zenon_H22b zenon_H22c zenon_H255 zenon_H6c zenon_H6d zenon_H6e zenon_H40 zenon_H77. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Hf. zenon_intro zenon_H68. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H39. zenon_intro zenon_H69. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H37. zenon_intro zenon_H38. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.17/1.36 apply (zenon_L30_); trivial. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H36 | zenon_intro zenon_H256 ]. % 1.17/1.36 apply (zenon_L14_); trivial. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H167 | zenon_intro zenon_H41 ]. % 1.17/1.36 apply (zenon_L214_); trivial. % 1.17/1.36 exact (zenon_H40 zenon_H41). % 1.17/1.36 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.17/1.36 apply (zenon_L226_); trivial. % 1.17/1.36 apply (zenon_L31_); trivial. % 1.17/1.36 (* end of lemma zenon_L231_ *) % 1.17/1.36 assert (zenon_L232_ : ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> (~(hskp8)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(hskp14)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> False). % 1.17/1.36 do 0 intro. intros zenon_H6a zenon_H8a zenon_H24f zenon_H237 zenon_H22b zenon_H22c zenon_H255 zenon_H6c zenon_H6d zenon_H6e zenon_H40 zenon_H77 zenon_Hf zenon_Hca zenon_Hcb zenon_Hcc zenon_Hd3 zenon_Hd5. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.17/1.36 apply (zenon_L53_); trivial. % 1.17/1.36 apply (zenon_L231_); trivial. % 1.17/1.36 (* end of lemma zenon_L232_ *) % 1.17/1.36 assert (zenon_L233_ : (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16))))) -> (ndr1_0) -> (~(c0_1 (a601))) -> (~(c2_1 (a601))) -> (forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47)))))) -> (~(c1_1 (a601))) -> False). % 1.17/1.36 do 0 intro. intros zenon_Hf5 zenon_Hf zenon_H257 zenon_H258 zenon_H4a zenon_H259. % 1.17/1.36 generalize (zenon_Hf5 (a601)). zenon_intro zenon_H25a. % 1.17/1.36 apply (zenon_imply_s _ _ zenon_H25a); [ zenon_intro zenon_He | zenon_intro zenon_H25b ]. % 1.17/1.36 exact (zenon_He zenon_Hf). % 1.17/1.36 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H25d | zenon_intro zenon_H25c ]. % 1.17/1.36 exact (zenon_H257 zenon_H25d). % 1.17/1.36 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H25f | zenon_intro zenon_H25e ]. % 1.17/1.36 exact (zenon_H258 zenon_H25f). % 1.17/1.36 generalize (zenon_H4a (a601)). zenon_intro zenon_H260. % 1.17/1.36 apply (zenon_imply_s _ _ zenon_H260); [ zenon_intro zenon_He | zenon_intro zenon_H261 ]. % 1.17/1.36 exact (zenon_He zenon_Hf). % 1.17/1.36 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H263 | zenon_intro zenon_H262 ]. % 1.17/1.36 exact (zenon_H259 zenon_H263). % 1.17/1.36 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H25f | zenon_intro zenon_H264 ]. % 1.17/1.36 exact (zenon_H258 zenon_H25f). % 1.17/1.36 exact (zenon_H264 zenon_H25e). % 1.17/1.36 (* end of lemma zenon_L233_ *) % 1.17/1.36 assert (zenon_L234_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c1_1 (a601))) -> (~(c2_1 (a601))) -> (~(c0_1 (a601))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16))))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> False). % 1.17/1.36 do 0 intro. intros zenon_H1eb zenon_H22c zenon_H22b zenon_H259 zenon_H258 zenon_H257 zenon_Hf5 zenon_Hf zenon_H119 zenon_Hca zenon_Hcb zenon_Hcc. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1ec ]. % 1.17/1.36 apply (zenon_L214_); trivial. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H18f ]. % 1.17/1.36 apply (zenon_L233_); trivial. % 1.17/1.36 apply (zenon_L123_); trivial. % 1.17/1.36 (* end of lemma zenon_L234_ *) % 1.17/1.36 assert (zenon_L235_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (~(c0_1 (a601))) -> (~(c2_1 (a601))) -> (~(c1_1 (a601))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a590)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp7)\/(hskp20))) -> (~(hskp7)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp8))) -> False). % 1.17/1.36 do 0 intro. intros zenon_Hc6 zenon_Hbf zenon_H8a zenon_Hc1 zenon_Hb1 zenon_H106 zenon_H22b zenon_H22c zenon_H257 zenon_H258 zenon_H259 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1eb zenon_H237 zenon_H24f zenon_H77 zenon_H13c zenon_H8 zenon_Hd8 zenon_Hd7 zenon_H6c zenon_H6d zenon_H6e zenon_H40 zenon_He9. % 1.17/1.36 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.17/1.36 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.17/1.36 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.17/1.36 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H99 | zenon_intro zenon_Hc2 ]. % 1.17/1.36 apply (zenon_L87_); trivial. % 1.17/1.36 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hf. zenon_intro zenon_Hc3. % 1.17/1.36 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H9e. zenon_intro zenon_Hc4. % 1.17/1.36 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H9f. zenon_intro zenon_Ha8. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.17/1.36 apply (zenon_L30_); trivial. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.17/1.36 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hc5 ]. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H108 ]. % 1.17/1.36 apply (zenon_L234_); trivial. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H8f | zenon_intro zenon_H9d ]. % 1.17/1.36 apply (zenon_L39_); trivial. % 1.17/1.36 apply (zenon_L43_); trivial. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.17/1.36 apply (zenon_L226_); trivial. % 1.17/1.36 apply (zenon_L31_); trivial. % 1.17/1.36 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H8f | zenon_intro zenon_Hb2 ]. % 1.17/1.36 apply (zenon_L39_); trivial. % 1.17/1.36 exact (zenon_Hb1 zenon_Hb2). % 1.17/1.36 (* end of lemma zenon_L235_ *) % 1.17/1.36 assert (zenon_L236_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> (c3_1 (a636)) -> (~(c1_1 (a636))) -> (~(c0_1 (a636))) -> (~(c3_1 (a623))) -> (~(c2_1 (a623))) -> (~(c1_1 (a623))) -> (ndr1_0) -> (~(hskp26)) -> False). % 1.17/1.36 do 0 intro. intros zenon_H265 zenon_H39 zenon_H38 zenon_H37 zenon_Ha8 zenon_H9f zenon_H9e zenon_Hf zenon_H1. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H36 | zenon_intro zenon_H266 ]. % 1.17/1.36 apply (zenon_L14_); trivial. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H13d | zenon_intro zenon_H2 ]. % 1.17/1.36 apply (zenon_L88_); trivial. % 1.17/1.36 exact (zenon_H1 zenon_H2). % 1.17/1.36 (* end of lemma zenon_L236_ *) % 1.17/1.36 assert (zenon_L237_ : ((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a623))) -> (~(c2_1 (a623))) -> (~(c3_1 (a623))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> False). % 1.17/1.36 do 0 intro. intros zenon_H67 zenon_H66 zenon_H62 zenon_H5f zenon_H9e zenon_H9f zenon_Ha8 zenon_H265. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Hf. zenon_intro zenon_H68. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H39. zenon_intro zenon_H69. % 1.17/1.36 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H37. zenon_intro zenon_H38. % 1.17/1.36 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.21/1.36 apply (zenon_L236_); trivial. % 1.21/1.36 apply (zenon_L25_); trivial. % 1.21/1.36 (* end of lemma zenon_L237_ *) % 1.21/1.36 assert (zenon_L238_ : ((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(hskp14)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> False). % 1.21/1.36 do 0 intro. intros zenon_Hc2 zenon_H6a zenon_H66 zenon_H62 zenon_H5f zenon_H265 zenon_Hca zenon_Hcb zenon_Hcc zenon_Hd3 zenon_Hd5. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hf. zenon_intro zenon_Hc3. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H9e. zenon_intro zenon_Hc4. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H9f. zenon_intro zenon_Ha8. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.21/1.36 apply (zenon_L53_); trivial. % 1.21/1.36 apply (zenon_L237_); trivial. % 1.21/1.36 (* end of lemma zenon_L238_ *) % 1.21/1.36 assert (zenon_L239_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(hskp14)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> (~(hskp7)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> False). % 1.21/1.36 do 0 intro. intros zenon_Hc6 zenon_Hbf zenon_H6a zenon_H66 zenon_H62 zenon_H5f zenon_H265 zenon_Hca zenon_Hcb zenon_Hcc zenon_Hd3 zenon_Hd5 zenon_H8 zenon_H9b. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.21/1.36 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H99 | zenon_intro zenon_Hc2 ]. % 1.21/1.36 apply (zenon_L41_); trivial. % 1.21/1.36 apply (zenon_L238_); trivial. % 1.21/1.36 (* end of lemma zenon_L239_ *) % 1.21/1.36 assert (zenon_L240_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(hskp14)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> (~(hskp7)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (ndr1_0) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> False). % 1.21/1.36 do 0 intro. intros zenon_H1e1 zenon_Hbf zenon_H6a zenon_H66 zenon_H62 zenon_H5f zenon_H265 zenon_Hca zenon_Hcb zenon_Hcc zenon_Hd3 zenon_Hd5 zenon_H8 zenon_H9b zenon_H77 zenon_H40 zenon_H6e zenon_H6d zenon_H6c zenon_Hf zenon_H15e zenon_H15f zenon_H160 zenon_H85 zenon_H8a. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.21/1.36 apply (zenon_L115_); trivial. % 1.21/1.36 apply (zenon_L239_); trivial. % 1.21/1.36 (* end of lemma zenon_L240_ *) % 1.21/1.36 assert (zenon_L241_ : ((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> False). % 1.21/1.36 do 0 intro. intros zenon_H1bc zenon_H1e1 zenon_Hc1 zenon_Hb1 zenon_H178 zenon_H177 zenon_H176 zenon_H77 zenon_H40 zenon_H15e zenon_H15f zenon_H160 zenon_H85 zenon_H8a. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.21/1.36 apply (zenon_L115_); trivial. % 1.21/1.36 apply (zenon_L198_); trivial. % 1.21/1.36 (* end of lemma zenon_L241_ *) % 1.21/1.36 assert (zenon_L242_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2)))))) -> (~(c0_1 (a595))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> False). % 1.21/1.36 do 0 intro. intros zenon_H104 zenon_H178 zenon_H177 zenon_H1c5 zenon_H176 zenon_H237 zenon_H22c zenon_H22b zenon_Hf zenon_Hca zenon_Hcb zenon_Hcc. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H105 ]. % 1.21/1.36 apply (zenon_L191_); trivial. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hec | zenon_intro zenon_Hc9 ]. % 1.21/1.36 apply (zenon_L226_); trivial. % 1.21/1.36 apply (zenon_L51_); trivial. % 1.21/1.36 (* end of lemma zenon_L242_ *) % 1.21/1.36 assert (zenon_L243_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp2)) -> False). % 1.21/1.36 do 0 intro. intros zenon_H197 zenon_H1c8 zenon_H22b zenon_H22c zenon_H237 zenon_H176 zenon_H177 zenon_H178 zenon_H104 zenon_H142. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1c9 ]. % 1.21/1.36 apply (zenon_L116_); trivial. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H143 ]. % 1.21/1.36 apply (zenon_L242_); trivial. % 1.21/1.36 exact (zenon_H142 zenon_H143). % 1.21/1.36 (* end of lemma zenon_L243_ *) % 1.21/1.36 assert (zenon_L244_ : ((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> (c3_1 (a590)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((hskp26)\/(hskp11)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp8)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp4)\/(hskp14))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> False). % 1.21/1.36 do 0 intro. intros zenon_H19c zenon_H209 zenon_H19b zenon_H237 zenon_H104 zenon_H66 zenon_H144 zenon_H8 zenon_H22b zenon_H22c zenon_H174 zenon_H5 zenon_H8a zenon_H85 zenon_H40 zenon_H77 zenon_Hb1 zenon_Hc1 zenon_H1e1 zenon_H1bf zenon_H1c8 zenon_H142 zenon_H17f zenon_H212 zenon_H217 zenon_H198. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.21/1.36 apply (zenon_L195_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.21/1.36 apply (zenon_L217_); trivial. % 1.21/1.36 apply (zenon_L241_); trivial. % 1.21/1.36 apply (zenon_L243_); trivial. % 1.21/1.36 (* end of lemma zenon_L244_ *) % 1.21/1.36 assert (zenon_L245_ : ((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> False). % 1.21/1.36 do 0 intro. intros zenon_H87 zenon_H24f zenon_H6e zenon_H6d zenon_H6c zenon_Hca zenon_Hcb zenon_Hcc zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H155 zenon_H237 zenon_H22c zenon_H22b. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.21/1.36 apply (zenon_L150_); trivial. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.21/1.36 apply (zenon_L226_); trivial. % 1.21/1.36 apply (zenon_L31_); trivial. % 1.21/1.36 (* end of lemma zenon_L245_ *) % 1.21/1.36 assert (zenon_L246_ : (forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47)))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> False). % 1.21/1.36 do 0 intro. intros zenon_H4a zenon_Hf zenon_H10a zenon_H10b zenon_H10c zenon_H114. % 1.21/1.36 generalize (zenon_H4a (a610)). zenon_intro zenon_H267. % 1.21/1.36 apply (zenon_imply_s _ _ zenon_H267); [ zenon_intro zenon_He | zenon_intro zenon_H268 ]. % 1.21/1.36 exact (zenon_He zenon_Hf). % 1.21/1.36 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H10d | zenon_intro zenon_H1b9 ]. % 1.21/1.36 apply (zenon_L74_); trivial. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H113 | zenon_intro zenon_H118 ]. % 1.21/1.36 exact (zenon_H10c zenon_H113). % 1.21/1.36 exact (zenon_H118 zenon_H114). % 1.21/1.36 (* end of lemma zenon_L246_ *) % 1.21/1.36 assert (zenon_L247_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c3_1 (a599)) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> (~(c0_1 (a592))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a599)) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c1_1 (a599))) -> (ndr1_0) -> (~(hskp17)) -> False). % 1.21/1.36 do 0 intro. intros zenon_H123 zenon_Hcc zenon_H10b zenon_H10c zenon_H114 zenon_H1a3 zenon_Ha7 zenon_H1a5 zenon_H1ac zenon_H1eb zenon_Hcb zenon_H119 zenon_Hca zenon_Hf zenon_Ha. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10a | zenon_intro zenon_H124 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1ec ]. % 1.21/1.36 apply (zenon_L131_); trivial. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H18f ]. % 1.21/1.36 apply (zenon_L246_); trivial. % 1.21/1.36 apply (zenon_L123_); trivial. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H11f | zenon_intro zenon_Hb ]. % 1.21/1.36 apply (zenon_L78_); trivial. % 1.21/1.36 exact (zenon_Ha zenon_Hb). % 1.21/1.36 (* end of lemma zenon_L247_ *) % 1.21/1.36 assert (zenon_L248_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp17)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (~(c0_1 (a592))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (c3_1 (a599)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (ndr1_0) -> (c0_1 (a611)) -> (c1_1 (a611)) -> (c3_1 (a611)) -> False). % 1.21/1.36 do 0 intro. intros zenon_H24f zenon_Ha zenon_Hca zenon_Hcb zenon_H1eb zenon_H1ac zenon_H1a5 zenon_Ha7 zenon_H1a3 zenon_H114 zenon_H10c zenon_H10b zenon_Hcc zenon_H123 zenon_H237 zenon_H22c zenon_H22b zenon_Hf zenon_H7a zenon_H7b zenon_H7c. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.21/1.36 apply (zenon_L247_); trivial. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.21/1.36 apply (zenon_L226_); trivial. % 1.21/1.36 apply (zenon_L31_); trivial. % 1.21/1.36 (* end of lemma zenon_L248_ *) % 1.21/1.36 assert (zenon_L249_ : ((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c3_1 (a599)) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp17)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (~(hskp1)) -> False). % 1.21/1.36 do 0 intro. intros zenon_H87 zenon_Hc1 zenon_H22b zenon_H22c zenon_H237 zenon_H123 zenon_Hcc zenon_H10b zenon_H10c zenon_H114 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H1eb zenon_Hcb zenon_Hca zenon_Ha zenon_H24f zenon_H92 zenon_H91 zenon_H90 zenon_Hb1. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.21/1.36 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hc5 ]. % 1.21/1.36 apply (zenon_L248_); trivial. % 1.21/1.36 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H8f | zenon_intro zenon_Hb2 ]. % 1.21/1.36 apply (zenon_L39_); trivial. % 1.21/1.36 exact (zenon_Hb1 zenon_Hb2). % 1.21/1.36 (* end of lemma zenon_L249_ *) % 1.21/1.36 assert (zenon_L250_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (ndr1_0) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> False). % 1.21/1.36 do 0 intro. intros zenon_H12c zenon_H8a zenon_Hc1 zenon_Hb1 zenon_H92 zenon_H91 zenon_H90 zenon_H123 zenon_Ha zenon_Hca zenon_Hcb zenon_Hcc zenon_H1eb zenon_H22b zenon_H22c zenon_H237 zenon_H24f zenon_H6c zenon_H6d zenon_H6e zenon_H77 zenon_Hf zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H40 zenon_H1b5. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.36 apply (zenon_L135_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.21/1.36 apply (zenon_L30_); trivial. % 1.21/1.36 apply (zenon_L249_); trivial. % 1.21/1.36 (* end of lemma zenon_L250_ *) % 1.21/1.36 assert (zenon_L251_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> (c0_1 (a598)) -> (c3_1 (a598)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (ndr1_0) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.21/1.36 do 0 intro. intros zenon_H8e zenon_H207 zenon_H203 zenon_Hfb zenon_H15f zenon_H160 zenon_H125 zenon_H1f6 zenon_H1b5 zenon_H40 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_Hf zenon_H77 zenon_H6e zenon_H6d zenon_H6c zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H1eb zenon_Hcc zenon_Hcb zenon_Hca zenon_H123 zenon_H90 zenon_H91 zenon_H92 zenon_Hb1 zenon_Hc1 zenon_H8a zenon_H12c. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.36 apply (zenon_L250_); trivial. % 1.21/1.36 apply (zenon_L184_); trivial. % 1.21/1.36 (* end of lemma zenon_L251_ *) % 1.21/1.36 assert (zenon_L252_ : (forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37)))))) -> (ndr1_0) -> (~(c2_1 (a606))) -> (c0_1 (a606)) -> (c1_1 (a606)) -> False). % 1.21/1.36 do 0 intro. intros zenon_H269 zenon_Hf zenon_H12e zenon_H26a zenon_H130. % 1.21/1.36 generalize (zenon_H269 (a606)). zenon_intro zenon_H26b. % 1.21/1.36 apply (zenon_imply_s _ _ zenon_H26b); [ zenon_intro zenon_He | zenon_intro zenon_H26c ]. % 1.21/1.36 exact (zenon_He zenon_Hf). % 1.21/1.36 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H134 | zenon_intro zenon_H26d ]. % 1.21/1.36 exact (zenon_H12e zenon_H134). % 1.21/1.36 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H26e | zenon_intro zenon_H135 ]. % 1.21/1.36 exact (zenon_H26e zenon_H26a). % 1.21/1.36 exact (zenon_H135 zenon_H130). % 1.21/1.36 (* end of lemma zenon_L252_ *) % 1.21/1.36 assert (zenon_L253_ : (forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40)))))) -> (ndr1_0) -> (forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37)))))) -> (~(c2_1 (a606))) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> False). % 1.21/1.36 do 0 intro. intros zenon_H14a zenon_Hf zenon_H269 zenon_H12e zenon_H130 zenon_H12f. % 1.21/1.36 generalize (zenon_H14a (a606)). zenon_intro zenon_H26f. % 1.21/1.36 apply (zenon_imply_s _ _ zenon_H26f); [ zenon_intro zenon_He | zenon_intro zenon_H270 ]. % 1.21/1.36 exact (zenon_He zenon_Hf). % 1.21/1.36 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H26a | zenon_intro zenon_H133 ]. % 1.21/1.36 apply (zenon_L252_); trivial. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_H136 | zenon_intro zenon_H135 ]. % 1.21/1.36 exact (zenon_H12f zenon_H136). % 1.21/1.36 exact (zenon_H135 zenon_H130). % 1.21/1.36 (* end of lemma zenon_L253_ *) % 1.21/1.36 assert (zenon_L254_ : (forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))) -> (ndr1_0) -> (c0_1 (a598)) -> (forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> False). % 1.21/1.36 do 0 intro. intros zenon_H18f zenon_Hf zenon_H15f zenon_H9d zenon_H15e zenon_H160. % 1.21/1.36 generalize (zenon_H18f (a598)). zenon_intro zenon_H1f0. % 1.21/1.36 apply (zenon_imply_s _ _ zenon_H1f0); [ zenon_intro zenon_He | zenon_intro zenon_H1f1 ]. % 1.21/1.36 exact (zenon_He zenon_Hf). % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H166 | zenon_intro zenon_H1f2 ]. % 1.21/1.36 exact (zenon_H166 zenon_H15f). % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H1f3 | zenon_intro zenon_H165 ]. % 1.21/1.36 generalize (zenon_H9d (a598)). zenon_intro zenon_H271. % 1.21/1.36 apply (zenon_imply_s _ _ zenon_H271); [ zenon_intro zenon_He | zenon_intro zenon_H272 ]. % 1.21/1.36 exact (zenon_He zenon_Hf). % 1.21/1.36 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H164 | zenon_intro zenon_H273 ]. % 1.21/1.36 exact (zenon_H15e zenon_H164). % 1.21/1.36 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H1ef | zenon_intro zenon_H166 ]. % 1.21/1.36 exact (zenon_H1f3 zenon_H1ef). % 1.21/1.36 exact (zenon_H166 zenon_H15f). % 1.21/1.36 exact (zenon_H165 zenon_H160). % 1.21/1.36 (* end of lemma zenon_L254_ *) % 1.21/1.36 assert (zenon_L255_ : ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40)))))) -> (ndr1_0) -> (c0_1 (a598)) -> (forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> False). % 1.21/1.36 do 0 intro. intros zenon_H274 zenon_H4d zenon_H4c zenon_H4b zenon_H12f zenon_H130 zenon_H12e zenon_H14a zenon_Hf zenon_H15f zenon_H9d zenon_H15e zenon_H160. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H4a | zenon_intro zenon_H275 ]. % 1.21/1.36 apply (zenon_L20_); trivial. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H269 | zenon_intro zenon_H18f ]. % 1.21/1.36 apply (zenon_L253_); trivial. % 1.21/1.36 apply (zenon_L254_); trivial. % 1.21/1.36 (* end of lemma zenon_L255_ *) % 1.21/1.36 assert (zenon_L256_ : ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40)))))) -> (~(c2_1 (a606))) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (ndr1_0) -> (~(hskp1)) -> False). % 1.21/1.36 do 0 intro. intros zenon_Hf9 zenon_H160 zenon_H15e zenon_H15f zenon_H14a zenon_H12e zenon_H130 zenon_H12f zenon_H4b zenon_H4c zenon_H4d zenon_H274 zenon_H6e zenon_H6d zenon_H6c zenon_Hf zenon_Hb1. % 1.21/1.36 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H9d | zenon_intro zenon_Hfa ]. % 1.21/1.36 apply (zenon_L255_); trivial. % 1.21/1.36 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6b | zenon_intro zenon_Hb2 ]. % 1.21/1.36 apply (zenon_L28_); trivial. % 1.21/1.36 exact (zenon_Hb1 zenon_Hb2). % 1.21/1.36 (* end of lemma zenon_L256_ *) % 1.21/1.36 assert (zenon_L257_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(hskp1)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> False). % 1.21/1.36 do 0 intro. intros zenon_H8b zenon_H155 zenon_Hb1 zenon_H274 zenon_H12f zenon_H130 zenon_H12e zenon_H15f zenon_H15e zenon_H160 zenon_Hf9 zenon_Hcc zenon_Hcb zenon_Hca zenon_H6c zenon_H6d zenon_H6e. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14a | zenon_intro zenon_H158 ]. % 1.21/1.36 apply (zenon_L256_); trivial. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H6b ]. % 1.21/1.36 apply (zenon_L51_); trivial. % 1.21/1.36 apply (zenon_L28_); trivial. % 1.21/1.36 (* end of lemma zenon_L257_ *) % 1.21/1.36 assert (zenon_L258_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> (~(hskp8)) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((hskp26)\/(hskp11)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.21/1.36 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H1bf zenon_H155 zenon_H274 zenon_Hf9 zenon_H12c zenon_H123 zenon_H1eb zenon_H22b zenon_H22c zenon_H237 zenon_H24f zenon_H1b5 zenon_H1f6 zenon_H125 zenon_H203 zenon_H207 zenon_H8e zenon_H40 zenon_H48 zenon_Hd5 zenon_H13b zenon_H1e0 zenon_H1d2 zenon_Hc0 zenon_H174 zenon_H107 zenon_H77 zenon_H85 zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_H142 zenon_H1c8 zenon_H8a zenon_Hb1 zenon_Hc1 zenon_H1e1 zenon_H198 zenon_H31 zenon_H5 zenon_H5f zenon_H62 zenon_H66 zenon_H6a. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.21/1.36 apply (zenon_L106_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.21/1.36 apply (zenon_L163_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.21/1.36 apply (zenon_L115_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.21/1.36 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.21/1.36 apply (zenon_L251_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.36 apply (zenon_L250_); trivial. % 1.21/1.36 apply (zenon_L257_); trivial. % 1.21/1.36 (* end of lemma zenon_L258_ *) % 1.21/1.36 assert (zenon_L259_ : ((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp8)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(c0_1 (a636))) -> (~(c1_1 (a636))) -> (c3_1 (a636)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> (~(hskp2)) -> False). % 1.21/1.36 do 0 intro. intros zenon_H61 zenon_H1c8 zenon_H46 zenon_H174 zenon_H40 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H37 zenon_H38 zenon_H39 zenon_H255 zenon_H142. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_Hf. zenon_intro zenon_H63. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H11. zenon_intro zenon_H64. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1c9 ]. % 1.21/1.36 apply (zenon_L132_); trivial. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H143 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H36 | zenon_intro zenon_H256 ]. % 1.21/1.36 apply (zenon_L14_); trivial. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H167 | zenon_intro zenon_H41 ]. % 1.21/1.36 apply (zenon_L175_); trivial. % 1.21/1.36 exact (zenon_H40 zenon_H41). % 1.21/1.36 exact (zenon_H142 zenon_H143). % 1.21/1.36 (* end of lemma zenon_L259_ *) % 1.21/1.36 assert (zenon_L260_ : ((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp8)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp11)) -> ((hskp26)\/(hskp11)) -> False). % 1.21/1.36 do 0 intro. intros zenon_H67 zenon_H66 zenon_H1c8 zenon_H142 zenon_H40 zenon_H255 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H46 zenon_H174 zenon_H3 zenon_H5. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Hf. zenon_intro zenon_H68. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H39. zenon_intro zenon_H69. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H37. zenon_intro zenon_H38. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.21/1.36 apply (zenon_L3_); trivial. % 1.21/1.36 apply (zenon_L259_); trivial. % 1.21/1.36 (* end of lemma zenon_L260_ *) % 1.21/1.36 assert (zenon_L261_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> (~(hskp11)) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (ndr1_0) -> ((hskp26)\/(hskp11)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.21/1.36 do 0 intro. intros zenon_H1bf zenon_H1e1 zenon_Hc1 zenon_Hb1 zenon_H178 zenon_H177 zenon_H176 zenon_H77 zenon_H85 zenon_H8a zenon_H31 zenon_H3 zenon_H160 zenon_H15f zenon_H15e zenon_Hf zenon_H5 zenon_H174 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H255 zenon_H40 zenon_H142 zenon_H1c8 zenon_H66 zenon_H6a. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.21/1.36 apply (zenon_L104_); trivial. % 1.21/1.36 apply (zenon_L260_); trivial. % 1.21/1.36 apply (zenon_L241_); trivial. % 1.21/1.36 (* end of lemma zenon_L261_ *) % 1.21/1.36 assert (zenon_L262_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp8)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((hskp26)\/(hskp11)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> False). % 1.21/1.36 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H22b zenon_H22c zenon_H237 zenon_H104 zenon_H6a zenon_H66 zenon_H1c8 zenon_H142 zenon_H40 zenon_H255 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H174 zenon_H5 zenon_H31 zenon_H8a zenon_H85 zenon_H77 zenon_H176 zenon_H177 zenon_H178 zenon_Hb1 zenon_Hc1 zenon_H1e1 zenon_H1bf. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.21/1.36 apply (zenon_L261_); trivial. % 1.21/1.36 apply (zenon_L243_); trivial. % 1.21/1.36 (* end of lemma zenon_L262_ *) % 1.21/1.36 assert (zenon_L263_ : ((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> (~(hskp8)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((hskp26)\/(hskp11)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp4)\/(hskp14))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> False). % 1.21/1.36 do 0 intro. intros zenon_H19c zenon_H209 zenon_H19b zenon_H22b zenon_H22c zenon_H237 zenon_H104 zenon_H6a zenon_H66 zenon_H40 zenon_H255 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H174 zenon_H5 zenon_H31 zenon_H8a zenon_H85 zenon_H77 zenon_Hb1 zenon_Hc1 zenon_H1e1 zenon_H1bf zenon_H1c8 zenon_H142 zenon_H17f zenon_H212 zenon_H217 zenon_H198. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.21/1.36 apply (zenon_L195_); trivial. % 1.21/1.36 apply (zenon_L262_); trivial. % 1.21/1.36 (* end of lemma zenon_L263_ *) % 1.21/1.36 assert (zenon_L264_ : ((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp15)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> False). % 1.21/1.36 do 0 intro. intros zenon_H19c zenon_H19b zenon_H1c8 zenon_H142 zenon_H22b zenon_H22c zenon_H237 zenon_H104 zenon_Hc1 zenon_Hb1 zenon_H184 zenon_H185 zenon_H186 zenon_H220 zenon_H1e1. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.21/1.36 apply (zenon_L199_); trivial. % 1.21/1.36 apply (zenon_L243_); trivial. % 1.21/1.36 (* end of lemma zenon_L264_ *) % 1.21/1.36 assert (zenon_L265_ : (forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37)))))) -> (ndr1_0) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> False). % 1.21/1.36 do 0 intro. intros zenon_H269 zenon_Hf zenon_H276 zenon_H277 zenon_H278. % 1.21/1.36 generalize (zenon_H269 (a589)). zenon_intro zenon_H279. % 1.21/1.36 apply (zenon_imply_s _ _ zenon_H279); [ zenon_intro zenon_He | zenon_intro zenon_H27a ]. % 1.21/1.36 exact (zenon_He zenon_Hf). % 1.21/1.36 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H27c | zenon_intro zenon_H27b ]. % 1.21/1.36 exact (zenon_H276 zenon_H27c). % 1.21/1.36 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H27e | zenon_intro zenon_H27d ]. % 1.21/1.36 exact (zenon_H27e zenon_H277). % 1.21/1.36 exact (zenon_H27d zenon_H278). % 1.21/1.36 (* end of lemma zenon_L265_ *) % 1.21/1.36 assert (zenon_L266_ : (~(hskp0)) -> (hskp0) -> False). % 1.21/1.36 do 0 intro. intros zenon_H27f zenon_H280. % 1.21/1.36 exact (zenon_H27f zenon_H280). % 1.21/1.36 (* end of lemma zenon_L266_ *) % 1.21/1.36 assert (zenon_L267_ : ((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/((hskp0)\/(hskp11))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (ndr1_0) -> (~(hskp0)) -> (~(hskp11)) -> False). % 1.21/1.36 do 0 intro. intros zenon_H281 zenon_H278 zenon_H277 zenon_H276 zenon_Hf zenon_H27f zenon_H3. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H269 | zenon_intro zenon_H282 ]. % 1.21/1.36 apply (zenon_L265_); trivial. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H280 | zenon_intro zenon_H4 ]. % 1.21/1.36 exact (zenon_H27f zenon_H280). % 1.21/1.36 exact (zenon_H3 zenon_H4). % 1.21/1.36 (* end of lemma zenon_L267_ *) % 1.21/1.36 assert (zenon_L268_ : ((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/((hskp15)\/(hskp25))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp25)) -> False). % 1.21/1.36 do 0 intro. intros zenon_H283 zenon_H278 zenon_H277 zenon_H276 zenon_Hf zenon_H83 zenon_H1d0. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H269 | zenon_intro zenon_H284 ]. % 1.21/1.36 apply (zenon_L265_); trivial. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H84 | zenon_intro zenon_H1d1 ]. % 1.21/1.36 exact (zenon_H83 zenon_H84). % 1.21/1.36 exact (zenon_H1d0 zenon_H1d1). % 1.21/1.36 (* end of lemma zenon_L268_ *) % 1.21/1.36 assert (zenon_L269_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> (ndr1_0) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/((hskp15)\/(hskp25))) -> False). % 1.21/1.36 do 0 intro. intros zenon_H1e0 zenon_H208 zenon_H17f zenon_H15a zenon_Hf zenon_H276 zenon_H277 zenon_H278 zenon_H83 zenon_H283. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ]. % 1.21/1.36 apply (zenon_L268_); trivial. % 1.21/1.36 apply (zenon_L186_); trivial. % 1.21/1.36 (* end of lemma zenon_L269_ *) % 1.21/1.36 assert (zenon_L270_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c3_1 (a678)) -> (c2_1 (a678)) -> (c0_1 (a678)) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a599)) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c1_1 (a599))) -> (ndr1_0) -> (~(hskp17)) -> False). % 1.21/1.36 do 0 intro. intros zenon_H123 zenon_H1e zenon_H1d zenon_H1f zenon_H276 zenon_H277 zenon_H278 zenon_H10b zenon_H10c zenon_H114 zenon_H274 zenon_Hcb zenon_H119 zenon_Hca zenon_Hf zenon_Ha. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10a | zenon_intro zenon_H124 ]. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H4a | zenon_intro zenon_H275 ]. % 1.21/1.36 apply (zenon_L246_); trivial. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H269 | zenon_intro zenon_H18f ]. % 1.21/1.36 apply (zenon_L265_); trivial. % 1.21/1.36 apply (zenon_L173_); trivial. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H11f | zenon_intro zenon_Hb ]. % 1.21/1.36 apply (zenon_L78_); trivial. % 1.21/1.36 exact (zenon_Ha zenon_Hb). % 1.21/1.36 (* end of lemma zenon_L270_ *) % 1.21/1.36 assert (zenon_L271_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp2)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp7)) -> (~(hskp17)) -> ((hskp29)\/((hskp7)\/(hskp17))) -> False). % 1.21/1.36 do 0 intro. intros zenon_H127 zenon_H30 zenon_H144 zenon_H142 zenon_H274 zenon_H278 zenon_H277 zenon_H276 zenon_Hca zenon_Hcb zenon_H123 zenon_H8 zenon_Ha zenon_Hc. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.21/1.36 apply (zenon_L7_); trivial. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hf. zenon_intro zenon_H33. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H1f. zenon_intro zenon_H34. % 1.21/1.36 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H119 | zenon_intro zenon_H145 ]. % 1.21/1.36 apply (zenon_L270_); trivial. % 1.21/1.36 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H143 | zenon_intro zenon_H9 ]. % 1.21/1.36 exact (zenon_H142 zenon_H143). % 1.21/1.36 exact (zenon_H8 zenon_H9). % 1.21/1.36 (* end of lemma zenon_L271_ *) % 1.21/1.36 assert (zenon_L272_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp2)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((hskp29)\/((hskp7)\/(hskp17))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> (~(hskp7)) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (ndr1_0) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c1_1 (a603))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H12c zenon_H30 zenon_H144 zenon_H142 zenon_H274 zenon_H278 zenon_H277 zenon_H276 zenon_H123 zenon_Ha zenon_Hc zenon_H9b zenon_H8 zenon_H92 zenon_H91 zenon_H90 zenon_Hf zenon_H102 zenon_He4 zenon_Hf9 zenon_Hb1 zenon_Hd8 zenon_Hd7 zenon_Hfb zenon_H107 zenon_H104 zenon_Hcc zenon_Hcb zenon_Hca zenon_H106 zenon_Hbf. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.37 apply (zenon_L73_); trivial. % 1.21/1.37 apply (zenon_L271_); trivial. % 1.21/1.37 (* end of lemma zenon_L272_ *) % 1.21/1.37 assert (zenon_L273_ : ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> False). % 1.21/1.37 do 0 intro. intros zenon_H274 zenon_H4d zenon_H4c zenon_H4b zenon_H278 zenon_H277 zenon_H276 zenon_Hf zenon_H119 zenon_Hca zenon_Hcb zenon_Hcc. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H4a | zenon_intro zenon_H275 ]. % 1.21/1.37 apply (zenon_L20_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H269 | zenon_intro zenon_H18f ]. % 1.21/1.37 apply (zenon_L265_); trivial. % 1.21/1.37 apply (zenon_L123_); trivial. % 1.21/1.37 (* end of lemma zenon_L273_ *) % 1.21/1.37 assert (zenon_L274_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp2)) -> (~(hskp7)) -> False). % 1.21/1.37 do 0 intro. intros zenon_H8b zenon_H144 zenon_Hcc zenon_Hcb zenon_Hca zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H142 zenon_H8. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H119 | zenon_intro zenon_H145 ]. % 1.21/1.37 apply (zenon_L273_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H143 | zenon_intro zenon_H9 ]. % 1.21/1.37 exact (zenon_H142 zenon_H143). % 1.21/1.37 exact (zenon_H8 zenon_H9). % 1.21/1.37 (* end of lemma zenon_L274_ *) % 1.21/1.37 assert (zenon_L275_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(c1_1 (a603))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (ndr1_0) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (~(hskp7)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> ((hskp29)\/((hskp7)\/(hskp17))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H8e zenon_Hbf zenon_H106 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H107 zenon_Hfb zenon_Hd7 zenon_Hd8 zenon_Hb1 zenon_Hf9 zenon_He4 zenon_H102 zenon_Hf zenon_H90 zenon_H91 zenon_H92 zenon_H8 zenon_H9b zenon_Hc zenon_H123 zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H142 zenon_H144 zenon_H30 zenon_H12c. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.37 apply (zenon_L272_); trivial. % 1.21/1.37 apply (zenon_L274_); trivial. % 1.21/1.37 (* end of lemma zenon_L275_ *) % 1.21/1.37 assert (zenon_L276_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> (~(hskp9)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp2)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((hskp29)\/((hskp7)\/(hskp17))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> (~(hskp7)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/((hskp15)\/(hskp25))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (~(hskp3)) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/((hskp3)\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H194 zenon_H1e1 zenon_H13b zenon_H5f zenon_H1d2 zenon_H12c zenon_H30 zenon_H144 zenon_H142 zenon_H274 zenon_H123 zenon_Hc zenon_H9b zenon_H8 zenon_H102 zenon_Hf9 zenon_Hb1 zenon_H107 zenon_H104 zenon_Hcc zenon_Hcb zenon_Hca zenon_H106 zenon_Hbf zenon_H8e zenon_H283 zenon_H278 zenon_H277 zenon_H276 zenon_H15a zenon_H17f zenon_H208 zenon_H1e0. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.21/1.37 apply (zenon_L269_); trivial. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.21/1.37 apply (zenon_L275_); trivial. % 1.21/1.37 apply (zenon_L188_); trivial. % 1.21/1.37 (* end of lemma zenon_L276_ *) % 1.21/1.37 assert (zenon_L277_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> (~(hskp9)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp2)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((hskp29)\/((hskp7)\/(hskp17))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> (~(hskp7)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/((hskp15)\/(hskp25))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (~(hskp3)) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/((hskp3)\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> (~(hskp8)) -> (~(hskp6)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp8)\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H197 zenon_H198 zenon_H1e1 zenon_H13b zenon_H5f zenon_H1d2 zenon_H12c zenon_H30 zenon_H144 zenon_H142 zenon_H274 zenon_H123 zenon_Hc zenon_H9b zenon_H8 zenon_H102 zenon_Hf9 zenon_Hb1 zenon_H107 zenon_H104 zenon_H106 zenon_Hbf zenon_H8e zenon_H283 zenon_H278 zenon_H277 zenon_H276 zenon_H15a zenon_H17f zenon_H208 zenon_H1e0 zenon_Hd5 zenon_H40 zenon_H42 zenon_H44 zenon_H6a. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.21/1.37 apply (zenon_L54_); trivial. % 1.21/1.37 apply (zenon_L276_); trivial. % 1.21/1.37 (* end of lemma zenon_L277_ *) % 1.21/1.37 assert (zenon_L278_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (ndr1_0) -> (~(hskp27)) -> False). % 1.21/1.37 do 0 intro. intros zenon_H285 zenon_H114 zenon_H10c zenon_H10b zenon_H278 zenon_H277 zenon_H276 zenon_Hf zenon_H75. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_Heb | zenon_intro zenon_H286 ]. % 1.21/1.37 apply (zenon_L136_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H269 | zenon_intro zenon_H76 ]. % 1.21/1.37 apply (zenon_L265_); trivial. % 1.21/1.37 exact (zenon_H75 zenon_H76). % 1.21/1.37 (* end of lemma zenon_L278_ *) % 1.21/1.37 assert (zenon_L279_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9)))))) -> (~(hskp6)) -> (~(hskp22)) -> (ndr1_0) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp16)) -> False). % 1.21/1.37 do 0 intro. intros zenon_H287 zenon_H114 zenon_H10c zenon_H10b zenon_H36 zenon_H42 zenon_H146 zenon_Hf zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H222 zenon_Hfb. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H10a | zenon_intro zenon_H288 ]. % 1.21/1.37 apply (zenon_L75_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H1c5 | zenon_intro zenon_Hfc ]. % 1.21/1.37 apply (zenon_L204_); trivial. % 1.21/1.37 exact (zenon_Hfb zenon_Hfc). % 1.21/1.37 (* end of lemma zenon_L279_ *) % 1.21/1.37 assert (zenon_L280_ : ((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (~(hskp6)) -> (~(hskp22)) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp16)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (c0_1 (a611)) -> (c1_1 (a611)) -> (c3_1 (a611)) -> False). % 1.21/1.37 do 0 intro. intros zenon_Hbc zenon_H24f zenon_H6e zenon_H6d zenon_H6c zenon_Hca zenon_Hcb zenon_Hcc zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H155 zenon_H5f zenon_H287 zenon_H114 zenon_H10c zenon_H10b zenon_H42 zenon_H146 zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H222 zenon_Hfb zenon_H62 zenon_H7a zenon_H7b zenon_H7c. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.21/1.37 apply (zenon_L150_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H36 | zenon_intro zenon_H65 ]. % 1.21/1.37 apply (zenon_L279_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H10 | zenon_intro zenon_H60 ]. % 1.21/1.37 apply (zenon_L109_); trivial. % 1.21/1.37 exact (zenon_H5f zenon_H60). % 1.21/1.37 apply (zenon_L31_); trivial. % 1.21/1.37 (* end of lemma zenon_L280_ *) % 1.21/1.37 assert (zenon_L281_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H127 zenon_H159 zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H1ba zenon_H6e zenon_H6d zenon_H6c zenon_H155 zenon_Hcc zenon_Hcb zenon_Hca zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H62 zenon_H5f zenon_H222 zenon_H42 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_Hfb zenon_H287 zenon_H24f zenon_Hc0 zenon_H8a. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H146 | zenon_intro zenon_H154 ]. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.21/1.37 apply (zenon_L278_); trivial. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.21/1.37 apply (zenon_L137_); trivial. % 1.21/1.37 apply (zenon_L280_); trivial. % 1.21/1.37 apply (zenon_L97_); trivial. % 1.21/1.37 (* end of lemma zenon_L281_ *) % 1.21/1.37 assert (zenon_L282_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> (ndr1_0) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H12c zenon_H159 zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H1ba zenon_H6e zenon_H6d zenon_H6c zenon_H155 zenon_Hcc zenon_Hcb zenon_Hca zenon_H62 zenon_H5f zenon_H222 zenon_H42 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_Hfb zenon_H287 zenon_H24f zenon_Hc0 zenon_H8a zenon_Hf zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H40 zenon_H1b5. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.37 apply (zenon_L135_); trivial. % 1.21/1.37 apply (zenon_L281_); trivial. % 1.21/1.37 (* end of lemma zenon_L282_ *) % 1.21/1.37 assert (zenon_L283_ : ((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp8)\/(hskp6))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (~(hskp4)) -> (~(hskp10)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H1bc zenon_H198 zenon_H13b zenon_H138 zenon_H1b5 zenon_H40 zenon_H8a zenon_H24f zenon_H287 zenon_H42 zenon_H222 zenon_H155 zenon_H1ba zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H159 zenon_H12c zenon_Hd5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H1c3 zenon_H1e5 zenon_H17f zenon_H1a zenon_H5f zenon_H62 zenon_Hc0 zenon_H6a. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.21/1.37 apply (zenon_L168_); trivial. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.21/1.37 apply (zenon_L282_); trivial. % 1.21/1.37 apply (zenon_L84_); trivial. % 1.21/1.37 (* end of lemma zenon_L283_ *) % 1.21/1.37 assert (zenon_L284_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H127 zenon_H8a zenon_H85 zenon_H83 zenon_H160 zenon_H15f zenon_H15e zenon_H276 zenon_H277 zenon_H278 zenon_H285. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.21/1.37 apply (zenon_L278_); trivial. % 1.21/1.37 apply (zenon_L113_); trivial. % 1.21/1.37 (* end of lemma zenon_L284_ *) % 1.21/1.37 assert (zenon_L285_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (ndr1_0) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H12c zenon_H8a zenon_H85 zenon_H83 zenon_H160 zenon_H15f zenon_H15e zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_Hf zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H40 zenon_H1b5. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.37 apply (zenon_L135_); trivial. % 1.21/1.37 apply (zenon_L284_); trivial. % 1.21/1.37 (* end of lemma zenon_L285_ *) % 1.21/1.37 assert (zenon_L286_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (ndr1_0) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H1e1 zenon_H66 zenon_Hc1 zenon_Hb1 zenon_H174 zenon_H46 zenon_H48 zenon_H1b5 zenon_H40 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_Hf zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H15e zenon_H15f zenon_H160 zenon_H85 zenon_H8a zenon_H12c. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.21/1.37 apply (zenon_L285_); trivial. % 1.21/1.37 apply (zenon_L162_); trivial. % 1.21/1.37 (* end of lemma zenon_L286_ *) % 1.21/1.37 assert (zenon_L287_ : ((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> (~(hskp17)) -> False). % 1.21/1.37 do 0 intro. intros zenon_H202 zenon_H289 zenon_H17f zenon_Ha. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_Hf. zenon_intro zenon_H204. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1fa. zenon_intro zenon_H205. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1fb. zenon_intro zenon_H1f9. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H28a ]. % 1.21/1.37 apply (zenon_L182_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H180 | zenon_intro zenon_Hb ]. % 1.21/1.37 exact (zenon_H17f zenon_H180). % 1.21/1.37 exact (zenon_Ha zenon_Hb). % 1.21/1.37 (* end of lemma zenon_L287_ *) % 1.21/1.37 assert (zenon_L288_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> (~(hskp17)) -> (~(hskp4)) -> (ndr1_0) -> (~(c2_1 (a606))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp24))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H207 zenon_H289 zenon_Ha zenon_H17f zenon_Hf zenon_H12e zenon_H12f zenon_H130 zenon_H276 zenon_H277 zenon_H278 zenon_H28b. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H202 ]. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H12d | zenon_intro zenon_H28c ]. % 1.21/1.37 apply (zenon_L83_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H269 | zenon_intro zenon_H1f5 ]. % 1.21/1.37 apply (zenon_L265_); trivial. % 1.21/1.37 exact (zenon_H1f4 zenon_H1f5). % 1.21/1.37 apply (zenon_L287_); trivial. % 1.21/1.37 (* end of lemma zenon_L288_ *) % 1.21/1.37 assert (zenon_L289_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp24))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (~(hskp4)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H137 zenon_H8e zenon_H155 zenon_Hcc zenon_Hcb zenon_Hca zenon_H274 zenon_H160 zenon_H15e zenon_H15f zenon_H6c zenon_H6d zenon_H6e zenon_Hb1 zenon_Hf9 zenon_H28b zenon_H278 zenon_H277 zenon_H276 zenon_H17f zenon_H289 zenon_H207. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.37 apply (zenon_L288_); trivial. % 1.21/1.37 apply (zenon_L257_); trivial. % 1.21/1.37 (* end of lemma zenon_L289_ *) % 1.21/1.37 assert (zenon_L290_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp24))) -> (~(hskp4)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> (~(hskp6)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp8)\/(hskp6))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((hskp26)\/(hskp11)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H1bf zenon_H198 zenon_H13b zenon_H8e zenon_H274 zenon_Hf9 zenon_H28b zenon_H17f zenon_H289 zenon_H207 zenon_Hc0 zenon_H24f zenon_H287 zenon_H222 zenon_H155 zenon_H1ba zenon_H159 zenon_Hd5 zenon_H42 zenon_H44 zenon_H12c zenon_H8a zenon_H85 zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H40 zenon_H1b5 zenon_H48 zenon_H174 zenon_Hb1 zenon_Hc1 zenon_H1e1 zenon_H31 zenon_H5 zenon_H5f zenon_H62 zenon_H66 zenon_H6a. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.21/1.37 apply (zenon_L106_); trivial. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.21/1.37 apply (zenon_L286_); trivial. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.21/1.37 apply (zenon_L54_); trivial. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.21/1.37 apply (zenon_L282_); trivial. % 1.21/1.37 apply (zenon_L289_); trivial. % 1.21/1.37 (* end of lemma zenon_L290_ *) % 1.21/1.37 assert (zenon_L291_ : ((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (~(hskp2)) -> False). % 1.21/1.37 do 0 intro. intros zenon_H1dd zenon_H1c8 zenon_H178 zenon_H177 zenon_H176 zenon_H142. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_Hf. zenon_intro zenon_H1de. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d6. zenon_intro zenon_H1df. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1c9 ]. % 1.21/1.37 apply (zenon_L116_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H143 ]. % 1.21/1.37 apply (zenon_L157_); trivial. % 1.21/1.37 exact (zenon_H142 zenon_H143). % 1.21/1.37 (* end of lemma zenon_L291_ *) % 1.21/1.37 assert (zenon_L292_ : ((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/((hskp15)\/(hskp25))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> (~(hskp8)) -> (~(hskp6)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp8)\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/((hskp0)\/(hskp11))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H19c zenon_H19b zenon_H198 zenon_H1e1 zenon_H106 zenon_H283 zenon_H142 zenon_H1c8 zenon_H1e0 zenon_Hd5 zenon_H40 zenon_H42 zenon_H44 zenon_H6a zenon_H276 zenon_H277 zenon_H278 zenon_H27f zenon_H281. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.21/1.37 apply (zenon_L267_); trivial. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.21/1.37 apply (zenon_L54_); trivial. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ]. % 1.21/1.37 apply (zenon_L268_); trivial. % 1.21/1.37 apply (zenon_L291_); trivial. % 1.21/1.37 apply (zenon_L210_); trivial. % 1.21/1.37 (* end of lemma zenon_L292_ *) % 1.21/1.37 assert (zenon_L293_ : ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (~(c3_1 (a592))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp18)) -> False). % 1.21/1.37 do 0 intro. intros zenon_H28d zenon_H1ac zenon_H1a3 zenon_Ha7 zenon_H1a5 zenon_Hf zenon_H6 zenon_H100. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H28e ]. % 1.21/1.37 apply (zenon_L142_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H7 | zenon_intro zenon_H101 ]. % 1.21/1.37 exact (zenon_H6 zenon_H7). % 1.21/1.37 exact (zenon_H100 zenon_H101). % 1.21/1.37 (* end of lemma zenon_L293_ *) % 1.21/1.37 assert (zenon_L294_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(c0_1 (a592))) -> (~(hskp18)) -> (~(hskp29)) -> (ndr1_0) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(hskp2)) -> False). % 1.21/1.37 do 0 intro. intros zenon_H1c8 zenon_H1a3 zenon_H100 zenon_H6 zenon_Hf zenon_H1a5 zenon_H1ac zenon_H28d zenon_H142. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1c9 ]. % 1.21/1.37 apply (zenon_L293_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H143 ]. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H28e ]. % 1.21/1.37 apply (zenon_L145_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H7 | zenon_intro zenon_H101 ]. % 1.21/1.37 exact (zenon_H6 zenon_H7). % 1.21/1.37 exact (zenon_H100 zenon_H101). % 1.21/1.37 exact (zenon_H142 zenon_H143). % 1.21/1.37 (* end of lemma zenon_L294_ *) % 1.21/1.37 assert (zenon_L295_ : ((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H32 zenon_H274 zenon_H4d zenon_H4c zenon_H4b zenon_H278 zenon_H277 zenon_H276. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hf. zenon_intro zenon_H33. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H1f. zenon_intro zenon_H34. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H4a | zenon_intro zenon_H275 ]. % 1.21/1.37 apply (zenon_L20_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H269 | zenon_intro zenon_H18f ]. % 1.21/1.37 apply (zenon_L265_); trivial. % 1.21/1.37 apply (zenon_L173_); trivial. % 1.21/1.37 (* end of lemma zenon_L295_ *) % 1.21/1.37 assert (zenon_L296_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(hskp18)) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (ndr1_0) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H30 zenon_H274 zenon_H278 zenon_H277 zenon_H276 zenon_H4d zenon_H4c zenon_H4b zenon_H28d zenon_H100 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hf zenon_H142 zenon_H1c8. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.21/1.37 apply (zenon_L294_); trivial. % 1.21/1.37 apply (zenon_L295_); trivial. % 1.21/1.37 (* end of lemma zenon_L296_ *) % 1.21/1.37 assert (zenon_L297_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (c3_1 (a636)) -> (~(c1_1 (a636))) -> (~(c0_1 (a636))) -> (c1_1 (a612)) -> (c3_1 (a612)) -> (c2_1 (a612)) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5)))))) -> (ndr1_0) -> (~(hskp9)) -> False). % 1.21/1.37 do 0 intro. intros zenon_H62 zenon_H39 zenon_H38 zenon_H37 zenon_Hb3 zenon_Hb5 zenon_Hb4 zenon_Hec zenon_Hf zenon_H5f. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H36 | zenon_intro zenon_H65 ]. % 1.21/1.37 apply (zenon_L14_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H10 | zenon_intro zenon_H60 ]. % 1.21/1.37 apply (zenon_L109_); trivial. % 1.21/1.37 exact (zenon_H5f zenon_H60). % 1.21/1.37 (* end of lemma zenon_L297_ *) % 1.21/1.37 assert (zenon_L298_ : ((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp9)) -> (~(c0_1 (a636))) -> (~(c1_1 (a636))) -> (c3_1 (a636)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (c0_1 (a611)) -> (c1_1 (a611)) -> (c3_1 (a611)) -> False). % 1.21/1.37 do 0 intro. intros zenon_Hbc zenon_H24f zenon_Hcc zenon_Hcb zenon_Hca zenon_H276 zenon_H277 zenon_H278 zenon_H4b zenon_H4c zenon_H4d zenon_H274 zenon_H5f zenon_H37 zenon_H38 zenon_H39 zenon_H62 zenon_H7a zenon_H7b zenon_H7c. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.21/1.37 apply (zenon_L273_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.21/1.37 apply (zenon_L297_); trivial. % 1.21/1.37 apply (zenon_L31_); trivial. % 1.21/1.37 (* end of lemma zenon_L298_ *) % 1.21/1.37 assert (zenon_L299_ : ((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H67 zenon_H8a zenon_Hc0 zenon_H24f zenon_H5f zenon_H62 zenon_H4b zenon_H4c zenon_H4d zenon_H274 zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H142 zenon_H1c8 zenon_H10b zenon_H10c zenon_H114 zenon_H276 zenon_H277 zenon_H278 zenon_H285. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Hf. zenon_intro zenon_H68. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H39. zenon_intro zenon_H69. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H37. zenon_intro zenon_H38. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.21/1.37 apply (zenon_L278_); trivial. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.21/1.37 apply (zenon_L146_); trivial. % 1.21/1.37 apply (zenon_L298_); trivial. % 1.21/1.37 (* end of lemma zenon_L299_ *) % 1.21/1.37 assert (zenon_L300_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(hskp14)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H8b zenon_H12c zenon_H6a zenon_H8a zenon_Hc0 zenon_H24f zenon_H5f zenon_H62 zenon_H1c3 zenon_H285 zenon_Hca zenon_Hcb zenon_Hcc zenon_Hd3 zenon_Hd5 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.37 apply (zenon_L296_); trivial. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.21/1.37 apply (zenon_L53_); trivial. % 1.21/1.37 apply (zenon_L299_); trivial. % 1.21/1.37 (* end of lemma zenon_L300_ *) % 1.21/1.37 assert (zenon_L301_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp3))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> (~(hskp3)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H197 zenon_H198 zenon_H15c zenon_H18d zenon_H15a zenon_H186 zenon_H185 zenon_H184 zenon_H30 zenon_H274 zenon_H278 zenon_H277 zenon_H276 zenon_H28d zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_H142 zenon_H1c8 zenon_Hd5 zenon_H285 zenon_H1c3 zenon_H62 zenon_H5f zenon_H24f zenon_Hc0 zenon_H8a zenon_H6a zenon_H12c zenon_H8e. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.37 apply (zenon_L120_); trivial. % 1.21/1.37 apply (zenon_L300_); trivial. % 1.21/1.37 apply (zenon_L125_); trivial. % 1.21/1.37 (* end of lemma zenon_L301_ *) % 1.21/1.37 assert (zenon_L302_ : ((ndr1_0)/\((c1_1 (a593))/\((c3_1 (a593))/\(~(c2_1 (a593)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((hskp26)\/(hskp11)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp3))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H19f zenon_H1a0 zenon_H181 zenon_H17f zenon_H8e zenon_H6a zenon_H5 zenon_H54 zenon_H62 zenon_H66 zenon_H15a zenon_H18d zenon_H12c zenon_H8a zenon_Hc0 zenon_H24f zenon_H1c3 zenon_H285 zenon_Hd5 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30 zenon_H15c zenon_H198 zenon_H19b. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.21/1.37 apply (zenon_L122_); trivial. % 1.21/1.37 apply (zenon_L301_); trivial. % 1.21/1.37 apply (zenon_L128_); trivial. % 1.21/1.37 (* end of lemma zenon_L302_ *) % 1.21/1.37 assert (zenon_L303_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (c3_1 (a604)) -> (~(c0_1 (a604))) -> (ndr1_0) -> (forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34)))))) -> (~(hskp10)) -> (~(hskp4)) -> False). % 1.21/1.37 do 0 intro. intros zenon_H1e5 zenon_H92 zenon_H90 zenon_Hf zenon_Heb zenon_H1a zenon_H17f. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_Hec | zenon_intro zenon_H1e6 ]. % 1.21/1.37 apply (zenon_L64_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H1b | zenon_intro zenon_H180 ]. % 1.21/1.37 exact (zenon_H1a zenon_H1b). % 1.21/1.37 exact (zenon_H17f zenon_H180). % 1.21/1.37 (* end of lemma zenon_L303_ *) % 1.21/1.37 assert (zenon_L304_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(hskp4)) -> (~(hskp10)) -> (~(c0_1 (a604))) -> (c3_1 (a604)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (ndr1_0) -> (~(hskp18)) -> False). % 1.21/1.37 do 0 intro. intros zenon_H102 zenon_H17f zenon_H1a zenon_H90 zenon_H92 zenon_H1e5 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_Hf zenon_H100. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Heb | zenon_intro zenon_H103 ]. % 1.21/1.37 apply (zenon_L303_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hfd | zenon_intro zenon_H101 ]. % 1.21/1.37 apply (zenon_L68_); trivial. % 1.21/1.37 exact (zenon_H100 zenon_H101). % 1.21/1.37 (* end of lemma zenon_L304_ *) % 1.21/1.37 assert (zenon_L305_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (~(c0_1 (a592))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> False). % 1.21/1.37 do 0 intro. intros zenon_H1eb zenon_H1ac zenon_H1a5 zenon_Ha7 zenon_H1a3 zenon_H4d zenon_H4c zenon_H4b zenon_Hf zenon_H119 zenon_Hca zenon_Hcb zenon_Hcc. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1ec ]. % 1.21/1.37 apply (zenon_L131_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H18f ]. % 1.21/1.37 apply (zenon_L20_); trivial. % 1.21/1.37 apply (zenon_L123_); trivial. % 1.21/1.37 (* end of lemma zenon_L305_ *) % 1.21/1.37 assert (zenon_L306_ : ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5)))))) -> (c3_1 (a612)) -> (c2_1 (a612)) -> (c1_1 (a612)) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.21/1.37 do 0 intro. intros zenon_H1c zenon_Hec zenon_Hb5 zenon_Hb4 zenon_Hb3 zenon_Hf zenon_H1a. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H1c); [ zenon_intro zenon_H10 | zenon_intro zenon_H21 ]. % 1.21/1.37 apply (zenon_L109_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H22 | zenon_intro zenon_H1b ]. % 1.21/1.37 apply (zenon_L47_); trivial. % 1.21/1.37 exact (zenon_H1a zenon_H1b). % 1.21/1.37 (* end of lemma zenon_L306_ *) % 1.21/1.37 assert (zenon_L307_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> (~(c0_1 (a592))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp10)) -> (c1_1 (a612)) -> (c2_1 (a612)) -> (c3_1 (a612)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (ndr1_0) -> (c0_1 (a611)) -> (c1_1 (a611)) -> (c3_1 (a611)) -> False). % 1.21/1.37 do 0 intro. intros zenon_H24f zenon_Hcc zenon_Hcb zenon_Hca zenon_H4b zenon_H4c zenon_H4d zenon_H1a3 zenon_Ha7 zenon_H1a5 zenon_H1ac zenon_H1eb zenon_H1a zenon_Hb3 zenon_Hb4 zenon_Hb5 zenon_H1c zenon_Hf zenon_H7a zenon_H7b zenon_H7c. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.21/1.37 apply (zenon_L305_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.21/1.37 apply (zenon_L306_); trivial. % 1.21/1.37 apply (zenon_L31_); trivial. % 1.21/1.37 (* end of lemma zenon_L307_ *) % 1.21/1.37 assert (zenon_L308_ : (forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (ndr1_0) -> (c0_1 (a600)) -> (forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2)))))) -> (~(c3_1 (a600))) -> (c2_1 (a600)) -> False). % 1.21/1.37 do 0 intro. intros zenon_H10 zenon_Hf zenon_H6d zenon_H1c5 zenon_H6c zenon_H6e. % 1.21/1.37 generalize (zenon_H10 (a600)). zenon_intro zenon_H28f. % 1.21/1.37 apply (zenon_imply_s _ _ zenon_H28f); [ zenon_intro zenon_He | zenon_intro zenon_H290 ]. % 1.21/1.37 exact (zenon_He zenon_Hf). % 1.21/1.37 apply (zenon_or_s _ _ zenon_H290); [ zenon_intro zenon_H74 | zenon_intro zenon_H291 ]. % 1.21/1.37 exact (zenon_H74 zenon_H6d). % 1.21/1.37 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H292 | zenon_intro zenon_H73 ]. % 1.21/1.37 generalize (zenon_H1c5 (a600)). zenon_intro zenon_H293. % 1.21/1.37 apply (zenon_imply_s _ _ zenon_H293); [ zenon_intro zenon_He | zenon_intro zenon_H294 ]. % 1.21/1.37 exact (zenon_He zenon_Hf). % 1.21/1.37 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H296 | zenon_intro zenon_H295 ]. % 1.21/1.37 exact (zenon_H292 zenon_H296). % 1.21/1.37 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H72 | zenon_intro zenon_H73 ]. % 1.21/1.37 exact (zenon_H6c zenon_H72). % 1.21/1.37 exact (zenon_H73 zenon_H6e). % 1.21/1.37 exact (zenon_H73 zenon_H6e). % 1.21/1.37 (* end of lemma zenon_L308_ *) % 1.21/1.37 assert (zenon_L309_ : ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (c2_1 (a600)) -> (~(c3_1 (a600))) -> (forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2)))))) -> (c0_1 (a600)) -> (c3_1 (a612)) -> (c2_1 (a612)) -> (c1_1 (a612)) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.21/1.37 do 0 intro. intros zenon_H1c zenon_H6e zenon_H6c zenon_H1c5 zenon_H6d zenon_Hb5 zenon_Hb4 zenon_Hb3 zenon_Hf zenon_H1a. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H1c); [ zenon_intro zenon_H10 | zenon_intro zenon_H21 ]. % 1.21/1.37 apply (zenon_L308_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H22 | zenon_intro zenon_H1b ]. % 1.21/1.37 apply (zenon_L47_); trivial. % 1.21/1.37 exact (zenon_H1a zenon_H1b). % 1.21/1.37 (* end of lemma zenon_L309_ *) % 1.21/1.37 assert (zenon_L310_ : ((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H87 zenon_Hc0 zenon_H1c8 zenon_H142 zenon_H1eb zenon_Hcc zenon_Hcb zenon_Hca zenon_H4d zenon_H4c zenon_H4b zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H1c zenon_H1a zenon_H24f zenon_H10b zenon_H10c zenon_H114 zenon_H6c zenon_H6d zenon_H6e zenon_H1ba. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.21/1.37 apply (zenon_L137_); trivial. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1c9 ]. % 1.21/1.37 apply (zenon_L307_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H143 ]. % 1.21/1.37 apply (zenon_L309_); trivial. % 1.21/1.37 exact (zenon_H142 zenon_H143). % 1.21/1.37 (* end of lemma zenon_L310_ *) % 1.21/1.37 assert (zenon_L311_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> (~(hskp8)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H127 zenon_H8a zenon_Hc0 zenon_H1c8 zenon_H142 zenon_H1eb zenon_Hcc zenon_Hcb zenon_Hca zenon_H4d zenon_H4c zenon_H4b zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H1c zenon_H1a zenon_H24f zenon_H1ba zenon_H6c zenon_H6d zenon_H6e zenon_H40 zenon_H77. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.21/1.37 apply (zenon_L30_); trivial. % 1.21/1.37 apply (zenon_L310_); trivial. % 1.21/1.37 (* end of lemma zenon_L311_ *) % 1.21/1.37 assert (zenon_L312_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (~(hskp4)) -> (~(hskp10)) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.21/1.37 do 0 intro. intros zenon_Hc6 zenon_H8e zenon_Hc0 zenon_H1c8 zenon_H142 zenon_H1c zenon_H1ba zenon_H1e5 zenon_H17f zenon_H1a zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H102 zenon_H1b5 zenon_H40 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H77 zenon_H6e zenon_H6d zenon_H6c zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H1eb zenon_Hcc zenon_Hcb zenon_Hca zenon_H123 zenon_Hb1 zenon_Hc1 zenon_H8a zenon_H12c. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.37 apply (zenon_L250_); trivial. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.37 apply (zenon_L304_); trivial. % 1.21/1.37 apply (zenon_L311_); trivial. % 1.21/1.37 (* end of lemma zenon_L312_ *) % 1.21/1.37 assert (zenon_L313_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H127 zenon_H8a zenon_Hc1 zenon_Hb1 zenon_H92 zenon_H91 zenon_H90 zenon_H123 zenon_Ha zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_Hca zenon_Hcb zenon_Hcc zenon_H1eb zenon_H22b zenon_H22c zenon_H237 zenon_H24f zenon_H276 zenon_H277 zenon_H278 zenon_H285. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.21/1.37 apply (zenon_L278_); trivial. % 1.21/1.37 apply (zenon_L249_); trivial. % 1.21/1.37 (* end of lemma zenon_L313_ *) % 1.21/1.37 assert (zenon_L314_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (ndr1_0) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H12c zenon_H8a zenon_Hc1 zenon_Hb1 zenon_H92 zenon_H91 zenon_H90 zenon_H123 zenon_Ha zenon_Hca zenon_Hcb zenon_Hcc zenon_H1eb zenon_H22b zenon_H22c zenon_H237 zenon_H24f zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_Hf zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H40 zenon_H1b5. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.37 apply (zenon_L135_); trivial. % 1.21/1.37 apply (zenon_L313_); trivial. % 1.21/1.37 (* end of lemma zenon_L314_ *) % 1.21/1.37 assert (zenon_L315_ : ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.21/1.37 do 0 intro. intros zenon_H54 zenon_H4d zenon_H4c zenon_H4b zenon_H160 zenon_H15f zenon_H18f zenon_Hf zenon_H2e. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H4a | zenon_intro zenon_H55 ]. % 1.21/1.37 apply (zenon_L20_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H56 | zenon_intro zenon_H2f ]. % 1.21/1.37 apply (zenon_L179_); trivial. % 1.21/1.37 exact (zenon_H2e zenon_H2f). % 1.21/1.37 (* end of lemma zenon_L315_ *) % 1.21/1.37 assert (zenon_L316_ : ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.21/1.37 do 0 intro. intros zenon_H274 zenon_H278 zenon_H277 zenon_H276 zenon_H54 zenon_H4d zenon_H4c zenon_H4b zenon_H160 zenon_H15f zenon_Hf zenon_H2e. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H4a | zenon_intro zenon_H275 ]. % 1.21/1.37 apply (zenon_L20_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H269 | zenon_intro zenon_H18f ]. % 1.21/1.37 apply (zenon_L265_); trivial. % 1.21/1.37 apply (zenon_L315_); trivial. % 1.21/1.37 (* end of lemma zenon_L316_ *) % 1.21/1.37 assert (zenon_L317_ : ((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H67 zenon_H8a zenon_Hc0 zenon_H24f zenon_H5f zenon_H62 zenon_H4b zenon_H4c zenon_H4d zenon_Hca zenon_Hcb zenon_Hcc zenon_H274 zenon_H6c zenon_H6d zenon_H6e zenon_H1ba zenon_H10b zenon_H10c zenon_H114 zenon_H276 zenon_H277 zenon_H278 zenon_H285. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Hf. zenon_intro zenon_H68. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H39. zenon_intro zenon_H69. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H37. zenon_intro zenon_H38. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.21/1.37 apply (zenon_L278_); trivial. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.21/1.37 apply (zenon_L137_); trivial. % 1.21/1.37 apply (zenon_L298_); trivial. % 1.21/1.37 (* end of lemma zenon_L317_ *) % 1.21/1.37 assert (zenon_L318_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (c3_1 (a598)) -> (c0_1 (a598)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H8b zenon_H12c zenon_H6a zenon_H8a zenon_Hc0 zenon_H24f zenon_H5f zenon_H62 zenon_Hca zenon_Hcb zenon_Hcc zenon_H6c zenon_H6d zenon_H6e zenon_H1ba zenon_H285 zenon_H54 zenon_H160 zenon_H15f zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.37 apply (zenon_L296_); trivial. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.21/1.37 apply (zenon_L316_); trivial. % 1.21/1.37 apply (zenon_L317_); trivial. % 1.21/1.37 (* end of lemma zenon_L318_ *) % 1.21/1.37 assert (zenon_L319_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((hskp26)\/(hskp11)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H1bf zenon_H8e zenon_Hc0 zenon_H1ba zenon_H54 zenon_H1c8 zenon_H142 zenon_H28d zenon_H274 zenon_H30 zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H1eb zenon_H123 zenon_H12c zenon_H8a zenon_H85 zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H40 zenon_H1b5 zenon_H48 zenon_H174 zenon_Hb1 zenon_Hc1 zenon_H1e1 zenon_H31 zenon_H5 zenon_H5f zenon_H62 zenon_H66 zenon_H6a. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.21/1.37 apply (zenon_L106_); trivial. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.21/1.37 apply (zenon_L286_); trivial. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.21/1.37 apply (zenon_L285_); trivial. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.37 apply (zenon_L314_); trivial. % 1.21/1.37 apply (zenon_L318_); trivial. % 1.21/1.37 (* end of lemma zenon_L319_ *) % 1.21/1.37 assert (zenon_L320_ : (forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))) -> (ndr1_0) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> False). % 1.21/1.37 do 0 intro. intros zenon_H9d zenon_Hf zenon_H297 zenon_H298 zenon_H299. % 1.21/1.37 generalize (zenon_H9d (a588)). zenon_intro zenon_H29a. % 1.21/1.37 apply (zenon_imply_s _ _ zenon_H29a); [ zenon_intro zenon_He | zenon_intro zenon_H29b ]. % 1.21/1.37 exact (zenon_He zenon_Hf). % 1.21/1.37 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_H29d | zenon_intro zenon_H29c ]. % 1.21/1.37 exact (zenon_H297 zenon_H29d). % 1.21/1.37 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H29f | zenon_intro zenon_H29e ]. % 1.21/1.37 exact (zenon_H298 zenon_H29f). % 1.21/1.37 exact (zenon_H29e zenon_H299). % 1.21/1.37 (* end of lemma zenon_L320_ *) % 1.21/1.37 assert (zenon_L321_ : ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp28)\/(hskp8))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp8)) -> False). % 1.21/1.37 do 0 intro. intros zenon_Haf zenon_H299 zenon_H298 zenon_H297 zenon_Hf zenon_Had zenon_H40. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H9d | zenon_intro zenon_Hb0 ]. % 1.21/1.37 apply (zenon_L320_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_Hae | zenon_intro zenon_H41 ]. % 1.21/1.37 exact (zenon_Had zenon_Hae). % 1.21/1.37 exact (zenon_H40 zenon_H41). % 1.21/1.37 (* end of lemma zenon_L321_ *) % 1.21/1.37 assert (zenon_L322_ : ((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (~(hskp1)) -> False). % 1.21/1.37 do 0 intro. intros zenon_H1bc zenon_Hf9 zenon_H299 zenon_H298 zenon_H297 zenon_Hb1. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H9d | zenon_intro zenon_Hfa ]. % 1.21/1.37 apply (zenon_L320_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6b | zenon_intro zenon_Hb2 ]. % 1.21/1.37 apply (zenon_L28_); trivial. % 1.21/1.37 exact (zenon_Hb1 zenon_Hb2). % 1.21/1.37 (* end of lemma zenon_L322_ *) % 1.21/1.37 assert (zenon_L323_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp28)\/(hskp8))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H1bf zenon_Hf9 zenon_Hb1 zenon_H48 zenon_H40 zenon_Haf zenon_H299 zenon_H298 zenon_H297 zenon_H1a zenon_H1c zenon_Hc0 zenon_H66. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.21/1.37 apply (zenon_L19_); trivial. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_Hf. zenon_intro zenon_H63. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H11. zenon_intro zenon_H64. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.21/1.37 apply (zenon_L321_); trivial. % 1.21/1.37 apply (zenon_L48_); trivial. % 1.21/1.37 apply (zenon_L322_); trivial. % 1.21/1.37 (* end of lemma zenon_L323_ *) % 1.21/1.37 assert (zenon_L324_ : ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (ndr1_0) -> (~(hskp22)) -> (~(hskp6)) -> False). % 1.21/1.37 do 0 intro. intros zenon_H222 zenon_H299 zenon_H298 zenon_H297 zenon_Hf zenon_H146 zenon_H42. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H9d | zenon_intro zenon_H223 ]. % 1.21/1.37 apply (zenon_L320_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H147 | zenon_intro zenon_H43 ]. % 1.21/1.37 exact (zenon_H146 zenon_H147). % 1.21/1.37 exact (zenon_H42 zenon_H43). % 1.21/1.37 (* end of lemma zenon_L324_ *) % 1.21/1.37 assert (zenon_L325_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp15)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp16)) -> (ndr1_0) -> (forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> (c2_1 (a612)) -> (c3_1 (a612)) -> (c1_1 (a612)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (~(hskp12)) -> False). % 1.21/1.37 do 0 intro. intros zenon_H174 zenon_H83 zenon_H15e zenon_H15f zenon_H160 zenon_H85 zenon_Hfb zenon_Hf zenon_H6b zenon_Hd7 zenon_Hd8 zenon_Hb4 zenon_Hb5 zenon_Hb3 zenon_H107 zenon_H46. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H167 | zenon_intro zenon_H175 ]. % 1.21/1.37 apply (zenon_L108_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H10 | zenon_intro zenon_H47 ]. % 1.21/1.37 apply (zenon_L110_); trivial. % 1.21/1.37 exact (zenon_H46 zenon_H47). % 1.21/1.37 (* end of lemma zenon_L325_ *) % 1.21/1.37 assert (zenon_L326_ : ((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c1_1 (a633)) -> (~(c3_1 (a633))) -> (~(c0_1 (a633))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp15)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp16)) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (~(hskp12)) -> False). % 1.21/1.37 do 0 intro. intros zenon_Hbc zenon_H155 zenon_H14d zenon_H14c zenon_H14b zenon_Hcc zenon_Hcb zenon_Hca zenon_H174 zenon_H83 zenon_H15e zenon_H15f zenon_H160 zenon_H85 zenon_Hfb zenon_Hd7 zenon_Hd8 zenon_H107 zenon_H46. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.21/1.37 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14a | zenon_intro zenon_H158 ]. % 1.21/1.37 apply (zenon_L96_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H6b ]. % 1.21/1.37 apply (zenon_L51_); trivial. % 1.21/1.37 apply (zenon_L325_); trivial. % 1.21/1.37 (* end of lemma zenon_L326_ *) % 1.21/1.37 assert (zenon_L327_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp8)\/(hskp6))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (ndr1_0) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp28)\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> (~(hskp15)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H13b zenon_H138 zenon_H222 zenon_H42 zenon_H299 zenon_H298 zenon_H297 zenon_Hf zenon_Haf zenon_H40 zenon_Hca zenon_Hcb zenon_Hcc zenon_H174 zenon_H46 zenon_Hd7 zenon_Hd8 zenon_H107 zenon_H15e zenon_H15f zenon_H160 zenon_H83 zenon_H85 zenon_H155 zenon_Hc0 zenon_H159. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H146 | zenon_intro zenon_H154 ]. % 1.21/1.37 apply (zenon_L324_); trivial. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_Hf. zenon_intro zenon_H156. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14d. zenon_intro zenon_H157. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.21/1.37 apply (zenon_L321_); trivial. % 1.21/1.37 apply (zenon_L326_); trivial. % 1.21/1.37 apply (zenon_L84_); trivial. % 1.21/1.37 (* end of lemma zenon_L327_ *) % 1.21/1.37 assert (zenon_L328_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (c3_1 (a604)) -> (~(c0_1 (a604))) -> (forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34)))))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))) -> (ndr1_0) -> (~(hskp16)) -> False). % 1.21/1.37 do 0 intro. intros zenon_H107 zenon_H92 zenon_H90 zenon_Heb zenon_Hd8 zenon_Hd7 zenon_H6b zenon_Hf zenon_Hfb. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hec | zenon_intro zenon_H109 ]. % 1.21/1.37 apply (zenon_L64_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_He0 | zenon_intro zenon_Hfc ]. % 1.21/1.37 apply (zenon_L56_); trivial. % 1.21/1.37 exact (zenon_Hfb zenon_Hfc). % 1.21/1.37 (* end of lemma zenon_L328_ *) % 1.21/1.37 assert (zenon_L329_ : ((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(hskp16)) -> (~(c0_1 (a604))) -> (c3_1 (a604)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (~(hskp18)) -> False). % 1.21/1.37 do 0 intro. intros zenon_H154 zenon_H102 zenon_Hfb zenon_H90 zenon_H92 zenon_H107 zenon_Hca zenon_Hcb zenon_Hcc zenon_H155 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H100. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_Hf. zenon_intro zenon_H156. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14d. zenon_intro zenon_H157. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Heb | zenon_intro zenon_H103 ]. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14a | zenon_intro zenon_H158 ]. % 1.21/1.37 apply (zenon_L96_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H6b ]. % 1.21/1.37 apply (zenon_L51_); trivial. % 1.21/1.37 apply (zenon_L328_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hfd | zenon_intro zenon_H101 ]. % 1.21/1.37 apply (zenon_L68_); trivial. % 1.21/1.37 exact (zenon_H100 zenon_H101). % 1.21/1.37 (* end of lemma zenon_L329_ *) % 1.21/1.37 assert (zenon_L330_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(hskp18)) -> (~(c1_1 (a603))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (~(hskp16)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (c3_1 (a604)) -> (~(c0_1 (a604))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (ndr1_0) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H159 zenon_H102 zenon_H100 zenon_He4 zenon_Hca zenon_Hcb zenon_Hcc zenon_H107 zenon_Hfb zenon_Hd8 zenon_Hd7 zenon_H92 zenon_H90 zenon_H155 zenon_Hf zenon_H297 zenon_H298 zenon_H299 zenon_H42 zenon_H222. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H146 | zenon_intro zenon_H154 ]. % 1.21/1.37 apply (zenon_L324_); trivial. % 1.21/1.37 apply (zenon_L329_); trivial. % 1.21/1.37 (* end of lemma zenon_L330_ *) % 1.21/1.37 assert (zenon_L331_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp8)\/(hskp6))) -> (~(hskp8)) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (ndr1_0) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c0_1 (a604))) -> (c3_1 (a604)) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c1_1 (a603))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H12c zenon_H128 zenon_H125 zenon_H44 zenon_H40 zenon_Ha zenon_H123 zenon_H222 zenon_H42 zenon_H299 zenon_H298 zenon_H297 zenon_Hf zenon_H155 zenon_H90 zenon_H92 zenon_Hd7 zenon_Hd8 zenon_Hfb zenon_H107 zenon_Hcc zenon_Hcb zenon_Hca zenon_He4 zenon_H102 zenon_H159. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.37 apply (zenon_L330_); trivial. % 1.21/1.37 apply (zenon_L81_); trivial. % 1.21/1.37 (* end of lemma zenon_L331_ *) % 1.21/1.37 assert (zenon_L332_ : (forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))) -> (ndr1_0) -> (~(c3_1 (a651))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c1_1 (a651))) -> (c2_1 (a651)) -> False). % 1.21/1.37 do 0 intro. intros zenon_H6b zenon_Hf zenon_H1d5 zenon_H119 zenon_H1d4 zenon_H1d6. % 1.21/1.37 generalize (zenon_H6b (a651)). zenon_intro zenon_H2a0. % 1.21/1.37 apply (zenon_imply_s _ _ zenon_H2a0); [ zenon_intro zenon_He | zenon_intro zenon_H2a1 ]. % 1.21/1.37 exact (zenon_He zenon_Hf). % 1.21/1.37 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H1dc | zenon_intro zenon_H2a2 ]. % 1.21/1.37 exact (zenon_H1d5 zenon_H1dc). % 1.21/1.37 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H1db ]. % 1.21/1.37 generalize (zenon_H119 (a651)). zenon_intro zenon_H2a4. % 1.21/1.37 apply (zenon_imply_s _ _ zenon_H2a4); [ zenon_intro zenon_He | zenon_intro zenon_H2a5 ]. % 1.21/1.37 exact (zenon_He zenon_Hf). % 1.21/1.37 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a6 ]. % 1.21/1.37 exact (zenon_H2a3 zenon_H2a7). % 1.21/1.37 apply (zenon_or_s _ _ zenon_H2a6); [ zenon_intro zenon_H1da | zenon_intro zenon_H1db ]. % 1.21/1.37 exact (zenon_H1d4 zenon_H1da). % 1.21/1.37 exact (zenon_H1db zenon_H1d6). % 1.21/1.37 exact (zenon_H1db zenon_H1d6). % 1.21/1.37 (* end of lemma zenon_L332_ *) % 1.21/1.37 assert (zenon_L333_ : ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c1_1 (a633)) -> (~(c3_1 (a633))) -> (~(c0_1 (a633))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (ndr1_0) -> (~(c3_1 (a651))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c1_1 (a651))) -> (c2_1 (a651)) -> False). % 1.21/1.37 do 0 intro. intros zenon_H155 zenon_H14d zenon_H14c zenon_H14b zenon_Hcc zenon_Hcb zenon_Hca zenon_Hf zenon_H1d5 zenon_H119 zenon_H1d4 zenon_H1d6. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14a | zenon_intro zenon_H158 ]. % 1.21/1.37 apply (zenon_L96_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H6b ]. % 1.21/1.37 apply (zenon_L51_); trivial. % 1.21/1.37 apply (zenon_L332_); trivial. % 1.21/1.37 (* end of lemma zenon_L333_ *) % 1.21/1.37 assert (zenon_L334_ : ((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c0_1 (a633))) -> (~(c3_1 (a633))) -> (c1_1 (a633)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(hskp2)) -> (~(hskp7)) -> False). % 1.21/1.37 do 0 intro. intros zenon_H1dd zenon_H144 zenon_Hca zenon_Hcb zenon_Hcc zenon_H14b zenon_H14c zenon_H14d zenon_H155 zenon_H142 zenon_H8. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_Hf. zenon_intro zenon_H1de. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d6. zenon_intro zenon_H1df. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H119 | zenon_intro zenon_H145 ]. % 1.21/1.37 apply (zenon_L333_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H143 | zenon_intro zenon_H9 ]. % 1.21/1.37 exact (zenon_H142 zenon_H143). % 1.21/1.37 exact (zenon_H8 zenon_H9). % 1.21/1.37 (* end of lemma zenon_L334_ *) % 1.21/1.37 assert (zenon_L335_ : ((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c2_1 (a606))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(hskp9)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H154 zenon_H1e0 zenon_H144 zenon_H8 zenon_H142 zenon_Hca zenon_Hcb zenon_Hcc zenon_H155 zenon_H12e zenon_H12f zenon_H130 zenon_H5f zenon_H1d2. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_Hf. zenon_intro zenon_H156. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14d. zenon_intro zenon_H157. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ]. % 1.21/1.37 apply (zenon_L156_); trivial. % 1.21/1.37 apply (zenon_L334_); trivial. % 1.21/1.37 (* end of lemma zenon_L335_ *) % 1.21/1.37 assert (zenon_L336_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(hskp9)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H137 zenon_H159 zenon_H1e0 zenon_H144 zenon_H8 zenon_H142 zenon_Hca zenon_Hcb zenon_Hcc zenon_H155 zenon_H5f zenon_H1d2 zenon_H297 zenon_H298 zenon_H299 zenon_H42 zenon_H222. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H146 | zenon_intro zenon_H154 ]. % 1.21/1.37 apply (zenon_L324_); trivial. % 1.21/1.37 apply (zenon_L335_); trivial. % 1.21/1.37 (* end of lemma zenon_L336_ *) % 1.21/1.37 assert (zenon_L337_ : ((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H1bc zenon_H159 zenon_H155 zenon_Hcc zenon_Hcb zenon_Hca zenon_H297 zenon_H298 zenon_H299 zenon_H42 zenon_H222. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H146 | zenon_intro zenon_H154 ]. % 1.21/1.37 apply (zenon_L324_); trivial. % 1.21/1.37 apply (zenon_L97_); trivial. % 1.21/1.37 (* end of lemma zenon_L337_ *) % 1.21/1.37 assert (zenon_L338_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp10)) -> (ndr1_0) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp10))) -> (~(hskp2)) -> False). % 1.21/1.37 do 0 intro. intros zenon_H1c8 zenon_H1a zenon_Hf zenon_H297 zenon_H298 zenon_H299 zenon_H176 zenon_H177 zenon_H178 zenon_H217 zenon_H142. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1c9 ]. % 1.21/1.37 apply (zenon_L116_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H143 ]. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H218 ]. % 1.21/1.37 apply (zenon_L191_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H9d | zenon_intro zenon_H1b ]. % 1.21/1.37 apply (zenon_L320_); trivial. % 1.21/1.37 exact (zenon_H1a zenon_H1b). % 1.21/1.37 exact (zenon_H142 zenon_H143). % 1.21/1.37 (* end of lemma zenon_L338_ *) % 1.21/1.37 assert (zenon_L339_ : ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp8)\/(hskp6))) -> (~(hskp6)) -> (~(hskp8)) -> (ndr1_0) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> (~(hskp11)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H6a zenon_H44 zenon_H42 zenon_H40 zenon_Hf zenon_H15e zenon_H15f zenon_H160 zenon_H3 zenon_H31. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.21/1.37 apply (zenon_L104_); trivial. % 1.21/1.37 apply (zenon_L36_); trivial. % 1.21/1.37 (* end of lemma zenon_L339_ *) % 1.21/1.37 assert (zenon_L340_ : ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp28)\/(hskp8))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2)))))) -> (~(c1_1 (a603))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp8)) -> False). % 1.21/1.37 do 0 intro. intros zenon_Haf zenon_Hd8 zenon_Hd7 zenon_H1c5 zenon_He4 zenon_Hf zenon_Had zenon_H40. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H9d | zenon_intro zenon_Hb0 ]. % 1.21/1.37 apply (zenon_L194_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hb0); [ zenon_intro zenon_Hae | zenon_intro zenon_H41 ]. % 1.21/1.37 exact (zenon_Had zenon_Hae). % 1.21/1.37 exact (zenon_H40 zenon_H41). % 1.21/1.37 (* end of lemma zenon_L340_ *) % 1.21/1.37 assert (zenon_L341_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp28)\/(hskp8))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp8)\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (ndr1_0) -> (~(hskp8)) -> (~(hskp6)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp8)\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H198 zenon_H1e1 zenon_H106 zenon_H159 zenon_Hc0 zenon_H155 zenon_H85 zenon_H160 zenon_H15f zenon_H15e zenon_H107 zenon_H46 zenon_H174 zenon_Haf zenon_H176 zenon_H177 zenon_H178 zenon_H222 zenon_H142 zenon_H1c8 zenon_H138 zenon_H13b zenon_Hd5 zenon_Hcc zenon_Hcb zenon_Hca zenon_Hf zenon_H40 zenon_H42 zenon_H44 zenon_H6a. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.21/1.37 apply (zenon_L54_); trivial. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H146 | zenon_intro zenon_H154 ]. % 1.21/1.37 apply (zenon_L205_); trivial. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_Hf. zenon_intro zenon_H156. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14d. zenon_intro zenon_H157. % 1.21/1.37 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.21/1.37 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1c9 ]. % 1.21/1.37 apply (zenon_L116_); trivial. % 1.21/1.37 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H143 ]. % 1.21/1.37 apply (zenon_L340_); trivial. % 1.21/1.37 exact (zenon_H142 zenon_H143). % 1.21/1.37 apply (zenon_L326_); trivial. % 1.21/1.37 apply (zenon_L84_); trivial. % 1.21/1.37 apply (zenon_L210_); trivial. % 1.21/1.37 (* end of lemma zenon_L341_ *) % 1.21/1.37 assert (zenon_L342_ : ((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp8)\/(hskp6))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp28)\/(hskp8))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> (~(hskp8)) -> (~(hskp6)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp8)\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp10))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> False). % 1.21/1.37 do 0 intro. intros zenon_H19c zenon_H209 zenon_H19b zenon_H1bf zenon_Hd5 zenon_H13b zenon_H138 zenon_H222 zenon_Haf zenon_H174 zenon_H107 zenon_H85 zenon_H155 zenon_Hc0 zenon_H159 zenon_H106 zenon_H1e1 zenon_H198 zenon_H31 zenon_H40 zenon_H42 zenon_H44 zenon_H6a zenon_H217 zenon_H299 zenon_H298 zenon_H297 zenon_H142 zenon_H1c8. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.21/1.38 apply (zenon_L338_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.21/1.38 apply (zenon_L339_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.21/1.38 apply (zenon_L341_); trivial. % 1.21/1.38 apply (zenon_L337_); trivial. % 1.21/1.38 (* end of lemma zenon_L342_ *) % 1.21/1.38 assert (zenon_L343_ : (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16))))) -> (ndr1_0) -> (~(c0_1 (a595))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> False). % 1.21/1.38 do 0 intro. intros zenon_Hf5 zenon_Hf zenon_H176 zenon_H119 zenon_H177 zenon_H178. % 1.21/1.38 generalize (zenon_Hf5 (a595)). zenon_intro zenon_H20a. % 1.21/1.38 apply (zenon_imply_s _ _ zenon_H20a); [ zenon_intro zenon_He | zenon_intro zenon_H20b ]. % 1.21/1.38 exact (zenon_He zenon_Hf). % 1.21/1.38 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H17c | zenon_intro zenon_H20c ]. % 1.21/1.38 exact (zenon_H176 zenon_H17c). % 1.21/1.38 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H20d | zenon_intro zenon_H17d ]. % 1.21/1.38 generalize (zenon_H119 (a595)). zenon_intro zenon_H2a8. % 1.21/1.38 apply (zenon_imply_s _ _ zenon_H2a8); [ zenon_intro zenon_He | zenon_intro zenon_H2a9 ]. % 1.21/1.38 exact (zenon_He zenon_Hf). % 1.21/1.38 apply (zenon_or_s _ _ zenon_H2a9); [ zenon_intro zenon_H17c | zenon_intro zenon_H2aa ]. % 1.21/1.38 exact (zenon_H176 zenon_H17c). % 1.21/1.38 apply (zenon_or_s _ _ zenon_H2aa); [ zenon_intro zenon_H17e | zenon_intro zenon_H211 ]. % 1.21/1.38 exact (zenon_H177 zenon_H17e). % 1.21/1.38 exact (zenon_H211 zenon_H20d). % 1.21/1.38 exact (zenon_H178 zenon_H17d). % 1.21/1.38 (* end of lemma zenon_L343_ *) % 1.21/1.38 assert (zenon_L344_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c0_1 (a595))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))) -> (c0_1 (a598)) -> (ndr1_0) -> (~(hskp11)) -> False). % 1.21/1.38 do 0 intro. intros zenon_H2ab zenon_H178 zenon_H177 zenon_H119 zenon_H176 zenon_H160 zenon_H15e zenon_H9d zenon_H15f zenon_Hf zenon_H3. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H2ac ]. % 1.21/1.38 apply (zenon_L343_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H18f | zenon_intro zenon_H4 ]. % 1.21/1.38 apply (zenon_L254_); trivial. % 1.21/1.38 exact (zenon_H3 zenon_H4). % 1.21/1.38 (* end of lemma zenon_L344_ *) % 1.21/1.38 assert (zenon_L345_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp11)) -> (ndr1_0) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp15)\/(hskp11))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (~(hskp15)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp2)) -> (~(hskp7)) -> False). % 1.21/1.38 do 0 intro. intros zenon_H144 zenon_H3 zenon_Hf zenon_H15f zenon_H15e zenon_H160 zenon_H176 zenon_H177 zenon_H178 zenon_H2ab zenon_H220 zenon_H186 zenon_H185 zenon_H184 zenon_H83 zenon_H106 zenon_H142 zenon_H8. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H119 | zenon_intro zenon_H145 ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H108 ]. % 1.21/1.38 apply (zenon_L343_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H8f | zenon_intro zenon_H9d ]. % 1.21/1.38 apply (zenon_L197_); trivial. % 1.21/1.38 apply (zenon_L344_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H143 | zenon_intro zenon_H9 ]. % 1.21/1.38 exact (zenon_H142 zenon_H143). % 1.21/1.38 exact (zenon_H8 zenon_H9). % 1.21/1.38 (* end of lemma zenon_L345_ *) % 1.21/1.38 assert (zenon_L346_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp2)) -> False). % 1.21/1.38 do 0 intro. intros zenon_Hc6 zenon_H1c8 zenon_H299 zenon_H298 zenon_H297 zenon_H176 zenon_H177 zenon_H178 zenon_H106 zenon_H142. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1c9 ]. % 1.21/1.38 apply (zenon_L116_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H143 ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H108 ]. % 1.21/1.38 apply (zenon_L191_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H8f | zenon_intro zenon_H9d ]. % 1.21/1.38 apply (zenon_L39_); trivial. % 1.21/1.38 apply (zenon_L320_); trivial. % 1.21/1.38 exact (zenon_H142 zenon_H143). % 1.21/1.38 (* end of lemma zenon_L346_ *) % 1.21/1.38 assert (zenon_L347_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp11)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp15)\/(hskp11))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (ndr1_0) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H1e1 zenon_H1c8 zenon_H297 zenon_H298 zenon_H299 zenon_H106 zenon_H15f zenon_H15e zenon_H160 zenon_H2ab zenon_H184 zenon_H185 zenon_H186 zenon_H3 zenon_H220 zenon_H178 zenon_H177 zenon_H176 zenon_Hf zenon_H142 zenon_H8 zenon_H144. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.21/1.38 apply (zenon_L345_); trivial. % 1.21/1.38 apply (zenon_L346_); trivial. % 1.21/1.38 (* end of lemma zenon_L347_ *) % 1.21/1.38 assert (zenon_L348_ : ((ndr1_0)/\((c1_1 (a593))/\((c3_1 (a593))/\(~(c2_1 (a593)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp15)\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp10))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((hskp26)\/(hskp11)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp3))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H19f zenon_H1a0 zenon_H209 zenon_H220 zenon_H2ab zenon_H106 zenon_H1e1 zenon_H217 zenon_H299 zenon_H298 zenon_H297 zenon_H1c8 zenon_H8e zenon_H6a zenon_H5 zenon_H54 zenon_H62 zenon_H66 zenon_H15a zenon_H18d zenon_H144 zenon_H8 zenon_H142 zenon_H192 zenon_H15c zenon_H198 zenon_H19b. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.21/1.38 apply (zenon_L127_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.21/1.38 apply (zenon_L338_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.21/1.38 apply (zenon_L347_); trivial. % 1.21/1.38 apply (zenon_L126_); trivial. % 1.21/1.38 (* end of lemma zenon_L348_ *) % 1.21/1.38 assert (zenon_L349_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (ndr1_0) -> (~(hskp14)) -> False). % 1.21/1.38 do 0 intro. intros zenon_H2ad zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H299 zenon_H298 zenon_H297 zenon_Hf zenon_Hd3. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H2ae ]. % 1.21/1.38 apply (zenon_L134_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ]. % 1.21/1.38 apply (zenon_L320_); trivial. % 1.21/1.38 exact (zenon_Hd3 zenon_Hd4). % 1.21/1.38 (* end of lemma zenon_L349_ *) % 1.21/1.38 assert (zenon_L350_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp12)) -> (c0_1 (a583)) -> (c1_1 (a583)) -> (c2_1 (a583)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c3_1 (a678)) -> (c2_1 (a678)) -> (c0_1 (a678)) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp2)) -> False). % 1.21/1.38 do 0 intro. intros zenon_H1c8 zenon_H46 zenon_H11 zenon_H12 zenon_H13 zenon_H174 zenon_H1e zenon_H1d zenon_H1f zenon_Hf zenon_H10a zenon_H10b zenon_H10c zenon_H114 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H1eb zenon_H142. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1c9 ]. % 1.21/1.38 apply (zenon_L132_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H143 ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1ec ]. % 1.21/1.38 apply (zenon_L175_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H18f ]. % 1.21/1.38 apply (zenon_L246_); trivial. % 1.21/1.38 apply (zenon_L173_); trivial. % 1.21/1.38 exact (zenon_H142 zenon_H143). % 1.21/1.38 (* end of lemma zenon_L350_ *) % 1.21/1.38 assert (zenon_L351_ : ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (ndr1_0) -> (forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))) -> (~(hskp1)) -> False). % 1.21/1.38 do 0 intro. intros zenon_Hf9 zenon_H299 zenon_H298 zenon_H297 zenon_Hd8 zenon_Hd7 zenon_Hf zenon_He0 zenon_Hb1. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H9d | zenon_intro zenon_Hfa ]. % 1.21/1.38 apply (zenon_L320_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6b | zenon_intro zenon_Hb2 ]. % 1.21/1.38 apply (zenon_L56_); trivial. % 1.21/1.38 exact (zenon_Hb1 zenon_Hb2). % 1.21/1.38 (* end of lemma zenon_L351_ *) % 1.21/1.38 assert (zenon_L352_ : ((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H61 zenon_H30 zenon_H229 zenon_H297 zenon_H298 zenon_H299 zenon_Hd7 zenon_Hd8 zenon_Hb1 zenon_Hf9 zenon_H1eb zenon_H114 zenon_H10c zenon_H10b zenon_H46 zenon_H174 zenon_H1e7 zenon_H83 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_H142 zenon_H1c8. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_Hf. zenon_intro zenon_H63. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H11. zenon_intro zenon_H64. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.21/1.38 apply (zenon_L172_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hf. zenon_intro zenon_H33. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H1f. zenon_intro zenon_H34. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H22a ]. % 1.21/1.38 apply (zenon_L132_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H10a | zenon_intro zenon_He0 ]. % 1.21/1.38 apply (zenon_L350_); trivial. % 1.21/1.38 apply (zenon_L351_); trivial. % 1.21/1.38 (* end of lemma zenon_L352_ *) % 1.21/1.38 assert (zenon_L353_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp17)) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (~(c0_1 (a592))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (c3_1 (a599)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp5)) -> (~(hskp6)) -> False). % 1.21/1.38 do 0 intro. intros zenon_H128 zenon_Ha zenon_Hf zenon_Hca zenon_Hcb zenon_H1eb zenon_H1ac zenon_H1a5 zenon_Ha7 zenon_H1a3 zenon_H114 zenon_H10c zenon_H10b zenon_Hcc zenon_H123 zenon_H125 zenon_H42. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H119 | zenon_intro zenon_H12b ]. % 1.21/1.38 apply (zenon_L247_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H126 | zenon_intro zenon_H43 ]. % 1.21/1.38 exact (zenon_H125 zenon_H126). % 1.21/1.38 exact (zenon_H42 zenon_H43). % 1.21/1.38 (* end of lemma zenon_L353_ *) % 1.21/1.38 assert (zenon_L354_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp12)) -> (c0_1 (a583)) -> (c1_1 (a583)) -> (c2_1 (a583)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp6)) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp2)) -> False). % 1.21/1.38 do 0 intro. intros zenon_H1c8 zenon_H46 zenon_H11 zenon_H12 zenon_H13 zenon_H174 zenon_H42 zenon_H125 zenon_H1eb zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H114 zenon_H10c zenon_H10b zenon_H10a zenon_Hf zenon_Hca zenon_Hcb zenon_Hcc zenon_H128 zenon_H142. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1c9 ]. % 1.21/1.38 apply (zenon_L132_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H143 ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H119 | zenon_intro zenon_H12b ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1ec ]. % 1.21/1.38 apply (zenon_L175_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H18f ]. % 1.21/1.38 apply (zenon_L246_); trivial. % 1.21/1.38 apply (zenon_L123_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H126 | zenon_intro zenon_H43 ]. % 1.21/1.38 exact (zenon_H125 zenon_H126). % 1.21/1.38 exact (zenon_H42 zenon_H43). % 1.21/1.38 exact (zenon_H142 zenon_H143). % 1.21/1.38 (* end of lemma zenon_L354_ *) % 1.21/1.38 assert (zenon_L355_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp12)) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (ndr1_0) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H12c zenon_H66 zenon_H229 zenon_H297 zenon_H298 zenon_H299 zenon_Hd7 zenon_Hd8 zenon_Hb1 zenon_Hf9 zenon_H174 zenon_H142 zenon_H1c8 zenon_H123 zenon_Ha zenon_Hca zenon_Hcb zenon_Hcc zenon_H1eb zenon_H125 zenon_H42 zenon_H128 zenon_H46 zenon_H48 zenon_Hf zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H40 zenon_H1b5. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.38 apply (zenon_L135_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.21/1.38 apply (zenon_L19_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_Hf. zenon_intro zenon_H63. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H11. zenon_intro zenon_H64. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H22a ]. % 1.21/1.38 apply (zenon_L353_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H10a | zenon_intro zenon_He0 ]. % 1.21/1.38 apply (zenon_L354_); trivial. % 1.21/1.38 apply (zenon_L351_); trivial. % 1.21/1.38 (* end of lemma zenon_L355_ *) % 1.21/1.38 assert (zenon_L356_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(hskp12)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H8b zenon_H6a zenon_H48 zenon_H40 zenon_H46 zenon_H54 zenon_H5f zenon_H62 zenon_H66. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.21/1.38 apply (zenon_L27_); trivial. % 1.21/1.38 (* end of lemma zenon_L356_ *) % 1.21/1.38 assert (zenon_L357_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H197 zenon_H1bf zenon_H159 zenon_H155 zenon_H222 zenon_H6a zenon_H66 zenon_H62 zenon_H5f zenon_H40 zenon_H48 zenon_Hd5 zenon_H12c zenon_H229 zenon_H297 zenon_H298 zenon_H299 zenon_Hb1 zenon_Hf9 zenon_H174 zenon_H142 zenon_H1c8 zenon_H123 zenon_H1eb zenon_H125 zenon_H42 zenon_H128 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H1b5 zenon_H54 zenon_H8e zenon_H198. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.21/1.38 apply (zenon_L153_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.38 apply (zenon_L355_); trivial. % 1.21/1.38 apply (zenon_L356_); trivial. % 1.21/1.38 apply (zenon_L337_); trivial. % 1.21/1.38 (* end of lemma zenon_L357_ *) % 1.21/1.38 assert (zenon_L358_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a592))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H8b zenon_H30 zenon_H1a3 zenon_H1eb zenon_H176 zenon_H177 zenon_H178 zenon_H1e7 zenon_H83 zenon_H1ac zenon_H1a5 zenon_H142 zenon_H1c8. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.21/1.38 apply (zenon_L200_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hf. zenon_intro zenon_H33. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H1f. zenon_intro zenon_H34. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1c9 ]. % 1.21/1.38 apply (zenon_L116_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H143 ]. % 1.21/1.38 apply (zenon_L176_); trivial. % 1.21/1.38 exact (zenon_H142 zenon_H143). % 1.21/1.38 (* end of lemma zenon_L358_ *) % 1.21/1.38 assert (zenon_L359_ : ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2)))))) -> (~(c1_1 (a603))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (ndr1_0) -> (~(hskp1)) -> False). % 1.21/1.38 do 0 intro. intros zenon_Hf9 zenon_Hd8 zenon_Hd7 zenon_H1c5 zenon_He4 zenon_H6e zenon_H6d zenon_H6c zenon_Hf zenon_Hb1. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H9d | zenon_intro zenon_Hfa ]. % 1.21/1.38 apply (zenon_L194_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6b | zenon_intro zenon_Hb2 ]. % 1.21/1.38 apply (zenon_L28_); trivial. % 1.21/1.38 exact (zenon_Hb1 zenon_Hb2). % 1.21/1.38 (* end of lemma zenon_L359_ *) % 1.21/1.38 assert (zenon_L360_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (~(hskp1)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp2)) -> False). % 1.21/1.38 do 0 intro. intros zenon_H194 zenon_H1c8 zenon_H178 zenon_H177 zenon_H176 zenon_Hb1 zenon_H6c zenon_H6d zenon_H6e zenon_Hf9 zenon_H142. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1c9 ]. % 1.21/1.38 apply (zenon_L116_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H143 ]. % 1.21/1.38 apply (zenon_L359_); trivial. % 1.21/1.38 exact (zenon_H142 zenon_H143). % 1.21/1.38 (* end of lemma zenon_L360_ *) % 1.21/1.38 assert (zenon_L361_ : ((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp8)) -> (~(hskp6)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp8)\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H1bc zenon_H198 zenon_H1c8 zenon_H142 zenon_Hb1 zenon_Hf9 zenon_H178 zenon_H177 zenon_H176 zenon_Hd5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H40 zenon_H42 zenon_H44 zenon_H6a. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.21/1.38 apply (zenon_L54_); trivial. % 1.21/1.38 apply (zenon_L360_); trivial. % 1.21/1.38 (* end of lemma zenon_L361_ *) % 1.21/1.38 assert (zenon_L362_ : ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp8)\/(hskp6))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp10))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> ((hskp26)\/(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> (ndr1_0) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H1a0 zenon_H44 zenon_H106 zenon_H255 zenon_H8a zenon_H85 zenon_H77 zenon_H217 zenon_H19b zenon_H159 zenon_H155 zenon_H222 zenon_H6a zenon_H62 zenon_Hd5 zenon_H123 zenon_H125 zenon_H42 zenon_H128 zenon_H54 zenon_H8e zenon_H198 zenon_H1e1 zenon_Hc1 zenon_H48 zenon_H1b5 zenon_H40 zenon_H5 zenon_H1c8 zenon_H142 zenon_H1e7 zenon_H174 zenon_H1eb zenon_Hf9 zenon_Hb1 zenon_H229 zenon_H30 zenon_H66 zenon_H12c zenon_Hf zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H297 zenon_H298 zenon_H299 zenon_H2ad zenon_H1ba zenon_H1c zenon_Hc0 zenon_H1bf zenon_H31 zenon_H209. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.21/1.38 apply (zenon_L349_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.38 apply (zenon_L135_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.21/1.38 apply (zenon_L3_); trivial. % 1.21/1.38 apply (zenon_L352_); trivial. % 1.21/1.38 apply (zenon_L162_); trivial. % 1.21/1.38 apply (zenon_L140_); trivial. % 1.21/1.38 apply (zenon_L357_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.21/1.38 apply (zenon_L106_); trivial. % 1.21/1.38 apply (zenon_L357_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.21/1.38 apply (zenon_L338_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.21/1.38 apply (zenon_L261_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.21/1.38 apply (zenon_L54_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.38 apply (zenon_L355_); trivial. % 1.21/1.38 apply (zenon_L358_); trivial. % 1.21/1.38 apply (zenon_L210_); trivial. % 1.21/1.38 apply (zenon_L361_); trivial. % 1.21/1.38 (* end of lemma zenon_L362_ *) % 1.21/1.38 assert (zenon_L363_ : ((ndr1_0)/\((c1_1 (a593))/\((c3_1 (a593))/\(~(c2_1 (a593)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H19f zenon_H198 zenon_H8e zenon_H15c zenon_H15a zenon_H18d zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H297 zenon_H298 zenon_H299 zenon_H2ad. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.21/1.38 apply (zenon_L349_); trivial. % 1.21/1.38 apply (zenon_L125_); trivial. % 1.21/1.38 (* end of lemma zenon_L363_ *) % 1.21/1.38 assert (zenon_L364_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H1bf zenon_Hf9 zenon_Hb1 zenon_H299 zenon_H298 zenon_H297 zenon_H48 zenon_H40 zenon_H174 zenon_H22c zenon_H22b zenon_H142 zenon_H8 zenon_H144 zenon_H66. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.21/1.38 apply (zenon_L222_); trivial. % 1.21/1.38 apply (zenon_L322_); trivial. % 1.21/1.38 (* end of lemma zenon_L364_ *) % 1.21/1.38 assert (zenon_L365_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(hskp1)) -> (ndr1_0) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp16)) -> False). % 1.21/1.38 do 0 intro. intros zenon_H107 zenon_H237 zenon_H22c zenon_H22b zenon_Hb1 zenon_Hf zenon_Hd7 zenon_Hd8 zenon_H297 zenon_H298 zenon_H299 zenon_Hf9 zenon_Hfb. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hec | zenon_intro zenon_H109 ]. % 1.21/1.38 apply (zenon_L226_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_He0 | zenon_intro zenon_Hfc ]. % 1.21/1.38 apply (zenon_L351_); trivial. % 1.21/1.38 exact (zenon_Hfb zenon_Hfc). % 1.21/1.38 (* end of lemma zenon_L365_ *) % 1.21/1.38 assert (zenon_L366_ : (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16))))) -> (ndr1_0) -> (forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37)))))) -> (~(c2_1 (a606))) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> False). % 1.21/1.38 do 0 intro. intros zenon_Hf5 zenon_Hf zenon_H269 zenon_H12e zenon_H130 zenon_H12f. % 1.21/1.38 generalize (zenon_Hf5 (a606)). zenon_intro zenon_H2af. % 1.21/1.38 apply (zenon_imply_s _ _ zenon_H2af); [ zenon_intro zenon_He | zenon_intro zenon_H2b0 ]. % 1.21/1.38 exact (zenon_He zenon_Hf). % 1.21/1.38 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_H26a | zenon_intro zenon_H2b1 ]. % 1.21/1.38 apply (zenon_L252_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H134 | zenon_intro zenon_H136 ]. % 1.21/1.38 exact (zenon_H12e zenon_H134). % 1.21/1.38 exact (zenon_H12f zenon_H136). % 1.21/1.38 (* end of lemma zenon_L366_ *) % 1.21/1.38 assert (zenon_L367_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16))))) -> (~(hskp27)) -> False). % 1.21/1.38 do 0 intro. intros zenon_H285 zenon_H114 zenon_H10c zenon_H10b zenon_H12f zenon_H130 zenon_H12e zenon_Hf zenon_Hf5 zenon_H75. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_Heb | zenon_intro zenon_H286 ]. % 1.21/1.38 apply (zenon_L136_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H269 | zenon_intro zenon_H76 ]. % 1.21/1.38 apply (zenon_L366_); trivial. % 1.21/1.38 exact (zenon_H75 zenon_H76). % 1.21/1.38 (* end of lemma zenon_L367_ *) % 1.21/1.38 assert (zenon_L368_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp27)) -> (~(c2_1 (a606))) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> False). % 1.21/1.38 do 0 intro. intros zenon_H104 zenon_H75 zenon_H12e zenon_H130 zenon_H12f zenon_H10b zenon_H10c zenon_H114 zenon_H285 zenon_H237 zenon_H22c zenon_H22b zenon_Hf zenon_Hca zenon_Hcb zenon_Hcc. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H105 ]. % 1.21/1.38 apply (zenon_L367_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hec | zenon_intro zenon_Hc9 ]. % 1.21/1.38 apply (zenon_L226_); trivial. % 1.21/1.38 apply (zenon_L51_); trivial. % 1.21/1.38 (* end of lemma zenon_L368_ *) % 1.21/1.38 assert (zenon_L369_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H127 zenon_H8a zenon_H85 zenon_H83 zenon_H160 zenon_H15f zenon_H15e zenon_H285 zenon_H12f zenon_H130 zenon_H12e zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.21/1.38 apply (zenon_L368_); trivial. % 1.21/1.38 apply (zenon_L113_); trivial. % 1.21/1.38 (* end of lemma zenon_L369_ *) % 1.21/1.38 assert (zenon_L370_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H137 zenon_H12c zenon_H8a zenon_H85 zenon_H83 zenon_H160 zenon_H15f zenon_H15e zenon_H285 zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H40 zenon_H1b5. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.38 apply (zenon_L135_); trivial. % 1.21/1.38 apply (zenon_L369_); trivial. % 1.21/1.38 (* end of lemma zenon_L370_ *) % 1.21/1.38 assert (zenon_L371_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> (~(hskp8)) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((hskp26)\/(hskp11)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H1bf zenon_H40 zenon_H48 zenon_Hd5 zenon_H13b zenon_H12c zenon_H8a zenon_H85 zenon_H285 zenon_H104 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H1b5 zenon_H22b zenon_H22c zenon_H237 zenon_Hf9 zenon_Hb1 zenon_H299 zenon_H298 zenon_H297 zenon_H107 zenon_H174 zenon_Hc1 zenon_H1e1 zenon_H198 zenon_H31 zenon_H5 zenon_H5f zenon_H62 zenon_H66 zenon_H6a. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.21/1.38 apply (zenon_L106_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.21/1.38 apply (zenon_L153_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.21/1.38 apply (zenon_L365_); trivial. % 1.21/1.38 apply (zenon_L370_); trivial. % 1.21/1.38 apply (zenon_L162_); trivial. % 1.21/1.38 apply (zenon_L322_); trivial. % 1.21/1.38 (* end of lemma zenon_L371_ *) % 1.21/1.38 assert (zenon_L372_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((hskp26)\/(hskp11)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp28)\/(hskp8))) -> (~(hskp8)) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H209 zenon_H19b zenon_Hd5 zenon_H13b zenon_H12c zenon_H8a zenon_H85 zenon_H285 zenon_H104 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H1b5 zenon_H22b zenon_H22c zenon_H237 zenon_H107 zenon_H174 zenon_Hc1 zenon_H1e1 zenon_H198 zenon_H31 zenon_H5 zenon_H5f zenon_H62 zenon_H6a zenon_H66 zenon_Hc0 zenon_H1c zenon_H297 zenon_H298 zenon_H299 zenon_Haf zenon_H40 zenon_H48 zenon_Hb1 zenon_Hf9 zenon_H1bf. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.21/1.38 apply (zenon_L323_); trivial. % 1.21/1.38 apply (zenon_L371_); trivial. % 1.21/1.38 (* end of lemma zenon_L372_ *) % 1.21/1.38 assert (zenon_L373_ : ((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> (~(hskp8)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((hskp26)\/(hskp11)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp10))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H19c zenon_H209 zenon_H19b zenon_H22b zenon_H22c zenon_H237 zenon_H104 zenon_H6a zenon_H66 zenon_H40 zenon_H255 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H174 zenon_H5 zenon_H31 zenon_H8a zenon_H85 zenon_H77 zenon_Hb1 zenon_Hc1 zenon_H1e1 zenon_H1bf zenon_H217 zenon_H299 zenon_H298 zenon_H297 zenon_H142 zenon_H1c8. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.21/1.38 apply (zenon_L338_); trivial. % 1.21/1.38 apply (zenon_L262_); trivial. % 1.21/1.38 (* end of lemma zenon_L373_ *) % 1.21/1.38 assert (zenon_L374_ : ((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/((hskp15)\/(hskp25))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H154 zenon_H1e0 zenon_H144 zenon_H8 zenon_H142 zenon_Hca zenon_Hcb zenon_Hcc zenon_H155 zenon_H276 zenon_H277 zenon_H278 zenon_H83 zenon_H283. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_Hf. zenon_intro zenon_H156. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14d. zenon_intro zenon_H157. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ]. % 1.21/1.38 apply (zenon_L268_); trivial. % 1.21/1.38 apply (zenon_L334_); trivial. % 1.21/1.38 (* end of lemma zenon_L374_ *) % 1.21/1.38 assert (zenon_L375_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c1_1 (a603))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (~(hskp16)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (c3_1 (a604)) -> (~(c0_1 (a604))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (ndr1_0) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> ((hskp29)\/((hskp7)\/(hskp17))) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H8e zenon_H159 zenon_H102 zenon_He4 zenon_Hca zenon_Hcb zenon_Hcc zenon_H107 zenon_Hfb zenon_Hd8 zenon_Hd7 zenon_H92 zenon_H90 zenon_H155 zenon_Hf zenon_H297 zenon_H298 zenon_H299 zenon_H42 zenon_H222 zenon_Hc zenon_H8 zenon_H123 zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H142 zenon_H144 zenon_H30 zenon_H12c. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.38 apply (zenon_L330_); trivial. % 1.21/1.38 apply (zenon_L271_); trivial. % 1.21/1.38 apply (zenon_L274_); trivial. % 1.21/1.38 (* end of lemma zenon_L375_ *) % 1.21/1.38 assert (zenon_L376_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/((hskp15)\/(hskp25))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((hskp29)\/((hskp7)\/(hskp17))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp8)\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H197 zenon_H1bf zenon_H6a zenon_H66 zenon_H62 zenon_H5f zenon_H40 zenon_H48 zenon_Hd5 zenon_H159 zenon_H1e0 zenon_H144 zenon_H8 zenon_H142 zenon_H155 zenon_H276 zenon_H277 zenon_H278 zenon_H283 zenon_H297 zenon_H298 zenon_H299 zenon_H42 zenon_H222 zenon_H8e zenon_H102 zenon_H107 zenon_Hc zenon_H123 zenon_H274 zenon_H30 zenon_H12c zenon_H138 zenon_H13b zenon_H1e1 zenon_H198. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.21/1.38 apply (zenon_L153_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H146 | zenon_intro zenon_H154 ]. % 1.21/1.38 apply (zenon_L324_); trivial. % 1.21/1.38 apply (zenon_L374_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.21/1.38 apply (zenon_L375_); trivial. % 1.21/1.38 apply (zenon_L84_); trivial. % 1.21/1.38 apply (zenon_L337_); trivial. % 1.21/1.38 (* end of lemma zenon_L376_ *) % 1.21/1.38 assert (zenon_L377_ : ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp8)\/(hskp6))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/((hskp0)\/(hskp11))) -> (~(hskp0)) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (ndr1_0) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp8)\/(hskp6))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((hskp29)\/((hskp7)\/(hskp17))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/((hskp15)\/(hskp25))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H1a0 zenon_H106 zenon_H1c8 zenon_H44 zenon_H281 zenon_H27f zenon_H278 zenon_H277 zenon_H276 zenon_Hf zenon_H198 zenon_H1e1 zenon_H13b zenon_H138 zenon_H12c zenon_H30 zenon_H274 zenon_H123 zenon_Hc zenon_H107 zenon_H102 zenon_H8e zenon_H222 zenon_H42 zenon_H299 zenon_H298 zenon_H297 zenon_H283 zenon_H155 zenon_H142 zenon_H8 zenon_H144 zenon_H1e0 zenon_H159 zenon_Hd5 zenon_H48 zenon_H40 zenon_H62 zenon_H66 zenon_H6a zenon_H1bf zenon_H19b. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.21/1.38 apply (zenon_L267_); trivial. % 1.21/1.38 apply (zenon_L376_); trivial. % 1.21/1.38 apply (zenon_L292_); trivial. % 1.21/1.38 (* end of lemma zenon_L377_ *) % 1.21/1.38 assert (zenon_L378_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H197 zenon_H8e zenon_H144 zenon_H8 zenon_H142 zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H184 zenon_H185 zenon_H186 zenon_H15a zenon_H18d. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.38 apply (zenon_L120_); trivial. % 1.21/1.38 apply (zenon_L274_); trivial. % 1.21/1.38 (* end of lemma zenon_L378_ *) % 1.21/1.38 assert (zenon_L379_ : ((ndr1_0)/\((c1_1 (a593))/\((c3_1 (a593))/\(~(c2_1 (a593)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp15)\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp10))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((hskp26)\/(hskp11)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp3))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H19f zenon_H1a0 zenon_H209 zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H220 zenon_H2ab zenon_H106 zenon_H1e1 zenon_H217 zenon_H299 zenon_H298 zenon_H297 zenon_H1c8 zenon_H8e zenon_H6a zenon_H5 zenon_H54 zenon_H62 zenon_H66 zenon_H15a zenon_H18d zenon_H144 zenon_H8 zenon_H142 zenon_H192 zenon_H15c zenon_H198 zenon_H19b. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.21/1.38 apply (zenon_L127_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.21/1.38 apply (zenon_L338_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.21/1.38 apply (zenon_L347_); trivial. % 1.21/1.38 apply (zenon_L378_); trivial. % 1.21/1.38 (* end of lemma zenon_L379_ *) % 1.21/1.38 assert (zenon_L380_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H1e2 zenon_H1bf zenon_Hf9 zenon_H299 zenon_H298 zenon_H297 zenon_H12c zenon_H8a zenon_H85 zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H40 zenon_H1b5 zenon_H48 zenon_H174 zenon_Hb1 zenon_Hc1 zenon_H66 zenon_H1e1. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.21/1.38 apply (zenon_L286_); trivial. % 1.21/1.38 apply (zenon_L322_); trivial. % 1.21/1.38 (* end of lemma zenon_L380_ *) % 1.21/1.38 assert (zenon_L381_ : ((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp10))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H19c zenon_H209 zenon_H1e1 zenon_H106 zenon_H1b5 zenon_H40 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H85 zenon_H8a zenon_H12c zenon_H217 zenon_H299 zenon_H298 zenon_H297 zenon_H142 zenon_H1c8. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.21/1.38 apply (zenon_L338_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.21/1.38 apply (zenon_L285_); trivial. % 1.21/1.38 apply (zenon_L346_); trivial. % 1.21/1.38 (* end of lemma zenon_L381_ *) % 1.21/1.38 assert (zenon_L382_ : ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((hskp26)\/(hskp11)) -> (~(hskp11)) -> ((hskp29)\/((hskp7)\/(hskp17))) -> (~(hskp17)) -> (~(hskp7)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H6a zenon_H62 zenon_H5f zenon_H5 zenon_H3 zenon_Hc zenon_Ha zenon_H8 zenon_H1c zenon_H1a zenon_H31 zenon_H30 zenon_H66. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.21/1.38 apply (zenon_L3_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_Hf. zenon_intro zenon_H63. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H11. zenon_intro zenon_H64. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.21/1.38 apply (zenon_L13_); trivial. % 1.21/1.38 apply (zenon_L105_); trivial. % 1.21/1.38 (* end of lemma zenon_L382_ *) % 1.21/1.38 assert (zenon_L383_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp8)\/(hskp6))) -> (~(hskp6)) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(hskp12)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H8b zenon_H6a zenon_H44 zenon_H42 zenon_H48 zenon_H40 zenon_H46 zenon_H54 zenon_H5f zenon_H62 zenon_H66. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.21/1.38 apply (zenon_L24_); trivial. % 1.21/1.38 apply (zenon_L36_); trivial. % 1.21/1.38 (* end of lemma zenon_L383_ *) % 1.21/1.38 assert (zenon_L384_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp8)\/(hskp6))) -> (~(hskp6)) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(hskp12)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp7)) -> ((hskp29)\/((hskp7)\/(hskp17))) -> (~(hskp11)) -> ((hskp26)\/(hskp11)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H8e zenon_H44 zenon_H42 zenon_H48 zenon_H40 zenon_H46 zenon_H54 zenon_H66 zenon_H30 zenon_H31 zenon_H1a zenon_H1c zenon_H8 zenon_Hc zenon_H3 zenon_H5 zenon_H5f zenon_H62 zenon_H6a. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.38 apply (zenon_L382_); trivial. % 1.21/1.38 apply (zenon_L383_); trivial. % 1.21/1.38 (* end of lemma zenon_L384_ *) % 1.21/1.38 assert (zenon_L385_ : (forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32)))))) -> (ndr1_0) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> False). % 1.21/1.38 do 0 intro. intros zenon_H11f zenon_Hf zenon_H2b2 zenon_H2b3 zenon_H2b4. % 1.21/1.38 generalize (zenon_H11f (a587)). zenon_intro zenon_H2b5. % 1.21/1.38 apply (zenon_imply_s _ _ zenon_H2b5); [ zenon_intro zenon_He | zenon_intro zenon_H2b6 ]. % 1.21/1.38 exact (zenon_He zenon_Hf). % 1.21/1.38 apply (zenon_or_s _ _ zenon_H2b6); [ zenon_intro zenon_H2b8 | zenon_intro zenon_H2b7 ]. % 1.21/1.38 exact (zenon_H2b2 zenon_H2b8). % 1.21/1.38 apply (zenon_or_s _ _ zenon_H2b7); [ zenon_intro zenon_H2ba | zenon_intro zenon_H2b9 ]. % 1.21/1.38 exact (zenon_H2ba zenon_H2b3). % 1.21/1.38 exact (zenon_H2b9 zenon_H2b4). % 1.21/1.38 (* end of lemma zenon_L385_ *) % 1.21/1.38 assert (zenon_L386_ : ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (~(c3_1 (a623))) -> (~(c2_1 (a623))) -> (~(c1_1 (a623))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (ndr1_0) -> (~(hskp26)) -> False). % 1.21/1.38 do 0 intro. intros zenon_H140 zenon_Ha8 zenon_H9f zenon_H9e zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Hf zenon_H1. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H13d | zenon_intro zenon_H141 ]. % 1.21/1.38 apply (zenon_L88_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11f | zenon_intro zenon_H2 ]. % 1.21/1.38 apply (zenon_L385_); trivial. % 1.21/1.38 exact (zenon_H1 zenon_H2). % 1.21/1.38 (* end of lemma zenon_L386_ *) % 1.21/1.38 assert (zenon_L387_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (~(hskp4)) -> (~(hskp10)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (~(hskp7)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> False). % 1.21/1.38 do 0 intro. intros zenon_Hc6 zenon_Hbf zenon_H66 zenon_Hc0 zenon_H1c zenon_H1e5 zenon_H17f zenon_H1a zenon_H6c zenon_H6d zenon_H6e zenon_H1ba zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H8 zenon_H9b. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H99 | zenon_intro zenon_Hc2 ]. % 1.21/1.38 apply (zenon_L41_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hf. zenon_intro zenon_Hc3. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H9e. zenon_intro zenon_Hc4. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H9f. zenon_intro zenon_Ha8. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.21/1.38 apply (zenon_L386_); trivial. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_Hf. zenon_intro zenon_H63. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H11. zenon_intro zenon_H64. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_Heb | zenon_intro zenon_H1bb ]. % 1.21/1.38 apply (zenon_L303_); trivial. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H6b | zenon_intro zenon_Hae ]. % 1.21/1.38 apply (zenon_L28_); trivial. % 1.21/1.38 exact (zenon_Had zenon_Hae). % 1.21/1.38 apply (zenon_L48_); trivial. % 1.21/1.38 (* end of lemma zenon_L387_ *) % 1.21/1.38 assert (zenon_L388_ : ((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_Hc2 zenon_H6a zenon_H265 zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H54 zenon_H4d zenon_H4c zenon_H4b zenon_H5f zenon_H62 zenon_H66. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hf. zenon_intro zenon_Hc3. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H9e. zenon_intro zenon_Hc4. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H9f. zenon_intro zenon_Ha8. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.21/1.38 apply (zenon_L386_); trivial. % 1.21/1.38 apply (zenon_L23_); trivial. % 1.21/1.38 apply (zenon_L237_); trivial. % 1.21/1.38 (* end of lemma zenon_L388_ *) % 1.21/1.38 assert (zenon_L389_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (~(hskp7)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H8b zenon_Hbf zenon_H6a zenon_H265 zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H54 zenon_H5f zenon_H62 zenon_H66 zenon_H90 zenon_H91 zenon_H92 zenon_H8 zenon_H9b. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H99 | zenon_intro zenon_Hc2 ]. % 1.21/1.38 apply (zenon_L41_); trivial. % 1.21/1.38 apply (zenon_L388_); trivial. % 1.21/1.38 (* end of lemma zenon_L389_ *) % 1.21/1.38 assert (zenon_L390_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp8)\/(hskp6))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp8)\/(hskp6))) -> (~(hskp6)) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> (~(hskp7)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c1_1 (a603))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_Hc6 zenon_H13b zenon_H138 zenon_H12c zenon_H128 zenon_H125 zenon_H44 zenon_H42 zenon_H40 zenon_H123 zenon_H9b zenon_H8 zenon_H102 zenon_He4 zenon_Hf9 zenon_Hb1 zenon_Hd8 zenon_Hd7 zenon_H107 zenon_H104 zenon_Hcc zenon_Hcb zenon_Hca zenon_H106 zenon_Hbf zenon_H66 zenon_H62 zenon_H5f zenon_H54 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H265 zenon_H6a zenon_H8e. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.38 apply (zenon_L82_); trivial. % 1.21/1.38 apply (zenon_L389_); trivial. % 1.21/1.38 apply (zenon_L84_); trivial. % 1.21/1.38 (* end of lemma zenon_L390_ *) % 1.21/1.38 assert (zenon_L391_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp22)) -> (~(hskp17)) -> ((hskp29)\/((hskp22)\/(hskp17))) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> (~(hskp8)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (ndr1_0) -> (~(c1_1 (a623))) -> (~(c2_1 (a623))) -> (~(c3_1 (a623))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H66 zenon_H8a zenon_H30 zenon_H85 zenon_H83 zenon_H1a zenon_H1c zenon_H146 zenon_Ha zenon_H148 zenon_H6c zenon_H6d zenon_H6e zenon_H40 zenon_H77 zenon_Hf zenon_H9e zenon_H9f zenon_Ha8 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.21/1.38 apply (zenon_L386_); trivial. % 1.21/1.38 apply (zenon_L95_); trivial. % 1.21/1.38 (* end of lemma zenon_L391_ *) % 1.21/1.38 assert (zenon_L392_ : ((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> ((hskp29)\/((hskp22)\/(hskp17))) -> (~(hskp17)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp15)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_Hc2 zenon_H159 zenon_H155 zenon_Hcc zenon_Hcb zenon_Hca zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H77 zenon_H40 zenon_H6e zenon_H6d zenon_H6c zenon_H148 zenon_Ha zenon_H1c zenon_H1a zenon_H83 zenon_H85 zenon_H30 zenon_H8a zenon_H66. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hf. zenon_intro zenon_Hc3. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H9e. zenon_intro zenon_Hc4. % 1.21/1.38 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H9f. zenon_intro zenon_Ha8. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H146 | zenon_intro zenon_H154 ]. % 1.21/1.38 apply (zenon_L391_); trivial. % 1.21/1.38 apply (zenon_L97_); trivial. % 1.21/1.38 (* end of lemma zenon_L392_ *) % 1.21/1.38 assert (zenon_L393_ : ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> ((hskp29)\/((hskp22)\/(hskp17))) -> (~(hskp17)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp15)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp7)\/(hskp20))) -> (~(hskp7)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (ndr1_0) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp8))) -> False). % 1.21/1.38 do 0 intro. intros zenon_Hbf zenon_H159 zenon_H155 zenon_Hcc zenon_Hcb zenon_Hca zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H77 zenon_H148 zenon_Ha zenon_H1c zenon_H1a zenon_H83 zenon_H85 zenon_H30 zenon_H8a zenon_H66 zenon_H13c zenon_H8 zenon_Hd8 zenon_Hd7 zenon_Hf zenon_H6c zenon_H6d zenon_H6e zenon_H40 zenon_He9. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H99 | zenon_intro zenon_Hc2 ]. % 1.21/1.38 apply (zenon_L87_); trivial. % 1.21/1.38 apply (zenon_L392_); trivial. % 1.21/1.38 (* end of lemma zenon_L393_ *) % 1.21/1.38 assert (zenon_L394_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp7)\/(hskp20))) -> (~(hskp7)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp8))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H8b zenon_Hbf zenon_H6a zenon_H265 zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H54 zenon_H5f zenon_H62 zenon_H66 zenon_H13c zenon_H8 zenon_Hd8 zenon_Hd7 zenon_H6c zenon_H6d zenon_H6e zenon_H40 zenon_He9. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.21/1.38 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H99 | zenon_intro zenon_Hc2 ]. % 1.21/1.38 apply (zenon_L87_); trivial. % 1.21/1.38 apply (zenon_L388_); trivial. % 1.21/1.38 (* end of lemma zenon_L394_ *) % 1.21/1.38 assert (zenon_L395_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (ndr1_0) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> (~(hskp7)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp7)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((hskp29)\/((hskp22)\/(hskp17))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H8e zenon_H6a zenon_H265 zenon_H54 zenon_H5f zenon_H62 zenon_He9 zenon_H40 zenon_H6e zenon_H6d zenon_H6c zenon_Hf zenon_Hd7 zenon_Hd8 zenon_H8 zenon_H13c zenon_H66 zenon_H8a zenon_H30 zenon_H85 zenon_H83 zenon_H1a zenon_H1c zenon_H148 zenon_H77 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_Hca zenon_Hcb zenon_Hcc zenon_H155 zenon_H159 zenon_Hbf. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.38 apply (zenon_L393_); trivial. % 1.21/1.38 apply (zenon_L394_); trivial. % 1.21/1.38 (* end of lemma zenon_L395_ *) % 1.21/1.38 assert (zenon_L396_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (~(hskp4)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> ((hskp29)\/((hskp22)\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp7)\/(hskp20))) -> (~(hskp7)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp8))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H194 zenon_H1e1 zenon_Hc0 zenon_H1e5 zenon_H17f zenon_H1ba zenon_H9b zenon_Hbf zenon_H159 zenon_H155 zenon_Hcc zenon_Hcb zenon_Hca zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H77 zenon_H148 zenon_H1c zenon_H1a zenon_H85 zenon_H30 zenon_H8a zenon_H66 zenon_H13c zenon_H8 zenon_H6c zenon_H6d zenon_H6e zenon_H40 zenon_He9 zenon_H62 zenon_H5f zenon_H54 zenon_H265 zenon_H6a zenon_H8e. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.21/1.38 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.21/1.38 apply (zenon_L395_); trivial. % 1.21/1.38 apply (zenon_L387_); trivial. % 1.21/1.38 (* end of lemma zenon_L396_ *) % 1.21/1.38 assert (zenon_L397_ : ((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp8)\/(hskp6))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp28)\/(hskp8))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> (~(hskp8)) -> (~(hskp6)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp8)\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp4)\/(hskp14))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> False). % 1.21/1.38 do 0 intro. intros zenon_H19c zenon_H209 zenon_H19b zenon_H1bf zenon_Hb1 zenon_Hf9 zenon_Hd5 zenon_H13b zenon_H138 zenon_H222 zenon_Haf zenon_H174 zenon_H107 zenon_H85 zenon_H155 zenon_Hc0 zenon_H159 zenon_H106 zenon_H1e1 zenon_H31 zenon_H40 zenon_H42 zenon_H44 zenon_H6a zenon_H1c8 zenon_H142 zenon_H17f zenon_H212 zenon_H217 zenon_H198. % 1.21/1.38 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.21/1.39 apply (zenon_L195_); trivial. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.21/1.39 apply (zenon_L339_); trivial. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.21/1.39 apply (zenon_L341_); trivial. % 1.21/1.39 apply (zenon_L361_); trivial. % 1.21/1.39 (* end of lemma zenon_L397_ *) % 1.21/1.39 assert (zenon_L398_ : (forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53)))))) -> (ndr1_0) -> (~(c2_1 (a593))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> False). % 1.21/1.39 do 0 intro. intros zenon_H56 zenon_Hf zenon_H184 zenon_H10a zenon_H185 zenon_H186. % 1.21/1.39 generalize (zenon_H56 (a593)). zenon_intro zenon_H219. % 1.21/1.39 apply (zenon_imply_s _ _ zenon_H219); [ zenon_intro zenon_He | zenon_intro zenon_H21a ]. % 1.21/1.39 exact (zenon_He zenon_Hf). % 1.21/1.39 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H18a | zenon_intro zenon_H21b ]. % 1.21/1.39 exact (zenon_H184 zenon_H18a). % 1.21/1.39 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H21c | zenon_intro zenon_H18b ]. % 1.21/1.39 generalize (zenon_H10a (a593)). zenon_intro zenon_H226. % 1.21/1.39 apply (zenon_imply_s _ _ zenon_H226); [ zenon_intro zenon_He | zenon_intro zenon_H227 ]. % 1.21/1.39 exact (zenon_He zenon_Hf). % 1.21/1.39 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H21f | zenon_intro zenon_H228 ]. % 1.21/1.39 exact (zenon_H21c zenon_H21f). % 1.21/1.39 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H18a | zenon_intro zenon_H18c ]. % 1.21/1.39 exact (zenon_H184 zenon_H18a). % 1.21/1.39 exact (zenon_H18c zenon_H185). % 1.21/1.39 exact (zenon_H18b zenon_H186). % 1.21/1.39 (* end of lemma zenon_L398_ *) % 1.21/1.39 assert (zenon_L399_ : ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (~(c2_1 (a593))) -> (ndr1_0) -> (~(hskp5)) -> (~(hskp24)) -> False). % 1.21/1.39 do 0 intro. intros zenon_H1f6 zenon_H186 zenon_H185 zenon_H10a zenon_H184 zenon_Hf zenon_H125 zenon_H1f4. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H56 | zenon_intro zenon_H1f7 ]. % 1.21/1.39 apply (zenon_L398_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H126 | zenon_intro zenon_H1f5 ]. % 1.21/1.39 exact (zenon_H125 zenon_H126). % 1.21/1.39 exact (zenon_H1f4 zenon_H1f5). % 1.21/1.39 (* end of lemma zenon_L399_ *) % 1.21/1.39 assert (zenon_L400_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp24)) -> (~(hskp5)) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (ndr1_0) -> (~(hskp17)) -> False). % 1.21/1.39 do 0 intro. intros zenon_H123 zenon_H1f4 zenon_H125 zenon_H184 zenon_H185 zenon_H186 zenon_H1f6 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Hf zenon_Ha. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10a | zenon_intro zenon_H124 ]. % 1.21/1.39 apply (zenon_L399_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H11f | zenon_intro zenon_Hb ]. % 1.21/1.39 apply (zenon_L385_); trivial. % 1.21/1.39 exact (zenon_Ha zenon_Hb). % 1.21/1.39 (* end of lemma zenon_L400_ *) % 1.21/1.39 assert (zenon_L401_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (ndr1_0) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H207 zenon_H289 zenon_H17f zenon_H1f6 zenon_H125 zenon_H186 zenon_H185 zenon_H184 zenon_Hf zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_Ha zenon_H123. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H202 ]. % 1.21/1.39 apply (zenon_L400_); trivial. % 1.21/1.39 apply (zenon_L287_); trivial. % 1.21/1.39 (* end of lemma zenon_L401_ *) % 1.21/1.39 assert (zenon_L402_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((hskp26)\/(hskp11)) -> (~(hskp11)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (ndr1_0) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp4)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H8e zenon_H6a zenon_H5 zenon_H3 zenon_H54 zenon_H5f zenon_H62 zenon_H66 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Hf zenon_H184 zenon_H185 zenon_H186 zenon_H125 zenon_H1f6 zenon_H17f zenon_H289 zenon_H207. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.39 apply (zenon_L401_); trivial. % 1.21/1.39 apply (zenon_L121_); trivial. % 1.21/1.39 (* end of lemma zenon_L402_ *) % 1.21/1.39 assert (zenon_L403_ : (forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34)))))) -> (ndr1_0) -> (forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> False). % 1.21/1.39 do 0 intro. intros zenon_Heb zenon_Hf zenon_H79 zenon_H185 zenon_H186 zenon_H184. % 1.21/1.39 generalize (zenon_Heb (a593)). zenon_intro zenon_H2bb. % 1.21/1.39 apply (zenon_imply_s _ _ zenon_H2bb); [ zenon_intro zenon_He | zenon_intro zenon_H2bc ]. % 1.21/1.39 exact (zenon_He zenon_Hf). % 1.21/1.39 apply (zenon_or_s _ _ zenon_H2bc); [ zenon_intro zenon_H21f | zenon_intro zenon_H2bd ]. % 1.21/1.39 apply (zenon_L206_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_H18a | zenon_intro zenon_H18b ]. % 1.21/1.39 exact (zenon_H184 zenon_H18a). % 1.21/1.39 exact (zenon_H18b zenon_H186). % 1.21/1.39 (* end of lemma zenon_L403_ *) % 1.21/1.39 assert (zenon_L404_ : ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (ndr1_0) -> (forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34)))))) -> (~(hskp19)) -> (~(hskp20)) -> False). % 1.21/1.39 do 0 intro. intros zenon_H2be zenon_H184 zenon_H186 zenon_H185 zenon_Hf zenon_Heb zenon_H23e zenon_H99. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H79 | zenon_intro zenon_H2bf ]. % 1.21/1.39 apply (zenon_L403_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H23f | zenon_intro zenon_H9a ]. % 1.21/1.39 exact (zenon_H23e zenon_H23f). % 1.21/1.39 exact (zenon_H99 zenon_H9a). % 1.21/1.39 (* end of lemma zenon_L404_ *) % 1.21/1.39 assert (zenon_L405_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(hskp20)) -> (~(hskp19)) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (ndr1_0) -> (~(hskp18)) -> False). % 1.21/1.39 do 0 intro. intros zenon_H102 zenon_H99 zenon_H23e zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_Hd8 zenon_Hd7 zenon_He4 zenon_Hf zenon_H100. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Heb | zenon_intro zenon_H103 ]. % 1.21/1.39 apply (zenon_L404_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hfd | zenon_intro zenon_H101 ]. % 1.21/1.39 apply (zenon_L68_); trivial. % 1.21/1.39 exact (zenon_H100 zenon_H101). % 1.21/1.39 (* end of lemma zenon_L405_ *) % 1.21/1.39 assert (zenon_L406_ : ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp10)) -> (c0_1 (a678)) -> (c3_1 (a678)) -> (c2_1 (a678)) -> (c0_1 (a583)) -> (c1_1 (a583)) -> (c2_1 (a583)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (ndr1_0) -> (forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34)))))) -> (~(hskp15)) -> False). % 1.21/1.39 do 0 intro. intros zenon_H85 zenon_H1a zenon_H1f zenon_H1e zenon_H1d zenon_H11 zenon_H12 zenon_H13 zenon_H1c zenon_H184 zenon_H186 zenon_H185 zenon_Hf zenon_Heb zenon_H83. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H20 | zenon_intro zenon_H86 ]. % 1.21/1.39 apply (zenon_L11_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H86); [ zenon_intro zenon_H79 | zenon_intro zenon_H84 ]. % 1.21/1.39 apply (zenon_L403_); trivial. % 1.21/1.39 exact (zenon_H83 zenon_H84). % 1.21/1.39 (* end of lemma zenon_L406_ *) % 1.21/1.39 assert (zenon_L407_ : ((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(hskp15)) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (c2_1 (a583)) -> (c1_1 (a583)) -> (c0_1 (a583)) -> (~(hskp10)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (~(hskp18)) -> False). % 1.21/1.39 do 0 intro. intros zenon_H32 zenon_H102 zenon_H83 zenon_H185 zenon_H186 zenon_H184 zenon_H1c zenon_H13 zenon_H12 zenon_H11 zenon_H1a zenon_H85 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H100. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hf. zenon_intro zenon_H33. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H1f. zenon_intro zenon_H34. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Heb | zenon_intro zenon_H103 ]. % 1.21/1.39 apply (zenon_L406_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hfd | zenon_intro zenon_H101 ]. % 1.21/1.39 apply (zenon_L68_); trivial. % 1.21/1.39 exact (zenon_H100 zenon_H101). % 1.21/1.39 (* end of lemma zenon_L407_ *) % 1.21/1.39 assert (zenon_L408_ : ((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> (~(hskp15)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp7)) -> (~(hskp17)) -> ((hskp29)\/((hskp7)\/(hskp17))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H61 zenon_H30 zenon_H102 zenon_H100 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H1c zenon_H1a zenon_H185 zenon_H186 zenon_H184 zenon_H83 zenon_H85 zenon_H8 zenon_Ha zenon_Hc. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_Hf. zenon_intro zenon_H63. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H11. zenon_intro zenon_H64. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.21/1.39 apply (zenon_L7_); trivial. % 1.21/1.39 apply (zenon_L407_); trivial. % 1.21/1.39 (* end of lemma zenon_L408_ *) % 1.21/1.39 assert (zenon_L409_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (c2_1 (a617)) -> (~(c1_1 (a617))) -> (~(c0_1 (a617))) -> (ndr1_0) -> (~(hskp5)) -> (~(hskp6)) -> False). % 1.21/1.39 do 0 intro. intros zenon_H128 zenon_H248 zenon_H247 zenon_H246 zenon_Hf zenon_H125 zenon_H42. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H119 | zenon_intro zenon_H12b ]. % 1.21/1.39 apply (zenon_L227_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H126 | zenon_intro zenon_H43 ]. % 1.21/1.39 exact (zenon_H125 zenon_H126). % 1.21/1.39 exact (zenon_H42 zenon_H43). % 1.21/1.39 (* end of lemma zenon_L409_ *) % 1.21/1.39 assert (zenon_L410_ : ((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp5)) -> (~(hskp6)) -> False). % 1.21/1.39 do 0 intro. intros zenon_H251 zenon_H128 zenon_H125 zenon_H42. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_Hf. zenon_intro zenon_H252. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H248. zenon_intro zenon_H253. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H246. zenon_intro zenon_H247. % 1.21/1.39 apply (zenon_L409_); trivial. % 1.21/1.39 (* end of lemma zenon_L410_ *) % 1.21/1.39 assert (zenon_L411_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp23)) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (c1_1 (a648)) -> (c0_1 (a648)) -> (~(c3_1 (a648))) -> (ndr1_0) -> (~(hskp16)) -> False). % 1.21/1.39 do 0 intro. intros zenon_H203 zenon_H2e zenon_H184 zenon_H185 zenon_H186 zenon_H10a zenon_H10b zenon_H10c zenon_H114 zenon_H54 zenon_H1fb zenon_H1fa zenon_H1f9 zenon_Hf zenon_Hfb. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H8f | zenon_intro zenon_H206 ]. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H4a | zenon_intro zenon_H55 ]. % 1.21/1.39 apply (zenon_L246_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H56 | zenon_intro zenon_H2f ]. % 1.21/1.39 apply (zenon_L196_); trivial. % 1.21/1.39 exact (zenon_H2e zenon_H2f). % 1.21/1.39 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1f8 | zenon_intro zenon_Hfc ]. % 1.21/1.39 apply (zenon_L182_); trivial. % 1.21/1.39 exact (zenon_Hfb zenon_Hfc). % 1.21/1.39 (* end of lemma zenon_L411_ *) % 1.21/1.39 assert (zenon_L412_ : ((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp16)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (~(hskp23)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(hskp17)) -> False). % 1.21/1.39 do 0 intro. intros zenon_H202 zenon_H123 zenon_Hfb zenon_H54 zenon_H114 zenon_H10c zenon_H10b zenon_H186 zenon_H185 zenon_H184 zenon_H2e zenon_H203 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Ha. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_Hf. zenon_intro zenon_H204. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1fa. zenon_intro zenon_H205. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1fb. zenon_intro zenon_H1f9. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10a | zenon_intro zenon_H124 ]. % 1.21/1.39 apply (zenon_L411_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H11f | zenon_intro zenon_Hb ]. % 1.21/1.39 apply (zenon_L385_); trivial. % 1.21/1.39 exact (zenon_Ha zenon_Hb). % 1.21/1.39 (* end of lemma zenon_L412_ *) % 1.21/1.39 assert (zenon_L413_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (~(hskp16)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (ndr1_0) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H207 zenon_H54 zenon_H2e zenon_H114 zenon_H10c zenon_H10b zenon_Hfb zenon_H203 zenon_H1f6 zenon_H125 zenon_H186 zenon_H185 zenon_H184 zenon_Hf zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_Ha zenon_H123. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H202 ]. % 1.21/1.39 apply (zenon_L400_); trivial. % 1.21/1.39 apply (zenon_L412_); trivial. % 1.21/1.39 (* end of lemma zenon_L413_ *) % 1.21/1.39 assert (zenon_L414_ : ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp26)\/(hskp28))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (~(c2_1 (a593))) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp28)) -> False). % 1.21/1.39 do 0 intro. intros zenon_H2c0 zenon_H186 zenon_H185 zenon_H8f zenon_H184 zenon_Hf zenon_H1 zenon_Had. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H2c0); [ zenon_intro zenon_H56 | zenon_intro zenon_H2c1 ]. % 1.21/1.39 apply (zenon_L196_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H2 | zenon_intro zenon_Hae ]. % 1.21/1.39 exact (zenon_H1 zenon_H2). % 1.21/1.39 exact (zenon_Had zenon_Hae). % 1.21/1.39 (* end of lemma zenon_L414_ *) % 1.21/1.39 assert (zenon_L415_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> (~(hskp28)) -> (~(hskp26)) -> (ndr1_0) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp26)\/(hskp28))) -> (~(hskp7)) -> (~(hskp20)) -> False). % 1.21/1.39 do 0 intro. intros zenon_H9b zenon_Had zenon_H1 zenon_Hf zenon_H184 zenon_H185 zenon_H186 zenon_H2c0 zenon_H8 zenon_H99. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H8f | zenon_intro zenon_H9c ]. % 1.21/1.39 apply (zenon_L414_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H9 | zenon_intro zenon_H9a ]. % 1.21/1.39 exact (zenon_H8 zenon_H9). % 1.21/1.39 exact (zenon_H99 zenon_H9a). % 1.21/1.39 (* end of lemma zenon_L415_ *) % 1.21/1.39 assert (zenon_L416_ : ((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> (~(hskp20)) -> (~(hskp7)) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp26)\/(hskp28))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp7)\/(hskp20))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H67 zenon_H66 zenon_H9b zenon_H99 zenon_H8 zenon_H184 zenon_H185 zenon_H186 zenon_H2c0 zenon_H107 zenon_Hfb zenon_Hd7 zenon_Hd8 zenon_H13c zenon_H5f zenon_H62 zenon_Hc0. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Hf. zenon_intro zenon_H68. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H39. zenon_intro zenon_H69. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H37. zenon_intro zenon_H38. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.21/1.39 apply (zenon_L415_); trivial. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H36 | zenon_intro zenon_H65 ]. % 1.21/1.39 apply (zenon_L14_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H10 | zenon_intro zenon_H60 ]. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hec | zenon_intro zenon_H109 ]. % 1.21/1.39 apply (zenon_L109_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_He0 | zenon_intro zenon_Hfc ]. % 1.21/1.39 apply (zenon_L86_); trivial. % 1.21/1.39 exact (zenon_Hfb zenon_Hfc). % 1.21/1.39 exact (zenon_H5f zenon_H60). % 1.21/1.39 apply (zenon_L25_); trivial. % 1.21/1.39 (* end of lemma zenon_L416_ *) % 1.21/1.39 assert (zenon_L417_ : ((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> False). % 1.21/1.39 do 0 intro. intros zenon_Hc2 zenon_H6a zenon_H66 zenon_H62 zenon_H5f zenon_H265 zenon_H123 zenon_Ha zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H184 zenon_H185 zenon_H186 zenon_H125 zenon_H1f6 zenon_H203 zenon_Hfb zenon_H10b zenon_H10c zenon_H114 zenon_H54 zenon_H207. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hf. zenon_intro zenon_Hc3. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H9e. zenon_intro zenon_Hc4. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H9f. zenon_intro zenon_Ha8. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.21/1.39 apply (zenon_L413_); trivial. % 1.21/1.39 apply (zenon_L237_); trivial. % 1.21/1.39 (* end of lemma zenon_L417_ *) % 1.21/1.39 assert (zenon_L418_ : (forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))) -> (ndr1_0) -> (~(c1_1 (a603))) -> (forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2)))))) -> (~(c3_1 (a603))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H13d zenon_Hf zenon_He4 zenon_H1c5 zenon_Hd7. % 1.21/1.39 generalize (zenon_H13d (a603)). zenon_intro zenon_H2c2. % 1.21/1.39 apply (zenon_imply_s _ _ zenon_H2c2); [ zenon_intro zenon_He | zenon_intro zenon_H2c3 ]. % 1.21/1.39 exact (zenon_He zenon_Hf). % 1.21/1.39 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_He8 | zenon_intro zenon_H2c4 ]. % 1.21/1.39 exact (zenon_He4 zenon_He8). % 1.21/1.39 apply (zenon_or_s _ _ zenon_H2c4); [ zenon_intro zenon_Hd9 | zenon_intro zenon_Hdd ]. % 1.21/1.39 apply (zenon_L193_); trivial. % 1.21/1.39 exact (zenon_Hd7 zenon_Hdd). % 1.21/1.39 (* end of lemma zenon_L418_ *) % 1.21/1.39 assert (zenon_L419_ : ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (~(c3_1 (a603))) -> (forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2)))))) -> (~(c1_1 (a603))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (ndr1_0) -> (~(hskp26)) -> False). % 1.21/1.39 do 0 intro. intros zenon_H140 zenon_Hd7 zenon_H1c5 zenon_He4 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Hf zenon_H1. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H13d | zenon_intro zenon_H141 ]. % 1.21/1.39 apply (zenon_L418_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11f | zenon_intro zenon_H2 ]. % 1.21/1.39 apply (zenon_L385_); trivial. % 1.21/1.39 exact (zenon_H1 zenon_H2). % 1.21/1.39 (* end of lemma zenon_L419_ *) % 1.21/1.39 assert (zenon_L420_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(hskp24)) -> (~(hskp5)) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp26)) -> (ndr1_0) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (~(hskp16)) -> False). % 1.21/1.39 do 0 intro. intros zenon_H287 zenon_H1f4 zenon_H125 zenon_H184 zenon_H185 zenon_H186 zenon_H1f6 zenon_H1 zenon_Hf zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_He4 zenon_Hd7 zenon_H140 zenon_Hfb. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H10a | zenon_intro zenon_H288 ]. % 1.21/1.39 apply (zenon_L399_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H1c5 | zenon_intro zenon_Hfc ]. % 1.21/1.39 apply (zenon_L419_); trivial. % 1.21/1.39 exact (zenon_Hfb zenon_Hfc). % 1.21/1.39 (* end of lemma zenon_L420_ *) % 1.21/1.39 assert (zenon_L421_ : ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z)))))) -> (~(c2_1 (a593))) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.21/1.39 do 0 intro. intros zenon_H54 zenon_H4d zenon_H4c zenon_H4b zenon_H186 zenon_H185 zenon_H8f zenon_H184 zenon_Hf zenon_H2e. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H4a | zenon_intro zenon_H55 ]. % 1.21/1.39 apply (zenon_L20_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H56 | zenon_intro zenon_H2f ]. % 1.21/1.39 apply (zenon_L196_); trivial. % 1.21/1.39 exact (zenon_H2e zenon_H2f). % 1.21/1.39 (* end of lemma zenon_L421_ *) % 1.21/1.39 assert (zenon_L422_ : ((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp23)) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp16)) -> False). % 1.21/1.39 do 0 intro. intros zenon_H202 zenon_H203 zenon_H2e zenon_H184 zenon_H185 zenon_H186 zenon_H4b zenon_H4c zenon_H4d zenon_H54 zenon_Hfb. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_Hf. zenon_intro zenon_H204. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1fa. zenon_intro zenon_H205. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1fb. zenon_intro zenon_H1f9. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H8f | zenon_intro zenon_H206 ]. % 1.21/1.39 apply (zenon_L421_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1f8 | zenon_intro zenon_Hfc ]. % 1.21/1.39 apply (zenon_L182_); trivial. % 1.21/1.39 exact (zenon_Hfb zenon_Hfc). % 1.21/1.39 (* end of lemma zenon_L422_ *) % 1.21/1.39 assert (zenon_L423_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (ndr1_0) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H207 zenon_H203 zenon_H287 zenon_Hfb zenon_He4 zenon_Hd7 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_Hf zenon_H184 zenon_H185 zenon_H186 zenon_H125 zenon_H1f6 zenon_H54 zenon_H2e zenon_H4d zenon_H4c zenon_H4b zenon_H5f zenon_H62 zenon_H66. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H202 ]. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.21/1.39 apply (zenon_L420_); trivial. % 1.21/1.39 apply (zenon_L23_); trivial. % 1.21/1.39 apply (zenon_L422_); trivial. % 1.21/1.39 (* end of lemma zenon_L423_ *) % 1.21/1.39 assert (zenon_L424_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp7)\/(hskp20))) -> (c0_1 (a603)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp26)\/(hskp28))) -> (~(hskp7)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H8b zenon_Hbf zenon_H265 zenon_H207 zenon_H203 zenon_H287 zenon_Hfb zenon_He4 zenon_Hd7 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H184 zenon_H185 zenon_H186 zenon_H125 zenon_H1f6 zenon_H54 zenon_H5f zenon_H62 zenon_H66 zenon_Hc0 zenon_H13c zenon_Hd8 zenon_H107 zenon_H2c0 zenon_H8 zenon_H9b zenon_H6a. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H99 | zenon_intro zenon_Hc2 ]. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.21/1.39 apply (zenon_L423_); trivial. % 1.21/1.39 apply (zenon_L416_); trivial. % 1.21/1.39 apply (zenon_L388_); trivial. % 1.21/1.39 (* end of lemma zenon_L424_ *) % 1.21/1.39 assert (zenon_L425_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (ndr1_0) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((hskp29)\/((hskp7)\/(hskp17))) -> (~(hskp7)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp26)\/(hskp28))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp7)\/(hskp20))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H8e zenon_H287 zenon_H254 zenon_H128 zenon_H42 zenon_H125 zenon_H102 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_Hf zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Hc zenon_H8 zenon_H85 zenon_H83 zenon_H1a zenon_H1c zenon_H30 zenon_H66 zenon_Hbf zenon_H6a zenon_H9b zenon_H2c0 zenon_H107 zenon_H13c zenon_H5f zenon_H62 zenon_Hc0 zenon_H123 zenon_H1f6 zenon_H203 zenon_Hfb zenon_H54 zenon_H207 zenon_H265 zenon_H12c. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H23e | zenon_intro zenon_H251 ]. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H99 | zenon_intro zenon_Hc2 ]. % 1.21/1.39 apply (zenon_L405_); trivial. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hf. zenon_intro zenon_Hc3. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H9e. zenon_intro zenon_Hc4. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H9f. zenon_intro zenon_Ha8. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.21/1.39 apply (zenon_L386_); trivial. % 1.21/1.39 apply (zenon_L408_); trivial. % 1.21/1.39 apply (zenon_L410_); trivial. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H99 | zenon_intro zenon_Hc2 ]. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.21/1.39 apply (zenon_L413_); trivial. % 1.21/1.39 apply (zenon_L416_); trivial. % 1.21/1.39 apply (zenon_L417_); trivial. % 1.21/1.39 apply (zenon_L424_); trivial. % 1.21/1.39 (* end of lemma zenon_L425_ *) % 1.21/1.39 assert (zenon_L426_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp10)) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> (~(hskp23)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp26)\/(hskp28))) -> (~(hskp26)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (ndr1_0) -> (~(hskp7)) -> (~(hskp20)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> False). % 1.21/1.39 do 0 intro. intros zenon_Hc0 zenon_H62 zenon_H5f zenon_H1a zenon_H17f zenon_H1e5 zenon_H4b zenon_H4c zenon_H4d zenon_H2e zenon_H54 zenon_H2c0 zenon_H1 zenon_H186 zenon_H185 zenon_H184 zenon_Hf zenon_H8 zenon_H99 zenon_H9b. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.21/1.39 apply (zenon_L415_); trivial. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H36 | zenon_intro zenon_H65 ]. % 1.21/1.39 apply (zenon_L21_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H10 | zenon_intro zenon_H60 ]. % 1.21/1.39 apply (zenon_L165_); trivial. % 1.21/1.39 exact (zenon_H5f zenon_H60). % 1.21/1.39 (* end of lemma zenon_L426_ *) % 1.21/1.39 assert (zenon_L427_ : ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16))))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> False). % 1.21/1.39 do 0 intro. intros zenon_H274 zenon_H4d zenon_H4c zenon_H4b zenon_H12f zenon_H130 zenon_H12e zenon_Hf5 zenon_Hf zenon_H119 zenon_Hca zenon_Hcb zenon_Hcc. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H4a | zenon_intro zenon_H275 ]. % 1.21/1.39 apply (zenon_L20_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H269 | zenon_intro zenon_H18f ]. % 1.21/1.39 apply (zenon_L366_); trivial. % 1.21/1.39 apply (zenon_L123_); trivial. % 1.21/1.39 (* end of lemma zenon_L427_ *) % 1.21/1.39 assert (zenon_L428_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c2_1 (a606))) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp9)) -> (c2_1 (a612)) -> (c3_1 (a612)) -> (c1_1 (a612)) -> (~(c0_1 (a636))) -> (~(c1_1 (a636))) -> (c3_1 (a636)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> False). % 1.21/1.39 do 0 intro. intros zenon_H104 zenon_H119 zenon_H12e zenon_H130 zenon_H12f zenon_H4b zenon_H4c zenon_H4d zenon_H274 zenon_H5f zenon_Hb4 zenon_Hb5 zenon_Hb3 zenon_H37 zenon_H38 zenon_H39 zenon_H62 zenon_Hf zenon_Hca zenon_Hcb zenon_Hcc. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H105 ]. % 1.21/1.39 apply (zenon_L427_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hec | zenon_intro zenon_Hc9 ]. % 1.21/1.39 apply (zenon_L297_); trivial. % 1.21/1.39 apply (zenon_L51_); trivial. % 1.21/1.39 (* end of lemma zenon_L428_ *) % 1.21/1.39 assert (zenon_L429_ : ((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (c3_1 (a636)) -> (~(c1_1 (a636))) -> (~(c0_1 (a636))) -> (~(hskp9)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp5)) -> (~(hskp6)) -> False). % 1.21/1.39 do 0 intro. intros zenon_Hbc zenon_H128 zenon_Hcc zenon_Hcb zenon_Hca zenon_H62 zenon_H39 zenon_H38 zenon_H37 zenon_H5f zenon_H274 zenon_H4d zenon_H4c zenon_H4b zenon_H12f zenon_H130 zenon_H12e zenon_H104 zenon_H125 zenon_H42. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H119 | zenon_intro zenon_H12b ]. % 1.21/1.39 apply (zenon_L428_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H126 | zenon_intro zenon_H43 ]. % 1.21/1.39 exact (zenon_H125 zenon_H126). % 1.21/1.39 exact (zenon_H42 zenon_H43). % 1.21/1.39 (* end of lemma zenon_L429_ *) % 1.21/1.39 assert (zenon_L430_ : ((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> (~(hskp20)) -> (~(hskp7)) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp26)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> (~(c2_1 (a606))) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H67 zenon_H66 zenon_H9b zenon_H99 zenon_H8 zenon_H184 zenon_H185 zenon_H186 zenon_H2c0 zenon_H104 zenon_H5f zenon_H62 zenon_H4b zenon_H4c zenon_H4d zenon_H12e zenon_H130 zenon_H12f zenon_Hca zenon_Hcb zenon_Hcc zenon_H274 zenon_H125 zenon_H42 zenon_H128 zenon_Hc0. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Hf. zenon_intro zenon_H68. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H39. zenon_intro zenon_H69. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H37. zenon_intro zenon_H38. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.21/1.39 apply (zenon_L415_); trivial. % 1.21/1.39 apply (zenon_L429_); trivial. % 1.21/1.39 apply (zenon_L25_); trivial. % 1.21/1.39 (* end of lemma zenon_L430_ *) % 1.21/1.39 assert (zenon_L431_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> (~(hskp7)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp4)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> False). % 1.21/1.39 do 0 intro. intros zenon_Hc6 zenon_H8e zenon_Hbf zenon_H6a zenon_H265 zenon_H140 zenon_H54 zenon_H5f zenon_H62 zenon_H66 zenon_H8 zenon_H9b zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H184 zenon_H185 zenon_H186 zenon_H125 zenon_H1f6 zenon_H17f zenon_H289 zenon_H207. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.39 apply (zenon_L401_); trivial. % 1.21/1.39 apply (zenon_L389_); trivial. % 1.21/1.39 (* end of lemma zenon_L431_ *) % 1.21/1.39 assert (zenon_L432_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp15)) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (ndr1_0) -> (~(hskp17)) -> False). % 1.21/1.39 do 0 intro. intros zenon_H123 zenon_H83 zenon_H185 zenon_H186 zenon_H184 zenon_H15e zenon_H15f zenon_H160 zenon_H85 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Hf zenon_Ha. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10a | zenon_intro zenon_H124 ]. % 1.21/1.39 apply (zenon_L208_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H11f | zenon_intro zenon_Hb ]. % 1.21/1.39 apply (zenon_L385_); trivial. % 1.21/1.39 exact (zenon_Ha zenon_Hb). % 1.21/1.39 (* end of lemma zenon_L432_ *) % 1.21/1.39 assert (zenon_L433_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp7)\/(hskp20))) -> (c0_1 (a603)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp26)\/(hskp28))) -> (~(hskp7)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (ndr1_0) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H8e zenon_Hbf zenon_H265 zenon_H207 zenon_H203 zenon_H287 zenon_Hfb zenon_He4 zenon_Hd7 zenon_H140 zenon_H125 zenon_H1f6 zenon_H54 zenon_H5f zenon_H62 zenon_H66 zenon_Hc0 zenon_H13c zenon_Hd8 zenon_H107 zenon_H2c0 zenon_H8 zenon_H9b zenon_H6a zenon_H85 zenon_H83 zenon_H184 zenon_H186 zenon_H185 zenon_H160 zenon_H15f zenon_H15e zenon_Hf zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.39 apply (zenon_L432_); trivial. % 1.21/1.39 apply (zenon_L424_); trivial. % 1.21/1.39 (* end of lemma zenon_L433_ *) % 1.21/1.39 assert (zenon_L434_ : ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (ndr1_0) -> (~(hskp23)) -> False). % 1.21/1.39 do 0 intro. intros zenon_H274 zenon_H12f zenon_H130 zenon_H12e zenon_Hf5 zenon_H54 zenon_H4d zenon_H4c zenon_H4b zenon_H160 zenon_H15f zenon_Hf zenon_H2e. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H4a | zenon_intro zenon_H275 ]. % 1.21/1.39 apply (zenon_L20_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H269 | zenon_intro zenon_H18f ]. % 1.21/1.39 apply (zenon_L366_); trivial. % 1.21/1.39 apply (zenon_L315_); trivial. % 1.21/1.39 (* end of lemma zenon_L434_ *) % 1.21/1.39 assert (zenon_L435_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> (~(hskp7)) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp26)\/(hskp28))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c2_1 (a606))) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> (c3_1 (a598)) -> (c0_1 (a598)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H8b zenon_Hbf zenon_H265 zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H66 zenon_H9b zenon_H8 zenon_H184 zenon_H185 zenon_H186 zenon_H2c0 zenon_H54 zenon_H104 zenon_Hcc zenon_Hcb zenon_Hca zenon_H12e zenon_H130 zenon_H12f zenon_H160 zenon_H15f zenon_H274 zenon_H5f zenon_H62 zenon_Hc0 zenon_H128 zenon_H42 zenon_H125 zenon_H6a. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H99 | zenon_intro zenon_Hc2 ]. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.21/1.39 apply (zenon_L415_); trivial. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H36 | zenon_intro zenon_H65 ]. % 1.21/1.39 apply (zenon_L21_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H10 | zenon_intro zenon_H60 ]. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H105 ]. % 1.21/1.39 apply (zenon_L434_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hec | zenon_intro zenon_Hc9 ]. % 1.21/1.39 apply (zenon_L109_); trivial. % 1.21/1.39 apply (zenon_L51_); trivial. % 1.21/1.39 exact (zenon_H5f zenon_H60). % 1.21/1.39 apply (zenon_L23_); trivial. % 1.21/1.39 apply (zenon_L430_); trivial. % 1.21/1.39 apply (zenon_L388_); trivial. % 1.21/1.39 (* end of lemma zenon_L435_ *) % 1.21/1.39 assert (zenon_L436_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c0_1 (a595))) -> (~(hskp11)) -> (~(hskp15)) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp15)\/(hskp11))) -> (ndr1_0) -> (~(c1_1 (a603))) -> (forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2)))))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> False). % 1.21/1.39 do 0 intro. intros zenon_H106 zenon_H178 zenon_H177 zenon_H119 zenon_H176 zenon_H3 zenon_H83 zenon_H184 zenon_H185 zenon_H186 zenon_H220 zenon_Hf zenon_He4 zenon_H1c5 zenon_Hd7 zenon_Hd8. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H108 ]. % 1.21/1.39 apply (zenon_L343_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H8f | zenon_intro zenon_H9d ]. % 1.21/1.39 apply (zenon_L197_); trivial. % 1.21/1.39 apply (zenon_L194_); trivial. % 1.21/1.39 (* end of lemma zenon_L436_ *) % 1.21/1.39 assert (zenon_L437_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp15)\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (ndr1_0) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp4)\/(hskp14))) -> (~(hskp4)) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H198 zenon_H1e1 zenon_H128 zenon_H42 zenon_H125 zenon_H220 zenon_H3 zenon_H186 zenon_H185 zenon_H184 zenon_H106 zenon_Hf zenon_H176 zenon_H177 zenon_H178 zenon_H212 zenon_H17f zenon_H142 zenon_H1c8. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.21/1.39 apply (zenon_L192_); trivial. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1c9 ]. % 1.21/1.39 apply (zenon_L116_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H143 ]. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H119 | zenon_intro zenon_H12b ]. % 1.21/1.39 apply (zenon_L436_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H126 | zenon_intro zenon_H43 ]. % 1.21/1.39 exact (zenon_H125 zenon_H126). % 1.21/1.39 exact (zenon_H42 zenon_H43). % 1.21/1.39 exact (zenon_H142 zenon_H143). % 1.21/1.39 apply (zenon_L210_); trivial. % 1.21/1.39 (* end of lemma zenon_L437_ *) % 1.21/1.39 assert (zenon_L438_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H197 zenon_H198 zenon_H1e1 zenon_H106 zenon_H1c8 zenon_H42 zenon_H222 zenon_H178 zenon_H177 zenon_H176 zenon_H85 zenon_H160 zenon_H15f zenon_H15e zenon_H155 zenon_H229 zenon_H159 zenon_H192 zenon_H186 zenon_H185 zenon_H184 zenon_H142 zenon_H8 zenon_H144. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.21/1.39 apply (zenon_L124_); trivial. % 1.21/1.39 apply (zenon_L211_); trivial. % 1.21/1.39 (* end of lemma zenon_L438_ *) % 1.21/1.39 assert (zenon_L439_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9)))))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (ndr1_0) -> (~(hskp17)) -> False). % 1.21/1.39 do 0 intro. intros zenon_H123 zenon_H114 zenon_H10c zenon_H10b zenon_H36 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Hf zenon_Ha. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10a | zenon_intro zenon_H124 ]. % 1.21/1.39 apply (zenon_L75_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H11f | zenon_intro zenon_Hb ]. % 1.21/1.39 apply (zenon_L385_); trivial. % 1.21/1.39 exact (zenon_Ha zenon_Hb). % 1.21/1.39 (* end of lemma zenon_L439_ *) % 1.21/1.39 assert (zenon_L440_ : ((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp8)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(hskp17)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> (~(hskp2)) -> False). % 1.21/1.39 do 0 intro. intros zenon_H61 zenon_H1c8 zenon_H46 zenon_H174 zenon_H40 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H123 zenon_H114 zenon_H10c zenon_H10b zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Ha zenon_H255 zenon_H142. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_Hf. zenon_intro zenon_H63. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H11. zenon_intro zenon_H64. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1c9 ]. % 1.21/1.39 apply (zenon_L132_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H143 ]. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H36 | zenon_intro zenon_H256 ]. % 1.21/1.39 apply (zenon_L439_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H167 | zenon_intro zenon_H41 ]. % 1.21/1.39 apply (zenon_L175_); trivial. % 1.21/1.39 exact (zenon_H40 zenon_H41). % 1.21/1.39 exact (zenon_H142 zenon_H143). % 1.21/1.39 (* end of lemma zenon_L440_ *) % 1.21/1.39 assert (zenon_L441_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp11)) -> ((hskp26)\/(hskp11)) -> (ndr1_0) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H1bf zenon_Hc0 zenon_H1c zenon_H1a zenon_H1ba zenon_H12c zenon_H66 zenon_H1c8 zenon_H142 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H255 zenon_H174 zenon_H3 zenon_H5 zenon_Hf zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H40 zenon_H1b5 zenon_H62 zenon_H5f zenon_H54 zenon_H6a zenon_H8e. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.39 apply (zenon_L135_); trivial. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.21/1.39 apply (zenon_L3_); trivial. % 1.21/1.39 apply (zenon_L440_); trivial. % 1.21/1.39 apply (zenon_L121_); trivial. % 1.21/1.39 apply (zenon_L140_); trivial. % 1.21/1.39 (* end of lemma zenon_L441_ *) % 1.21/1.39 assert (zenon_L442_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (ndr1_0) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp4)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H8e zenon_H30 zenon_H1eb zenon_H1e7 zenon_H83 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_H142 zenon_H1c8 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Hf zenon_H184 zenon_H185 zenon_H186 zenon_H125 zenon_H1f6 zenon_H17f zenon_H289 zenon_H207. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.39 apply (zenon_L401_); trivial. % 1.21/1.39 apply (zenon_L178_); trivial. % 1.21/1.39 (* end of lemma zenon_L442_ *) % 1.21/1.39 assert (zenon_L443_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (ndr1_0) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H207 zenon_H203 zenon_Hfb zenon_H92 zenon_H91 zenon_H90 zenon_H1f6 zenon_H125 zenon_H186 zenon_H185 zenon_H184 zenon_Hf zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_Ha zenon_H123. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H202 ]. % 1.21/1.39 apply (zenon_L400_); trivial. % 1.21/1.39 apply (zenon_L183_); trivial. % 1.21/1.39 (* end of lemma zenon_L443_ *) % 1.21/1.39 assert (zenon_L444_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (ndr1_0) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> (~(c0_1 (a592))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp5)) -> (~(hskp6)) -> False). % 1.21/1.39 do 0 intro. intros zenon_H128 zenon_Hcc zenon_Hcb zenon_Hca zenon_Hf zenon_H4b zenon_H4c zenon_H4d zenon_H1a3 zenon_Ha7 zenon_H1a5 zenon_H1ac zenon_H1eb zenon_H125 zenon_H42. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H119 | zenon_intro zenon_H12b ]. % 1.21/1.39 apply (zenon_L305_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H126 | zenon_intro zenon_H43 ]. % 1.21/1.39 exact (zenon_H125 zenon_H126). % 1.21/1.39 exact (zenon_H42 zenon_H43). % 1.21/1.39 (* end of lemma zenon_L444_ *) % 1.21/1.39 assert (zenon_L445_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp6)) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (~(hskp1)) -> False). % 1.21/1.39 do 0 intro. intros zenon_H8b zenon_Hc1 zenon_H42 zenon_H125 zenon_H1eb zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_Hca zenon_Hcb zenon_Hcc zenon_H128 zenon_H92 zenon_H91 zenon_H90 zenon_Hb1. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hc5 ]. % 1.21/1.39 apply (zenon_L444_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H8f | zenon_intro zenon_Hb2 ]. % 1.21/1.39 apply (zenon_L39_); trivial. % 1.21/1.39 exact (zenon_Hb1 zenon_Hb2). % 1.21/1.39 (* end of lemma zenon_L445_ *) % 1.21/1.39 assert (zenon_L446_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (ndr1_0) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (~(hskp16)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H8e zenon_Hc1 zenon_Hb1 zenon_H1eb zenon_Hcc zenon_Hcb zenon_Hca zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H42 zenon_H128 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Hf zenon_H184 zenon_H185 zenon_H186 zenon_H125 zenon_H1f6 zenon_H90 zenon_H91 zenon_H92 zenon_Hfb zenon_H203 zenon_H207. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.39 apply (zenon_L443_); trivial. % 1.21/1.39 apply (zenon_L445_); trivial. % 1.21/1.39 (* end of lemma zenon_L446_ *) % 1.21/1.39 assert (zenon_L447_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp28)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a651)) -> (~(c3_1 (a651))) -> (~(c1_1 (a651))) -> (ndr1_0) -> (~(hskp2)) -> False). % 1.21/1.39 do 0 intro. intros zenon_H1c8 zenon_Had zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_Hca zenon_Hcb zenon_Hcc zenon_H1c3 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_Hf zenon_H142. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1c9 ]. % 1.21/1.39 apply (zenon_L143_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H143 ]. % 1.21/1.39 apply (zenon_L157_); trivial. % 1.21/1.39 exact (zenon_H142 zenon_H143). % 1.21/1.39 (* end of lemma zenon_L447_ *) % 1.21/1.39 assert (zenon_L448_ : ((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(c2_1 (a606))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(hskp9)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H67 zenon_H1e0 zenon_Hc0 zenon_H128 zenon_H42 zenon_H125 zenon_H274 zenon_H4d zenon_H4c zenon_H4b zenon_H62 zenon_H104 zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H142 zenon_H1c8 zenon_H12e zenon_H12f zenon_H130 zenon_H5f zenon_H1d2. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Hf. zenon_intro zenon_H68. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H39. zenon_intro zenon_H69. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H37. zenon_intro zenon_H38. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ]. % 1.21/1.39 apply (zenon_L156_); trivial. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_Hf. zenon_intro zenon_H1de. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d6. zenon_intro zenon_H1df. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.21/1.39 apply (zenon_L447_); trivial. % 1.21/1.39 apply (zenon_L429_); trivial. % 1.21/1.39 (* end of lemma zenon_L448_ *) % 1.21/1.39 assert (zenon_L449_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(c2_1 (a606))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(hskp9)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H8b zenon_H6a zenon_H1e0 zenon_Hc0 zenon_H274 zenon_H62 zenon_H104 zenon_H1c3 zenon_H142 zenon_H1c8 zenon_H12e zenon_H12f zenon_H130 zenon_H5f zenon_H1d2 zenon_H128 zenon_H42 zenon_H125 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_Hca zenon_Hcb zenon_Hcc zenon_H1eb zenon_H54 zenon_H186 zenon_H185 zenon_H184 zenon_Hb1 zenon_Hc1. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hc5 ]. % 1.21/1.39 apply (zenon_L444_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H8f | zenon_intro zenon_Hb2 ]. % 1.21/1.39 apply (zenon_L421_); trivial. % 1.21/1.39 exact (zenon_Hb1 zenon_Hb2). % 1.21/1.39 apply (zenon_L448_); trivial. % 1.21/1.39 (* end of lemma zenon_L449_ *) % 1.21/1.39 assert (zenon_L450_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp9)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp4)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H137 zenon_H8e zenon_H6a zenon_H1e0 zenon_Hc0 zenon_H274 zenon_H62 zenon_H104 zenon_H1c3 zenon_H142 zenon_H1c8 zenon_H5f zenon_H1d2 zenon_H128 zenon_H42 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_Hca zenon_Hcb zenon_Hcc zenon_H1eb zenon_H54 zenon_Hb1 zenon_Hc1 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H184 zenon_H185 zenon_H186 zenon_H125 zenon_H1f6 zenon_H17f zenon_H289 zenon_H207. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.39 apply (zenon_L401_); trivial. % 1.21/1.39 apply (zenon_L449_); trivial. % 1.21/1.39 (* end of lemma zenon_L450_ *) % 1.21/1.39 assert (zenon_L451_ : ((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(hskp17)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H87 zenon_H24f zenon_H40 zenon_H123 zenon_H114 zenon_H10c zenon_H10b zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Ha zenon_H255 zenon_H237 zenon_H22c zenon_H22b. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H36 | zenon_intro zenon_H256 ]. % 1.21/1.39 apply (zenon_L439_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H167 | zenon_intro zenon_H41 ]. % 1.21/1.39 apply (zenon_L214_); trivial. % 1.21/1.39 exact (zenon_H40 zenon_H41). % 1.21/1.39 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.21/1.39 apply (zenon_L226_); trivial. % 1.21/1.39 apply (zenon_L31_); trivial. % 1.21/1.39 (* end of lemma zenon_L451_ *) % 1.21/1.39 assert (zenon_L452_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> (~(hskp8)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H127 zenon_H8a zenon_H24f zenon_H237 zenon_H123 zenon_Ha zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H22b zenon_H22c zenon_H255 zenon_H6c zenon_H6d zenon_H6e zenon_H40 zenon_H77. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.21/1.39 apply (zenon_L30_); trivial. % 1.21/1.39 apply (zenon_L451_); trivial. % 1.21/1.39 (* end of lemma zenon_L452_ *) % 1.21/1.39 assert (zenon_L453_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp7)\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(c1_1 (a603))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (ndr1_0) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (~(hskp7)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c3_1 (a590)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H8e zenon_H6a zenon_H265 zenon_H140 zenon_H54 zenon_H5f zenon_H62 zenon_H66 zenon_H13c zenon_He9 zenon_Hbf zenon_H106 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H107 zenon_Hfb zenon_Hd7 zenon_Hd8 zenon_Hb1 zenon_Hf9 zenon_He4 zenon_H102 zenon_Hf zenon_H90 zenon_H91 zenon_H92 zenon_H8 zenon_H9b zenon_H77 zenon_H40 zenon_H6e zenon_H6d zenon_H6c zenon_H255 zenon_H22c zenon_H22b zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H237 zenon_H24f zenon_H8a zenon_H12c. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.39 apply (zenon_L73_); trivial. % 1.21/1.39 apply (zenon_L452_); trivial. % 1.21/1.39 apply (zenon_L394_); trivial. % 1.21/1.39 (* end of lemma zenon_L453_ *) % 1.21/1.39 assert (zenon_L454_ : ((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp2)) -> (~(hskp7)) -> False). % 1.21/1.39 do 0 intro. intros zenon_H251 zenon_H144 zenon_H142 zenon_H8. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_Hf. zenon_intro zenon_H252. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H248. zenon_intro zenon_H253. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H246. zenon_intro zenon_H247. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H119 | zenon_intro zenon_H145 ]. % 1.21/1.39 apply (zenon_L227_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H143 | zenon_intro zenon_H9 ]. % 1.21/1.39 exact (zenon_H142 zenon_H143). % 1.21/1.39 exact (zenon_H8 zenon_H9). % 1.21/1.39 (* end of lemma zenon_L454_ *) % 1.21/1.39 assert (zenon_L455_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (ndr1_0) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (c3_1 (a604)) -> (~(c0_1 (a604))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H254 zenon_H144 zenon_H8 zenon_H142 zenon_H77 zenon_H40 zenon_H6e zenon_H6d zenon_H6c zenon_Hf zenon_H242 zenon_H240 zenon_H22c zenon_H22b zenon_H102 zenon_H100 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H92 zenon_H90 zenon_H24f zenon_H8a. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H23e | zenon_intro zenon_H251 ]. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.21/1.39 apply (zenon_L30_); trivial. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.21/1.39 apply (zenon_L225_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.21/1.39 apply (zenon_L70_); trivial. % 1.21/1.39 apply (zenon_L31_); trivial. % 1.21/1.39 apply (zenon_L454_); trivial. % 1.21/1.39 (* end of lemma zenon_L455_ *) % 1.21/1.39 assert (zenon_L456_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c2_1 (a606))) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(hskp27)) -> False). % 1.21/1.39 do 0 intro. intros zenon_H285 zenon_H114 zenon_H10c zenon_H10b zenon_H6e zenon_H6d zenon_H6c zenon_Hf zenon_Hca zenon_Hcb zenon_Hcc zenon_H12e zenon_H130 zenon_H12f zenon_H155 zenon_H75. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_Heb | zenon_intro zenon_H286 ]. % 1.21/1.39 apply (zenon_L136_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H269 | zenon_intro zenon_H76 ]. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14a | zenon_intro zenon_H158 ]. % 1.21/1.39 apply (zenon_L253_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H6b ]. % 1.21/1.39 apply (zenon_L51_); trivial. % 1.21/1.39 apply (zenon_L28_); trivial. % 1.21/1.39 exact (zenon_H75 zenon_H76). % 1.21/1.39 (* end of lemma zenon_L456_ *) % 1.21/1.39 assert (zenon_L457_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (~(hskp8)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H127 zenon_H8a zenon_H24f zenon_H237 zenon_H123 zenon_Ha zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H22b zenon_H22c zenon_H40 zenon_H255 zenon_H155 zenon_H6e zenon_H6d zenon_H6c zenon_Hcc zenon_Hcb zenon_Hca zenon_H12f zenon_H130 zenon_H12e zenon_H285. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.21/1.39 apply (zenon_L456_); trivial. % 1.21/1.39 apply (zenon_L451_); trivial. % 1.21/1.39 (* end of lemma zenon_L457_ *) % 1.21/1.39 assert (zenon_L458_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c1_1 (a601))) -> (~(c2_1 (a601))) -> (~(c0_1 (a601))) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (c3_1 (a604)) -> (~(c0_1 (a604))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (ndr1_0) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> (~(hskp8)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H8a zenon_H24f zenon_H1eb zenon_Hcc zenon_Hcb zenon_Hca zenon_H259 zenon_H258 zenon_H257 zenon_H22c zenon_H22b zenon_H102 zenon_H100 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H92 zenon_H90 zenon_H104 zenon_Hf zenon_H6c zenon_H6d zenon_H6e zenon_H40 zenon_H77. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.21/1.39 apply (zenon_L30_); trivial. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H105 ]. % 1.21/1.39 apply (zenon_L234_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hec | zenon_intro zenon_Hc9 ]. % 1.21/1.39 apply (zenon_L70_); trivial. % 1.21/1.39 apply (zenon_L51_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.21/1.39 apply (zenon_L70_); trivial. % 1.21/1.39 apply (zenon_L31_); trivial. % 1.21/1.39 (* end of lemma zenon_L458_ *) % 1.21/1.39 assert (zenon_L459_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp2)) -> (~(hskp7)) -> False). % 1.21/1.39 do 0 intro. intros zenon_H8b zenon_H144 zenon_Hcc zenon_Hcb zenon_Hca zenon_H22b zenon_H22c zenon_H237 zenon_H274 zenon_H12f zenon_H130 zenon_H12e zenon_H104 zenon_H142 zenon_H8. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H119 | zenon_intro zenon_H145 ]. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H105 ]. % 1.21/1.39 apply (zenon_L427_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hec | zenon_intro zenon_Hc9 ]. % 1.21/1.39 apply (zenon_L226_); trivial. % 1.21/1.39 apply (zenon_L51_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H143 | zenon_intro zenon_H9 ]. % 1.21/1.39 exact (zenon_H142 zenon_H143). % 1.21/1.39 exact (zenon_H8 zenon_H9). % 1.21/1.39 (* end of lemma zenon_L459_ *) % 1.21/1.39 assert (zenon_L460_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp2)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c1_1 (a601))) -> (~(c2_1 (a601))) -> (~(c0_1 (a601))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> (~(hskp8)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> (~(hskp7)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c1_1 (a603))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp8))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp7)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.21/1.39 do 0 intro. intros zenon_Hc6 zenon_H13b zenon_H144 zenon_H142 zenon_H274 zenon_H1eb zenon_H259 zenon_H258 zenon_H257 zenon_H285 zenon_H155 zenon_H12c zenon_H8a zenon_H24f zenon_H237 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H22b zenon_H22c zenon_H255 zenon_H6c zenon_H6d zenon_H6e zenon_H40 zenon_H77 zenon_H9b zenon_H8 zenon_H102 zenon_He4 zenon_Hf9 zenon_Hb1 zenon_Hd8 zenon_Hd7 zenon_H107 zenon_H104 zenon_Hcc zenon_Hcb zenon_Hca zenon_H106 zenon_Hbf zenon_He9 zenon_H13c zenon_H66 zenon_H62 zenon_H5f zenon_H54 zenon_H140 zenon_H265 zenon_H6a zenon_H8e. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.21/1.39 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.21/1.39 apply (zenon_L453_); trivial. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.39 apply (zenon_L458_); trivial. % 1.21/1.39 apply (zenon_L457_); trivial. % 1.21/1.39 apply (zenon_L459_); trivial. % 1.21/1.39 (* end of lemma zenon_L460_ *) % 1.21/1.39 assert (zenon_L461_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp7)\/(hskp20))) -> (c0_1 (a603)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp26)\/(hskp28))) -> (~(hskp7)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (ndr1_0) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp4)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H8e zenon_Hbf zenon_H265 zenon_H203 zenon_H287 zenon_Hfb zenon_He4 zenon_Hd7 zenon_H140 zenon_H54 zenon_H5f zenon_H62 zenon_H66 zenon_Hc0 zenon_H13c zenon_Hd8 zenon_H107 zenon_H2c0 zenon_H8 zenon_H9b zenon_H6a zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Hf zenon_H184 zenon_H185 zenon_H186 zenon_H125 zenon_H1f6 zenon_H17f zenon_H289 zenon_H207. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.39 apply (zenon_L401_); trivial. % 1.21/1.39 apply (zenon_L424_); trivial. % 1.21/1.39 (* end of lemma zenon_L461_ *) % 1.21/1.39 assert (zenon_L462_ : ((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c3_1 (a599)) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp17)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp26)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (~(hskp2)) -> False). % 1.21/1.39 do 0 intro. intros zenon_H87 zenon_H1c8 zenon_H22b zenon_H22c zenon_H237 zenon_H123 zenon_Hcc zenon_H10b zenon_H10c zenon_H114 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H1eb zenon_Hcb zenon_Hca zenon_Ha zenon_H24f zenon_H1 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_He4 zenon_Hd7 zenon_H140 zenon_H142. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1c9 ]. % 1.21/1.39 apply (zenon_L248_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H143 ]. % 1.21/1.39 apply (zenon_L419_); trivial. % 1.21/1.39 exact (zenon_H142 zenon_H143). % 1.21/1.39 (* end of lemma zenon_L462_ *) % 1.21/1.39 assert (zenon_L463_ : ((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H67 zenon_H207 zenon_H203 zenon_H92 zenon_H91 zenon_H90 zenon_H287 zenon_Hfb zenon_He4 zenon_Hd7 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H184 zenon_H185 zenon_H186 zenon_H125 zenon_H1f6 zenon_H5f zenon_H62 zenon_H66. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Hf. zenon_intro zenon_H68. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H39. zenon_intro zenon_H69. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H37. zenon_intro zenon_H38. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H202 ]. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.21/1.39 apply (zenon_L420_); trivial. % 1.21/1.39 apply (zenon_L25_); trivial. % 1.21/1.39 apply (zenon_L183_); trivial. % 1.21/1.39 (* end of lemma zenon_L463_ *) % 1.21/1.39 assert (zenon_L464_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp18)) -> (~(hskp29)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a651)) -> (~(c3_1 (a651))) -> (~(c1_1 (a651))) -> (ndr1_0) -> (~(hskp2)) -> False). % 1.21/1.39 do 0 intro. intros zenon_H1c8 zenon_H100 zenon_H6 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_Hf zenon_H142. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1c9 ]. % 1.21/1.39 apply (zenon_L293_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H143 ]. % 1.21/1.39 apply (zenon_L157_); trivial. % 1.21/1.39 exact (zenon_H142 zenon_H143). % 1.21/1.39 (* end of lemma zenon_L464_ *) % 1.21/1.39 assert (zenon_L465_ : ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16))))) -> (ndr1_0) -> (c0_1 (a678)) -> (c2_1 (a678)) -> (c3_1 (a678)) -> False). % 1.21/1.39 do 0 intro. intros zenon_H274 zenon_H4d zenon_H4c zenon_H4b zenon_H12f zenon_H130 zenon_H12e zenon_Hf5 zenon_Hf zenon_H1f zenon_H1d zenon_H1e. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H4a | zenon_intro zenon_H275 ]. % 1.21/1.39 apply (zenon_L20_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H269 | zenon_intro zenon_H18f ]. % 1.21/1.39 apply (zenon_L366_); trivial. % 1.21/1.39 apply (zenon_L173_); trivial. % 1.21/1.39 (* end of lemma zenon_L465_ *) % 1.21/1.39 assert (zenon_L466_ : ((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a606))) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> False). % 1.21/1.39 do 0 intro. intros zenon_H32 zenon_H104 zenon_H12e zenon_H130 zenon_H12f zenon_H4b zenon_H4c zenon_H4d zenon_H274 zenon_H237 zenon_H22c zenon_H22b zenon_Hca zenon_Hcb zenon_Hcc. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hf. zenon_intro zenon_H33. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H1f. zenon_intro zenon_H34. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H105 ]. % 1.21/1.39 apply (zenon_L465_); trivial. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hec | zenon_intro zenon_Hc9 ]. % 1.21/1.39 apply (zenon_L226_); trivial. % 1.21/1.39 apply (zenon_L51_); trivial. % 1.21/1.39 (* end of lemma zenon_L466_ *) % 1.21/1.39 assert (zenon_L467_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(hskp18)) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (ndr1_0) -> (~(c2_1 (a606))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(hskp9)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> False). % 1.21/1.39 do 0 intro. intros zenon_H1e0 zenon_H30 zenon_H104 zenon_Hcc zenon_Hcb zenon_Hca zenon_H237 zenon_H22c zenon_H22b zenon_H4b zenon_H4c zenon_H4d zenon_H274 zenon_H28d zenon_H100 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_H142 zenon_H1c8 zenon_Hf zenon_H12e zenon_H12f zenon_H130 zenon_H5f zenon_H1d2. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ]. % 1.21/1.39 apply (zenon_L156_); trivial. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_Hf. zenon_intro zenon_H1de. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d6. zenon_intro zenon_H1df. % 1.21/1.39 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.21/1.39 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.21/1.40 apply (zenon_L464_); trivial. % 1.21/1.40 apply (zenon_L466_); trivial. % 1.21/1.40 (* end of lemma zenon_L467_ *) % 1.21/1.40 assert (zenon_L468_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> (~(c0_1 (a592))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (ndr1_0) -> (c0_1 (a611)) -> (c1_1 (a611)) -> (c3_1 (a611)) -> False). % 1.21/1.40 do 0 intro. intros zenon_H24f zenon_Hcc zenon_Hcb zenon_Hca zenon_H4b zenon_H4c zenon_H4d zenon_H1a3 zenon_Ha7 zenon_H1a5 zenon_H1ac zenon_H1eb zenon_H237 zenon_H22c zenon_H22b zenon_Hf zenon_H7a zenon_H7b zenon_H7c. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.21/1.40 apply (zenon_L305_); trivial. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.21/1.40 apply (zenon_L226_); trivial. % 1.21/1.40 apply (zenon_L31_); trivial. % 1.21/1.40 (* end of lemma zenon_L468_ *) % 1.21/1.40 assert (zenon_L469_ : ((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (~(hskp1)) -> False). % 1.21/1.40 do 0 intro. intros zenon_H87 zenon_Hc1 zenon_H22b zenon_H22c zenon_H237 zenon_H1eb zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H4d zenon_H4c zenon_H4b zenon_Hca zenon_Hcb zenon_Hcc zenon_H24f zenon_H92 zenon_H91 zenon_H90 zenon_Hb1. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.21/1.40 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hc5 ]. % 1.21/1.40 apply (zenon_L468_); trivial. % 1.21/1.40 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H8f | zenon_intro zenon_Hb2 ]. % 1.21/1.40 apply (zenon_L39_); trivial. % 1.21/1.40 exact (zenon_Hb1 zenon_Hb2). % 1.21/1.40 (* end of lemma zenon_L469_ *) % 1.21/1.40 assert (zenon_L470_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H127 zenon_H8a zenon_Hc1 zenon_Hb1 zenon_H92 zenon_H91 zenon_H90 zenon_H1eb zenon_H4d zenon_H4c zenon_H4b zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H24f zenon_H285 zenon_H12f zenon_H130 zenon_H12e zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.21/1.40 apply (zenon_L368_); trivial. % 1.21/1.40 apply (zenon_L469_); trivial. % 1.21/1.40 (* end of lemma zenon_L470_ *) % 1.21/1.40 assert (zenon_L471_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> (~(c2_1 (a606))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H8b zenon_H12c zenon_H8a zenon_Hc1 zenon_Hb1 zenon_H92 zenon_H91 zenon_H90 zenon_H1eb zenon_H24f zenon_H285 zenon_H1d2 zenon_H5f zenon_H130 zenon_H12f zenon_H12e zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H274 zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H30 zenon_H1e0. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.40 apply (zenon_L467_); trivial. % 1.21/1.40 apply (zenon_L470_); trivial. % 1.21/1.40 (* end of lemma zenon_L471_ *) % 1.21/1.40 assert (zenon_L472_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp4)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H137 zenon_H8e zenon_H12c zenon_H8a zenon_Hc1 zenon_Hb1 zenon_H92 zenon_H91 zenon_H90 zenon_H1eb zenon_H24f zenon_H285 zenon_H1d2 zenon_H5f zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H274 zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H30 zenon_H1e0 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H184 zenon_H185 zenon_H186 zenon_H125 zenon_H1f6 zenon_H17f zenon_H289 zenon_H207. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.40 apply (zenon_L401_); trivial. % 1.21/1.40 apply (zenon_L471_); trivial. % 1.21/1.40 (* end of lemma zenon_L472_ *) % 1.21/1.40 assert (zenon_L473_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (ndr1_0) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (~(hskp16)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H8e zenon_H1eb zenon_H15f zenon_H160 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_Hb1 zenon_Hc1 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Hf zenon_H184 zenon_H185 zenon_H186 zenon_H125 zenon_H1f6 zenon_H90 zenon_H91 zenon_H92 zenon_Hfb zenon_H203 zenon_H207. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.40 apply (zenon_L443_); trivial. % 1.21/1.40 apply (zenon_L184_); trivial. % 1.21/1.40 (* end of lemma zenon_L473_ *) % 1.21/1.40 assert (zenon_L474_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp8)) -> (ndr1_0) -> (~(c3_1 (a651))) -> (~(c1_1 (a651))) -> (c2_1 (a651)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(hskp27)) -> ((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp8))) -> (~(hskp2)) -> (~(hskp7)) -> False). % 1.21/1.40 do 0 intro. intros zenon_H144 zenon_H40 zenon_Hf zenon_H1d5 zenon_H1d4 zenon_H1d6 zenon_H77 zenon_Hd8 zenon_Hd7 zenon_H75 zenon_He9 zenon_H142 zenon_H8. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H119 | zenon_intro zenon_H145 ]. % 1.21/1.40 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_He0 | zenon_intro zenon_Hea ]. % 1.21/1.40 apply (zenon_L57_); trivial. % 1.21/1.40 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H6b | zenon_intro zenon_H41 ]. % 1.21/1.40 apply (zenon_L332_); trivial. % 1.21/1.40 exact (zenon_H40 zenon_H41). % 1.21/1.40 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H143 | zenon_intro zenon_H9 ]. % 1.21/1.40 exact (zenon_H142 zenon_H143). % 1.21/1.40 exact (zenon_H8 zenon_H9). % 1.21/1.40 (* end of lemma zenon_L474_ *) % 1.21/1.40 assert (zenon_L475_ : ((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp22)) -> (~(hskp17)) -> ((hskp29)\/((hskp22)\/(hskp17))) -> ((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp8))) -> (c2_1 (a651)) -> (~(c1_1 (a651))) -> (~(c3_1 (a651))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> (~(hskp8)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H61 zenon_H8a zenon_H30 zenon_H85 zenon_H83 zenon_H1a zenon_H1c zenon_H146 zenon_Ha zenon_H148 zenon_He9 zenon_H1d6 zenon_H1d4 zenon_H1d5 zenon_Hd7 zenon_Hd8 zenon_H40 zenon_H77 zenon_H142 zenon_H8 zenon_H144. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_Hf. zenon_intro zenon_H63. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H11. zenon_intro zenon_H64. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.21/1.40 apply (zenon_L474_); trivial. % 1.21/1.40 apply (zenon_L94_); trivial. % 1.21/1.40 (* end of lemma zenon_L475_ *) % 1.21/1.40 assert (zenon_L476_ : ((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp22)) -> (~(hskp17)) -> ((hskp29)\/((hskp22)\/(hskp17))) -> ((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp8))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp12)) -> (~(hskp8)) -> ((hskp26)\/((hskp12)\/(hskp8))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H1dd zenon_H66 zenon_H8a zenon_H30 zenon_H85 zenon_H83 zenon_H1a zenon_H1c zenon_H146 zenon_Ha zenon_H148 zenon_He9 zenon_Hd7 zenon_Hd8 zenon_H77 zenon_H142 zenon_H8 zenon_H144 zenon_H46 zenon_H40 zenon_H48. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_Hf. zenon_intro zenon_H1de. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d6. zenon_intro zenon_H1df. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.21/1.40 apply (zenon_L19_); trivial. % 1.21/1.40 apply (zenon_L475_); trivial. % 1.21/1.40 (* end of lemma zenon_L476_ *) % 1.21/1.40 assert (zenon_L477_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (~(hskp7)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp24))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (~(hskp4)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H137 zenon_H8e zenon_Hbf zenon_H6a zenon_H265 zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H54 zenon_H5f zenon_H62 zenon_H66 zenon_H90 zenon_H91 zenon_H92 zenon_H8 zenon_H9b zenon_H28b zenon_H278 zenon_H277 zenon_H276 zenon_H17f zenon_H289 zenon_H207. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.40 apply (zenon_L288_); trivial. % 1.21/1.40 apply (zenon_L389_); trivial. % 1.21/1.40 (* end of lemma zenon_L477_ *) % 1.21/1.40 assert (zenon_L478_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp24))) -> (~(hskp4)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp2)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((hskp29)\/((hskp7)\/(hskp17))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> (~(hskp7)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c1_1 (a603))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp12)) -> (~(hskp8)) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.21/1.40 do 0 intro. intros zenon_Hc6 zenon_H13b zenon_H265 zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H28b zenon_H17f zenon_H289 zenon_H207 zenon_H12c zenon_H30 zenon_H144 zenon_H142 zenon_H274 zenon_H278 zenon_H277 zenon_H276 zenon_H123 zenon_Hc zenon_H9b zenon_H8 zenon_H102 zenon_He4 zenon_Hf9 zenon_Hb1 zenon_Hd8 zenon_Hd7 zenon_H107 zenon_H104 zenon_Hcc zenon_Hcb zenon_Hca zenon_H106 zenon_Hbf zenon_H66 zenon_H62 zenon_H5f zenon_H54 zenon_H46 zenon_H40 zenon_H48 zenon_H6a zenon_H8e. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.40 apply (zenon_L272_); trivial. % 1.21/1.40 apply (zenon_L356_); trivial. % 1.21/1.40 apply (zenon_L477_); trivial. % 1.21/1.40 (* end of lemma zenon_L478_ *) % 1.21/1.40 assert (zenon_L479_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp2)) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (ndr1_0) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> (~(hskp7)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp7)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((hskp29)\/((hskp22)\/(hskp17))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H8e zenon_H144 zenon_H142 zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_He9 zenon_H40 zenon_H6e zenon_H6d zenon_H6c zenon_Hf zenon_Hd7 zenon_Hd8 zenon_H8 zenon_H13c zenon_H66 zenon_H8a zenon_H30 zenon_H85 zenon_H83 zenon_H1a zenon_H1c zenon_H148 zenon_H77 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_Hca zenon_Hcb zenon_Hcc zenon_H155 zenon_H159 zenon_Hbf. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.40 apply (zenon_L393_); trivial. % 1.21/1.40 apply (zenon_L274_); trivial. % 1.21/1.40 (* end of lemma zenon_L479_ *) % 1.21/1.40 assert (zenon_L480_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp8)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp2)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((hskp29)\/((hskp7)\/(hskp17))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> (~(hskp7)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c1_1 (a603))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp7)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.21/1.40 do 0 intro. intros zenon_Hc6 zenon_H13b zenon_H138 zenon_H42 zenon_H12c zenon_H30 zenon_H144 zenon_H142 zenon_H274 zenon_H278 zenon_H277 zenon_H276 zenon_H123 zenon_Hc zenon_H9b zenon_H8 zenon_H102 zenon_He4 zenon_Hf9 zenon_Hb1 zenon_Hd8 zenon_Hd7 zenon_H107 zenon_H104 zenon_Hcc zenon_Hcb zenon_Hca zenon_H106 zenon_Hbf zenon_He9 zenon_H40 zenon_H6e zenon_H6d zenon_H6c zenon_H13c zenon_H66 zenon_H62 zenon_H5f zenon_H54 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H265 zenon_H6a zenon_H8e. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.40 apply (zenon_L272_); trivial. % 1.21/1.40 apply (zenon_L394_); trivial. % 1.21/1.40 apply (zenon_L84_); trivial. % 1.21/1.40 (* end of lemma zenon_L480_ *) % 1.21/1.40 assert (zenon_L481_ : ((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> ((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp8))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> (~(hskp8)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H1dd zenon_H8a zenon_H85 zenon_H83 zenon_H160 zenon_H15f zenon_H15e zenon_He9 zenon_Hd7 zenon_Hd8 zenon_H40 zenon_H77 zenon_H142 zenon_H8 zenon_H144. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_Hf. zenon_intro zenon_H1de. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d6. zenon_intro zenon_H1df. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.21/1.40 apply (zenon_L474_); trivial. % 1.21/1.40 apply (zenon_L113_); trivial. % 1.21/1.40 (* end of lemma zenon_L481_ *) % 1.21/1.40 assert (zenon_L482_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> ((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp8))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> (~(hskp8)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (ndr1_0) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/((hskp15)\/(hskp25))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H1e0 zenon_H8a zenon_H85 zenon_H160 zenon_H15f zenon_H15e zenon_He9 zenon_Hd7 zenon_Hd8 zenon_H40 zenon_H77 zenon_H142 zenon_H8 zenon_H144 zenon_Hf zenon_H276 zenon_H277 zenon_H278 zenon_H83 zenon_H283. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ]. % 1.21/1.40 apply (zenon_L268_); trivial. % 1.21/1.40 apply (zenon_L481_); trivial. % 1.21/1.40 (* end of lemma zenon_L482_ *) % 1.21/1.40 assert (zenon_L483_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (ndr1_0) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((hskp29)\/((hskp7)\/(hskp17))) -> (~(hskp17)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H254 zenon_H102 zenon_H100 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_Hf zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H144 zenon_H8 zenon_H142 zenon_Hca zenon_Hcb zenon_H140 zenon_Hc zenon_Ha zenon_H85 zenon_H83 zenon_H1a zenon_H1c zenon_H30 zenon_H66 zenon_Hbf. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H23e | zenon_intro zenon_H251 ]. % 1.21/1.40 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H99 | zenon_intro zenon_Hc2 ]. % 1.21/1.40 apply (zenon_L405_); trivial. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hf. zenon_intro zenon_Hc3. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H9e. zenon_intro zenon_Hc4. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H9f. zenon_intro zenon_Ha8. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.21/1.40 apply (zenon_L91_); trivial. % 1.21/1.40 apply (zenon_L408_); trivial. % 1.21/1.40 apply (zenon_L454_); trivial. % 1.21/1.40 (* end of lemma zenon_L483_ *) % 1.21/1.40 assert (zenon_L484_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> (c3_1 (a599)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (ndr1_0) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((hskp29)\/((hskp7)\/(hskp17))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H8e zenon_Hcc zenon_H254 zenon_H102 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_Hf zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H144 zenon_H8 zenon_H142 zenon_Hca zenon_Hcb zenon_H140 zenon_Hc zenon_H85 zenon_H83 zenon_H1a zenon_H1c zenon_H30 zenon_H66 zenon_Hbf zenon_H123 zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H12c. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.40 apply (zenon_L483_); trivial. % 1.21/1.40 apply (zenon_L271_); trivial. % 1.21/1.40 apply (zenon_L274_); trivial. % 1.21/1.40 (* end of lemma zenon_L484_ *) % 1.21/1.40 assert (zenon_L485_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp24))) -> (~(hskp4)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((hskp29)\/((hskp7)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.21/1.40 do 0 intro. intros zenon_Hc6 zenon_H13b zenon_H28b zenon_H17f zenon_H289 zenon_H207 zenon_H12c zenon_H30 zenon_H274 zenon_H278 zenon_H277 zenon_H276 zenon_H123 zenon_Hc zenon_Hbf zenon_H106 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H107 zenon_Hb1 zenon_Hf9 zenon_H2be zenon_H184 zenon_H186 zenon_H185 zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H102 zenon_H142 zenon_H8 zenon_H144 zenon_H254 zenon_H9b zenon_H66 zenon_H62 zenon_H5f zenon_H54 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H265 zenon_H6a zenon_H8e. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H23e | zenon_intro zenon_H251 ]. % 1.21/1.40 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H99 | zenon_intro zenon_Hc2 ]. % 1.21/1.40 apply (zenon_L405_); trivial. % 1.21/1.40 apply (zenon_L72_); trivial. % 1.21/1.40 apply (zenon_L454_); trivial. % 1.21/1.40 apply (zenon_L271_); trivial. % 1.21/1.40 apply (zenon_L389_); trivial. % 1.21/1.40 apply (zenon_L477_); trivial. % 1.21/1.40 (* end of lemma zenon_L485_ *) % 1.21/1.40 assert (zenon_L486_ : ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (ndr1_0) -> (forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34)))))) -> (~(hskp15)) -> False). % 1.21/1.40 do 0 intro. intros zenon_H85 zenon_H160 zenon_H15f zenon_H15e zenon_H184 zenon_H186 zenon_H185 zenon_Hf zenon_Heb zenon_H83. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H20 | zenon_intro zenon_H86 ]. % 1.21/1.40 apply (zenon_L103_); trivial. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H86); [ zenon_intro zenon_H79 | zenon_intro zenon_H84 ]. % 1.21/1.40 apply (zenon_L403_); trivial. % 1.21/1.40 exact (zenon_H83 zenon_H84). % 1.21/1.40 (* end of lemma zenon_L486_ *) % 1.21/1.40 assert (zenon_L487_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(hskp15)) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (ndr1_0) -> (~(hskp18)) -> False). % 1.21/1.40 do 0 intro. intros zenon_H102 zenon_H83 zenon_H185 zenon_H186 zenon_H184 zenon_H15e zenon_H15f zenon_H160 zenon_H85 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_Hf zenon_H100. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Heb | zenon_intro zenon_H103 ]. % 1.21/1.40 apply (zenon_L486_); trivial. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hfd | zenon_intro zenon_H101 ]. % 1.21/1.40 apply (zenon_L68_); trivial. % 1.21/1.40 exact (zenon_H100 zenon_H101). % 1.21/1.40 (* end of lemma zenon_L487_ *) % 1.21/1.40 assert (zenon_L488_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (ndr1_0) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H12c zenon_H8a zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H85 zenon_H83 zenon_H184 zenon_H186 zenon_H185 zenon_H160 zenon_H15f zenon_H15e zenon_Hf zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H102. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.40 apply (zenon_L487_); trivial. % 1.21/1.40 apply (zenon_L284_); trivial. % 1.21/1.40 (* end of lemma zenon_L488_ *) % 1.21/1.40 assert (zenon_L489_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H194 zenon_H1e1 zenon_Hc1 zenon_Hb1 zenon_H178 zenon_H177 zenon_H176 zenon_H102 zenon_H15e zenon_H15f zenon_H160 zenon_H185 zenon_H186 zenon_H184 zenon_H85 zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H8a zenon_H12c. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.21/1.40 apply (zenon_L488_); trivial. % 1.21/1.40 apply (zenon_L198_); trivial. % 1.21/1.40 (* end of lemma zenon_L489_ *) % 1.21/1.40 assert (zenon_L490_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H197 zenon_H198 zenon_H1e1 zenon_Hc1 zenon_Hb1 zenon_H178 zenon_H177 zenon_H176 zenon_H102 zenon_H15e zenon_H15f zenon_H160 zenon_H85 zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H8a zenon_H12c zenon_H192 zenon_H186 zenon_H185 zenon_H184 zenon_H142 zenon_H8 zenon_H144. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.21/1.40 apply (zenon_L124_); trivial. % 1.21/1.40 apply (zenon_L489_); trivial. % 1.21/1.40 (* end of lemma zenon_L490_ *) % 1.21/1.40 assert (zenon_L491_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (~(c0_1 (a592))) -> (c1_1 (a612)) -> (c3_1 (a612)) -> (c2_1 (a612)) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5)))))) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.21/1.40 do 0 intro. intros zenon_H174 zenon_H1ac zenon_H1a5 zenon_Ha7 zenon_H1a3 zenon_Hb3 zenon_Hb5 zenon_Hb4 zenon_Hec zenon_Hf zenon_H46. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H167 | zenon_intro zenon_H175 ]. % 1.21/1.40 apply (zenon_L131_); trivial. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H10 | zenon_intro zenon_H47 ]. % 1.21/1.40 apply (zenon_L109_); trivial. % 1.21/1.40 exact (zenon_H46 zenon_H47). % 1.21/1.40 (* end of lemma zenon_L491_ *) % 1.21/1.40 assert (zenon_L492_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp17)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (c3_1 (a599)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp12)) -> (c2_1 (a612)) -> (c3_1 (a612)) -> (c1_1 (a612)) -> (~(c0_1 (a592))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (ndr1_0) -> (c0_1 (a611)) -> (c1_1 (a611)) -> (c3_1 (a611)) -> False). % 1.21/1.40 do 0 intro. intros zenon_H24f zenon_Ha zenon_Hca zenon_Hcb zenon_H1eb zenon_H114 zenon_H10c zenon_H10b zenon_Hcc zenon_H123 zenon_H46 zenon_Hb4 zenon_Hb5 zenon_Hb3 zenon_H1a3 zenon_Ha7 zenon_H1a5 zenon_H1ac zenon_H174 zenon_Hf zenon_H7a zenon_H7b zenon_H7c. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.21/1.40 apply (zenon_L247_); trivial. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.21/1.40 apply (zenon_L491_); trivial. % 1.21/1.40 apply (zenon_L31_); trivial. % 1.21/1.40 (* end of lemma zenon_L492_ *) % 1.21/1.40 assert (zenon_L493_ : ((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (c3_1 (a611)) -> (c1_1 (a611)) -> (c0_1 (a611)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (~(hskp12)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c3_1 (a599)) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp17)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp26)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (~(hskp2)) -> False). % 1.21/1.40 do 0 intro. intros zenon_Hbc zenon_H1c8 zenon_H7c zenon_H7b zenon_H7a zenon_H174 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H46 zenon_H123 zenon_Hcc zenon_H10b zenon_H10c zenon_H114 zenon_H1eb zenon_Hcb zenon_Hca zenon_Ha zenon_H24f zenon_H1 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_He4 zenon_Hd7 zenon_H140 zenon_H142. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1c9 ]. % 1.21/1.40 apply (zenon_L492_); trivial. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H143 ]. % 1.21/1.40 apply (zenon_L419_); trivial. % 1.21/1.40 exact (zenon_H142 zenon_H143). % 1.21/1.40 (* end of lemma zenon_L493_ *) % 1.21/1.40 assert (zenon_L494_ : ((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> (~(hskp26)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H87 zenon_Hc0 zenon_He4 zenon_Hd7 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H1 zenon_H140 zenon_H123 zenon_Ha zenon_H10b zenon_H10c zenon_H114 zenon_H1eb zenon_H174 zenon_H46 zenon_H24f zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H142 zenon_H1c8. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.21/1.40 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.21/1.40 apply (zenon_L146_); trivial. % 1.21/1.40 apply (zenon_L493_); trivial. % 1.21/1.40 (* end of lemma zenon_L494_ *) % 1.21/1.40 assert (zenon_L495_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H127 zenon_H66 zenon_H1c zenon_H1a zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H1c8 zenon_H142 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H1c3 zenon_H24f zenon_H46 zenon_H174 zenon_H1eb zenon_Ha zenon_H123 zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Hd7 zenon_He4 zenon_Hc0 zenon_H8a. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.21/1.40 apply (zenon_L278_); trivial. % 1.21/1.40 apply (zenon_L494_); trivial. % 1.21/1.40 apply (zenon_L147_); trivial. % 1.21/1.40 (* end of lemma zenon_L495_ *) % 1.21/1.40 assert (zenon_L496_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp8)\/(hskp6))) -> (~(hskp6)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (ndr1_0) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(hskp12)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H198 zenon_H8e zenon_H44 zenon_H42 zenon_H54 zenon_H1b5 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H8a zenon_Hc0 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H123 zenon_H1eb zenon_H174 zenon_H24f zenon_H1c3 zenon_H142 zenon_H1c8 zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H1a zenon_H1c zenon_H12c zenon_Hd5 zenon_Hcc zenon_Hcb zenon_Hca zenon_Hf zenon_H48 zenon_H40 zenon_H46 zenon_H5f zenon_H62 zenon_H66 zenon_H6a. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.21/1.40 apply (zenon_L153_); trivial. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.40 apply (zenon_L135_); trivial. % 1.21/1.40 apply (zenon_L495_); trivial. % 1.21/1.40 apply (zenon_L383_); trivial. % 1.21/1.40 (* end of lemma zenon_L496_ *) % 1.21/1.40 assert (zenon_L497_ : ((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> False). % 1.21/1.40 do 0 intro. intros zenon_Hc2 zenon_H66 zenon_Hc0 zenon_H1c zenon_H1a zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H142 zenon_H1c8 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hf. zenon_intro zenon_Hc3. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H9e. zenon_intro zenon_Hc4. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H9f. zenon_intro zenon_Ha8. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.21/1.40 apply (zenon_L386_); trivial. % 1.21/1.40 apply (zenon_L147_); trivial. % 1.21/1.40 (* end of lemma zenon_L497_ *) % 1.21/1.40 assert (zenon_L498_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (ndr1_0) -> (~(hskp18)) -> False). % 1.21/1.40 do 0 intro. intros zenon_H102 zenon_H184 zenon_H186 zenon_H185 zenon_H79 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_Hf zenon_H100. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H102); [ zenon_intro zenon_Heb | zenon_intro zenon_H103 ]. % 1.21/1.40 apply (zenon_L403_); trivial. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hfd | zenon_intro zenon_H101 ]. % 1.21/1.40 apply (zenon_L68_); trivial. % 1.21/1.40 exact (zenon_H100 zenon_H101). % 1.21/1.40 (* end of lemma zenon_L498_ *) % 1.21/1.40 assert (zenon_L499_ : ((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c2_1 (a617)) -> (~(c1_1 (a617))) -> (~(c0_1 (a617))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (~(hskp18)) -> False). % 1.21/1.40 do 0 intro. intros zenon_Hbc zenon_H24f zenon_H248 zenon_H247 zenon_H246 zenon_H1a zenon_H1c zenon_H102 zenon_H184 zenon_H186 zenon_H185 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H100. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.21/1.40 apply (zenon_L227_); trivial. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.21/1.40 apply (zenon_L306_); trivial. % 1.21/1.40 apply (zenon_L498_); trivial. % 1.21/1.40 (* end of lemma zenon_L499_ *) % 1.21/1.40 assert (zenon_L500_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (ndr1_0) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H254 zenon_H24f zenon_H102 zenon_H100 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_Hf zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H1c8 zenon_H142 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H1c3 zenon_H1a zenon_H1c zenon_Hc0 zenon_H66 zenon_Hbf. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H23e | zenon_intro zenon_H251 ]. % 1.21/1.40 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H99 | zenon_intro zenon_Hc2 ]. % 1.21/1.40 apply (zenon_L405_); trivial. % 1.21/1.40 apply (zenon_L497_); trivial. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_Hf. zenon_intro zenon_H252. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H248. zenon_intro zenon_H253. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H246. zenon_intro zenon_H247. % 1.21/1.40 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.21/1.40 apply (zenon_L146_); trivial. % 1.21/1.40 apply (zenon_L499_); trivial. % 1.21/1.40 (* end of lemma zenon_L500_ *) % 1.21/1.40 assert (zenon_L501_ : ((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (c0_1 (a611)) -> (c1_1 (a611)) -> (c3_1 (a611)) -> False). % 1.21/1.40 do 0 intro. intros zenon_Hbc zenon_H24f zenon_Hcc zenon_Hcb zenon_Hca zenon_H276 zenon_H277 zenon_H278 zenon_H4b zenon_H4c zenon_H4d zenon_H274 zenon_H1a zenon_H1c zenon_H7a zenon_H7b zenon_H7c. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.21/1.40 apply (zenon_L273_); trivial. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.21/1.40 apply (zenon_L306_); trivial. % 1.21/1.40 apply (zenon_L31_); trivial. % 1.21/1.40 (* end of lemma zenon_L501_ *) % 1.21/1.40 assert (zenon_L502_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H8b zenon_H12c zenon_H8a zenon_Hc0 zenon_H24f zenon_H1a zenon_H1c zenon_H1c3 zenon_Hcc zenon_Hcb zenon_Hca zenon_H285 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.40 apply (zenon_L296_); trivial. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.21/1.40 apply (zenon_L278_); trivial. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.21/1.40 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.21/1.40 apply (zenon_L146_); trivial. % 1.21/1.40 apply (zenon_L501_); trivial. % 1.21/1.40 (* end of lemma zenon_L502_ *) % 1.21/1.40 assert (zenon_L503_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H194 zenon_H8e zenon_H28d zenon_H274 zenon_H30 zenon_H254 zenon_H24f zenon_H102 zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H1c8 zenon_H142 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H1c3 zenon_H1a zenon_H1c zenon_Hc0 zenon_H66 zenon_Hbf zenon_H8a zenon_H123 zenon_H1eb zenon_H174 zenon_H46 zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H12c. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.40 apply (zenon_L500_); trivial. % 1.21/1.40 apply (zenon_L495_); trivial. % 1.21/1.40 apply (zenon_L502_); trivial. % 1.21/1.40 (* end of lemma zenon_L503_ *) % 1.21/1.40 assert (zenon_L504_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (~(hskp4)) -> (~(hskp10)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H198 zenon_H8e zenon_H28d zenon_H274 zenon_H30 zenon_H254 zenon_H24f zenon_H102 zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H1c zenon_H66 zenon_Hbf zenon_H8a zenon_H123 zenon_H1eb zenon_H174 zenon_H46 zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H12c zenon_Hd5 zenon_Hcc zenon_Hcb zenon_Hca zenon_Hf zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H1c3 zenon_H1e5 zenon_H17f zenon_H1a zenon_H5f zenon_H62 zenon_Hc0 zenon_H6a. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.21/1.40 apply (zenon_L168_); trivial. % 1.21/1.40 apply (zenon_L503_); trivial. % 1.21/1.40 (* end of lemma zenon_L504_ *) % 1.21/1.40 assert (zenon_L505_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(hskp18)) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (ndr1_0) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H30 zenon_H192 zenon_Hd3 zenon_H186 zenon_H185 zenon_H184 zenon_H28d zenon_H100 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hf zenon_H142 zenon_H1c8. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.21/1.40 apply (zenon_L294_); trivial. % 1.21/1.40 apply (zenon_L201_); trivial. % 1.21/1.40 (* end of lemma zenon_L505_ *) % 1.21/1.40 assert (zenon_L506_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (c3_1 (a636)) -> (~(c1_1 (a636))) -> (~(c0_1 (a636))) -> (~(hskp16)) -> (ndr1_0) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (c2_1 (a600)) -> (forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(hskp9)) -> False). % 1.21/1.40 do 0 intro. intros zenon_H62 zenon_H39 zenon_H38 zenon_H37 zenon_Hfb zenon_Hf zenon_H6d zenon_H6c zenon_H6e zenon_H79 zenon_H185 zenon_H186 zenon_H184 zenon_H287 zenon_H5f. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H36 | zenon_intro zenon_H65 ]. % 1.21/1.40 apply (zenon_L14_); trivial. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H10 | zenon_intro zenon_H60 ]. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H10a | zenon_intro zenon_H288 ]. % 1.21/1.40 apply (zenon_L207_); trivial. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H1c5 | zenon_intro zenon_Hfc ]. % 1.21/1.40 apply (zenon_L308_); trivial. % 1.21/1.40 exact (zenon_Hfb zenon_Hfc). % 1.21/1.40 exact (zenon_H5f zenon_H60). % 1.21/1.40 (* end of lemma zenon_L506_ *) % 1.21/1.40 assert (zenon_L507_ : ((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (c3_1 (a636)) -> (~(c1_1 (a636))) -> (~(c0_1 (a636))) -> (~(hskp16)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (c2_1 (a600)) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(hskp9)) -> False). % 1.21/1.40 do 0 intro. intros zenon_Hbc zenon_H24f zenon_Hca zenon_Hcb zenon_Hcc zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H155 zenon_H62 zenon_H39 zenon_H38 zenon_H37 zenon_Hfb zenon_H6d zenon_H6c zenon_H6e zenon_H185 zenon_H186 zenon_H184 zenon_H287 zenon_H5f. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.21/1.40 apply (zenon_L150_); trivial. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.21/1.40 apply (zenon_L297_); trivial. % 1.21/1.40 apply (zenon_L506_); trivial. % 1.21/1.40 (* end of lemma zenon_L507_ *) % 1.21/1.40 assert (zenon_L508_ : ((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H67 zenon_Hc0 zenon_H24f zenon_H287 zenon_Hfb zenon_H184 zenon_H186 zenon_H185 zenon_H5f zenon_H62 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_Hca zenon_Hcb zenon_Hcc zenon_H155 zenon_H10b zenon_H10c zenon_H114 zenon_H6c zenon_H6d zenon_H6e zenon_H1ba. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Hf. zenon_intro zenon_H68. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H39. zenon_intro zenon_H69. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H37. zenon_intro zenon_H38. % 1.21/1.40 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.21/1.40 apply (zenon_L137_); trivial. % 1.21/1.40 apply (zenon_L507_); trivial. % 1.21/1.40 (* end of lemma zenon_L508_ *) % 1.21/1.40 assert (zenon_L509_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(hskp16)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (ndr1_0) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp14)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H12c zenon_H6a zenon_Hc0 zenon_H24f zenon_H287 zenon_Hfb zenon_H5f zenon_H62 zenon_H155 zenon_H6c zenon_H6d zenon_H6e zenon_H1ba zenon_Hca zenon_Hcb zenon_Hcc zenon_Hd5 zenon_H1c8 zenon_H142 zenon_Hf zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H184 zenon_H185 zenon_H186 zenon_Hd3 zenon_H192 zenon_H30. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.40 apply (zenon_L505_); trivial. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.21/1.40 apply (zenon_L53_); trivial. % 1.21/1.40 apply (zenon_L508_); trivial. % 1.21/1.40 (* end of lemma zenon_L509_ *) % 1.21/1.40 assert (zenon_L510_ : ((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(c0_1 (a636))) -> (~(c1_1 (a636))) -> (c3_1 (a636)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H1dd zenon_H8a zenon_Hc0 zenon_H24f zenon_H37 zenon_H38 zenon_H39 zenon_H5f zenon_H62 zenon_H4b zenon_H4c zenon_H4d zenon_H274 zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H142 zenon_H1c8 zenon_H10b zenon_H10c zenon_H114 zenon_H276 zenon_H277 zenon_H278 zenon_H285. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_Hf. zenon_intro zenon_H1de. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d6. zenon_intro zenon_H1df. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.21/1.40 apply (zenon_L278_); trivial. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.21/1.40 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.21/1.40 apply (zenon_L447_); trivial. % 1.21/1.40 apply (zenon_L298_); trivial. % 1.21/1.40 (* end of lemma zenon_L510_ *) % 1.21/1.40 assert (zenon_L511_ : ((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c2_1 (a606))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(hskp9)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H67 zenon_H1e0 zenon_H8a zenon_Hc0 zenon_H24f zenon_H62 zenon_H4b zenon_H4c zenon_H4d zenon_H274 zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H142 zenon_H1c8 zenon_H10b zenon_H10c zenon_H114 zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H12e zenon_H12f zenon_H130 zenon_H5f zenon_H1d2. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Hf. zenon_intro zenon_H68. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H39. zenon_intro zenon_H69. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H37. zenon_intro zenon_H38. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ]. % 1.21/1.40 apply (zenon_L156_); trivial. % 1.21/1.40 apply (zenon_L510_); trivial. % 1.21/1.40 (* end of lemma zenon_L511_ *) % 1.21/1.40 assert (zenon_L512_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c2_1 (a606))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(hskp9)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(hskp14)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H8b zenon_H12c zenon_H6a zenon_H1e0 zenon_H8a zenon_Hc0 zenon_H24f zenon_H62 zenon_H1c3 zenon_H285 zenon_H12e zenon_H12f zenon_H130 zenon_H5f zenon_H1d2 zenon_Hca zenon_Hcb zenon_Hcc zenon_Hd3 zenon_Hd5 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.40 apply (zenon_L296_); trivial. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.21/1.40 apply (zenon_L53_); trivial. % 1.21/1.40 apply (zenon_L511_); trivial. % 1.21/1.40 (* end of lemma zenon_L512_ *) % 1.21/1.40 assert (zenon_L513_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(hskp9)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(hskp14)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp24))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (~(hskp4)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H137 zenon_H8e zenon_H12c zenon_H6a zenon_H1e0 zenon_H8a zenon_Hc0 zenon_H24f zenon_H62 zenon_H1c3 zenon_H285 zenon_H5f zenon_H1d2 zenon_Hca zenon_Hcb zenon_Hcc zenon_Hd3 zenon_Hd5 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H274 zenon_H30 zenon_H28b zenon_H278 zenon_H277 zenon_H276 zenon_H17f zenon_H289 zenon_H207. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.40 apply (zenon_L288_); trivial. % 1.21/1.40 apply (zenon_L512_); trivial. % 1.21/1.40 (* end of lemma zenon_L513_ *) % 1.21/1.40 assert (zenon_L514_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp24))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (~(hskp4)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (ndr1_0) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H13b zenon_H8e zenon_H1e0 zenon_H8a zenon_H1c3 zenon_H285 zenon_H1d2 zenon_H274 zenon_H28b zenon_H278 zenon_H277 zenon_H276 zenon_H17f zenon_H289 zenon_H207 zenon_H30 zenon_H192 zenon_Hd3 zenon_H186 zenon_H185 zenon_H184 zenon_H28d zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hf zenon_H142 zenon_H1c8 zenon_Hd5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H1ba zenon_H6e zenon_H6d zenon_H6c zenon_H155 zenon_H62 zenon_H5f zenon_H287 zenon_H24f zenon_Hc0 zenon_H6a zenon_H12c. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.21/1.40 apply (zenon_L509_); trivial. % 1.21/1.40 apply (zenon_L513_); trivial. % 1.21/1.40 (* end of lemma zenon_L514_ *) % 1.21/1.40 assert (zenon_L515_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp15)) -> (~(hskp29)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a651)) -> (~(c3_1 (a651))) -> (~(c1_1 (a651))) -> (ndr1_0) -> (~(hskp2)) -> False). % 1.21/1.40 do 0 intro. intros zenon_H1c8 zenon_H83 zenon_H6 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H1e7 zenon_H1d6 zenon_H1d5 zenon_H1d4 zenon_Hf zenon_H142. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1c9 ]. % 1.21/1.40 apply (zenon_L170_); trivial. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H143 ]. % 1.21/1.40 apply (zenon_L157_); trivial. % 1.21/1.40 exact (zenon_H142 zenon_H143). % 1.21/1.40 (* end of lemma zenon_L515_ *) % 1.21/1.40 assert (zenon_L516_ : ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16))))) -> (ndr1_0) -> (c0_1 (a678)) -> (c2_1 (a678)) -> (c3_1 (a678)) -> False). % 1.21/1.40 do 0 intro. intros zenon_H274 zenon_H114 zenon_H10c zenon_H10b zenon_H10a zenon_H12f zenon_H130 zenon_H12e zenon_Hf5 zenon_Hf zenon_H1f zenon_H1d zenon_H1e. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H4a | zenon_intro zenon_H275 ]. % 1.21/1.40 apply (zenon_L246_); trivial. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H269 | zenon_intro zenon_H18f ]. % 1.21/1.40 apply (zenon_L366_); trivial. % 1.21/1.40 apply (zenon_L173_); trivial. % 1.21/1.40 (* end of lemma zenon_L516_ *) % 1.21/1.40 assert (zenon_L517_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c3_1 (a678)) -> (c2_1 (a678)) -> (c0_1 (a678)) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16))))) -> (~(c2_1 (a606))) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a599)) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c1_1 (a599))) -> (ndr1_0) -> (~(hskp17)) -> False). % 1.21/1.40 do 0 intro. intros zenon_H123 zenon_H1e zenon_H1d zenon_H1f zenon_Hf5 zenon_H12e zenon_H130 zenon_H12f zenon_H10b zenon_H10c zenon_H114 zenon_H274 zenon_Hcb zenon_H119 zenon_Hca zenon_Hf zenon_Ha. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10a | zenon_intro zenon_H124 ]. % 1.21/1.40 apply (zenon_L516_); trivial. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H11f | zenon_intro zenon_Hb ]. % 1.21/1.40 apply (zenon_L78_); trivial. % 1.21/1.40 exact (zenon_Ha zenon_Hb). % 1.21/1.40 (* end of lemma zenon_L517_ *) % 1.21/1.40 assert (zenon_L518_ : ((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c2_1 (a606))) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp17)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp10)) -> (c1_1 (a612)) -> (c2_1 (a612)) -> (c3_1 (a612)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (c0_1 (a611)) -> (c1_1 (a611)) -> (c3_1 (a611)) -> False). % 1.21/1.40 do 0 intro. intros zenon_H32 zenon_H24f zenon_Hcc zenon_Hcb zenon_Hca zenon_H123 zenon_H12e zenon_H130 zenon_H12f zenon_H10b zenon_H10c zenon_H114 zenon_H274 zenon_Ha zenon_H104 zenon_H1a zenon_Hb3 zenon_Hb4 zenon_Hb5 zenon_H1c zenon_H7a zenon_H7b zenon_H7c. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hf. zenon_intro zenon_H33. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H1f. zenon_intro zenon_H34. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H105 ]. % 1.21/1.40 apply (zenon_L517_); trivial. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hec | zenon_intro zenon_Hc9 ]. % 1.21/1.40 apply (zenon_L306_); trivial. % 1.21/1.40 apply (zenon_L51_); trivial. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.21/1.40 apply (zenon_L306_); trivial. % 1.21/1.40 apply (zenon_L31_); trivial. % 1.21/1.40 (* end of lemma zenon_L518_ *) % 1.21/1.40 assert (zenon_L519_ : ((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> (~(c2_1 (a606))) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c1_1 (a651))) -> (~(c3_1 (a651))) -> (c2_1 (a651)) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> False). % 1.21/1.40 do 0 intro. intros zenon_H87 zenon_Hc0 zenon_H30 zenon_H24f zenon_H123 zenon_Ha zenon_H10b zenon_H10c zenon_H114 zenon_H12e zenon_H130 zenon_H12f zenon_H274 zenon_H1c zenon_H1a zenon_H104 zenon_H1e7 zenon_H83 zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_H142 zenon_H1c8. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.21/1.40 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.21/1.40 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.21/1.40 apply (zenon_L447_); trivial. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.21/1.40 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.21/1.40 apply (zenon_L515_); trivial. % 1.21/1.40 apply (zenon_L518_); trivial. % 1.21/1.40 (* end of lemma zenon_L519_ *) % 1.21/1.40 assert (zenon_L520_ : ((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (c3_1 (a611)) -> (c1_1 (a611)) -> (c0_1 (a611)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp23)) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp1)) -> False). % 1.21/1.40 do 0 intro. intros zenon_Hbc zenon_Hc1 zenon_H7c zenon_H7b zenon_H7a zenon_H1c zenon_H1a zenon_H1eb zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_Hca zenon_Hcb zenon_Hcc zenon_H24f zenon_H2e zenon_H184 zenon_H185 zenon_H186 zenon_H4b zenon_H4c zenon_H4d zenon_H54 zenon_Hb1. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.21/1.40 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.21/1.40 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hc5 ]. % 1.21/1.40 apply (zenon_L307_); trivial. % 1.21/1.40 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H8f | zenon_intro zenon_Hb2 ]. % 1.21/1.40 apply (zenon_L421_); trivial. % 1.21/1.40 exact (zenon_Hb1 zenon_Hb2). % 1.21/1.40 (* end of lemma zenon_L520_ *) % 1.21/1.40 assert (zenon_L521_ : ((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp23)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c1_1 (a651))) -> (~(c3_1 (a651))) -> (c2_1 (a651)) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H87 zenon_Hc0 zenon_Hc1 zenon_Hb1 zenon_H184 zenon_H185 zenon_H186 zenon_H2e zenon_H54 zenon_H1eb zenon_H4d zenon_H4c zenon_H4b zenon_H1c zenon_H1a zenon_H24f zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_H142 zenon_H1c8. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.21/1.41 apply (zenon_L447_); trivial. % 1.21/1.41 apply (zenon_L520_); trivial. % 1.21/1.41 (* end of lemma zenon_L521_ *) % 1.21/1.41 assert (zenon_L522_ : ((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp23)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H1dd zenon_H8a zenon_Hc0 zenon_Hc1 zenon_Hb1 zenon_H184 zenon_H185 zenon_H186 zenon_H2e zenon_H54 zenon_H1eb zenon_H4d zenon_H4c zenon_H4b zenon_H1c zenon_H1a zenon_H24f zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H142 zenon_H1c8 zenon_H10b zenon_H10c zenon_H114 zenon_H276 zenon_H277 zenon_H278 zenon_H285. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_Hf. zenon_intro zenon_H1de. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d6. zenon_intro zenon_H1df. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.21/1.41 apply (zenon_L278_); trivial. % 1.21/1.41 apply (zenon_L521_); trivial. % 1.21/1.41 (* end of lemma zenon_L522_ *) % 1.21/1.41 assert (zenon_L523_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> (~(c2_1 (a606))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H8b zenon_H12c zenon_H6a zenon_H62 zenon_H1d2 zenon_H5f zenon_H130 zenon_H12f zenon_H12e zenon_H285 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1c3 zenon_H24f zenon_H1a zenon_H1c zenon_H1eb zenon_H54 zenon_H186 zenon_H185 zenon_H184 zenon_Hb1 zenon_Hc1 zenon_Hc0 zenon_H8a zenon_H1e0 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.41 apply (zenon_L296_); trivial. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ]. % 1.21/1.41 apply (zenon_L156_); trivial. % 1.21/1.41 apply (zenon_L522_); trivial. % 1.21/1.41 apply (zenon_L299_); trivial. % 1.21/1.41 (* end of lemma zenon_L523_ *) % 1.21/1.41 assert (zenon_L524_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H137 zenon_H8e zenon_H6a zenon_H62 zenon_H1eb zenon_H54 zenon_Hb1 zenon_Hc1 zenon_H28d zenon_H254 zenon_H24f zenon_H102 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H1c8 zenon_H142 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H1c3 zenon_H1a zenon_H1c zenon_Hc0 zenon_H66 zenon_Hbf zenon_H1d2 zenon_H5f zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H83 zenon_H1e7 zenon_H104 zenon_H274 zenon_H123 zenon_H30 zenon_H8a zenon_H1e0 zenon_H12c. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.41 apply (zenon_L500_); trivial. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ]. % 1.21/1.41 apply (zenon_L156_); trivial. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_Hf. zenon_intro zenon_H1de. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d6. zenon_intro zenon_H1df. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.21/1.41 apply (zenon_L278_); trivial. % 1.21/1.41 apply (zenon_L519_); trivial. % 1.21/1.41 apply (zenon_L523_); trivial. % 1.21/1.41 (* end of lemma zenon_L524_ *) % 1.21/1.41 assert (zenon_L525_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c0_1 (a604))) -> (c3_1 (a604)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (ndr1_0) -> (~(hskp18)) -> False). % 1.21/1.41 do 0 intro. intros zenon_H24f zenon_H6e zenon_H6d zenon_H6c zenon_Hca zenon_Hcb zenon_Hcc zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H155 zenon_H90 zenon_H92 zenon_H102 zenon_H184 zenon_H186 zenon_H185 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_Hf zenon_H100. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.21/1.41 apply (zenon_L150_); trivial. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.21/1.41 apply (zenon_L70_); trivial. % 1.21/1.41 apply (zenon_L498_); trivial. % 1.21/1.41 (* end of lemma zenon_L525_ *) % 1.21/1.41 assert (zenon_L526_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (ndr1_0) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (c3_1 (a604)) -> (~(c0_1 (a604))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H12c zenon_H159 zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H1ba zenon_H62 zenon_H5f zenon_H222 zenon_H42 zenon_Hfb zenon_H287 zenon_Hc0 zenon_H8a zenon_H155 zenon_H6e zenon_H6d zenon_H6c zenon_Hcc zenon_Hcb zenon_Hca zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_Hf zenon_H102 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H92 zenon_H90 zenon_H184 zenon_H186 zenon_H185 zenon_H24f. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.41 apply (zenon_L525_); trivial. % 1.21/1.41 apply (zenon_L281_); trivial. % 1.21/1.41 (* end of lemma zenon_L526_ *) % 1.21/1.41 assert (zenon_L527_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H127 zenon_H8a zenon_Hc0 zenon_Hc1 zenon_Hb1 zenon_H92 zenon_H91 zenon_H90 zenon_H1eb zenon_H4d zenon_H4c zenon_H4b zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H1c zenon_H1a zenon_H24f zenon_H1ba zenon_H155 zenon_H6e zenon_H6d zenon_H6c zenon_Hcc zenon_Hcb zenon_Hca zenon_H12f zenon_H130 zenon_H12e zenon_H285. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.21/1.41 apply (zenon_L456_); trivial. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.21/1.41 apply (zenon_L137_); trivial. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hc5 ]. % 1.21/1.41 apply (zenon_L307_); trivial. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H8f | zenon_intro zenon_Hb2 ]. % 1.21/1.41 apply (zenon_L39_); trivial. % 1.21/1.41 exact (zenon_Hb1 zenon_Hb2). % 1.21/1.41 (* end of lemma zenon_L527_ *) % 1.21/1.41 assert (zenon_L528_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H8b zenon_H12c zenon_H8a zenon_Hc0 zenon_Hc1 zenon_Hb1 zenon_H92 zenon_H91 zenon_H90 zenon_H1eb zenon_H1c zenon_H1a zenon_H24f zenon_H1ba zenon_H155 zenon_H6e zenon_H6d zenon_H6c zenon_Hcc zenon_Hcb zenon_Hca zenon_H12f zenon_H130 zenon_H12e zenon_H285 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.41 apply (zenon_L296_); trivial. % 1.21/1.41 apply (zenon_L527_); trivial. % 1.21/1.41 (* end of lemma zenon_L528_ *) % 1.21/1.41 assert (zenon_L529_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp24))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (~(hskp4)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H137 zenon_H8e zenon_H12c zenon_H8a zenon_Hc0 zenon_Hc1 zenon_Hb1 zenon_H92 zenon_H91 zenon_H90 zenon_H1eb zenon_H1c zenon_H1a zenon_H24f zenon_H1ba zenon_H155 zenon_H6e zenon_H6d zenon_H6c zenon_Hcc zenon_Hcb zenon_Hca zenon_H285 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H274 zenon_H30 zenon_H28b zenon_H278 zenon_H277 zenon_H276 zenon_H17f zenon_H289 zenon_H207. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.41 apply (zenon_L288_); trivial. % 1.21/1.41 apply (zenon_L528_); trivial. % 1.21/1.41 (* end of lemma zenon_L529_ *) % 1.21/1.41 assert (zenon_L530_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (c3_1 (a598)) -> (c0_1 (a598)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H8b zenon_H12c zenon_H6a zenon_H8a zenon_Hc0 zenon_H24f zenon_H5f zenon_H62 zenon_H1c3 zenon_Hcc zenon_Hcb zenon_Hca zenon_H285 zenon_H54 zenon_H160 zenon_H15f zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.41 apply (zenon_L296_); trivial. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.21/1.41 apply (zenon_L316_); trivial. % 1.21/1.41 apply (zenon_L299_); trivial. % 1.21/1.41 (* end of lemma zenon_L530_ *) % 1.21/1.41 assert (zenon_L531_ : ((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (c3_1 (a611)) -> (c1_1 (a611)) -> (c0_1 (a611)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (~(hskp12)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c3_1 (a599)) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp17)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (~(hskp1)) -> False). % 1.21/1.41 do 0 intro. intros zenon_Hbc zenon_Hc1 zenon_H7c zenon_H7b zenon_H7a zenon_H174 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H46 zenon_H123 zenon_Hcc zenon_H10b zenon_H10c zenon_H114 zenon_H1eb zenon_Hcb zenon_Hca zenon_Ha zenon_H24f zenon_H92 zenon_H91 zenon_H90 zenon_Hb1. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hc5 ]. % 1.21/1.41 apply (zenon_L492_); trivial. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H8f | zenon_intro zenon_Hb2 ]. % 1.21/1.41 apply (zenon_L39_); trivial. % 1.21/1.41 exact (zenon_Hb1 zenon_Hb2). % 1.21/1.41 (* end of lemma zenon_L531_ *) % 1.21/1.41 assert (zenon_L532_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H127 zenon_H8a zenon_Hc0 zenon_Hc1 zenon_Hb1 zenon_H92 zenon_H91 zenon_H90 zenon_H123 zenon_Ha zenon_H1eb zenon_H174 zenon_H46 zenon_H24f zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H142 zenon_H1c8 zenon_H276 zenon_H277 zenon_H278 zenon_H285. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.21/1.41 apply (zenon_L278_); trivial. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.21/1.41 apply (zenon_L146_); trivial. % 1.21/1.41 apply (zenon_L531_); trivial. % 1.21/1.41 (* end of lemma zenon_L532_ *) % 1.21/1.41 assert (zenon_L533_ : ((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> False). % 1.21/1.41 do 0 intro. intros zenon_Hc2 zenon_H66 zenon_Hc1 zenon_Hb1 zenon_H92 zenon_H91 zenon_H90 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H46 zenon_H174 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hf. zenon_intro zenon_Hc3. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H9e. zenon_intro zenon_Hc4. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H9f. zenon_intro zenon_Ha8. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.21/1.41 apply (zenon_L386_); trivial. % 1.21/1.41 apply (zenon_L161_); trivial. % 1.21/1.41 (* end of lemma zenon_L533_ *) % 1.21/1.41 assert (zenon_L534_ : ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> (~(hskp19)) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (ndr1_0) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> (~(hskp18)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> False). % 1.21/1.41 do 0 intro. intros zenon_Hbf zenon_H66 zenon_Hc1 zenon_Hb1 zenon_H92 zenon_H91 zenon_H90 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H46 zenon_H174 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H2be zenon_H23e zenon_H184 zenon_H186 zenon_H185 zenon_Hf zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H100 zenon_H102. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H99 | zenon_intro zenon_Hc2 ]. % 1.21/1.41 apply (zenon_L405_); trivial. % 1.21/1.41 apply (zenon_L533_); trivial. % 1.21/1.41 (* end of lemma zenon_L534_ *) % 1.21/1.41 assert (zenon_L535_ : ((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(c0_1 (a604))) -> (c3_1 (a604)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (~(hskp18)) -> False). % 1.21/1.41 do 0 intro. intros zenon_H251 zenon_H24f zenon_H90 zenon_H92 zenon_H102 zenon_H184 zenon_H186 zenon_H185 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H100. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_Hf. zenon_intro zenon_H252. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H248. zenon_intro zenon_H253. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H246. zenon_intro zenon_H247. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.21/1.41 apply (zenon_L227_); trivial. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.21/1.41 apply (zenon_L70_); trivial. % 1.21/1.41 apply (zenon_L498_); trivial. % 1.21/1.41 (* end of lemma zenon_L535_ *) % 1.21/1.41 assert (zenon_L536_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (ndr1_0) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H254 zenon_H24f zenon_H102 zenon_H100 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_Hf zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H174 zenon_H46 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H90 zenon_H91 zenon_H92 zenon_Hb1 zenon_Hc1 zenon_H66 zenon_Hbf. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H23e | zenon_intro zenon_H251 ]. % 1.21/1.41 apply (zenon_L534_); trivial. % 1.21/1.41 apply (zenon_L535_); trivial. % 1.21/1.41 (* end of lemma zenon_L536_ *) % 1.21/1.41 assert (zenon_L537_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (ndr1_0) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H12c zenon_H8a zenon_Hc0 zenon_H123 zenon_Ha zenon_H1eb zenon_H1c3 zenon_Hcc zenon_Hcb zenon_Hca zenon_H142 zenon_H1c8 zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_Hbf zenon_H66 zenon_Hc1 zenon_Hb1 zenon_H92 zenon_H91 zenon_H90 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H46 zenon_H174 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H2be zenon_H184 zenon_H186 zenon_H185 zenon_Hf zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H102 zenon_H24f zenon_H254. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.41 apply (zenon_L536_); trivial. % 1.21/1.41 apply (zenon_L532_); trivial. % 1.21/1.41 (* end of lemma zenon_L537_ *) % 1.21/1.41 assert (zenon_L538_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H194 zenon_H1e1 zenon_H8e zenon_H6a zenon_H5f zenon_H62 zenon_H54 zenon_H28d zenon_H274 zenon_H30 zenon_H254 zenon_H24f zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H174 zenon_H46 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_Hb1 zenon_Hc1 zenon_H66 zenon_Hbf zenon_H1c8 zenon_H142 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1c3 zenon_H1eb zenon_H123 zenon_Hc0 zenon_H102 zenon_H15e zenon_H15f zenon_H160 zenon_H185 zenon_H186 zenon_H184 zenon_H85 zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H8a zenon_H12c. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.21/1.41 apply (zenon_L488_); trivial. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.41 apply (zenon_L537_); trivial. % 1.21/1.41 apply (zenon_L530_); trivial. % 1.21/1.41 (* end of lemma zenon_L538_ *) % 1.21/1.41 assert (zenon_L539_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H1e2 zenon_H198 zenon_H102 zenon_H85 zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H8a zenon_H12c zenon_H30 zenon_H192 zenon_H186 zenon_H185 zenon_H184 zenon_H176 zenon_H177 zenon_H178 zenon_H1e7 zenon_H1ac zenon_H1a5 zenon_H142 zenon_H1c8 zenon_Hb1 zenon_Hc1 zenon_H1e1. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.21/1.41 apply (zenon_L203_); trivial. % 1.21/1.41 apply (zenon_L489_); trivial. % 1.21/1.41 (* end of lemma zenon_L539_ *) % 1.21/1.41 assert (zenon_L540_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> (c3_1 (a599)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((hskp29)\/((hskp7)\/(hskp17))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_Hc6 zenon_H8e zenon_Hcc zenon_H254 zenon_H144 zenon_H8 zenon_H142 zenon_H77 zenon_H40 zenon_H6e zenon_H6d zenon_H6c zenon_H242 zenon_H240 zenon_H22c zenon_H22b zenon_H102 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H24f zenon_H8a zenon_Hc zenon_H123 zenon_Hcb zenon_Hca zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30 zenon_H12c. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.41 apply (zenon_L455_); trivial. % 1.21/1.41 apply (zenon_L271_); trivial. % 1.21/1.41 apply (zenon_L274_); trivial. % 1.21/1.41 (* end of lemma zenon_L540_ *) % 1.21/1.41 assert (zenon_L541_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp7)\/(hskp20))) -> ((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c1_1 (a601))) -> (~(c2_1 (a601))) -> (~(c0_1 (a601))) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> (~(hskp8)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> ((hskp29)\/((hskp7)\/(hskp17))) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_Hc6 zenon_H8e zenon_Hbf zenon_H6a zenon_H265 zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H54 zenon_H5f zenon_H62 zenon_H66 zenon_H13c zenon_He9 zenon_H8a zenon_H24f zenon_H1eb zenon_Hcc zenon_Hcb zenon_Hca zenon_H259 zenon_H258 zenon_H257 zenon_H22c zenon_H22b zenon_H102 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H104 zenon_H6c zenon_H6d zenon_H6e zenon_H40 zenon_H77 zenon_Hc zenon_H8 zenon_H123 zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H142 zenon_H144 zenon_H30 zenon_H12c. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.41 apply (zenon_L458_); trivial. % 1.21/1.41 apply (zenon_L271_); trivial. % 1.21/1.41 apply (zenon_L394_); trivial. % 1.21/1.41 (* end of lemma zenon_L541_ *) % 1.21/1.41 assert (zenon_L542_ : ((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/((hskp0)\/(hskp11))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H19c zenon_H19b zenon_H1c8 zenon_H142 zenon_H22b zenon_H22c zenon_H237 zenon_H104 zenon_H276 zenon_H277 zenon_H278 zenon_H27f zenon_H281. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.21/1.41 apply (zenon_L267_); trivial. % 1.21/1.41 apply (zenon_L243_); trivial. % 1.21/1.41 (* end of lemma zenon_L542_ *) % 1.21/1.41 assert (zenon_L543_ : ((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (~(hskp18)) -> False). % 1.21/1.41 do 0 intro. intros zenon_H251 zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H102 zenon_H184 zenon_H186 zenon_H185 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H100. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_Hf. zenon_intro zenon_H252. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H248. zenon_intro zenon_H253. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H246. zenon_intro zenon_H247. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.21/1.41 apply (zenon_L227_); trivial. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.21/1.41 apply (zenon_L226_); trivial. % 1.21/1.41 apply (zenon_L498_); trivial. % 1.21/1.41 (* end of lemma zenon_L543_ *) % 1.21/1.41 assert (zenon_L544_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> (c3_1 (a599)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> (c3_1 (a590)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((hskp29)\/((hskp7)\/(hskp17))) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_Hc6 zenon_H8e zenon_Hcc zenon_H254 zenon_H237 zenon_H242 zenon_H240 zenon_H22c zenon_H22b zenon_H102 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H184 zenon_H186 zenon_H185 zenon_H24f zenon_Hc zenon_H8 zenon_H123 zenon_Hcb zenon_Hca zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H142 zenon_H144 zenon_H30 zenon_H12c. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H23e | zenon_intro zenon_H251 ]. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.21/1.41 apply (zenon_L225_); trivial. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.21/1.41 apply (zenon_L70_); trivial. % 1.21/1.41 apply (zenon_L498_); trivial. % 1.21/1.41 apply (zenon_L543_); trivial. % 1.21/1.41 apply (zenon_L271_); trivial. % 1.21/1.41 apply (zenon_L274_); trivial. % 1.21/1.41 (* end of lemma zenon_L544_ *) % 1.21/1.41 assert (zenon_L545_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp23)) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16))))) -> (~(c0_1 (a601))) -> (~(c2_1 (a601))) -> (~(c1_1 (a601))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (ndr1_0) -> (~(hskp17)) -> False). % 1.21/1.41 do 0 intro. intros zenon_H123 zenon_H2e zenon_H184 zenon_H185 zenon_H186 zenon_Hf5 zenon_H257 zenon_H258 zenon_H259 zenon_H54 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Hf zenon_Ha. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10a | zenon_intro zenon_H124 ]. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H4a | zenon_intro zenon_H55 ]. % 1.21/1.41 apply (zenon_L233_); trivial. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H55); [ zenon_intro zenon_H56 | zenon_intro zenon_H2f ]. % 1.21/1.41 apply (zenon_L398_); trivial. % 1.21/1.41 exact (zenon_H2e zenon_H2f). % 1.21/1.41 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H11f | zenon_intro zenon_Hb ]. % 1.21/1.41 apply (zenon_L385_); trivial. % 1.21/1.41 exact (zenon_Ha zenon_Hb). % 1.21/1.41 (* end of lemma zenon_L545_ *) % 1.21/1.41 assert (zenon_L546_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (ndr1_0) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c0_1 (a604))) -> (c3_1 (a604)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(c1_1 (a601))) -> (~(c2_1 (a601))) -> (~(c0_1 (a601))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H254 zenon_H24f zenon_H102 zenon_H100 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_Hf zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H104 zenon_Hcc zenon_Hcb zenon_Hca zenon_H90 zenon_H92 zenon_H54 zenon_H259 zenon_H258 zenon_H257 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_Ha zenon_H123 zenon_H265 zenon_H5f zenon_H62 zenon_H66 zenon_H6a zenon_Hbf. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H23e | zenon_intro zenon_H251 ]. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H99 | zenon_intro zenon_Hc2 ]. % 1.21/1.41 apply (zenon_L405_); trivial. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hf. zenon_intro zenon_Hc3. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H9e. zenon_intro zenon_Hc4. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H9f. zenon_intro zenon_Ha8. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H105 ]. % 1.21/1.41 apply (zenon_L545_); trivial. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hec | zenon_intro zenon_Hc9 ]. % 1.21/1.41 apply (zenon_L70_); trivial. % 1.21/1.41 apply (zenon_L51_); trivial. % 1.21/1.41 apply (zenon_L237_); trivial. % 1.21/1.41 apply (zenon_L535_); trivial. % 1.21/1.41 (* end of lemma zenon_L546_ *) % 1.21/1.41 assert (zenon_L547_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(c1_1 (a601))) -> (~(c2_1 (a601))) -> (~(c0_1 (a601))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((hskp29)\/((hskp7)\/(hskp17))) -> (~(hskp7)) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_Hc6 zenon_H8e zenon_H140 zenon_H9b zenon_H254 zenon_H24f zenon_H102 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H104 zenon_Hcc zenon_Hcb zenon_Hca zenon_H54 zenon_H259 zenon_H258 zenon_H257 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H265 zenon_H5f zenon_H62 zenon_H66 zenon_H6a zenon_Hbf zenon_Hc zenon_H8 zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H142 zenon_H144 zenon_H30 zenon_H12c. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.41 apply (zenon_L546_); trivial. % 1.21/1.41 apply (zenon_L271_); trivial. % 1.21/1.41 apply (zenon_L389_); trivial. % 1.21/1.41 (* end of lemma zenon_L547_ *) % 1.21/1.41 assert (zenon_L548_ : ((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((hskp29)\/((hskp7)\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H2c5 zenon_H198 zenon_H1e1 zenon_H9b zenon_H24f zenon_H104 zenon_H54 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H265 zenon_H5f zenon_H62 zenon_H6a zenon_H12c zenon_H274 zenon_H278 zenon_H277 zenon_H276 zenon_H123 zenon_Hbf zenon_H66 zenon_H30 zenon_H1c zenon_H1a zenon_H85 zenon_Hc zenon_H140 zenon_H2be zenon_H102 zenon_H254 zenon_H8e zenon_H192 zenon_Hcc zenon_Hcb zenon_Hca zenon_H186 zenon_H185 zenon_H184 zenon_H142 zenon_H8 zenon_H144. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.21/1.41 apply (zenon_L124_); trivial. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.21/1.41 apply (zenon_L484_); trivial. % 1.21/1.41 apply (zenon_L547_); trivial. % 1.21/1.41 (* end of lemma zenon_L548_ *) % 1.21/1.41 assert (zenon_L549_ : ((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((hskp29)\/((hskp7)\/(hskp17))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H2c5 zenon_H198 zenon_H1e1 zenon_H8e zenon_H140 zenon_H9b zenon_H254 zenon_H24f zenon_H2be zenon_H104 zenon_H54 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H265 zenon_H5f zenon_H62 zenon_H66 zenon_H6a zenon_Hbf zenon_Hc zenon_H274 zenon_H30 zenon_H102 zenon_H15e zenon_H15f zenon_H160 zenon_H85 zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H8a zenon_H12c zenon_H192 zenon_Hcc zenon_Hcb zenon_Hca zenon_H186 zenon_H185 zenon_H184 zenon_H142 zenon_H8 zenon_H144. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.21/1.41 apply (zenon_L124_); trivial. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.21/1.41 apply (zenon_L488_); trivial. % 1.21/1.41 apply (zenon_L547_); trivial. % 1.21/1.41 (* end of lemma zenon_L549_ *) % 1.21/1.41 assert (zenon_L550_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> (~(hskp26)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (ndr1_0) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H8a zenon_H1c8 zenon_H142 zenon_He4 zenon_Hd7 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H1 zenon_H140 zenon_H123 zenon_Ha zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_Hca zenon_Hcb zenon_Hcc zenon_H1eb zenon_H22b zenon_H22c zenon_H237 zenon_H24f zenon_Hf zenon_H10b zenon_H10c zenon_H114 zenon_H276 zenon_H277 zenon_H278 zenon_H285. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.21/1.41 apply (zenon_L278_); trivial. % 1.21/1.41 apply (zenon_L462_); trivial. % 1.21/1.41 (* end of lemma zenon_L550_ *) % 1.21/1.41 assert (zenon_L551_ : ((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c1_1 (a651))) -> (~(c3_1 (a651))) -> (c2_1 (a651)) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H61 zenon_Hc0 zenon_H1c zenon_H1a zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_H142 zenon_H1c8. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_Hf. zenon_intro zenon_H63. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H11. zenon_intro zenon_H64. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.21/1.41 apply (zenon_L447_); trivial. % 1.21/1.41 apply (zenon_L48_); trivial. % 1.21/1.41 (* end of lemma zenon_L551_ *) % 1.21/1.41 assert (zenon_L552_ : ((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H1dd zenon_H66 zenon_Hc0 zenon_H1c zenon_H1a zenon_H1c3 zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H114 zenon_H10c zenon_H10b zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H1eb zenon_Hcc zenon_Hcb zenon_Hca zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_Ha zenon_H123 zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Hd7 zenon_He4 zenon_H142 zenon_H1c8 zenon_H8a. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_Hf. zenon_intro zenon_H1de. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d6. zenon_intro zenon_H1df. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.21/1.41 apply (zenon_L550_); trivial. % 1.21/1.41 apply (zenon_L551_); trivial. % 1.21/1.41 (* end of lemma zenon_L552_ *) % 1.21/1.41 assert (zenon_L553_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/((hskp15)\/(hskp25))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H127 zenon_H1e0 zenon_H66 zenon_Hc0 zenon_H1c zenon_H1a zenon_H1c3 zenon_H285 zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H1eb zenon_Hcc zenon_Hcb zenon_Hca zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_Ha zenon_H123 zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Hd7 zenon_He4 zenon_H142 zenon_H1c8 zenon_H8a zenon_H276 zenon_H277 zenon_H278 zenon_H83 zenon_H283. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ]. % 1.21/1.41 apply (zenon_L268_); trivial. % 1.21/1.41 apply (zenon_L552_); trivial. % 1.21/1.41 (* end of lemma zenon_L553_ *) % 1.21/1.41 assert (zenon_L554_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> (~(hskp15)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/((hskp15)\/(hskp25))) -> (ndr1_0) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H12c zenon_H1e0 zenon_H66 zenon_Hc0 zenon_H1c zenon_H1a zenon_H1c3 zenon_H285 zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H1eb zenon_Hcc zenon_Hcb zenon_Hca zenon_Ha zenon_H123 zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Hd7 zenon_He4 zenon_H142 zenon_H1c8 zenon_H8a zenon_H276 zenon_H277 zenon_H278 zenon_H83 zenon_H283 zenon_Hf zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H40 zenon_H1b5. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.41 apply (zenon_L135_); trivial. % 1.21/1.41 apply (zenon_L553_); trivial. % 1.21/1.41 (* end of lemma zenon_L554_ *) % 1.21/1.41 assert (zenon_L555_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H127 zenon_H8a zenon_Hc0 zenon_H24f zenon_H1a zenon_H1c zenon_H4b zenon_H4c zenon_H4d zenon_Hca zenon_Hcb zenon_Hcc zenon_H274 zenon_H6c zenon_H6d zenon_H6e zenon_H1ba zenon_H276 zenon_H277 zenon_H278 zenon_H285. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.21/1.41 apply (zenon_L278_); trivial. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.21/1.41 apply (zenon_L137_); trivial. % 1.21/1.41 apply (zenon_L501_); trivial. % 1.21/1.41 (* end of lemma zenon_L555_ *) % 1.21/1.41 assert (zenon_L556_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H8b zenon_H12c zenon_H8a zenon_Hc0 zenon_H24f zenon_H1a zenon_H1c zenon_Hca zenon_Hcb zenon_Hcc zenon_H6c zenon_H6d zenon_H6e zenon_H1ba zenon_H285 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.41 apply (zenon_L296_); trivial. % 1.21/1.41 apply (zenon_L555_); trivial. % 1.21/1.41 (* end of lemma zenon_L556_ *) % 1.21/1.41 assert (zenon_L557_ : ((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H87 zenon_H24f zenon_Hcc zenon_Hcb zenon_Hca zenon_H276 zenon_H277 zenon_H278 zenon_H4b zenon_H4c zenon_H4d zenon_H274 zenon_H237 zenon_H22c zenon_H22b. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.21/1.41 apply (zenon_L273_); trivial. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.21/1.41 apply (zenon_L226_); trivial. % 1.21/1.41 apply (zenon_L31_); trivial. % 1.21/1.41 (* end of lemma zenon_L557_ *) % 1.21/1.41 assert (zenon_L558_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H127 zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H4b zenon_H4c zenon_H4d zenon_Hca zenon_Hcb zenon_Hcc zenon_H274 zenon_H276 zenon_H277 zenon_H278 zenon_H285. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.21/1.41 apply (zenon_L278_); trivial. % 1.21/1.41 apply (zenon_L557_); trivial. % 1.21/1.41 (* end of lemma zenon_L558_ *) % 1.21/1.41 assert (zenon_L559_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H8b zenon_H12c zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_Hca zenon_Hcb zenon_Hcc zenon_H285 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.41 apply (zenon_L296_); trivial. % 1.21/1.41 apply (zenon_L558_); trivial. % 1.21/1.41 (* end of lemma zenon_L559_ *) % 1.21/1.41 assert (zenon_L560_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (ndr1_0) -> (~(hskp18)) -> False). % 1.21/1.41 do 0 intro. intros zenon_H24f zenon_H6e zenon_H6d zenon_H6c zenon_Hca zenon_Hcb zenon_Hcc zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H155 zenon_H237 zenon_H22c zenon_H22b zenon_H102 zenon_H184 zenon_H186 zenon_H185 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_Hf zenon_H100. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.21/1.41 apply (zenon_L150_); trivial. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.21/1.41 apply (zenon_L226_); trivial. % 1.21/1.41 apply (zenon_L498_); trivial. % 1.21/1.41 (* end of lemma zenon_L560_ *) % 1.21/1.41 assert (zenon_L561_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c1_1 (a604)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (ndr1_0) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (c3_1 (a604)) -> (~(c0_1 (a604))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H12c zenon_H8a zenon_Hc1 zenon_Hb1 zenon_H91 zenon_H123 zenon_Ha zenon_H1eb zenon_H22b zenon_H22c zenon_H237 zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H155 zenon_H6e zenon_H6d zenon_H6c zenon_Hcc zenon_Hcb zenon_Hca zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_Hf zenon_H102 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H92 zenon_H90 zenon_H184 zenon_H186 zenon_H185 zenon_H24f. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.41 apply (zenon_L525_); trivial. % 1.21/1.41 apply (zenon_L313_); trivial. % 1.21/1.41 (* end of lemma zenon_L561_ *) % 1.21/1.41 assert (zenon_L562_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_Hc6 zenon_H8e zenon_H1c8 zenon_H142 zenon_H28d zenon_H274 zenon_H30 zenon_H24f zenon_H185 zenon_H186 zenon_H184 zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H102 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_Hca zenon_Hcb zenon_Hcc zenon_H6c zenon_H6d zenon_H6e zenon_H155 zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H237 zenon_H22c zenon_H22b zenon_H1eb zenon_H123 zenon_Hb1 zenon_Hc1 zenon_H8a zenon_H12c. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.41 apply (zenon_L561_); trivial. % 1.21/1.41 apply (zenon_L559_); trivial. % 1.21/1.41 (* end of lemma zenon_L562_ *) % 1.21/1.41 assert (zenon_L563_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_Hc6 zenon_H8e zenon_H6a zenon_Hc0 zenon_H5f zenon_H62 zenon_H1c3 zenon_Hd5 zenon_H274 zenon_H30 zenon_H192 zenon_Hd3 zenon_H186 zenon_H185 zenon_H184 zenon_H28d zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_H142 zenon_H1c8 zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H1eb zenon_Hcc zenon_Hcb zenon_Hca zenon_H123 zenon_Hb1 zenon_Hc1 zenon_H8a zenon_H12c. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.41 apply (zenon_L505_); trivial. % 1.21/1.41 apply (zenon_L313_); trivial. % 1.21/1.41 apply (zenon_L300_); trivial. % 1.21/1.41 (* end of lemma zenon_L563_ *) % 1.21/1.41 assert (zenon_L564_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (ndr1_0) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_H12c zenon_H8a zenon_H85 zenon_H83 zenon_H160 zenon_H15f zenon_H15e zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H155 zenon_H6e zenon_H6d zenon_H6c zenon_Hcc zenon_Hcb zenon_Hca zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_Hf zenon_H22b zenon_H22c zenon_H237 zenon_H102 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H184 zenon_H186 zenon_H185 zenon_H24f. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.41 apply (zenon_L560_); trivial. % 1.21/1.41 apply (zenon_L284_); trivial. % 1.21/1.41 (* end of lemma zenon_L564_ *) % 1.21/1.41 assert (zenon_L565_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp2)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp8)\/(hskp6))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c1_1 (a603))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> (~(hskp7)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.21/1.41 do 0 intro. intros zenon_Hc6 zenon_H13b zenon_H1e0 zenon_H144 zenon_H142 zenon_H1d2 zenon_H12c zenon_H128 zenon_H125 zenon_H44 zenon_H40 zenon_H123 zenon_H222 zenon_H42 zenon_H299 zenon_H298 zenon_H297 zenon_H155 zenon_Hd7 zenon_Hd8 zenon_H107 zenon_Hcc zenon_Hcb zenon_Hca zenon_He4 zenon_H102 zenon_H159 zenon_H9b zenon_H8 zenon_H66 zenon_H62 zenon_H5f zenon_H54 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H265 zenon_H6a zenon_Hbf zenon_H8e. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.21/1.41 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.41 apply (zenon_L331_); trivial. % 1.21/1.41 apply (zenon_L389_); trivial. % 1.21/1.41 apply (zenon_L336_); trivial. % 1.21/1.41 (* end of lemma zenon_L565_ *) % 1.21/1.41 assert (zenon_L566_ : ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (c2_1 (a651)) -> (~(c1_1 (a651))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c3_1 (a651))) -> (ndr1_0) -> (~(hskp1)) -> False). % 1.21/1.41 do 0 intro. intros zenon_Hf9 zenon_H299 zenon_H298 zenon_H297 zenon_H1d6 zenon_H1d4 zenon_H119 zenon_H1d5 zenon_Hf zenon_Hb1. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H9d | zenon_intro zenon_Hfa ]. % 1.21/1.41 apply (zenon_L320_); trivial. % 1.21/1.41 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6b | zenon_intro zenon_Hb2 ]. % 1.21/1.41 apply (zenon_L332_); trivial. % 1.21/1.41 exact (zenon_Hb1 zenon_Hb2). % 1.21/1.41 (* end of lemma zenon_L566_ *) % 1.21/1.41 assert (zenon_L567_ : ((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp1)) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp5)) -> (~(hskp6)) -> False). % 1.21/1.41 do 0 intro. intros zenon_H1dd zenon_H128 zenon_Hb1 zenon_H297 zenon_H298 zenon_H299 zenon_Hf9 zenon_H125 zenon_H42. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_Hf. zenon_intro zenon_H1de. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d6. zenon_intro zenon_H1df. % 1.21/1.41 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H119 | zenon_intro zenon_H12b ]. % 1.21/1.41 apply (zenon_L566_); trivial. % 1.21/1.41 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H126 | zenon_intro zenon_H43 ]. % 1.21/1.42 exact (zenon_H125 zenon_H126). % 1.21/1.42 exact (zenon_H42 zenon_H43). % 1.21/1.42 (* end of lemma zenon_L567_ *) % 1.21/1.42 assert (zenon_L568_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp9)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> False). % 1.21/1.42 do 0 intro. intros zenon_H137 zenon_H1e0 zenon_H128 zenon_H42 zenon_H125 zenon_H297 zenon_H298 zenon_H299 zenon_Hb1 zenon_Hf9 zenon_H5f zenon_H1d2. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ]. % 1.21/1.42 apply (zenon_L156_); trivial. % 1.21/1.42 apply (zenon_L567_); trivial. % 1.21/1.42 (* end of lemma zenon_L568_ *) % 1.21/1.42 assert (zenon_L569_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> (~(hskp7)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (ndr1_0) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (~(hskp16)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> False). % 1.21/1.42 do 0 intro. intros zenon_H8e zenon_Hbf zenon_H6a zenon_H265 zenon_H140 zenon_H54 zenon_H5f zenon_H62 zenon_H66 zenon_H8 zenon_H9b zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Hf zenon_H184 zenon_H185 zenon_H186 zenon_H125 zenon_H1f6 zenon_H90 zenon_H91 zenon_H92 zenon_Hfb zenon_H203 zenon_H207. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.42 apply (zenon_L443_); trivial. % 1.21/1.42 apply (zenon_L389_); trivial. % 1.21/1.42 (* end of lemma zenon_L569_ *) % 1.21/1.42 assert (zenon_L570_ : ((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp17)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> False). % 1.21/1.42 do 0 intro. intros zenon_H32 zenon_H106 zenon_Ha zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H274 zenon_H114 zenon_H10c zenon_H10b zenon_H12f zenon_H130 zenon_H12e zenon_H123 zenon_H92 zenon_H91 zenon_H90 zenon_H297 zenon_H298 zenon_H299. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hf. zenon_intro zenon_H33. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H1f. zenon_intro zenon_H34. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H108 ]. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10a | zenon_intro zenon_H124 ]. % 1.21/1.42 apply (zenon_L516_); trivial. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H11f | zenon_intro zenon_Hb ]. % 1.21/1.42 apply (zenon_L385_); trivial. % 1.21/1.42 exact (zenon_Ha zenon_Hb). % 1.21/1.42 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H8f | zenon_intro zenon_H9d ]. % 1.21/1.42 apply (zenon_L39_); trivial. % 1.21/1.42 apply (zenon_L320_); trivial. % 1.21/1.42 (* end of lemma zenon_L570_ *) % 1.21/1.42 assert (zenon_L571_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp7)) -> (~(hskp17)) -> ((hskp29)\/((hskp7)\/(hskp17))) -> False). % 1.21/1.42 do 0 intro. intros zenon_H127 zenon_H30 zenon_H106 zenon_H299 zenon_H298 zenon_H297 zenon_H92 zenon_H91 zenon_H90 zenon_H274 zenon_H12f zenon_H130 zenon_H12e zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H8 zenon_Ha zenon_Hc. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.21/1.42 apply (zenon_L7_); trivial. % 1.21/1.42 apply (zenon_L570_); trivial. % 1.21/1.42 (* end of lemma zenon_L571_ *) % 1.21/1.42 assert (zenon_L572_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp16)) -> (~(c3_1 (a648))) -> (c0_1 (a648)) -> (c1_1 (a648)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (~(hskp23)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (c2_1 (a599)) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c1_1 (a599))) -> (ndr1_0) -> (~(hskp17)) -> False). % 1.21/1.42 do 0 intro. intros zenon_H123 zenon_Hfb zenon_H1f9 zenon_H1fa zenon_H1fb zenon_H54 zenon_H114 zenon_H10c zenon_H10b zenon_H186 zenon_H185 zenon_H184 zenon_H2e zenon_H203 zenon_Hcb zenon_H119 zenon_Hca zenon_Hf zenon_Ha. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10a | zenon_intro zenon_H124 ]. % 1.21/1.42 apply (zenon_L411_); trivial. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H11f | zenon_intro zenon_Hb ]. % 1.21/1.42 apply (zenon_L78_); trivial. % 1.21/1.42 exact (zenon_Ha zenon_Hb). % 1.21/1.42 (* end of lemma zenon_L572_ *) % 1.21/1.42 assert (zenon_L573_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> (~(hskp23)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (ndr1_0) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.21/1.42 do 0 intro. intros zenon_H207 zenon_H128 zenon_H42 zenon_H203 zenon_Hfb zenon_H10b zenon_H10c zenon_H114 zenon_H2e zenon_H54 zenon_Hca zenon_Hcb zenon_H1f6 zenon_H125 zenon_H186 zenon_H185 zenon_H184 zenon_Hf zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_Ha zenon_H123. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H202 ]. % 1.21/1.42 apply (zenon_L400_); trivial. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_Hf. zenon_intro zenon_H204. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1fa. zenon_intro zenon_H205. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H205). zenon_intro zenon_H1fb. zenon_intro zenon_H1f9. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H119 | zenon_intro zenon_H12b ]. % 1.21/1.42 apply (zenon_L572_); trivial. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H126 | zenon_intro zenon_H43 ]. % 1.21/1.42 exact (zenon_H125 zenon_H126). % 1.21/1.42 exact (zenon_H42 zenon_H43). % 1.21/1.42 (* end of lemma zenon_L573_ *) % 1.21/1.42 assert (zenon_L574_ : ((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c0_1 (a633))) -> (~(c3_1 (a633))) -> (c1_1 (a633)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c0_1 (a604))) -> (c3_1 (a604)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (~(hskp18)) -> False). % 1.21/1.42 do 0 intro. intros zenon_H1dd zenon_H24f zenon_Hca zenon_Hcb zenon_Hcc zenon_H14b zenon_H14c zenon_H14d zenon_H155 zenon_H90 zenon_H92 zenon_H102 zenon_H184 zenon_H186 zenon_H185 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H100. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_Hf. zenon_intro zenon_H1de. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d6. zenon_intro zenon_H1df. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.21/1.42 apply (zenon_L333_); trivial. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.21/1.42 apply (zenon_L70_); trivial. % 1.21/1.42 apply (zenon_L498_); trivial. % 1.21/1.42 (* end of lemma zenon_L574_ *) % 1.21/1.42 assert (zenon_L575_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c1_1 (a604)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp7)) -> (~(hskp17)) -> ((hskp29)\/((hskp7)\/(hskp17))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (ndr1_0) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> (~(c2_1 (a606))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (c3_1 (a604)) -> (~(c0_1 (a604))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> False). % 1.21/1.42 do 0 intro. intros zenon_H12c zenon_H30 zenon_H106 zenon_H91 zenon_H274 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H8 zenon_Ha zenon_Hc zenon_H222 zenon_H42 zenon_H299 zenon_H298 zenon_H297 zenon_Hf zenon_H1d2 zenon_H5f zenon_H130 zenon_H12f zenon_H12e zenon_H155 zenon_Hcc zenon_Hcb zenon_Hca zenon_H102 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H92 zenon_H90 zenon_H184 zenon_H186 zenon_H185 zenon_H24f zenon_H1e0 zenon_H159. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H146 | zenon_intro zenon_H154 ]. % 1.21/1.42 apply (zenon_L324_); trivial. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_Hf. zenon_intro zenon_H156. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14d. zenon_intro zenon_H157. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ]. % 1.21/1.42 apply (zenon_L156_); trivial. % 1.21/1.42 apply (zenon_L574_); trivial. % 1.21/1.42 apply (zenon_L571_); trivial. % 1.21/1.42 (* end of lemma zenon_L575_ *) % 1.21/1.42 assert (zenon_L576_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> (~(c0_1 (a604))) -> (c3_1 (a604)) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(hskp9)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> ((hskp29)\/((hskp7)\/(hskp17))) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c1_1 (a604)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.21/1.42 do 0 intro. intros zenon_H137 zenon_H8e zenon_Hbf zenon_H6a zenon_H265 zenon_H140 zenon_H54 zenon_H62 zenon_H66 zenon_H9b zenon_H159 zenon_H1e0 zenon_H24f zenon_H185 zenon_H186 zenon_H184 zenon_H90 zenon_H92 zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H102 zenon_Hca zenon_Hcb zenon_Hcc zenon_H155 zenon_H5f zenon_H1d2 zenon_H297 zenon_H298 zenon_H299 zenon_H42 zenon_H222 zenon_Hc zenon_H8 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H274 zenon_H91 zenon_H106 zenon_H30 zenon_H12c. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.42 apply (zenon_L575_); trivial. % 1.21/1.42 apply (zenon_L389_); trivial. % 1.21/1.42 (* end of lemma zenon_L576_ *) % 1.21/1.42 assert (zenon_L577_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> ((hskp29)\/((hskp7)\/(hskp17))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> (~(hskp7)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.21/1.42 do 0 intro. intros zenon_Hc6 zenon_H13b zenon_H159 zenon_H1e0 zenon_H24f zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H102 zenon_Hca zenon_Hcb zenon_Hcc zenon_H155 zenon_H1d2 zenon_H297 zenon_H298 zenon_H299 zenon_H42 zenon_H222 zenon_Hc zenon_H274 zenon_H106 zenon_H30 zenon_H12c zenon_H207 zenon_H203 zenon_H1f6 zenon_H125 zenon_H186 zenon_H185 zenon_H184 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H9b zenon_H8 zenon_H66 zenon_H62 zenon_H5f zenon_H54 zenon_H140 zenon_H265 zenon_H6a zenon_Hbf zenon_H8e. % 1.21/1.42 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.21/1.42 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.21/1.42 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.21/1.42 apply (zenon_L569_); trivial. % 1.21/1.42 apply (zenon_L576_); trivial. % 1.21/1.42 (* end of lemma zenon_L577_ *) % 1.21/1.42 assert (zenon_L578_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp2)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (ndr1_0) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> (~(hskp15)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> (~(hskp7)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp26)\/(hskp28))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (c0_1 (a603)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp7)\/(hskp20))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.21/1.42 do 0 intro. intros zenon_H13b zenon_H159 zenon_H1e0 zenon_H144 zenon_H142 zenon_Hca zenon_Hcb zenon_Hcc zenon_H155 zenon_H1d2 zenon_H297 zenon_H298 zenon_H299 zenon_H42 zenon_H222 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Hf zenon_H15e zenon_H15f zenon_H160 zenon_H185 zenon_H186 zenon_H184 zenon_H83 zenon_H85 zenon_H6a zenon_H9b zenon_H8 zenon_H2c0 zenon_H107 zenon_Hd8 zenon_H13c zenon_Hc0 zenon_H66 zenon_H62 zenon_H5f zenon_H54 zenon_H1f6 zenon_H125 zenon_H140 zenon_Hd7 zenon_He4 zenon_H287 zenon_H203 zenon_H207 zenon_H265 zenon_Hbf zenon_H8e. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.21/1.42 apply (zenon_L433_); trivial. % 1.21/1.42 apply (zenon_L336_); trivial. % 1.21/1.42 (* end of lemma zenon_L578_ *) % 1.21/1.42 assert (zenon_L579_ : ((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp12)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp11)) -> (~(hskp15)) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp15)\/(hskp11))) -> (~(hskp1)) -> False). % 1.21/1.42 do 0 intro. intros zenon_H61 zenon_Hc1 zenon_H46 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H174 zenon_H3 zenon_H83 zenon_H184 zenon_H185 zenon_H186 zenon_H220 zenon_Hb1. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_Hf. zenon_intro zenon_H63. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H11. zenon_intro zenon_H64. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.21/1.42 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hc5 ]. % 1.21/1.42 apply (zenon_L132_); trivial. % 1.21/1.42 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H8f | zenon_intro zenon_Hb2 ]. % 1.21/1.42 apply (zenon_L197_); trivial. % 1.21/1.42 exact (zenon_Hb1 zenon_Hb2). % 1.21/1.42 (* end of lemma zenon_L579_ *) % 1.21/1.42 assert (zenon_L580_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp11)) -> ((hskp26)\/(hskp11)) -> False). % 1.21/1.42 do 0 intro. intros zenon_Hc6 zenon_H66 zenon_Hc1 zenon_Hb1 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H46 zenon_H174 zenon_H3 zenon_H5. % 1.21/1.42 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.21/1.42 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.21/1.42 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.21/1.42 apply (zenon_L3_); trivial. % 1.21/1.42 apply (zenon_L161_); trivial. % 1.21/1.42 (* end of lemma zenon_L580_ *) % 1.21/1.42 assert (zenon_L581_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp15)\/(hskp11))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp11)) -> ((hskp26)\/(hskp11)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> False). % 1.21/1.42 do 0 intro. intros zenon_H1bf zenon_Hf9 zenon_H299 zenon_H298 zenon_H297 zenon_H66 zenon_Hc1 zenon_Hb1 zenon_H184 zenon_H185 zenon_H186 zenon_H220 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H174 zenon_H3 zenon_H5 zenon_H1e1. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.21/1.42 apply (zenon_L3_); trivial. % 1.21/1.42 apply (zenon_L579_); trivial. % 1.21/1.42 apply (zenon_L580_); trivial. % 1.21/1.42 apply (zenon_L322_); trivial. % 1.21/1.42 (* end of lemma zenon_L581_ *) % 1.21/1.42 assert (zenon_L582_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp6)) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c3_1 (a599)) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp17)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp26)) -> (ndr1_0) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (~(hskp2)) -> False). % 1.21/1.42 do 0 intro. intros zenon_H1c8 zenon_H42 zenon_H125 zenon_H123 zenon_Hcc zenon_H10b zenon_H10c zenon_H114 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H1eb zenon_Hcb zenon_Hca zenon_Ha zenon_H128 zenon_H1 zenon_Hf zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_He4 zenon_Hd7 zenon_H140 zenon_H142. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1c9 ]. % 1.21/1.42 apply (zenon_L353_); trivial. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H143 ]. % 1.21/1.42 apply (zenon_L419_); trivial. % 1.21/1.42 exact (zenon_H142 zenon_H143). % 1.21/1.42 (* end of lemma zenon_L582_ *) % 1.21/1.42 assert (zenon_L583_ : ((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (c3_1 (a636)) -> (~(c1_1 (a636))) -> (~(c0_1 (a636))) -> (~(hskp16)) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c0_1 (a633))) -> (~(c3_1 (a633))) -> (c1_1 (a633)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(hskp9)) -> False). % 1.21/1.42 do 0 intro. intros zenon_Hbc zenon_H62 zenon_H39 zenon_H38 zenon_H37 zenon_Hfb zenon_Hd7 zenon_Hd8 zenon_H107 zenon_Hca zenon_Hcb zenon_Hcc zenon_H14b zenon_H14c zenon_H14d zenon_H155 zenon_H5f. % 1.21/1.42 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.21/1.42 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.21/1.42 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H36 | zenon_intro zenon_H65 ]. % 1.21/1.42 apply (zenon_L14_); trivial. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H10 | zenon_intro zenon_H60 ]. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14a | zenon_intro zenon_H158 ]. % 1.21/1.42 apply (zenon_L96_); trivial. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H6b ]. % 1.21/1.42 apply (zenon_L51_); trivial. % 1.21/1.42 apply (zenon_L110_); trivial. % 1.21/1.42 exact (zenon_H5f zenon_H60). % 1.21/1.42 (* end of lemma zenon_L583_ *) % 1.21/1.42 assert (zenon_L584_ : ((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a633))) -> (~(c3_1 (a633))) -> (c1_1 (a633)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (~(hskp16)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> False). % 1.21/1.42 do 0 intro. intros zenon_H67 zenon_Hc0 zenon_H62 zenon_H5f zenon_H14b zenon_H14c zenon_H14d zenon_H107 zenon_Hfb zenon_Hd8 zenon_Hd7 zenon_H155 zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H142 zenon_H1c8. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Hf. zenon_intro zenon_H68. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H39. zenon_intro zenon_H69. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H37. zenon_intro zenon_H38. % 1.21/1.42 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.21/1.42 apply (zenon_L146_); trivial. % 1.21/1.42 apply (zenon_L583_); trivial. % 1.21/1.42 (* end of lemma zenon_L584_ *) % 1.21/1.42 assert (zenon_L585_ : ((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (c0_1 (a603)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> False). % 1.21/1.42 do 0 intro. intros zenon_H154 zenon_H6a zenon_Hc0 zenon_H107 zenon_Hd8 zenon_H155 zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H142 zenon_H1c8 zenon_H66 zenon_H62 zenon_H5f zenon_H4b zenon_H4c zenon_H4d zenon_H54 zenon_H1f6 zenon_H125 zenon_H186 zenon_H185 zenon_H184 zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Hd7 zenon_He4 zenon_Hfb zenon_H287 zenon_H203 zenon_H207. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_Hf. zenon_intro zenon_H156. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14d. zenon_intro zenon_H157. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.21/1.42 apply (zenon_L423_); trivial. % 1.21/1.42 apply (zenon_L584_); trivial. % 1.21/1.42 (* end of lemma zenon_L585_ *) % 1.21/1.42 assert (zenon_L586_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (c0_1 (a603)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> False). % 1.21/1.42 do 0 intro. intros zenon_H8b zenon_H159 zenon_H6a zenon_Hc0 zenon_H107 zenon_Hd8 zenon_H155 zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H142 zenon_H1c8 zenon_H66 zenon_H62 zenon_H5f zenon_H54 zenon_H1f6 zenon_H125 zenon_H186 zenon_H185 zenon_H184 zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Hd7 zenon_He4 zenon_Hfb zenon_H287 zenon_H203 zenon_H207 zenon_H297 zenon_H298 zenon_H299 zenon_H42 zenon_H222. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H146 | zenon_intro zenon_H154 ]. % 1.21/1.42 apply (zenon_L324_); trivial. % 1.21/1.42 apply (zenon_L585_); trivial. % 1.21/1.42 (* end of lemma zenon_L586_ *) % 1.21/1.42 assert (zenon_L587_ : ((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp27)) -> (~(c2_1 (a606))) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> False). % 1.21/1.42 do 0 intro. intros zenon_Hbc zenon_H104 zenon_H75 zenon_H12e zenon_H130 zenon_H12f zenon_H10b zenon_H10c zenon_H114 zenon_H285 zenon_H1a zenon_H1c zenon_Hca zenon_Hcb zenon_Hcc. % 1.21/1.42 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.21/1.42 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.21/1.42 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H105 ]. % 1.21/1.42 apply (zenon_L367_); trivial. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hec | zenon_intro zenon_Hc9 ]. % 1.21/1.42 apply (zenon_L306_); trivial. % 1.21/1.42 apply (zenon_L51_); trivial. % 1.21/1.42 (* end of lemma zenon_L587_ *) % 1.21/1.42 assert (zenon_L588_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.21/1.42 do 0 intro. intros zenon_H137 zenon_H8e zenon_H6a zenon_H62 zenon_H128 zenon_H42 zenon_H125 zenon_H1eb zenon_H54 zenon_Hb1 zenon_Hc1 zenon_H254 zenon_H24f zenon_H102 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H1c8 zenon_H142 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H1c3 zenon_H1a zenon_H1c zenon_Hc0 zenon_H66 zenon_Hbf zenon_H1d2 zenon_H5f zenon_H104 zenon_H285 zenon_H83 zenon_H1e7 zenon_H274 zenon_H123 zenon_H30 zenon_H8a zenon_H1e0 zenon_H12c. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.42 apply (zenon_L500_); trivial. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ]. % 1.21/1.42 apply (zenon_L156_); trivial. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_Hf. zenon_intro zenon_H1de. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d6. zenon_intro zenon_H1df. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.21/1.42 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.21/1.42 apply (zenon_L146_); trivial. % 1.21/1.42 apply (zenon_L587_); trivial. % 1.21/1.42 apply (zenon_L519_); trivial. % 1.21/1.42 apply (zenon_L449_); trivial. % 1.21/1.42 (* end of lemma zenon_L588_ *) % 1.21/1.42 assert (zenon_L589_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp27)) -> (~(c2_1 (a606))) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (ndr1_0) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> False). % 1.21/1.42 do 0 intro. intros zenon_H106 zenon_H75 zenon_H12e zenon_H130 zenon_H12f zenon_H10b zenon_H10c zenon_H114 zenon_H285 zenon_H92 zenon_H91 zenon_H90 zenon_Hf zenon_H297 zenon_H298 zenon_H299. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H108 ]. % 1.21/1.42 apply (zenon_L367_); trivial. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H8f | zenon_intro zenon_H9d ]. % 1.21/1.42 apply (zenon_L39_); trivial. % 1.21/1.42 apply (zenon_L320_); trivial. % 1.21/1.42 (* end of lemma zenon_L589_ *) % 1.21/1.42 assert (zenon_L590_ : ((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> (~(hskp26)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c1_1 (a651))) -> (~(c3_1 (a651))) -> (c2_1 (a651)) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> False). % 1.21/1.42 do 0 intro. intros zenon_H87 zenon_Hc0 zenon_He4 zenon_Hd7 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H1 zenon_H140 zenon_H123 zenon_Ha zenon_H10b zenon_H10c zenon_H114 zenon_H1eb zenon_H174 zenon_H46 zenon_H24f zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_H142 zenon_H1c8. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.21/1.42 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.21/1.42 apply (zenon_L447_); trivial. % 1.21/1.42 apply (zenon_L493_); trivial. % 1.21/1.42 (* end of lemma zenon_L590_ *) % 1.21/1.42 assert (zenon_L591_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.21/1.42 do 0 intro. intros zenon_H137 zenon_H8e zenon_H6a zenon_H274 zenon_H62 zenon_H104 zenon_H128 zenon_H42 zenon_H125 zenon_H54 zenon_H254 zenon_H24f zenon_H102 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H174 zenon_H46 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H90 zenon_H91 zenon_H92 zenon_Hb1 zenon_Hc1 zenon_H66 zenon_Hbf zenon_H1d2 zenon_H5f zenon_H8a zenon_Hc0 zenon_H123 zenon_H1eb zenon_H1c3 zenon_Hcc zenon_Hcb zenon_Hca zenon_H142 zenon_H1c8 zenon_H285 zenon_H297 zenon_H298 zenon_H299 zenon_H106 zenon_H1e0 zenon_H12c. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.42 apply (zenon_L536_); trivial. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ]. % 1.21/1.42 apply (zenon_L156_); trivial. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_Hf. zenon_intro zenon_H1de. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d6. zenon_intro zenon_H1df. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.21/1.42 apply (zenon_L589_); trivial. % 1.21/1.42 apply (zenon_L590_); trivial. % 1.21/1.42 apply (zenon_L158_); trivial. % 1.21/1.42 apply (zenon_L449_); trivial. % 1.21/1.42 (* end of lemma zenon_L591_ *) % 1.21/1.42 assert (zenon_L592_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (ndr1_0) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> False). % 1.21/1.42 do 0 intro. intros zenon_H12c zenon_H159 zenon_H229 zenon_H155 zenon_H123 zenon_Ha zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_Hca zenon_Hcb zenon_Hcc zenon_H1eb zenon_H125 zenon_H128 zenon_H297 zenon_H298 zenon_H299 zenon_H42 zenon_H222 zenon_H85 zenon_H83 zenon_H184 zenon_H186 zenon_H185 zenon_H160 zenon_H15f zenon_H15e zenon_Hf zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H102. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.42 apply (zenon_L487_); trivial. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H146 | zenon_intro zenon_H154 ]. % 1.21/1.42 apply (zenon_L324_); trivial. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_Hf. zenon_intro zenon_H156. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14d. zenon_intro zenon_H157. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H22a ]. % 1.21/1.42 apply (zenon_L353_); trivial. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H10a | zenon_intro zenon_He0 ]. % 1.21/1.42 apply (zenon_L208_); trivial. % 1.21/1.42 apply (zenon_L209_); trivial. % 1.21/1.42 (* end of lemma zenon_L592_ *) % 1.21/1.42 assert (zenon_L593_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (ndr1_0) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.21/1.42 do 0 intro. intros zenon_H13b zenon_H1e0 zenon_H274 zenon_H104 zenon_H1d2 zenon_Hb1 zenon_Hc1 zenon_H12c zenon_H159 zenon_H229 zenon_H155 zenon_H123 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_Hca zenon_Hcb zenon_Hcc zenon_H1eb zenon_H125 zenon_H128 zenon_H297 zenon_H298 zenon_H299 zenon_H42 zenon_H222 zenon_H85 zenon_H83 zenon_H184 zenon_H186 zenon_H185 zenon_H160 zenon_H15f zenon_H15e zenon_Hf zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H102 zenon_H207 zenon_H203 zenon_H287 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H1f6 zenon_H54 zenon_H5f zenon_H62 zenon_H66 zenon_H1c8 zenon_H142 zenon_H1c3 zenon_H107 zenon_Hc0 zenon_H6a zenon_H8e. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.42 apply (zenon_L592_); trivial. % 1.21/1.42 apply (zenon_L586_); trivial. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.42 apply (zenon_L592_); trivial. % 1.21/1.42 apply (zenon_L449_); trivial. % 1.21/1.42 (* end of lemma zenon_L593_ *) % 1.21/1.42 assert (zenon_L594_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> (~(hskp17)) -> ((hskp29)\/((hskp7)\/(hskp17))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp26)\/(hskp28))) -> (~(hskp26)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (~(hskp7)) -> (~(hskp20)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (ndr1_0) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> False). % 1.21/1.42 do 0 intro. intros zenon_H8a zenon_Hc0 zenon_H30 zenon_H24f zenon_H123 zenon_H274 zenon_H1c zenon_H1a zenon_Ha zenon_Hc zenon_H2c0 zenon_H1 zenon_H186 zenon_H185 zenon_H184 zenon_H8 zenon_H99 zenon_H9b zenon_H285 zenon_H12f zenon_H130 zenon_H12e zenon_H114 zenon_H10c zenon_H10b zenon_Hf zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.21/1.42 apply (zenon_L368_); trivial. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.21/1.42 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.21/1.42 apply (zenon_L415_); trivial. % 1.21/1.42 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.21/1.42 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.21/1.42 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.21/1.42 apply (zenon_L7_); trivial. % 1.21/1.42 apply (zenon_L518_); trivial. % 1.21/1.42 (* end of lemma zenon_L594_ *) % 1.21/1.42 assert (zenon_L595_ : ((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> False). % 1.21/1.42 do 0 intro. intros zenon_Hc2 zenon_H66 zenon_H22b zenon_H22c zenon_H46 zenon_H174 zenon_H140 zenon_Hcb zenon_Hca zenon_H142 zenon_H8 zenon_H144. % 1.21/1.42 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hf. zenon_intro zenon_Hc3. % 1.21/1.42 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H9e. zenon_intro zenon_Hc4. % 1.21/1.42 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H9f. zenon_intro zenon_Ha8. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.21/1.42 apply (zenon_L91_); trivial. % 1.21/1.42 apply (zenon_L216_); trivial. % 1.21/1.42 (* end of lemma zenon_L595_ *) % 1.21/1.42 assert (zenon_L596_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> False). % 1.21/1.42 do 0 intro. intros zenon_Hc6 zenon_Hbf zenon_H66 zenon_H22b zenon_H22c zenon_H46 zenon_H174 zenon_H140 zenon_Hcb zenon_Hca zenon_H142 zenon_H144 zenon_H8 zenon_H9b. % 1.21/1.42 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.21/1.42 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.21/1.42 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.21/1.42 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H99 | zenon_intro zenon_Hc2 ]. % 1.21/1.42 apply (zenon_L41_); trivial. % 1.21/1.42 apply (zenon_L595_); trivial. % 1.21/1.42 (* end of lemma zenon_L596_ *) % 1.21/1.42 assert (zenon_L597_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> False). % 1.21/1.42 do 0 intro. intros zenon_H137 zenon_H12c zenon_H8a zenon_H285 zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H85 zenon_H83 zenon_H184 zenon_H186 zenon_H185 zenon_H160 zenon_H15f zenon_H15e zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H102. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.42 apply (zenon_L487_); trivial. % 1.21/1.42 apply (zenon_L369_); trivial. % 1.21/1.42 (* end of lemma zenon_L597_ *) % 1.21/1.42 assert (zenon_L598_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (~(c1_1 (a603))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (ndr1_0) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> False). % 1.21/1.42 do 0 intro. intros zenon_H13b zenon_H12c zenon_H8a zenon_H285 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H85 zenon_H83 zenon_H184 zenon_H186 zenon_H185 zenon_H160 zenon_H15f zenon_H15e zenon_He4 zenon_H102 zenon_Hf zenon_H22b zenon_H22c zenon_H237 zenon_Hf9 zenon_Hb1 zenon_Hd8 zenon_Hd7 zenon_H299 zenon_H298 zenon_H297 zenon_H107. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.21/1.42 apply (zenon_L365_); trivial. % 1.21/1.42 apply (zenon_L597_); trivial. % 1.21/1.42 (* end of lemma zenon_L598_ *) % 1.21/1.42 assert (zenon_L599_ : ((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (~(hskp18)) -> False). % 1.21/1.42 do 0 intro. intros zenon_H61 zenon_H24f zenon_H46 zenon_H174 zenon_H237 zenon_H22c zenon_H22b zenon_H102 zenon_H184 zenon_H186 zenon_H185 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H100. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_Hf. zenon_intro zenon_H63. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H11. zenon_intro zenon_H64. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.21/1.42 apply (zenon_L215_); trivial. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.21/1.42 apply (zenon_L226_); trivial. % 1.21/1.42 apply (zenon_L498_); trivial. % 1.21/1.42 (* end of lemma zenon_L599_ *) % 1.21/1.42 assert (zenon_L600_ : ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> (~(hskp19)) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (ndr1_0) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> (~(hskp18)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> False). % 1.21/1.42 do 0 intro. intros zenon_Hbf zenon_H66 zenon_H24f zenon_H237 zenon_H22b zenon_H22c zenon_H46 zenon_H174 zenon_H140 zenon_Hcb zenon_Hca zenon_H142 zenon_H8 zenon_H144 zenon_H2be zenon_H23e zenon_H184 zenon_H186 zenon_H185 zenon_Hf zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H100 zenon_H102. % 1.21/1.42 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H99 | zenon_intro zenon_Hc2 ]. % 1.21/1.42 apply (zenon_L405_); trivial. % 1.21/1.42 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hf. zenon_intro zenon_Hc3. % 1.21/1.42 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H9e. zenon_intro zenon_Hc4. % 1.21/1.42 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H9f. zenon_intro zenon_Ha8. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.21/1.42 apply (zenon_L91_); trivial. % 1.21/1.42 apply (zenon_L599_); trivial. % 1.21/1.42 (* end of lemma zenon_L600_ *) % 1.21/1.42 assert (zenon_L601_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp7)) -> (~(hskp17)) -> ((hskp29)\/((hskp7)\/(hskp17))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> False). % 1.21/1.42 do 0 intro. intros zenon_H127 zenon_H8a zenon_H30 zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H123 zenon_Hcb zenon_Hca zenon_H274 zenon_H8 zenon_Ha zenon_Hc zenon_H285 zenon_H12f zenon_H130 zenon_H12e zenon_H90 zenon_H91 zenon_H92 zenon_H297 zenon_H298 zenon_H299 zenon_H106. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.21/1.42 apply (zenon_L589_); trivial. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.21/1.42 apply (zenon_L7_); trivial. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hf. zenon_intro zenon_H33. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H1f. zenon_intro zenon_H34. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H108 ]. % 1.21/1.42 apply (zenon_L517_); trivial. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H8f | zenon_intro zenon_H9d ]. % 1.21/1.42 apply (zenon_L39_); trivial. % 1.21/1.42 apply (zenon_L320_); trivial. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.21/1.42 apply (zenon_L226_); trivial. % 1.21/1.42 apply (zenon_L31_); trivial. % 1.21/1.42 (* end of lemma zenon_L601_ *) % 1.21/1.42 assert (zenon_L602_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp17)) -> ((hskp29)\/((hskp7)\/(hskp17))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (c1_1 (a604)) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (ndr1_0) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c3_1 (a604)) -> (~(c0_1 (a604))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> False). % 1.21/1.42 do 0 intro. intros zenon_H12c zenon_H8a zenon_H30 zenon_H123 zenon_H274 zenon_Ha zenon_Hc zenon_H285 zenon_H12f zenon_H130 zenon_H12e zenon_H91 zenon_H297 zenon_H298 zenon_H299 zenon_H106 zenon_Hbf zenon_H66 zenon_H24f zenon_H237 zenon_H22b zenon_H22c zenon_H46 zenon_H174 zenon_H140 zenon_Hcb zenon_Hca zenon_H142 zenon_H8 zenon_H144 zenon_H2be zenon_H184 zenon_H186 zenon_H185 zenon_Hf zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H102 zenon_H92 zenon_H90 zenon_H254. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H23e | zenon_intro zenon_H251 ]. % 1.21/1.42 apply (zenon_L600_); trivial. % 1.21/1.42 apply (zenon_L535_); trivial. % 1.21/1.42 apply (zenon_L601_); trivial. % 1.21/1.42 (* end of lemma zenon_L602_ *) % 1.21/1.42 assert (zenon_L603_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c1_1 (a603))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((hskp29)\/((hskp7)\/(hskp17))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> False). % 1.21/1.42 do 0 intro. intros zenon_Hc6 zenon_H13b zenon_H8e zenon_H6a zenon_H265 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H54 zenon_H5f zenon_H62 zenon_H9b zenon_H254 zenon_H102 zenon_He4 zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H144 zenon_H8 zenon_H142 zenon_Hca zenon_Hcb zenon_H140 zenon_H174 zenon_H46 zenon_H24f zenon_H66 zenon_Hbf zenon_H106 zenon_H285 zenon_Hc zenon_H274 zenon_H123 zenon_H30 zenon_H8a zenon_H12c zenon_H22b zenon_H22c zenon_H237 zenon_Hf9 zenon_Hb1 zenon_Hd8 zenon_Hd7 zenon_H299 zenon_H298 zenon_H297 zenon_H107. % 1.21/1.42 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.21/1.42 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.21/1.42 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.21/1.42 apply (zenon_L365_); trivial. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.42 apply (zenon_L602_); trivial. % 1.21/1.42 apply (zenon_L389_); trivial. % 1.21/1.42 (* end of lemma zenon_L603_ *) % 1.21/1.42 assert (zenon_L604_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> (~(c2_1 (a606))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(hskp9)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> False). % 1.21/1.42 do 0 intro. intros zenon_H127 zenon_H1e0 zenon_H66 zenon_Hc0 zenon_H1c zenon_H1a zenon_H1c3 zenon_H104 zenon_Hcc zenon_Hcb zenon_Hca zenon_H237 zenon_H22c zenon_H22b zenon_H285 zenon_H24f zenon_H1eb zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_Ha zenon_H123 zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Hd7 zenon_He4 zenon_H142 zenon_H1c8 zenon_H8a zenon_H12e zenon_H12f zenon_H130 zenon_H5f zenon_H1d2. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ]. % 1.21/1.42 apply (zenon_L156_); trivial. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_Hf. zenon_intro zenon_H1de. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d6. zenon_intro zenon_H1df. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.21/1.42 apply (zenon_L368_); trivial. % 1.21/1.42 apply (zenon_L462_); trivial. % 1.21/1.42 apply (zenon_L551_); trivial. % 1.21/1.42 (* end of lemma zenon_L604_ *) % 1.21/1.42 assert (zenon_L605_ : ((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a606))) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp10)) -> (c1_1 (a612)) -> (c2_1 (a612)) -> (c3_1 (a612)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> False). % 1.21/1.42 do 0 intro. intros zenon_H32 zenon_H104 zenon_H12e zenon_H130 zenon_H12f zenon_H4b zenon_H4c zenon_H4d zenon_H274 zenon_H1a zenon_Hb3 zenon_Hb4 zenon_Hb5 zenon_H1c zenon_Hca zenon_Hcb zenon_Hcc. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hf. zenon_intro zenon_H33. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H1f. zenon_intro zenon_H34. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H105 ]. % 1.21/1.42 apply (zenon_L465_); trivial. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hec | zenon_intro zenon_Hc9 ]. % 1.21/1.42 apply (zenon_L306_); trivial. % 1.21/1.42 apply (zenon_L51_); trivial. % 1.21/1.42 (* end of lemma zenon_L605_ *) % 1.21/1.42 assert (zenon_L606_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(c2_1 (a606))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(hskp9)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> False). % 1.21/1.42 do 0 intro. intros zenon_H8b zenon_H1e0 zenon_Hc0 zenon_H30 zenon_H104 zenon_H1a zenon_H1c zenon_H274 zenon_H1e7 zenon_H83 zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H142 zenon_H1c8 zenon_H12e zenon_H12f zenon_H130 zenon_H5f zenon_H1d2. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ]. % 1.21/1.42 apply (zenon_L156_); trivial. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_Hf. zenon_intro zenon_H1de. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d6. zenon_intro zenon_H1df. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.21/1.42 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.21/1.42 apply (zenon_L447_); trivial. % 1.21/1.42 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.21/1.42 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.21/1.42 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.21/1.42 apply (zenon_L515_); trivial. % 1.21/1.42 apply (zenon_L605_); trivial. % 1.21/1.42 (* end of lemma zenon_L606_ *) % 1.21/1.42 assert (zenon_L607_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.21/1.42 do 0 intro. intros zenon_H137 zenon_H8e zenon_H30 zenon_H274 zenon_H1e7 zenon_H83 zenon_H1b5 zenon_H40 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H1d2 zenon_H5f zenon_H8a zenon_H1c8 zenon_H142 zenon_He4 zenon_Hd7 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H123 zenon_H1eb zenon_H24f zenon_H285 zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H1c3 zenon_H1a zenon_H1c zenon_Hc0 zenon_H66 zenon_H1e0 zenon_H12c. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.42 apply (zenon_L135_); trivial. % 1.21/1.42 apply (zenon_L604_); trivial. % 1.21/1.42 apply (zenon_L606_); trivial. % 1.21/1.42 (* end of lemma zenon_L607_ *) % 1.21/1.42 assert (zenon_L608_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.21/1.42 do 0 intro. intros zenon_H137 zenon_H8e zenon_H30 zenon_H274 zenon_H1e7 zenon_H83 zenon_H254 zenon_H24f zenon_H102 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H1c8 zenon_H142 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H1c3 zenon_H1a zenon_H1c zenon_Hc0 zenon_H66 zenon_Hbf zenon_H1d2 zenon_H5f zenon_H8a zenon_H123 zenon_H1eb zenon_H285 zenon_H22b zenon_H22c zenon_H237 zenon_H104 zenon_H1e0 zenon_H12c. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.42 apply (zenon_L500_); trivial. % 1.21/1.42 apply (zenon_L604_); trivial. % 1.21/1.42 apply (zenon_L606_); trivial. % 1.21/1.42 (* end of lemma zenon_L608_ *) % 1.21/1.42 assert (zenon_L609_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (ndr1_0) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> False). % 1.21/1.42 do 0 intro. intros zenon_H12c zenon_H8a zenon_H123 zenon_Ha zenon_Hca zenon_Hcb zenon_Hcc zenon_H1eb zenon_H22b zenon_H22c zenon_H237 zenon_H285 zenon_H12f zenon_H130 zenon_H12e zenon_H297 zenon_H298 zenon_H299 zenon_H106 zenon_Hbf zenon_H66 zenon_Hc1 zenon_Hb1 zenon_H92 zenon_H91 zenon_H90 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H46 zenon_H174 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H2be zenon_H184 zenon_H186 zenon_H185 zenon_Hf zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H102 zenon_H24f zenon_H254. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.42 apply (zenon_L536_); trivial. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.21/1.42 apply (zenon_L589_); trivial. % 1.21/1.42 apply (zenon_L249_); trivial. % 1.21/1.42 (* end of lemma zenon_L609_ *) % 1.21/1.42 assert (zenon_L610_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c1_1 (a603))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> False). % 1.21/1.42 do 0 intro. intros zenon_Hc6 zenon_H13b zenon_H8e zenon_H1d2 zenon_H5f zenon_H1c8 zenon_H142 zenon_H28d zenon_H274 zenon_H104 zenon_H30 zenon_H1e0 zenon_H254 zenon_H24f zenon_H102 zenon_He4 zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H174 zenon_H46 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_Hc1 zenon_H66 zenon_Hbf zenon_H106 zenon_H285 zenon_H1eb zenon_Hcc zenon_Hcb zenon_Hca zenon_H123 zenon_H8a zenon_H12c zenon_H22b zenon_H22c zenon_H237 zenon_Hf9 zenon_Hb1 zenon_Hd8 zenon_Hd7 zenon_H299 zenon_H298 zenon_H297 zenon_H107. % 1.21/1.42 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.21/1.42 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.21/1.42 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.21/1.42 apply (zenon_L365_); trivial. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.42 apply (zenon_L609_); trivial. % 1.21/1.42 apply (zenon_L471_); trivial. % 1.21/1.42 (* end of lemma zenon_L610_ *) % 1.21/1.42 assert (zenon_L611_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp23)) -> (c0_1 (a598)) -> (c3_1 (a598)) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(c2_1 (a606))) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (ndr1_0) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> False). % 1.21/1.42 do 0 intro. intros zenon_H106 zenon_H2e zenon_H15f zenon_H160 zenon_H4b zenon_H4c zenon_H4d zenon_H54 zenon_H12e zenon_H130 zenon_H12f zenon_H274 zenon_H92 zenon_H91 zenon_H90 zenon_Hf zenon_H297 zenon_H298 zenon_H299. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H108 ]. % 1.21/1.42 apply (zenon_L434_); trivial. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H8f | zenon_intro zenon_H9d ]. % 1.21/1.42 apply (zenon_L39_); trivial. % 1.21/1.42 apply (zenon_L320_); trivial. % 1.21/1.42 (* end of lemma zenon_L611_ *) % 1.21/1.42 assert (zenon_L612_ : ((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> False). % 1.21/1.42 do 0 intro. intros zenon_Hc2 zenon_H6a zenon_H66 zenon_H62 zenon_H5f zenon_H265 zenon_H274 zenon_H15f zenon_H160 zenon_H54 zenon_H12f zenon_H130 zenon_H12e zenon_H4d zenon_H4c zenon_H4b zenon_H90 zenon_H91 zenon_H92 zenon_H297 zenon_H298 zenon_H299 zenon_H106. % 1.21/1.42 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hf. zenon_intro zenon_Hc3. % 1.21/1.42 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H9e. zenon_intro zenon_Hc4. % 1.21/1.42 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H9f. zenon_intro zenon_Ha8. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.21/1.42 apply (zenon_L611_); trivial. % 1.21/1.42 apply (zenon_L237_); trivial. % 1.21/1.42 (* end of lemma zenon_L612_ *) % 1.21/1.42 assert (zenon_L613_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (~(hskp7)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> False). % 1.21/1.42 do 0 intro. intros zenon_H8b zenon_Hbf zenon_H6a zenon_H66 zenon_H62 zenon_H5f zenon_H265 zenon_H274 zenon_H15f zenon_H160 zenon_H54 zenon_H12f zenon_H130 zenon_H12e zenon_H297 zenon_H298 zenon_H299 zenon_H106 zenon_H90 zenon_H91 zenon_H92 zenon_H8 zenon_H9b. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.21/1.42 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H99 | zenon_intro zenon_Hc2 ]. % 1.21/1.42 apply (zenon_L41_); trivial. % 1.21/1.42 apply (zenon_L612_); trivial. % 1.21/1.42 (* end of lemma zenon_L613_ *) % 1.21/1.42 assert (zenon_L614_ : ((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp7)) -> (~(hskp17)) -> ((hskp29)\/((hskp7)\/(hskp17))) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> False). % 1.21/1.42 do 0 intro. intros zenon_H61 zenon_H8a zenon_H30 zenon_H85 zenon_H83 zenon_H1a zenon_H1c zenon_H8 zenon_Ha zenon_Hc zenon_H10b zenon_H10c zenon_H114 zenon_H276 zenon_H277 zenon_H278 zenon_H285. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_Hf. zenon_intro zenon_H63. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H11. zenon_intro zenon_H64. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.21/1.42 apply (zenon_L278_); trivial. % 1.21/1.42 apply (zenon_L34_); trivial. % 1.21/1.42 (* end of lemma zenon_L614_ *) % 1.21/1.42 assert (zenon_L615_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c1_1 (a603))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a599)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp26)\/(hskp28))) -> ((hskp29)\/((hskp7)\/(hskp17))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> (ndr1_0) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> False). % 1.21/1.42 do 0 intro. intros zenon_H13b zenon_H8e zenon_H254 zenon_H102 zenon_He4 zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H144 zenon_H8 zenon_H142 zenon_Hca zenon_Hcb zenon_H140 zenon_H174 zenon_H46 zenon_H24f zenon_H66 zenon_Hbf zenon_H85 zenon_H83 zenon_H276 zenon_H277 zenon_H278 zenon_H104 zenon_Hcc zenon_H285 zenon_H9b zenon_H2c0 zenon_Hc zenon_H1a zenon_H1c zenon_H274 zenon_H123 zenon_H30 zenon_Hc0 zenon_H8a zenon_H12c zenon_Hf zenon_H22b zenon_H22c zenon_H237 zenon_Hf9 zenon_Hb1 zenon_Hd8 zenon_Hd7 zenon_H299 zenon_H298 zenon_H297 zenon_H107. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.21/1.42 apply (zenon_L365_); trivial. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H23e | zenon_intro zenon_H251 ]. % 1.21/1.42 apply (zenon_L600_); trivial. % 1.21/1.42 apply (zenon_L543_); trivial. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.21/1.42 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H99 | zenon_intro zenon_Hc2 ]. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.21/1.42 apply (zenon_L594_); trivial. % 1.21/1.42 apply (zenon_L614_); trivial. % 1.21/1.42 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hf. zenon_intro zenon_Hc3. % 1.21/1.42 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H9e. zenon_intro zenon_Hc4. % 1.21/1.42 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H9f. zenon_intro zenon_Ha8. % 1.21/1.42 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.21/1.42 apply (zenon_L91_); trivial. % 1.21/1.42 apply (zenon_L614_); trivial. % 1.21/1.42 apply (zenon_L274_); trivial. % 1.21/1.42 (* end of lemma zenon_L615_ *) % 1.21/1.42 assert (zenon_L616_ : ((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp15)\/(hskp11))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp10))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> False). % 1.21/1.42 do 0 intro. intros zenon_H19c zenon_H209 zenon_H19b zenon_H22b zenon_H22c zenon_H237 zenon_H104 zenon_H144 zenon_H8 zenon_H220 zenon_H186 zenon_H185 zenon_H184 zenon_H2ab zenon_H106 zenon_H1e1 zenon_H217 zenon_H299 zenon_H298 zenon_H297 zenon_H142 zenon_H1c8. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.21/1.42 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.21/1.43 apply (zenon_L338_); trivial. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.21/1.43 apply (zenon_L347_); trivial. % 1.21/1.43 apply (zenon_L243_); trivial. % 1.21/1.43 (* end of lemma zenon_L616_ *) % 1.21/1.43 assert (zenon_L617_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> (~(c2_1 (a606))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(hskp9)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> False). % 1.21/1.43 do 0 intro. intros zenon_H127 zenon_H1e0 zenon_H66 zenon_Hc0 zenon_H1c zenon_H1a zenon_H1c3 zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H1eb zenon_Hcc zenon_Hcb zenon_Hca zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_Ha zenon_H123 zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Hd7 zenon_He4 zenon_H142 zenon_H1c8 zenon_H8a zenon_H12e zenon_H12f zenon_H130 zenon_H5f zenon_H1d2. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ]. % 1.21/1.43 apply (zenon_L156_); trivial. % 1.21/1.43 apply (zenon_L552_); trivial. % 1.21/1.43 (* end of lemma zenon_L617_ *) % 1.21/1.43 assert (zenon_L618_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(hskp18)) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (ndr1_0) -> (~(c2_1 (a606))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(hskp9)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> False). % 1.21/1.43 do 0 intro. intros zenon_H1e0 zenon_H30 zenon_H274 zenon_H278 zenon_H277 zenon_H276 zenon_H4d zenon_H4c zenon_H4b zenon_H28d zenon_H100 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_H142 zenon_H1c8 zenon_Hf zenon_H12e zenon_H12f zenon_H130 zenon_H5f zenon_H1d2. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ]. % 1.21/1.43 apply (zenon_L156_); trivial. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_Hf. zenon_intro zenon_H1de. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d6. zenon_intro zenon_H1df. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.21/1.43 apply (zenon_L464_); trivial. % 1.21/1.43 apply (zenon_L295_); trivial. % 1.21/1.43 (* end of lemma zenon_L618_ *) % 1.21/1.43 assert (zenon_L619_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> (~(c2_1 (a606))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> False). % 1.21/1.43 do 0 intro. intros zenon_H8b zenon_H12c zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_Hca zenon_Hcb zenon_Hcc zenon_H285 zenon_H1d2 zenon_H5f zenon_H130 zenon_H12f zenon_H12e zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30 zenon_H1e0. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.43 apply (zenon_L618_); trivial. % 1.21/1.43 apply (zenon_L558_); trivial. % 1.21/1.43 (* end of lemma zenon_L619_ *) % 1.21/1.43 assert (zenon_L620_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.21/1.43 do 0 intro. intros zenon_H137 zenon_H8e zenon_H28d zenon_H274 zenon_H30 zenon_H254 zenon_H24f zenon_H102 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H1c8 zenon_H142 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H1c3 zenon_H1a zenon_H1c zenon_Hc0 zenon_H66 zenon_Hbf zenon_H1d2 zenon_H5f zenon_H8a zenon_H123 zenon_H1eb zenon_H22b zenon_H22c zenon_H237 zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H1e0 zenon_H12c. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.43 apply (zenon_L500_); trivial. % 1.21/1.43 apply (zenon_L617_); trivial. % 1.21/1.43 apply (zenon_L619_); trivial. % 1.21/1.43 (* end of lemma zenon_L620_ *) % 1.21/1.43 assert (zenon_L621_ : (forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55)))))) -> (ndr1_0) -> (~(c3_1 (a586))) -> (forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43)))))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> False). % 1.21/1.43 do 0 intro. intros zenon_H1f8 zenon_Hf zenon_H2c8 zenon_H1b1 zenon_H2c9 zenon_H2ca. % 1.21/1.43 generalize (zenon_H1f8 (a586)). zenon_intro zenon_H2cb. % 1.21/1.43 apply (zenon_imply_s _ _ zenon_H2cb); [ zenon_intro zenon_He | zenon_intro zenon_H2cc ]. % 1.21/1.43 exact (zenon_He zenon_Hf). % 1.21/1.43 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2ce | zenon_intro zenon_H2cd ]. % 1.21/1.43 exact (zenon_H2c8 zenon_H2ce). % 1.21/1.43 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H2cf ]. % 1.21/1.43 generalize (zenon_H1b1 (a586)). zenon_intro zenon_H2d1. % 1.21/1.43 apply (zenon_imply_s _ _ zenon_H2d1); [ zenon_intro zenon_He | zenon_intro zenon_H2d2 ]. % 1.21/1.43 exact (zenon_He zenon_Hf). % 1.21/1.43 apply (zenon_or_s _ _ zenon_H2d2); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H2d3 ]. % 1.21/1.43 exact (zenon_H2d0 zenon_H2d4). % 1.21/1.43 apply (zenon_or_s _ _ zenon_H2d3); [ zenon_intro zenon_H2ce | zenon_intro zenon_H2d5 ]. % 1.21/1.43 exact (zenon_H2c8 zenon_H2ce). % 1.21/1.43 exact (zenon_H2d5 zenon_H2c9). % 1.21/1.43 exact (zenon_H2cf zenon_H2ca). % 1.21/1.43 (* end of lemma zenon_L621_ *) % 1.21/1.43 assert (zenon_L622_ : ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43)))))) -> (~(c3_1 (a586))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp17)) -> False). % 1.21/1.43 do 0 intro. intros zenon_H2d6 zenon_H2ca zenon_H2c9 zenon_H1b1 zenon_H2c8 zenon_Hf zenon_H15a zenon_Ha. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H18e ]. % 1.21/1.43 apply (zenon_L621_); trivial. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H15b | zenon_intro zenon_Hb ]. % 1.21/1.43 exact (zenon_H15a zenon_H15b). % 1.21/1.43 exact (zenon_Ha zenon_Hb). % 1.21/1.43 (* end of lemma zenon_L622_ *) % 1.21/1.43 assert (zenon_L623_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> (~(hskp17)) -> (~(hskp3)) -> (ndr1_0) -> (~(c3_1 (a586))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> (~(hskp8)) -> (~(hskp18)) -> False). % 1.21/1.43 do 0 intro. intros zenon_H1b5 zenon_Ha zenon_H15a zenon_Hf zenon_H2c8 zenon_H2c9 zenon_H2ca zenon_H2d6 zenon_H40 zenon_H100. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H1b6 ]. % 1.21/1.43 apply (zenon_L622_); trivial. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H41 | zenon_intro zenon_H101 ]. % 1.21/1.43 exact (zenon_H40 zenon_H41). % 1.21/1.43 exact (zenon_H100 zenon_H101). % 1.21/1.43 (* end of lemma zenon_L623_ *) % 1.21/1.43 assert (zenon_L624_ : (forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))) -> (ndr1_0) -> (~(c3_1 (a586))) -> (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10)))))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> False). % 1.21/1.43 do 0 intro. intros zenon_H6b zenon_Hf zenon_H2c8 zenon_H167 zenon_H2ca zenon_H2c9. % 1.21/1.43 generalize (zenon_H6b (a586)). zenon_intro zenon_H2d7. % 1.21/1.43 apply (zenon_imply_s _ _ zenon_H2d7); [ zenon_intro zenon_He | zenon_intro zenon_H2d8 ]. % 1.21/1.43 exact (zenon_He zenon_Hf). % 1.21/1.43 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H2ce | zenon_intro zenon_H2d9 ]. % 1.21/1.43 exact (zenon_H2c8 zenon_H2ce). % 1.21/1.43 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H2d5 ]. % 1.21/1.43 generalize (zenon_H167 (a586)). zenon_intro zenon_H2da. % 1.21/1.43 apply (zenon_imply_s _ _ zenon_H2da); [ zenon_intro zenon_He | zenon_intro zenon_H2db ]. % 1.21/1.43 exact (zenon_He zenon_Hf). % 1.21/1.43 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H2dc ]. % 1.21/1.43 exact (zenon_H2d0 zenon_H2d4). % 1.21/1.43 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H2cf | zenon_intro zenon_H2d5 ]. % 1.21/1.43 exact (zenon_H2cf zenon_H2ca). % 1.21/1.43 exact (zenon_H2d5 zenon_H2c9). % 1.21/1.43 exact (zenon_H2d5 zenon_H2c9). % 1.21/1.43 (* end of lemma zenon_L624_ *) % 1.21/1.43 assert (zenon_L625_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))) -> (c2_1 (a583)) -> (c1_1 (a583)) -> (c0_1 (a583)) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.21/1.43 do 0 intro. intros zenon_H174 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H6b zenon_H13 zenon_H12 zenon_H11 zenon_Hf zenon_H46. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H167 | zenon_intro zenon_H175 ]. % 1.21/1.43 apply (zenon_L624_); trivial. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H10 | zenon_intro zenon_H47 ]. % 1.21/1.43 apply (zenon_L9_); trivial. % 1.21/1.43 exact (zenon_H46 zenon_H47). % 1.21/1.43 (* end of lemma zenon_L625_ *) % 1.21/1.43 assert (zenon_L626_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (~(hskp12)) -> (ndr1_0) -> (c0_1 (a583)) -> (c1_1 (a583)) -> (c2_1 (a583)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp28)) -> False). % 1.21/1.43 do 0 intro. intros zenon_H1ba zenon_H114 zenon_H10c zenon_H10b zenon_H46 zenon_Hf zenon_H11 zenon_H12 zenon_H13 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H174 zenon_Had. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_Heb | zenon_intro zenon_H1bb ]. % 1.21/1.43 apply (zenon_L136_); trivial. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H6b | zenon_intro zenon_Hae ]. % 1.21/1.43 apply (zenon_L625_); trivial. % 1.21/1.43 exact (zenon_Had zenon_Hae). % 1.21/1.43 (* end of lemma zenon_L626_ *) % 1.21/1.43 assert (zenon_L627_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(hskp11)) -> ((hskp26)\/(hskp11)) -> False). % 1.21/1.43 do 0 intro. intros zenon_H127 zenon_H66 zenon_Hc0 zenon_H1c zenon_H1a zenon_H174 zenon_H46 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H1ba zenon_H3 zenon_H5. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.21/1.43 apply (zenon_L3_); trivial. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_Hf. zenon_intro zenon_H63. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H11. zenon_intro zenon_H64. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.21/1.43 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.21/1.43 apply (zenon_L626_); trivial. % 1.21/1.43 apply (zenon_L48_); trivial. % 1.21/1.43 (* end of lemma zenon_L627_ *) % 1.21/1.43 assert (zenon_L628_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(hskp11)) -> ((hskp26)\/(hskp11)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> (~(hskp17)) -> (~(hskp3)) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> False). % 1.21/1.43 do 0 intro. intros zenon_H12c zenon_H66 zenon_Hc0 zenon_H1c zenon_H1a zenon_H6c zenon_H6d zenon_H6e zenon_H1ba zenon_H3 zenon_H5 zenon_H2d6 zenon_Ha zenon_H15a zenon_H2ca zenon_H2c9 zenon_H2c8 zenon_Hf zenon_H40 zenon_H1b5. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.43 apply (zenon_L623_); trivial. % 1.21/1.43 apply (zenon_L139_); trivial. % 1.21/1.43 (* end of lemma zenon_L628_ *) % 1.21/1.43 assert (zenon_L629_ : (forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57)))))) -> (ndr1_0) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> False). % 1.21/1.43 do 0 intro. intros zenon_H1c0 zenon_Hf zenon_H2c8 zenon_H2ca zenon_H2c9. % 1.21/1.43 generalize (zenon_H1c0 (a586)). zenon_intro zenon_H2dd. % 1.21/1.43 apply (zenon_imply_s _ _ zenon_H2dd); [ zenon_intro zenon_He | zenon_intro zenon_H2de ]. % 1.21/1.43 exact (zenon_He zenon_Hf). % 1.21/1.43 apply (zenon_or_s _ _ zenon_H2de); [ zenon_intro zenon_H2ce | zenon_intro zenon_H2dc ]. % 1.21/1.43 exact (zenon_H2c8 zenon_H2ce). % 1.21/1.43 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H2cf | zenon_intro zenon_H2d5 ]. % 1.21/1.43 exact (zenon_H2cf zenon_H2ca). % 1.21/1.43 exact (zenon_H2d5 zenon_H2c9). % 1.21/1.43 (* end of lemma zenon_L629_ *) % 1.21/1.43 assert (zenon_L630_ : ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.21/1.43 do 0 intro. intros zenon_H1c3 zenon_Hcc zenon_Hcb zenon_Hca zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hf zenon_Had. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H1c4 ]. % 1.21/1.43 apply (zenon_L51_); trivial. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H1c0 | zenon_intro zenon_Hae ]. % 1.21/1.43 apply (zenon_L629_); trivial. % 1.21/1.43 exact (zenon_Had zenon_Hae). % 1.21/1.43 (* end of lemma zenon_L630_ *) % 1.21/1.43 assert (zenon_L631_ : ((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> False). % 1.21/1.43 do 0 intro. intros zenon_H61 zenon_Hc0 zenon_H1c zenon_H1a zenon_Hca zenon_Hcb zenon_Hcc zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_Hf. zenon_intro zenon_H63. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H11. zenon_intro zenon_H64. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.21/1.43 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.21/1.43 apply (zenon_L630_); trivial. % 1.21/1.43 apply (zenon_L48_); trivial. % 1.21/1.43 (* end of lemma zenon_L631_ *) % 1.21/1.43 assert (zenon_L632_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(hskp12)) -> (~(hskp8)) -> ((hskp26)\/((hskp12)\/(hskp8))) -> False). % 1.21/1.43 do 0 intro. intros zenon_H66 zenon_Hc0 zenon_H1c zenon_H1a zenon_Hca zenon_Hcb zenon_Hcc zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3 zenon_H46 zenon_H40 zenon_H48. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.21/1.43 apply (zenon_L19_); trivial. % 1.21/1.43 apply (zenon_L631_); trivial. % 1.21/1.43 (* end of lemma zenon_L632_ *) % 1.21/1.43 assert (zenon_L633_ : ((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp10)) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> False). % 1.21/1.43 do 0 intro. intros zenon_H67 zenon_Hc0 zenon_H62 zenon_H5f zenon_H1a zenon_H17f zenon_H1e5 zenon_Hca zenon_Hcb zenon_Hcc zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Hf. zenon_intro zenon_H68. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H39. zenon_intro zenon_H69. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H37. zenon_intro zenon_H38. % 1.21/1.43 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.21/1.43 apply (zenon_L630_); trivial. % 1.21/1.43 apply (zenon_L166_); trivial. % 1.21/1.43 (* end of lemma zenon_L633_ *) % 1.21/1.43 assert (zenon_L634_ : ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp10)) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(hskp14)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> False). % 1.21/1.43 do 0 intro. intros zenon_H6a zenon_Hc0 zenon_H62 zenon_H5f zenon_H1a zenon_H17f zenon_H1e5 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3 zenon_Hf zenon_Hca zenon_Hcb zenon_Hcc zenon_Hd3 zenon_Hd5. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.21/1.43 apply (zenon_L53_); trivial. % 1.21/1.43 apply (zenon_L633_); trivial. % 1.21/1.43 (* end of lemma zenon_L634_ *) % 1.21/1.43 assert (zenon_L635_ : ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp15)) -> False). % 1.21/1.43 do 0 intro. intros zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hf zenon_H6 zenon_H83. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1e8 ]. % 1.21/1.43 apply (zenon_L629_); trivial. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H7 | zenon_intro zenon_H84 ]. % 1.21/1.43 exact (zenon_H6 zenon_H7). % 1.21/1.43 exact (zenon_H83 zenon_H84). % 1.21/1.43 (* end of lemma zenon_L635_ *) % 1.21/1.43 assert (zenon_L636_ : (forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55)))))) -> (ndr1_0) -> (~(c3_1 (a586))) -> (forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40)))))) -> (c1_1 (a586)) -> False). % 1.21/1.43 do 0 intro. intros zenon_H1f8 zenon_Hf zenon_H2c8 zenon_H14a zenon_H2ca. % 1.21/1.43 generalize (zenon_H1f8 (a586)). zenon_intro zenon_H2cb. % 1.21/1.43 apply (zenon_imply_s _ _ zenon_H2cb); [ zenon_intro zenon_He | zenon_intro zenon_H2cc ]. % 1.21/1.43 exact (zenon_He zenon_Hf). % 1.21/1.43 apply (zenon_or_s _ _ zenon_H2cc); [ zenon_intro zenon_H2ce | zenon_intro zenon_H2cd ]. % 1.21/1.43 exact (zenon_H2c8 zenon_H2ce). % 1.21/1.43 apply (zenon_or_s _ _ zenon_H2cd); [ zenon_intro zenon_H2d0 | zenon_intro zenon_H2cf ]. % 1.21/1.43 generalize (zenon_H14a (a586)). zenon_intro zenon_H2df. % 1.21/1.43 apply (zenon_imply_s _ _ zenon_H2df); [ zenon_intro zenon_He | zenon_intro zenon_H2e0 ]. % 1.21/1.43 exact (zenon_He zenon_Hf). % 1.21/1.43 apply (zenon_or_s _ _ zenon_H2e0); [ zenon_intro zenon_H2d4 | zenon_intro zenon_H2e1 ]. % 1.21/1.43 exact (zenon_H2d0 zenon_H2d4). % 1.21/1.43 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_H2ce | zenon_intro zenon_H2cf ]. % 1.21/1.43 exact (zenon_H2c8 zenon_H2ce). % 1.21/1.43 exact (zenon_H2cf zenon_H2ca). % 1.21/1.43 exact (zenon_H2cf zenon_H2ca). % 1.21/1.43 (* end of lemma zenon_L636_ *) % 1.21/1.43 assert (zenon_L637_ : ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> (c1_1 (a586)) -> (forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40)))))) -> (~(c3_1 (a586))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp17)) -> False). % 1.21/1.43 do 0 intro. intros zenon_H2d6 zenon_H2ca zenon_H14a zenon_H2c8 zenon_Hf zenon_H15a zenon_Ha. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H2d6); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H18e ]. % 1.21/1.43 apply (zenon_L636_); trivial. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H15b | zenon_intro zenon_Hb ]. % 1.21/1.43 exact (zenon_H15a zenon_H15b). % 1.21/1.43 exact (zenon_Ha zenon_Hb). % 1.21/1.43 (* end of lemma zenon_L637_ *) % 1.21/1.43 assert (zenon_L638_ : ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> (c3_1 (a610)) -> (forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47)))))) -> (~(c2_1 (a610))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp17)) -> False). % 1.21/1.43 do 0 intro. intros zenon_H18d zenon_H114 zenon_H4a zenon_H10c zenon_Hf zenon_H15a zenon_Ha. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H183 | zenon_intro zenon_H18e ]. % 1.21/1.43 generalize (zenon_H183 (a610)). zenon_intro zenon_H2e2. % 1.21/1.43 apply (zenon_imply_s _ _ zenon_H2e2); [ zenon_intro zenon_He | zenon_intro zenon_H2e3 ]. % 1.21/1.43 exact (zenon_He zenon_Hf). % 1.21/1.43 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H113 | zenon_intro zenon_H2e4 ]. % 1.21/1.43 exact (zenon_H10c zenon_H113). % 1.21/1.43 apply (zenon_or_s _ _ zenon_H2e4); [ zenon_intro zenon_H112 | zenon_intro zenon_H118 ]. % 1.21/1.43 generalize (zenon_H4a (a610)). zenon_intro zenon_H267. % 1.21/1.43 apply (zenon_imply_s _ _ zenon_H267); [ zenon_intro zenon_He | zenon_intro zenon_H268 ]. % 1.21/1.43 exact (zenon_He zenon_Hf). % 1.21/1.43 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H10d | zenon_intro zenon_H1b9 ]. % 1.21/1.43 exact (zenon_H112 zenon_H10d). % 1.21/1.43 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H113 | zenon_intro zenon_H118 ]. % 1.21/1.43 exact (zenon_H10c zenon_H113). % 1.21/1.43 exact (zenon_H118 zenon_H114). % 1.21/1.43 exact (zenon_H118 zenon_H114). % 1.21/1.43 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H15b | zenon_intro zenon_Hb ]. % 1.21/1.43 exact (zenon_H15a zenon_H15b). % 1.21/1.43 exact (zenon_Ha zenon_Hb). % 1.21/1.43 (* end of lemma zenon_L638_ *) % 1.21/1.43 assert (zenon_L639_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))) -> (~(hskp17)) -> (~(hskp3)) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> (ndr1_0) -> (c0_1 (a678)) -> (c2_1 (a678)) -> (c3_1 (a678)) -> False). % 1.21/1.43 do 0 intro. intros zenon_H1eb zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H6b zenon_Ha zenon_H15a zenon_H10c zenon_H114 zenon_H18d zenon_Hf zenon_H1f zenon_H1d zenon_H1e. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1ec ]. % 1.21/1.43 apply (zenon_L624_); trivial. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H18f ]. % 1.21/1.43 apply (zenon_L638_); trivial. % 1.21/1.43 apply (zenon_L173_); trivial. % 1.21/1.43 (* end of lemma zenon_L639_ *) % 1.21/1.43 assert (zenon_L640_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> (~(hskp17)) -> (~(hskp3)) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> False). % 1.21/1.43 do 0 intro. intros zenon_H12c zenon_H30 zenon_H155 zenon_H18d zenon_H1eb zenon_Hcc zenon_Hcb zenon_Hca zenon_H83 zenon_H1e7 zenon_H2d6 zenon_Ha zenon_H15a zenon_H2ca zenon_H2c9 zenon_H2c8 zenon_Hf zenon_H40 zenon_H1b5. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.21/1.43 apply (zenon_L623_); trivial. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.21/1.43 apply (zenon_L635_); trivial. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hf. zenon_intro zenon_H33. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H1f. zenon_intro zenon_H34. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14a | zenon_intro zenon_H158 ]. % 1.21/1.43 apply (zenon_L637_); trivial. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H6b ]. % 1.21/1.43 apply (zenon_L51_); trivial. % 1.21/1.43 apply (zenon_L639_); trivial. % 1.21/1.43 (* end of lemma zenon_L640_ *) % 1.21/1.43 assert (zenon_L641_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp3))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> (ndr1_0) -> (~(c3_1 (a586))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(hskp3)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.21/1.43 do 0 intro. intros zenon_H8e zenon_H15c zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H1b5 zenon_H40 zenon_Hf zenon_H2c8 zenon_H2c9 zenon_H2ca zenon_H15a zenon_H2d6 zenon_H1e7 zenon_H83 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1eb zenon_H18d zenon_H155 zenon_H30 zenon_H12c. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.43 apply (zenon_L640_); trivial. % 1.21/1.43 apply (zenon_L101_); trivial. % 1.21/1.43 (* end of lemma zenon_L641_ *) % 1.21/1.43 assert (zenon_L642_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (c1_1 (a586)) -> (forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40)))))) -> (~(c3_1 (a586))) -> (ndr1_0) -> (~(hskp16)) -> False). % 1.21/1.43 do 0 intro. intros zenon_H203 zenon_H92 zenon_H91 zenon_H90 zenon_H2ca zenon_H14a zenon_H2c8 zenon_Hf zenon_Hfb. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H8f | zenon_intro zenon_H206 ]. % 1.21/1.43 apply (zenon_L39_); trivial. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1f8 | zenon_intro zenon_Hfc ]. % 1.21/1.43 apply (zenon_L636_); trivial. % 1.21/1.43 exact (zenon_Hfb zenon_Hfc). % 1.21/1.43 (* end of lemma zenon_L642_ *) % 1.21/1.43 assert (zenon_L643_ : ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(hskp16)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (ndr1_0) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> False). % 1.21/1.43 do 0 intro. intros zenon_H155 zenon_Hfb zenon_H2c8 zenon_H2ca zenon_H90 zenon_H91 zenon_H92 zenon_H203 zenon_Hcc zenon_Hcb zenon_Hca zenon_Hf zenon_H6c zenon_H6d zenon_H6e. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14a | zenon_intro zenon_H158 ]. % 1.21/1.43 apply (zenon_L642_); trivial. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H6b ]. % 1.21/1.43 apply (zenon_L51_); trivial. % 1.21/1.43 apply (zenon_L28_); trivial. % 1.21/1.43 (* end of lemma zenon_L643_ *) % 1.21/1.43 assert (zenon_L644_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> (~(hskp9)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> False). % 1.21/1.43 do 0 intro. intros zenon_Hc6 zenon_H13b zenon_H1e0 zenon_H208 zenon_H17f zenon_H15a zenon_H5f zenon_H1d2 zenon_H203 zenon_H2ca zenon_H2c8 zenon_Hca zenon_Hcb zenon_Hcc zenon_H6c zenon_H6d zenon_H6e zenon_H155. % 1.21/1.43 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.21/1.43 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.21/1.43 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.21/1.43 apply (zenon_L643_); trivial. % 1.21/1.43 apply (zenon_L188_); trivial. % 1.21/1.43 (* end of lemma zenon_L644_ *) % 1.21/1.43 assert (zenon_L645_ : ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> (c1_1 (a586)) -> (forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40)))))) -> (~(c3_1 (a586))) -> (ndr1_0) -> (~(hskp4)) -> (~(hskp17)) -> False). % 1.21/1.43 do 0 intro. intros zenon_H289 zenon_H2ca zenon_H14a zenon_H2c8 zenon_Hf zenon_H17f zenon_Ha. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H28a ]. % 1.21/1.43 apply (zenon_L636_); trivial. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H180 | zenon_intro zenon_Hb ]. % 1.21/1.43 exact (zenon_H17f zenon_H180). % 1.21/1.43 exact (zenon_Ha zenon_Hb). % 1.21/1.43 (* end of lemma zenon_L645_ *) % 1.21/1.43 assert (zenon_L646_ : ((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(hskp17)) -> (~(hskp4)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(hskp12)) -> False). % 1.21/1.43 do 0 intro. intros zenon_H61 zenon_H155 zenon_Ha zenon_H17f zenon_H289 zenon_Hcc zenon_Hcb zenon_Hca zenon_H174 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H46. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_Hf. zenon_intro zenon_H63. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H11. zenon_intro zenon_H64. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14a | zenon_intro zenon_H158 ]. % 1.21/1.43 apply (zenon_L645_); trivial. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H6b ]. % 1.21/1.43 apply (zenon_L51_); trivial. % 1.21/1.43 apply (zenon_L625_); trivial. % 1.21/1.43 (* end of lemma zenon_L646_ *) % 1.21/1.43 assert (zenon_L647_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a586)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (~(hskp4)) -> (~(hskp17)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> (~(hskp12)) -> (~(hskp8)) -> ((hskp26)\/((hskp12)\/(hskp8))) -> False). % 1.21/1.43 do 0 intro. intros zenon_H66 zenon_H155 zenon_H2c9 zenon_H174 zenon_Hcc zenon_Hcb zenon_Hca zenon_H2c8 zenon_H2ca zenon_H17f zenon_Ha zenon_H289 zenon_H46 zenon_H40 zenon_H48. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.21/1.43 apply (zenon_L19_); trivial. % 1.21/1.43 apply (zenon_L646_); trivial. % 1.21/1.43 (* end of lemma zenon_L647_ *) % 1.21/1.43 assert (zenon_L648_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (ndr1_0) -> (~(hskp5)) -> (~(hskp24)) -> False). % 1.21/1.43 do 0 intro. intros zenon_H1eb zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H6b zenon_H4d zenon_H4c zenon_H4b zenon_H1f6 zenon_H160 zenon_H15f zenon_Hf zenon_H125 zenon_H1f4. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1ec ]. % 1.21/1.43 apply (zenon_L624_); trivial. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H18f ]. % 1.21/1.43 apply (zenon_L20_); trivial. % 1.21/1.43 apply (zenon_L181_); trivial. % 1.21/1.43 (* end of lemma zenon_L648_ *) % 1.21/1.43 assert (zenon_L649_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (c2_1 (a586)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> False). % 1.21/1.43 do 0 intro. intros zenon_H8b zenon_H207 zenon_H203 zenon_Hfb zenon_H2ca zenon_H2c8 zenon_H92 zenon_H91 zenon_H90 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1eb zenon_H15f zenon_H160 zenon_H125 zenon_H1f6 zenon_H2c9 zenon_H155. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H202 ]. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14a | zenon_intro zenon_H158 ]. % 1.21/1.43 apply (zenon_L642_); trivial. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H6b ]. % 1.21/1.43 apply (zenon_L51_); trivial. % 1.21/1.43 apply (zenon_L648_); trivial. % 1.21/1.43 apply (zenon_L183_); trivial. % 1.21/1.43 (* end of lemma zenon_L649_ *) % 1.21/1.43 assert (zenon_L650_ : ((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> (~(hskp9)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> False). % 1.21/1.43 do 0 intro. intros zenon_H1bc zenon_H1e1 zenon_H13b zenon_H1e0 zenon_H208 zenon_H17f zenon_H15a zenon_H5f zenon_H1d2 zenon_H203 zenon_H2ca zenon_H2c8 zenon_Hca zenon_Hcb zenon_Hcc zenon_H155 zenon_H77 zenon_H40 zenon_H15e zenon_H15f zenon_H160 zenon_H85 zenon_H8a. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.21/1.43 apply (zenon_L115_); trivial. % 1.21/1.43 apply (zenon_L644_); trivial. % 1.21/1.43 (* end of lemma zenon_L650_ *) % 1.21/1.43 assert (zenon_L651_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp3))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (~(hskp4)) -> (~(hskp10)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.21/1.43 do 0 intro. intros zenon_H197 zenon_H198 zenon_H8e zenon_H15c zenon_H184 zenon_H185 zenon_H186 zenon_H15a zenon_H18d zenon_Hd5 zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H1e5 zenon_H17f zenon_H1a zenon_H5f zenon_H62 zenon_Hc0 zenon_H6a. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.21/1.43 apply (zenon_L634_); trivial. % 1.21/1.43 apply (zenon_L125_); trivial. % 1.21/1.43 (* end of lemma zenon_L651_ *) % 1.21/1.43 assert (zenon_L652_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (ndr1_0) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> False). % 1.21/1.43 do 0 intro. intros zenon_H30 zenon_H192 zenon_Hd3 zenon_H186 zenon_H185 zenon_H184 zenon_Hf zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H83 zenon_H1e7. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.21/1.43 apply (zenon_L635_); trivial. % 1.21/1.43 apply (zenon_L201_); trivial. % 1.21/1.43 (* end of lemma zenon_L652_ *) % 1.21/1.43 assert (zenon_L653_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/((hskp3)\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((hskp26)\/(hskp11)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.21/1.43 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H198 zenon_H15c zenon_H30 zenon_H192 zenon_H186 zenon_H185 zenon_H184 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1e7 zenon_H8e zenon_H207 zenon_H203 zenon_H1eb zenon_H125 zenon_H1f6 zenon_H155 zenon_H15a zenon_H18d zenon_H1d2 zenon_H17f zenon_H208 zenon_H1e0 zenon_H13b zenon_H1e1 zenon_H31 zenon_H5 zenon_H5f zenon_H62 zenon_H66 zenon_H6a. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.21/1.43 apply (zenon_L106_); trivial. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.21/1.43 apply (zenon_L652_); trivial. % 1.21/1.43 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.21/1.43 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.21/1.43 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.43 apply (zenon_L120_); trivial. % 1.21/1.43 apply (zenon_L649_); trivial. % 1.21/1.43 apply (zenon_L188_); trivial. % 1.21/1.43 apply (zenon_L125_); trivial. % 1.21/1.43 (* end of lemma zenon_L653_ *) % 1.21/1.43 assert (zenon_L654_ : ((ndr1_0)/\((c1_1 (a593))/\((c3_1 (a593))/\(~(c2_1 (a593)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp3)\/(hskp4))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp3))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> (~(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((hskp26)\/(hskp11)) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/((hskp3)\/(hskp4))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> False). % 1.21/1.43 do 0 intro. intros zenon_H19f zenon_H1a0 zenon_H181 zenon_H19b zenon_H198 zenon_H15c zenon_Hd5 zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H1e5 zenon_H17f zenon_Hc0 zenon_H18d zenon_H15a zenon_H66 zenon_H62 zenon_H54 zenon_H5 zenon_H6a zenon_H8e zenon_H31 zenon_H1e1 zenon_H13b zenon_H1e0 zenon_H208 zenon_H1d2 zenon_H155 zenon_H1f6 zenon_H125 zenon_H1eb zenon_H203 zenon_H207 zenon_H1e7 zenon_H192 zenon_H30 zenon_H209. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.21/1.43 apply (zenon_L122_); trivial. % 1.21/1.43 apply (zenon_L651_); trivial. % 1.21/1.43 apply (zenon_L653_); trivial. % 1.21/1.43 apply (zenon_L128_); trivial. % 1.21/1.43 (* end of lemma zenon_L654_ *) % 1.21/1.43 assert (zenon_L655_ : ((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> False). % 1.21/1.43 do 0 intro. intros zenon_H61 zenon_Hc0 zenon_H1c zenon_H1a zenon_H237 zenon_H22c zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_Hf. zenon_intro zenon_H63. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H11. zenon_intro zenon_H64. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.21/1.43 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H1c4 ]. % 1.21/1.43 apply (zenon_L218_); trivial. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H1c0 | zenon_intro zenon_Hae ]. % 1.21/1.43 apply (zenon_L629_); trivial. % 1.21/1.43 exact (zenon_Had zenon_Hae). % 1.21/1.43 apply (zenon_L48_); trivial. % 1.21/1.43 (* end of lemma zenon_L655_ *) % 1.21/1.43 assert (zenon_L656_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(hskp11)) -> ((hskp26)\/(hskp11)) -> False). % 1.21/1.43 do 0 intro. intros zenon_H66 zenon_Hc0 zenon_H1c zenon_H1a zenon_H237 zenon_H22c zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3 zenon_H3 zenon_H5. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.21/1.43 apply (zenon_L3_); trivial. % 1.21/1.43 apply (zenon_L655_); trivial. % 1.21/1.43 (* end of lemma zenon_L656_ *) % 1.21/1.43 assert (zenon_L657_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))) -> (ndr1_0) -> (~(hskp16)) -> False). % 1.21/1.43 do 0 intro. intros zenon_H107 zenon_H237 zenon_H22c zenon_H22b zenon_Hd8 zenon_Hd7 zenon_H6b zenon_Hf zenon_Hfb. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hec | zenon_intro zenon_H109 ]. % 1.21/1.43 apply (zenon_L226_); trivial. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_He0 | zenon_intro zenon_Hfc ]. % 1.21/1.43 apply (zenon_L56_); trivial. % 1.21/1.43 exact (zenon_Hfb zenon_Hfc). % 1.21/1.43 (* end of lemma zenon_L657_ *) % 1.21/1.43 assert (zenon_L658_ : ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (ndr1_0) -> (~(hskp16)) -> False). % 1.21/1.43 do 0 intro. intros zenon_H155 zenon_H2c8 zenon_H2ca zenon_H90 zenon_H91 zenon_H92 zenon_H203 zenon_Hcc zenon_Hcb zenon_Hca zenon_H107 zenon_H237 zenon_H22c zenon_H22b zenon_Hd8 zenon_Hd7 zenon_Hf zenon_Hfb. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14a | zenon_intro zenon_H158 ]. % 1.21/1.43 apply (zenon_L642_); trivial. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H6b ]. % 1.21/1.43 apply (zenon_L51_); trivial. % 1.21/1.43 apply (zenon_L657_); trivial. % 1.21/1.43 (* end of lemma zenon_L658_ *) % 1.21/1.43 assert (zenon_L659_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> (~(hskp9)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> False). % 1.21/1.43 do 0 intro. intros zenon_Hc6 zenon_H13b zenon_H1e0 zenon_H208 zenon_H17f zenon_H15a zenon_H5f zenon_H1d2 zenon_H203 zenon_H2ca zenon_H2c8 zenon_Hca zenon_Hcb zenon_Hcc zenon_H107 zenon_Hd8 zenon_Hd7 zenon_H237 zenon_H22c zenon_H22b zenon_H155. % 1.21/1.43 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.21/1.43 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.21/1.43 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.21/1.43 apply (zenon_L658_); trivial. % 1.21/1.43 apply (zenon_L188_); trivial. % 1.21/1.43 (* end of lemma zenon_L659_ *) % 1.21/1.43 assert (zenon_L660_ : ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10)))))) -> (~(c3_1 (a586))) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp8)) -> False). % 1.21/1.43 do 0 intro. intros zenon_H77 zenon_H2c9 zenon_H2ca zenon_H167 zenon_H2c8 zenon_Hf zenon_H75 zenon_H40. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H6b | zenon_intro zenon_H78 ]. % 1.21/1.43 apply (zenon_L624_); trivial. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H76 | zenon_intro zenon_H41 ]. % 1.21/1.43 exact (zenon_H75 zenon_H76). % 1.21/1.43 exact (zenon_H40 zenon_H41). % 1.21/1.43 (* end of lemma zenon_L660_ *) % 1.21/1.43 assert (zenon_L661_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (~(hskp27)) -> (~(hskp8)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (ndr1_0) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> False). % 1.21/1.43 do 0 intro. intros zenon_H30 zenon_H1eb zenon_H4d zenon_H4c zenon_H4b zenon_H75 zenon_H40 zenon_H77 zenon_Hf zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H83 zenon_H1e7. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.21/1.43 apply (zenon_L635_); trivial. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hf. zenon_intro zenon_H33. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H1f. zenon_intro zenon_H34. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1ec ]. % 1.21/1.43 apply (zenon_L660_); trivial. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H18f ]. % 1.21/1.43 apply (zenon_L20_); trivial. % 1.21/1.43 apply (zenon_L173_); trivial. % 1.21/1.43 (* end of lemma zenon_L661_ *) % 1.21/1.43 assert (zenon_L662_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.21/1.43 do 0 intro. intros zenon_H8b zenon_H8a zenon_H85 zenon_H160 zenon_H15f zenon_H15e zenon_H1e7 zenon_H83 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H77 zenon_H40 zenon_H1eb zenon_H30. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.21/1.43 apply (zenon_L661_); trivial. % 1.21/1.43 apply (zenon_L113_); trivial. % 1.21/1.43 (* end of lemma zenon_L662_ *) % 1.21/1.43 assert (zenon_L663_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> (~(hskp8)) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> (~(c3_1 (a586))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(hskp3)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/((hskp3)\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((hskp26)\/(hskp11)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.21/1.43 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H1bf zenon_H40 zenon_H48 zenon_Hd5 zenon_H8e zenon_H8a zenon_H85 zenon_H77 zenon_H1b5 zenon_H2c8 zenon_H2c9 zenon_H2ca zenon_H15a zenon_H2d6 zenon_H1e7 zenon_H1eb zenon_H18d zenon_H155 zenon_H30 zenon_H12c zenon_H22b zenon_H22c zenon_H237 zenon_H107 zenon_H203 zenon_H1d2 zenon_H17f zenon_H208 zenon_H1e0 zenon_H13b zenon_H1e1 zenon_H198 zenon_H31 zenon_H5 zenon_H5f zenon_H62 zenon_H66 zenon_H6a. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.21/1.43 apply (zenon_L106_); trivial. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.21/1.43 apply (zenon_L153_); trivial. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.43 apply (zenon_L640_); trivial. % 1.21/1.43 apply (zenon_L662_); trivial. % 1.21/1.43 apply (zenon_L659_); trivial. % 1.21/1.43 apply (zenon_L650_); trivial. % 1.21/1.43 (* end of lemma zenon_L663_ *) % 1.21/1.43 assert (zenon_L664_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c0_1 (a595))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> False). % 1.21/1.43 do 0 intro. intros zenon_H104 zenon_H178 zenon_H177 zenon_H119 zenon_H176 zenon_H237 zenon_H22c zenon_H22b zenon_Hf zenon_Hca zenon_Hcb zenon_Hcc. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H105 ]. % 1.21/1.43 apply (zenon_L343_); trivial. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hec | zenon_intro zenon_Hc9 ]. % 1.21/1.43 apply (zenon_L226_); trivial. % 1.21/1.43 apply (zenon_L51_); trivial. % 1.21/1.43 (* end of lemma zenon_L664_ *) % 1.21/1.43 assert (zenon_L665_ : ((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> False). % 1.21/1.43 do 0 intro. intros zenon_H87 zenon_Hc0 zenon_H24f zenon_H1a zenon_H1c zenon_H176 zenon_H177 zenon_H178 zenon_H22b zenon_H22c zenon_H237 zenon_H104 zenon_Hca zenon_Hcb zenon_Hcc zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.21/1.43 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.21/1.43 apply (zenon_L630_); trivial. % 1.21/1.43 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.21/1.43 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.21/1.43 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.21/1.43 apply (zenon_L664_); trivial. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.21/1.43 apply (zenon_L306_); trivial. % 1.21/1.43 apply (zenon_L31_); trivial. % 1.21/1.43 (* end of lemma zenon_L665_ *) % 1.21/1.43 assert (zenon_L666_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> (~(c0_1 (a590))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> ((hskp26)\/(hskp11)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.21/1.43 do 0 intro. intros zenon_H19b zenon_H1bf zenon_H8a zenon_H24f zenon_H176 zenon_H177 zenon_H178 zenon_H22b zenon_H104 zenon_H77 zenon_H48 zenon_H40 zenon_H5 zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H22c zenon_H237 zenon_H1a zenon_H1c zenon_Hc0 zenon_H66. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.21/1.43 apply (zenon_L656_); trivial. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.21/1.43 apply (zenon_L632_); trivial. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.21/1.43 apply (zenon_L30_); trivial. % 1.21/1.43 apply (zenon_L665_); trivial. % 1.21/1.43 (* end of lemma zenon_L666_ *) % 1.21/1.43 assert (zenon_L667_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> (c3_1 (a636)) -> (~(c1_1 (a636))) -> (~(c0_1 (a636))) -> (~(hskp27)) -> (ndr1_0) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(hskp8)) -> False). % 1.21/1.43 do 0 intro. intros zenon_H255 zenon_H39 zenon_H38 zenon_H37 zenon_H75 zenon_Hf zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H77 zenon_H40. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H36 | zenon_intro zenon_H256 ]. % 1.21/1.43 apply (zenon_L14_); trivial. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H167 | zenon_intro zenon_H41 ]. % 1.21/1.43 apply (zenon_L660_); trivial. % 1.21/1.43 exact (zenon_H40 zenon_H41). % 1.21/1.43 (* end of lemma zenon_L667_ *) % 1.21/1.43 assert (zenon_L668_ : ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> (ndr1_0) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> (~(hskp11)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> False). % 1.21/1.43 do 0 intro. intros zenon_H6a zenon_H8a zenon_H85 zenon_H83 zenon_H77 zenon_H40 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H255 zenon_Hf zenon_H15e zenon_H15f zenon_H160 zenon_H3 zenon_H31. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.21/1.43 apply (zenon_L104_); trivial. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Hf. zenon_intro zenon_H68. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H39. zenon_intro zenon_H69. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H37. zenon_intro zenon_H38. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.21/1.43 apply (zenon_L667_); trivial. % 1.21/1.43 apply (zenon_L113_); trivial. % 1.21/1.43 (* end of lemma zenon_L668_ *) % 1.21/1.43 assert (zenon_L669_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(hskp12)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a586)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.21/1.43 do 0 intro. intros zenon_H8e zenon_H8a zenon_H85 zenon_H160 zenon_H15f zenon_H15e zenon_H1e7 zenon_H83 zenon_H77 zenon_H1eb zenon_H30 zenon_H48 zenon_H40 zenon_H46 zenon_H289 zenon_H17f zenon_H2ca zenon_H2c8 zenon_Hca zenon_Hcb zenon_Hcc zenon_H174 zenon_H2c9 zenon_H155 zenon_H66. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.21/1.43 apply (zenon_L647_); trivial. % 1.21/1.43 apply (zenon_L662_); trivial. % 1.21/1.43 (* end of lemma zenon_L669_ *) % 1.21/1.43 assert (zenon_L670_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> False). % 1.21/1.43 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H1bf zenon_H8e zenon_H1e7 zenon_H1eb zenon_H30 zenon_H48 zenon_H289 zenon_H17f zenon_H174 zenon_H155 zenon_H66 zenon_H6a zenon_H8a zenon_H85 zenon_H77 zenon_H40 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H255 zenon_H31 zenon_H176 zenon_H177 zenon_H178 zenon_Hb1 zenon_Hc1 zenon_H1e1. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.21/1.43 apply (zenon_L668_); trivial. % 1.21/1.43 apply (zenon_L198_); trivial. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.21/1.43 apply (zenon_L669_); trivial. % 1.21/1.43 apply (zenon_L198_); trivial. % 1.21/1.43 apply (zenon_L241_); trivial. % 1.21/1.43 (* end of lemma zenon_L670_ *) % 1.21/1.43 assert (zenon_L671_ : ((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((hskp26)\/(hskp11)) -> (~(hskp8)) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a590))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> False). % 1.21/1.43 do 0 intro. intros zenon_H19c zenon_H209 zenon_H8e zenon_H1e7 zenon_H1eb zenon_H30 zenon_H289 zenon_H17f zenon_H174 zenon_H155 zenon_H6a zenon_H85 zenon_H255 zenon_H31 zenon_Hb1 zenon_Hc1 zenon_H1e1 zenon_H66 zenon_Hc0 zenon_H1c zenon_H237 zenon_H22c zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3 zenon_H5 zenon_H40 zenon_H48 zenon_H77 zenon_H104 zenon_H22b zenon_H24f zenon_H8a zenon_H1bf zenon_H19b. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.21/1.43 apply (zenon_L666_); trivial. % 1.21/1.43 apply (zenon_L670_); trivial. % 1.21/1.43 (* end of lemma zenon_L671_ *) % 1.21/1.43 assert (zenon_L672_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> (~(hskp7)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp14)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.21/1.43 do 0 intro. intros zenon_H1e1 zenon_Hbf zenon_H6a zenon_H66 zenon_H62 zenon_H5f zenon_H265 zenon_Hca zenon_Hcb zenon_Hcc zenon_Hd5 zenon_H8 zenon_H9b zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hf zenon_H184 zenon_H185 zenon_H186 zenon_Hd3 zenon_H192 zenon_H30. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.21/1.43 apply (zenon_L652_); trivial. % 1.21/1.43 apply (zenon_L239_); trivial. % 1.21/1.43 (* end of lemma zenon_L672_ *) % 1.21/1.43 assert (zenon_L673_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> (~(hskp7)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> False). % 1.21/1.43 do 0 intro. intros zenon_H197 zenon_H198 zenon_H8e zenon_H15c zenon_H15a zenon_H18d zenon_H30 zenon_H192 zenon_H186 zenon_H185 zenon_H184 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1e7 zenon_H9b zenon_H8 zenon_Hd5 zenon_H265 zenon_H5f zenon_H62 zenon_H66 zenon_H6a zenon_Hbf zenon_H1e1. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.21/1.43 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.21/1.43 apply (zenon_L672_); trivial. % 1.21/1.43 apply (zenon_L125_); trivial. % 1.21/1.43 (* end of lemma zenon_L673_ *) % 1.21/1.43 assert (zenon_L674_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> (~(hskp7)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> (~(hskp3)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (ndr1_0) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((hskp26)\/(hskp11)) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.21/1.43 do 0 intro. intros zenon_H19b zenon_H198 zenon_H15c zenon_H30 zenon_H192 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1e7 zenon_H9b zenon_H8 zenon_Hd5 zenon_H265 zenon_Hbf zenon_H1e1 zenon_H18d zenon_H15a zenon_H186 zenon_H185 zenon_H184 zenon_Hf zenon_H66 zenon_H62 zenon_H5f zenon_H54 zenon_H5 zenon_H6a zenon_H8e. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.21/1.43 apply (zenon_L122_); trivial. % 1.21/1.43 apply (zenon_L673_); trivial. % 1.21/1.43 (* end of lemma zenon_L674_ *) % 1.21/1.43 assert (zenon_L675_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp14)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.21/1.43 do 0 intro. intros zenon_H1e1 zenon_Hc1 zenon_Hb1 zenon_H178 zenon_H177 zenon_H176 zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hf zenon_H184 zenon_H185 zenon_H186 zenon_Hd3 zenon_H192 zenon_H30. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.21/1.43 apply (zenon_L652_); trivial. % 1.21/1.43 apply (zenon_L198_); trivial. % 1.21/1.43 (* end of lemma zenon_L675_ *) % 1.21/1.43 assert (zenon_L676_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16))))) -> (~(hskp16)) -> False). % 1.21/1.43 do 0 intro. intros zenon_H287 zenon_H184 zenon_H186 zenon_H185 zenon_H79 zenon_H178 zenon_H177 zenon_H176 zenon_Hf zenon_Hf5 zenon_Hfb. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H10a | zenon_intro zenon_H288 ]. % 1.21/1.43 apply (zenon_L207_); trivial. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H1c5 | zenon_intro zenon_Hfc ]. % 1.21/1.43 apply (zenon_L191_); trivial. % 1.21/1.43 exact (zenon_Hfb zenon_Hfc). % 1.21/1.43 (* end of lemma zenon_L676_ *) % 1.21/1.43 assert (zenon_L677_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp16)) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> False). % 1.21/1.43 do 0 intro. intros zenon_H24f zenon_H104 zenon_Hfb zenon_H176 zenon_H177 zenon_H178 zenon_H185 zenon_H186 zenon_H184 zenon_H287 zenon_H237 zenon_H22c zenon_H22b zenon_Hf zenon_Hca zenon_Hcb zenon_Hcc. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.21/1.43 apply (zenon_L664_); trivial. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.21/1.43 apply (zenon_L226_); trivial. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H105 ]. % 1.21/1.43 apply (zenon_L676_); trivial. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hec | zenon_intro zenon_Hc9 ]. % 1.21/1.43 apply (zenon_L226_); trivial. % 1.21/1.43 apply (zenon_L51_); trivial. % 1.21/1.43 (* end of lemma zenon_L677_ *) % 1.21/1.43 assert (zenon_L678_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (ndr1_0) -> (~(hskp18)) -> False). % 1.21/1.43 do 0 intro. intros zenon_H24f zenon_Hcc zenon_Hcb zenon_Hca zenon_H176 zenon_H177 zenon_H178 zenon_H104 zenon_H237 zenon_H22c zenon_H22b zenon_H102 zenon_H184 zenon_H186 zenon_H185 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_Hf zenon_H100. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.21/1.43 apply (zenon_L664_); trivial. % 1.21/1.43 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.21/1.43 apply (zenon_L226_); trivial. % 1.21/1.43 apply (zenon_L498_); trivial. % 1.21/1.43 (* end of lemma zenon_L678_ *) % 1.21/1.43 assert (zenon_L679_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> (~(c2_1 (a606))) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> (~(hskp27)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> False). % 1.21/1.43 do 0 intro. intros zenon_Hc0 zenon_H104 zenon_H1a zenon_H1c zenon_H10b zenon_H10c zenon_H114 zenon_H12e zenon_H130 zenon_H12f zenon_H75 zenon_H285 zenon_Hf zenon_Hca zenon_Hcb zenon_Hcc zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3. % 1.21/1.43 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.21/1.43 apply (zenon_L630_); trivial. % 1.21/1.43 apply (zenon_L587_); trivial. % 1.21/1.43 (* end of lemma zenon_L679_ *) % 1.21/1.43 assert (zenon_L680_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> False). % 1.30/1.43 do 0 intro. intros zenon_H137 zenon_H12c zenon_H8a zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H285 zenon_H1c zenon_H1a zenon_Hc0 zenon_H104 zenon_Hcc zenon_Hcb zenon_Hca zenon_H237 zenon_H22c zenon_H22b zenon_H178 zenon_H177 zenon_H176 zenon_H102 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H184 zenon_H186 zenon_H185 zenon_H24f. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.30/1.43 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.30/1.43 apply (zenon_L678_); trivial. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.30/1.43 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.30/1.43 apply (zenon_L679_); trivial. % 1.30/1.43 apply (zenon_L665_); trivial. % 1.30/1.43 (* end of lemma zenon_L680_ *) % 1.30/1.43 assert (zenon_L681_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> False). % 1.30/1.43 do 0 intro. intros zenon_H137 zenon_H12c zenon_H8a zenon_H85 zenon_H83 zenon_H160 zenon_H15f zenon_H15e zenon_H285 zenon_H104 zenon_Hcc zenon_Hcb zenon_Hca zenon_H237 zenon_H22c zenon_H22b zenon_H178 zenon_H177 zenon_H176 zenon_H102 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H184 zenon_H186 zenon_H185 zenon_H24f. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.30/1.43 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.30/1.43 apply (zenon_L678_); trivial. % 1.30/1.43 apply (zenon_L369_); trivial. % 1.30/1.43 (* end of lemma zenon_L681_ *) % 1.30/1.43 assert (zenon_L682_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp15)\/(hskp11))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> False). % 1.30/1.43 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H198 zenon_H24f zenon_H287 zenon_H22b zenon_H22c zenon_H237 zenon_H104 zenon_H102 zenon_H285 zenon_H85 zenon_H8a zenon_H12c zenon_H13b zenon_H30 zenon_H192 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1e7 zenon_Hc1 zenon_Hb1 zenon_H184 zenon_H185 zenon_H186 zenon_H220 zenon_H178 zenon_H177 zenon_H176 zenon_H1e1. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.30/1.43 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.30/1.43 apply (zenon_L199_); trivial. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.30/1.43 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.30/1.43 apply (zenon_L675_); trivial. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.30/1.43 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.30/1.43 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.30/1.43 apply (zenon_L677_); trivial. % 1.30/1.43 apply (zenon_L681_); trivial. % 1.30/1.43 apply (zenon_L198_); trivial. % 1.30/1.43 (* end of lemma zenon_L682_ *) % 1.30/1.43 assert (zenon_L683_ : ((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp15)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((hskp26)\/(hskp11)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(c0_1 (a590))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> False). % 1.30/1.43 do 0 intro. intros zenon_H19c zenon_H209 zenon_H85 zenon_H220 zenon_H66 zenon_Hc0 zenon_H1c zenon_H237 zenon_H22c zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3 zenon_H5 zenon_H1e1 zenon_Hc1 zenon_Hb1 zenon_H1e7 zenon_H184 zenon_H185 zenon_H186 zenon_H192 zenon_H30 zenon_H24f zenon_H287 zenon_H22b zenon_H104 zenon_H102 zenon_H285 zenon_H8a zenon_H12c zenon_H13b zenon_H198 zenon_H19b. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.30/1.43 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.30/1.43 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.30/1.43 apply (zenon_L656_); trivial. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.30/1.43 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.30/1.43 apply (zenon_L675_); trivial. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.30/1.43 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.30/1.43 apply (zenon_L677_); trivial. % 1.30/1.43 apply (zenon_L680_); trivial. % 1.30/1.43 apply (zenon_L682_); trivial. % 1.30/1.43 (* end of lemma zenon_L683_ *) % 1.30/1.43 assert (zenon_L684_ : ((ndr1_0)/\((c1_1 (a593))/\((c3_1 (a593))/\(~(c2_1 (a593)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp15)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(c0_1 (a590))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((hskp26)\/(hskp11)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> (~(hskp7)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp3))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> False). % 1.30/1.43 do 0 intro. intros zenon_H19f zenon_H1a0 zenon_H209 zenon_H85 zenon_H220 zenon_Hc0 zenon_H1c zenon_H237 zenon_H22c zenon_H1c3 zenon_Hc1 zenon_Hb1 zenon_H24f zenon_H287 zenon_H22b zenon_H104 zenon_H102 zenon_H285 zenon_H8a zenon_H12c zenon_H13b zenon_H8e zenon_H6a zenon_H5 zenon_H54 zenon_H62 zenon_H66 zenon_H15a zenon_H18d zenon_H1e1 zenon_Hbf zenon_H265 zenon_Hd5 zenon_H8 zenon_H9b zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H192 zenon_H30 zenon_H15c zenon_H198 zenon_H19b. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.30/1.43 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.30/1.43 apply (zenon_L674_); trivial. % 1.30/1.43 apply (zenon_L683_); trivial. % 1.30/1.43 (* end of lemma zenon_L684_ *) % 1.30/1.43 assert (zenon_L685_ : ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(hskp17)) -> (~(hskp4)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (ndr1_0) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> False). % 1.30/1.43 do 0 intro. intros zenon_H155 zenon_Ha zenon_H17f zenon_H2c8 zenon_H2ca zenon_H289 zenon_Hcc zenon_Hcb zenon_Hca zenon_Hf zenon_H6c zenon_H6d zenon_H6e. % 1.30/1.43 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14a | zenon_intro zenon_H158 ]. % 1.30/1.43 apply (zenon_L645_); trivial. % 1.30/1.43 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H6b ]. % 1.30/1.43 apply (zenon_L51_); trivial. % 1.30/1.43 apply (zenon_L28_); trivial. % 1.30/1.43 (* end of lemma zenon_L685_ *) % 1.30/1.43 assert (zenon_L686_ : ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp18)) -> False). % 1.30/1.43 do 0 intro. intros zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hf zenon_H6 zenon_H100. % 1.30/1.43 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H28e ]. % 1.30/1.43 apply (zenon_L629_); trivial. % 1.30/1.43 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H7 | zenon_intro zenon_H101 ]. % 1.30/1.43 exact (zenon_H6 zenon_H7). % 1.30/1.43 exact (zenon_H100 zenon_H101). % 1.30/1.43 (* end of lemma zenon_L686_ *) % 1.30/1.43 assert (zenon_L687_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> (~(c2_1 (a606))) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (ndr1_0) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(hskp18)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> False). % 1.30/1.43 do 0 intro. intros zenon_H30 zenon_H104 zenon_Hcc zenon_Hcb zenon_Hca zenon_H237 zenon_H22c zenon_H22b zenon_H4b zenon_H4c zenon_H4d zenon_H12e zenon_H130 zenon_H12f zenon_H274 zenon_Hf zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H100 zenon_H28d. % 1.30/1.43 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.30/1.43 apply (zenon_L686_); trivial. % 1.30/1.43 apply (zenon_L466_); trivial. % 1.30/1.43 (* end of lemma zenon_L687_ *) % 1.30/1.43 assert (zenon_L688_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.30/1.43 do 0 intro. intros zenon_H8b zenon_H12c zenon_H8a zenon_Hc1 zenon_Hb1 zenon_H92 zenon_H91 zenon_H90 zenon_H1eb zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H24f zenon_H285 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H274 zenon_H12f zenon_H130 zenon_H12e zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H30. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.30/1.43 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.30/1.43 apply (zenon_L687_); trivial. % 1.30/1.43 apply (zenon_L470_); trivial. % 1.30/1.43 (* end of lemma zenon_L688_ *) % 1.30/1.43 assert (zenon_L689_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> False). % 1.30/1.43 do 0 intro. intros zenon_Hc6 zenon_H13b zenon_H8e zenon_H12c zenon_H8a zenon_Hc1 zenon_Hb1 zenon_H1eb zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H24f zenon_H285 zenon_H28d zenon_H2c9 zenon_H274 zenon_H22b zenon_H22c zenon_H237 zenon_H104 zenon_H30 zenon_H289 zenon_H17f zenon_H203 zenon_H2ca zenon_H2c8 zenon_Hca zenon_Hcb zenon_Hcc zenon_H6c zenon_H6d zenon_H6e zenon_H155. % 1.30/1.43 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.30/1.43 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.30/1.43 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.30/1.43 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.30/1.43 apply (zenon_L643_); trivial. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.30/1.43 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.30/1.43 apply (zenon_L685_); trivial. % 1.30/1.43 apply (zenon_L688_); trivial. % 1.30/1.43 (* end of lemma zenon_L689_ *) % 1.30/1.43 assert (zenon_L690_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a586)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (~(hskp4)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> (~(hskp12)) -> (~(hskp8)) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.30/1.43 do 0 intro. intros zenon_H1e1 zenon_Hc1 zenon_Hb1 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H66 zenon_H155 zenon_H2c9 zenon_H174 zenon_Hcc zenon_Hcb zenon_Hca zenon_H2c8 zenon_H2ca zenon_H17f zenon_H289 zenon_H46 zenon_H40 zenon_H48 zenon_H30 zenon_H1eb zenon_H77 zenon_H1e7 zenon_H15e zenon_H15f zenon_H160 zenon_H85 zenon_H8a zenon_H8e. % 1.30/1.43 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.30/1.43 apply (zenon_L669_); trivial. % 1.30/1.43 apply (zenon_L162_); trivial. % 1.30/1.43 (* end of lemma zenon_L690_ *) % 1.30/1.43 assert (zenon_L691_ : ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(hskp4)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (~(c0_1 (a590))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> ((hskp26)\/(hskp11)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> False). % 1.30/1.43 do 0 intro. intros zenon_H1a0 zenon_H255 zenon_H19b zenon_H1bf zenon_H1e1 zenon_H13b zenon_H12c zenon_Hc1 zenon_Hb1 zenon_H285 zenon_H28d zenon_H274 zenon_H104 zenon_H203 zenon_H155 zenon_H17f zenon_H289 zenon_H30 zenon_H1eb zenon_H77 zenon_H1e7 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H22b zenon_H24f zenon_H8a zenon_H8e zenon_H48 zenon_H40 zenon_H5 zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H22c zenon_H237 zenon_H1c zenon_Hc0 zenon_H66 zenon_H6a zenon_H62 zenon_H31 zenon_H174 zenon_H85 zenon_H209. % 1.30/1.43 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.30/1.43 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.30/1.43 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.30/1.43 apply (zenon_L656_); trivial. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.30/1.43 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.30/1.43 apply (zenon_L632_); trivial. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.30/1.43 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.30/1.43 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.30/1.43 apply (zenon_L685_); trivial. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.30/1.43 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.30/1.43 apply (zenon_L661_); trivial. % 1.30/1.43 apply (zenon_L245_); trivial. % 1.30/1.43 apply (zenon_L689_); trivial. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.30/1.43 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.30/1.43 apply (zenon_L106_); trivial. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.30/1.43 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.30/1.43 apply (zenon_L690_); trivial. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.30/1.43 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.30/1.43 apply (zenon_L115_); trivial. % 1.30/1.43 apply (zenon_L689_); trivial. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.30/1.43 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.30/1.43 apply (zenon_L666_); trivial. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.30/1.43 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.30/1.43 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.30/1.43 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.30/1.43 apply (zenon_L668_); trivial. % 1.30/1.43 apply (zenon_L580_); trivial. % 1.30/1.43 apply (zenon_L241_); trivial. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.30/1.43 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.30/1.43 apply (zenon_L690_); trivial. % 1.30/1.43 apply (zenon_L241_); trivial. % 1.30/1.43 (* end of lemma zenon_L691_ *) % 1.30/1.43 assert (zenon_L692_ : ((ndr1_0)/\((c1_1 (a593))/\((c3_1 (a593))/\(~(c2_1 (a593)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp3)\/(hskp4))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (~(hskp4)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((hskp26)\/(hskp11)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/((hskp3)\/(hskp4))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> False). % 1.30/1.43 do 0 intro. intros zenon_H19f zenon_H1a0 zenon_H181 zenon_H19b zenon_H198 zenon_H8e zenon_H15c zenon_H15a zenon_H18d zenon_Hd5 zenon_H1e5 zenon_H17f zenon_H62 zenon_H6a zenon_H5 zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H22c zenon_H237 zenon_H1c zenon_Hc0 zenon_H66 zenon_H31 zenon_H1e1 zenon_H13b zenon_H1e0 zenon_H208 zenon_H1d2 zenon_H155 zenon_H1f6 zenon_H125 zenon_H1eb zenon_H203 zenon_H207 zenon_H1e7 zenon_H192 zenon_H30 zenon_H209. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.30/1.43 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.30/1.43 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.30/1.43 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.30/1.43 apply (zenon_L656_); trivial. % 1.30/1.43 apply (zenon_L651_); trivial. % 1.30/1.43 apply (zenon_L653_); trivial. % 1.30/1.43 apply (zenon_L128_); trivial. % 1.30/1.43 (* end of lemma zenon_L692_ *) % 1.30/1.43 assert (zenon_L693_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (ndr1_0) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(hskp18)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> False). % 1.30/1.43 do 0 intro. intros zenon_H30 zenon_H274 zenon_H278 zenon_H277 zenon_H276 zenon_H4d zenon_H4c zenon_H4b zenon_Hf zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H100 zenon_H28d. % 1.30/1.43 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.30/1.43 apply (zenon_L686_); trivial. % 1.30/1.43 apply (zenon_L295_); trivial. % 1.30/1.43 (* end of lemma zenon_L693_ *) % 1.30/1.43 assert (zenon_L694_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.30/1.43 do 0 intro. intros zenon_H8b zenon_H12c zenon_H8a zenon_Hc0 zenon_H24f zenon_H1a zenon_H1c zenon_Hca zenon_Hcb zenon_Hcc zenon_H6c zenon_H6d zenon_H6e zenon_H1ba zenon_H285 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.30/1.43 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.30/1.43 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.30/1.43 apply (zenon_L693_); trivial. % 1.30/1.43 apply (zenon_L555_); trivial. % 1.30/1.43 (* end of lemma zenon_L694_ *) % 1.30/1.43 assert (zenon_L695_ : ((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> False). % 1.30/1.43 do 0 intro. intros zenon_H1bc zenon_H8e zenon_H12c zenon_H8a zenon_Hc0 zenon_H24f zenon_H1a zenon_H1c zenon_H1ba zenon_H285 zenon_H28d zenon_H2c9 zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30 zenon_H289 zenon_H17f zenon_H2ca zenon_H2c8 zenon_Hca zenon_Hcb zenon_Hcc zenon_H155. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.30/1.44 apply (zenon_L685_); trivial. % 1.30/1.44 apply (zenon_L694_); trivial. % 1.30/1.44 (* end of lemma zenon_L695_ *) % 1.30/1.44 assert (zenon_L696_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> (ndr1_0) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/((hskp0)\/(hskp11))) -> False). % 1.30/1.44 do 0 intro. intros zenon_H19b zenon_H1bf zenon_H8e zenon_H12c zenon_H8a zenon_H24f zenon_H1ba zenon_H285 zenon_H28d zenon_H274 zenon_H30 zenon_H289 zenon_H17f zenon_H155 zenon_H48 zenon_H40 zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H1a zenon_H1c zenon_Hc0 zenon_H66 zenon_Hf zenon_H276 zenon_H277 zenon_H278 zenon_H27f zenon_H281. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.30/1.44 apply (zenon_L267_); trivial. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.30/1.44 apply (zenon_L632_); trivial. % 1.30/1.44 apply (zenon_L695_); trivial. % 1.30/1.44 (* end of lemma zenon_L696_ *) % 1.30/1.44 assert (zenon_L697_ : ((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(c0_1 (a636))) -> (~(c1_1 (a636))) -> (c3_1 (a636)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> False). % 1.30/1.44 do 0 intro. intros zenon_H87 zenon_Hc0 zenon_H24f zenon_H37 zenon_H38 zenon_H39 zenon_H5f zenon_H62 zenon_H4b zenon_H4c zenon_H4d zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_Hca zenon_Hcb zenon_Hcc zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.30/1.44 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.30/1.44 apply (zenon_L630_); trivial. % 1.30/1.44 apply (zenon_L298_); trivial. % 1.30/1.44 (* end of lemma zenon_L697_ *) % 1.30/1.44 assert (zenon_L698_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (c3_1 (a598)) -> (c0_1 (a598)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.30/1.44 do 0 intro. intros zenon_H8b zenon_H12c zenon_H6a zenon_H8a zenon_Hc0 zenon_H24f zenon_H5f zenon_H62 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1c3 zenon_H285 zenon_H54 zenon_H160 zenon_H15f zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.30/1.44 apply (zenon_L693_); trivial. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.30/1.44 apply (zenon_L316_); trivial. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Hf. zenon_intro zenon_H68. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H39. zenon_intro zenon_H69. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H37. zenon_intro zenon_H38. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.30/1.44 apply (zenon_L278_); trivial. % 1.30/1.44 apply (zenon_L697_); trivial. % 1.30/1.44 (* end of lemma zenon_L698_ *) % 1.30/1.44 assert (zenon_L699_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp24))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (~(hskp4)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> False). % 1.30/1.44 do 0 intro. intros zenon_Hc6 zenon_H13b zenon_H8e zenon_H274 zenon_H160 zenon_H15e zenon_H15f zenon_Hb1 zenon_Hf9 zenon_H28b zenon_H278 zenon_H277 zenon_H276 zenon_H17f zenon_H289 zenon_H207 zenon_H203 zenon_H2ca zenon_H2c8 zenon_Hca zenon_Hcb zenon_Hcc zenon_H6c zenon_H6d zenon_H6e zenon_H155. % 1.30/1.44 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.30/1.44 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.30/1.44 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.30/1.44 apply (zenon_L643_); trivial. % 1.30/1.44 apply (zenon_L289_); trivial. % 1.30/1.44 (* end of lemma zenon_L699_ *) % 1.30/1.44 assert (zenon_L700_ : ((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp24))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (~(hskp4)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> False). % 1.30/1.44 do 0 intro. intros zenon_H1bc zenon_H1e1 zenon_H13b zenon_H8e zenon_H274 zenon_Hb1 zenon_Hf9 zenon_H28b zenon_H278 zenon_H277 zenon_H276 zenon_H17f zenon_H289 zenon_H207 zenon_H203 zenon_H2ca zenon_H2c8 zenon_Hca zenon_Hcb zenon_Hcc zenon_H155 zenon_H77 zenon_H40 zenon_H15e zenon_H15f zenon_H160 zenon_H85 zenon_H8a. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.30/1.44 apply (zenon_L115_); trivial. % 1.30/1.44 apply (zenon_L699_); trivial. % 1.30/1.44 (* end of lemma zenon_L700_ *) % 1.30/1.44 assert (zenon_L701_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> False). % 1.30/1.44 do 0 intro. intros zenon_H8b zenon_H30 zenon_H274 zenon_H278 zenon_H277 zenon_H276 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H83 zenon_H1e7. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.30/1.44 apply (zenon_L635_); trivial. % 1.30/1.44 apply (zenon_L295_); trivial. % 1.30/1.44 (* end of lemma zenon_L701_ *) % 1.30/1.44 assert (zenon_L702_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(hskp12)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a586)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.30/1.44 do 0 intro. intros zenon_H8e zenon_H30 zenon_H274 zenon_H278 zenon_H277 zenon_H276 zenon_H83 zenon_H1e7 zenon_H48 zenon_H40 zenon_H46 zenon_H289 zenon_H17f zenon_H2ca zenon_H2c8 zenon_Hca zenon_Hcb zenon_Hcc zenon_H174 zenon_H2c9 zenon_H155 zenon_H66. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.30/1.44 apply (zenon_L647_); trivial. % 1.30/1.44 apply (zenon_L701_); trivial. % 1.30/1.44 (* end of lemma zenon_L702_ *) % 1.30/1.44 assert (zenon_L703_ : ((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/((hskp0)\/(hskp11))) -> (~(hskp0)) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(hskp8)) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(hskp4)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> False). % 1.30/1.44 do 0 intro. intros zenon_H19c zenon_H209 zenon_H77 zenon_H85 zenon_H1e7 zenon_H174 zenon_Hb1 zenon_Hc1 zenon_H1e1 zenon_H281 zenon_H27f zenon_H278 zenon_H277 zenon_H276 zenon_H66 zenon_Hc0 zenon_H1c zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3 zenon_H40 zenon_H48 zenon_H155 zenon_H17f zenon_H289 zenon_H30 zenon_H274 zenon_H28d zenon_H285 zenon_H1ba zenon_H24f zenon_H8a zenon_H12c zenon_H8e zenon_H1bf zenon_H19b. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.30/1.44 apply (zenon_L696_); trivial. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.30/1.44 apply (zenon_L267_); trivial. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.30/1.44 apply (zenon_L702_); trivial. % 1.30/1.44 apply (zenon_L198_); trivial. % 1.30/1.44 apply (zenon_L241_); trivial. % 1.30/1.44 (* end of lemma zenon_L703_ *) % 1.30/1.44 assert (zenon_L704_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> (~(hskp7)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> (ndr1_0) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/((hskp0)\/(hskp11))) -> False). % 1.30/1.44 do 0 intro. intros zenon_H19b zenon_H198 zenon_H8e zenon_H15c zenon_H15a zenon_H18d zenon_H30 zenon_H192 zenon_H186 zenon_H185 zenon_H184 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1e7 zenon_H9b zenon_H8 zenon_Hd5 zenon_H265 zenon_H5f zenon_H62 zenon_H66 zenon_H6a zenon_Hbf zenon_H1e1 zenon_Hf zenon_H276 zenon_H277 zenon_H278 zenon_H27f zenon_H281. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.30/1.44 apply (zenon_L267_); trivial. % 1.30/1.44 apply (zenon_L673_); trivial. % 1.30/1.44 (* end of lemma zenon_L704_ *) % 1.30/1.44 assert (zenon_L705_ : ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> (ndr1_0) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/((hskp0)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((hskp26)\/(hskp11)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp24))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> False). % 1.30/1.44 do 0 intro. intros zenon_H1a0 zenon_H77 zenon_H1e7 zenon_H19b zenon_H1bf zenon_H8e zenon_H12c zenon_H8a zenon_H24f zenon_H1ba zenon_H285 zenon_H28d zenon_H274 zenon_H30 zenon_H289 zenon_H17f zenon_H155 zenon_H48 zenon_H40 zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H1c zenon_Hc0 zenon_H66 zenon_Hf zenon_H276 zenon_H277 zenon_H278 zenon_H27f zenon_H281 zenon_H6a zenon_H62 zenon_H5 zenon_H31 zenon_H1e1 zenon_Hc1 zenon_Hb1 zenon_H174 zenon_H1b5 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H85 zenon_H203 zenon_H207 zenon_H28b zenon_Hf9 zenon_H13b zenon_H209. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.30/1.44 apply (zenon_L696_); trivial. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.30/1.44 apply (zenon_L106_); trivial. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.30/1.44 apply (zenon_L286_); trivial. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.30/1.44 apply (zenon_L285_); trivial. % 1.30/1.44 apply (zenon_L699_); trivial. % 1.30/1.44 apply (zenon_L703_); trivial. % 1.30/1.44 (* end of lemma zenon_L705_ *) % 1.30/1.44 assert (zenon_L706_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp11)) -> ((hskp26)\/(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp14)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.30/1.44 do 0 intro. intros zenon_H1e1 zenon_H66 zenon_Hc1 zenon_Hb1 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H46 zenon_H174 zenon_H3 zenon_H5 zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hf zenon_H184 zenon_H185 zenon_H186 zenon_Hd3 zenon_H192 zenon_H30. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.30/1.44 apply (zenon_L652_); trivial. % 1.30/1.44 apply (zenon_L580_); trivial. % 1.30/1.44 (* end of lemma zenon_L706_ *) % 1.30/1.44 assert (zenon_L707_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (ndr1_0) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((hskp26)\/(hskp11)) -> (~(hskp11)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> False). % 1.30/1.44 do 0 intro. intros zenon_H198 zenon_H8e zenon_H15c zenon_H15a zenon_H18d zenon_H30 zenon_H192 zenon_H186 zenon_H185 zenon_H184 zenon_Hf zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1e7 zenon_H5 zenon_H3 zenon_H174 zenon_H46 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_Hb1 zenon_Hc1 zenon_H66 zenon_H1e1. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.30/1.44 apply (zenon_L706_); trivial. % 1.30/1.44 apply (zenon_L125_); trivial. % 1.30/1.44 (* end of lemma zenon_L707_ *) % 1.30/1.44 assert (zenon_L708_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(hskp11)) -> ((hskp26)\/(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.30/1.44 do 0 intro. intros zenon_H8b zenon_H12c zenon_H66 zenon_Hc0 zenon_H1c zenon_H1a zenon_H6c zenon_H6d zenon_H6e zenon_H1ba zenon_H3 zenon_H5 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.30/1.44 apply (zenon_L693_); trivial. % 1.30/1.44 apply (zenon_L139_); trivial. % 1.30/1.44 (* end of lemma zenon_L708_ *) % 1.30/1.44 assert (zenon_L709_ : ((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(hskp11)) -> ((hskp26)\/(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> False). % 1.30/1.44 do 0 intro. intros zenon_H1bc zenon_H8e zenon_H12c zenon_H66 zenon_Hc0 zenon_H1c zenon_H1a zenon_H1ba zenon_H3 zenon_H5 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30 zenon_H184 zenon_H185 zenon_H186 zenon_H15a zenon_H18d. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.30/1.44 apply (zenon_L120_); trivial. % 1.30/1.44 apply (zenon_L708_); trivial. % 1.30/1.44 (* end of lemma zenon_L709_ *) % 1.30/1.44 assert (zenon_L710_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((hskp26)\/(hskp11)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.30/1.44 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H8e zenon_H12c zenon_H8a zenon_Hc0 zenon_H24f zenon_H1c3 zenon_H285 zenon_H54 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30 zenon_H184 zenon_H185 zenon_H186 zenon_H15a zenon_H18d zenon_H31 zenon_H5 zenon_H5f zenon_H62 zenon_H66 zenon_H6a. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.30/1.44 apply (zenon_L106_); trivial. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.30/1.44 apply (zenon_L120_); trivial. % 1.30/1.44 apply (zenon_L698_); trivial. % 1.30/1.44 (* end of lemma zenon_L710_ *) % 1.30/1.44 assert (zenon_L711_ : ((ndr1_0)/\((c1_1 (a593))/\((c3_1 (a593))/\(~(c2_1 (a593)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp3)\/(hskp4))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (~(hskp4)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((hskp26)\/(hskp11)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> False). % 1.30/1.44 do 0 intro. intros zenon_H19f zenon_H1a0 zenon_H181 zenon_H19b zenon_Hd5 zenon_H1c3 zenon_H1e5 zenon_H17f zenon_H62 zenon_H6a zenon_H198 zenon_H8e zenon_H15c zenon_H15a zenon_H18d zenon_H30 zenon_H192 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1e7 zenon_H5 zenon_H174 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_Hb1 zenon_Hc1 zenon_H66 zenon_H1e1 zenon_H274 zenon_H278 zenon_H277 zenon_H276 zenon_H28d zenon_H1ba zenon_H1c zenon_Hc0 zenon_H12c zenon_H1bf zenon_H31 zenon_H54 zenon_H285 zenon_H24f zenon_H8a zenon_H209. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.30/1.44 apply (zenon_L707_); trivial. % 1.30/1.44 apply (zenon_L709_); trivial. % 1.30/1.44 apply (zenon_L651_); trivial. % 1.30/1.44 apply (zenon_L710_); trivial. % 1.30/1.44 apply (zenon_L128_); trivial. % 1.30/1.44 (* end of lemma zenon_L711_ *) % 1.30/1.44 assert (zenon_L712_ : ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10)))))) -> (~(c3_1 (a586))) -> (ndr1_0) -> (~(hskp1)) -> False). % 1.30/1.44 do 0 intro. intros zenon_Hf9 zenon_H299 zenon_H298 zenon_H297 zenon_H2c9 zenon_H2ca zenon_H167 zenon_H2c8 zenon_Hf zenon_Hb1. % 1.30/1.44 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H9d | zenon_intro zenon_Hfa ]. % 1.30/1.44 apply (zenon_L320_); trivial. % 1.30/1.44 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6b | zenon_intro zenon_Hb2 ]. % 1.30/1.44 apply (zenon_L624_); trivial. % 1.30/1.44 exact (zenon_Hb1 zenon_Hb2). % 1.30/1.44 (* end of lemma zenon_L712_ *) % 1.30/1.44 assert (zenon_L713_ : ((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp1)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp12)) -> False). % 1.30/1.44 do 0 intro. intros zenon_H61 zenon_H174 zenon_Hb1 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H297 zenon_H298 zenon_H299 zenon_Hf9 zenon_H46. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_Hf. zenon_intro zenon_H63. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H11. zenon_intro zenon_H64. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H167 | zenon_intro zenon_H175 ]. % 1.30/1.44 apply (zenon_L712_); trivial. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H10 | zenon_intro zenon_H47 ]. % 1.30/1.44 apply (zenon_L9_); trivial. % 1.30/1.44 exact (zenon_H46 zenon_H47). % 1.30/1.44 (* end of lemma zenon_L713_ *) % 1.30/1.44 assert (zenon_L714_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.30/1.44 do 0 intro. intros zenon_H1bf zenon_H48 zenon_H40 zenon_Hf9 zenon_Hb1 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H299 zenon_H298 zenon_H297 zenon_H174 zenon_H66. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.30/1.44 apply (zenon_L19_); trivial. % 1.30/1.44 apply (zenon_L713_); trivial. % 1.30/1.44 apply (zenon_L322_); trivial. % 1.30/1.44 (* end of lemma zenon_L714_ *) % 1.30/1.44 assert (zenon_L715_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> (~(hskp17)) -> (~(hskp3)) -> (~(c3_1 (a586))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (ndr1_0) -> (~(hskp14)) -> False). % 1.30/1.44 do 0 intro. intros zenon_H2ad zenon_Ha zenon_H15a zenon_H2c8 zenon_H2c9 zenon_H2ca zenon_H2d6 zenon_H299 zenon_H298 zenon_H297 zenon_Hf zenon_Hd3. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H2ae ]. % 1.30/1.44 apply (zenon_L622_); trivial. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ]. % 1.30/1.44 apply (zenon_L320_); trivial. % 1.30/1.44 exact (zenon_Hd3 zenon_Hd4). % 1.30/1.44 (* end of lemma zenon_L715_ *) % 1.30/1.44 assert (zenon_L716_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> False). % 1.30/1.44 do 0 intro. intros zenon_H1eb zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H6b zenon_H4d zenon_H4c zenon_H4b zenon_Hf zenon_H119 zenon_Hca zenon_Hcb zenon_Hcc. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1ec ]. % 1.30/1.44 apply (zenon_L624_); trivial. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H18f ]. % 1.30/1.44 apply (zenon_L20_); trivial. % 1.30/1.44 apply (zenon_L123_); trivial. % 1.30/1.44 (* end of lemma zenon_L716_ *) % 1.30/1.44 assert (zenon_L717_ : ((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(hskp5)) -> (~(hskp6)) -> False). % 1.30/1.44 do 0 intro. intros zenon_H154 zenon_H128 zenon_Hcc zenon_Hcb zenon_Hca zenon_H4b zenon_H4c zenon_H4d zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1eb zenon_H155 zenon_H125 zenon_H42. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_Hf. zenon_intro zenon_H156. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14d. zenon_intro zenon_H157. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H119 | zenon_intro zenon_H12b ]. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14a | zenon_intro zenon_H158 ]. % 1.30/1.44 apply (zenon_L96_); trivial. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H6b ]. % 1.30/1.44 apply (zenon_L51_); trivial. % 1.30/1.44 apply (zenon_L716_); trivial. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H126 | zenon_intro zenon_H43 ]. % 1.30/1.44 exact (zenon_H125 zenon_H126). % 1.30/1.44 exact (zenon_H42 zenon_H43). % 1.30/1.44 (* end of lemma zenon_L717_ *) % 1.30/1.44 assert (zenon_L718_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp5)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> False). % 1.30/1.44 do 0 intro. intros zenon_H8b zenon_H159 zenon_H128 zenon_H125 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1eb zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H155 zenon_H297 zenon_H298 zenon_H299 zenon_H42 zenon_H222. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H146 | zenon_intro zenon_H154 ]. % 1.30/1.44 apply (zenon_L324_); trivial. % 1.30/1.44 apply (zenon_L717_); trivial. % 1.30/1.44 (* end of lemma zenon_L718_ *) % 1.30/1.44 assert (zenon_L719_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp5)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> (~(hskp3)) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(hskp14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> False). % 1.30/1.44 do 0 intro. intros zenon_H8e zenon_H159 zenon_H128 zenon_H125 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1eb zenon_H155 zenon_H42 zenon_H222 zenon_H2d6 zenon_H15a zenon_H2ca zenon_H2c9 zenon_H2c8 zenon_Hf zenon_H297 zenon_H298 zenon_H299 zenon_Hd3 zenon_H2ad. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.30/1.44 apply (zenon_L715_); trivial. % 1.30/1.44 apply (zenon_L718_); trivial. % 1.30/1.44 (* end of lemma zenon_L719_ *) % 1.30/1.44 assert (zenon_L720_ : ((ndr1_0)/\((c2_1 (a592))/\((~(c0_1 (a592)))/\(~(c3_1 (a592)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a593))/\((c3_1 (a593))/\(~(c2_1 (a593))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> False). % 1.30/1.44 do 0 intro. intros zenon_H2e5 zenon_H2e6 zenon_H198 zenon_H8e zenon_H15c zenon_H15a zenon_H18d zenon_H2ad zenon_H66 zenon_H174 zenon_H297 zenon_H298 zenon_H299 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_Hb1 zenon_Hf9 zenon_H48 zenon_H1bf. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.30/1.44 apply (zenon_L714_); trivial. % 1.30/1.44 apply (zenon_L363_); trivial. % 1.30/1.44 (* end of lemma zenon_L720_ *) % 1.30/1.44 assert (zenon_L721_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> (~(hskp14)) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (ndr1_0) -> (~(c3_1 (a586))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(hskp3)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.30/1.44 do 0 intro. intros zenon_H1e1 zenon_Hc1 zenon_Hb1 zenon_H178 zenon_H177 zenon_H176 zenon_H2ad zenon_Hd3 zenon_H299 zenon_H298 zenon_H297 zenon_Hf zenon_H2c8 zenon_H2c9 zenon_H2ca zenon_H15a zenon_H2d6 zenon_H1e7 zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30 zenon_H8e. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.30/1.44 apply (zenon_L715_); trivial. % 1.30/1.44 apply (zenon_L701_); trivial. % 1.30/1.44 apply (zenon_L198_); trivial. % 1.30/1.44 (* end of lemma zenon_L721_ *) % 1.30/1.44 assert (zenon_L722_ : ((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (c0_1 (a583)) -> (c1_1 (a583)) -> (c2_1 (a583)) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> False). % 1.30/1.44 do 0 intro. intros zenon_H87 zenon_H30 zenon_H85 zenon_H11 zenon_H12 zenon_H13 zenon_H1a zenon_H1c zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H83 zenon_H1e7. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.30/1.44 apply (zenon_L635_); trivial. % 1.30/1.44 apply (zenon_L33_); trivial. % 1.30/1.44 (* end of lemma zenon_L722_ *) % 1.30/1.44 assert (zenon_L723_ : ((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> False). % 1.30/1.44 do 0 intro. intros zenon_H61 zenon_H8a zenon_H30 zenon_H85 zenon_H1a zenon_H1c zenon_H83 zenon_H1e7 zenon_H77 zenon_H40 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H46 zenon_H174. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_Hf. zenon_intro zenon_H63. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H11. zenon_intro zenon_H64. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H167 | zenon_intro zenon_H175 ]. % 1.30/1.44 apply (zenon_L660_); trivial. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H10 | zenon_intro zenon_H47 ]. % 1.30/1.44 apply (zenon_L9_); trivial. % 1.30/1.44 exact (zenon_H46 zenon_H47). % 1.30/1.44 apply (zenon_L722_); trivial. % 1.30/1.44 (* end of lemma zenon_L723_ *) % 1.30/1.44 assert (zenon_L724_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp11)) -> ((hskp26)\/(hskp11)) -> False). % 1.30/1.44 do 0 intro. intros zenon_H66 zenon_H8a zenon_H30 zenon_H85 zenon_H1a zenon_H1c zenon_H83 zenon_H1e7 zenon_H77 zenon_H40 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H46 zenon_H174 zenon_H3 zenon_H5. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.30/1.44 apply (zenon_L3_); trivial. % 1.30/1.44 apply (zenon_L723_); trivial. % 1.30/1.44 (* end of lemma zenon_L724_ *) % 1.30/1.44 assert (zenon_L725_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (~(hskp4)) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (~(hskp7)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> False). % 1.30/1.44 do 0 intro. intros zenon_Hc6 zenon_Hbf zenon_H66 zenon_Hc0 zenon_H1c zenon_H1e5 zenon_H17f zenon_H1a zenon_H174 zenon_H46 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H1ba zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H8 zenon_H9b. % 1.30/1.44 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.30/1.44 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.30/1.44 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.30/1.44 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H99 | zenon_intro zenon_Hc2 ]. % 1.30/1.44 apply (zenon_L41_); trivial. % 1.30/1.44 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hf. zenon_intro zenon_Hc3. % 1.30/1.44 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H9e. zenon_intro zenon_Hc4. % 1.30/1.44 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H9f. zenon_intro zenon_Ha8. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.30/1.44 apply (zenon_L386_); trivial. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_Hf. zenon_intro zenon_H63. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H11. zenon_intro zenon_H64. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.30/1.44 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_Heb | zenon_intro zenon_H1bb ]. % 1.30/1.44 apply (zenon_L303_); trivial. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H6b | zenon_intro zenon_Hae ]. % 1.30/1.44 apply (zenon_L625_); trivial. % 1.30/1.44 exact (zenon_Had zenon_Hae). % 1.30/1.44 apply (zenon_L48_); trivial. % 1.30/1.44 (* end of lemma zenon_L725_ *) % 1.30/1.44 assert (zenon_L726_ : ((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> (~(hskp8)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> False). % 1.30/1.44 do 0 intro. intros zenon_H61 zenon_H8a zenon_H30 zenon_H85 zenon_H1a zenon_H1c zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H83 zenon_H1e7 zenon_H6c zenon_H6d zenon_H6e zenon_H40 zenon_H77. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_Hf. zenon_intro zenon_H63. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H11. zenon_intro zenon_H64. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.30/1.44 apply (zenon_L30_); trivial. % 1.30/1.44 apply (zenon_L722_); trivial. % 1.30/1.44 (* end of lemma zenon_L726_ *) % 1.30/1.44 assert (zenon_L727_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> (~(hskp8)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(hskp11)) -> ((hskp26)\/(hskp11)) -> False). % 1.30/1.44 do 0 intro. intros zenon_H66 zenon_H8a zenon_H30 zenon_H85 zenon_H1a zenon_H1c zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H83 zenon_H1e7 zenon_H6c zenon_H6d zenon_H6e zenon_H40 zenon_H77 zenon_H3 zenon_H5. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.30/1.44 apply (zenon_L3_); trivial. % 1.30/1.44 apply (zenon_L726_); trivial. % 1.30/1.44 (* end of lemma zenon_L727_ *) % 1.30/1.44 assert (zenon_L728_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp7)\/(hskp20))) -> (~(hskp7)) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp8))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> False). % 1.30/1.44 do 0 intro. intros zenon_H194 zenon_H8e zenon_Hbf zenon_H6a zenon_H265 zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H54 zenon_H5f zenon_H62 zenon_H66 zenon_H13c zenon_H8 zenon_H40 zenon_He9 zenon_H289 zenon_H17f zenon_H2ca zenon_H2c8 zenon_Hca zenon_Hcb zenon_Hcc zenon_H6c zenon_H6d zenon_H6e zenon_H155. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.30/1.44 apply (zenon_L685_); trivial. % 1.30/1.44 apply (zenon_L394_); trivial. % 1.30/1.44 (* end of lemma zenon_L728_ *) % 1.30/1.44 assert (zenon_L729_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp7)\/(hskp20))) -> (~(hskp7)) -> ((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp8))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (~(hskp4)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.30/1.44 do 0 intro. intros zenon_H197 zenon_H1bf zenon_H198 zenon_H8e zenon_Hbf zenon_H265 zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H54 zenon_H13c zenon_H8 zenon_He9 zenon_H289 zenon_H155 zenon_Hd5 zenon_H1e5 zenon_H17f zenon_H5f zenon_H62 zenon_H6a zenon_H48 zenon_H40 zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H1a zenon_H1c zenon_Hc0 zenon_H66. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.30/1.44 apply (zenon_L632_); trivial. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.30/1.44 apply (zenon_L634_); trivial. % 1.30/1.44 apply (zenon_L728_); trivial. % 1.30/1.44 (* end of lemma zenon_L729_ *) % 1.30/1.44 assert (zenon_L730_ : ((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a586)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (~(hskp4)) -> (~(hskp17)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> False). % 1.30/1.44 do 0 intro. intros zenon_Hc2 zenon_H66 zenon_H155 zenon_H2c9 zenon_H46 zenon_H174 zenon_Hcc zenon_Hcb zenon_Hca zenon_H2c8 zenon_H2ca zenon_H17f zenon_Ha zenon_H289 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140. % 1.30/1.44 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hf. zenon_intro zenon_Hc3. % 1.30/1.44 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H9e. zenon_intro zenon_Hc4. % 1.30/1.44 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H9f. zenon_intro zenon_Ha8. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.30/1.44 apply (zenon_L386_); trivial. % 1.30/1.44 apply (zenon_L646_); trivial. % 1.30/1.44 (* end of lemma zenon_L730_ *) % 1.30/1.44 assert (zenon_L731_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a586)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> False). % 1.30/1.44 do 0 intro. intros zenon_Hc6 zenon_H8e zenon_H6a zenon_H265 zenon_H54 zenon_H5f zenon_H62 zenon_H9b zenon_H8 zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H289 zenon_H17f zenon_H2ca zenon_H2c8 zenon_Hca zenon_Hcb zenon_Hcc zenon_H174 zenon_H46 zenon_H2c9 zenon_H155 zenon_H66 zenon_Hbf. % 1.30/1.44 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.30/1.44 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.30/1.44 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.30/1.44 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H99 | zenon_intro zenon_Hc2 ]. % 1.30/1.44 apply (zenon_L41_); trivial. % 1.30/1.44 apply (zenon_L730_); trivial. % 1.30/1.44 apply (zenon_L389_); trivial. % 1.30/1.44 (* end of lemma zenon_L731_ *) % 1.30/1.44 assert (zenon_L732_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a586)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (~(hskp4)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> (~(hskp12)) -> (~(hskp8)) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.30/1.44 do 0 intro. intros zenon_H1e1 zenon_H6a zenon_H265 zenon_H54 zenon_H5f zenon_H62 zenon_H9b zenon_H8 zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Hbf zenon_H66 zenon_H155 zenon_H2c9 zenon_H174 zenon_Hcc zenon_Hcb zenon_Hca zenon_H2c8 zenon_H2ca zenon_H17f zenon_H289 zenon_H46 zenon_H40 zenon_H48 zenon_H30 zenon_H1eb zenon_H77 zenon_H1e7 zenon_H15e zenon_H15f zenon_H160 zenon_H85 zenon_H8a zenon_H8e. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.30/1.44 apply (zenon_L669_); trivial. % 1.30/1.44 apply (zenon_L731_); trivial. % 1.30/1.44 (* end of lemma zenon_L732_ *) % 1.30/1.44 assert (zenon_L733_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c0_1 (a595))) -> (c3_1 (a678)) -> (c2_1 (a678)) -> (c0_1 (a678)) -> (ndr1_0) -> (~(hskp11)) -> False). % 1.30/1.44 do 0 intro. intros zenon_H2ab zenon_H178 zenon_H177 zenon_H119 zenon_H176 zenon_H1e zenon_H1d zenon_H1f zenon_Hf zenon_H3. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H2ac ]. % 1.30/1.44 apply (zenon_L343_); trivial. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H18f | zenon_intro zenon_H4 ]. % 1.30/1.44 apply (zenon_L173_); trivial. % 1.30/1.44 exact (zenon_H3 zenon_H4). % 1.30/1.44 (* end of lemma zenon_L733_ *) % 1.30/1.44 assert (zenon_L734_ : ((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp11)) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (~(hskp5)) -> (~(hskp6)) -> False). % 1.30/1.44 do 0 intro. intros zenon_H32 zenon_H128 zenon_H3 zenon_H176 zenon_H177 zenon_H178 zenon_H2ab zenon_H125 zenon_H42. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hf. zenon_intro zenon_H33. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H1f. zenon_intro zenon_H34. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H119 | zenon_intro zenon_H12b ]. % 1.30/1.44 apply (zenon_L733_); trivial. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H126 | zenon_intro zenon_H43 ]. % 1.30/1.44 exact (zenon_H125 zenon_H126). % 1.30/1.44 exact (zenon_H42 zenon_H43). % 1.30/1.44 (* end of lemma zenon_L734_ *) % 1.30/1.44 assert (zenon_L735_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (ndr1_0) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> False). % 1.30/1.44 do 0 intro. intros zenon_H30 zenon_H128 zenon_H42 zenon_H125 zenon_H176 zenon_H177 zenon_H178 zenon_H3 zenon_H2ab zenon_Hf zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H83 zenon_H1e7. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.30/1.44 apply (zenon_L635_); trivial. % 1.30/1.44 apply (zenon_L734_); trivial. % 1.30/1.44 (* end of lemma zenon_L735_ *) % 1.30/1.44 assert (zenon_L736_ : ((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.30/1.44 do 0 intro. intros zenon_H61 zenon_H8a zenon_H85 zenon_H1a zenon_H1c zenon_H1e7 zenon_H83 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H77 zenon_H40 zenon_H4b zenon_H4c zenon_H4d zenon_H1eb zenon_H30. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_Hf. zenon_intro zenon_H63. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H11. zenon_intro zenon_H64. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.30/1.44 apply (zenon_L661_); trivial. % 1.30/1.44 apply (zenon_L722_); trivial. % 1.30/1.44 (* end of lemma zenon_L736_ *) % 1.30/1.44 assert (zenon_L737_ : ((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> False). % 1.30/1.44 do 0 intro. intros zenon_Hc2 zenon_H66 zenon_H8a zenon_H85 zenon_H1a zenon_H1c zenon_H1e7 zenon_H83 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H77 zenon_H40 zenon_H4b zenon_H4c zenon_H4d zenon_H1eb zenon_H30 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140. % 1.30/1.44 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hf. zenon_intro zenon_Hc3. % 1.30/1.44 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H9e. zenon_intro zenon_Hc4. % 1.30/1.44 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H9f. zenon_intro zenon_Ha8. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.30/1.44 apply (zenon_L386_); trivial. % 1.30/1.44 apply (zenon_L736_); trivial. % 1.30/1.44 (* end of lemma zenon_L737_ *) % 1.30/1.44 assert (zenon_L738_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(c2_1 (a606))) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> False). % 1.30/1.44 do 0 intro. intros zenon_H8b zenon_Hc0 zenon_H30 zenon_H104 zenon_H1a zenon_H1c zenon_H12e zenon_H130 zenon_H12f zenon_H274 zenon_H83 zenon_H1e7 zenon_Hca zenon_Hcb zenon_Hcc zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.30/1.44 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.30/1.44 apply (zenon_L630_); trivial. % 1.30/1.44 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.30/1.44 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.30/1.44 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.30/1.44 apply (zenon_L635_); trivial. % 1.30/1.44 apply (zenon_L605_); trivial. % 1.30/1.44 (* end of lemma zenon_L738_ *) % 1.30/1.44 assert (zenon_L739_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp4)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> False). % 1.30/1.44 do 0 intro. intros zenon_H137 zenon_H8e zenon_Hc0 zenon_H30 zenon_H104 zenon_H1a zenon_H1c zenon_H274 zenon_H83 zenon_H1e7 zenon_Hca zenon_Hcb zenon_Hcc zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H184 zenon_H185 zenon_H186 zenon_H125 zenon_H1f6 zenon_H17f zenon_H289 zenon_H207. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.30/1.44 apply (zenon_L401_); trivial. % 1.30/1.44 apply (zenon_L738_); trivial. % 1.30/1.44 (* end of lemma zenon_L739_ *) % 1.30/1.44 assert (zenon_L740_ : ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (ndr1_0) -> (forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))) -> (~(hskp22)) -> (~(hskp6)) -> False). % 1.30/1.44 do 0 intro. intros zenon_H222 zenon_H160 zenon_H15e zenon_H15f zenon_Hf zenon_H18f zenon_H146 zenon_H42. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H9d | zenon_intro zenon_H223 ]. % 1.30/1.44 apply (zenon_L254_); trivial. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H147 | zenon_intro zenon_H43 ]. % 1.30/1.44 exact (zenon_H146 zenon_H147). % 1.30/1.44 exact (zenon_H42 zenon_H43). % 1.30/1.44 (* end of lemma zenon_L740_ *) % 1.30/1.44 assert (zenon_L741_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp1)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(c1_1 (a603))) -> (forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2)))))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (ndr1_0) -> (~(hskp22)) -> (~(hskp6)) -> False). % 1.30/1.44 do 0 intro. intros zenon_H1eb zenon_Hb1 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_He4 zenon_H1c5 zenon_Hd7 zenon_Hd8 zenon_Hf9 zenon_H4d zenon_H4c zenon_H4b zenon_H222 zenon_H160 zenon_H15e zenon_H15f zenon_Hf zenon_H146 zenon_H42. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1ec ]. % 1.30/1.44 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H9d | zenon_intro zenon_Hfa ]. % 1.30/1.44 apply (zenon_L194_); trivial. % 1.30/1.44 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6b | zenon_intro zenon_Hb2 ]. % 1.30/1.44 apply (zenon_L624_); trivial. % 1.30/1.44 exact (zenon_Hb1 zenon_Hb2). % 1.30/1.44 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H18f ]. % 1.30/1.44 apply (zenon_L20_); trivial. % 1.30/1.44 apply (zenon_L740_); trivial. % 1.30/1.44 (* end of lemma zenon_L741_ *) % 1.30/1.44 assert (zenon_L742_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(hskp15)) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp6)) -> (~(hskp22)) -> (ndr1_0) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(hskp1)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp16)) -> False). % 1.30/1.44 do 0 intro. intros zenon_H287 zenon_H83 zenon_H185 zenon_H186 zenon_H184 zenon_H85 zenon_H42 zenon_H146 zenon_Hf zenon_H15f zenon_H15e zenon_H160 zenon_H222 zenon_H4b zenon_H4c zenon_H4d zenon_Hf9 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hb1 zenon_H1eb zenon_Hfb. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H10a | zenon_intro zenon_H288 ]. % 1.30/1.44 apply (zenon_L208_); trivial. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H1c5 | zenon_intro zenon_Hfc ]. % 1.30/1.44 apply (zenon_L741_); trivial. % 1.30/1.44 exact (zenon_Hfb zenon_Hfc). % 1.30/1.44 (* end of lemma zenon_L742_ *) % 1.30/1.44 assert (zenon_L743_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp1)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(hskp5)) -> (~(hskp6)) -> False). % 1.30/1.44 do 0 intro. intros zenon_H8b zenon_H128 zenon_Hcc zenon_Hcb zenon_Hca zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1eb zenon_Hb1 zenon_H274 zenon_H12f zenon_H130 zenon_H12e zenon_H15f zenon_H15e zenon_H160 zenon_Hf9 zenon_H155 zenon_H125 zenon_H42. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H119 | zenon_intro zenon_H12b ]. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14a | zenon_intro zenon_H158 ]. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1ec ]. % 1.30/1.44 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H9d | zenon_intro zenon_Hfa ]. % 1.30/1.44 apply (zenon_L255_); trivial. % 1.30/1.44 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6b | zenon_intro zenon_Hb2 ]. % 1.30/1.44 apply (zenon_L624_); trivial. % 1.30/1.44 exact (zenon_Hb1 zenon_Hb2). % 1.30/1.44 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H18f ]. % 1.30/1.44 apply (zenon_L20_); trivial. % 1.30/1.44 apply (zenon_L123_); trivial. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H6b ]. % 1.30/1.44 apply (zenon_L51_); trivial. % 1.30/1.44 apply (zenon_L716_); trivial. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H126 | zenon_intro zenon_H43 ]. % 1.30/1.44 exact (zenon_H125 zenon_H126). % 1.30/1.44 exact (zenon_H42 zenon_H43). % 1.30/1.44 (* end of lemma zenon_L743_ *) % 1.30/1.44 assert (zenon_L744_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp4)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> False). % 1.30/1.44 do 0 intro. intros zenon_H137 zenon_H8e zenon_H128 zenon_H42 zenon_H1eb zenon_Hcc zenon_Hcb zenon_Hca zenon_H274 zenon_H160 zenon_H15e zenon_H15f zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_Hb1 zenon_Hf9 zenon_H155 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H184 zenon_H185 zenon_H186 zenon_H125 zenon_H1f6 zenon_H17f zenon_H289 zenon_H207. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.30/1.44 apply (zenon_L401_); trivial. % 1.30/1.44 apply (zenon_L743_); trivial. % 1.30/1.44 (* end of lemma zenon_L744_ *) % 1.30/1.44 assert (zenon_L745_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (ndr1_0) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> (~(hskp15)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.30/1.44 do 0 intro. intros zenon_H13b zenon_H274 zenon_H207 zenon_H289 zenon_H17f zenon_H1f6 zenon_H125 zenon_H186 zenon_H185 zenon_H184 zenon_Hf zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H287 zenon_Hf9 zenon_Hb1 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H222 zenon_H42 zenon_H1eb zenon_H15e zenon_H15f zenon_H160 zenon_H83 zenon_H85 zenon_H155 zenon_Hcc zenon_Hcb zenon_Hca zenon_H128 zenon_H159 zenon_H8e. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.30/1.44 apply (zenon_L401_); trivial. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H146 | zenon_intro zenon_H154 ]. % 1.30/1.44 apply (zenon_L742_); trivial. % 1.30/1.44 apply (zenon_L717_); trivial. % 1.30/1.44 apply (zenon_L744_); trivial. % 1.30/1.44 (* end of lemma zenon_L745_ *) % 1.30/1.44 assert (zenon_L746_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c1_1 (a598))) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a586)) -> (c3_1 (a598)) -> (c0_1 (a598)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.30/1.44 do 0 intro. intros zenon_Hc6 zenon_H13b zenon_H128 zenon_H42 zenon_H274 zenon_H15e zenon_Hb1 zenon_Hf9 zenon_H207 zenon_H289 zenon_H17f zenon_H1f6 zenon_H125 zenon_H186 zenon_H185 zenon_H184 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H155 zenon_H2c9 zenon_H160 zenon_H15f zenon_H1eb zenon_Hcc zenon_Hcb zenon_Hca zenon_H2c8 zenon_H2ca zenon_H203 zenon_H8e. % 1.30/1.44 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.30/1.44 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.30/1.44 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.30/1.44 apply (zenon_L401_); trivial. % 1.30/1.44 apply (zenon_L649_); trivial. % 1.30/1.44 apply (zenon_L744_); trivial. % 1.30/1.44 (* end of lemma zenon_L746_ *) % 1.30/1.44 assert (zenon_L747_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c0_1 (a595))) -> (~(hskp10)) -> (c1_1 (a612)) -> (c2_1 (a612)) -> (c3_1 (a612)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> False). % 1.30/1.44 do 0 intro. intros zenon_H104 zenon_H178 zenon_H177 zenon_H119 zenon_H176 zenon_H1a zenon_Hb3 zenon_Hb4 zenon_Hb5 zenon_H1c zenon_Hf zenon_Hca zenon_Hcb zenon_Hcc. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H105 ]. % 1.30/1.44 apply (zenon_L343_); trivial. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hec | zenon_intro zenon_Hc9 ]. % 1.30/1.44 apply (zenon_L306_); trivial. % 1.30/1.44 apply (zenon_L51_); trivial. % 1.30/1.44 (* end of lemma zenon_L747_ *) % 1.30/1.44 assert (zenon_L748_ : ((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> False). % 1.30/1.44 do 0 intro. intros zenon_Hc2 zenon_H66 zenon_Hc0 zenon_H1c zenon_H1a zenon_Hca zenon_Hcb zenon_Hcc zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140. % 1.30/1.44 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hf. zenon_intro zenon_Hc3. % 1.30/1.44 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H9e. zenon_intro zenon_Hc4. % 1.30/1.44 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H9f. zenon_intro zenon_Ha8. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.30/1.44 apply (zenon_L386_); trivial. % 1.30/1.44 apply (zenon_L631_); trivial. % 1.30/1.44 (* end of lemma zenon_L748_ *) % 1.30/1.44 assert (zenon_L749_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.30/1.44 do 0 intro. intros zenon_H197 zenon_H1bf zenon_H128 zenon_H42 zenon_H125 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H155 zenon_H48 zenon_H40 zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H1a zenon_H1c zenon_Hc0 zenon_H66. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.30/1.44 apply (zenon_L632_); trivial. % 1.30/1.44 apply (zenon_L151_); trivial. % 1.30/1.44 (* end of lemma zenon_L749_ *) % 1.30/1.44 assert (zenon_L750_ : ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((hskp26)\/(hskp11)) -> (ndr1_0) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp4)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> False). % 1.30/1.44 do 0 intro. intros zenon_H1a0 zenon_H255 zenon_H2ab zenon_H19b zenon_H128 zenon_H42 zenon_H125 zenon_H155 zenon_H48 zenon_H1c3 zenon_H12c zenon_H66 zenon_Hc0 zenon_H1c zenon_H174 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H1ba zenon_H5 zenon_Hf zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H40 zenon_H1b5 zenon_H1bf zenon_H6a zenon_H62 zenon_H31 zenon_H1e1 zenon_Hc1 zenon_Hb1 zenon_H17f zenon_H289 zenon_H30 zenon_H1eb zenon_H77 zenon_H1e7 zenon_H85 zenon_H8a zenon_H8e zenon_H209. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.30/1.44 apply (zenon_L135_); trivial. % 1.30/1.44 apply (zenon_L627_); trivial. % 1.30/1.44 apply (zenon_L140_); trivial. % 1.30/1.44 apply (zenon_L749_); trivial. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.30/1.44 apply (zenon_L106_); trivial. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.30/1.44 apply (zenon_L690_); trivial. % 1.30/1.44 apply (zenon_L151_); trivial. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.30/1.44 apply (zenon_L735_); trivial. % 1.30/1.44 apply (zenon_L580_); trivial. % 1.30/1.44 apply (zenon_L140_); trivial. % 1.30/1.44 apply (zenon_L749_); trivial. % 1.30/1.44 apply (zenon_L670_); trivial. % 1.30/1.44 (* end of lemma zenon_L750_ *) % 1.30/1.44 assert (zenon_L751_ : ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> (~(hskp19)) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (ndr1_0) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> (~(hskp18)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> False). % 1.30/1.44 do 0 intro. intros zenon_Hbf zenon_H66 zenon_Hc0 zenon_H1c zenon_H1a zenon_Hca zenon_Hcb zenon_Hcc zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H2be zenon_H23e zenon_H184 zenon_H186 zenon_H185 zenon_Hf zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H100 zenon_H102. % 1.30/1.44 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H99 | zenon_intro zenon_Hc2 ]. % 1.30/1.44 apply (zenon_L405_); trivial. % 1.30/1.44 apply (zenon_L748_); trivial. % 1.30/1.44 (* end of lemma zenon_L751_ *) % 1.30/1.44 assert (zenon_L752_ : ((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> (~(hskp18)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> False). % 1.30/1.44 do 0 intro. intros zenon_H251 zenon_Hc0 zenon_H24f zenon_H185 zenon_H186 zenon_H184 zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H100 zenon_H102 zenon_H1a zenon_H1c zenon_Hca zenon_Hcb zenon_Hcc zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_Hf. zenon_intro zenon_H252. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H248. zenon_intro zenon_H253. % 1.30/1.44 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H246. zenon_intro zenon_H247. % 1.30/1.44 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.30/1.44 apply (zenon_L630_); trivial. % 1.30/1.44 apply (zenon_L499_); trivial. % 1.30/1.44 (* end of lemma zenon_L752_ *) % 1.30/1.44 assert (zenon_L753_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (ndr1_0) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> False). % 1.30/1.44 do 0 intro. intros zenon_H254 zenon_H24f zenon_H102 zenon_H100 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_Hf zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hcc zenon_Hcb zenon_Hca zenon_H1a zenon_H1c zenon_Hc0 zenon_H66 zenon_Hbf. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H23e | zenon_intro zenon_H251 ]. % 1.30/1.44 apply (zenon_L751_); trivial. % 1.30/1.44 apply (zenon_L752_); trivial. % 1.30/1.44 (* end of lemma zenon_L753_ *) % 1.30/1.44 assert (zenon_L754_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> False). % 1.30/1.44 do 0 intro. intros zenon_H1eb zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H6b zenon_H114 zenon_H10c zenon_H10b zenon_H10a zenon_Hf zenon_H119 zenon_Hca zenon_Hcb zenon_Hcc. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1ec ]. % 1.30/1.44 apply (zenon_L624_); trivial. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H18f ]. % 1.30/1.44 apply (zenon_L246_); trivial. % 1.30/1.44 apply (zenon_L123_); trivial. % 1.30/1.44 (* end of lemma zenon_L754_ *) % 1.30/1.44 assert (zenon_L755_ : ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> False). % 1.30/1.44 do 0 intro. intros zenon_H155 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H1eb zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H114 zenon_H10c zenon_H10b zenon_H10a zenon_Hf zenon_H119 zenon_Hca zenon_Hcb zenon_Hcc. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14a | zenon_intro zenon_H158 ]. % 1.30/1.44 apply (zenon_L149_); trivial. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H6b ]. % 1.30/1.44 apply (zenon_L51_); trivial. % 1.30/1.44 apply (zenon_L754_); trivial. % 1.30/1.44 (* end of lemma zenon_L755_ *) % 1.30/1.44 assert (zenon_L756_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp16)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (ndr1_0) -> (~(hskp22)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(hskp5)) -> (~(hskp6)) -> False). % 1.30/1.44 do 0 intro. intros zenon_H128 zenon_Hfb zenon_H222 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_Hf zenon_H146 zenon_H155 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H1eb zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H114 zenon_H10c zenon_H10b zenon_Hca zenon_Hcb zenon_Hcc zenon_H287 zenon_H125 zenon_H42. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H119 | zenon_intro zenon_H12b ]. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H10a | zenon_intro zenon_H288 ]. % 1.30/1.44 apply (zenon_L755_); trivial. % 1.30/1.44 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H1c5 | zenon_intro zenon_Hfc ]. % 1.30/1.44 apply (zenon_L204_); trivial. % 1.30/1.44 exact (zenon_Hfb zenon_Hfc). % 1.30/1.44 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H126 | zenon_intro zenon_H43 ]. % 1.30/1.44 exact (zenon_H125 zenon_H126). % 1.30/1.44 exact (zenon_H42 zenon_H43). % 1.30/1.44 (* end of lemma zenon_L756_ *) % 1.30/1.44 assert (zenon_L757_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> False). % 1.30/1.45 do 0 intro. intros zenon_H127 zenon_H159 zenon_H4d zenon_H4c zenon_H4b zenon_H287 zenon_Hfb zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H42 zenon_H222 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_Hca zenon_Hcb zenon_Hcc zenon_H1eb zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H155 zenon_H125 zenon_H128. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H146 | zenon_intro zenon_H154 ]. % 1.30/1.45 apply (zenon_L756_); trivial. % 1.30/1.45 apply (zenon_L717_); trivial. % 1.30/1.45 (* end of lemma zenon_L757_ *) % 1.30/1.45 assert (zenon_L758_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(hskp16)) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (ndr1_0) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp4)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> False). % 1.30/1.45 do 0 intro. intros zenon_H8e zenon_H12c zenon_H159 zenon_H287 zenon_Hfb zenon_H42 zenon_H222 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H1eb zenon_H155 zenon_H128 zenon_Hbf zenon_H66 zenon_Hc0 zenon_H1c zenon_H1a zenon_Hca zenon_Hcb zenon_Hcc zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3 zenon_H140 zenon_H2be zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H102 zenon_H24f zenon_H254 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Hf zenon_H184 zenon_H185 zenon_H186 zenon_H125 zenon_H1f6 zenon_H17f zenon_H289 zenon_H207. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.30/1.45 apply (zenon_L401_); trivial. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.30/1.45 apply (zenon_L753_); trivial. % 1.30/1.45 apply (zenon_L757_); trivial. % 1.30/1.45 (* end of lemma zenon_L758_ *) % 1.30/1.45 assert (zenon_L759_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> (~(c2_1 (a606))) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp18)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> False). % 1.30/1.45 do 0 intro. intros zenon_Hc0 zenon_H30 zenon_H104 zenon_H1a zenon_H1c zenon_H4b zenon_H4c zenon_H4d zenon_H12e zenon_H130 zenon_H12f zenon_H274 zenon_H100 zenon_H28d zenon_Hf zenon_Hca zenon_Hcb zenon_Hcc zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3. % 1.30/1.45 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.30/1.45 apply (zenon_L630_); trivial. % 1.30/1.45 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.30/1.45 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.30/1.45 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.30/1.45 apply (zenon_L686_); trivial. % 1.30/1.45 apply (zenon_L605_); trivial. % 1.30/1.45 (* end of lemma zenon_L759_ *) % 1.30/1.45 assert (zenon_L760_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp27)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(hskp5)) -> (~(hskp6)) -> False). % 1.30/1.45 do 0 intro. intros zenon_H128 zenon_H75 zenon_H155 zenon_H12f zenon_H130 zenon_H12e zenon_H1eb zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H4d zenon_H4c zenon_H4b zenon_Hf zenon_Hca zenon_Hcb zenon_Hcc zenon_H10b zenon_H10c zenon_H114 zenon_H285 zenon_H125 zenon_H42. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H119 | zenon_intro zenon_H12b ]. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_Heb | zenon_intro zenon_H286 ]. % 1.30/1.45 apply (zenon_L136_); trivial. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H269 | zenon_intro zenon_H76 ]. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14a | zenon_intro zenon_H158 ]. % 1.30/1.45 apply (zenon_L253_); trivial. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H6b ]. % 1.30/1.45 apply (zenon_L51_); trivial. % 1.30/1.45 apply (zenon_L716_); trivial. % 1.30/1.45 exact (zenon_H75 zenon_H76). % 1.30/1.45 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H126 | zenon_intro zenon_H43 ]. % 1.30/1.45 exact (zenon_H125 zenon_H126). % 1.30/1.45 exact (zenon_H42 zenon_H43). % 1.30/1.45 (* end of lemma zenon_L760_ *) % 1.30/1.45 assert (zenon_L761_ : ((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp23)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> False). % 1.30/1.45 do 0 intro. intros zenon_H87 zenon_Hc0 zenon_Hc1 zenon_Hb1 zenon_H184 zenon_H185 zenon_H186 zenon_H2e zenon_H54 zenon_H1eb zenon_H4d zenon_H4c zenon_H4b zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H1c zenon_H1a zenon_H24f zenon_Hca zenon_Hcb zenon_Hcc zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.30/1.45 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.30/1.45 apply (zenon_L630_); trivial. % 1.30/1.45 apply (zenon_L520_); trivial. % 1.30/1.45 (* end of lemma zenon_L761_ *) % 1.30/1.45 assert (zenon_L762_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> False). % 1.30/1.45 do 0 intro. intros zenon_H8b zenon_H12c zenon_H6a zenon_H62 zenon_H5f zenon_H17f zenon_H1e5 zenon_H128 zenon_H42 zenon_H125 zenon_H155 zenon_H1eb zenon_H285 zenon_H24f zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H54 zenon_H186 zenon_H185 zenon_H184 zenon_Hb1 zenon_Hc1 zenon_H8a zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hcc zenon_Hcb zenon_Hca zenon_H28d zenon_H274 zenon_H12f zenon_H130 zenon_H12e zenon_H1c zenon_H1a zenon_H104 zenon_H30 zenon_Hc0. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.30/1.45 apply (zenon_L759_); trivial. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.30/1.45 apply (zenon_L760_); trivial. % 1.30/1.45 apply (zenon_L761_); trivial. % 1.30/1.45 apply (zenon_L633_); trivial. % 1.30/1.45 (* end of lemma zenon_L762_ *) % 1.30/1.45 assert (zenon_L763_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (ndr1_0) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(hskp18)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> False). % 1.30/1.45 do 0 intro. intros zenon_H30 zenon_H192 zenon_Hd3 zenon_H186 zenon_H185 zenon_H184 zenon_Hf zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H100 zenon_H28d. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.30/1.45 apply (zenon_L686_); trivial. % 1.30/1.45 apply (zenon_L201_); trivial. % 1.30/1.45 (* end of lemma zenon_L763_ *) % 1.30/1.45 assert (zenon_L764_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (ndr1_0) -> (c0_1 (a598)) -> (forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> False). % 1.30/1.45 do 0 intro. intros zenon_H1eb zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H6b zenon_H114 zenon_H10c zenon_H10b zenon_H10a zenon_Hf zenon_H15f zenon_H9d zenon_H15e zenon_H160. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1ec ]. % 1.30/1.45 apply (zenon_L624_); trivial. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H18f ]. % 1.30/1.45 apply (zenon_L246_); trivial. % 1.30/1.45 apply (zenon_L254_); trivial. % 1.30/1.45 (* end of lemma zenon_L764_ *) % 1.30/1.45 assert (zenon_L765_ : ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(hskp16)) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (ndr1_0) -> (c0_1 (a598)) -> (forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> False). % 1.30/1.45 do 0 intro. intros zenon_H155 zenon_Hfb zenon_H90 zenon_H91 zenon_H92 zenon_H203 zenon_Hcc zenon_Hcb zenon_Hca zenon_H1eb zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H114 zenon_H10c zenon_H10b zenon_H10a zenon_Hf zenon_H15f zenon_H9d zenon_H15e zenon_H160. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14a | zenon_intro zenon_H158 ]. % 1.30/1.45 apply (zenon_L642_); trivial. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H6b ]. % 1.30/1.45 apply (zenon_L51_); trivial. % 1.30/1.45 apply (zenon_L764_); trivial. % 1.30/1.45 (* end of lemma zenon_L765_ *) % 1.30/1.45 assert (zenon_L766_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (~(hskp16)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(hskp14)) -> False). % 1.30/1.45 do 0 intro. intros zenon_H2ad zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H160 zenon_H15e zenon_H15f zenon_Hf zenon_H10a zenon_H10b zenon_H10c zenon_H114 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1eb zenon_Hca zenon_Hcb zenon_Hcc zenon_H203 zenon_H92 zenon_H91 zenon_H90 zenon_Hfb zenon_H155 zenon_Hd3. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H2ae ]. % 1.30/1.45 apply (zenon_L134_); trivial. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ]. % 1.30/1.45 apply (zenon_L765_); trivial. % 1.30/1.45 exact (zenon_Hd3 zenon_Hd4). % 1.30/1.45 (* end of lemma zenon_L766_ *) % 1.30/1.45 assert (zenon_L767_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (~(hskp16)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp14)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.30/1.45 do 0 intro. intros zenon_H12c zenon_H123 zenon_Ha zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H155 zenon_H15f zenon_H15e zenon_H160 zenon_H1eb zenon_Hcc zenon_Hcb zenon_Hca zenon_H90 zenon_H91 zenon_H92 zenon_Hfb zenon_H203 zenon_H2ad zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hf zenon_H184 zenon_H185 zenon_H186 zenon_Hd3 zenon_H192 zenon_H30. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.30/1.45 apply (zenon_L763_); trivial. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10a | zenon_intro zenon_H124 ]. % 1.30/1.45 apply (zenon_L766_); trivial. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H11f | zenon_intro zenon_Hb ]. % 1.30/1.45 apply (zenon_L385_); trivial. % 1.30/1.45 exact (zenon_Ha zenon_Hb). % 1.30/1.45 (* end of lemma zenon_L767_ *) % 1.30/1.45 assert (zenon_L768_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (ndr1_0) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.30/1.45 do 0 intro. intros zenon_H8e zenon_H207 zenon_H125 zenon_H1f6 zenon_H30 zenon_H192 zenon_Hd3 zenon_H186 zenon_H185 zenon_H184 zenon_Hf zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H28d zenon_H2ad zenon_H203 zenon_Hfb zenon_H92 zenon_H91 zenon_H90 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1eb zenon_H160 zenon_H15e zenon_H15f zenon_H155 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H12c. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.30/1.45 apply (zenon_L767_); trivial. % 1.30/1.45 apply (zenon_L649_); trivial. % 1.30/1.45 (* end of lemma zenon_L768_ *) % 1.30/1.45 assert (zenon_L769_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp4)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp14)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.30/1.45 do 0 intro. intros zenon_H1e1 zenon_H13b zenon_H128 zenon_H42 zenon_H274 zenon_Hb1 zenon_Hf9 zenon_H17f zenon_H289 zenon_H12c zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H155 zenon_H15f zenon_H15e zenon_H160 zenon_H1eb zenon_Hcc zenon_Hcb zenon_Hca zenon_H203 zenon_H2ad zenon_H28d zenon_H1f6 zenon_H125 zenon_H207 zenon_H8e zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hf zenon_H184 zenon_H185 zenon_H186 zenon_Hd3 zenon_H192 zenon_H30. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.30/1.45 apply (zenon_L652_); trivial. % 1.30/1.45 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.30/1.45 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.30/1.45 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.30/1.45 apply (zenon_L768_); trivial. % 1.30/1.45 apply (zenon_L744_); trivial. % 1.30/1.45 (* end of lemma zenon_L769_ *) % 1.30/1.45 assert (zenon_L770_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (ndr1_0) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> (~(hskp15)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.30/1.45 do 0 intro. intros zenon_H13b zenon_H274 zenon_Hb1 zenon_Hf9 zenon_H207 zenon_H289 zenon_H17f zenon_H1f6 zenon_H125 zenon_H186 zenon_H185 zenon_H184 zenon_Hf zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H102 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H15e zenon_H15f zenon_H160 zenon_H83 zenon_H85 zenon_H128 zenon_H155 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1eb zenon_Hcc zenon_Hcb zenon_Hca zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H222 zenon_H42 zenon_H287 zenon_H159 zenon_H12c zenon_H8e. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.30/1.45 apply (zenon_L401_); trivial. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.30/1.45 apply (zenon_L487_); trivial. % 1.30/1.45 apply (zenon_L757_); trivial. % 1.30/1.45 apply (zenon_L744_); trivial. % 1.30/1.45 (* end of lemma zenon_L770_ *) % 1.30/1.45 assert (zenon_L771_ : ((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> False). % 1.30/1.45 do 0 intro. intros zenon_Hc2 zenon_H6a zenon_H66 zenon_H62 zenon_H5f zenon_H265 zenon_H274 zenon_H15f zenon_H160 zenon_H54 zenon_H12f zenon_H130 zenon_H12e zenon_H4d zenon_H4c zenon_H4b zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104. % 1.30/1.45 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hf. zenon_intro zenon_Hc3. % 1.30/1.45 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H9e. zenon_intro zenon_Hc4. % 1.30/1.45 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H9f. zenon_intro zenon_Ha8. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H105 ]. % 1.30/1.45 apply (zenon_L434_); trivial. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hec | zenon_intro zenon_Hc9 ]. % 1.30/1.45 apply (zenon_L226_); trivial. % 1.30/1.45 apply (zenon_L51_); trivial. % 1.30/1.45 apply (zenon_L237_); trivial. % 1.30/1.45 (* end of lemma zenon_L771_ *) % 1.30/1.45 assert (zenon_L772_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (~(hskp7)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> False). % 1.30/1.45 do 0 intro. intros zenon_H8b zenon_Hbf zenon_H6a zenon_H66 zenon_H62 zenon_H5f zenon_H265 zenon_H274 zenon_H15f zenon_H160 zenon_H54 zenon_H12f zenon_H130 zenon_H12e zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H90 zenon_H91 zenon_H92 zenon_H8 zenon_H9b. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.30/1.45 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H99 | zenon_intro zenon_Hc2 ]. % 1.30/1.45 apply (zenon_L41_); trivial. % 1.30/1.45 apply (zenon_L771_); trivial. % 1.30/1.45 (* end of lemma zenon_L772_ *) % 1.30/1.45 assert (zenon_L773_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> (~(hskp23)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (ndr1_0) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.30/1.45 do 0 intro. intros zenon_H207 zenon_H203 zenon_H4b zenon_H4c zenon_H4d zenon_H2e zenon_H54 zenon_H287 zenon_Hfb zenon_He4 zenon_Hd7 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_Hf zenon_H184 zenon_H185 zenon_H186 zenon_H125 zenon_H1f6 zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H22c zenon_H237 zenon_H1a zenon_H1c zenon_Hc0 zenon_H66. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H202 ]. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.30/1.45 apply (zenon_L420_); trivial. % 1.30/1.45 apply (zenon_L655_); trivial. % 1.30/1.45 apply (zenon_L422_); trivial. % 1.30/1.45 (* end of lemma zenon_L773_ *) % 1.30/1.45 assert (zenon_L774_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (ndr1_0) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp4)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> False). % 1.30/1.45 do 0 intro. intros zenon_H8e zenon_H6a zenon_H62 zenon_H5f zenon_H1e5 zenon_Hca zenon_Hcb zenon_Hcc zenon_H66 zenon_Hc0 zenon_H1c zenon_H1a zenon_H237 zenon_H22c zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3 zenon_H140 zenon_Hd7 zenon_He4 zenon_Hfb zenon_H287 zenon_H54 zenon_H203 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Hf zenon_H184 zenon_H185 zenon_H186 zenon_H125 zenon_H1f6 zenon_H17f zenon_H289 zenon_H207. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.30/1.45 apply (zenon_L401_); trivial. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.30/1.45 apply (zenon_L773_); trivial. % 1.30/1.45 apply (zenon_L633_); trivial. % 1.30/1.45 (* end of lemma zenon_L774_ *) % 1.30/1.45 assert (zenon_L775_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp23)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (c2_1 (a586)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> False). % 1.30/1.45 do 0 intro. intros zenon_H207 zenon_H203 zenon_Hfb zenon_H2ca zenon_H2c8 zenon_Hf zenon_H4b zenon_H4c zenon_H4d zenon_H184 zenon_H185 zenon_H186 zenon_H2e zenon_H54 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1eb zenon_H15f zenon_H160 zenon_H125 zenon_H1f6 zenon_H2c9 zenon_H155. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H202 ]. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14a | zenon_intro zenon_H158 ]. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H8f | zenon_intro zenon_H206 ]. % 1.30/1.45 apply (zenon_L421_); trivial. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1f8 | zenon_intro zenon_Hfc ]. % 1.30/1.45 apply (zenon_L636_); trivial. % 1.30/1.45 exact (zenon_Hfb zenon_Hfc). % 1.30/1.45 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H6b ]. % 1.30/1.45 apply (zenon_L51_); trivial. % 1.30/1.45 apply (zenon_L648_); trivial. % 1.30/1.45 apply (zenon_L422_); trivial. % 1.30/1.45 (* end of lemma zenon_L775_ *) % 1.30/1.45 assert (zenon_L776_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(hskp24)) -> (~(hskp5)) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (c2_1 (a600)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (ndr1_0) -> (forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14)))))) -> (~(hskp16)) -> False). % 1.30/1.45 do 0 intro. intros zenon_H287 zenon_H1f4 zenon_H125 zenon_H184 zenon_H185 zenon_H186 zenon_H1f6 zenon_H6e zenon_H6c zenon_H6d zenon_Hf zenon_H10 zenon_Hfb. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H10a | zenon_intro zenon_H288 ]. % 1.30/1.45 apply (zenon_L399_); trivial. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H1c5 | zenon_intro zenon_Hfc ]. % 1.30/1.45 apply (zenon_L308_); trivial. % 1.30/1.45 exact (zenon_Hfb zenon_Hfc). % 1.30/1.45 (* end of lemma zenon_L776_ *) % 1.30/1.45 assert (zenon_L777_ : ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (ndr1_0) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(hskp16)) -> (c2_1 (a600)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> False). % 1.30/1.45 do 0 intro. intros zenon_H207 zenon_H203 zenon_H54 zenon_H2e zenon_H4d zenon_H4c zenon_H4b zenon_Hf zenon_H287 zenon_Hfb zenon_H6e zenon_H6c zenon_H6d zenon_H184 zenon_H185 zenon_H186 zenon_H125 zenon_H1f6 zenon_H5f zenon_H62. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H202 ]. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H36 | zenon_intro zenon_H65 ]. % 1.30/1.45 apply (zenon_L21_); trivial. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H10 | zenon_intro zenon_H60 ]. % 1.30/1.45 apply (zenon_L776_); trivial. % 1.30/1.45 exact (zenon_H5f zenon_H60). % 1.30/1.45 apply (zenon_L422_); trivial. % 1.30/1.45 (* end of lemma zenon_L777_ *) % 1.30/1.45 assert (zenon_L778_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp7)\/(hskp20))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp26)\/(hskp28))) -> (~(hskp7)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> False). % 1.30/1.45 do 0 intro. intros zenon_H8e zenon_Hbf zenon_H265 zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H207 zenon_H203 zenon_H54 zenon_H287 zenon_Hfb zenon_H184 zenon_H185 zenon_H186 zenon_H125 zenon_H1f6 zenon_H5f zenon_H62 zenon_Hc0 zenon_H13c zenon_Hd8 zenon_Hd7 zenon_H107 zenon_H2c0 zenon_H8 zenon_H9b zenon_H66 zenon_H6a zenon_H289 zenon_H17f zenon_H2ca zenon_H2c8 zenon_Hf zenon_Hca zenon_Hcb zenon_Hcc zenon_H6c zenon_H6d zenon_H6e zenon_H155. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.30/1.45 apply (zenon_L685_); trivial. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.30/1.45 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H99 | zenon_intro zenon_Hc2 ]. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.30/1.45 apply (zenon_L777_); trivial. % 1.30/1.45 apply (zenon_L416_); trivial. % 1.30/1.45 apply (zenon_L388_); trivial. % 1.30/1.45 (* end of lemma zenon_L778_ *) % 1.30/1.45 assert (zenon_L779_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (ndr1_0) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> False). % 1.30/1.45 do 0 intro. intros zenon_H254 zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H102 zenon_H100 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_Hf zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hcc zenon_Hcb zenon_Hca zenon_H1a zenon_H1c zenon_Hc0 zenon_H66 zenon_Hbf. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H23e | zenon_intro zenon_H251 ]. % 1.30/1.45 apply (zenon_L751_); trivial. % 1.30/1.45 apply (zenon_L543_); trivial. % 1.30/1.45 (* end of lemma zenon_L779_ *) % 1.30/1.45 assert (zenon_L780_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c3_1 (a599)) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a599)) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c1_1 (a599))) -> (ndr1_0) -> (~(hskp17)) -> False). % 1.30/1.45 do 0 intro. intros zenon_H123 zenon_Hcc zenon_H10b zenon_H10c zenon_H114 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1eb zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H155 zenon_Hcb zenon_H119 zenon_Hca zenon_Hf zenon_Ha. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10a | zenon_intro zenon_H124 ]. % 1.30/1.45 apply (zenon_L755_); trivial. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H11f | zenon_intro zenon_Hb ]. % 1.30/1.45 apply (zenon_L78_); trivial. % 1.30/1.45 exact (zenon_Ha zenon_Hb). % 1.30/1.45 (* end of lemma zenon_L780_ *) % 1.30/1.45 assert (zenon_L781_ : ((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp17)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (c3_1 (a599)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> False). % 1.30/1.45 do 0 intro. intros zenon_H87 zenon_H24f zenon_Ha zenon_Hca zenon_Hcb zenon_H155 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H1eb zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H114 zenon_H10c zenon_H10b zenon_Hcc zenon_H123 zenon_H237 zenon_H22c zenon_H22b. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.30/1.45 apply (zenon_L780_); trivial. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.30/1.45 apply (zenon_L226_); trivial. % 1.30/1.45 apply (zenon_L31_); trivial. % 1.30/1.45 (* end of lemma zenon_L781_ *) % 1.30/1.45 assert (zenon_L782_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> False). % 1.30/1.45 do 0 intro. intros zenon_H127 zenon_H8a zenon_H24f zenon_H155 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1eb zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_Ha zenon_H123 zenon_H285 zenon_H12f zenon_H130 zenon_H12e zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.30/1.45 apply (zenon_L368_); trivial. % 1.30/1.45 apply (zenon_L781_); trivial. % 1.30/1.45 (* end of lemma zenon_L782_ *) % 1.30/1.45 assert (zenon_L783_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c2_1 (a606))) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> False). % 1.30/1.45 do 0 intro. intros zenon_H8b zenon_H30 zenon_H104 zenon_Hcc zenon_Hcb zenon_Hca zenon_H237 zenon_H22c zenon_H22b zenon_H12e zenon_H130 zenon_H12f zenon_H274 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H83 zenon_H1e7. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.30/1.45 apply (zenon_L635_); trivial. % 1.30/1.45 apply (zenon_L466_); trivial. % 1.30/1.45 (* end of lemma zenon_L783_ *) % 1.30/1.45 assert (zenon_L784_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.30/1.45 do 0 intro. intros zenon_H137 zenon_H8e zenon_H30 zenon_H274 zenon_H83 zenon_H1e7 zenon_H254 zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H102 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hcc zenon_Hcb zenon_Hca zenon_H1a zenon_H1c zenon_Hc0 zenon_H66 zenon_Hbf zenon_H104 zenon_H285 zenon_H123 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H1eb zenon_H155 zenon_H8a zenon_H12c. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.30/1.45 apply (zenon_L779_); trivial. % 1.30/1.45 apply (zenon_L782_); trivial. % 1.30/1.45 apply (zenon_L783_); trivial. % 1.30/1.45 (* end of lemma zenon_L784_ *) % 1.30/1.45 assert (zenon_L785_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (ndr1_0) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> False). % 1.30/1.45 do 0 intro. intros zenon_H12c zenon_H8a zenon_H155 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1eb zenon_Ha zenon_H123 zenon_H285 zenon_H12f zenon_H130 zenon_H12e zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_Hbf zenon_H66 zenon_Hc1 zenon_Hb1 zenon_H92 zenon_H91 zenon_H90 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H46 zenon_H174 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H2be zenon_H184 zenon_H186 zenon_H185 zenon_Hf zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H102 zenon_H22b zenon_H22c zenon_H237 zenon_H24f zenon_H254. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H23e | zenon_intro zenon_H251 ]. % 1.30/1.45 apply (zenon_L534_); trivial. % 1.30/1.45 apply (zenon_L543_); trivial. % 1.30/1.45 apply (zenon_L782_); trivial. % 1.30/1.45 (* end of lemma zenon_L785_ *) % 1.30/1.45 assert (zenon_L786_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c1_1 (a603))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a586)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> False). % 1.30/1.45 do 0 intro. intros zenon_Hc6 zenon_H13b zenon_H8e zenon_H28d zenon_H274 zenon_H30 zenon_H254 zenon_H24f zenon_H102 zenon_He4 zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H174 zenon_H46 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_Hb1 zenon_Hc1 zenon_H66 zenon_Hbf zenon_H104 zenon_H285 zenon_H123 zenon_H1eb zenon_H2c9 zenon_H8a zenon_H12c zenon_H203 zenon_H2ca zenon_H2c8 zenon_Hca zenon_Hcb zenon_Hcc zenon_H107 zenon_Hd8 zenon_Hd7 zenon_H237 zenon_H22c zenon_H22b zenon_H155. % 1.30/1.45 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.30/1.45 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.30/1.45 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.30/1.45 apply (zenon_L658_); trivial. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.30/1.45 apply (zenon_L785_); trivial. % 1.30/1.45 apply (zenon_L688_); trivial. % 1.30/1.45 (* end of lemma zenon_L786_ *) % 1.30/1.45 assert (zenon_L787_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp14)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.30/1.45 do 0 intro. intros zenon_H1e1 zenon_H13b zenon_H8e zenon_H12c zenon_H8a zenon_Hc1 zenon_Hb1 zenon_H1eb zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H24f zenon_H285 zenon_H28d zenon_H274 zenon_H22b zenon_H22c zenon_H237 zenon_H104 zenon_H289 zenon_H17f zenon_H203 zenon_Hca zenon_Hcb zenon_Hcc zenon_H6c zenon_H6d zenon_H6e zenon_H155 zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hf zenon_H184 zenon_H185 zenon_H186 zenon_Hd3 zenon_H192 zenon_H30. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.30/1.45 apply (zenon_L652_); trivial. % 1.30/1.45 apply (zenon_L689_); trivial. % 1.30/1.45 (* end of lemma zenon_L787_ *) % 1.30/1.45 assert (zenon_L788_ : ((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(hskp16)) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> False). % 1.30/1.45 do 0 intro. intros zenon_H67 zenon_Hc0 zenon_H24f zenon_H287 zenon_Hfb zenon_H184 zenon_H186 zenon_H185 zenon_H5f zenon_H62 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H6c zenon_H6d zenon_H6e zenon_H155 zenon_Hca zenon_Hcb zenon_Hcc zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Hf. zenon_intro zenon_H68. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H39. zenon_intro zenon_H69. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H37. zenon_intro zenon_H38. % 1.30/1.45 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.30/1.45 apply (zenon_L630_); trivial. % 1.30/1.45 apply (zenon_L507_); trivial. % 1.30/1.45 (* end of lemma zenon_L788_ *) % 1.30/1.45 assert (zenon_L789_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp4)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp14)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.30/1.45 do 0 intro. intros zenon_H1e1 zenon_H13b zenon_H8a zenon_Hc1 zenon_Hb1 zenon_H24f zenon_H285 zenon_H274 zenon_H22b zenon_H22c zenon_H237 zenon_H104 zenon_H17f zenon_H289 zenon_H12c zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H155 zenon_H15f zenon_H15e zenon_H160 zenon_H1eb zenon_Hcc zenon_Hcb zenon_Hca zenon_H203 zenon_H2ad zenon_H28d zenon_H1f6 zenon_H125 zenon_H207 zenon_H8e zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hf zenon_H184 zenon_H185 zenon_H186 zenon_Hd3 zenon_H192 zenon_H30. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.30/1.45 apply (zenon_L652_); trivial. % 1.30/1.45 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.30/1.45 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.30/1.45 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.30/1.45 apply (zenon_L768_); trivial. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.30/1.45 apply (zenon_L401_); trivial. % 1.30/1.45 apply (zenon_L688_); trivial. % 1.30/1.45 (* end of lemma zenon_L789_ *) % 1.30/1.45 assert (zenon_L790_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> (c3_1 (a636)) -> (~(c1_1 (a636))) -> (~(c0_1 (a636))) -> (~(hskp16)) -> (ndr1_0) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(hskp26)) -> False). % 1.30/1.45 do 0 intro. intros zenon_H265 zenon_H39 zenon_H38 zenon_H37 zenon_Hfb zenon_Hf zenon_He4 zenon_Hd7 zenon_H79 zenon_H185 zenon_H186 zenon_H184 zenon_H287 zenon_H1. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H36 | zenon_intro zenon_H266 ]. % 1.30/1.45 apply (zenon_L14_); trivial. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H13d | zenon_intro zenon_H2 ]. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H10a | zenon_intro zenon_H288 ]. % 1.30/1.45 apply (zenon_L207_); trivial. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H1c5 | zenon_intro zenon_Hfc ]. % 1.30/1.45 apply (zenon_L418_); trivial. % 1.30/1.45 exact (zenon_Hfb zenon_Hfc). % 1.30/1.45 exact (zenon_H1 zenon_H2). % 1.30/1.45 (* end of lemma zenon_L790_ *) % 1.30/1.45 assert (zenon_L791_ : ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(hskp17)) -> (~(hskp4)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> False). % 1.30/1.45 do 0 intro. intros zenon_H155 zenon_Ha zenon_H17f zenon_H289 zenon_H1eb zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H114 zenon_H10c zenon_H10b zenon_H10a zenon_Hf zenon_H119 zenon_Hca zenon_Hcb zenon_Hcc. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14a | zenon_intro zenon_H158 ]. % 1.30/1.45 apply (zenon_L645_); trivial. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H6b ]. % 1.30/1.45 apply (zenon_L51_); trivial. % 1.30/1.45 apply (zenon_L754_); trivial. % 1.30/1.45 (* end of lemma zenon_L791_ *) % 1.30/1.45 assert (zenon_L792_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> (~(hskp17)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(hskp26)) -> (ndr1_0) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (~(hskp16)) -> False). % 1.30/1.45 do 0 intro. intros zenon_H287 zenon_Hcc zenon_Hcb zenon_Hca zenon_H119 zenon_H10b zenon_H10c zenon_H114 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1eb zenon_H289 zenon_H17f zenon_Ha zenon_H155 zenon_H1 zenon_Hf zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_He4 zenon_Hd7 zenon_H140 zenon_Hfb. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H10a | zenon_intro zenon_H288 ]. % 1.30/1.45 apply (zenon_L791_); trivial. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H1c5 | zenon_intro zenon_Hfc ]. % 1.30/1.45 apply (zenon_L419_); trivial. % 1.30/1.45 exact (zenon_Hfb zenon_Hfc). % 1.30/1.45 (* end of lemma zenon_L792_ *) % 1.30/1.45 assert (zenon_L793_ : ((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp16)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(hskp26)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(hskp17)) -> (~(hskp4)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (c0_1 (a611)) -> (c1_1 (a611)) -> (c3_1 (a611)) -> False). % 1.30/1.45 do 0 intro. intros zenon_Hbc zenon_H24f zenon_Hfb zenon_H140 zenon_Hd7 zenon_He4 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H1 zenon_H155 zenon_Ha zenon_H17f zenon_H289 zenon_H1eb zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H114 zenon_H10c zenon_H10b zenon_Hca zenon_Hcb zenon_Hcc zenon_H287 zenon_H1a zenon_H1c zenon_H7a zenon_H7b zenon_H7c. % 1.30/1.45 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.30/1.45 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.30/1.45 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.30/1.45 apply (zenon_L792_); trivial. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.30/1.45 apply (zenon_L306_); trivial. % 1.30/1.45 apply (zenon_L31_); trivial. % 1.30/1.45 (* end of lemma zenon_L793_ *) % 1.30/1.45 assert (zenon_L794_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> False). % 1.30/1.45 do 0 intro. intros zenon_H127 zenon_H8a zenon_Hc0 zenon_H24f zenon_H1a zenon_H1c zenon_H4b zenon_H4c zenon_H4d zenon_H274 zenon_Hca zenon_Hcb zenon_Hcc zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3 zenon_H276 zenon_H277 zenon_H278 zenon_H285. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.30/1.45 apply (zenon_L278_); trivial. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.30/1.45 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.30/1.45 apply (zenon_L630_); trivial. % 1.30/1.45 apply (zenon_L501_); trivial. % 1.30/1.45 (* end of lemma zenon_L794_ *) % 1.30/1.45 assert (zenon_L795_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.30/1.45 do 0 intro. intros zenon_H8b zenon_H12c zenon_H8a zenon_Hc0 zenon_H24f zenon_H1a zenon_H1c zenon_Hca zenon_Hcb zenon_Hcc zenon_H1c3 zenon_H285 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.30/1.45 apply (zenon_L693_); trivial. % 1.30/1.45 apply (zenon_L794_); trivial. % 1.30/1.45 (* end of lemma zenon_L795_ *) % 1.30/1.45 assert (zenon_L796_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (ndr1_0) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp4)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.30/1.45 do 0 intro. intros zenon_H8e zenon_H28d zenon_H274 zenon_H30 zenon_H254 zenon_H24f zenon_H102 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_Hf zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hcc zenon_Hcb zenon_Hca zenon_H1a zenon_H1c zenon_Hc0 zenon_H66 zenon_Hbf zenon_H8a zenon_H155 zenon_H1eb zenon_H17f zenon_H289 zenon_Hfb zenon_H287 zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H12c. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.30/1.45 apply (zenon_L753_); trivial. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.30/1.45 apply (zenon_L278_); trivial. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.30/1.45 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.30/1.45 apply (zenon_L630_); trivial. % 1.30/1.45 apply (zenon_L793_); trivial. % 1.30/1.45 apply (zenon_L631_); trivial. % 1.30/1.45 apply (zenon_L795_); trivial. % 1.30/1.45 (* end of lemma zenon_L796_ *) % 1.30/1.45 assert (zenon_L797_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (~(hskp4)) -> (~(hskp10)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> (ndr1_0) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/((hskp0)\/(hskp11))) -> False). % 1.30/1.45 do 0 intro. intros zenon_H19b zenon_H198 zenon_H13b zenon_H28b zenon_H207 zenon_H12c zenon_H285 zenon_H287 zenon_H289 zenon_H1eb zenon_H155 zenon_H8a zenon_Hbf zenon_H66 zenon_H1c zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H2be zenon_H184 zenon_H186 zenon_H185 zenon_H102 zenon_H24f zenon_H254 zenon_H30 zenon_H274 zenon_H28d zenon_H8e zenon_Hd5 zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H1e5 zenon_H17f zenon_H1a zenon_H5f zenon_H62 zenon_Hc0 zenon_H6a zenon_Hf zenon_H276 zenon_H277 zenon_H278 zenon_H27f zenon_H281. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.30/1.45 apply (zenon_L267_); trivial. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.30/1.45 apply (zenon_L634_); trivial. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.30/1.45 apply (zenon_L796_); trivial. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.30/1.45 apply (zenon_L288_); trivial. % 1.30/1.45 apply (zenon_L795_); trivial. % 1.30/1.45 (* end of lemma zenon_L797_ *) % 1.30/1.45 assert (zenon_L798_ : ((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp24))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> False). % 1.30/1.45 do 0 intro. intros zenon_H1bc zenon_H198 zenon_H102 zenon_H85 zenon_H285 zenon_H8a zenon_H12c zenon_H30 zenon_H192 zenon_H186 zenon_H185 zenon_H184 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1e7 zenon_H155 zenon_Hcc zenon_Hcb zenon_Hca zenon_H203 zenon_H207 zenon_H289 zenon_H17f zenon_H276 zenon_H277 zenon_H278 zenon_H28b zenon_Hf9 zenon_Hb1 zenon_H15f zenon_H15e zenon_H160 zenon_H274 zenon_H8e zenon_H13b zenon_H1e1. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.30/1.45 apply (zenon_L652_); trivial. % 1.30/1.45 apply (zenon_L699_); trivial. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.30/1.45 apply (zenon_L488_); trivial. % 1.30/1.45 apply (zenon_L699_); trivial. % 1.30/1.45 (* end of lemma zenon_L798_ *) % 1.30/1.45 assert (zenon_L799_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp24))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (~(hskp4)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> False). % 1.30/1.45 do 0 intro. intros zenon_H137 zenon_H8e zenon_Hc0 zenon_H30 zenon_H104 zenon_H1a zenon_H1c zenon_H274 zenon_H83 zenon_H1e7 zenon_Hca zenon_Hcb zenon_Hcc zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3 zenon_H28b zenon_H278 zenon_H277 zenon_H276 zenon_H17f zenon_H289 zenon_H207. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.30/1.45 apply (zenon_L288_); trivial. % 1.30/1.45 apply (zenon_L738_); trivial. % 1.30/1.45 (* end of lemma zenon_L799_ *) % 1.30/1.45 assert (zenon_L800_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> False). % 1.30/1.45 do 0 intro. intros zenon_H1e2 zenon_H198 zenon_H102 zenon_H85 zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H8a zenon_H12c zenon_H30 zenon_H192 zenon_H186 zenon_H185 zenon_H184 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1e7 zenon_H176 zenon_H177 zenon_H178 zenon_Hb1 zenon_Hc1 zenon_H1e1. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.30/1.45 apply (zenon_L675_); trivial. % 1.30/1.45 apply (zenon_L489_); trivial. % 1.30/1.45 (* end of lemma zenon_L800_ *) % 1.30/1.45 assert (zenon_L801_ : ((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/((hskp0)\/(hskp11))) -> (~(hskp0)) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> False). % 1.30/1.45 do 0 intro. intros zenon_H19c zenon_H209 zenon_H85 zenon_H281 zenon_H27f zenon_H278 zenon_H277 zenon_H276 zenon_H1e1 zenon_Hc1 zenon_Hb1 zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H184 zenon_H185 zenon_H186 zenon_H192 zenon_H30 zenon_H13b zenon_H104 zenon_H28b zenon_H207 zenon_H12c zenon_H285 zenon_H287 zenon_H289 zenon_H17f zenon_H1eb zenon_H155 zenon_H8a zenon_Hbf zenon_H66 zenon_Hc0 zenon_H1c zenon_H1c3 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H2be zenon_H102 zenon_H24f zenon_H254 zenon_H274 zenon_H28d zenon_H8e zenon_H198 zenon_H19b. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.30/1.45 apply (zenon_L267_); trivial. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.30/1.45 apply (zenon_L675_); trivial. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.30/1.45 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.30/1.45 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.30/1.45 apply (zenon_L796_); trivial. % 1.30/1.45 apply (zenon_L799_); trivial. % 1.30/1.45 apply (zenon_L198_); trivial. % 1.30/1.45 apply (zenon_L800_); trivial. % 1.30/1.45 (* end of lemma zenon_L801_ *) % 1.30/1.45 assert (zenon_L802_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (ndr1_0) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H8e zenon_H6a zenon_H8a zenon_Hc0 zenon_H24f zenon_H5f zenon_H62 zenon_H1c3 zenon_H285 zenon_H54 zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30 zenon_H192 zenon_Hd3 zenon_H186 zenon_H185 zenon_H184 zenon_Hf zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H28d zenon_H2ad zenon_H203 zenon_Hfb zenon_H92 zenon_H91 zenon_H90 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1eb zenon_H160 zenon_H15e zenon_H15f zenon_H155 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H12c. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.30/1.46 apply (zenon_L767_); trivial. % 1.30/1.46 apply (zenon_L698_); trivial. % 1.30/1.46 (* end of lemma zenon_L802_ *) % 1.30/1.46 assert (zenon_L803_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (c3_1 (a598)) -> (c0_1 (a598)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp24))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (~(hskp4)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H137 zenon_H8e zenon_H12c zenon_H6a zenon_H8a zenon_Hc0 zenon_H24f zenon_H5f zenon_H62 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1c3 zenon_H285 zenon_H54 zenon_H160 zenon_H15f zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H274 zenon_H30 zenon_H28b zenon_H278 zenon_H277 zenon_H276 zenon_H17f zenon_H289 zenon_H207. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.30/1.46 apply (zenon_L288_); trivial. % 1.30/1.46 apply (zenon_L698_); trivial. % 1.30/1.46 (* end of lemma zenon_L803_ *) % 1.30/1.46 assert (zenon_L804_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp24))) -> (~(hskp4)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp14)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H1e1 zenon_H13b zenon_H28b zenon_H17f zenon_H289 zenon_H207 zenon_H12c zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H155 zenon_H15f zenon_H15e zenon_H160 zenon_H1eb zenon_Hcc zenon_Hcb zenon_Hca zenon_H203 zenon_H2ad zenon_H28d zenon_H274 zenon_H278 zenon_H277 zenon_H276 zenon_H54 zenon_H285 zenon_H1c3 zenon_H62 zenon_H5f zenon_H24f zenon_Hc0 zenon_H8a zenon_H6a zenon_H8e zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hf zenon_H184 zenon_H185 zenon_H186 zenon_Hd3 zenon_H192 zenon_H30. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.30/1.46 apply (zenon_L652_); trivial. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.30/1.46 apply (zenon_L802_); trivial. % 1.30/1.46 apply (zenon_L803_); trivial. % 1.30/1.46 (* end of lemma zenon_L804_ *) % 1.30/1.46 assert (zenon_L805_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))) -> (c1_1 (a612)) -> (c3_1 (a612)) -> (c2_1 (a612)) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5)))))) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.30/1.46 do 0 intro. intros zenon_H174 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H6b zenon_Hb3 zenon_Hb5 zenon_Hb4 zenon_Hec zenon_Hf zenon_H46. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H167 | zenon_intro zenon_H175 ]. % 1.30/1.46 apply (zenon_L624_); trivial. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H10 | zenon_intro zenon_H47 ]. % 1.30/1.46 apply (zenon_L109_); trivial. % 1.30/1.46 exact (zenon_H46 zenon_H47). % 1.30/1.46 (* end of lemma zenon_L805_ *) % 1.30/1.46 assert (zenon_L806_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((hskp26)\/(hskp11)) -> (~(hskp11)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H1bf zenon_H5 zenon_H3 zenon_Hf9 zenon_Hb1 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H299 zenon_H298 zenon_H297 zenon_H174 zenon_H66. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.30/1.46 apply (zenon_L3_); trivial. % 1.30/1.46 apply (zenon_L713_); trivial. % 1.30/1.46 apply (zenon_L322_); trivial. % 1.30/1.46 (* end of lemma zenon_L806_ *) % 1.30/1.46 assert (zenon_L807_ : ((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> False). % 1.30/1.46 do 0 intro. intros zenon_Hc2 zenon_H66 zenon_H174 zenon_H46 zenon_H297 zenon_H298 zenon_H299 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_Hb1 zenon_Hf9 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hf. zenon_intro zenon_Hc3. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H9e. zenon_intro zenon_Hc4. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H9f. zenon_intro zenon_Ha8. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.30/1.46 apply (zenon_L386_); trivial. % 1.30/1.46 apply (zenon_L713_); trivial. % 1.30/1.46 (* end of lemma zenon_L807_ *) % 1.30/1.46 assert (zenon_L808_ : ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> (~(hskp19)) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (ndr1_0) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> (~(hskp18)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> False). % 1.30/1.46 do 0 intro. intros zenon_Hbf zenon_H66 zenon_H174 zenon_H46 zenon_H297 zenon_H298 zenon_H299 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_Hb1 zenon_Hf9 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H2be zenon_H23e zenon_H184 zenon_H186 zenon_H185 zenon_Hf zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H100 zenon_H102. % 1.30/1.46 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H99 | zenon_intro zenon_Hc2 ]. % 1.30/1.46 apply (zenon_L405_); trivial. % 1.30/1.46 apply (zenon_L807_); trivial. % 1.30/1.46 (* end of lemma zenon_L808_ *) % 1.30/1.46 assert (zenon_L809_ : ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c1_1 (a633)) -> (~(c3_1 (a633))) -> (~(c0_1 (a633))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c1_1 (a612)) -> (c3_1 (a612)) -> (c2_1 (a612)) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5)))))) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.30/1.46 do 0 intro. intros zenon_H155 zenon_H14d zenon_H14c zenon_H14b zenon_Hcc zenon_Hcb zenon_Hca zenon_H174 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hb3 zenon_Hb5 zenon_Hb4 zenon_Hec zenon_Hf zenon_H46. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14a | zenon_intro zenon_H158 ]. % 1.30/1.46 apply (zenon_L96_); trivial. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H6b ]. % 1.30/1.46 apply (zenon_L51_); trivial. % 1.30/1.46 apply (zenon_L805_); trivial. % 1.30/1.46 (* end of lemma zenon_L809_ *) % 1.30/1.46 assert (zenon_L810_ : ((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> (~(hskp18)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a617)) -> (~(c1_1 (a617))) -> (~(c0_1 (a617))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H154 zenon_Hc0 zenon_H24f zenon_H185 zenon_H186 zenon_H184 zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H100 zenon_H102 zenon_H174 zenon_H46 zenon_H155 zenon_H248 zenon_H247 zenon_H246 zenon_Hca zenon_Hcb zenon_Hcc zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_Hf. zenon_intro zenon_H156. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14d. zenon_intro zenon_H157. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.30/1.46 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.30/1.46 apply (zenon_L630_); trivial. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.30/1.46 apply (zenon_L227_); trivial. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.30/1.46 apply (zenon_L809_); trivial. % 1.30/1.46 apply (zenon_L498_); trivial. % 1.30/1.46 (* end of lemma zenon_L810_ *) % 1.30/1.46 assert (zenon_L811_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (ndr1_0) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H254 zenon_H159 zenon_Hc0 zenon_H24f zenon_H155 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1c3 zenon_H42 zenon_H222 zenon_H102 zenon_H100 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_Hf zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Hf9 zenon_Hb1 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H299 zenon_H298 zenon_H297 zenon_H46 zenon_H174 zenon_H66 zenon_Hbf. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H23e | zenon_intro zenon_H251 ]. % 1.30/1.46 apply (zenon_L808_); trivial. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_Hf. zenon_intro zenon_H252. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H248. zenon_intro zenon_H253. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H246. zenon_intro zenon_H247. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H146 | zenon_intro zenon_H154 ]. % 1.30/1.46 apply (zenon_L324_); trivial. % 1.30/1.46 apply (zenon_L810_); trivial. % 1.30/1.46 (* end of lemma zenon_L811_ *) % 1.30/1.46 assert (zenon_L812_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a633))) -> (~(c3_1 (a633))) -> (c1_1 (a633)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (ndr1_0) -> (~(hskp17)) -> False). % 1.30/1.46 do 0 intro. intros zenon_H123 zenon_Hcc zenon_Hcb zenon_Hca zenon_H119 zenon_H10b zenon_H10c zenon_H114 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1eb zenon_H14b zenon_H14c zenon_H14d zenon_H155 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Hf zenon_Ha. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10a | zenon_intro zenon_H124 ]. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14a | zenon_intro zenon_H158 ]. % 1.30/1.46 apply (zenon_L96_); trivial. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H6b ]. % 1.30/1.46 apply (zenon_L51_); trivial. % 1.30/1.46 apply (zenon_L754_); trivial. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H11f | zenon_intro zenon_Hb ]. % 1.30/1.46 apply (zenon_L385_); trivial. % 1.30/1.46 exact (zenon_Ha zenon_Hb). % 1.30/1.46 (* end of lemma zenon_L812_ *) % 1.30/1.46 assert (zenon_L813_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp5)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H127 zenon_H159 zenon_H128 zenon_H125 zenon_H155 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1eb zenon_Hcc zenon_Hcb zenon_Hca zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_Ha zenon_H123 zenon_H297 zenon_H298 zenon_H299 zenon_H42 zenon_H222. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H146 | zenon_intro zenon_H154 ]. % 1.30/1.46 apply (zenon_L324_); trivial. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_Hf. zenon_intro zenon_H156. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14d. zenon_intro zenon_H157. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H119 | zenon_intro zenon_H12b ]. % 1.30/1.46 apply (zenon_L812_); trivial. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H126 | zenon_intro zenon_H43 ]. % 1.30/1.46 exact (zenon_H125 zenon_H126). % 1.30/1.46 exact (zenon_H42 zenon_H43). % 1.30/1.46 (* end of lemma zenon_L813_ *) % 1.30/1.46 assert (zenon_L814_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H194 zenon_H8e zenon_H254 zenon_H159 zenon_Hc0 zenon_H24f zenon_H155 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1c3 zenon_H42 zenon_H222 zenon_H102 zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Hf9 zenon_Hb1 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H299 zenon_H298 zenon_H297 zenon_H46 zenon_H174 zenon_H66 zenon_Hbf zenon_H123 zenon_H1eb zenon_H125 zenon_H128 zenon_H12c. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.30/1.46 apply (zenon_L811_); trivial. % 1.30/1.46 apply (zenon_L813_); trivial. % 1.30/1.46 apply (zenon_L718_); trivial. % 1.30/1.46 (* end of lemma zenon_L814_ *) % 1.30/1.46 assert (zenon_L815_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> (~(hskp7)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H197 zenon_H1bf zenon_H1e1 zenon_Hbf zenon_H6a zenon_H66 zenon_H62 zenon_H5f zenon_H265 zenon_Hd5 zenon_H8 zenon_H9b zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H184 zenon_H185 zenon_H186 zenon_H192 zenon_H30 zenon_H12c zenon_H128 zenon_H125 zenon_H1eb zenon_H123 zenon_H174 zenon_H297 zenon_H298 zenon_H299 zenon_Hb1 zenon_Hf9 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H2be zenon_H102 zenon_H222 zenon_H42 zenon_H1c3 zenon_H155 zenon_H24f zenon_Hc0 zenon_H159 zenon_H254 zenon_H8e zenon_H198. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.30/1.46 apply (zenon_L672_); trivial. % 1.30/1.46 apply (zenon_L814_); trivial. % 1.30/1.46 apply (zenon_L322_); trivial. % 1.30/1.46 (* end of lemma zenon_L815_ *) % 1.30/1.46 assert (zenon_L816_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H197 zenon_H1bf zenon_H2ad zenon_H299 zenon_H298 zenon_H297 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H12c zenon_H128 zenon_H125 zenon_H1eb zenon_H123 zenon_Hbf zenon_H66 zenon_H174 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_Hb1 zenon_Hf9 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H2be zenon_H184 zenon_H186 zenon_H185 zenon_H102 zenon_H222 zenon_H42 zenon_H1c3 zenon_H155 zenon_H24f zenon_Hc0 zenon_H159 zenon_H254 zenon_H8e zenon_H198. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.30/1.46 apply (zenon_L349_); trivial. % 1.30/1.46 apply (zenon_L814_); trivial. % 1.30/1.46 apply (zenon_L322_); trivial. % 1.30/1.46 (* end of lemma zenon_L816_ *) % 1.30/1.46 assert (zenon_L817_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (ndr1_0) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H254 zenon_Hc0 zenon_H24f zenon_H1a zenon_H1c zenon_Hca zenon_Hcb zenon_Hcc zenon_H1c3 zenon_H102 zenon_H100 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_Hf zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Hf9 zenon_Hb1 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H299 zenon_H298 zenon_H297 zenon_H46 zenon_H174 zenon_H66 zenon_Hbf. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H23e | zenon_intro zenon_H251 ]. % 1.30/1.46 apply (zenon_L808_); trivial. % 1.30/1.46 apply (zenon_L752_); trivial. % 1.30/1.46 (* end of lemma zenon_L817_ *) % 1.30/1.46 assert (zenon_L818_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp1)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> False). % 1.30/1.46 do 0 intro. intros zenon_H1eb zenon_Hb1 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H297 zenon_H298 zenon_H299 zenon_Hf9 zenon_H114 zenon_H10c zenon_H10b zenon_H10a zenon_Hf zenon_H119 zenon_Hca zenon_Hcb zenon_Hcc. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1ec ]. % 1.30/1.46 apply (zenon_L712_); trivial. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H18f ]. % 1.30/1.46 apply (zenon_L246_); trivial. % 1.30/1.46 apply (zenon_L123_); trivial. % 1.30/1.46 (* end of lemma zenon_L818_ *) % 1.30/1.46 assert (zenon_L819_ : ((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp17)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp1)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (c3_1 (a599)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H87 zenon_H24f zenon_Ha zenon_Hca zenon_Hcb zenon_H1eb zenon_Hb1 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H297 zenon_H298 zenon_H299 zenon_Hf9 zenon_H114 zenon_H10c zenon_H10b zenon_Hcc zenon_H123 zenon_H237 zenon_H22c zenon_H22b. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10a | zenon_intro zenon_H124 ]. % 1.30/1.46 apply (zenon_L818_); trivial. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H11f | zenon_intro zenon_Hb ]. % 1.30/1.46 apply (zenon_L78_); trivial. % 1.30/1.46 exact (zenon_Ha zenon_Hb). % 1.30/1.46 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.30/1.46 apply (zenon_L226_); trivial. % 1.30/1.46 apply (zenon_L31_); trivial. % 1.30/1.46 (* end of lemma zenon_L819_ *) % 1.30/1.46 assert (zenon_L820_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c1_1 (a603))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> (ndr1_0) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H13b zenon_H8e zenon_H30 zenon_H274 zenon_H83 zenon_H1e7 zenon_H254 zenon_Hc0 zenon_H24f zenon_H1a zenon_H1c zenon_Hca zenon_Hcb zenon_Hcc zenon_H1c3 zenon_H102 zenon_He4 zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H46 zenon_H174 zenon_H66 zenon_Hbf zenon_H104 zenon_H285 zenon_H123 zenon_H1eb zenon_H8a zenon_H12c zenon_Hf zenon_H22b zenon_H22c zenon_H237 zenon_Hf9 zenon_Hb1 zenon_Hd8 zenon_Hd7 zenon_H299 zenon_H298 zenon_H297 zenon_H107. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.30/1.46 apply (zenon_L365_); trivial. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.30/1.46 apply (zenon_L817_); trivial. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.30/1.46 apply (zenon_L679_); trivial. % 1.30/1.46 apply (zenon_L819_); trivial. % 1.30/1.46 apply (zenon_L783_); trivial. % 1.30/1.46 (* end of lemma zenon_L820_ *) % 1.30/1.46 assert (zenon_L821_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (~(hskp7)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> False). % 1.30/1.46 do 0 intro. intros zenon_Hc6 zenon_Hbf zenon_H66 zenon_H174 zenon_H46 zenon_H297 zenon_H298 zenon_H299 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_Hb1 zenon_Hf9 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H8 zenon_H9b. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.30/1.46 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H99 | zenon_intro zenon_Hc2 ]. % 1.30/1.46 apply (zenon_L41_); trivial. % 1.30/1.46 apply (zenon_L807_); trivial. % 1.30/1.46 (* end of lemma zenon_L821_ *) % 1.30/1.46 assert (zenon_L822_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43)))))) -> (~(c3_1 (a586))) -> (ndr1_0) -> (~(hskp16)) -> False). % 1.30/1.46 do 0 intro. intros zenon_H203 zenon_H92 zenon_H91 zenon_H90 zenon_H2ca zenon_H2c9 zenon_H1b1 zenon_H2c8 zenon_Hf zenon_Hfb. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H8f | zenon_intro zenon_H206 ]. % 1.30/1.46 apply (zenon_L39_); trivial. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H1f8 | zenon_intro zenon_Hfc ]. % 1.30/1.46 apply (zenon_L621_); trivial. % 1.30/1.46 exact (zenon_Hfb zenon_Hfc). % 1.30/1.46 (* end of lemma zenon_L822_ *) % 1.30/1.46 assert (zenon_L823_ : ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> (~(hskp16)) -> (~(c3_1 (a586))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (ndr1_0) -> (~(hskp14)) -> False). % 1.30/1.46 do 0 intro. intros zenon_H2ad zenon_Hfb zenon_H2c8 zenon_H2c9 zenon_H2ca zenon_H90 zenon_H91 zenon_H92 zenon_H203 zenon_H299 zenon_H298 zenon_H297 zenon_Hf zenon_Hd3. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H2ad); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H2ae ]. % 1.30/1.46 apply (zenon_L822_); trivial. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H9d | zenon_intro zenon_Hd4 ]. % 1.30/1.46 apply (zenon_L320_); trivial. % 1.30/1.46 exact (zenon_Hd3 zenon_Hd4). % 1.30/1.46 (* end of lemma zenon_L823_ *) % 1.30/1.46 assert (zenon_L824_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c0_1 (a595))) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (ndr1_0) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> False). % 1.30/1.46 do 0 intro. intros zenon_H106 zenon_H178 zenon_H177 zenon_H119 zenon_H176 zenon_H92 zenon_H91 zenon_H90 zenon_Hf zenon_H297 zenon_H298 zenon_H299. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H108 ]. % 1.30/1.46 apply (zenon_L343_); trivial. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H8f | zenon_intro zenon_H9d ]. % 1.30/1.46 apply (zenon_L39_); trivial. % 1.30/1.46 apply (zenon_L320_); trivial. % 1.30/1.46 (* end of lemma zenon_L824_ *) % 1.30/1.46 assert (zenon_L825_ : ((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H87 zenon_H24f zenon_H299 zenon_H298 zenon_H297 zenon_H90 zenon_H91 zenon_H92 zenon_H176 zenon_H177 zenon_H178 zenon_H106 zenon_H237 zenon_H22c zenon_H22b. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.30/1.46 apply (zenon_L824_); trivial. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.30/1.46 apply (zenon_L226_); trivial. % 1.30/1.46 apply (zenon_L31_); trivial. % 1.30/1.46 (* end of lemma zenon_L825_ *) % 1.30/1.46 assert (zenon_L826_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H127 zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H176 zenon_H177 zenon_H178 zenon_H285 zenon_H12f zenon_H130 zenon_H12e zenon_H90 zenon_H91 zenon_H92 zenon_H297 zenon_H298 zenon_H299 zenon_H106. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.30/1.46 apply (zenon_L589_); trivial. % 1.30/1.46 apply (zenon_L825_); trivial. % 1.30/1.46 (* end of lemma zenon_L826_ *) % 1.30/1.46 assert (zenon_L827_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp14)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H1e1 zenon_H13b zenon_H12c zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H176 zenon_H177 zenon_H178 zenon_H285 zenon_H106 zenon_H28d zenon_H203 zenon_H297 zenon_H298 zenon_H299 zenon_H2ad zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hf zenon_H184 zenon_H185 zenon_H186 zenon_Hd3 zenon_H192 zenon_H30. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.30/1.46 apply (zenon_L652_); trivial. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.30/1.46 apply (zenon_L823_); trivial. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.30/1.46 apply (zenon_L763_); trivial. % 1.30/1.46 apply (zenon_L826_); trivial. % 1.30/1.46 (* end of lemma zenon_L827_ *) % 1.30/1.46 assert (zenon_L828_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (ndr1_0) -> (~(hskp18)) -> False). % 1.30/1.46 do 0 intro. intros zenon_H24f zenon_H299 zenon_H298 zenon_H297 zenon_H90 zenon_H91 zenon_H92 zenon_H176 zenon_H177 zenon_H178 zenon_H106 zenon_H237 zenon_H22c zenon_H22b zenon_H102 zenon_H184 zenon_H186 zenon_H185 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_Hf zenon_H100. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.30/1.46 apply (zenon_L824_); trivial. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.30/1.46 apply (zenon_L226_); trivial. % 1.30/1.46 apply (zenon_L498_); trivial. % 1.30/1.46 (* end of lemma zenon_L828_ *) % 1.30/1.46 assert (zenon_L829_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H137 zenon_H12c zenon_H8a zenon_H285 zenon_H106 zenon_H299 zenon_H298 zenon_H297 zenon_H92 zenon_H91 zenon_H90 zenon_H178 zenon_H177 zenon_H176 zenon_H22b zenon_H22c zenon_H237 zenon_H102 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H184 zenon_H186 zenon_H185 zenon_H24f. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.30/1.46 apply (zenon_L828_); trivial. % 1.30/1.46 apply (zenon_L826_); trivial. % 1.30/1.46 (* end of lemma zenon_L829_ *) % 1.30/1.46 assert (zenon_L830_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c1_1 (a603))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> False). % 1.30/1.46 do 0 intro. intros zenon_Hc6 zenon_H13b zenon_H12c zenon_H8a zenon_H285 zenon_H106 zenon_H299 zenon_H298 zenon_H297 zenon_H178 zenon_H177 zenon_H176 zenon_H102 zenon_He4 zenon_H184 zenon_H186 zenon_H185 zenon_H24f zenon_H203 zenon_H2ca zenon_H2c8 zenon_Hca zenon_Hcb zenon_Hcc zenon_H107 zenon_Hd8 zenon_Hd7 zenon_H237 zenon_H22c zenon_H22b zenon_H155. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.30/1.46 apply (zenon_L658_); trivial. % 1.30/1.46 apply (zenon_L829_); trivial. % 1.30/1.46 (* end of lemma zenon_L830_ *) % 1.30/1.46 assert (zenon_L831_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> ((hskp26)\/(hskp11)) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H198 zenon_H155 zenon_H107 zenon_H102 zenon_H104 zenon_H85 zenon_H30 zenon_H192 zenon_H186 zenon_H185 zenon_H184 zenon_H1e7 zenon_H2ad zenon_H203 zenon_H28d zenon_H106 zenon_H285 zenon_H178 zenon_H177 zenon_H176 zenon_H22b zenon_H22c zenon_H237 zenon_H24f zenon_H8a zenon_H12c zenon_H13b zenon_H1e1 zenon_H66 zenon_H174 zenon_H297 zenon_H298 zenon_H299 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_Hb1 zenon_Hf9 zenon_H5 zenon_H1bf. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.30/1.46 apply (zenon_L806_); trivial. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.30/1.46 apply (zenon_L827_); trivial. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.30/1.46 apply (zenon_L365_); trivial. % 1.30/1.46 apply (zenon_L681_); trivial. % 1.30/1.46 apply (zenon_L830_); trivial. % 1.30/1.46 (* end of lemma zenon_L831_ *) % 1.30/1.46 assert (zenon_L832_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c1_1 (a603))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> (ndr1_0) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H13b zenon_H8e zenon_H30 zenon_H274 zenon_H83 zenon_H1e7 zenon_H254 zenon_H24f zenon_H102 zenon_He4 zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hcc zenon_Hcb zenon_Hca zenon_H1a zenon_H1c zenon_Hc0 zenon_H66 zenon_Hbf zenon_H104 zenon_H285 zenon_H123 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H1eb zenon_H155 zenon_H8a zenon_H12c zenon_Hf zenon_H22b zenon_H22c zenon_H237 zenon_Hf9 zenon_Hb1 zenon_Hd8 zenon_Hd7 zenon_H299 zenon_H298 zenon_H297 zenon_H107. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.30/1.46 apply (zenon_L365_); trivial. % 1.30/1.46 apply (zenon_L784_); trivial. % 1.30/1.46 (* end of lemma zenon_L832_ *) % 1.30/1.46 assert (zenon_L833_ : ((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c1_1 (a633)) -> (~(c3_1 (a633))) -> (~(c0_1 (a633))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H87 zenon_Hc0 zenon_H24f zenon_H174 zenon_H46 zenon_H155 zenon_H10b zenon_H10c zenon_H114 zenon_H1eb zenon_H14d zenon_H14c zenon_H14b zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_Ha zenon_H123 zenon_Hca zenon_Hcb zenon_Hcc zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.30/1.46 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.30/1.46 apply (zenon_L630_); trivial. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.30/1.46 apply (zenon_L812_); trivial. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.30/1.46 apply (zenon_L809_); trivial. % 1.30/1.46 apply (zenon_L31_); trivial. % 1.30/1.46 (* end of lemma zenon_L833_ *) % 1.30/1.46 assert (zenon_L834_ : ((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H154 zenon_H8a zenon_Hc0 zenon_H24f zenon_H174 zenon_H46 zenon_H155 zenon_H1eb zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_Ha zenon_H123 zenon_Hca zenon_Hcb zenon_Hcc zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3 zenon_H10b zenon_H10c zenon_H114 zenon_H276 zenon_H277 zenon_H278 zenon_H285. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_Hf. zenon_intro zenon_H156. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14d. zenon_intro zenon_H157. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.30/1.46 apply (zenon_L278_); trivial. % 1.30/1.46 apply (zenon_L833_); trivial. % 1.30/1.46 (* end of lemma zenon_L834_ *) % 1.30/1.46 assert (zenon_L835_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (ndr1_0) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H12c zenon_H8a zenon_H1eb zenon_Ha zenon_H123 zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_Hbf zenon_H66 zenon_H174 zenon_H46 zenon_H297 zenon_H298 zenon_H299 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_Hb1 zenon_Hf9 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H2be zenon_H184 zenon_H186 zenon_H185 zenon_Hf zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H102 zenon_H222 zenon_H42 zenon_H1c3 zenon_Hcc zenon_Hcb zenon_Hca zenon_H155 zenon_H24f zenon_Hc0 zenon_H159 zenon_H254. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.30/1.46 apply (zenon_L811_); trivial. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H146 | zenon_intro zenon_H154 ]. % 1.30/1.46 apply (zenon_L324_); trivial. % 1.30/1.46 apply (zenon_L834_); trivial. % 1.30/1.46 (* end of lemma zenon_L835_ *) % 1.30/1.46 assert (zenon_L836_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H194 zenon_H8e zenon_H1a zenon_H1c zenon_H28d zenon_H274 zenon_H30 zenon_H254 zenon_H159 zenon_Hc0 zenon_H24f zenon_H155 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1c3 zenon_H42 zenon_H222 zenon_H102 zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Hf9 zenon_Hb1 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H299 zenon_H298 zenon_H297 zenon_H46 zenon_H174 zenon_H66 zenon_Hbf zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H123 zenon_H1eb zenon_H8a zenon_H12c. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.30/1.46 apply (zenon_L835_); trivial. % 1.30/1.46 apply (zenon_L795_); trivial. % 1.30/1.46 (* end of lemma zenon_L836_ *) % 1.30/1.46 assert (zenon_L837_ : ((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a633))) -> (~(c3_1 (a633))) -> (c1_1 (a633)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (~(hskp16)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H67 zenon_Hc0 zenon_H62 zenon_H5f zenon_H14b zenon_H14c zenon_H14d zenon_H107 zenon_Hfb zenon_Hd8 zenon_Hd7 zenon_H155 zenon_Hca zenon_Hcb zenon_Hcc zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Hf. zenon_intro zenon_H68. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H39. zenon_intro zenon_H69. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H37. zenon_intro zenon_H38. % 1.30/1.46 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.30/1.46 apply (zenon_L630_); trivial. % 1.30/1.46 apply (zenon_L583_); trivial. % 1.30/1.46 (* end of lemma zenon_L837_ *) % 1.30/1.46 assert (zenon_L838_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (~(hskp16)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (c3_1 (a598)) -> (c0_1 (a598)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H8b zenon_H159 zenon_H6a zenon_Hc0 zenon_H62 zenon_H5f zenon_H107 zenon_Hfb zenon_Hd8 zenon_Hd7 zenon_H155 zenon_Hca zenon_Hcb zenon_Hcc zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3 zenon_H276 zenon_H277 zenon_H278 zenon_H54 zenon_H160 zenon_H15f zenon_H274 zenon_H297 zenon_H298 zenon_H299 zenon_H42 zenon_H222. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H146 | zenon_intro zenon_H154 ]. % 1.30/1.46 apply (zenon_L324_); trivial. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_Hf. zenon_intro zenon_H156. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14d. zenon_intro zenon_H157. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.30/1.46 apply (zenon_L316_); trivial. % 1.30/1.46 apply (zenon_L837_); trivial. % 1.30/1.46 (* end of lemma zenon_L838_ *) % 1.30/1.46 assert (zenon_L839_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (ndr1_0) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H12c zenon_H8a zenon_H1eb zenon_Ha zenon_H123 zenon_H285 zenon_H12f zenon_H130 zenon_H12e zenon_H90 zenon_H91 zenon_H92 zenon_H106 zenon_Hbf zenon_H66 zenon_H174 zenon_H46 zenon_H297 zenon_H298 zenon_H299 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_Hb1 zenon_Hf9 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H2be zenon_H184 zenon_H186 zenon_H185 zenon_Hf zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H102 zenon_H222 zenon_H42 zenon_H1c3 zenon_Hcc zenon_Hcb zenon_Hca zenon_H155 zenon_H24f zenon_Hc0 zenon_H159 zenon_H254. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.30/1.46 apply (zenon_L811_); trivial. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H146 | zenon_intro zenon_H154 ]. % 1.30/1.46 apply (zenon_L324_); trivial. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_Hf. zenon_intro zenon_H156. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14d. zenon_intro zenon_H157. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.30/1.46 apply (zenon_L589_); trivial. % 1.30/1.46 apply (zenon_L833_); trivial. % 1.30/1.46 (* end of lemma zenon_L839_ *) % 1.30/1.46 assert (zenon_L840_ : ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (ndr1_0) -> (c0_1 (a598)) -> (forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> False). % 1.30/1.46 do 0 intro. intros zenon_H274 zenon_H4d zenon_H4c zenon_H4b zenon_H278 zenon_H277 zenon_H276 zenon_Hf zenon_H15f zenon_H9d zenon_H15e zenon_H160. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H4a | zenon_intro zenon_H275 ]. % 1.30/1.46 apply (zenon_L20_); trivial. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H269 | zenon_intro zenon_H18f ]. % 1.30/1.46 apply (zenon_L265_); trivial. % 1.30/1.46 apply (zenon_L254_); trivial. % 1.30/1.46 (* end of lemma zenon_L840_ *) % 1.30/1.46 assert (zenon_L841_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp23)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(c2_1 (a606))) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (ndr1_0) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> False). % 1.30/1.46 do 0 intro. intros zenon_H106 zenon_H2e zenon_H54 zenon_H12e zenon_H130 zenon_H12f zenon_H92 zenon_H91 zenon_H90 zenon_H274 zenon_H4d zenon_H4c zenon_H4b zenon_H278 zenon_H277 zenon_H276 zenon_Hf zenon_H15f zenon_H15e zenon_H160. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H108 ]. % 1.30/1.46 apply (zenon_L434_); trivial. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H8f | zenon_intro zenon_H9d ]. % 1.30/1.46 apply (zenon_L39_); trivial. % 1.30/1.46 apply (zenon_L840_); trivial. % 1.30/1.46 (* end of lemma zenon_L841_ *) % 1.30/1.46 assert (zenon_L842_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (c0_1 (a598)) -> (c3_1 (a598)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (~(c1_1 (a598))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H8b zenon_H12c zenon_H6a zenon_H8a zenon_Hc0 zenon_H24f zenon_H5f zenon_H62 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1c3 zenon_H285 zenon_H297 zenon_H298 zenon_H299 zenon_H15f zenon_H160 zenon_H54 zenon_H12f zenon_H130 zenon_H12e zenon_H90 zenon_H91 zenon_H92 zenon_H15e zenon_H106 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.30/1.46 apply (zenon_L693_); trivial. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.30/1.46 apply (zenon_L841_); trivial. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Hf. zenon_intro zenon_H68. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H39. zenon_intro zenon_H69. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H37. zenon_intro zenon_H38. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.30/1.46 apply (zenon_L589_); trivial. % 1.30/1.46 apply (zenon_L697_); trivial. % 1.30/1.46 (* end of lemma zenon_L842_ *) % 1.30/1.46 assert (zenon_L843_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H194 zenon_H1e1 zenon_H13b zenon_H28d zenon_H30 zenon_H106 zenon_H1eb zenon_H123 zenon_Hbf zenon_H66 zenon_H174 zenon_H46 zenon_H297 zenon_H298 zenon_H299 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_Hb1 zenon_Hf9 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H2be zenon_H222 zenon_H42 zenon_H1c3 zenon_Hcc zenon_Hcb zenon_Hca zenon_H155 zenon_H24f zenon_Hc0 zenon_H159 zenon_H254 zenon_H274 zenon_H54 zenon_H107 zenon_H5f zenon_H62 zenon_H6a zenon_H8e zenon_H102 zenon_H15e zenon_H15f zenon_H160 zenon_H185 zenon_H186 zenon_H184 zenon_H85 zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H8a zenon_H12c. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.30/1.46 apply (zenon_L488_); trivial. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.30/1.46 apply (zenon_L835_); trivial. % 1.30/1.46 apply (zenon_L838_); trivial. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.30/1.46 apply (zenon_L839_); trivial. % 1.30/1.46 apply (zenon_L842_); trivial. % 1.30/1.46 (* end of lemma zenon_L843_ *) % 1.30/1.46 assert (zenon_L844_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H194 zenon_H12c zenon_H159 zenon_H8a zenon_H229 zenon_H155 zenon_H1eb zenon_H178 zenon_H177 zenon_H176 zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H42 zenon_H222 zenon_Hbf zenon_H66 zenon_H174 zenon_H46 zenon_H297 zenon_H298 zenon_H299 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_Hb1 zenon_Hf9 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H2be zenon_H184 zenon_H186 zenon_H185 zenon_H102 zenon_H1c3 zenon_Hcc zenon_Hcb zenon_Hca zenon_H1c zenon_H1a zenon_H24f zenon_Hc0 zenon_H254. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.30/1.46 apply (zenon_L817_); trivial. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H146 | zenon_intro zenon_H154 ]. % 1.30/1.46 apply (zenon_L324_); trivial. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_Hf. zenon_intro zenon_H156. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14d. zenon_intro zenon_H157. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.30/1.46 apply (zenon_L278_); trivial. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.30/1.46 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.30/1.46 apply (zenon_L630_); trivial. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.30/1.46 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H22a ]. % 1.30/1.46 apply (zenon_L116_); trivial. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H10a | zenon_intro zenon_He0 ]. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.30/1.46 apply (zenon_L818_); trivial. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.30/1.46 apply (zenon_L306_); trivial. % 1.30/1.46 apply (zenon_L31_); trivial. % 1.30/1.46 apply (zenon_L209_); trivial. % 1.30/1.46 (* end of lemma zenon_L844_ *) % 1.30/1.46 assert (zenon_L845_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (ndr1_0) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H12c zenon_H8a zenon_H1eb zenon_Hcc zenon_Hcb zenon_Hca zenon_Ha zenon_H123 zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_Hbf zenon_H66 zenon_H174 zenon_H46 zenon_H297 zenon_H298 zenon_H299 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_Hb1 zenon_Hf9 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H2be zenon_H184 zenon_H186 zenon_H185 zenon_Hf zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H102 zenon_H22b zenon_H22c zenon_H237 zenon_H24f zenon_H254. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H23e | zenon_intro zenon_H251 ]. % 1.30/1.46 apply (zenon_L808_); trivial. % 1.30/1.46 apply (zenon_L543_); trivial. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.30/1.46 apply (zenon_L278_); trivial. % 1.30/1.46 apply (zenon_L819_); trivial. % 1.30/1.46 (* end of lemma zenon_L845_ *) % 1.30/1.46 assert (zenon_L846_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c1_1 (a603))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> (ndr1_0) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> False). % 1.30/1.46 do 0 intro. intros zenon_H13b zenon_H8e zenon_H30 zenon_H104 zenon_H274 zenon_H83 zenon_H1e7 zenon_H254 zenon_H24f zenon_H102 zenon_He4 zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H46 zenon_H174 zenon_H66 zenon_Hbf zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H123 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1eb zenon_H8a zenon_H12c zenon_Hf zenon_H22b zenon_H22c zenon_H237 zenon_Hf9 zenon_Hb1 zenon_Hd8 zenon_Hd7 zenon_H299 zenon_H298 zenon_H297 zenon_H107. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.30/1.46 apply (zenon_L365_); trivial. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.30/1.46 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.30/1.46 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.47 apply (zenon_L845_); trivial. % 1.33/1.47 apply (zenon_L783_); trivial. % 1.33/1.47 (* end of lemma zenon_L846_ *) % 1.33/1.47 assert (zenon_L847_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H194 zenon_H12c zenon_H8a zenon_Hc0 zenon_H1a zenon_H1c zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3 zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H104 zenon_Hcc zenon_Hcb zenon_Hca zenon_H237 zenon_H22c zenon_H22b zenon_H178 zenon_H177 zenon_H176 zenon_H102 zenon_H184 zenon_H186 zenon_H185 zenon_H24f. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.47 apply (zenon_L678_); trivial. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.33/1.47 apply (zenon_L278_); trivial. % 1.33/1.47 apply (zenon_L665_); trivial. % 1.33/1.47 (* end of lemma zenon_L847_ *) % 1.33/1.47 assert (zenon_L848_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> (ndr1_0) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/((hskp0)\/(hskp11))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H19b zenon_H198 zenon_H12c zenon_H8a zenon_Hc0 zenon_H1a zenon_H1c zenon_H1c3 zenon_H285 zenon_H104 zenon_H237 zenon_H22c zenon_H22b zenon_H102 zenon_H24f zenon_H30 zenon_H192 zenon_H186 zenon_H185 zenon_H184 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1e7 zenon_H176 zenon_H177 zenon_H178 zenon_Hb1 zenon_Hc1 zenon_H1e1 zenon_Hf zenon_H276 zenon_H277 zenon_H278 zenon_H27f zenon_H281. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.33/1.47 apply (zenon_L267_); trivial. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.33/1.47 apply (zenon_L675_); trivial. % 1.33/1.47 apply (zenon_L847_); trivial. % 1.33/1.47 (* end of lemma zenon_L848_ *) % 1.33/1.47 assert (zenon_L849_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H127 zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H176 zenon_H177 zenon_H178 zenon_H90 zenon_H91 zenon_H92 zenon_H297 zenon_H298 zenon_H299 zenon_H106 zenon_H276 zenon_H277 zenon_H278 zenon_H285. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.33/1.47 apply (zenon_L278_); trivial. % 1.33/1.47 apply (zenon_L825_); trivial. % 1.33/1.47 (* end of lemma zenon_L849_ *) % 1.33/1.47 assert (zenon_L850_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp14)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H1e1 zenon_H12c zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H176 zenon_H177 zenon_H178 zenon_H297 zenon_H298 zenon_H299 zenon_H106 zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H28d zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hf zenon_H184 zenon_H185 zenon_H186 zenon_Hd3 zenon_H192 zenon_H30. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.33/1.47 apply (zenon_L652_); trivial. % 1.33/1.47 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.33/1.47 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.33/1.47 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.47 apply (zenon_L763_); trivial. % 1.33/1.47 apply (zenon_L849_); trivial. % 1.33/1.47 (* end of lemma zenon_L850_ *) % 1.33/1.47 assert (zenon_L851_ : ((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp11)) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (~(hskp18)) -> False). % 1.33/1.47 do 0 intro. intros zenon_H32 zenon_H24f zenon_H3 zenon_H176 zenon_H177 zenon_H178 zenon_H2ab zenon_H237 zenon_H22c zenon_H22b zenon_H102 zenon_H184 zenon_H186 zenon_H185 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H100. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hf. zenon_intro zenon_H33. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H1f. zenon_intro zenon_H34. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.33/1.47 apply (zenon_L733_); trivial. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.33/1.47 apply (zenon_L226_); trivial. % 1.33/1.47 apply (zenon_L498_); trivial. % 1.33/1.47 (* end of lemma zenon_L851_ *) % 1.33/1.47 assert (zenon_L852_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> (~(hskp18)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (ndr1_0) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H30 zenon_H24f zenon_H185 zenon_H186 zenon_H184 zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H100 zenon_H102 zenon_H237 zenon_H22c zenon_H22b zenon_H176 zenon_H177 zenon_H178 zenon_H3 zenon_H2ab zenon_Hf zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H83 zenon_H1e7. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.33/1.47 apply (zenon_L635_); trivial. % 1.33/1.47 apply (zenon_L851_); trivial. % 1.33/1.47 (* end of lemma zenon_L852_ *) % 1.33/1.47 assert (zenon_L853_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_Hc6 zenon_H12c zenon_H8a zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H106 zenon_H299 zenon_H298 zenon_H297 zenon_H178 zenon_H177 zenon_H176 zenon_H22b zenon_H22c zenon_H237 zenon_H102 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H184 zenon_H186 zenon_H185 zenon_H24f. % 1.33/1.47 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.33/1.47 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.33/1.47 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.47 apply (zenon_L828_); trivial. % 1.33/1.47 apply (zenon_L849_); trivial. % 1.33/1.47 (* end of lemma zenon_L853_ *) % 1.33/1.47 assert (zenon_L854_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H194 zenon_H1e1 zenon_H106 zenon_H299 zenon_H298 zenon_H297 zenon_H30 zenon_H24f zenon_H185 zenon_H186 zenon_H184 zenon_H102 zenon_H237 zenon_H22c zenon_H22b zenon_H176 zenon_H177 zenon_H178 zenon_H3 zenon_H2ab zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1e7 zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H15e zenon_H15f zenon_H160 zenon_H85 zenon_H8a zenon_H12c. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.47 apply (zenon_L852_); trivial. % 1.33/1.47 apply (zenon_L284_); trivial. % 1.33/1.47 apply (zenon_L853_); trivial. % 1.33/1.47 (* end of lemma zenon_L854_ *) % 1.33/1.47 assert (zenon_L855_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (ndr1_0) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H198 zenon_H102 zenon_H3 zenon_H2ab zenon_H15e zenon_H15f zenon_H160 zenon_H85 zenon_H30 zenon_H192 zenon_H186 zenon_H185 zenon_H184 zenon_Hf zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1e7 zenon_H28d zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H106 zenon_H299 zenon_H298 zenon_H297 zenon_H178 zenon_H177 zenon_H176 zenon_H22b zenon_H22c zenon_H237 zenon_H24f zenon_H8a zenon_H12c zenon_H1e1. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.33/1.47 apply (zenon_L850_); trivial. % 1.33/1.47 apply (zenon_L854_); trivial. % 1.33/1.47 (* end of lemma zenon_L855_ *) % 1.33/1.47 assert (zenon_L856_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (ndr1_0) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H12c zenon_H8a zenon_H85 zenon_H83 zenon_H160 zenon_H15f zenon_H15e zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H104 zenon_Hcc zenon_Hcb zenon_Hca zenon_H237 zenon_H22c zenon_H22b zenon_H178 zenon_H177 zenon_H176 zenon_Hf zenon_H102 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H184 zenon_H186 zenon_H185 zenon_H24f. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.47 apply (zenon_L678_); trivial. % 1.33/1.47 apply (zenon_L284_); trivial. % 1.33/1.47 (* end of lemma zenon_L856_ *) % 1.33/1.47 assert (zenon_L857_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H197 zenon_H198 zenon_H13b zenon_H106 zenon_H299 zenon_H298 zenon_H297 zenon_H203 zenon_H107 zenon_H155 zenon_H24f zenon_H102 zenon_H22b zenon_H22c zenon_H237 zenon_H104 zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H15e zenon_H15f zenon_H160 zenon_H85 zenon_H8a zenon_H12c zenon_H30 zenon_H192 zenon_H186 zenon_H185 zenon_H184 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1e7 zenon_H176 zenon_H177 zenon_H178 zenon_Hb1 zenon_Hc1 zenon_H1e1. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.33/1.47 apply (zenon_L675_); trivial. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.33/1.47 apply (zenon_L856_); trivial. % 1.33/1.47 apply (zenon_L830_); trivial. % 1.33/1.47 (* end of lemma zenon_L857_ *) % 1.33/1.47 assert (zenon_L858_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> ((hskp26)\/(hskp11)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H19b zenon_H1bf zenon_Hf9 zenon_Hb1 zenon_H299 zenon_H298 zenon_H297 zenon_H48 zenon_H40 zenon_H5 zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H22c zenon_H237 zenon_H1a zenon_H1c zenon_Hc0 zenon_H66. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.33/1.47 apply (zenon_L656_); trivial. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.33/1.47 apply (zenon_L632_); trivial. % 1.33/1.47 apply (zenon_L322_); trivial. % 1.33/1.47 (* end of lemma zenon_L858_ *) % 1.33/1.47 assert (zenon_L859_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((hskp26)\/(hskp11)) -> (~(hskp8)) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H209 zenon_H12c zenon_H8a zenon_H85 zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H1b5 zenon_H174 zenon_Hc1 zenon_H1e1 zenon_H66 zenon_Hc0 zenon_H1c zenon_H237 zenon_H22c zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3 zenon_H5 zenon_H40 zenon_H48 zenon_H297 zenon_H298 zenon_H299 zenon_Hb1 zenon_Hf9 zenon_H1bf zenon_H19b. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.33/1.47 apply (zenon_L858_); trivial. % 1.33/1.47 apply (zenon_L380_); trivial. % 1.33/1.47 (* end of lemma zenon_L859_ *) % 1.33/1.47 assert (zenon_L860_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H8b zenon_H12c zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_Hca zenon_Hcb zenon_Hcc zenon_H285 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.47 apply (zenon_L693_); trivial. % 1.33/1.47 apply (zenon_L558_); trivial. % 1.33/1.47 (* end of lemma zenon_L860_ *) % 1.33/1.47 assert (zenon_L861_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c1_1 (a603))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a586)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_Hc6 zenon_H13b zenon_H8e zenon_H28d zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30 zenon_H254 zenon_H24f zenon_H102 zenon_He4 zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H174 zenon_H46 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_Hb1 zenon_Hc1 zenon_H66 zenon_Hbf zenon_H104 zenon_H285 zenon_H123 zenon_H1eb zenon_H2c9 zenon_H8a zenon_H12c zenon_H203 zenon_H2ca zenon_H2c8 zenon_Hca zenon_Hcb zenon_Hcc zenon_H107 zenon_Hd8 zenon_Hd7 zenon_H237 zenon_H22c zenon_H22b zenon_H155. % 1.33/1.47 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.33/1.47 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.33/1.47 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.33/1.47 apply (zenon_L658_); trivial. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.47 apply (zenon_L785_); trivial. % 1.33/1.47 apply (zenon_L860_); trivial. % 1.33/1.47 (* end of lemma zenon_L861_ *) % 1.33/1.47 assert (zenon_L862_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a586)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H194 zenon_H1e1 zenon_H13b zenon_H8e zenon_H28d zenon_H274 zenon_H30 zenon_H254 zenon_H24f zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H174 zenon_H46 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_Hb1 zenon_Hc1 zenon_H66 zenon_Hbf zenon_H104 zenon_H123 zenon_H1eb zenon_H2c9 zenon_H203 zenon_H2ca zenon_H2c8 zenon_Hca zenon_Hcb zenon_Hcc zenon_H107 zenon_H237 zenon_H22c zenon_H22b zenon_H155 zenon_H102 zenon_H15e zenon_H15f zenon_H160 zenon_H185 zenon_H186 zenon_H184 zenon_H85 zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H8a zenon_H12c. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.33/1.47 apply (zenon_L488_); trivial. % 1.33/1.47 apply (zenon_L861_); trivial. % 1.33/1.47 (* end of lemma zenon_L862_ *) % 1.33/1.47 assert (zenon_L863_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> (ndr1_0) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H198 zenon_H1e1 zenon_H106 zenon_H30 zenon_H24f zenon_H185 zenon_H186 zenon_H184 zenon_H102 zenon_H237 zenon_H22c zenon_H22b zenon_H176 zenon_H177 zenon_H178 zenon_H3 zenon_H2ab zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1e7 zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H15e zenon_H15f zenon_H160 zenon_H85 zenon_H8a zenon_H12c zenon_Hf zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H297 zenon_H298 zenon_H299 zenon_H2ad. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.33/1.47 apply (zenon_L349_); trivial. % 1.33/1.47 apply (zenon_L854_); trivial. % 1.33/1.47 (* end of lemma zenon_L863_ *) % 1.33/1.47 assert (zenon_L864_ : (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10)))))) -> (ndr1_0) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> False). % 1.33/1.47 do 0 intro. intros zenon_H167 zenon_Hf zenon_H2e9 zenon_H2ea zenon_H2eb. % 1.33/1.47 generalize (zenon_H167 (a585)). zenon_intro zenon_H2ec. % 1.33/1.47 apply (zenon_imply_s _ _ zenon_H2ec); [ zenon_intro zenon_He | zenon_intro zenon_H2ed ]. % 1.33/1.47 exact (zenon_He zenon_Hf). % 1.33/1.47 apply (zenon_or_s _ _ zenon_H2ed); [ zenon_intro zenon_H2ef | zenon_intro zenon_H2ee ]. % 1.33/1.47 exact (zenon_H2e9 zenon_H2ef). % 1.33/1.47 apply (zenon_or_s _ _ zenon_H2ee); [ zenon_intro zenon_H2f1 | zenon_intro zenon_H2f0 ]. % 1.33/1.47 exact (zenon_H2f1 zenon_H2ea). % 1.33/1.47 exact (zenon_H2f0 zenon_H2eb). % 1.33/1.47 (* end of lemma zenon_L864_ *) % 1.33/1.47 assert (zenon_L865_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (ndr1_0) -> (~(hskp19)) -> (~(hskp13)) -> False). % 1.33/1.47 do 0 intro. intros zenon_H242 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_Hf zenon_H23e zenon_H240. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H167 | zenon_intro zenon_H243 ]. % 1.33/1.47 apply (zenon_L864_); trivial. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H23f | zenon_intro zenon_H241 ]. % 1.33/1.47 exact (zenon_H23e zenon_H23f). % 1.33/1.47 exact (zenon_H240 zenon_H241). % 1.33/1.47 (* end of lemma zenon_L865_ *) % 1.33/1.47 assert (zenon_L866_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> (ndr1_0) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp13)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H254 zenon_H128 zenon_H42 zenon_H125 zenon_Hf zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H240 zenon_H242. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H23e | zenon_intro zenon_H251 ]. % 1.33/1.47 apply (zenon_L865_); trivial. % 1.33/1.47 apply (zenon_L410_); trivial. % 1.33/1.47 (* end of lemma zenon_L866_ *) % 1.33/1.47 assert (zenon_L867_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c1_1 (a601))) -> (~(c2_1 (a601))) -> (~(c0_1 (a601))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16))))) -> (ndr1_0) -> (c0_1 (a678)) -> (c2_1 (a678)) -> (c3_1 (a678)) -> False). % 1.33/1.47 do 0 intro. intros zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H259 zenon_H258 zenon_H257 zenon_Hf5 zenon_Hf zenon_H1f zenon_H1d zenon_H1e. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1ec ]. % 1.33/1.47 apply (zenon_L864_); trivial. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H18f ]. % 1.33/1.47 apply (zenon_L233_); trivial. % 1.33/1.47 apply (zenon_L173_); trivial. % 1.33/1.47 (* end of lemma zenon_L867_ *) % 1.33/1.47 assert (zenon_L868_ : ((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (~(c0_1 (a601))) -> (~(c2_1 (a601))) -> (~(c1_1 (a601))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp11)) -> False). % 1.33/1.47 do 0 intro. intros zenon_H32 zenon_H2ab zenon_H257 zenon_H258 zenon_H259 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H3. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hf. zenon_intro zenon_H33. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H1f. zenon_intro zenon_H34. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H2ac ]. % 1.33/1.47 apply (zenon_L867_); trivial. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H18f | zenon_intro zenon_H4 ]. % 1.33/1.47 apply (zenon_L173_); trivial. % 1.33/1.47 exact (zenon_H3 zenon_H4). % 1.33/1.47 (* end of lemma zenon_L868_ *) % 1.33/1.47 assert (zenon_L869_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp8)\/(hskp6))) -> (~(hskp6)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp8)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H8b zenon_H6a zenon_H44 zenon_H42 zenon_H54 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H40 zenon_H255. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H36 | zenon_intro zenon_H256 ]. % 1.33/1.47 apply (zenon_L21_); trivial. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H167 | zenon_intro zenon_H41 ]. % 1.33/1.47 apply (zenon_L864_); trivial. % 1.33/1.47 exact (zenon_H40 zenon_H41). % 1.33/1.47 apply (zenon_L36_); trivial. % 1.33/1.47 (* end of lemma zenon_L869_ *) % 1.33/1.47 assert (zenon_L870_ : ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp8)\/(hskp6))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp8)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> ((hskp29)\/((hskp7)\/(hskp17))) -> (~(hskp7)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (ndr1_0) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H2f2 zenon_H8e zenon_H6a zenon_H44 zenon_H54 zenon_H40 zenon_H255 zenon_Hc zenon_H8 zenon_H1eb zenon_H3 zenon_H2ab zenon_H30 zenon_H242 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_Hf zenon_H125 zenon_H42 zenon_H128 zenon_H254. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.33/1.47 apply (zenon_L866_); trivial. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.33/1.47 apply (zenon_L7_); trivial. % 1.33/1.47 apply (zenon_L868_); trivial. % 1.33/1.47 apply (zenon_L869_); trivial. % 1.33/1.47 (* end of lemma zenon_L870_ *) % 1.33/1.47 assert (zenon_L871_ : ((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(hskp12)) -> False). % 1.33/1.47 do 0 intro. intros zenon_H61 zenon_H174 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H46. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_Hf. zenon_intro zenon_H63. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H11. zenon_intro zenon_H64. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H167 | zenon_intro zenon_H175 ]. % 1.33/1.47 apply (zenon_L864_); trivial. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H10 | zenon_intro zenon_H47 ]. % 1.33/1.47 apply (zenon_L9_); trivial. % 1.33/1.47 exact (zenon_H46 zenon_H47). % 1.33/1.47 (* end of lemma zenon_L871_ *) % 1.33/1.47 assert (zenon_L872_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(hskp12)) -> (~(hskp8)) -> ((hskp26)\/((hskp12)\/(hskp8))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H66 zenon_H174 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H46 zenon_H40 zenon_H48. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.33/1.47 apply (zenon_L19_); trivial. % 1.33/1.47 apply (zenon_L871_); trivial. % 1.33/1.47 (* end of lemma zenon_L872_ *) % 1.33/1.47 assert (zenon_L873_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> (ndr1_0) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp13)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H254 zenon_H144 zenon_H8 zenon_H142 zenon_Hf zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H240 zenon_H242. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H23e | zenon_intro zenon_H251 ]. % 1.33/1.47 apply (zenon_L865_); trivial. % 1.33/1.47 apply (zenon_L454_); trivial. % 1.33/1.47 (* end of lemma zenon_L873_ *) % 1.33/1.47 assert (zenon_L874_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp8)\/(hskp6))) -> (~(hskp6)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> ((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (ndr1_0) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> (~(hskp7)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp7)\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((hskp29)\/((hskp22)\/(hskp17))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (c3_1 (a599)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H8e zenon_H6a zenon_H44 zenon_H42 zenon_H54 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H255 zenon_He9 zenon_H40 zenon_H6e zenon_H6d zenon_H6c zenon_Hf zenon_Hd7 zenon_Hd8 zenon_H8 zenon_H13c zenon_H66 zenon_H8a zenon_H30 zenon_H85 zenon_H83 zenon_H1a zenon_H1c zenon_H148 zenon_H77 zenon_H140 zenon_Hcb zenon_Hca zenon_H142 zenon_H144 zenon_Hcc zenon_H155 zenon_H159 zenon_Hbf. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.47 apply (zenon_L99_); trivial. % 1.33/1.47 apply (zenon_L869_); trivial. % 1.33/1.47 (* end of lemma zenon_L874_ *) % 1.33/1.47 assert (zenon_L875_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c1_1 (a601))) -> (~(c2_1 (a601))) -> (~(c0_1 (a601))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16))))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> False). % 1.33/1.47 do 0 intro. intros zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H259 zenon_H258 zenon_H257 zenon_Hf5 zenon_Hf zenon_H119 zenon_Hca zenon_Hcb zenon_Hcc. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1ec ]. % 1.33/1.47 apply (zenon_L864_); trivial. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H18f ]. % 1.33/1.47 apply (zenon_L233_); trivial. % 1.33/1.47 apply (zenon_L123_); trivial. % 1.33/1.47 (* end of lemma zenon_L875_ *) % 1.33/1.47 assert (zenon_L876_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c0_1 (a601))) -> (~(c2_1 (a601))) -> (~(c1_1 (a601))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp18)) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> (~(c0_1 (a604))) -> (c3_1 (a604)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> False). % 1.33/1.47 do 0 intro. intros zenon_H104 zenon_H119 zenon_H257 zenon_H258 zenon_H259 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H100 zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H90 zenon_H92 zenon_H102 zenon_Hf zenon_Hca zenon_Hcb zenon_Hcc. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H105 ]. % 1.33/1.47 apply (zenon_L875_); trivial. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hec | zenon_intro zenon_Hc9 ]. % 1.33/1.47 apply (zenon_L70_); trivial. % 1.33/1.47 apply (zenon_L51_); trivial. % 1.33/1.47 (* end of lemma zenon_L876_ *) % 1.33/1.47 assert (zenon_L877_ : ((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c1_1 (a601))) -> (~(c2_1 (a601))) -> (~(c0_1 (a601))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp18)) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> (~(c0_1 (a604))) -> (c3_1 (a604)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H87 zenon_H24f zenon_Hcc zenon_Hcb zenon_Hca zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H259 zenon_H258 zenon_H257 zenon_H104 zenon_H100 zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H90 zenon_H92 zenon_H102. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.33/1.47 apply (zenon_L876_); trivial. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.33/1.47 apply (zenon_L70_); trivial. % 1.33/1.47 apply (zenon_L31_); trivial. % 1.33/1.47 (* end of lemma zenon_L877_ *) % 1.33/1.47 assert (zenon_L878_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c1_1 (a601))) -> (~(c2_1 (a601))) -> (~(c0_1 (a601))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (c3_1 (a604)) -> (~(c0_1 (a604))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (ndr1_0) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> (~(hskp8)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H8a zenon_H24f zenon_H1eb zenon_Hcc zenon_Hcb zenon_Hca zenon_H259 zenon_H258 zenon_H257 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H102 zenon_H100 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H92 zenon_H90 zenon_H104 zenon_Hf zenon_H6c zenon_H6d zenon_H6e zenon_H40 zenon_H77. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.33/1.47 apply (zenon_L30_); trivial. % 1.33/1.47 apply (zenon_L877_); trivial. % 1.33/1.47 (* end of lemma zenon_L878_ *) % 1.33/1.47 assert (zenon_L879_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> False). % 1.33/1.47 do 0 intro. intros zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H114 zenon_H10c zenon_H10b zenon_H10a zenon_Hf zenon_H119 zenon_Hca zenon_Hcb zenon_Hcc. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1ec ]. % 1.33/1.47 apply (zenon_L864_); trivial. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H18f ]. % 1.33/1.47 apply (zenon_L246_); trivial. % 1.33/1.47 apply (zenon_L123_); trivial. % 1.33/1.47 (* end of lemma zenon_L879_ *) % 1.33/1.47 assert (zenon_L880_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c3_1 (a599)) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a599)) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c1_1 (a599))) -> (ndr1_0) -> (~(hskp17)) -> False). % 1.33/1.47 do 0 intro. intros zenon_H123 zenon_Hcc zenon_H10b zenon_H10c zenon_H114 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_Hcb zenon_H119 zenon_Hca zenon_Hf zenon_Ha. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10a | zenon_intro zenon_H124 ]. % 1.33/1.47 apply (zenon_L879_); trivial. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H11f | zenon_intro zenon_Hb ]. % 1.33/1.47 apply (zenon_L78_); trivial. % 1.33/1.47 exact (zenon_Ha zenon_Hb). % 1.33/1.47 (* end of lemma zenon_L880_ *) % 1.33/1.47 assert (zenon_L881_ : ((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp17)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (c3_1 (a599)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (c0_1 (a611)) -> (c1_1 (a611)) -> (c3_1 (a611)) -> False). % 1.33/1.47 do 0 intro. intros zenon_Hbc zenon_H24f zenon_Ha zenon_Hca zenon_Hcb zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H114 zenon_H10c zenon_H10b zenon_Hcc zenon_H123 zenon_H1a zenon_H1c zenon_H7a zenon_H7b zenon_H7c. % 1.33/1.47 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.33/1.47 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.33/1.47 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.33/1.47 apply (zenon_L880_); trivial. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.33/1.47 apply (zenon_L306_); trivial. % 1.33/1.47 apply (zenon_L31_); trivial. % 1.33/1.47 (* end of lemma zenon_L881_ *) % 1.33/1.47 assert (zenon_L882_ : ((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H87 zenon_Hc0 zenon_H24f zenon_H1a zenon_H1c zenon_H1eb zenon_Hcc zenon_Hcb zenon_Hca zenon_H2eb zenon_H2ea zenon_H2e9 zenon_Ha zenon_H123 zenon_H10b zenon_H10c zenon_H114 zenon_H6c zenon_H6d zenon_H6e zenon_H1ba. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.33/1.47 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.33/1.47 apply (zenon_L137_); trivial. % 1.33/1.47 apply (zenon_L881_); trivial. % 1.33/1.47 (* end of lemma zenon_L882_ *) % 1.33/1.47 assert (zenon_L883_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> (~(hskp8)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H127 zenon_H8a zenon_Hc0 zenon_H24f zenon_H1a zenon_H1c zenon_H1eb zenon_Hcc zenon_Hcb zenon_Hca zenon_H2eb zenon_H2ea zenon_H2e9 zenon_Ha zenon_H123 zenon_H1ba zenon_H6c zenon_H6d zenon_H6e zenon_H40 zenon_H77. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.33/1.47 apply (zenon_L30_); trivial. % 1.33/1.47 apply (zenon_L882_); trivial. % 1.33/1.47 (* end of lemma zenon_L883_ *) % 1.33/1.47 assert (zenon_L884_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (ndr1_0) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a604))) -> (c3_1 (a604)) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(c0_1 (a601))) -> (~(c2_1 (a601))) -> (~(c1_1 (a601))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H12c zenon_Hc0 zenon_H1a zenon_H1c zenon_Ha zenon_H123 zenon_H1ba zenon_H77 zenon_H40 zenon_H6e zenon_H6d zenon_H6c zenon_Hf zenon_H104 zenon_H90 zenon_H92 zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H102 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H257 zenon_H258 zenon_H259 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1eb zenon_H24f zenon_H8a. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.47 apply (zenon_L878_); trivial. % 1.33/1.47 apply (zenon_L883_); trivial. % 1.33/1.47 (* end of lemma zenon_L884_ *) % 1.33/1.47 assert (zenon_L885_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (ndr1_0) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> False). % 1.33/1.47 do 0 intro. intros zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H4d zenon_H4c zenon_H4b zenon_Hf zenon_H119 zenon_Hca zenon_Hcb zenon_Hcc. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1ec ]. % 1.33/1.47 apply (zenon_L864_); trivial. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H18f ]. % 1.33/1.47 apply (zenon_L20_); trivial. % 1.33/1.47 apply (zenon_L123_); trivial. % 1.33/1.47 (* end of lemma zenon_L885_ *) % 1.33/1.47 assert (zenon_L886_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp2)) -> (~(hskp7)) -> False). % 1.33/1.47 do 0 intro. intros zenon_H8b zenon_H144 zenon_Hcc zenon_Hcb zenon_Hca zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H142 zenon_H8. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H119 | zenon_intro zenon_H145 ]. % 1.33/1.47 apply (zenon_L885_); trivial. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H143 | zenon_intro zenon_H9 ]. % 1.33/1.47 exact (zenon_H142 zenon_H143). % 1.33/1.47 exact (zenon_H8 zenon_H9). % 1.33/1.47 (* end of lemma zenon_L886_ *) % 1.33/1.47 assert (zenon_L887_ : ((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(hskp8)) -> False). % 1.33/1.47 do 0 intro. intros zenon_H67 zenon_H255 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H40. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Hf. zenon_intro zenon_H68. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H39. zenon_intro zenon_H69. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H37. zenon_intro zenon_H38. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H36 | zenon_intro zenon_H256 ]. % 1.33/1.47 apply (zenon_L14_); trivial. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H167 | zenon_intro zenon_H41 ]. % 1.33/1.47 apply (zenon_L864_); trivial. % 1.33/1.47 exact (zenon_H40 zenon_H41). % 1.33/1.47 (* end of lemma zenon_L887_ *) % 1.33/1.47 assert (zenon_L888_ : ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (ndr1_0) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> (~(hskp11)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H6a zenon_H255 zenon_H40 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_Hf zenon_H15e zenon_H15f zenon_H160 zenon_H3 zenon_H31. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.33/1.47 apply (zenon_L104_); trivial. % 1.33/1.47 apply (zenon_L887_); trivial. % 1.33/1.47 (* end of lemma zenon_L888_ *) % 1.33/1.47 assert (zenon_L889_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(hskp17)) -> (~(hskp3)) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (ndr1_0) -> (~(hskp22)) -> (~(hskp6)) -> False). % 1.33/1.47 do 0 intro. intros zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_Ha zenon_H15a zenon_H10c zenon_H114 zenon_H18d zenon_H222 zenon_H160 zenon_H15e zenon_H15f zenon_Hf zenon_H146 zenon_H42. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1ec ]. % 1.33/1.47 apply (zenon_L864_); trivial. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H18f ]. % 1.33/1.47 apply (zenon_L638_); trivial. % 1.33/1.47 apply (zenon_L740_); trivial. % 1.33/1.47 (* end of lemma zenon_L889_ *) % 1.33/1.47 assert (zenon_L890_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> (~(hskp17)) -> (~(hskp3)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H127 zenon_H159 zenon_H155 zenon_H6e zenon_H6d zenon_H6c zenon_Hcc zenon_Hcb zenon_Hca zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H18d zenon_Ha zenon_H15a zenon_H222 zenon_H42 zenon_H160 zenon_H15e zenon_H15f zenon_H1eb. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H146 | zenon_intro zenon_H154 ]. % 1.33/1.47 apply (zenon_L889_); trivial. % 1.33/1.47 apply (zenon_L97_); trivial. % 1.33/1.47 (* end of lemma zenon_L890_ *) % 1.33/1.47 assert (zenon_L891_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H8b zenon_H159 zenon_H155 zenon_H6e zenon_H6d zenon_H6c zenon_Hcc zenon_Hcb zenon_Hca zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H222 zenon_H42 zenon_H160 zenon_H15e zenon_H15f zenon_H1eb. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H146 | zenon_intro zenon_H154 ]. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1ec ]. % 1.33/1.47 apply (zenon_L864_); trivial. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H18f ]. % 1.33/1.47 apply (zenon_L20_); trivial. % 1.33/1.47 apply (zenon_L740_); trivial. % 1.33/1.47 apply (zenon_L97_); trivial. % 1.33/1.47 (* end of lemma zenon_L891_ *) % 1.33/1.47 assert (zenon_L892_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> (~(hskp6)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp8)\/(hskp6))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp8)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H1bf zenon_H2f2 zenon_H198 zenon_H1e1 zenon_H8e zenon_H24f zenon_H1eb zenon_H102 zenon_H104 zenon_H222 zenon_H15a zenon_H18d zenon_H155 zenon_H159 zenon_H12c zenon_H77 zenon_H85 zenon_H8a zenon_Hd5 zenon_H42 zenon_H44 zenon_H242 zenon_H142 zenon_H8 zenon_H144 zenon_H254 zenon_H48 zenon_H174 zenon_H66 zenon_H31 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H40 zenon_H255 zenon_H6a. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.33/1.47 apply (zenon_L888_); trivial. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.33/1.47 apply (zenon_L872_); trivial. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.33/1.47 apply (zenon_L873_); trivial. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.33/1.47 apply (zenon_L54_); trivial. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.33/1.47 apply (zenon_L115_); trivial. % 1.33/1.47 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.33/1.47 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.33/1.47 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.47 apply (zenon_L878_); trivial. % 1.33/1.47 apply (zenon_L890_); trivial. % 1.33/1.47 apply (zenon_L891_); trivial. % 1.33/1.47 (* end of lemma zenon_L892_ *) % 1.33/1.47 assert (zenon_L893_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(hskp11)) -> ((hskp26)\/(hskp11)) -> False). % 1.33/1.47 do 0 intro. intros zenon_H66 zenon_H174 zenon_H46 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H3 zenon_H5. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.33/1.47 apply (zenon_L3_); trivial. % 1.33/1.47 apply (zenon_L871_); trivial. % 1.33/1.47 (* end of lemma zenon_L893_ *) % 1.33/1.47 assert (zenon_L894_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(c0_1 (a601))) -> (~(c2_1 (a601))) -> (~(c1_1 (a601))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(hskp18)) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (ndr1_0) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H30 zenon_H2ab zenon_H3 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H257 zenon_H258 zenon_H259 zenon_H1eb zenon_H28d zenon_H100 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hf zenon_H142 zenon_H1c8. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.33/1.47 apply (zenon_L294_); trivial. % 1.33/1.47 apply (zenon_L868_); trivial. % 1.33/1.47 (* end of lemma zenon_L894_ *) % 1.33/1.47 assert (zenon_L895_ : ((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((hskp26)\/(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H2c5 zenon_H12c zenon_H66 zenon_Hc0 zenon_H1c zenon_H1a zenon_H6c zenon_H6d zenon_H6e zenon_H1ba zenon_H5 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H3 zenon_H2ab zenon_H30. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.47 apply (zenon_L894_); trivial. % 1.33/1.47 apply (zenon_L139_); trivial. % 1.33/1.47 (* end of lemma zenon_L895_ *) % 1.33/1.47 assert (zenon_L896_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((hskp26)\/(hskp11)) -> (~(hskp11)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H1bf zenon_H2f2 zenon_H12c zenon_Hc0 zenon_H1c zenon_H1a zenon_H1ba zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H1eb zenon_H2ab zenon_H30 zenon_H242 zenon_H125 zenon_H42 zenon_H128 zenon_H254 zenon_H5 zenon_H3 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H66. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.33/1.47 apply (zenon_L893_); trivial. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.33/1.47 apply (zenon_L866_); trivial. % 1.33/1.47 apply (zenon_L895_); trivial. % 1.33/1.47 (* end of lemma zenon_L896_ *) % 1.33/1.47 assert (zenon_L897_ : ((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(hskp4)) -> (~(hskp10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (~(hskp12)) -> False). % 1.33/1.47 do 0 intro. intros zenon_Hbc zenon_H174 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H17f zenon_H1a zenon_H1e5 zenon_H46. % 1.33/1.47 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.33/1.47 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.33/1.47 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H167 | zenon_intro zenon_H175 ]. % 1.33/1.47 apply (zenon_L864_); trivial. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H10 | zenon_intro zenon_H47 ]. % 1.33/1.47 apply (zenon_L165_); trivial. % 1.33/1.47 exact (zenon_H46 zenon_H47). % 1.33/1.47 (* end of lemma zenon_L897_ *) % 1.33/1.47 assert (zenon_L898_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp10)) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (ndr1_0) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> False). % 1.33/1.47 do 0 intro. intros zenon_Hc0 zenon_H174 zenon_H46 zenon_H1a zenon_H17f zenon_H1e5 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_Hf zenon_H142 zenon_H1c8. % 1.33/1.47 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.33/1.47 apply (zenon_L146_); trivial. % 1.33/1.47 apply (zenon_L897_); trivial. % 1.33/1.47 (* end of lemma zenon_L898_ *) % 1.33/1.47 assert (zenon_L899_ : ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(hskp14)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H6a zenon_H255 zenon_H40 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_Hf zenon_Hca zenon_Hcb zenon_Hcc zenon_Hd3 zenon_Hd5. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.33/1.47 apply (zenon_L53_); trivial. % 1.33/1.47 apply (zenon_L887_); trivial. % 1.33/1.47 (* end of lemma zenon_L899_ *) % 1.33/1.47 assert (zenon_L900_ : ((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp3))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp8)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H1bc zenon_H198 zenon_H8e zenon_H15c zenon_H1b5 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H1eb zenon_H15f zenon_H15e zenon_H160 zenon_H42 zenon_H222 zenon_H15a zenon_H18d zenon_H155 zenon_H159 zenon_H12c zenon_Hd5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H40 zenon_H255 zenon_H6a. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.33/1.47 apply (zenon_L899_); trivial. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.47 apply (zenon_L135_); trivial. % 1.33/1.47 apply (zenon_L890_); trivial. % 1.33/1.47 apply (zenon_L101_); trivial. % 1.33/1.47 (* end of lemma zenon_L900_ *) % 1.33/1.47 assert (zenon_L901_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp3))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (~(hskp3)) -> (~(hskp4)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp3)\/(hskp4))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp8)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H1bf zenon_H198 zenon_H8e zenon_H15c zenon_H1b5 zenon_H1eb zenon_H42 zenon_H222 zenon_H18d zenon_H155 zenon_H159 zenon_H12c zenon_Hd5 zenon_H48 zenon_H174 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H15a zenon_H17f zenon_H181 zenon_H66 zenon_H31 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H40 zenon_H255 zenon_H6a. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.33/1.47 apply (zenon_L888_); trivial. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.33/1.47 apply (zenon_L133_); trivial. % 1.33/1.47 apply (zenon_L900_); trivial. % 1.33/1.47 (* end of lemma zenon_L901_ *) % 1.33/1.47 assert (zenon_L902_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> ((hskp26)\/(hskp11)) -> (~(hskp11)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H1bf zenon_H12c zenon_Hc0 zenon_H1c zenon_H1a zenon_H1ba zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H40 zenon_H1b5 zenon_H5 zenon_H3 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H66. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.33/1.47 apply (zenon_L893_); trivial. % 1.33/1.47 apply (zenon_L140_); trivial. % 1.33/1.47 (* end of lemma zenon_L902_ *) % 1.33/1.47 assert (zenon_L903_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H194 zenon_H159 zenon_H155 zenon_H6e zenon_H6d zenon_H6c zenon_Hcc zenon_Hcb zenon_Hca zenon_H176 zenon_H177 zenon_H178 zenon_H222 zenon_H42 zenon_H142 zenon_H1c8. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H146 | zenon_intro zenon_H154 ]. % 1.33/1.47 apply (zenon_L205_); trivial. % 1.33/1.47 apply (zenon_L97_); trivial. % 1.33/1.47 (* end of lemma zenon_L903_ *) % 1.33/1.47 assert (zenon_L904_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H197 zenon_H1bf zenon_H198 zenon_H159 zenon_H155 zenon_H176 zenon_H177 zenon_H178 zenon_H222 zenon_H42 zenon_H142 zenon_H1c8 zenon_Hd5 zenon_H255 zenon_H6a zenon_H48 zenon_H40 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H66. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.33/1.47 apply (zenon_L872_); trivial. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.33/1.47 apply (zenon_L899_); trivial. % 1.33/1.47 apply (zenon_L903_); trivial. % 1.33/1.47 (* end of lemma zenon_L904_ *) % 1.33/1.47 assert (zenon_L905_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp8)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H1bf zenon_H198 zenon_H159 zenon_H155 zenon_H176 zenon_H177 zenon_H178 zenon_H222 zenon_H42 zenon_H142 zenon_H1c8 zenon_Hd5 zenon_H48 zenon_H174 zenon_H66 zenon_H31 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H40 zenon_H255 zenon_H6a. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.33/1.47 apply (zenon_L888_); trivial. % 1.33/1.47 apply (zenon_L904_); trivial. % 1.33/1.47 (* end of lemma zenon_L905_ *) % 1.33/1.47 assert (zenon_L906_ : ((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> ((hskp26)\/(hskp11)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H19c zenon_H209 zenon_H31 zenon_H1bf zenon_H12c zenon_Hc0 zenon_H1c zenon_H1ba zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H40 zenon_H1b5 zenon_H5 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H66 zenon_H48 zenon_H6a zenon_H255 zenon_Hd5 zenon_H1c8 zenon_H142 zenon_H42 zenon_H222 zenon_H155 zenon_H159 zenon_H198 zenon_H19b. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.33/1.47 apply (zenon_L902_); trivial. % 1.33/1.47 apply (zenon_L904_); trivial. % 1.33/1.47 apply (zenon_L905_); trivial. % 1.33/1.47 (* end of lemma zenon_L906_ *) % 1.33/1.47 assert (zenon_L907_ : ((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H32 zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H4d zenon_H4c zenon_H4b. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hf. zenon_intro zenon_H33. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H1f. zenon_intro zenon_H34. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1ec ]. % 1.33/1.47 apply (zenon_L864_); trivial. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H18f ]. % 1.33/1.47 apply (zenon_L20_); trivial. % 1.33/1.47 apply (zenon_L173_); trivial. % 1.33/1.47 (* end of lemma zenon_L907_ *) % 1.33/1.47 assert (zenon_L908_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H8b zenon_H30 zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H1e7 zenon_H83 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_H142 zenon_H1c8. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.33/1.47 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.33/1.47 apply (zenon_L172_); trivial. % 1.33/1.47 apply (zenon_L907_); trivial. % 1.33/1.47 (* end of lemma zenon_L908_ *) % 1.33/1.47 assert (zenon_L909_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (ndr1_0) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> False). % 1.33/1.47 do 0 intro. intros zenon_H8e zenon_H30 zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H1e7 zenon_H83 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_H142 zenon_H1c8 zenon_Hf zenon_H184 zenon_H185 zenon_H186 zenon_H15a zenon_H18d. % 1.33/1.47 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.47 apply (zenon_L120_); trivial. % 1.33/1.48 apply (zenon_L908_); trivial. % 1.33/1.48 (* end of lemma zenon_L909_ *) % 1.33/1.48 assert (zenon_L910_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (c3_1 (a598)) -> (c0_1 (a598)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H8b zenon_H207 zenon_H203 zenon_Hfb zenon_H92 zenon_H91 zenon_H90 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1f6 zenon_H125 zenon_H160 zenon_H15f zenon_H1eb. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H202 ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1ec ]. % 1.33/1.48 apply (zenon_L864_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H18f ]. % 1.33/1.48 apply (zenon_L20_); trivial. % 1.33/1.48 apply (zenon_L181_); trivial. % 1.33/1.48 apply (zenon_L183_); trivial. % 1.33/1.48 (* end of lemma zenon_L910_ *) % 1.33/1.48 assert (zenon_L911_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (c3_1 (a598)) -> (c0_1 (a598)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (ndr1_0) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H8e zenon_H207 zenon_H203 zenon_Hfb zenon_H92 zenon_H91 zenon_H90 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1f6 zenon_H125 zenon_H160 zenon_H15f zenon_H1eb zenon_Hf zenon_H184 zenon_H185 zenon_H186 zenon_H15a zenon_H18d. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.48 apply (zenon_L120_); trivial. % 1.33/1.48 apply (zenon_L910_); trivial. % 1.33/1.48 (* end of lemma zenon_L911_ *) % 1.33/1.48 assert (zenon_L912_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(hskp18)) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (ndr1_0) -> (~(c2_1 (a606))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(hskp9)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H1e0 zenon_H30 zenon_H1eb zenon_H4d zenon_H4c zenon_H4b zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H28d zenon_H100 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_H142 zenon_H1c8 zenon_Hf zenon_H12e zenon_H12f zenon_H130 zenon_H5f zenon_H1d2. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ]. % 1.33/1.48 apply (zenon_L156_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_Hf. zenon_intro zenon_H1de. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d6. zenon_intro zenon_H1df. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.33/1.48 apply (zenon_L464_); trivial. % 1.33/1.48 apply (zenon_L907_); trivial. % 1.33/1.48 (* end of lemma zenon_L912_ *) % 1.33/1.48 assert (zenon_L913_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (c1_1 (a612)) -> (c3_1 (a612)) -> (c2_1 (a612)) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5)))))) -> (ndr1_0) -> (~(hskp12)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H174 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_Hb3 zenon_Hb5 zenon_Hb4 zenon_Hec zenon_Hf zenon_H46. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H167 | zenon_intro zenon_H175 ]. % 1.33/1.48 apply (zenon_L864_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H10 | zenon_intro zenon_H47 ]. % 1.33/1.48 apply (zenon_L109_); trivial. % 1.33/1.48 exact (zenon_H46 zenon_H47). % 1.33/1.48 (* end of lemma zenon_L913_ *) % 1.33/1.48 assert (zenon_L914_ : ((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp27)) -> (~(c2_1 (a606))) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(hskp12)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> False). % 1.33/1.48 do 0 intro. intros zenon_Hbc zenon_H104 zenon_H75 zenon_H12e zenon_H130 zenon_H12f zenon_H10b zenon_H10c zenon_H114 zenon_H285 zenon_H46 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_Hca zenon_Hcb zenon_Hcc. % 1.33/1.48 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.33/1.48 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.33/1.48 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H105 ]. % 1.33/1.48 apply (zenon_L367_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hec | zenon_intro zenon_Hc9 ]. % 1.33/1.48 apply (zenon_L913_); trivial. % 1.33/1.48 apply (zenon_L51_); trivial. % 1.33/1.48 (* end of lemma zenon_L914_ *) % 1.33/1.48 assert (zenon_L915_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> (~(c2_1 (a606))) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> (~(hskp27)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (ndr1_0) -> (~(c1_1 (a651))) -> (~(c3_1 (a651))) -> (c2_1 (a651)) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> False). % 1.33/1.48 do 0 intro. intros zenon_Hc0 zenon_H104 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H46 zenon_H174 zenon_H10b zenon_H10c zenon_H114 zenon_H12e zenon_H130 zenon_H12f zenon_H75 zenon_H285 zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_Hf zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_H142 zenon_H1c8. % 1.33/1.48 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.33/1.48 apply (zenon_L447_); trivial. % 1.33/1.48 apply (zenon_L914_); trivial. % 1.33/1.48 (* end of lemma zenon_L915_ *) % 1.33/1.48 assert (zenon_L916_ : ((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp12)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c0_1 (a611)) -> (c1_1 (a611)) -> (c3_1 (a611)) -> False). % 1.33/1.48 do 0 intro. intros zenon_Hbc zenon_H24f zenon_Hcc zenon_Hcb zenon_Hca zenon_H4b zenon_H4c zenon_H4d zenon_H1eb zenon_H46 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H7a zenon_H7b zenon_H7c. % 1.33/1.48 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.33/1.48 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.33/1.48 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.33/1.48 apply (zenon_L885_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.33/1.48 apply (zenon_L913_); trivial. % 1.33/1.48 apply (zenon_L31_); trivial. % 1.33/1.48 (* end of lemma zenon_L916_ *) % 1.33/1.48 assert (zenon_L917_ : ((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c1_1 (a651))) -> (~(c3_1 (a651))) -> (c2_1 (a651)) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H87 zenon_Hc0 zenon_H24f zenon_H46 zenon_H174 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H4b zenon_H4c zenon_H4d zenon_H1eb zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_H142 zenon_H1c8. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.33/1.48 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.33/1.48 apply (zenon_L447_); trivial. % 1.33/1.48 apply (zenon_L916_); trivial. % 1.33/1.48 (* end of lemma zenon_L917_ *) % 1.33/1.48 assert (zenon_L918_ : ((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H1dd zenon_H8a zenon_H24f zenon_H4b zenon_H4c zenon_H4d zenon_H1eb zenon_H1c8 zenon_H142 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H1c3 zenon_H285 zenon_H12f zenon_H130 zenon_H12e zenon_H114 zenon_H10c zenon_H10b zenon_H174 zenon_H46 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H104 zenon_Hc0. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_Hf. zenon_intro zenon_H1de. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d6. zenon_intro zenon_H1df. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.33/1.48 apply (zenon_L915_); trivial. % 1.33/1.48 apply (zenon_L917_); trivial. % 1.33/1.48 (* end of lemma zenon_L918_ *) % 1.33/1.48 assert (zenon_L919_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> (~(c2_1 (a606))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H8b zenon_H12c zenon_H8a zenon_H24f zenon_Hca zenon_Hcb zenon_Hcc zenon_H1c3 zenon_H285 zenon_H174 zenon_H46 zenon_H104 zenon_Hc0 zenon_H1d2 zenon_H5f zenon_H130 zenon_H12f zenon_H12e zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H1e0. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.48 apply (zenon_L912_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ]. % 1.33/1.48 apply (zenon_L156_); trivial. % 1.33/1.48 apply (zenon_L918_); trivial. % 1.33/1.48 (* end of lemma zenon_L919_ *) % 1.33/1.48 assert (zenon_L920_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H137 zenon_H8e zenon_H12c zenon_H8a zenon_H24f zenon_Hca zenon_Hcb zenon_Hcc zenon_H1c3 zenon_H285 zenon_H174 zenon_H46 zenon_H104 zenon_Hc0 zenon_H1d2 zenon_H5f zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H1e0 zenon_H184 zenon_H185 zenon_H186 zenon_H15a zenon_H18d. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.48 apply (zenon_L120_); trivial. % 1.33/1.48 apply (zenon_L919_); trivial. % 1.33/1.48 (* end of lemma zenon_L920_ *) % 1.33/1.48 assert (zenon_L921_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> (~(hskp3)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_Hc6 zenon_H13b zenon_H12c zenon_H8a zenon_H24f zenon_Hca zenon_Hcb zenon_Hcc zenon_H1c3 zenon_H285 zenon_H174 zenon_H46 zenon_H104 zenon_Hc0 zenon_H1d2 zenon_H5f zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H30 zenon_H1e0 zenon_H18d zenon_H15a zenon_H186 zenon_H185 zenon_H184 zenon_H1eb zenon_H15f zenon_H160 zenon_H125 zenon_H1f6 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H203 zenon_H207 zenon_H8e. % 1.33/1.48 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.33/1.48 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.33/1.48 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.33/1.48 apply (zenon_L911_); trivial. % 1.33/1.48 apply (zenon_L920_); trivial. % 1.33/1.48 (* end of lemma zenon_L921_ *) % 1.33/1.48 assert (zenon_L922_ : ((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H1bc zenon_H8e zenon_H159 zenon_H155 zenon_Hcc zenon_Hcb zenon_Hca zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H222 zenon_H42 zenon_H160 zenon_H15e zenon_H15f zenon_H1eb zenon_H184 zenon_H185 zenon_H186 zenon_H15a zenon_H18d. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.48 apply (zenon_L120_); trivial. % 1.33/1.48 apply (zenon_L891_); trivial. % 1.33/1.48 (* end of lemma zenon_L922_ *) % 1.33/1.48 assert (zenon_L923_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(c0_1 (a601))) -> (~(c2_1 (a601))) -> (~(c1_1 (a601))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp22)) -> (~(hskp17)) -> ((hskp29)\/((hskp22)\/(hskp17))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H30 zenon_H2ab zenon_H3 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H257 zenon_H258 zenon_H259 zenon_H1eb zenon_H146 zenon_Ha zenon_H148. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.33/1.48 apply (zenon_L93_); trivial. % 1.33/1.48 apply (zenon_L868_); trivial. % 1.33/1.48 (* end of lemma zenon_L923_ *) % 1.33/1.48 assert (zenon_L924_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((hskp29)\/((hskp22)\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a590)) -> (c2_1 (a590)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((hskp26)\/(hskp11)) -> (~(hskp11)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H1bf zenon_H2f2 zenon_H8e zenon_H6a zenon_H54 zenon_H5f zenon_H62 zenon_H30 zenon_H2ab zenon_H1eb zenon_H148 zenon_H1c zenon_H1a zenon_H237 zenon_H22c zenon_H155 zenon_H159 zenon_H242 zenon_H142 zenon_H8 zenon_H144 zenon_H254 zenon_H5 zenon_H3 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H66. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.33/1.48 apply (zenon_L893_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.33/1.48 apply (zenon_L873_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H146 | zenon_intro zenon_H154 ]. % 1.33/1.48 apply (zenon_L923_); trivial. % 1.33/1.48 apply (zenon_L220_); trivial. % 1.33/1.48 apply (zenon_L121_); trivial. % 1.33/1.48 (* end of lemma zenon_L924_ *) % 1.33/1.48 assert (zenon_L925_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> (~(hskp8)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (ndr1_0) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp13)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H254 zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H6c zenon_H6d zenon_H6e zenon_H40 zenon_H77 zenon_Hf zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H240 zenon_H242. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H23e | zenon_intro zenon_H251 ]. % 1.33/1.48 apply (zenon_L865_); trivial. % 1.33/1.48 apply (zenon_L229_); trivial. % 1.33/1.48 (* end of lemma zenon_L925_ *) % 1.33/1.48 assert (zenon_L926_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c0_1 (a601))) -> (~(c2_1 (a601))) -> (~(c1_1 (a601))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H104 zenon_H119 zenon_H257 zenon_H258 zenon_H259 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H237 zenon_H22c zenon_H22b zenon_Hf zenon_Hca zenon_Hcb zenon_Hcc. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H105 ]. % 1.33/1.48 apply (zenon_L875_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hec | zenon_intro zenon_Hc9 ]. % 1.33/1.48 apply (zenon_L226_); trivial. % 1.33/1.48 apply (zenon_L51_); trivial. % 1.33/1.48 (* end of lemma zenon_L926_ *) % 1.33/1.48 assert (zenon_L927_ : ((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c1_1 (a601))) -> (~(c2_1 (a601))) -> (~(c0_1 (a601))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H87 zenon_H24f zenon_Hcc zenon_Hcb zenon_Hca zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H259 zenon_H258 zenon_H257 zenon_H104 zenon_H237 zenon_H22c zenon_H22b. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.33/1.48 apply (zenon_L926_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.33/1.48 apply (zenon_L226_); trivial. % 1.33/1.48 apply (zenon_L31_); trivial. % 1.33/1.48 (* end of lemma zenon_L927_ *) % 1.33/1.48 assert (zenon_L928_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H197 zenon_H1bf zenon_H2f2 zenon_H1eb zenon_H104 zenon_H242 zenon_H77 zenon_H22b zenon_H22c zenon_H237 zenon_H24f zenon_H8a zenon_H254 zenon_H48 zenon_H40 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H66. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.33/1.48 apply (zenon_L872_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.33/1.48 apply (zenon_L925_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.33/1.48 apply (zenon_L30_); trivial. % 1.33/1.48 apply (zenon_L927_); trivial. % 1.33/1.48 (* end of lemma zenon_L928_ *) % 1.33/1.48 assert (zenon_L929_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((hskp26)\/(hskp11)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H1bf zenon_H2f2 zenon_H1eb zenon_H104 zenon_H242 zenon_H77 zenon_H22b zenon_H22c zenon_H237 zenon_H24f zenon_H8a zenon_H254 zenon_H48 zenon_H40 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H31 zenon_H5 zenon_H5f zenon_H62 zenon_H66 zenon_H6a. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.33/1.48 apply (zenon_L106_); trivial. % 1.33/1.48 apply (zenon_L928_); trivial. % 1.33/1.48 (* end of lemma zenon_L929_ *) % 1.33/1.48 assert (zenon_L930_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c0_1 (a595))) -> (~(c0_1 (a590))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (c2_1 (a583)) -> (c1_1 (a583)) -> (c0_1 (a583)) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (ndr1_0) -> (~(hskp10)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H104 zenon_H178 zenon_H177 zenon_H119 zenon_H176 zenon_H22b zenon_H1c zenon_H13 zenon_H12 zenon_H11 zenon_H237 zenon_H22c zenon_Hf zenon_H1a. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H105 ]. % 1.33/1.48 apply (zenon_L343_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hec | zenon_intro zenon_Hc9 ]. % 1.33/1.48 apply (zenon_L226_); trivial. % 1.33/1.48 apply (zenon_L218_); trivial. % 1.33/1.48 (* end of lemma zenon_L930_ *) % 1.33/1.48 assert (zenon_L931_ : ((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp10)) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(c0_1 (a590))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp2)) -> (~(hskp7)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H61 zenon_H144 zenon_H1a zenon_H22c zenon_H237 zenon_H1c zenon_H22b zenon_H176 zenon_H177 zenon_H178 zenon_H104 zenon_H142 zenon_H8. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_Hf. zenon_intro zenon_H63. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H11. zenon_intro zenon_H64. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H119 | zenon_intro zenon_H145 ]. % 1.33/1.48 apply (zenon_L930_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H143 | zenon_intro zenon_H9 ]. % 1.33/1.48 exact (zenon_H142 zenon_H143). % 1.33/1.48 exact (zenon_H8 zenon_H9). % 1.33/1.48 (* end of lemma zenon_L931_ *) % 1.33/1.48 assert (zenon_L932_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp11)) -> ((hskp26)\/(hskp11)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H66 zenon_H144 zenon_H8 zenon_H142 zenon_H176 zenon_H177 zenon_H178 zenon_H22b zenon_H22c zenon_H237 zenon_H1c zenon_H1a zenon_H104 zenon_H3 zenon_H5. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.33/1.48 apply (zenon_L3_); trivial. % 1.33/1.48 apply (zenon_L931_); trivial. % 1.33/1.48 (* end of lemma zenon_L932_ *) % 1.33/1.48 assert (zenon_L933_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp8)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H1c8 zenon_H142 zenon_H22b zenon_H22c zenon_H237 zenon_H104 zenon_H178 zenon_H177 zenon_H176 zenon_H31 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H40 zenon_H255 zenon_H6a. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.33/1.48 apply (zenon_L888_); trivial. % 1.33/1.48 apply (zenon_L243_); trivial. % 1.33/1.48 (* end of lemma zenon_L933_ *) % 1.33/1.48 assert (zenon_L934_ : ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(c0_1 (a590))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((hskp26)\/(hskp11)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((hskp29)\/((hskp22)\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H1a0 zenon_H255 zenon_H1c8 zenon_H19b zenon_H104 zenon_H77 zenon_H22b zenon_H24f zenon_H8a zenon_H48 zenon_H40 zenon_H66 zenon_H174 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H5 zenon_H254 zenon_H144 zenon_H8 zenon_H142 zenon_H242 zenon_H159 zenon_H155 zenon_H22c zenon_H237 zenon_H1c zenon_H148 zenon_H1eb zenon_H2ab zenon_H30 zenon_H62 zenon_H54 zenon_H6a zenon_H8e zenon_H2f2 zenon_H1bf zenon_H31 zenon_H209. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.33/1.48 apply (zenon_L924_); trivial. % 1.33/1.48 apply (zenon_L928_); trivial. % 1.33/1.48 apply (zenon_L929_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.33/1.48 apply (zenon_L932_); trivial. % 1.33/1.48 apply (zenon_L243_); trivial. % 1.33/1.48 apply (zenon_L933_); trivial. % 1.33/1.48 (* end of lemma zenon_L934_ *) % 1.33/1.48 assert (zenon_L935_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> (~(hskp18)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (ndr1_0) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp13)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H254 zenon_H24f zenon_H185 zenon_H186 zenon_H184 zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H100 zenon_H102 zenon_H237 zenon_H22c zenon_H22b zenon_Hf zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H240 zenon_H242. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H23e | zenon_intro zenon_H251 ]. % 1.33/1.48 apply (zenon_L865_); trivial. % 1.33/1.48 apply (zenon_L543_); trivial. % 1.33/1.48 (* end of lemma zenon_L935_ *) % 1.33/1.48 assert (zenon_L936_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp17)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (c3_1 (a599)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp2)) -> (~(hskp7)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H127 zenon_H144 zenon_Ha zenon_Hca zenon_Hcb zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_Hcc zenon_H123 zenon_H142 zenon_H8. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H119 | zenon_intro zenon_H145 ]. % 1.33/1.48 apply (zenon_L880_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H143 | zenon_intro zenon_H9 ]. % 1.33/1.48 exact (zenon_H142 zenon_H143). % 1.33/1.48 exact (zenon_H8 zenon_H9). % 1.33/1.48 (* end of lemma zenon_L936_ *) % 1.33/1.48 assert (zenon_L937_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c1_1 (a601))) -> (~(c2_1 (a601))) -> (~(c0_1 (a601))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (ndr1_0) -> (~(hskp18)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H24f zenon_Hcc zenon_Hcb zenon_Hca zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H259 zenon_H258 zenon_H257 zenon_H104 zenon_H237 zenon_H22c zenon_H22b zenon_H102 zenon_H184 zenon_H186 zenon_H185 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_Hf zenon_H100. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.33/1.48 apply (zenon_L926_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.33/1.48 apply (zenon_L226_); trivial. % 1.33/1.48 apply (zenon_L498_); trivial. % 1.33/1.48 (* end of lemma zenon_L937_ *) % 1.33/1.48 assert (zenon_L938_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H197 zenon_H2f2 zenon_H104 zenon_H144 zenon_H8 zenon_H142 zenon_H184 zenon_H185 zenon_H186 zenon_H192 zenon_H12c zenon_H1eb zenon_H123 zenon_H242 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H22b zenon_H22c zenon_H237 zenon_H102 zenon_H24f zenon_H254 zenon_H8e zenon_H198. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.33/1.48 apply (zenon_L124_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.48 apply (zenon_L935_); trivial. % 1.33/1.48 apply (zenon_L936_); trivial. % 1.33/1.48 apply (zenon_L886_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.33/1.48 apply (zenon_L124_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.48 apply (zenon_L937_); trivial. % 1.33/1.48 apply (zenon_L936_); trivial. % 1.33/1.48 apply (zenon_L886_); trivial. % 1.33/1.48 (* end of lemma zenon_L938_ *) % 1.33/1.48 assert (zenon_L939_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((hskp26)\/(hskp11)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H2f2 zenon_H104 zenon_H144 zenon_H8 zenon_H142 zenon_H184 zenon_H185 zenon_H186 zenon_H192 zenon_H12c zenon_H1eb zenon_H123 zenon_H242 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H22b zenon_H22c zenon_H237 zenon_H102 zenon_H24f zenon_H254 zenon_H8e zenon_H198 zenon_H31 zenon_H5 zenon_H5f zenon_H62 zenon_H66 zenon_H6a. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.33/1.48 apply (zenon_L106_); trivial. % 1.33/1.48 apply (zenon_L938_); trivial. % 1.33/1.48 (* end of lemma zenon_L939_ *) % 1.33/1.48 assert (zenon_L940_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((hskp29)\/((hskp22)\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((hskp26)\/(hskp11)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c0_1 (a590))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H209 zenon_H31 zenon_H1bf zenon_H2f2 zenon_H8e zenon_H6a zenon_H54 zenon_H5f zenon_H62 zenon_H30 zenon_H2ab zenon_H1eb zenon_H148 zenon_H1c zenon_H237 zenon_H22c zenon_H155 zenon_H159 zenon_H242 zenon_H142 zenon_H8 zenon_H144 zenon_H254 zenon_H5 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H66 zenon_H198 zenon_H24f zenon_H102 zenon_H22b zenon_H123 zenon_H12c zenon_H192 zenon_H186 zenon_H185 zenon_H184 zenon_H104 zenon_H19b. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.33/1.48 apply (zenon_L924_); trivial. % 1.33/1.48 apply (zenon_L938_); trivial. % 1.33/1.48 apply (zenon_L939_); trivial. % 1.33/1.48 (* end of lemma zenon_L940_ *) % 1.33/1.48 assert (zenon_L941_ : (~(hskp21)) -> (hskp21) -> False). % 1.33/1.48 do 0 intro. intros zenon_H2f3 zenon_H2f4. % 1.33/1.48 exact (zenon_H2f3 zenon_H2f4). % 1.33/1.48 (* end of lemma zenon_L941_ *) % 1.33/1.48 assert (zenon_L942_ : ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (ndr1_0) -> (forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))) -> (~(hskp21)) -> (~(hskp11)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H2f5 zenon_H160 zenon_H15e zenon_H15f zenon_Hf zenon_H18f zenon_H2f3 zenon_H3. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H9d | zenon_intro zenon_H2f6 ]. % 1.33/1.48 apply (zenon_L254_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H2f6); [ zenon_intro zenon_H2f4 | zenon_intro zenon_H4 ]. % 1.33/1.48 exact (zenon_H2f3 zenon_H2f4). % 1.33/1.48 exact (zenon_H3 zenon_H4). % 1.33/1.48 (* end of lemma zenon_L942_ *) % 1.33/1.48 assert (zenon_L943_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2)))))) -> (~(c0_1 (a595))) -> (~(hskp21)) -> (ndr1_0) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H2ab zenon_H178 zenon_H177 zenon_H1c5 zenon_H176 zenon_H2f3 zenon_Hf zenon_H15f zenon_H15e zenon_H160 zenon_H2f5 zenon_H3. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H2ac ]. % 1.33/1.48 apply (zenon_L191_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H18f | zenon_intro zenon_H4 ]. % 1.33/1.48 apply (zenon_L942_); trivial. % 1.33/1.48 exact (zenon_H3 zenon_H4). % 1.33/1.48 (* end of lemma zenon_L943_ *) % 1.33/1.48 assert (zenon_L944_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp11)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (ndr1_0) -> (~(hskp21)) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (~(hskp2)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H1c8 zenon_H3 zenon_H2f5 zenon_H160 zenon_H15e zenon_H15f zenon_Hf zenon_H2f3 zenon_H176 zenon_H177 zenon_H178 zenon_H2ab zenon_H142. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1c9 ]. % 1.33/1.48 apply (zenon_L116_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H143 ]. % 1.33/1.48 apply (zenon_L943_); trivial. % 1.33/1.48 exact (zenon_H142 zenon_H143). % 1.33/1.48 (* end of lemma zenon_L944_ *) % 1.33/1.48 assert (zenon_L945_ : (forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))) -> (ndr1_0) -> (~(c2_1 (a629))) -> (~(c3_1 (a629))) -> (c0_1 (a629)) -> False). % 1.33/1.48 do 0 intro. intros zenon_He0 zenon_Hf zenon_H2f7 zenon_H2f8 zenon_H2f9. % 1.33/1.48 generalize (zenon_He0 (a629)). zenon_intro zenon_H2fa. % 1.33/1.48 apply (zenon_imply_s _ _ zenon_H2fa); [ zenon_intro zenon_He | zenon_intro zenon_H2fb ]. % 1.33/1.48 exact (zenon_He zenon_Hf). % 1.33/1.48 apply (zenon_or_s _ _ zenon_H2fb); [ zenon_intro zenon_H2fd | zenon_intro zenon_H2fc ]. % 1.33/1.48 exact (zenon_H2f7 zenon_H2fd). % 1.33/1.48 apply (zenon_or_s _ _ zenon_H2fc); [ zenon_intro zenon_H2ff | zenon_intro zenon_H2fe ]. % 1.33/1.48 exact (zenon_H2f8 zenon_H2ff). % 1.33/1.48 exact (zenon_H2fe zenon_H2f9). % 1.33/1.48 (* end of lemma zenon_L945_ *) % 1.33/1.48 assert (zenon_L946_ : ((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> (~(hskp17)) -> (~(hskp4)) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H300 zenon_H207 zenon_H289 zenon_Ha zenon_H17f zenon_H176 zenon_H177 zenon_H178 zenon_H1f6 zenon_H125 zenon_H186 zenon_H185 zenon_H184 zenon_H229. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_Hf. zenon_intro zenon_H301. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H2f9. zenon_intro zenon_H302. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H2f7. zenon_intro zenon_H2f8. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H202 ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H22a ]. % 1.33/1.48 apply (zenon_L116_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H10a | zenon_intro zenon_He0 ]. % 1.33/1.48 apply (zenon_L399_); trivial. % 1.33/1.48 apply (zenon_L945_); trivial. % 1.33/1.48 apply (zenon_L287_); trivial. % 1.33/1.48 (* end of lemma zenon_L946_ *) % 1.33/1.48 assert (zenon_L947_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (ndr1_0) -> (c0_1 (a598)) -> (forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H4d zenon_H4c zenon_H4b zenon_Hf zenon_H15f zenon_H9d zenon_H15e zenon_H160. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1ec ]. % 1.33/1.48 apply (zenon_L864_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H18f ]. % 1.33/1.48 apply (zenon_L20_); trivial. % 1.33/1.48 apply (zenon_L254_); trivial. % 1.33/1.48 (* end of lemma zenon_L947_ *) % 1.33/1.48 assert (zenon_L948_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c0_1 (a595))) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (ndr1_0) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H106 zenon_H178 zenon_H177 zenon_H119 zenon_H176 zenon_H92 zenon_H91 zenon_H90 zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H4d zenon_H4c zenon_H4b zenon_Hf zenon_H15f zenon_H15e zenon_H160. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H108 ]. % 1.33/1.48 apply (zenon_L343_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H8f | zenon_intro zenon_H9d ]. % 1.33/1.48 apply (zenon_L39_); trivial. % 1.33/1.48 apply (zenon_L947_); trivial. % 1.33/1.48 (* end of lemma zenon_L948_ *) % 1.33/1.48 assert (zenon_L949_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp4)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp11)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp15)\/(hskp11))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (ndr1_0) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H1e1 zenon_H8e zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H1c8 zenon_H2f5 zenon_H229 zenon_H125 zenon_H1f6 zenon_H17f zenon_H289 zenon_H207 zenon_H303 zenon_H106 zenon_H15f zenon_H15e zenon_H160 zenon_H2ab zenon_H184 zenon_H185 zenon_H186 zenon_H3 zenon_H220 zenon_H178 zenon_H177 zenon_H176 zenon_Hf zenon_H142 zenon_H8 zenon_H144. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.33/1.48 apply (zenon_L345_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.33/1.48 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.33/1.48 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H300 ]. % 1.33/1.48 apply (zenon_L944_); trivial. % 1.33/1.48 apply (zenon_L946_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H119 | zenon_intro zenon_H145 ]. % 1.33/1.48 apply (zenon_L948_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H143 | zenon_intro zenon_H9 ]. % 1.33/1.48 exact (zenon_H142 zenon_H143). % 1.33/1.48 exact (zenon_H8 zenon_H9). % 1.33/1.48 (* end of lemma zenon_L949_ *) % 1.33/1.48 assert (zenon_L950_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a593))/\((c3_1 (a593))/\(~(c2_1 (a593))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp15)\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((hskp29)\/((hskp22)\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((hskp26)\/(hskp11)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(c0_1 (a590))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595))))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H2e6 zenon_H220 zenon_H106 zenon_H303 zenon_H207 zenon_H289 zenon_H17f zenon_H1f6 zenon_H125 zenon_H229 zenon_H2f5 zenon_H1e1 zenon_H192 zenon_H12c zenon_H123 zenon_H102 zenon_H198 zenon_H209 zenon_H31 zenon_H1bf zenon_H2f2 zenon_H8e zenon_H6a zenon_H54 zenon_H62 zenon_H30 zenon_H2ab zenon_H1eb zenon_H148 zenon_H1c zenon_H237 zenon_H22c zenon_H155 zenon_H159 zenon_H242 zenon_H142 zenon_H8 zenon_H144 zenon_H254 zenon_H5 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H66 zenon_H48 zenon_H8a zenon_H24f zenon_H22b zenon_H77 zenon_H104 zenon_H19b zenon_H1c8 zenon_H255 zenon_H1a0. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.33/1.48 apply (zenon_L934_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.33/1.48 apply (zenon_L940_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.33/1.48 apply (zenon_L932_); trivial. % 1.33/1.48 apply (zenon_L938_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.33/1.48 apply (zenon_L949_); trivial. % 1.33/1.48 apply (zenon_L243_); trivial. % 1.33/1.48 (* end of lemma zenon_L950_ *) % 1.33/1.48 assert (zenon_L951_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((hskp26)\/(hskp11)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H19b zenon_H2f2 zenon_H1eb zenon_H104 zenon_H242 zenon_H77 zenon_H22b zenon_H22c zenon_H237 zenon_H24f zenon_H8a zenon_H254 zenon_H48 zenon_H66 zenon_H174 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H5 zenon_H1b5 zenon_H40 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H1ba zenon_H1a zenon_H1c zenon_Hc0 zenon_H12c zenon_H1bf. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.33/1.48 apply (zenon_L902_); trivial. % 1.33/1.48 apply (zenon_L928_); trivial. % 1.33/1.48 (* end of lemma zenon_L951_ *) % 1.33/1.48 assert (zenon_L952_ : ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((hskp26)\/(hskp11)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H1a0 zenon_H1c8 zenon_H142 zenon_H255 zenon_H19b zenon_H2f2 zenon_H1eb zenon_H104 zenon_H242 zenon_H77 zenon_H22b zenon_H22c zenon_H237 zenon_H24f zenon_H8a zenon_H254 zenon_H48 zenon_H66 zenon_H174 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H5 zenon_H1b5 zenon_H40 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H1ba zenon_H1c zenon_Hc0 zenon_H12c zenon_H1bf zenon_H6a zenon_H62 zenon_H31 zenon_H209. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.33/1.48 apply (zenon_L951_); trivial. % 1.33/1.48 apply (zenon_L929_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.33/1.48 apply (zenon_L951_); trivial. % 1.33/1.48 apply (zenon_L933_); trivial. % 1.33/1.48 (* end of lemma zenon_L952_ *) % 1.33/1.48 assert (zenon_L953_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp27)) -> (~(c2_1 (a606))) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (ndr1_0) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> False). % 1.33/1.48 do 0 intro. intros zenon_H106 zenon_H75 zenon_H12e zenon_H130 zenon_H12f zenon_H10b zenon_H10c zenon_H114 zenon_H285 zenon_H92 zenon_H91 zenon_H90 zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H4d zenon_H4c zenon_H4b zenon_Hf zenon_H15f zenon_H15e zenon_H160. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H108 ]. % 1.33/1.48 apply (zenon_L367_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H8f | zenon_intro zenon_H9d ]. % 1.33/1.48 apply (zenon_L39_); trivial. % 1.33/1.48 apply (zenon_L947_); trivial. % 1.33/1.48 (* end of lemma zenon_L953_ *) % 1.33/1.48 assert (zenon_L954_ : ((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H87 zenon_H24f zenon_Hcc zenon_Hcb zenon_Hca zenon_H4b zenon_H4c zenon_H4d zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H237 zenon_H22c zenon_H22b. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.33/1.48 apply (zenon_L885_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.33/1.48 apply (zenon_L226_); trivial. % 1.33/1.48 apply (zenon_L31_); trivial. % 1.33/1.48 (* end of lemma zenon_L954_ *) % 1.33/1.48 assert (zenon_L955_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H127 zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_Hca zenon_Hcb zenon_Hcc zenon_H285 zenon_H12f zenon_H130 zenon_H12e zenon_H90 zenon_H91 zenon_H92 zenon_H1eb zenon_H160 zenon_H15e zenon_H15f zenon_H4d zenon_H4c zenon_H4b zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H106. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.33/1.48 apply (zenon_L953_); trivial. % 1.33/1.48 apply (zenon_L954_); trivial. % 1.33/1.48 (* end of lemma zenon_L955_ *) % 1.33/1.48 assert (zenon_L956_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> (~(c2_1 (a606))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H8b zenon_H12c zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_Hca zenon_Hcb zenon_Hcc zenon_H285 zenon_H90 zenon_H91 zenon_H92 zenon_H160 zenon_H15e zenon_H15f zenon_H106 zenon_H1d2 zenon_H5f zenon_H130 zenon_H12f zenon_H12e zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H1e0. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.48 apply (zenon_L912_); trivial. % 1.33/1.48 apply (zenon_L955_); trivial. % 1.33/1.48 (* end of lemma zenon_L956_ *) % 1.33/1.48 assert (zenon_L957_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H137 zenon_H8e zenon_H12c zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_Hca zenon_Hcb zenon_Hcc zenon_H285 zenon_H90 zenon_H91 zenon_H92 zenon_H160 zenon_H15e zenon_H15f zenon_H106 zenon_H1d2 zenon_H5f zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H1e0 zenon_H184 zenon_H185 zenon_H186 zenon_H15a zenon_H18d. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.48 apply (zenon_L120_); trivial. % 1.33/1.48 apply (zenon_L956_); trivial. % 1.33/1.48 (* end of lemma zenon_L957_ *) % 1.33/1.48 assert (zenon_L958_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c1_1 (a598))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> (~(hskp3)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_Hc6 zenon_H13b zenon_H12c zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_Hca zenon_Hcb zenon_Hcc zenon_H285 zenon_H15e zenon_H106 zenon_H1d2 zenon_H5f zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H30 zenon_H1e0 zenon_H18d zenon_H15a zenon_H186 zenon_H185 zenon_H184 zenon_H1eb zenon_H15f zenon_H160 zenon_H125 zenon_H1f6 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H203 zenon_H207 zenon_H8e. % 1.33/1.48 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.33/1.48 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.33/1.48 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.33/1.48 apply (zenon_L911_); trivial. % 1.33/1.48 apply (zenon_L957_); trivial. % 1.33/1.48 (* end of lemma zenon_L958_ *) % 1.33/1.48 assert (zenon_L959_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H127 zenon_H8a zenon_Hc0 zenon_H24f zenon_H1a zenon_H1c zenon_H1eb zenon_Hcc zenon_Hcb zenon_Hca zenon_H2eb zenon_H2ea zenon_H2e9 zenon_Ha zenon_H123 zenon_H6c zenon_H6d zenon_H6e zenon_H1ba zenon_H276 zenon_H277 zenon_H278 zenon_H285. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.33/1.48 apply (zenon_L278_); trivial. % 1.33/1.48 apply (zenon_L882_); trivial. % 1.33/1.48 (* end of lemma zenon_L959_ *) % 1.33/1.48 assert (zenon_L960_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c1_1 (a601))) -> (~(c2_1 (a601))) -> (~(c0_1 (a601))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> (~(hskp8)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.33/1.48 do 0 intro. intros zenon_Hc6 zenon_H8e zenon_H144 zenon_H8 zenon_H142 zenon_H8a zenon_H24f zenon_H1eb zenon_Hcc zenon_Hcb zenon_Hca zenon_H259 zenon_H258 zenon_H257 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H102 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H104 zenon_H6c zenon_H6d zenon_H6e zenon_H40 zenon_H77 zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H1ba zenon_H123 zenon_H1c zenon_H1a zenon_Hc0 zenon_H12c. % 1.33/1.48 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.33/1.48 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.33/1.48 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.48 apply (zenon_L878_); trivial. % 1.33/1.48 apply (zenon_L959_); trivial. % 1.33/1.48 apply (zenon_L886_); trivial. % 1.33/1.48 (* end of lemma zenon_L960_ *) % 1.33/1.48 assert (zenon_L961_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (~(hskp4)) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> (ndr1_0) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/((hskp0)\/(hskp11))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H19b zenon_H1bf zenon_H8e zenon_H28d zenon_H274 zenon_H30 zenon_H1b5 zenon_H40 zenon_H285 zenon_H1ba zenon_H123 zenon_H1eb zenon_H1c zenon_H24f zenon_H8a zenon_H12c zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H1c3 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1e5 zenon_H17f zenon_H1a zenon_H174 zenon_Hc0 zenon_Hf zenon_H276 zenon_H277 zenon_H278 zenon_H27f zenon_H281. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.33/1.48 apply (zenon_L267_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.33/1.48 apply (zenon_L898_); trivial. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.48 apply (zenon_L135_); trivial. % 1.33/1.48 apply (zenon_L959_); trivial. % 1.33/1.48 apply (zenon_L556_); trivial. % 1.33/1.48 (* end of lemma zenon_L961_ *) % 1.33/1.48 assert (zenon_L962_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> (ndr1_0) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/((hskp0)\/(hskp11))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H19b zenon_H1bf zenon_H2f2 zenon_H1eb zenon_H104 zenon_H242 zenon_H77 zenon_H22b zenon_H22c zenon_H237 zenon_H24f zenon_H8a zenon_H254 zenon_H48 zenon_H40 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H66 zenon_Hf zenon_H276 zenon_H277 zenon_H278 zenon_H27f zenon_H281. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.33/1.48 apply (zenon_L267_); trivial. % 1.33/1.48 apply (zenon_L928_); trivial. % 1.33/1.48 (* end of lemma zenon_L962_ *) % 1.33/1.48 assert (zenon_L963_ : ((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp17)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (c3_1 (a599)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H87 zenon_H24f zenon_Ha zenon_Hca zenon_Hcb zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H114 zenon_H10c zenon_H10b zenon_Hcc zenon_H123 zenon_H237 zenon_H22c zenon_H22b. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.33/1.48 apply (zenon_L880_); trivial. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.33/1.48 apply (zenon_L226_); trivial. % 1.33/1.48 apply (zenon_L31_); trivial. % 1.33/1.48 (* end of lemma zenon_L963_ *) % 1.33/1.48 assert (zenon_L964_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> False). % 1.33/1.48 do 0 intro. intros zenon_H127 zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H1eb zenon_Hcc zenon_Hcb zenon_Hca zenon_H2eb zenon_H2ea zenon_H2e9 zenon_Ha zenon_H123 zenon_H276 zenon_H277 zenon_H278 zenon_H285. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.33/1.48 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.33/1.48 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.33/1.49 apply (zenon_L278_); trivial. % 1.33/1.49 apply (zenon_L963_); trivial. % 1.33/1.49 (* end of lemma zenon_L964_ *) % 1.33/1.49 assert (zenon_L965_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (ndr1_0) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H12c zenon_H8a zenon_H1eb zenon_Hcc zenon_Hcb zenon_Hca zenon_Ha zenon_H123 zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H242 zenon_H240 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_Hf zenon_H22b zenon_H22c zenon_H237 zenon_H102 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H184 zenon_H186 zenon_H185 zenon_H24f zenon_H254. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.49 apply (zenon_L935_); trivial. % 1.33/1.49 apply (zenon_L964_); trivial. % 1.33/1.49 (* end of lemma zenon_L965_ *) % 1.33/1.49 assert (zenon_L966_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H197 zenon_H2f2 zenon_H104 zenon_H144 zenon_H8 zenon_H142 zenon_H184 zenon_H185 zenon_H186 zenon_H192 zenon_H12c zenon_H8a zenon_H1eb zenon_H123 zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H242 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H22b zenon_H22c zenon_H237 zenon_H102 zenon_H24f zenon_H254 zenon_H274 zenon_H8e zenon_H198. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.33/1.49 apply (zenon_L124_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.49 apply (zenon_L965_); trivial. % 1.33/1.49 apply (zenon_L274_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.33/1.49 apply (zenon_L124_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.49 apply (zenon_L937_); trivial. % 1.33/1.49 apply (zenon_L964_); trivial. % 1.33/1.49 apply (zenon_L886_); trivial. % 1.33/1.49 (* end of lemma zenon_L966_ *) % 1.33/1.49 assert (zenon_L967_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a593))/\((c3_1 (a593))/\(~(c2_1 (a593))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/((hskp0)\/(hskp11))) -> (~(hskp0)) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (ndr1_0) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H2e6 zenon_H144 zenon_H8 zenon_H142 zenon_H192 zenon_H12c zenon_H123 zenon_H285 zenon_H102 zenon_H274 zenon_H8e zenon_H198 zenon_H281 zenon_H27f zenon_H278 zenon_H277 zenon_H276 zenon_Hf zenon_H66 zenon_H174 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H48 zenon_H254 zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H77 zenon_H242 zenon_H104 zenon_H1eb zenon_H2f2 zenon_H1bf zenon_H19b. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.33/1.49 apply (zenon_L962_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.33/1.49 apply (zenon_L267_); trivial. % 1.33/1.49 apply (zenon_L966_); trivial. % 1.33/1.49 (* end of lemma zenon_L967_ *) % 1.33/1.49 assert (zenon_L968_ : ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (ndr1_0) -> (~(hskp21)) -> (~(hskp11)) -> False). % 1.33/1.49 do 0 intro. intros zenon_H2f5 zenon_H299 zenon_H298 zenon_H297 zenon_Hf zenon_H2f3 zenon_H3. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H9d | zenon_intro zenon_H2f6 ]. % 1.33/1.49 apply (zenon_L320_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H2f6); [ zenon_intro zenon_H2f4 | zenon_intro zenon_H4 ]. % 1.33/1.49 exact (zenon_H2f3 zenon_H2f4). % 1.33/1.49 exact (zenon_H3 zenon_H4). % 1.33/1.49 (* end of lemma zenon_L968_ *) % 1.33/1.49 assert (zenon_L969_ : ((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp8))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (~(hskp8)) -> False). % 1.33/1.49 do 0 intro. intros zenon_H300 zenon_He9 zenon_H6e zenon_H6d zenon_H6c zenon_H40. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_Hf. zenon_intro zenon_H301. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H2f9. zenon_intro zenon_H302. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H2f7. zenon_intro zenon_H2f8. % 1.33/1.49 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_He0 | zenon_intro zenon_Hea ]. % 1.33/1.49 apply (zenon_L945_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H6b | zenon_intro zenon_H41 ]. % 1.33/1.49 apply (zenon_L28_); trivial. % 1.33/1.49 exact (zenon_H40 zenon_H41). % 1.33/1.49 (* end of lemma zenon_L969_ *) % 1.33/1.49 assert (zenon_L970_ : ((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(hskp11)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H1bc zenon_H303 zenon_He9 zenon_H40 zenon_H297 zenon_H298 zenon_H299 zenon_H3 zenon_H2f5. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H300 ]. % 1.33/1.49 apply (zenon_L968_); trivial. % 1.33/1.49 apply (zenon_L969_); trivial. % 1.33/1.49 (* end of lemma zenon_L970_ *) % 1.33/1.49 assert (zenon_L971_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> ((hskp26)\/(hskp11)) -> (~(hskp11)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H1bf zenon_H303 zenon_He9 zenon_H40 zenon_H297 zenon_H298 zenon_H299 zenon_H2f5 zenon_H5 zenon_H3 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H66. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.33/1.49 apply (zenon_L893_); trivial. % 1.33/1.49 apply (zenon_L970_); trivial. % 1.33/1.49 (* end of lemma zenon_L971_ *) % 1.33/1.49 assert (zenon_L972_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H197 zenon_H1bf zenon_H159 zenon_H155 zenon_H297 zenon_H298 zenon_H299 zenon_H42 zenon_H222 zenon_H48 zenon_H40 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H66. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.33/1.49 apply (zenon_L872_); trivial. % 1.33/1.49 apply (zenon_L337_); trivial. % 1.33/1.49 (* end of lemma zenon_L972_ *) % 1.33/1.49 assert (zenon_L973_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((hskp26)\/(hskp11)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (~(hskp8)) -> ((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H19b zenon_H159 zenon_H155 zenon_H42 zenon_H222 zenon_H48 zenon_H66 zenon_H174 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H5 zenon_H2f5 zenon_H299 zenon_H298 zenon_H297 zenon_H40 zenon_He9 zenon_H303 zenon_H1bf. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.33/1.49 apply (zenon_L971_); trivial. % 1.33/1.49 apply (zenon_L972_); trivial. % 1.33/1.49 (* end of lemma zenon_L973_ *) % 1.33/1.49 assert (zenon_L974_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((hskp26)\/(hskp11)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H1bf zenon_H159 zenon_H155 zenon_H297 zenon_H298 zenon_H299 zenon_H42 zenon_H222 zenon_H48 zenon_H40 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H31 zenon_H5 zenon_H5f zenon_H62 zenon_H66 zenon_H6a. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.33/1.49 apply (zenon_L106_); trivial. % 1.33/1.49 apply (zenon_L972_); trivial. % 1.33/1.49 (* end of lemma zenon_L974_ *) % 1.33/1.49 assert (zenon_L975_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp8)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H1bf zenon_H159 zenon_H155 zenon_H297 zenon_H298 zenon_H299 zenon_H42 zenon_H222 zenon_H48 zenon_H174 zenon_H66 zenon_H31 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H40 zenon_H255 zenon_H6a. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.33/1.49 apply (zenon_L888_); trivial. % 1.33/1.49 apply (zenon_L972_); trivial. % 1.33/1.49 (* end of lemma zenon_L975_ *) % 1.33/1.49 assert (zenon_L976_ : ((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp8)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp10))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H19c zenon_H209 zenon_H19b zenon_H1bf zenon_H159 zenon_H155 zenon_H42 zenon_H222 zenon_H48 zenon_H174 zenon_H66 zenon_H31 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H40 zenon_H255 zenon_H6a zenon_H217 zenon_H299 zenon_H298 zenon_H297 zenon_H142 zenon_H1c8. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.33/1.49 apply (zenon_L338_); trivial. % 1.33/1.49 apply (zenon_L975_); trivial. % 1.33/1.49 (* end of lemma zenon_L976_ *) % 1.33/1.49 assert (zenon_L977_ : ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp10))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((hskp26)\/(hskp11)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H1a0 zenon_H255 zenon_H217 zenon_H19b zenon_H159 zenon_H155 zenon_H297 zenon_H298 zenon_H299 zenon_H222 zenon_H48 zenon_H40 zenon_H66 zenon_H174 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H5 zenon_H254 zenon_H128 zenon_H42 zenon_H125 zenon_H242 zenon_H30 zenon_H2ab zenon_H1eb zenon_H28d zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_H142 zenon_H1c8 zenon_H1ba zenon_H1c zenon_Hc0 zenon_H12c zenon_H2f2 zenon_H1bf zenon_H6a zenon_H62 zenon_H31 zenon_H209. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.33/1.49 apply (zenon_L896_); trivial. % 1.33/1.49 apply (zenon_L972_); trivial. % 1.33/1.49 apply (zenon_L974_); trivial. % 1.33/1.49 apply (zenon_L976_); trivial. % 1.33/1.49 (* end of lemma zenon_L977_ *) % 1.33/1.49 assert (zenon_L978_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c0_1 (a601))) -> (~(c2_1 (a601))) -> (~(c1_1 (a601))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (ndr1_0) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> False). % 1.33/1.49 do 0 intro. intros zenon_H106 zenon_Hcc zenon_Hcb zenon_Hca zenon_H119 zenon_H257 zenon_H258 zenon_H259 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H92 zenon_H91 zenon_H90 zenon_Hf zenon_H297 zenon_H298 zenon_H299. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H108 ]. % 1.33/1.49 apply (zenon_L875_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H8f | zenon_intro zenon_H9d ]. % 1.33/1.49 apply (zenon_L39_); trivial. % 1.33/1.49 apply (zenon_L320_); trivial. % 1.33/1.49 (* end of lemma zenon_L978_ *) % 1.33/1.49 assert (zenon_L979_ : ((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c1_1 (a601))) -> (~(c2_1 (a601))) -> (~(c0_1 (a601))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H87 zenon_H24f zenon_H299 zenon_H298 zenon_H297 zenon_H90 zenon_H91 zenon_H92 zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H259 zenon_H258 zenon_H257 zenon_Hca zenon_Hcb zenon_Hcc zenon_H106 zenon_H237 zenon_H22c zenon_H22b. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.33/1.49 apply (zenon_L978_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.33/1.49 apply (zenon_L226_); trivial. % 1.33/1.49 apply (zenon_L31_); trivial. % 1.33/1.49 (* end of lemma zenon_L979_ *) % 1.33/1.49 assert (zenon_L980_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c1_1 (a601))) -> (~(c2_1 (a601))) -> (~(c0_1 (a601))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> (~(hskp8)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> False). % 1.33/1.49 do 0 intro. intros zenon_Hc6 zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H1eb zenon_Hcc zenon_Hcb zenon_Hca zenon_H259 zenon_H258 zenon_H257 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H297 zenon_H298 zenon_H299 zenon_H106 zenon_H6c zenon_H6d zenon_H6e zenon_H40 zenon_H77. % 1.33/1.49 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.33/1.49 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.33/1.49 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.33/1.49 apply (zenon_L30_); trivial. % 1.33/1.49 apply (zenon_L979_); trivial. % 1.33/1.49 (* end of lemma zenon_L980_ *) % 1.33/1.49 assert (zenon_L981_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H197 zenon_H1bf zenon_H2f2 zenon_H1e1 zenon_H1eb zenon_H297 zenon_H298 zenon_H299 zenon_H106 zenon_H15e zenon_H15f zenon_H160 zenon_H85 zenon_H242 zenon_H77 zenon_H22b zenon_H22c zenon_H237 zenon_H24f zenon_H8a zenon_H254 zenon_H48 zenon_H40 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H66. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.33/1.49 apply (zenon_L872_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.33/1.49 apply (zenon_L925_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.33/1.49 apply (zenon_L115_); trivial. % 1.33/1.49 apply (zenon_L980_); trivial. % 1.33/1.49 (* end of lemma zenon_L981_ *) % 1.33/1.49 assert (zenon_L982_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp8)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H1bf zenon_H2f2 zenon_H1e1 zenon_H1eb zenon_H297 zenon_H298 zenon_H299 zenon_H106 zenon_H85 zenon_H242 zenon_H77 zenon_H22b zenon_H22c zenon_H237 zenon_H24f zenon_H8a zenon_H254 zenon_H48 zenon_H174 zenon_H66 zenon_H31 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H40 zenon_H255 zenon_H6a. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.33/1.49 apply (zenon_L888_); trivial. % 1.33/1.49 apply (zenon_L981_); trivial. % 1.33/1.49 (* end of lemma zenon_L982_ *) % 1.33/1.49 assert (zenon_L983_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> ((hskp26)\/(hskp11)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H209 zenon_H1e1 zenon_H297 zenon_H298 zenon_H299 zenon_H106 zenon_H85 zenon_H31 zenon_H255 zenon_H6a zenon_H1bf zenon_H12c zenon_Hc0 zenon_H1c zenon_H1ba zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H40 zenon_H1b5 zenon_H5 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H66 zenon_H48 zenon_H254 zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H77 zenon_H242 zenon_H104 zenon_H1eb zenon_H2f2 zenon_H19b. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.33/1.49 apply (zenon_L951_); trivial. % 1.33/1.49 apply (zenon_L982_); trivial. % 1.33/1.49 (* end of lemma zenon_L983_ *) % 1.33/1.49 assert (zenon_L984_ : ((ndr1_0)/\((c2_1 (a592))/\((~(c0_1 (a592)))/\(~(c3_1 (a592)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a593))/\((c3_1 (a593))/\(~(c2_1 (a593))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((hskp26)\/(hskp11)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H2e5 zenon_H2e6 zenon_H198 zenon_H8e zenon_H15c zenon_H15a zenon_H18d zenon_H2ad zenon_H19b zenon_H2f2 zenon_H1eb zenon_H104 zenon_H242 zenon_H77 zenon_H22b zenon_H22c zenon_H237 zenon_H24f zenon_H8a zenon_H254 zenon_H48 zenon_H66 zenon_H174 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H5 zenon_H1b5 zenon_H1ba zenon_H1c zenon_Hc0 zenon_H12c zenon_H1bf zenon_H6a zenon_H255 zenon_H31 zenon_H85 zenon_H106 zenon_H299 zenon_H298 zenon_H297 zenon_H1e1 zenon_H209. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.33/1.49 apply (zenon_L983_); trivial. % 1.33/1.49 apply (zenon_L363_); trivial. % 1.33/1.49 (* end of lemma zenon_L984_ *) % 1.33/1.49 assert (zenon_L985_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> (ndr1_0) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/((hskp0)\/(hskp11))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H19b zenon_H1bf zenon_H159 zenon_H155 zenon_H297 zenon_H298 zenon_H299 zenon_H42 zenon_H222 zenon_H48 zenon_H40 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H66 zenon_Hf zenon_H276 zenon_H277 zenon_H278 zenon_H27f zenon_H281. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.33/1.49 apply (zenon_L267_); trivial. % 1.33/1.49 apply (zenon_L972_); trivial. % 1.33/1.49 (* end of lemma zenon_L985_ *) % 1.33/1.49 assert (zenon_L986_ : ((ndr1_0)/\((c2_1 (a592))/\((~(c0_1 (a592)))/\(~(c3_1 (a592)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a593))/\((c3_1 (a593))/\(~(c2_1 (a593))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/((hskp0)\/(hskp11))) -> (~(hskp0)) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H2e5 zenon_H2e6 zenon_H198 zenon_H8e zenon_H15c zenon_H15a zenon_H18d zenon_H2ad zenon_H281 zenon_H27f zenon_H278 zenon_H277 zenon_H276 zenon_H66 zenon_H174 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H48 zenon_H222 zenon_H42 zenon_H299 zenon_H298 zenon_H297 zenon_H155 zenon_H159 zenon_H1bf zenon_H19b. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.33/1.49 apply (zenon_L985_); trivial. % 1.33/1.49 apply (zenon_L363_); trivial. % 1.33/1.49 (* end of lemma zenon_L986_ *) % 1.33/1.49 assert (zenon_L987_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (ndr1_0) -> (~(hskp22)) -> (~(hskp6)) -> False). % 1.33/1.49 do 0 intro. intros zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H114 zenon_H10c zenon_H10b zenon_H10a zenon_H222 zenon_H160 zenon_H15e zenon_H15f zenon_Hf zenon_H146 zenon_H42. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1ec ]. % 1.33/1.49 apply (zenon_L864_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H18f ]. % 1.33/1.49 apply (zenon_L246_); trivial. % 1.33/1.49 apply (zenon_L740_); trivial. % 1.33/1.49 (* end of lemma zenon_L987_ *) % 1.33/1.49 assert (zenon_L988_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp6)) -> (~(hskp22)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (ndr1_0) -> (~(hskp17)) -> False). % 1.33/1.49 do 0 intro. intros zenon_H123 zenon_H42 zenon_H146 zenon_H15f zenon_H15e zenon_H160 zenon_H222 zenon_H10b zenon_H10c zenon_H114 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Hf zenon_Ha. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10a | zenon_intro zenon_H124 ]. % 1.33/1.49 apply (zenon_L987_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H11f | zenon_intro zenon_Hb ]. % 1.33/1.49 apply (zenon_L385_); trivial. % 1.33/1.49 exact (zenon_Ha zenon_Hb). % 1.33/1.49 (* end of lemma zenon_L988_ *) % 1.33/1.49 assert (zenon_L989_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H127 zenon_H159 zenon_H155 zenon_H6e zenon_H6d zenon_H6c zenon_Hcc zenon_Hcb zenon_Hca zenon_H1eb zenon_H15f zenon_H15e zenon_H160 zenon_H42 zenon_H222 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_Ha zenon_H123. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H146 | zenon_intro zenon_H154 ]. % 1.33/1.49 apply (zenon_L988_); trivial. % 1.33/1.49 apply (zenon_L97_); trivial. % 1.33/1.49 (* end of lemma zenon_L989_ *) % 1.33/1.49 assert (zenon_L990_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (ndr1_0) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a604))) -> (c3_1 (a604)) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(c0_1 (a601))) -> (~(c2_1 (a601))) -> (~(c1_1 (a601))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H12c zenon_H159 zenon_H155 zenon_H15f zenon_H15e zenon_H160 zenon_H42 zenon_H222 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_Ha zenon_H123 zenon_H77 zenon_H40 zenon_H6e zenon_H6d zenon_H6c zenon_Hf zenon_H104 zenon_H90 zenon_H92 zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H102 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H257 zenon_H258 zenon_H259 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1eb zenon_H24f zenon_H8a. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.49 apply (zenon_L878_); trivial. % 1.33/1.49 apply (zenon_L989_); trivial. % 1.33/1.49 (* end of lemma zenon_L990_ *) % 1.33/1.49 assert (zenon_L991_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((hskp26)\/(hskp11)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H1bf zenon_H2f2 zenon_H198 zenon_H1e1 zenon_H8e zenon_H24f zenon_H1eb zenon_H102 zenon_H104 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H222 zenon_H155 zenon_H159 zenon_H12c zenon_H77 zenon_H85 zenon_H8a zenon_Hd5 zenon_H255 zenon_H242 zenon_H125 zenon_H42 zenon_H128 zenon_H254 zenon_H48 zenon_H40 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H31 zenon_H5 zenon_H5f zenon_H62 zenon_H66 zenon_H6a. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.33/1.49 apply (zenon_L106_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.33/1.49 apply (zenon_L872_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.33/1.49 apply (zenon_L866_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.33/1.49 apply (zenon_L899_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.33/1.49 apply (zenon_L115_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.33/1.49 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.33/1.49 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.49 apply (zenon_L990_); trivial. % 1.33/1.49 apply (zenon_L891_); trivial. % 1.33/1.49 (* end of lemma zenon_L991_ *) % 1.33/1.49 assert (zenon_L992_ : ((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp8)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp4)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((hskp4)\/(hskp14))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp10))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H19c zenon_H209 zenon_H19b zenon_H1bf zenon_H159 zenon_H155 zenon_H222 zenon_H42 zenon_Hd5 zenon_H48 zenon_H174 zenon_H66 zenon_H31 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H40 zenon_H255 zenon_H6a zenon_H1c8 zenon_H142 zenon_H17f zenon_H212 zenon_H217 zenon_H198. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.33/1.49 apply (zenon_L195_); trivial. % 1.33/1.49 apply (zenon_L905_); trivial. % 1.33/1.49 (* end of lemma zenon_L992_ *) % 1.33/1.49 assert (zenon_L993_ : ((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> False). % 1.33/1.49 do 0 intro. intros zenon_Hc2 zenon_H66 zenon_H174 zenon_H46 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140. % 1.33/1.49 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hf. zenon_intro zenon_Hc3. % 1.33/1.49 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H9e. zenon_intro zenon_Hc4. % 1.33/1.49 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H9f. zenon_intro zenon_Ha8. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.33/1.49 apply (zenon_L386_); trivial. % 1.33/1.49 apply (zenon_L871_); trivial. % 1.33/1.49 (* end of lemma zenon_L993_ *) % 1.33/1.49 assert (zenon_L994_ : ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> (~(hskp19)) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (ndr1_0) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> (~(hskp18)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> False). % 1.33/1.49 do 0 intro. intros zenon_Hbf zenon_H66 zenon_H174 zenon_H46 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H2be zenon_H23e zenon_H184 zenon_H186 zenon_H185 zenon_Hf zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H100 zenon_H102. % 1.33/1.49 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H99 | zenon_intro zenon_Hc2 ]. % 1.33/1.49 apply (zenon_L405_); trivial. % 1.33/1.49 apply (zenon_L993_); trivial. % 1.33/1.49 (* end of lemma zenon_L994_ *) % 1.33/1.49 assert (zenon_L995_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (ndr1_0) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H254 zenon_H144 zenon_H8 zenon_H142 zenon_H102 zenon_H100 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_Hf zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H46 zenon_H174 zenon_H66 zenon_Hbf. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H23e | zenon_intro zenon_H251 ]. % 1.33/1.49 apply (zenon_L994_); trivial. % 1.33/1.49 apply (zenon_L454_); trivial. % 1.33/1.49 (* end of lemma zenon_L995_ *) % 1.33/1.49 assert (zenon_L996_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (ndr1_0) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H198 zenon_H8e zenon_H254 zenon_H102 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H46 zenon_H174 zenon_H66 zenon_Hbf zenon_H123 zenon_H1eb zenon_H12c zenon_H192 zenon_Hcc zenon_Hcb zenon_Hca zenon_H186 zenon_H185 zenon_H184 zenon_Hf zenon_H142 zenon_H8 zenon_H144. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.33/1.49 apply (zenon_L124_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.49 apply (zenon_L995_); trivial. % 1.33/1.49 apply (zenon_L936_); trivial. % 1.33/1.49 apply (zenon_L886_); trivial. % 1.33/1.49 (* end of lemma zenon_L996_ *) % 1.33/1.49 assert (zenon_L997_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> (~(hskp15)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp22)) -> (~(hskp17)) -> ((hskp29)\/((hskp22)\/(hskp17))) -> (ndr1_0) -> (~(c1_1 (a623))) -> (~(c2_1 (a623))) -> (~(c3_1 (a623))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H66 zenon_H30 zenon_H102 zenon_H100 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H1c zenon_H1a zenon_H185 zenon_H186 zenon_H184 zenon_H83 zenon_H85 zenon_H146 zenon_Ha zenon_H148 zenon_Hf zenon_H9e zenon_H9f zenon_Ha8 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.33/1.49 apply (zenon_L386_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_Hf. zenon_intro zenon_H63. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H11. zenon_intro zenon_H64. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.33/1.49 apply (zenon_L93_); trivial. % 1.33/1.49 apply (zenon_L407_); trivial. % 1.33/1.49 (* end of lemma zenon_L997_ *) % 1.33/1.49 assert (zenon_L998_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c1_1 (a601))) -> (~(c2_1 (a601))) -> (~(c0_1 (a601))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a604))) -> (c3_1 (a604)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (ndr1_0) -> (~(hskp18)) -> False). % 1.33/1.49 do 0 intro. intros zenon_H24f zenon_Hcc zenon_Hcb zenon_Hca zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H259 zenon_H258 zenon_H257 zenon_H104 zenon_H90 zenon_H92 zenon_H102 zenon_H184 zenon_H186 zenon_H185 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_Hf zenon_H100. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.33/1.49 apply (zenon_L876_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.33/1.49 apply (zenon_L70_); trivial. % 1.33/1.49 apply (zenon_L498_); trivial. % 1.33/1.49 (* end of lemma zenon_L998_ *) % 1.33/1.49 assert (zenon_L999_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c1_1 (a601))) -> (~(c2_1 (a601))) -> (~(c0_1 (a601))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_Hc6 zenon_H8e zenon_H24f zenon_H185 zenon_H186 zenon_H184 zenon_H1eb zenon_Hcc zenon_Hcb zenon_Hca zenon_H259 zenon_H258 zenon_H257 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H102 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H104 zenon_H123 zenon_H142 zenon_H8 zenon_H144 zenon_H12c. % 1.33/1.49 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.33/1.49 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.33/1.49 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.49 apply (zenon_L998_); trivial. % 1.33/1.49 apply (zenon_L936_); trivial. % 1.33/1.49 apply (zenon_L886_); trivial. % 1.33/1.49 (* end of lemma zenon_L999_ *) % 1.33/1.49 assert (zenon_L1000_ : ((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((hskp29)\/((hskp22)\/(hskp17))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H1bc zenon_H2f2 zenon_H198 zenon_H1e1 zenon_H24f zenon_H104 zenon_H12c zenon_H1eb zenon_H123 zenon_Hbf zenon_H159 zenon_H155 zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H148 zenon_H85 zenon_H1a zenon_H1c zenon_H30 zenon_H66 zenon_H2be zenon_H102 zenon_H8e zenon_H192 zenon_Hcc zenon_Hcb zenon_Hca zenon_H186 zenon_H185 zenon_H184 zenon_H242 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H142 zenon_H8 zenon_H144 zenon_H254. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.33/1.49 apply (zenon_L873_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.33/1.49 apply (zenon_L124_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H23e | zenon_intro zenon_H251 ]. % 1.33/1.49 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H99 | zenon_intro zenon_Hc2 ]. % 1.33/1.49 apply (zenon_L405_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hf. zenon_intro zenon_Hc3. % 1.33/1.49 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H9e. zenon_intro zenon_Hc4. % 1.33/1.49 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H9f. zenon_intro zenon_Ha8. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H146 | zenon_intro zenon_H154 ]. % 1.33/1.49 apply (zenon_L997_); trivial. % 1.33/1.49 apply (zenon_L97_); trivial. % 1.33/1.49 apply (zenon_L454_); trivial. % 1.33/1.49 apply (zenon_L936_); trivial. % 1.33/1.49 apply (zenon_L886_); trivial. % 1.33/1.49 apply (zenon_L999_); trivial. % 1.33/1.49 (* end of lemma zenon_L1000_ *) % 1.33/1.49 assert (zenon_L1001_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (ndr1_0) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H12c zenon_H159 zenon_H155 zenon_H6e zenon_H6d zenon_H6c zenon_Hcc zenon_Hcb zenon_Hca zenon_H1eb zenon_H42 zenon_H222 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_Ha zenon_H123 zenon_H85 zenon_H83 zenon_H184 zenon_H186 zenon_H185 zenon_H160 zenon_H15f zenon_H15e zenon_Hf zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H102. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.49 apply (zenon_L487_); trivial. % 1.33/1.49 apply (zenon_L989_); trivial. % 1.33/1.49 (* end of lemma zenon_L1001_ *) % 1.33/1.49 assert (zenon_L1002_ : ((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H1bc zenon_H198 zenon_H159 zenon_H155 zenon_H176 zenon_H177 zenon_H178 zenon_H222 zenon_H42 zenon_H1c8 zenon_H192 zenon_Hcc zenon_Hcb zenon_Hca zenon_H186 zenon_H185 zenon_H184 zenon_H142 zenon_H8 zenon_H144. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.33/1.49 apply (zenon_L124_); trivial. % 1.33/1.49 apply (zenon_L903_); trivial. % 1.33/1.49 (* end of lemma zenon_L1002_ *) % 1.33/1.49 assert (zenon_L1003_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H197 zenon_H1bf zenon_H159 zenon_H155 zenon_H176 zenon_H177 zenon_H178 zenon_H222 zenon_H42 zenon_H1c8 zenon_H144 zenon_H8 zenon_H142 zenon_H184 zenon_H185 zenon_H186 zenon_H192 zenon_H12c zenon_H1eb zenon_H123 zenon_Hbf zenon_H66 zenon_H174 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H2be zenon_H102 zenon_H254 zenon_H8e zenon_H198. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.33/1.49 apply (zenon_L996_); trivial. % 1.33/1.49 apply (zenon_L1002_); trivial. % 1.33/1.49 (* end of lemma zenon_L1003_ *) % 1.33/1.49 assert (zenon_L1004_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (ndr1_0) -> (c0_1 (a678)) -> (c2_1 (a678)) -> (c3_1 (a678)) -> False). % 1.33/1.49 do 0 intro. intros zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H114 zenon_H10c zenon_H10b zenon_H10a zenon_Hf zenon_H1f zenon_H1d zenon_H1e. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1ec ]. % 1.33/1.49 apply (zenon_L864_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H18f ]. % 1.33/1.49 apply (zenon_L246_); trivial. % 1.33/1.49 apply (zenon_L173_); trivial. % 1.33/1.49 (* end of lemma zenon_L1004_ *) % 1.33/1.49 assert (zenon_L1005_ : ((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(hskp17)) -> False). % 1.33/1.49 do 0 intro. intros zenon_H32 zenon_H123 zenon_H10b zenon_H10c zenon_H114 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Ha. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hf. zenon_intro zenon_H33. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H1f. zenon_intro zenon_H34. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10a | zenon_intro zenon_H124 ]. % 1.33/1.49 apply (zenon_L1004_); trivial. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H11f | zenon_intro zenon_Hb ]. % 1.33/1.49 apply (zenon_L385_); trivial. % 1.33/1.49 exact (zenon_Ha zenon_Hb). % 1.33/1.49 (* end of lemma zenon_L1005_ *) % 1.33/1.49 assert (zenon_L1006_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H127 zenon_H30 zenon_H123 zenon_Ha zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H1e7 zenon_H83 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_H142 zenon_H1c8. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.33/1.49 apply (zenon_L172_); trivial. % 1.33/1.49 apply (zenon_L1005_); trivial. % 1.33/1.49 (* end of lemma zenon_L1006_ *) % 1.33/1.49 assert (zenon_L1007_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (ndr1_0) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H12c zenon_H30 zenon_H123 zenon_Ha zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H1e7 zenon_H83 zenon_H142 zenon_H1c8 zenon_Hf zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H40 zenon_H1b5. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.49 apply (zenon_L135_); trivial. % 1.33/1.49 apply (zenon_L1006_); trivial. % 1.33/1.49 (* end of lemma zenon_L1007_ *) % 1.33/1.49 assert (zenon_L1008_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(hskp18)) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (ndr1_0) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H30 zenon_H1eb zenon_H4d zenon_H4c zenon_H4b zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H28d zenon_H100 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hf zenon_H142 zenon_H1c8. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.33/1.49 apply (zenon_L294_); trivial. % 1.33/1.49 apply (zenon_L907_); trivial. % 1.33/1.49 (* end of lemma zenon_L1008_ *) % 1.33/1.49 assert (zenon_L1009_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> (~(hskp8)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H8b zenon_H12c zenon_H8a zenon_Hc0 zenon_Hcc zenon_Hcb zenon_Hca zenon_H1c zenon_H1a zenon_H24f zenon_H1ba zenon_H6c zenon_H6d zenon_H6e zenon_H40 zenon_H77 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.49 apply (zenon_L1008_); trivial. % 1.33/1.49 apply (zenon_L311_); trivial. % 1.33/1.49 (* end of lemma zenon_L1009_ *) % 1.33/1.49 assert (zenon_L1010_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c1_1 (a601))) -> (~(c2_1 (a601))) -> (~(c0_1 (a601))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> (~(hskp8)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_Hc6 zenon_H8e zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H30 zenon_H8a zenon_H24f zenon_H1eb zenon_Hcc zenon_Hcb zenon_Hca zenon_H259 zenon_H258 zenon_H257 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H102 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H104 zenon_H6c zenon_H6d zenon_H6e zenon_H40 zenon_H77 zenon_H1ba zenon_H123 zenon_H1c zenon_H1a zenon_Hc0 zenon_H12c. % 1.33/1.49 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.33/1.49 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.33/1.49 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.49 apply (zenon_L884_); trivial. % 1.33/1.49 apply (zenon_L1009_); trivial. % 1.33/1.49 (* end of lemma zenon_L1010_ *) % 1.33/1.49 assert (zenon_L1011_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (ndr1_0) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H8e zenon_H254 zenon_H24f zenon_H102 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_Hf zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H1c8 zenon_H142 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H1c3 zenon_H1a zenon_H1c zenon_Hc0 zenon_H66 zenon_Hbf zenon_H83 zenon_H1e7 zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H123 zenon_H30 zenon_H12c. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.49 apply (zenon_L500_); trivial. % 1.33/1.49 apply (zenon_L1006_); trivial. % 1.33/1.49 apply (zenon_L908_); trivial. % 1.33/1.49 (* end of lemma zenon_L1011_ *) % 1.33/1.49 assert (zenon_L1012_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H127 zenon_H207 zenon_H203 zenon_H92 zenon_H91 zenon_H90 zenon_H287 zenon_Hfb zenon_He4 zenon_Hd7 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H184 zenon_H185 zenon_H186 zenon_H125 zenon_H1f6 zenon_H1ba zenon_H6e zenon_H6d zenon_H6c zenon_H1a zenon_H1c zenon_Hc0 zenon_H66. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H202 ]. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.33/1.49 apply (zenon_L420_); trivial. % 1.33/1.49 apply (zenon_L138_); trivial. % 1.33/1.49 apply (zenon_L183_); trivial. % 1.33/1.49 (* end of lemma zenon_L1012_ *) % 1.33/1.49 assert (zenon_L1013_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (c1_1 (a604)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a604))) -> (c3_1 (a604)) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (ndr1_0) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(c0_1 (a601))) -> (~(c2_1 (a601))) -> (~(c1_1 (a601))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H12c zenon_H207 zenon_H203 zenon_H91 zenon_H287 zenon_Hfb zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H125 zenon_H1f6 zenon_H1ba zenon_H6e zenon_H6d zenon_H6c zenon_H1a zenon_H1c zenon_Hc0 zenon_H66 zenon_H104 zenon_H90 zenon_H92 zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H102 zenon_Hf zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H257 zenon_H258 zenon_H259 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1eb zenon_H184 zenon_H186 zenon_H185 zenon_H24f. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.49 apply (zenon_L998_); trivial. % 1.33/1.49 apply (zenon_L1012_); trivial. % 1.33/1.49 (* end of lemma zenon_L1013_ *) % 1.33/1.49 assert (zenon_L1014_ : ((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c1_1 (a651))) -> (~(c3_1 (a651))) -> (c2_1 (a651)) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H87 zenon_Hc0 zenon_H24f zenon_H1a zenon_H1c zenon_H1eb zenon_H114 zenon_H10c zenon_H10b zenon_H2eb zenon_H2ea zenon_H2e9 zenon_Ha zenon_H123 zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_H142 zenon_H1c8. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.33/1.49 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.33/1.49 apply (zenon_L447_); trivial. % 1.33/1.49 apply (zenon_L881_); trivial. % 1.33/1.49 (* end of lemma zenon_L1014_ *) % 1.33/1.49 assert (zenon_L1015_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c2_1 (a606))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(hskp9)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> False). % 1.33/1.49 do 0 intro. intros zenon_H127 zenon_H1e0 zenon_H8a zenon_Hc0 zenon_H24f zenon_H1a zenon_H1c zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_Ha zenon_H123 zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_H142 zenon_H1c8 zenon_H155 zenon_H6e zenon_H6d zenon_H6c zenon_Hcc zenon_Hcb zenon_Hca zenon_H285 zenon_H12e zenon_H12f zenon_H130 zenon_H5f zenon_H1d2. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ]. % 1.33/1.49 apply (zenon_L156_); trivial. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_Hf. zenon_intro zenon_H1de. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d6. zenon_intro zenon_H1df. % 1.33/1.49 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.33/1.49 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.33/1.49 apply (zenon_L456_); trivial. % 1.33/1.49 apply (zenon_L1014_); trivial. % 1.33/1.49 (* end of lemma zenon_L1015_ *) % 1.33/1.49 assert (zenon_L1016_ : ((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (c0_1 (a611)) -> (c1_1 (a611)) -> (c3_1 (a611)) -> False). % 1.33/1.50 do 0 intro. intros zenon_Hbc zenon_H24f zenon_Hcc zenon_Hcb zenon_Hca zenon_H4b zenon_H4c zenon_H4d zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H1a zenon_H1c zenon_H7a zenon_H7b zenon_H7c. % 1.33/1.50 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.33/1.50 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.33/1.50 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.33/1.50 apply (zenon_L885_); trivial. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.33/1.50 apply (zenon_L306_); trivial. % 1.33/1.50 apply (zenon_L31_); trivial. % 1.33/1.50 (* end of lemma zenon_L1016_ *) % 1.33/1.50 assert (zenon_L1017_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H8b zenon_H12c zenon_H8a zenon_Hc0 zenon_H24f zenon_H1a zenon_H1c zenon_H1ba zenon_H155 zenon_H6e zenon_H6d zenon_H6c zenon_Hcc zenon_Hcb zenon_Hca zenon_H12f zenon_H130 zenon_H12e zenon_H285 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.50 apply (zenon_L1008_); trivial. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.33/1.50 apply (zenon_L456_); trivial. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.33/1.50 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.33/1.50 apply (zenon_L137_); trivial. % 1.33/1.50 apply (zenon_L1016_); trivial. % 1.33/1.50 (* end of lemma zenon_L1017_ *) % 1.33/1.50 assert (zenon_L1018_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (ndr1_0) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H8e zenon_H30 zenon_H192 zenon_Hd3 zenon_H186 zenon_H185 zenon_H184 zenon_H28d zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hf zenon_H142 zenon_H1c8 zenon_H83 zenon_H1e7 zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H12c. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.50 apply (zenon_L505_); trivial. % 1.33/1.50 apply (zenon_L1006_); trivial. % 1.33/1.50 apply (zenon_L908_); trivial. % 1.33/1.50 (* end of lemma zenon_L1018_ *) % 1.33/1.50 assert (zenon_L1019_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp24)) -> (~(hskp5)) -> (c0_1 (a598)) -> (c3_1 (a598)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (ndr1_0) -> (~(hskp17)) -> False). % 1.33/1.50 do 0 intro. intros zenon_H123 zenon_H1f4 zenon_H125 zenon_H15f zenon_H160 zenon_H1f6 zenon_H10b zenon_H10c zenon_H114 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Hf zenon_Ha. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10a | zenon_intro zenon_H124 ]. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1ec ]. % 1.33/1.50 apply (zenon_L864_); trivial. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H18f ]. % 1.33/1.50 apply (zenon_L246_); trivial. % 1.33/1.50 apply (zenon_L181_); trivial. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H11f | zenon_intro zenon_Hb ]. % 1.33/1.50 apply (zenon_L385_); trivial. % 1.33/1.50 exact (zenon_Ha zenon_Hb). % 1.33/1.50 (* end of lemma zenon_L1019_ *) % 1.33/1.50 assert (zenon_L1020_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H127 zenon_H207 zenon_H203 zenon_Hfb zenon_H92 zenon_H91 zenon_H90 zenon_H1eb zenon_H15f zenon_H160 zenon_H125 zenon_H1f6 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_Ha zenon_H123. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H202 ]. % 1.33/1.50 apply (zenon_L1019_); trivial. % 1.33/1.50 apply (zenon_L183_); trivial. % 1.33/1.50 (* end of lemma zenon_L1020_ *) % 1.33/1.50 assert (zenon_L1021_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (ndr1_0) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (c3_1 (a598)) -> (c0_1 (a598)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (~(hskp16)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H8e zenon_H30 zenon_H192 zenon_Hd3 zenon_H186 zenon_H185 zenon_H184 zenon_H28d zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hf zenon_H142 zenon_H1c8 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1f6 zenon_H125 zenon_H160 zenon_H15f zenon_H1eb zenon_H90 zenon_H91 zenon_H92 zenon_Hfb zenon_H203 zenon_H207 zenon_H12c. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.50 apply (zenon_L505_); trivial. % 1.33/1.50 apply (zenon_L1020_); trivial. % 1.33/1.50 apply (zenon_L910_); trivial. % 1.33/1.50 (* end of lemma zenon_L1021_ *) % 1.33/1.50 assert (zenon_L1022_ : ((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H87 zenon_Hc0 zenon_H24f zenon_H46 zenon_H174 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H4b zenon_H4c zenon_H4d zenon_H1eb zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H142 zenon_H1c8. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.33/1.50 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.33/1.50 apply (zenon_L146_); trivial. % 1.33/1.50 apply (zenon_L916_); trivial. % 1.33/1.50 (* end of lemma zenon_L1022_ *) % 1.33/1.50 assert (zenon_L1023_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H8b zenon_H12c zenon_H8a zenon_Hc0 zenon_H24f zenon_H46 zenon_H174 zenon_H1c3 zenon_Hcc zenon_Hcb zenon_Hca zenon_H285 zenon_H12f zenon_H130 zenon_H12e zenon_H90 zenon_H91 zenon_H92 zenon_H160 zenon_H15e zenon_H15f zenon_H106 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.50 apply (zenon_L1008_); trivial. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.33/1.50 apply (zenon_L953_); trivial. % 1.33/1.50 apply (zenon_L1022_); trivial. % 1.33/1.50 (* end of lemma zenon_L1023_ *) % 1.33/1.50 assert (zenon_L1024_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c1_1 (a598))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp4)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp14)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_Hc6 zenon_H13b zenon_H8a zenon_Hc0 zenon_H24f zenon_H46 zenon_H174 zenon_H1c3 zenon_Hcc zenon_Hcb zenon_Hca zenon_H285 zenon_H15e zenon_H106 zenon_H17f zenon_H289 zenon_H12c zenon_H207 zenon_H203 zenon_H1eb zenon_H15f zenon_H160 zenon_H125 zenon_H1f6 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H184 zenon_H185 zenon_H186 zenon_Hd3 zenon_H192 zenon_H30 zenon_H8e. % 1.33/1.50 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.33/1.50 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.33/1.50 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.33/1.50 apply (zenon_L1021_); trivial. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.50 apply (zenon_L505_); trivial. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H202 ]. % 1.33/1.50 apply (zenon_L1019_); trivial. % 1.33/1.50 apply (zenon_L287_); trivial. % 1.33/1.50 apply (zenon_L1023_); trivial. % 1.33/1.50 (* end of lemma zenon_L1024_ *) % 1.33/1.50 assert (zenon_L1025_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (ndr1_0) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H12c zenon_H30 zenon_H123 zenon_Ha zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H1e7 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_H142 zenon_H1c8 zenon_H85 zenon_H83 zenon_H184 zenon_H186 zenon_H185 zenon_H160 zenon_H15f zenon_H15e zenon_Hf zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H102. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.50 apply (zenon_L487_); trivial. % 1.33/1.50 apply (zenon_L1006_); trivial. % 1.33/1.50 (* end of lemma zenon_L1025_ *) % 1.33/1.50 assert (zenon_L1026_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (ndr1_0) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> (~(hskp15)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H8e zenon_H102 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_Hf zenon_H15e zenon_H15f zenon_H160 zenon_H185 zenon_H186 zenon_H184 zenon_H83 zenon_H85 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H1e7 zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H30 zenon_H12c. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.50 apply (zenon_L1025_); trivial. % 1.33/1.50 apply (zenon_L908_); trivial. % 1.33/1.50 (* end of lemma zenon_L1026_ *) % 1.33/1.50 assert (zenon_L1027_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp24)) -> (~(hskp5)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (ndr1_0) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H66 zenon_H174 zenon_H46 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H1f6 zenon_H1f4 zenon_H125 zenon_H186 zenon_H185 zenon_H184 zenon_Hf zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Hd7 zenon_He4 zenon_Hfb zenon_H287. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.33/1.50 apply (zenon_L420_); trivial. % 1.33/1.50 apply (zenon_L871_); trivial. % 1.33/1.50 (* end of lemma zenon_L1027_ *) % 1.33/1.50 assert (zenon_L1028_ : ((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c2_1 (a617)) -> (~(c1_1 (a617))) -> (~(c0_1 (a617))) -> (~(hskp12)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (~(hskp18)) -> False). % 1.33/1.50 do 0 intro. intros zenon_Hbc zenon_H24f zenon_H248 zenon_H247 zenon_H246 zenon_H46 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H102 zenon_H184 zenon_H186 zenon_H185 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H100. % 1.33/1.50 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.33/1.50 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.33/1.50 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.33/1.50 apply (zenon_L227_); trivial. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.33/1.50 apply (zenon_L913_); trivial. % 1.33/1.50 apply (zenon_L498_); trivial. % 1.33/1.50 (* end of lemma zenon_L1028_ *) % 1.33/1.50 assert (zenon_L1029_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (ndr1_0) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H254 zenon_Hc0 zenon_H24f zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H142 zenon_H1c8 zenon_H102 zenon_H100 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_Hf zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H46 zenon_H174 zenon_H66 zenon_Hbf. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H23e | zenon_intro zenon_H251 ]. % 1.33/1.50 apply (zenon_L994_); trivial. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_Hf. zenon_intro zenon_H252. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H248. zenon_intro zenon_H253. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H246. zenon_intro zenon_H247. % 1.33/1.50 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.33/1.50 apply (zenon_L146_); trivial. % 1.33/1.50 apply (zenon_L1028_); trivial. % 1.33/1.50 (* end of lemma zenon_L1029_ *) % 1.33/1.50 assert (zenon_L1030_ : ((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp17)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (c3_1 (a599)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp12)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c0_1 (a611)) -> (c1_1 (a611)) -> (c3_1 (a611)) -> False). % 1.33/1.50 do 0 intro. intros zenon_Hbc zenon_H24f zenon_Ha zenon_Hca zenon_Hcb zenon_H1eb zenon_H114 zenon_H10c zenon_H10b zenon_Hcc zenon_H123 zenon_H46 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H7a zenon_H7b zenon_H7c. % 1.33/1.50 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.33/1.50 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.33/1.50 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.33/1.50 apply (zenon_L880_); trivial. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.33/1.50 apply (zenon_L913_); trivial. % 1.33/1.50 apply (zenon_L31_); trivial. % 1.33/1.50 (* end of lemma zenon_L1030_ *) % 1.33/1.50 assert (zenon_L1031_ : ((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H1dd zenon_H8a zenon_H24f zenon_H1eb zenon_Ha zenon_H123 zenon_H1c8 zenon_H142 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H1c3 zenon_H285 zenon_H12f zenon_H130 zenon_H12e zenon_H114 zenon_H10c zenon_H10b zenon_H174 zenon_H46 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H104 zenon_Hc0. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_Hf. zenon_intro zenon_H1de. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d6. zenon_intro zenon_H1df. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.33/1.50 apply (zenon_L915_); trivial. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.33/1.50 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.33/1.50 apply (zenon_L447_); trivial. % 1.33/1.50 apply (zenon_L1030_); trivial. % 1.33/1.50 (* end of lemma zenon_L1031_ *) % 1.33/1.50 assert (zenon_L1032_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c2_1 (a606))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(hskp9)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (ndr1_0) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H12c zenon_H1e0 zenon_H8a zenon_H1eb zenon_Ha zenon_H123 zenon_H285 zenon_H104 zenon_H12e zenon_H12f zenon_H130 zenon_H5f zenon_H1d2 zenon_Hbf zenon_H66 zenon_H174 zenon_H46 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H2be zenon_H184 zenon_H186 zenon_H185 zenon_Hf zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H102 zenon_H1c8 zenon_H142 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H1c3 zenon_H24f zenon_Hc0 zenon_H254. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.50 apply (zenon_L1029_); trivial. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ]. % 1.33/1.50 apply (zenon_L156_); trivial. % 1.33/1.50 apply (zenon_L1031_); trivial. % 1.33/1.50 (* end of lemma zenon_L1032_ *) % 1.33/1.50 assert (zenon_L1033_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H137 zenon_H8e zenon_H28d zenon_H30 zenon_H254 zenon_Hc0 zenon_H24f zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H142 zenon_H1c8 zenon_H102 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H46 zenon_H174 zenon_H66 zenon_Hbf zenon_H1d2 zenon_H5f zenon_H104 zenon_H285 zenon_H123 zenon_H1eb zenon_H8a zenon_H1e0 zenon_H12c. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.50 apply (zenon_L1032_); trivial. % 1.33/1.50 apply (zenon_L919_); trivial. % 1.33/1.50 (* end of lemma zenon_L1033_ *) % 1.33/1.50 assert (zenon_L1034_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_Hc6 zenon_H13b zenon_H8e zenon_H28d zenon_H30 zenon_H254 zenon_Hc0 zenon_H24f zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H142 zenon_H1c8 zenon_H102 zenon_Hd8 zenon_H2be zenon_Hbf zenon_H1d2 zenon_H5f zenon_H104 zenon_H285 zenon_H123 zenon_H1eb zenon_H8a zenon_H1e0 zenon_H12c zenon_H66 zenon_H174 zenon_H46 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H1f6 zenon_H125 zenon_H186 zenon_H185 zenon_H184 zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Hd7 zenon_He4 zenon_H287 zenon_H203 zenon_H207. % 1.33/1.50 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.33/1.50 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.33/1.50 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H202 ]. % 1.33/1.50 apply (zenon_L1027_); trivial. % 1.33/1.50 apply (zenon_L183_); trivial. % 1.33/1.50 apply (zenon_L1033_); trivial. % 1.33/1.50 (* end of lemma zenon_L1034_ *) % 1.33/1.50 assert (zenon_L1035_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (ndr1_0) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp14)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H12c zenon_H159 zenon_H155 zenon_H6e zenon_H6d zenon_H6c zenon_Hcc zenon_Hcb zenon_Hca zenon_H1eb zenon_H15f zenon_H15e zenon_H160 zenon_H42 zenon_H222 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_Ha zenon_H123 zenon_H1c8 zenon_H142 zenon_Hf zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H184 zenon_H185 zenon_H186 zenon_Hd3 zenon_H192 zenon_H30. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.50 apply (zenon_L505_); trivial. % 1.33/1.50 apply (zenon_L989_); trivial. % 1.33/1.50 (* end of lemma zenon_L1035_ *) % 1.33/1.50 assert (zenon_L1036_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (ndr1_0) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H8e zenon_H30 zenon_H192 zenon_Hd3 zenon_H186 zenon_H185 zenon_H184 zenon_H28d zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hf zenon_H142 zenon_H1c8 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H222 zenon_H42 zenon_H160 zenon_H15e zenon_H15f zenon_H1eb zenon_Hca zenon_Hcb zenon_Hcc zenon_H6c zenon_H6d zenon_H6e zenon_H155 zenon_H159 zenon_H12c. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.50 apply (zenon_L1035_); trivial. % 1.33/1.50 apply (zenon_L891_); trivial. % 1.33/1.50 (* end of lemma zenon_L1036_ *) % 1.33/1.50 assert (zenon_L1037_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (ndr1_0) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (c3_1 (a604)) -> (~(c0_1 (a604))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H12c zenon_H159 zenon_H1eb zenon_H15f zenon_H15e zenon_H160 zenon_H42 zenon_H222 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_Ha zenon_H123 zenon_H155 zenon_H6e zenon_H6d zenon_H6c zenon_Hcc zenon_Hcb zenon_Hca zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_Hf zenon_H102 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H92 zenon_H90 zenon_H184 zenon_H186 zenon_H185 zenon_H24f. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.50 apply (zenon_L525_); trivial. % 1.33/1.50 apply (zenon_L989_); trivial. % 1.33/1.50 (* end of lemma zenon_L1037_ *) % 1.33/1.50 assert (zenon_L1038_ : ((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (~(hskp10)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (c2_1 (a600)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp2)) -> False). % 1.33/1.50 do 0 intro. intros zenon_Hbc zenon_H1c8 zenon_H178 zenon_H177 zenon_H176 zenon_H1a zenon_H6d zenon_H6c zenon_H6e zenon_H1c zenon_H142. % 1.33/1.50 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.33/1.50 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.33/1.50 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1c9 ]. % 1.33/1.50 apply (zenon_L116_); trivial. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H143 ]. % 1.33/1.50 apply (zenon_L309_); trivial. % 1.33/1.50 exact (zenon_H142 zenon_H143). % 1.33/1.50 (* end of lemma zenon_L1038_ *) % 1.33/1.50 assert (zenon_L1039_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H127 zenon_Hc0 zenon_H1c8 zenon_H142 zenon_H1a zenon_H1c zenon_H178 zenon_H177 zenon_H176 zenon_H6c zenon_H6d zenon_H6e zenon_H1ba. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.33/1.50 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.33/1.50 apply (zenon_L137_); trivial. % 1.33/1.50 apply (zenon_L1038_); trivial. % 1.33/1.50 (* end of lemma zenon_L1039_ *) % 1.33/1.50 assert (zenon_L1040_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (ndr1_0) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp14)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H12c zenon_Hc0 zenon_H1a zenon_H1c zenon_H178 zenon_H177 zenon_H176 zenon_H6c zenon_H6d zenon_H6e zenon_H1ba zenon_H1c8 zenon_H142 zenon_Hf zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H184 zenon_H185 zenon_H186 zenon_Hd3 zenon_H192 zenon_H30. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.50 apply (zenon_L505_); trivial. % 1.33/1.50 apply (zenon_L1039_); trivial. % 1.33/1.50 (* end of lemma zenon_L1040_ *) % 1.33/1.50 assert (zenon_L1041_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (~(hskp4)) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H197 zenon_H1bf zenon_H198 zenon_H159 zenon_H155 zenon_H222 zenon_H42 zenon_H30 zenon_H192 zenon_H186 zenon_H185 zenon_H184 zenon_H28d zenon_H1ba zenon_H176 zenon_H177 zenon_H178 zenon_H1c zenon_H12c zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H1c3 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1e5 zenon_H17f zenon_H1a zenon_H174 zenon_Hc0. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.33/1.50 apply (zenon_L898_); trivial. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.33/1.50 apply (zenon_L1040_); trivial. % 1.33/1.50 apply (zenon_L903_); trivial. % 1.33/1.50 (* end of lemma zenon_L1041_ *) % 1.33/1.50 assert (zenon_L1042_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(c0_1 (a601))) -> (~(c2_1 (a601))) -> (~(c1_1 (a601))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (ndr1_0) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H8e zenon_H30 zenon_H2ab zenon_H3 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H257 zenon_H258 zenon_H259 zenon_H1eb zenon_H28d zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hf zenon_H142 zenon_H1c8 zenon_H83 zenon_H1e7 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H12c. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.50 apply (zenon_L894_); trivial. % 1.33/1.50 apply (zenon_L1006_); trivial. % 1.33/1.50 apply (zenon_L908_); trivial. % 1.33/1.50 (* end of lemma zenon_L1042_ *) % 1.33/1.50 assert (zenon_L1043_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c0_1 (a595))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (ndr1_0) -> (~(hskp11)) -> False). % 1.33/1.50 do 0 intro. intros zenon_H106 zenon_H92 zenon_H91 zenon_H90 zenon_H2ab zenon_H178 zenon_H177 zenon_H119 zenon_H176 zenon_H160 zenon_H15e zenon_H15f zenon_Hf zenon_H3. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H108 ]. % 1.33/1.50 apply (zenon_L343_); trivial. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H8f | zenon_intro zenon_H9d ]. % 1.33/1.50 apply (zenon_L39_); trivial. % 1.33/1.50 apply (zenon_L344_); trivial. % 1.33/1.50 (* end of lemma zenon_L1043_ *) % 1.33/1.50 assert (zenon_L1044_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp11)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp5)) -> (~(hskp6)) -> False). % 1.33/1.50 do 0 intro. intros zenon_Hc6 zenon_H128 zenon_H3 zenon_H15f zenon_H15e zenon_H160 zenon_H176 zenon_H177 zenon_H178 zenon_H2ab zenon_H106 zenon_H125 zenon_H42. % 1.33/1.50 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.33/1.50 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.33/1.50 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H119 | zenon_intro zenon_H12b ]. % 1.33/1.50 apply (zenon_L1043_); trivial. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H126 | zenon_intro zenon_H43 ]. % 1.33/1.50 exact (zenon_H125 zenon_H126). % 1.33/1.50 exact (zenon_H42 zenon_H43). % 1.33/1.50 (* end of lemma zenon_L1044_ *) % 1.33/1.50 assert (zenon_L1045_ : ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (ndr1_0) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H2f2 zenon_H1e1 zenon_H176 zenon_H177 zenon_H178 zenon_H160 zenon_H15e zenon_H15f zenon_H106 zenon_H12c zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H1e7 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H1eb zenon_H3 zenon_H2ab zenon_H30 zenon_H8e zenon_H242 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_Hf zenon_H125 zenon_H42 zenon_H128 zenon_H254. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.33/1.50 apply (zenon_L866_); trivial. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.33/1.50 apply (zenon_L1042_); trivial. % 1.33/1.50 apply (zenon_L1044_); trivial. % 1.33/1.50 (* end of lemma zenon_L1045_ *) % 1.33/1.50 assert (zenon_L1046_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(hskp11)) -> ((hskp26)\/(hskp11)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H194 zenon_H12c zenon_H66 zenon_Hc0 zenon_H1c zenon_H1a zenon_H6c zenon_H6d zenon_H6e zenon_H1ba zenon_H3 zenon_H5 zenon_H242 zenon_H240 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H22b zenon_H22c zenon_H237 zenon_H102 zenon_H184 zenon_H186 zenon_H185 zenon_H24f zenon_H254. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.50 apply (zenon_L935_); trivial. % 1.33/1.50 apply (zenon_L139_); trivial. % 1.33/1.50 (* end of lemma zenon_L1046_ *) % 1.33/1.50 assert (zenon_L1047_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (ndr1_0) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H8e zenon_H24f zenon_H185 zenon_H186 zenon_H184 zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H102 zenon_H237 zenon_H22c zenon_H22b zenon_Hf zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_Hca zenon_Hcb zenon_Hcc zenon_H6c zenon_H6d zenon_H6e zenon_H155 zenon_H1c8 zenon_H142 zenon_H83 zenon_H1e7 zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H30 zenon_H12c. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.50 apply (zenon_L560_); trivial. % 1.33/1.50 apply (zenon_L1006_); trivial. % 1.33/1.50 apply (zenon_L908_); trivial. % 1.33/1.50 (* end of lemma zenon_L1047_ *) % 1.33/1.50 assert (zenon_L1048_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H127 zenon_H8a zenon_H24f zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_Ha zenon_H123 zenon_H285 zenon_H12f zenon_H130 zenon_H12e zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.33/1.50 apply (zenon_L368_); trivial. % 1.33/1.50 apply (zenon_L963_); trivial. % 1.33/1.50 (* end of lemma zenon_L1048_ *) % 1.33/1.50 assert (zenon_L1049_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (ndr1_0) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H12c zenon_H8a zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_Ha zenon_H123 zenon_H285 zenon_H12f zenon_H130 zenon_H12e zenon_H104 zenon_H155 zenon_H6e zenon_H6d zenon_H6c zenon_Hcc zenon_Hcb zenon_Hca zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_Hf zenon_H22b zenon_H22c zenon_H237 zenon_H102 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H184 zenon_H186 zenon_H185 zenon_H24f. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.50 apply (zenon_L560_); trivial. % 1.33/1.50 apply (zenon_L1048_); trivial. % 1.33/1.50 (* end of lemma zenon_L1049_ *) % 1.33/1.50 assert (zenon_L1050_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H127 zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H4b zenon_H4c zenon_H4d zenon_H1eb zenon_H155 zenon_H6e zenon_H6d zenon_H6c zenon_Hcc zenon_Hcb zenon_Hca zenon_H12f zenon_H130 zenon_H12e zenon_H285. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.33/1.50 apply (zenon_L456_); trivial. % 1.33/1.50 apply (zenon_L954_); trivial. % 1.33/1.50 (* end of lemma zenon_L1050_ *) % 1.33/1.50 assert (zenon_L1051_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H8b zenon_H12c zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H155 zenon_H6e zenon_H6d zenon_H6c zenon_Hcc zenon_Hcb zenon_Hca zenon_H12f zenon_H130 zenon_H12e zenon_H285 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.50 apply (zenon_L1008_); trivial. % 1.33/1.50 apply (zenon_L1050_); trivial. % 1.33/1.50 (* end of lemma zenon_L1051_ *) % 1.33/1.50 assert (zenon_L1052_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H137 zenon_H8e zenon_H1c8 zenon_H142 zenon_H28d zenon_H30 zenon_H24f zenon_H185 zenon_H186 zenon_H184 zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H102 zenon_H237 zenon_H22c zenon_H22b zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_Hca zenon_Hcb zenon_Hcc zenon_H6c zenon_H6d zenon_H6e zenon_H155 zenon_H104 zenon_H285 zenon_H123 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H8a zenon_H12c. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.50 apply (zenon_L1049_); trivial. % 1.33/1.50 apply (zenon_L1051_); trivial. % 1.33/1.50 (* end of lemma zenon_L1052_ *) % 1.33/1.50 assert (zenon_L1053_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> (~(hskp13)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H194 zenon_H1e1 zenon_H13b zenon_H28d zenon_H104 zenon_H285 zenon_H8a zenon_H254 zenon_H240 zenon_H242 zenon_H66 zenon_Hc0 zenon_H1c zenon_H1a zenon_H1ba zenon_H1f6 zenon_H125 zenon_H140 zenon_H287 zenon_H203 zenon_H207 zenon_H12c zenon_H30 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H1e7 zenon_H142 zenon_H1c8 zenon_H155 zenon_H6e zenon_H6d zenon_H6c zenon_Hcc zenon_Hcb zenon_Hca zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H22b zenon_H22c zenon_H237 zenon_H102 zenon_H184 zenon_H186 zenon_H185 zenon_H24f zenon_H8e. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.33/1.50 apply (zenon_L1047_); trivial. % 1.33/1.50 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.33/1.50 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.33/1.50 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.50 apply (zenon_L935_); trivial. % 1.33/1.50 apply (zenon_L1012_); trivial. % 1.33/1.50 apply (zenon_L1052_); trivial. % 1.33/1.50 (* end of lemma zenon_L1053_ *) % 1.33/1.50 assert (zenon_L1054_ : ((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(hskp18)) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H1dd zenon_H30 zenon_H192 zenon_Hd3 zenon_H186 zenon_H185 zenon_H184 zenon_H28d zenon_H100 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_H142 zenon_H1c8. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_Hf. zenon_intro zenon_H1de. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d6. zenon_intro zenon_H1df. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.33/1.50 apply (zenon_L464_); trivial. % 1.33/1.50 apply (zenon_L201_); trivial. % 1.33/1.50 (* end of lemma zenon_L1054_ *) % 1.33/1.50 assert (zenon_L1055_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(hskp18)) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (ndr1_0) -> (~(c2_1 (a606))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(hskp9)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H1e0 zenon_H30 zenon_H192 zenon_Hd3 zenon_H186 zenon_H185 zenon_H184 zenon_H28d zenon_H100 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_H142 zenon_H1c8 zenon_Hf zenon_H12e zenon_H12f zenon_H130 zenon_H5f zenon_H1d2. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ]. % 1.33/1.50 apply (zenon_L156_); trivial. % 1.33/1.50 apply (zenon_L1054_); trivial. % 1.33/1.50 (* end of lemma zenon_L1055_ *) % 1.33/1.50 assert (zenon_L1056_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> (~(c2_1 (a606))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp14)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H12c zenon_H8a zenon_H24f zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_Ha zenon_H123 zenon_H285 zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H1d2 zenon_H5f zenon_H130 zenon_H12f zenon_H12e zenon_Hf zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H184 zenon_H185 zenon_H186 zenon_Hd3 zenon_H192 zenon_H30 zenon_H1e0. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.50 apply (zenon_L1055_); trivial. % 1.33/1.50 apply (zenon_L1048_); trivial. % 1.33/1.50 (* end of lemma zenon_L1056_ *) % 1.33/1.50 assert (zenon_L1057_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> (~(c1_1 (a598))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> (~(hskp9)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp14)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_Hc6 zenon_H13b zenon_H15e zenon_H106 zenon_H1e0 zenon_H5f zenon_H1d2 zenon_H104 zenon_Hcc zenon_Hcb zenon_Hca zenon_H237 zenon_H22c zenon_H22b zenon_H285 zenon_H24f zenon_H8a zenon_H12c zenon_H207 zenon_H203 zenon_H1eb zenon_H15f zenon_H160 zenon_H125 zenon_H1f6 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H184 zenon_H185 zenon_H186 zenon_Hd3 zenon_H192 zenon_H30 zenon_H8e. % 1.33/1.50 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.33/1.50 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.33/1.50 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.33/1.50 apply (zenon_L1021_); trivial. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.50 apply (zenon_L1056_); trivial. % 1.33/1.50 apply (zenon_L956_); trivial. % 1.33/1.50 (* end of lemma zenon_L1057_ *) % 1.33/1.50 assert (zenon_L1058_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> (~(c1_1 (a598))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> (~(hskp9)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (ndr1_0) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp14)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H1e1 zenon_H13b zenon_H15e zenon_H106 zenon_H1e0 zenon_H5f zenon_H1d2 zenon_H104 zenon_Hcc zenon_Hcb zenon_Hca zenon_H237 zenon_H22c zenon_H22b zenon_H285 zenon_H24f zenon_H8a zenon_H207 zenon_H203 zenon_H15f zenon_H160 zenon_H125 zenon_H1f6 zenon_H12c zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H1e7 zenon_H1c8 zenon_H142 zenon_Hf zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H184 zenon_H185 zenon_H186 zenon_Hd3 zenon_H192 zenon_H30 zenon_H8e. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.33/1.50 apply (zenon_L1018_); trivial. % 1.33/1.50 apply (zenon_L1057_); trivial. % 1.33/1.50 (* end of lemma zenon_L1058_ *) % 1.33/1.50 assert (zenon_L1059_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (ndr1_0) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp13)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H8e zenon_H254 zenon_H24f zenon_H185 zenon_H186 zenon_H184 zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H102 zenon_H237 zenon_H22c zenon_H22b zenon_Hf zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H240 zenon_H242 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H83 zenon_H1e7 zenon_H1eb zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H30 zenon_H12c. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.50 apply (zenon_L935_); trivial. % 1.33/1.50 apply (zenon_L1006_); trivial. % 1.33/1.50 apply (zenon_L908_); trivial. % 1.33/1.50 (* end of lemma zenon_L1059_ *) % 1.33/1.50 assert (zenon_L1060_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H194 zenon_H1e1 zenon_H13b zenon_H28d zenon_Hc0 zenon_H1c3 zenon_Hcc zenon_Hcb zenon_Hca zenon_H2be zenon_Hbf zenon_H1d2 zenon_H5f zenon_H104 zenon_H285 zenon_H8a zenon_H1e0 zenon_H66 zenon_H174 zenon_H46 zenon_H1f6 zenon_H125 zenon_H140 zenon_H287 zenon_H203 zenon_H207 zenon_H12c zenon_H30 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H1eb zenon_H1e7 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_H142 zenon_H1c8 zenon_H242 zenon_H240 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H22b zenon_H22c zenon_H237 zenon_H102 zenon_H184 zenon_H186 zenon_H185 zenon_H24f zenon_H254 zenon_H8e. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.33/1.50 apply (zenon_L1059_); trivial. % 1.33/1.50 apply (zenon_L1034_); trivial. % 1.33/1.50 (* end of lemma zenon_L1060_ *) % 1.33/1.50 assert (zenon_L1061_ : ((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a601))) -> (~(c2_1 (a601))) -> (~(c1_1 (a601))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> False). % 1.33/1.50 do 0 intro. intros zenon_H32 zenon_H104 zenon_H257 zenon_H258 zenon_H259 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H237 zenon_H22c zenon_H22b zenon_Hca zenon_Hcb zenon_Hcc. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hf. zenon_intro zenon_H33. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H1f. zenon_intro zenon_H34. % 1.33/1.50 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H105 ]. % 1.33/1.50 apply (zenon_L867_); trivial. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hec | zenon_intro zenon_Hc9 ]. % 1.33/1.50 apply (zenon_L226_); trivial. % 1.33/1.50 apply (zenon_L51_); trivial. % 1.33/1.50 (* end of lemma zenon_L1061_ *) % 1.33/1.50 assert (zenon_L1062_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(c0_1 (a601))) -> (~(c2_1 (a601))) -> (~(c1_1 (a601))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (ndr1_0) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> False). % 1.33/1.50 do 0 intro. intros zenon_H30 zenon_H104 zenon_Hcc zenon_Hcb zenon_Hca zenon_H237 zenon_H22c zenon_H22b zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H257 zenon_H258 zenon_H259 zenon_H1eb zenon_H1e7 zenon_H83 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hf zenon_H142 zenon_H1c8. % 1.33/1.50 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.33/1.50 apply (zenon_L172_); trivial. % 1.33/1.50 apply (zenon_L1061_); trivial. % 1.33/1.50 (* end of lemma zenon_L1062_ *) % 1.33/1.50 assert (zenon_L1063_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> (~(c1_1 (a598))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> (~(hskp9)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp14)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (ndr1_0) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c1_1 (a601))) -> (~(c2_1 (a601))) -> (~(c0_1 (a601))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H1e1 zenon_H13b zenon_H15e zenon_H106 zenon_H1e0 zenon_H5f zenon_H1d2 zenon_H285 zenon_H24f zenon_H8a zenon_H12c zenon_H207 zenon_H203 zenon_H15f zenon_H160 zenon_H125 zenon_H1f6 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H28d zenon_H184 zenon_H185 zenon_H186 zenon_Hd3 zenon_H192 zenon_H8e zenon_H1c8 zenon_H142 zenon_Hf zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H1e7 zenon_H1eb zenon_H259 zenon_H258 zenon_H257 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H30. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.33/1.51 apply (zenon_L1062_); trivial. % 1.33/1.51 apply (zenon_L1057_); trivial. % 1.33/1.51 (* end of lemma zenon_L1063_ *) % 1.33/1.51 assert (zenon_L1064_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c1_1 (a601))) -> (~(c2_1 (a601))) -> (~(c0_1 (a601))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H194 zenon_H1e1 zenon_H13b zenon_H8e zenon_H28d zenon_H254 zenon_Hc0 zenon_H24f zenon_H1c3 zenon_H102 zenon_H2be zenon_Hbf zenon_H1d2 zenon_H5f zenon_H285 zenon_H123 zenon_H8a zenon_H1e0 zenon_H12c zenon_H66 zenon_H174 zenon_H46 zenon_H1f6 zenon_H125 zenon_H186 zenon_H185 zenon_H184 zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H287 zenon_H203 zenon_H207 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H1e7 zenon_H1eb zenon_H259 zenon_H258 zenon_H257 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H30. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.33/1.51 apply (zenon_L1062_); trivial. % 1.33/1.51 apply (zenon_L1034_); trivial. % 1.33/1.51 (* end of lemma zenon_L1064_ *) % 1.33/1.51 assert (zenon_L1065_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (ndr1_0) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp13)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (c3_1 (a598)) -> (c0_1 (a598)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (~(hskp16)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H8e zenon_H254 zenon_H24f zenon_H185 zenon_H186 zenon_H184 zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H102 zenon_H237 zenon_H22c zenon_H22b zenon_Hf zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H240 zenon_H242 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H1f6 zenon_H125 zenon_H160 zenon_H15f zenon_H1eb zenon_H90 zenon_H91 zenon_H92 zenon_Hfb zenon_H203 zenon_H207 zenon_H12c. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.51 apply (zenon_L935_); trivial. % 1.33/1.51 apply (zenon_L1020_); trivial. % 1.33/1.51 apply (zenon_L910_); trivial. % 1.33/1.51 (* end of lemma zenon_L1065_ *) % 1.33/1.51 assert (zenon_L1066_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H137 zenon_H8e zenon_H90 zenon_H91 zenon_H92 zenon_H160 zenon_H15e zenon_H15f zenon_H106 zenon_H1d2 zenon_H5f zenon_H1c8 zenon_H142 zenon_H28d zenon_H30 zenon_H1e0 zenon_H24f zenon_H185 zenon_H186 zenon_H184 zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H102 zenon_H237 zenon_H22c zenon_H22b zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_Hca zenon_Hcb zenon_Hcc zenon_H6c zenon_H6d zenon_H6e zenon_H155 zenon_H104 zenon_H285 zenon_H123 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H8a zenon_H12c. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.51 apply (zenon_L1049_); trivial. % 1.33/1.51 apply (zenon_L956_); trivial. % 1.33/1.51 (* end of lemma zenon_L1066_ *) % 1.33/1.51 assert (zenon_L1067_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> (~(c1_1 (a598))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H194 zenon_H1e1 zenon_H13b zenon_H15e zenon_H106 zenon_H1d2 zenon_H5f zenon_H28d zenon_H1e0 zenon_H104 zenon_H285 zenon_H8a zenon_H207 zenon_H203 zenon_H15f zenon_H160 zenon_H125 zenon_H1f6 zenon_H242 zenon_H240 zenon_H254 zenon_H12c zenon_H30 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H1e7 zenon_H142 zenon_H1c8 zenon_H155 zenon_H6e zenon_H6d zenon_H6c zenon_Hcc zenon_Hcb zenon_Hca zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H22b zenon_H22c zenon_H237 zenon_H102 zenon_H184 zenon_H186 zenon_H185 zenon_H24f zenon_H8e. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.33/1.51 apply (zenon_L1047_); trivial. % 1.33/1.51 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.33/1.51 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.33/1.51 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.33/1.51 apply (zenon_L1065_); trivial. % 1.33/1.51 apply (zenon_L1066_); trivial. % 1.33/1.51 (* end of lemma zenon_L1067_ *) % 1.33/1.51 assert (zenon_L1068_ : ((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(hskp16)) -> (c2_1 (a600)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H67 zenon_H207 zenon_H203 zenon_H92 zenon_H91 zenon_H90 zenon_H287 zenon_Hfb zenon_H6e zenon_H6c zenon_H6d zenon_H184 zenon_H185 zenon_H186 zenon_H125 zenon_H1f6 zenon_H5f zenon_H62. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Hf. zenon_intro zenon_H68. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H39. zenon_intro zenon_H69. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H37. zenon_intro zenon_H38. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H202 ]. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H36 | zenon_intro zenon_H65 ]. % 1.33/1.51 apply (zenon_L14_); trivial. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H10 | zenon_intro zenon_H60 ]. % 1.33/1.51 apply (zenon_L776_); trivial. % 1.33/1.51 exact (zenon_H5f zenon_H60). % 1.33/1.51 apply (zenon_L183_); trivial. % 1.33/1.51 (* end of lemma zenon_L1068_ *) % 1.33/1.51 assert (zenon_L1069_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (c2_1 (a600)) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H8b zenon_H6a zenon_H92 zenon_H91 zenon_H90 zenon_H62 zenon_H5f zenon_H1f6 zenon_H125 zenon_H186 zenon_H185 zenon_H184 zenon_H6d zenon_H6c zenon_H6e zenon_Hfb zenon_H287 zenon_H54 zenon_H203 zenon_H207. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.33/1.51 apply (zenon_L777_); trivial. % 1.33/1.51 apply (zenon_L1068_); trivial. % 1.33/1.51 (* end of lemma zenon_L1069_ *) % 1.33/1.51 assert (zenon_L1070_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (~(hskp27)) -> (~(c2_1 (a606))) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (ndr1_0) -> (~(hskp11)) -> False). % 1.33/1.51 do 0 intro. intros zenon_H106 zenon_H92 zenon_H91 zenon_H90 zenon_H2ab zenon_H75 zenon_H12e zenon_H130 zenon_H12f zenon_H10b zenon_H10c zenon_H114 zenon_H285 zenon_H160 zenon_H15e zenon_H15f zenon_Hf zenon_H3. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H108 ]. % 1.33/1.51 apply (zenon_L367_); trivial. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H8f | zenon_intro zenon_H9d ]. % 1.33/1.51 apply (zenon_L39_); trivial. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H2ac ]. % 1.33/1.51 apply (zenon_L367_); trivial. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H18f | zenon_intro zenon_H4 ]. % 1.33/1.51 apply (zenon_L254_); trivial. % 1.33/1.51 exact (zenon_H3 zenon_H4). % 1.33/1.51 (* end of lemma zenon_L1070_ *) % 1.33/1.51 assert (zenon_L1071_ : ((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp11)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H87 zenon_H24f zenon_H3 zenon_H15f zenon_H15e zenon_H160 zenon_H176 zenon_H177 zenon_H178 zenon_H2ab zenon_H90 zenon_H91 zenon_H92 zenon_H106 zenon_H237 zenon_H22c zenon_H22b. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.33/1.51 apply (zenon_L1043_); trivial. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.33/1.51 apply (zenon_L226_); trivial. % 1.33/1.51 apply (zenon_L31_); trivial. % 1.33/1.51 (* end of lemma zenon_L1071_ *) % 1.33/1.51 assert (zenon_L1072_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H127 zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H176 zenon_H177 zenon_H178 zenon_H285 zenon_H12f zenon_H130 zenon_H12e zenon_H90 zenon_H91 zenon_H92 zenon_H2ab zenon_H3 zenon_H160 zenon_H15e zenon_H15f zenon_H106. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.33/1.51 apply (zenon_L1070_); trivial. % 1.33/1.51 apply (zenon_L1071_); trivial. % 1.33/1.51 (* end of lemma zenon_L1072_ *) % 1.33/1.51 assert (zenon_L1073_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp26)\/(hskp28))) -> (~(hskp26)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (~(hskp7)) -> (~(hskp20)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> (ndr1_0) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H8a zenon_Hc0 zenon_H24f zenon_H46 zenon_H174 zenon_H1eb zenon_Hcc zenon_Hcb zenon_Hca zenon_H2eb zenon_H2ea zenon_H2e9 zenon_Ha zenon_H123 zenon_H2c0 zenon_H1 zenon_H186 zenon_H185 zenon_H184 zenon_H8 zenon_H99 zenon_H9b zenon_Hf zenon_H10b zenon_H10c zenon_H114 zenon_H276 zenon_H277 zenon_H278 zenon_H285. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.33/1.51 apply (zenon_L278_); trivial. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.33/1.51 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.33/1.51 apply (zenon_L415_); trivial. % 1.33/1.51 apply (zenon_L1030_); trivial. % 1.33/1.51 (* end of lemma zenon_L1073_ *) % 1.33/1.51 assert (zenon_L1074_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp26)\/(hskp28))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (ndr1_0) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H198 zenon_H8e zenon_H254 zenon_H102 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H46 zenon_H174 zenon_H66 zenon_Hbf zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H9b zenon_H2c0 zenon_H123 zenon_H1eb zenon_H24f zenon_Hc0 zenon_H8a zenon_H12c zenon_H192 zenon_Hcc zenon_Hcb zenon_Hca zenon_H186 zenon_H185 zenon_H184 zenon_Hf zenon_H142 zenon_H8 zenon_H144. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.33/1.51 apply (zenon_L124_); trivial. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.51 apply (zenon_L995_); trivial. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.33/1.51 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H99 | zenon_intro zenon_Hc2 ]. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.33/1.51 apply (zenon_L1073_); trivial. % 1.33/1.51 apply (zenon_L871_); trivial. % 1.33/1.51 apply (zenon_L993_); trivial. % 1.33/1.51 apply (zenon_L886_); trivial. % 1.33/1.51 (* end of lemma zenon_L1074_ *) % 1.33/1.51 assert (zenon_L1075_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H127 zenon_H8a zenon_Hc0 zenon_H24f zenon_H46 zenon_H174 zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_Ha zenon_H123 zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H142 zenon_H1c8 zenon_H276 zenon_H277 zenon_H278 zenon_H285. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.33/1.51 apply (zenon_L278_); trivial. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.33/1.51 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.33/1.51 apply (zenon_L146_); trivial. % 1.33/1.51 apply (zenon_L1030_); trivial. % 1.33/1.51 (* end of lemma zenon_L1075_ *) % 1.33/1.51 assert (zenon_L1076_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H8b zenon_H12c zenon_H8a zenon_Hc0 zenon_H24f zenon_H46 zenon_H174 zenon_H1c3 zenon_Hcc zenon_Hcb zenon_Hca zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.51 apply (zenon_L1008_); trivial. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.33/1.51 apply (zenon_L278_); trivial. % 1.33/1.51 apply (zenon_L1022_); trivial. % 1.33/1.51 (* end of lemma zenon_L1076_ *) % 1.33/1.51 assert (zenon_L1077_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (ndr1_0) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H8e zenon_H30 zenon_H192 zenon_Hd3 zenon_H186 zenon_H185 zenon_H184 zenon_H28d zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hf zenon_H142 zenon_H1c8 zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1c3 zenon_H123 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H174 zenon_H46 zenon_H24f zenon_Hc0 zenon_H8a zenon_H12c. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.51 apply (zenon_L505_); trivial. % 1.33/1.51 apply (zenon_L1075_); trivial. % 1.33/1.51 apply (zenon_L1076_); trivial. % 1.33/1.51 (* end of lemma zenon_L1077_ *) % 1.33/1.51 assert (zenon_L1078_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H8b zenon_H12c zenon_H8a zenon_H85 zenon_H83 zenon_H160 zenon_H15f zenon_H15e zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.51 apply (zenon_L1008_); trivial. % 1.33/1.51 apply (zenon_L284_); trivial. % 1.33/1.51 (* end of lemma zenon_L1078_ *) % 1.33/1.51 assert (zenon_L1079_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (ndr1_0) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H12c zenon_H8a zenon_H85 zenon_H83 zenon_H160 zenon_H15f zenon_H15e zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_Hbf zenon_H66 zenon_H174 zenon_H46 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H2be zenon_H184 zenon_H186 zenon_H185 zenon_Hf zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H102 zenon_H1c8 zenon_H142 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H1c3 zenon_H24f zenon_Hc0 zenon_H254. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.51 apply (zenon_L1029_); trivial. % 1.33/1.51 apply (zenon_L284_); trivial. % 1.33/1.51 (* end of lemma zenon_L1079_ *) % 1.33/1.51 assert (zenon_L1080_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp2)) -> False). % 1.33/1.51 do 0 intro. intros zenon_H8b zenon_H1c8 zenon_H160 zenon_H15e zenon_H15f zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H90 zenon_H91 zenon_H92 zenon_H176 zenon_H177 zenon_H178 zenon_H106 zenon_H142. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1c9 ]. % 1.33/1.51 apply (zenon_L116_); trivial. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H143 ]. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H108 ]. % 1.33/1.51 apply (zenon_L191_); trivial. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H8f | zenon_intro zenon_H9d ]. % 1.33/1.51 apply (zenon_L39_); trivial. % 1.33/1.51 apply (zenon_L840_); trivial. % 1.33/1.51 exact (zenon_H142 zenon_H143). % 1.33/1.51 (* end of lemma zenon_L1080_ *) % 1.33/1.51 assert (zenon_L1081_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (ndr1_0) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H12c zenon_H8a zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_Ha zenon_H123 zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H155 zenon_H6e zenon_H6d zenon_H6c zenon_Hcc zenon_Hcb zenon_Hca zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_Hf zenon_H22b zenon_H22c zenon_H237 zenon_H102 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H184 zenon_H186 zenon_H185 zenon_H24f. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.51 apply (zenon_L560_); trivial. % 1.33/1.51 apply (zenon_L964_); trivial. % 1.33/1.51 (* end of lemma zenon_L1081_ *) % 1.33/1.51 assert (zenon_L1082_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H8b zenon_H12c zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_Hca zenon_Hcb zenon_Hcc zenon_H274 zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.51 apply (zenon_L1008_); trivial. % 1.33/1.51 apply (zenon_L558_); trivial. % 1.33/1.51 (* end of lemma zenon_L1082_ *) % 1.33/1.51 assert (zenon_L1083_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H194 zenon_H8e zenon_H274 zenon_H1c8 zenon_H142 zenon_H28d zenon_H30 zenon_H24f zenon_H185 zenon_H186 zenon_H184 zenon_H102 zenon_H237 zenon_H22c zenon_H22b zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_Hca zenon_Hcb zenon_Hcc zenon_H6c zenon_H6d zenon_H6e zenon_H155 zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H123 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H8a zenon_H12c. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.51 apply (zenon_L1081_); trivial. % 1.33/1.51 apply (zenon_L1082_); trivial. % 1.33/1.51 (* end of lemma zenon_L1083_ *) % 1.33/1.51 assert (zenon_L1084_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (c3_1 (a598)) -> (c0_1 (a598)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (ndr1_0) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H8e zenon_H6a zenon_Hc0 zenon_H5f zenon_H62 zenon_H1c3 zenon_H54 zenon_H160 zenon_H15f zenon_H274 zenon_H30 zenon_H192 zenon_Hd3 zenon_H186 zenon_H185 zenon_H184 zenon_H28d zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hf zenon_H142 zenon_H1c8 zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H123 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_Hca zenon_Hcb zenon_Hcc zenon_H1eb zenon_H22b zenon_H22c zenon_H237 zenon_H24f zenon_H8a zenon_H12c. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.51 apply (zenon_L505_); trivial. % 1.33/1.51 apply (zenon_L964_); trivial. % 1.33/1.51 apply (zenon_L530_); trivial. % 1.33/1.51 (* end of lemma zenon_L1084_ *) % 1.33/1.51 assert (zenon_L1085_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (ndr1_0) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H254 zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H102 zenon_H100 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_Hf zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H46 zenon_H174 zenon_H66 zenon_Hbf. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H23e | zenon_intro zenon_H251 ]. % 1.33/1.51 apply (zenon_L994_); trivial. % 1.33/1.51 apply (zenon_L543_); trivial. % 1.33/1.51 (* end of lemma zenon_L1085_ *) % 1.33/1.51 assert (zenon_L1086_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (ndr1_0) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H12c zenon_H8a zenon_H1eb zenon_Hcc zenon_Hcb zenon_Hca zenon_Ha zenon_H123 zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_Hbf zenon_H66 zenon_H174 zenon_H46 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H2be zenon_H184 zenon_H186 zenon_H185 zenon_Hf zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H102 zenon_H22b zenon_H22c zenon_H237 zenon_H24f zenon_H254. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.51 apply (zenon_L1085_); trivial. % 1.33/1.51 apply (zenon_L964_); trivial. % 1.33/1.51 (* end of lemma zenon_L1086_ *) % 1.33/1.51 assert (zenon_L1087_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H194 zenon_H8e zenon_Hc0 zenon_H1c3 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H30 zenon_H254 zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H102 zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H46 zenon_H174 zenon_H66 zenon_Hbf zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H123 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1eb zenon_H8a zenon_H12c. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.51 apply (zenon_L1086_); trivial. % 1.33/1.51 apply (zenon_L1076_); trivial. % 1.33/1.51 (* end of lemma zenon_L1087_ *) % 1.33/1.51 assert (zenon_L1088_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (~(hskp15)) -> (~(hskp11)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp15)\/(hskp11))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (~(c1_1 (a601))) -> (~(c2_1 (a601))) -> (~(c0_1 (a601))) -> (ndr1_0) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((hskp26)\/(hskp11)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H8e zenon_H106 zenon_H299 zenon_H298 zenon_H297 zenon_H83 zenon_H3 zenon_H220 zenon_H54 zenon_H186 zenon_H185 zenon_H184 zenon_H259 zenon_H258 zenon_H257 zenon_Hf zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H5 zenon_H5f zenon_H62 zenon_H66 zenon_H6a. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H108 ]. % 1.33/1.51 apply (zenon_L545_); trivial. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H8f | zenon_intro zenon_H9d ]. % 1.33/1.51 apply (zenon_L197_); trivial. % 1.33/1.51 apply (zenon_L320_); trivial. % 1.33/1.51 apply (zenon_L105_); trivial. % 1.33/1.51 apply (zenon_L121_); trivial. % 1.33/1.51 (* end of lemma zenon_L1088_ *) % 1.33/1.51 assert (zenon_L1089_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp17)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(c1_1 (a601))) -> (~(c2_1 (a601))) -> (~(c0_1 (a601))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (~(hskp23)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (ndr1_0) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> False). % 1.33/1.51 do 0 intro. intros zenon_H106 zenon_Ha zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H54 zenon_H259 zenon_H258 zenon_H257 zenon_H186 zenon_H185 zenon_H184 zenon_H2e zenon_H123 zenon_H92 zenon_H91 zenon_H90 zenon_Hf zenon_H297 zenon_H298 zenon_H299. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H108 ]. % 1.33/1.51 apply (zenon_L545_); trivial. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H8f | zenon_intro zenon_H9d ]. % 1.33/1.51 apply (zenon_L39_); trivial. % 1.33/1.51 apply (zenon_L320_); trivial. % 1.33/1.51 (* end of lemma zenon_L1089_ *) % 1.33/1.51 assert (zenon_L1090_ : ((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c0_1 (a601))) -> (~(c2_1 (a601))) -> (~(c1_1 (a601))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_Hc2 zenon_H6a zenon_H66 zenon_H62 zenon_H5f zenon_H265 zenon_H123 zenon_Ha zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H257 zenon_H258 zenon_H259 zenon_H184 zenon_H185 zenon_H186 zenon_H54 zenon_H90 zenon_H91 zenon_H92 zenon_H297 zenon_H298 zenon_H299 zenon_H106. % 1.33/1.51 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hf. zenon_intro zenon_Hc3. % 1.33/1.51 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H9e. zenon_intro zenon_Hc4. % 1.33/1.51 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H9f. zenon_intro zenon_Ha8. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.33/1.51 apply (zenon_L1089_); trivial. % 1.33/1.51 apply (zenon_L237_); trivial. % 1.33/1.51 (* end of lemma zenon_L1090_ *) % 1.33/1.51 assert (zenon_L1091_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (~(c1_1 (a601))) -> (~(c2_1 (a601))) -> (~(c0_1 (a601))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_Hc6 zenon_H8e zenon_H140 zenon_H9b zenon_H8 zenon_H106 zenon_H299 zenon_H298 zenon_H297 zenon_H54 zenon_H186 zenon_H185 zenon_H184 zenon_H259 zenon_H258 zenon_H257 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H265 zenon_H5f zenon_H62 zenon_H66 zenon_H6a zenon_Hbf. % 1.33/1.51 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.33/1.51 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.33/1.51 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.51 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H99 | zenon_intro zenon_Hc2 ]. % 1.33/1.51 apply (zenon_L41_); trivial. % 1.33/1.51 apply (zenon_L1090_); trivial. % 1.33/1.51 apply (zenon_L389_); trivial. % 1.33/1.51 (* end of lemma zenon_L1091_ *) % 1.33/1.51 assert (zenon_L1092_ : ((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> (~(hskp7)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((hskp26)\/(hskp11)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp15)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H2c5 zenon_H1e1 zenon_H140 zenon_H9b zenon_H8 zenon_H265 zenon_Hbf zenon_H6a zenon_H66 zenon_H62 zenon_H5f zenon_H5 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H184 zenon_H185 zenon_H186 zenon_H54 zenon_H220 zenon_H3 zenon_H297 zenon_H298 zenon_H299 zenon_H106 zenon_H8e. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.33/1.51 apply (zenon_L1088_); trivial. % 1.33/1.51 apply (zenon_L1091_); trivial. % 1.33/1.51 (* end of lemma zenon_L1092_ *) % 1.33/1.51 assert (zenon_L1093_ : ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((hskp26)\/(hskp11)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp15)\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (ndr1_0) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H2f2 zenon_H1e1 zenon_H140 zenon_H9b zenon_H265 zenon_Hbf zenon_H6a zenon_H66 zenon_H62 zenon_H5f zenon_H5 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H184 zenon_H185 zenon_H186 zenon_H54 zenon_H220 zenon_H3 zenon_H297 zenon_H298 zenon_H299 zenon_H106 zenon_H8e zenon_H242 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_Hf zenon_H142 zenon_H8 zenon_H144 zenon_H254. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.33/1.51 apply (zenon_L873_); trivial. % 1.33/1.51 apply (zenon_L1092_); trivial. % 1.33/1.51 (* end of lemma zenon_L1093_ *) % 1.33/1.51 assert (zenon_L1094_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H197 zenon_H1bf zenon_H159 zenon_H155 zenon_H297 zenon_H298 zenon_H299 zenon_H42 zenon_H222 zenon_H144 zenon_H8 zenon_H142 zenon_H184 zenon_H185 zenon_H186 zenon_H192 zenon_H12c zenon_H1eb zenon_H123 zenon_Hbf zenon_H66 zenon_H174 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H2be zenon_H102 zenon_H254 zenon_H8e zenon_H198. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.33/1.51 apply (zenon_L996_); trivial. % 1.33/1.51 apply (zenon_L337_); trivial. % 1.33/1.51 (* end of lemma zenon_L1094_ *) % 1.33/1.51 assert (zenon_L1095_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(hskp16)) -> (ndr1_0) -> (forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> (c2_1 (a612)) -> (c3_1 (a612)) -> (c1_1 (a612)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (~(hskp12)) -> False). % 1.33/1.51 do 0 intro. intros zenon_H174 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_Hfb zenon_Hf zenon_H6b zenon_Hd7 zenon_Hd8 zenon_Hb4 zenon_Hb5 zenon_Hb3 zenon_H107 zenon_H46. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H167 | zenon_intro zenon_H175 ]. % 1.33/1.51 apply (zenon_L864_); trivial. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H10 | zenon_intro zenon_H47 ]. % 1.33/1.51 apply (zenon_L110_); trivial. % 1.33/1.51 exact (zenon_H46 zenon_H47). % 1.33/1.51 (* end of lemma zenon_L1095_ *) % 1.33/1.51 assert (zenon_L1096_ : ((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (~(hskp16)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H154 zenon_Hc0 zenon_H155 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H107 zenon_Hfb zenon_Hd8 zenon_Hd7 zenon_H46 zenon_H174 zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H142 zenon_H1c8. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_Hf. zenon_intro zenon_H156. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14d. zenon_intro zenon_H157. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.33/1.51 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.33/1.51 apply (zenon_L146_); trivial. % 1.33/1.51 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.33/1.51 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.33/1.51 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14a | zenon_intro zenon_H158 ]. % 1.33/1.51 apply (zenon_L96_); trivial. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H6b ]. % 1.33/1.51 apply (zenon_L51_); trivial. % 1.33/1.51 apply (zenon_L1095_); trivial. % 1.33/1.51 (* end of lemma zenon_L1096_ *) % 1.33/1.51 assert (zenon_L1097_ : ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (~(hskp16)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (ndr1_0) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H159 zenon_Hc0 zenon_H155 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H107 zenon_Hfb zenon_Hd8 zenon_Hd7 zenon_H46 zenon_H174 zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H142 zenon_H1c8 zenon_Hf zenon_H297 zenon_H298 zenon_H299 zenon_H42 zenon_H222. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H146 | zenon_intro zenon_H154 ]. % 1.33/1.51 apply (zenon_L324_); trivial. % 1.33/1.51 apply (zenon_L1096_); trivial. % 1.33/1.51 (* end of lemma zenon_L1097_ *) % 1.33/1.51 assert (zenon_L1098_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> (~(c2_1 (a606))) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> (~(hskp27)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (ndr1_0) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> False). % 1.33/1.51 do 0 intro. intros zenon_Hc0 zenon_H104 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H46 zenon_H174 zenon_H10b zenon_H10c zenon_H114 zenon_H12e zenon_H130 zenon_H12f zenon_H75 zenon_H285 zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_Hf zenon_H142 zenon_H1c8. % 1.33/1.51 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.33/1.51 apply (zenon_L146_); trivial. % 1.33/1.51 apply (zenon_L914_); trivial. % 1.33/1.51 (* end of lemma zenon_L1098_ *) % 1.33/1.51 assert (zenon_L1099_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H8b zenon_H12c zenon_H8a zenon_H85 zenon_H83 zenon_H160 zenon_H15f zenon_H15e zenon_Hca zenon_Hcb zenon_Hcc zenon_H1c3 zenon_H285 zenon_H12f zenon_H130 zenon_H12e zenon_H174 zenon_H46 zenon_H104 zenon_Hc0 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.51 apply (zenon_L1008_); trivial. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.33/1.51 apply (zenon_L1098_); trivial. % 1.33/1.51 apply (zenon_L113_); trivial. % 1.33/1.51 (* end of lemma zenon_L1099_ *) % 1.33/1.51 assert (zenon_L1100_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H137 zenon_H8e zenon_H8a zenon_H85 zenon_H160 zenon_H15f zenon_H15e zenon_H285 zenon_H104 zenon_H28d zenon_H254 zenon_Hc0 zenon_H24f zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H142 zenon_H1c8 zenon_H102 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H46 zenon_H174 zenon_H66 zenon_Hbf zenon_H83 zenon_H1e7 zenon_H1eb zenon_H123 zenon_H30 zenon_H12c. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.51 apply (zenon_L1029_); trivial. % 1.33/1.51 apply (zenon_L1006_); trivial. % 1.33/1.51 apply (zenon_L1099_); trivial. % 1.33/1.51 (* end of lemma zenon_L1100_ *) % 1.33/1.51 assert (zenon_L1101_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c1_1 (a603))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (ndr1_0) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H13b zenon_H8e zenon_H8a zenon_H85 zenon_H160 zenon_H15f zenon_H15e zenon_H285 zenon_H104 zenon_H28d zenon_H254 zenon_H24f zenon_H102 zenon_He4 zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H66 zenon_Hbf zenon_H83 zenon_H1e7 zenon_H1eb zenon_H123 zenon_H30 zenon_H12c zenon_H222 zenon_H42 zenon_H299 zenon_H298 zenon_H297 zenon_Hf zenon_H1c8 zenon_H142 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H1c3 zenon_H174 zenon_H46 zenon_Hd7 zenon_Hd8 zenon_H107 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H155 zenon_Hc0 zenon_H159. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.33/1.51 apply (zenon_L1097_); trivial. % 1.33/1.51 apply (zenon_L1100_); trivial. % 1.33/1.51 (* end of lemma zenon_L1101_ *) % 1.33/1.51 assert (zenon_L1102_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c1_1 (a601))) -> (~(c2_1 (a601))) -> (~(c0_1 (a601))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (ndr1_0) -> (~(hskp18)) -> False). % 1.33/1.51 do 0 intro. intros zenon_H24f zenon_H299 zenon_H298 zenon_H297 zenon_H90 zenon_H91 zenon_H92 zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H259 zenon_H258 zenon_H257 zenon_Hca zenon_Hcb zenon_Hcc zenon_H106 zenon_H237 zenon_H22c zenon_H22b zenon_H102 zenon_H184 zenon_H186 zenon_H185 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_Hf zenon_H100. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.33/1.51 apply (zenon_L978_); trivial. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.33/1.51 apply (zenon_L226_); trivial. % 1.33/1.51 apply (zenon_L498_); trivial. % 1.33/1.51 (* end of lemma zenon_L1102_ *) % 1.33/1.51 assert (zenon_L1103_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H137 zenon_H8e zenon_H237 zenon_H22c zenon_H22b zenon_H90 zenon_H91 zenon_H92 zenon_H160 zenon_H15e zenon_H15f zenon_H106 zenon_H28d zenon_H30 zenon_H254 zenon_Hc0 zenon_H24f zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H142 zenon_H1c8 zenon_H102 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H46 zenon_H174 zenon_H66 zenon_Hbf zenon_H1d2 zenon_H5f zenon_H104 zenon_H285 zenon_H123 zenon_H1eb zenon_H8a zenon_H1e0 zenon_H12c. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.51 apply (zenon_L1032_); trivial. % 1.33/1.51 apply (zenon_L956_); trivial. % 1.33/1.51 (* end of lemma zenon_L1103_ *) % 1.33/1.51 assert (zenon_L1104_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c1_1 (a601))) -> (~(c2_1 (a601))) -> (~(c0_1 (a601))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (ndr1_0) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(hskp16)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H8e zenon_H24f zenon_H185 zenon_H186 zenon_H184 zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H102 zenon_H237 zenon_H22c zenon_H22b zenon_H1eb zenon_Hcc zenon_Hcb zenon_Hca zenon_H259 zenon_H258 zenon_H257 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_Hf zenon_H90 zenon_H91 zenon_H92 zenon_H297 zenon_H298 zenon_H299 zenon_H106 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H1f6 zenon_H125 zenon_H160 zenon_H15f zenon_Hfb zenon_H203 zenon_H207 zenon_H12c. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.51 apply (zenon_L1102_); trivial. % 1.33/1.51 apply (zenon_L1020_); trivial. % 1.33/1.51 apply (zenon_L910_); trivial. % 1.33/1.51 (* end of lemma zenon_L1104_ *) % 1.33/1.51 assert (zenon_L1105_ : ((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(hskp16)) -> False). % 1.33/1.51 do 0 intro. intros zenon_H300 zenon_H107 zenon_H237 zenon_H22c zenon_H22b zenon_Hfb. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_Hf. zenon_intro zenon_H301. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H2f9. zenon_intro zenon_H302. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H2f7. zenon_intro zenon_H2f8. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_Hec | zenon_intro zenon_H109 ]. % 1.33/1.51 apply (zenon_L226_); trivial. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_He0 | zenon_intro zenon_Hfc ]. % 1.33/1.51 apply (zenon_L945_); trivial. % 1.33/1.51 exact (zenon_Hfb zenon_Hfc). % 1.33/1.51 (* end of lemma zenon_L1105_ *) % 1.33/1.51 assert (zenon_L1106_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (ndr1_0) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(hskp11)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H303 zenon_H107 zenon_Hfb zenon_H237 zenon_H22c zenon_H22b zenon_Hf zenon_H297 zenon_H298 zenon_H299 zenon_H3 zenon_H2f5. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H300 ]. % 1.33/1.51 apply (zenon_L968_); trivial. % 1.33/1.51 apply (zenon_L1105_); trivial. % 1.33/1.51 (* end of lemma zenon_L1106_ *) % 1.33/1.51 assert (zenon_L1107_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (ndr1_0) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> (~(hskp21)) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H8a zenon_H85 zenon_H83 zenon_H285 zenon_H12f zenon_H130 zenon_H12e zenon_H114 zenon_H10c zenon_H10b zenon_Hf zenon_H2f5 zenon_H3 zenon_H2f3 zenon_H160 zenon_H15e zenon_H15f zenon_H2ab. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H2ac ]. % 1.33/1.51 apply (zenon_L367_); trivial. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H18f | zenon_intro zenon_H4 ]. % 1.33/1.51 apply (zenon_L942_); trivial. % 1.33/1.51 exact (zenon_H3 zenon_H4). % 1.33/1.51 apply (zenon_L113_); trivial. % 1.33/1.51 (* end of lemma zenon_L1107_ *) % 1.33/1.51 assert (zenon_L1108_ : ((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c2_1 (a629))) -> (~(c3_1 (a629))) -> (c0_1 (a629)) -> False). % 1.33/1.51 do 0 intro. intros zenon_H32 zenon_H229 zenon_H178 zenon_H177 zenon_H176 zenon_H10b zenon_H10c zenon_H114 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H2f7 zenon_H2f8 zenon_H2f9. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hf. zenon_intro zenon_H33. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H1f. zenon_intro zenon_H34. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H22a ]. % 1.33/1.51 apply (zenon_L116_); trivial. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H10a | zenon_intro zenon_He0 ]. % 1.33/1.51 apply (zenon_L1004_); trivial. % 1.33/1.51 apply (zenon_L945_); trivial. % 1.33/1.51 (* end of lemma zenon_L1108_ *) % 1.33/1.51 assert (zenon_L1109_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> (~(hskp11)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> (~(c2_1 (a606))) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(hskp15)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> False). % 1.33/1.51 do 0 intro. intros zenon_H127 zenon_H303 zenon_H30 zenon_H229 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H176 zenon_H177 zenon_H178 zenon_H1e7 zenon_H1ac zenon_H1a5 zenon_H142 zenon_H1c8 zenon_H2ab zenon_H15f zenon_H15e zenon_H160 zenon_H3 zenon_H2f5 zenon_H12e zenon_H130 zenon_H12f zenon_H285 zenon_H83 zenon_H85 zenon_H8a. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H300 ]. % 1.33/1.51 apply (zenon_L1107_); trivial. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_Hf. zenon_intro zenon_H301. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H2f9. zenon_intro zenon_H302. % 1.33/1.51 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H2f7. zenon_intro zenon_H2f8. % 1.33/1.51 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.33/1.51 apply (zenon_L200_); trivial. % 1.33/1.52 apply (zenon_L1108_); trivial. % 1.33/1.52 (* end of lemma zenon_L1109_ *) % 1.33/1.52 assert (zenon_L1110_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(hskp15)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c1_1 (a601))) -> (~(c2_1 (a601))) -> (~(c0_1 (a601))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H137 zenon_H12c zenon_H303 zenon_H229 zenon_H176 zenon_H177 zenon_H178 zenon_H1e7 zenon_H15f zenon_H15e zenon_H160 zenon_H2f5 zenon_H285 zenon_H83 zenon_H85 zenon_H8a zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H1eb zenon_H259 zenon_H258 zenon_H257 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H3 zenon_H2ab zenon_H30. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.52 apply (zenon_L894_); trivial. % 1.33/1.52 apply (zenon_L1109_); trivial. % 1.33/1.52 (* end of lemma zenon_L1110_ *) % 1.33/1.52 assert (zenon_L1111_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_Hc6 zenon_H13b zenon_H12c zenon_H8a zenon_H285 zenon_H106 zenon_H178 zenon_H177 zenon_H176 zenon_H102 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H184 zenon_H186 zenon_H185 zenon_H24f zenon_H2f5 zenon_H3 zenon_H299 zenon_H298 zenon_H297 zenon_H22b zenon_H22c zenon_H237 zenon_H107 zenon_H303. % 1.33/1.52 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.33/1.52 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.33/1.52 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.33/1.52 apply (zenon_L1106_); trivial. % 1.33/1.52 apply (zenon_L829_); trivial. % 1.33/1.52 (* end of lemma zenon_L1111_ *) % 1.33/1.52 assert (zenon_L1112_ : ((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H1dd zenon_H8a zenon_Hc0 zenon_H24f zenon_H46 zenon_H174 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H4b zenon_H4c zenon_H4d zenon_H1eb zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H142 zenon_H1c8 zenon_H10b zenon_H10c zenon_H114 zenon_H276 zenon_H277 zenon_H278 zenon_H285. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_Hf. zenon_intro zenon_H1de. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d6. zenon_intro zenon_H1df. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.33/1.52 apply (zenon_L278_); trivial. % 1.33/1.52 apply (zenon_L917_); trivial. % 1.33/1.52 (* end of lemma zenon_L1112_ *) % 1.33/1.52 assert (zenon_L1113_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c2_1 (a606))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(hskp9)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H8b zenon_H12c zenon_H1e0 zenon_H8a zenon_Hc0 zenon_H24f zenon_H46 zenon_H174 zenon_H1c3 zenon_Hcc zenon_Hcb zenon_Hca zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H12e zenon_H12f zenon_H130 zenon_H5f zenon_H1d2 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.52 apply (zenon_L1008_); trivial. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ]. % 1.33/1.52 apply (zenon_L156_); trivial. % 1.33/1.52 apply (zenon_L1112_); trivial. % 1.33/1.52 (* end of lemma zenon_L1113_ *) % 1.33/1.52 assert (zenon_L1114_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H137 zenon_H8e zenon_H276 zenon_H277 zenon_H278 zenon_H28d zenon_H30 zenon_H254 zenon_Hc0 zenon_H24f zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H142 zenon_H1c8 zenon_H102 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H46 zenon_H174 zenon_H66 zenon_Hbf zenon_H1d2 zenon_H5f zenon_H104 zenon_H285 zenon_H123 zenon_H1eb zenon_H8a zenon_H1e0 zenon_H12c. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.52 apply (zenon_L1032_); trivial. % 1.33/1.52 apply (zenon_L1113_); trivial. % 1.33/1.52 (* end of lemma zenon_L1114_ *) % 1.33/1.52 assert (zenon_L1115_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp9)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H197 zenon_H1bf zenon_H2ad zenon_H299 zenon_H298 zenon_H297 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H159 zenon_Hc0 zenon_H155 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H107 zenon_H174 zenon_H1c3 zenon_H142 zenon_H1c8 zenon_H42 zenon_H222 zenon_H12c zenon_H1e0 zenon_H8a zenon_H1eb zenon_H123 zenon_H285 zenon_H104 zenon_H5f zenon_H1d2 zenon_Hbf zenon_H66 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H2be zenon_H184 zenon_H186 zenon_H185 zenon_H102 zenon_H24f zenon_H254 zenon_H30 zenon_H28d zenon_H278 zenon_H277 zenon_H276 zenon_H8e zenon_H13b zenon_H198. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.33/1.52 apply (zenon_L349_); trivial. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.33/1.52 apply (zenon_L1097_); trivial. % 1.33/1.52 apply (zenon_L1114_); trivial. % 1.33/1.52 apply (zenon_L337_); trivial. % 1.33/1.52 (* end of lemma zenon_L1115_ *) % 1.33/1.52 assert (zenon_L1116_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (ndr1_0) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H12c zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H1eb zenon_Hcc zenon_Hcb zenon_Hca zenon_H2eb zenon_H2ea zenon_H2e9 zenon_Ha zenon_H123 zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_Hf zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H40 zenon_H1b5. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.52 apply (zenon_L135_); trivial. % 1.33/1.52 apply (zenon_L964_); trivial. % 1.33/1.52 (* end of lemma zenon_L1116_ *) % 1.33/1.52 assert (zenon_L1117_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> (ndr1_0) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H198 zenon_H8e zenon_Hc0 zenon_H1c3 zenon_H1c8 zenon_H142 zenon_H28d zenon_H30 zenon_H254 zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H102 zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H46 zenon_H174 zenon_H66 zenon_Hbf zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H123 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1eb zenon_H8a zenon_H12c zenon_Hf zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H297 zenon_H298 zenon_H299 zenon_H2ad. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.33/1.52 apply (zenon_L349_); trivial. % 1.33/1.52 apply (zenon_L1087_); trivial. % 1.33/1.52 (* end of lemma zenon_L1117_ *) % 1.33/1.52 assert (zenon_L1118_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((hskp26)\/(hskp11)) -> (~(hskp11)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H1bf zenon_H2f2 zenon_H12c zenon_Hc0 zenon_H1c zenon_H1a zenon_H1ba zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H1eb zenon_H2ab zenon_H30 zenon_H242 zenon_H125 zenon_H42 zenon_H128 zenon_H254 zenon_H5 zenon_H3 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H66. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.33/1.52 apply (zenon_L893_); trivial. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.33/1.52 apply (zenon_L866_); trivial. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.33/1.52 apply (zenon_L686_); trivial. % 1.33/1.52 apply (zenon_L868_); trivial. % 1.33/1.52 apply (zenon_L139_); trivial. % 1.33/1.52 (* end of lemma zenon_L1118_ *) % 1.33/1.52 assert (zenon_L1119_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp10)) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> False). % 1.33/1.52 do 0 intro. intros zenon_Hc0 zenon_H174 zenon_H46 zenon_H1a zenon_H17f zenon_H1e5 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_Hf zenon_Hca zenon_Hcb zenon_Hcc zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3. % 1.33/1.52 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.33/1.52 apply (zenon_L630_); trivial. % 1.33/1.52 apply (zenon_L897_); trivial. % 1.33/1.52 (* end of lemma zenon_L1119_ *) % 1.33/1.52 assert (zenon_L1120_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H8b zenon_H30 zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H83 zenon_H1e7. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.33/1.52 apply (zenon_L635_); trivial. % 1.33/1.52 apply (zenon_L907_); trivial. % 1.33/1.52 (* end of lemma zenon_L1120_ *) % 1.33/1.52 assert (zenon_L1121_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (ndr1_0) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(hskp18)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H30 zenon_H1eb zenon_H4d zenon_H4c zenon_H4b zenon_H2eb zenon_H2ea zenon_H2e9 zenon_Hf zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H100 zenon_H28d. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.33/1.52 apply (zenon_L686_); trivial. % 1.33/1.52 apply (zenon_L907_); trivial. % 1.33/1.52 (* end of lemma zenon_L1121_ *) % 1.33/1.52 assert (zenon_L1122_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H8b zenon_H12c zenon_H8a zenon_H24f zenon_H1c3 zenon_Hcc zenon_Hcb zenon_Hca zenon_H285 zenon_H12f zenon_H130 zenon_H12e zenon_H1c zenon_H1a zenon_H104 zenon_Hc0 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.52 apply (zenon_L1121_); trivial. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.33/1.52 apply (zenon_L679_); trivial. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.33/1.52 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.33/1.52 apply (zenon_L630_); trivial. % 1.33/1.52 apply (zenon_L1016_); trivial. % 1.33/1.52 (* end of lemma zenon_L1122_ *) % 1.33/1.52 assert (zenon_L1123_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H137 zenon_H8e zenon_H12c zenon_H8a zenon_H24f zenon_H1c3 zenon_H285 zenon_H1c zenon_H1a zenon_H104 zenon_Hc0 zenon_H28d zenon_H2c9 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H289 zenon_H17f zenon_H2ca zenon_H2c8 zenon_Hca zenon_Hcb zenon_Hcc zenon_H6c zenon_H6d zenon_H6e zenon_H155. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.52 apply (zenon_L685_); trivial. % 1.33/1.52 apply (zenon_L1122_); trivial. % 1.33/1.52 (* end of lemma zenon_L1123_ *) % 1.33/1.52 assert (zenon_L1124_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_Hc6 zenon_H13b zenon_H8e zenon_H12c zenon_H8a zenon_H24f zenon_H1c3 zenon_H285 zenon_H1c zenon_H1a zenon_H104 zenon_Hc0 zenon_H28d zenon_H2c9 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H289 zenon_H17f zenon_H203 zenon_H2ca zenon_H2c8 zenon_Hca zenon_Hcb zenon_Hcc zenon_H6c zenon_H6d zenon_H6e zenon_H155. % 1.33/1.52 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.33/1.52 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.33/1.52 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.33/1.52 apply (zenon_L643_); trivial. % 1.33/1.52 apply (zenon_L1123_); trivial. % 1.33/1.52 (* end of lemma zenon_L1124_ *) % 1.33/1.52 assert (zenon_L1125_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (~(hskp4)) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H197 zenon_H1bf zenon_H1e1 zenon_H13b zenon_H12c zenon_H8a zenon_H24f zenon_H285 zenon_H1c zenon_H104 zenon_H28d zenon_H203 zenon_H155 zenon_H289 zenon_H1e7 zenon_H1eb zenon_H30 zenon_H8e zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1e5 zenon_H17f zenon_H1a zenon_H174 zenon_Hc0. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.33/1.52 apply (zenon_L1119_); trivial. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.52 apply (zenon_L685_); trivial. % 1.33/1.52 apply (zenon_L1120_); trivial. % 1.33/1.52 apply (zenon_L1124_); trivial. % 1.33/1.52 (* end of lemma zenon_L1125_ *) % 1.33/1.52 assert (zenon_L1126_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((hskp26)\/(hskp11)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H19b zenon_H1e1 zenon_H13b zenon_H8a zenon_H24f zenon_H285 zenon_H104 zenon_H203 zenon_H155 zenon_H289 zenon_H1e7 zenon_H8e zenon_H1c3 zenon_H1e5 zenon_H17f zenon_H66 zenon_H174 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H5 zenon_H254 zenon_H128 zenon_H42 zenon_H125 zenon_H242 zenon_H30 zenon_H2ab zenon_H1eb zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H28d zenon_H1ba zenon_H1a zenon_H1c zenon_Hc0 zenon_H12c zenon_H2f2 zenon_H1bf. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.33/1.52 apply (zenon_L1118_); trivial. % 1.33/1.52 apply (zenon_L1125_); trivial. % 1.33/1.52 (* end of lemma zenon_L1126_ *) % 1.33/1.52 assert (zenon_L1127_ : ((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H1bc zenon_H8e zenon_H159 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H222 zenon_H42 zenon_H160 zenon_H15e zenon_H15f zenon_H1eb zenon_H289 zenon_H17f zenon_H2ca zenon_H2c8 zenon_Hca zenon_Hcb zenon_Hcc zenon_H155. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.52 apply (zenon_L685_); trivial. % 1.33/1.52 apply (zenon_L891_); trivial. % 1.33/1.52 (* end of lemma zenon_L1127_ *) % 1.33/1.52 assert (zenon_L1128_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H197 zenon_H1bf zenon_H8e zenon_H159 zenon_H222 zenon_H42 zenon_H160 zenon_H15e zenon_H15f zenon_H1eb zenon_H289 zenon_H17f zenon_H2ca zenon_H2c8 zenon_H155 zenon_H48 zenon_H40 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H66. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.33/1.52 apply (zenon_L872_); trivial. % 1.33/1.52 apply (zenon_L1127_); trivial. % 1.33/1.52 (* end of lemma zenon_L1128_ *) % 1.33/1.52 assert (zenon_L1129_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((hskp26)\/(hskp11)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H209 zenon_H159 zenon_H222 zenon_H48 zenon_H40 zenon_H31 zenon_H5f zenon_H62 zenon_H6a zenon_H1bf zenon_H2f2 zenon_H12c zenon_Hc0 zenon_H1c zenon_H1ba zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H1eb zenon_H2ab zenon_H30 zenon_H242 zenon_H125 zenon_H42 zenon_H128 zenon_H254 zenon_H5 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H66 zenon_H17f zenon_H1e5 zenon_H1c3 zenon_H8e zenon_H1e7 zenon_H289 zenon_H155 zenon_H203 zenon_H104 zenon_H285 zenon_H24f zenon_H8a zenon_H13b zenon_H1e1 zenon_H19b. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.33/1.52 apply (zenon_L1126_); trivial. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.33/1.52 apply (zenon_L106_); trivial. % 1.33/1.52 apply (zenon_L1128_); trivial. % 1.33/1.52 (* end of lemma zenon_L1129_ *) % 1.33/1.52 assert (zenon_L1130_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(hskp11)) -> ((hskp26)\/(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H8b zenon_H12c zenon_H66 zenon_Hc0 zenon_H1c zenon_H1a zenon_H6c zenon_H6d zenon_H6e zenon_H1ba zenon_H3 zenon_H5 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.52 apply (zenon_L1121_); trivial. % 1.33/1.52 apply (zenon_L139_); trivial. % 1.33/1.52 (* end of lemma zenon_L1130_ *) % 1.33/1.52 assert (zenon_L1131_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> ((hskp26)\/(hskp11)) -> (~(hskp11)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H1bf zenon_H8e zenon_H12c zenon_Hc0 zenon_H1c zenon_H1a zenon_H1ba zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H1eb zenon_H30 zenon_H184 zenon_H185 zenon_H186 zenon_H15a zenon_H18d zenon_H5 zenon_H3 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H66. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.33/1.52 apply (zenon_L893_); trivial. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.52 apply (zenon_L120_); trivial. % 1.33/1.52 apply (zenon_L1130_); trivial. % 1.33/1.52 (* end of lemma zenon_L1131_ *) % 1.33/1.52 assert (zenon_L1132_ : ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(hskp17)) -> (~(hskp3)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (ndr1_0) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> False). % 1.33/1.52 do 0 intro. intros zenon_H155 zenon_Ha zenon_H15a zenon_H2c8 zenon_H2ca zenon_H2d6 zenon_Hcc zenon_Hcb zenon_Hca zenon_Hf zenon_H6c zenon_H6d zenon_H6e. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14a | zenon_intro zenon_H158 ]. % 1.33/1.52 apply (zenon_L637_); trivial. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H6b ]. % 1.33/1.52 apply (zenon_L51_); trivial. % 1.33/1.52 apply (zenon_L28_); trivial. % 1.33/1.52 (* end of lemma zenon_L1132_ *) % 1.33/1.52 assert (zenon_L1133_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (c2_1 (a586)) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> (~(hskp3)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H8e zenon_H30 zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H2c9 zenon_H83 zenon_H1e7 zenon_H2d6 zenon_H15a zenon_H2ca zenon_H2c8 zenon_Hf zenon_Hca zenon_Hcb zenon_Hcc zenon_H6c zenon_H6d zenon_H6e zenon_H155. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.52 apply (zenon_L1132_); trivial. % 1.33/1.52 apply (zenon_L1120_); trivial. % 1.33/1.52 (* end of lemma zenon_L1133_ *) % 1.33/1.52 assert (zenon_L1134_ : ((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (~(hskp3)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H1bc zenon_H1e1 zenon_H13b zenon_H12c zenon_H8a zenon_H24f zenon_H1c3 zenon_H285 zenon_H1c zenon_H1a zenon_H104 zenon_Hc0 zenon_H28d zenon_H203 zenon_H155 zenon_Hcc zenon_Hcb zenon_Hca zenon_H2c8 zenon_H2ca zenon_H15a zenon_H2d6 zenon_H1e7 zenon_H2c9 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H8e. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.33/1.52 apply (zenon_L1133_); trivial. % 1.33/1.52 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.33/1.52 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.33/1.52 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.33/1.52 apply (zenon_L643_); trivial. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.52 apply (zenon_L1132_); trivial. % 1.33/1.52 apply (zenon_L1122_); trivial. % 1.33/1.52 (* end of lemma zenon_L1134_ *) % 1.33/1.52 assert (zenon_L1135_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(hskp3)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (~(hskp4)) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H197 zenon_H1bf zenon_H1e1 zenon_H13b zenon_H12c zenon_H8a zenon_H24f zenon_H285 zenon_H1c zenon_H104 zenon_H28d zenon_H203 zenon_H155 zenon_H15a zenon_H2d6 zenon_H1e7 zenon_H1eb zenon_H30 zenon_H8e zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1e5 zenon_H17f zenon_H1a zenon_H174 zenon_Hc0. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.33/1.52 apply (zenon_L1119_); trivial. % 1.33/1.52 apply (zenon_L1134_); trivial. % 1.33/1.52 (* end of lemma zenon_L1135_ *) % 1.33/1.52 assert (zenon_L1136_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((hskp26)\/(hskp11)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> (~(hskp3)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H19b zenon_H1e1 zenon_H13b zenon_H8a zenon_H24f zenon_H285 zenon_H104 zenon_H203 zenon_H155 zenon_H2d6 zenon_H1e7 zenon_H1c3 zenon_H1e5 zenon_H17f zenon_H66 zenon_H174 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H5 zenon_H18d zenon_H15a zenon_H186 zenon_H185 zenon_H184 zenon_H30 zenon_H1eb zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H28d zenon_H1ba zenon_H1a zenon_H1c zenon_Hc0 zenon_H12c zenon_H8e zenon_H1bf. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.33/1.52 apply (zenon_L1131_); trivial. % 1.33/1.52 apply (zenon_L1135_); trivial. % 1.33/1.52 (* end of lemma zenon_L1136_ *) % 1.33/1.52 assert (zenon_L1137_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (ndr1_0) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H8e zenon_H30 zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H83 zenon_H1e7 zenon_Hf zenon_H184 zenon_H185 zenon_H186 zenon_H15a zenon_H18d. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.52 apply (zenon_L120_); trivial. % 1.33/1.52 apply (zenon_L1120_); trivial. % 1.33/1.52 (* end of lemma zenon_L1137_ *) % 1.33/1.52 assert (zenon_L1138_ : ((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H87 zenon_Hc0 zenon_H24f zenon_H46 zenon_H174 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H4b zenon_H4c zenon_H4d zenon_H1eb zenon_Hca zenon_Hcb zenon_Hcc zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.33/1.52 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.33/1.52 apply (zenon_L630_); trivial. % 1.33/1.52 apply (zenon_L916_); trivial. % 1.33/1.52 (* end of lemma zenon_L1138_ *) % 1.33/1.52 assert (zenon_L1139_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H8b zenon_H12c zenon_H8a zenon_Hc0 zenon_H24f zenon_H46 zenon_H174 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1c3 zenon_H285 zenon_H12f zenon_H130 zenon_H12e zenon_H90 zenon_H91 zenon_H92 zenon_H160 zenon_H15e zenon_H15f zenon_H106 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.52 apply (zenon_L1121_); trivial. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.33/1.52 apply (zenon_L953_); trivial. % 1.33/1.52 apply (zenon_L1138_); trivial. % 1.33/1.52 (* end of lemma zenon_L1139_ *) % 1.33/1.52 assert (zenon_L1140_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H137 zenon_H8e zenon_H12c zenon_H8a zenon_Hc0 zenon_H24f zenon_H46 zenon_H174 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1c3 zenon_H285 zenon_H90 zenon_H91 zenon_H92 zenon_H160 zenon_H15e zenon_H15f zenon_H106 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H184 zenon_H185 zenon_H186 zenon_H15a zenon_H18d. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.52 apply (zenon_L120_); trivial. % 1.33/1.52 apply (zenon_L1139_); trivial. % 1.33/1.52 (* end of lemma zenon_L1140_ *) % 1.33/1.52 assert (zenon_L1141_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c1_1 (a598))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> (~(hskp3)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (ndr1_0) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H1e1 zenon_H13b zenon_H12c zenon_H8a zenon_Hc0 zenon_H24f zenon_H46 zenon_H174 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1c3 zenon_H285 zenon_H15e zenon_H106 zenon_H28d zenon_H15f zenon_H160 zenon_H125 zenon_H1f6 zenon_H203 zenon_H207 zenon_H18d zenon_H15a zenon_H186 zenon_H185 zenon_H184 zenon_Hf zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H8e. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.33/1.52 apply (zenon_L1137_); trivial. % 1.33/1.52 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.33/1.52 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.33/1.52 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.33/1.52 apply (zenon_L911_); trivial. % 1.33/1.52 apply (zenon_L1140_); trivial. % 1.33/1.52 (* end of lemma zenon_L1141_ *) % 1.33/1.52 assert (zenon_L1142_ : ((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> (~(hskp3)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H1bc zenon_H8e zenon_H159 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H222 zenon_H42 zenon_H160 zenon_H15e zenon_H15f zenon_H1eb zenon_H2d6 zenon_H15a zenon_H2ca zenon_H2c8 zenon_Hca zenon_Hcb zenon_Hcc zenon_H155. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.52 apply (zenon_L1132_); trivial. % 1.33/1.52 apply (zenon_L891_); trivial. % 1.33/1.52 (* end of lemma zenon_L1142_ *) % 1.33/1.52 assert (zenon_L1143_ : ((ndr1_0)/\((c1_1 (a593))/\((c3_1 (a593))/\(~(c2_1 (a593)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp3)\/(hskp4))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((hskp26)\/(hskp11)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> (~(hskp3)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H19f zenon_H1a0 zenon_H181 zenon_H19b zenon_H1e1 zenon_H13b zenon_H8a zenon_H24f zenon_H285 zenon_H104 zenon_H203 zenon_H155 zenon_H2d6 zenon_H1e7 zenon_H1c3 zenon_H1e5 zenon_H17f zenon_H66 zenon_H174 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H5 zenon_H18d zenon_H15a zenon_H30 zenon_H1eb zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H28d zenon_H1ba zenon_H1c zenon_Hc0 zenon_H12c zenon_H8e zenon_H1bf zenon_H6a zenon_H62 zenon_H31 zenon_H106 zenon_H125 zenon_H1f6 zenon_H207 zenon_H42 zenon_H222 zenon_H159 zenon_H209. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.33/1.52 apply (zenon_L1136_); trivial. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.33/1.52 apply (zenon_L106_); trivial. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.33/1.52 apply (zenon_L1141_); trivial. % 1.33/1.52 apply (zenon_L1142_); trivial. % 1.33/1.52 apply (zenon_L128_); trivial. % 1.33/1.52 (* end of lemma zenon_L1143_ *) % 1.33/1.52 assert (zenon_L1144_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(c0_1 (a601))) -> (~(c2_1 (a601))) -> (~(c1_1 (a601))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (ndr1_0) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H30 zenon_H104 zenon_Hcc zenon_Hcb zenon_Hca zenon_H237 zenon_H22c zenon_H22b zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H257 zenon_H258 zenon_H259 zenon_H1eb zenon_Hf zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H83 zenon_H1e7. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.33/1.52 apply (zenon_L635_); trivial. % 1.33/1.52 apply (zenon_L1061_); trivial. % 1.33/1.52 (* end of lemma zenon_L1144_ *) % 1.33/1.52 assert (zenon_L1145_ : ((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H2c5 zenon_H1e1 zenon_H13b zenon_H8e zenon_H12c zenon_H8a zenon_H24f zenon_H1c3 zenon_H285 zenon_H1c zenon_H1a zenon_Hc0 zenon_H28d zenon_H289 zenon_H17f zenon_H203 zenon_H6c zenon_H6d zenon_H6e zenon_H155 zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H30. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.33/1.52 apply (zenon_L1144_); trivial. % 1.33/1.52 apply (zenon_L1124_); trivial. % 1.33/1.52 (* end of lemma zenon_L1145_ *) % 1.33/1.52 assert (zenon_L1146_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a590))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((hskp26)\/(hskp11)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H19b zenon_H1bf zenon_H2f2 zenon_H1e1 zenon_H13b zenon_H8e zenon_H12c zenon_H285 zenon_H28d zenon_H289 zenon_H203 zenon_H155 zenon_H1e7 zenon_H1eb zenon_H104 zenon_H30 zenon_H242 zenon_H77 zenon_H40 zenon_H22b zenon_H24f zenon_H8a zenon_H254 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1e5 zenon_H17f zenon_H174 zenon_H5 zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H22c zenon_H237 zenon_H1a zenon_H1c zenon_Hc0 zenon_H66. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.33/1.52 apply (zenon_L656_); trivial. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.33/1.52 apply (zenon_L1119_); trivial. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.33/1.52 apply (zenon_L925_); trivial. % 1.33/1.52 apply (zenon_L1145_); trivial. % 1.33/1.52 (* end of lemma zenon_L1146_ *) % 1.33/1.52 assert (zenon_L1147_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(c0_1 (a601))) -> (~(c2_1 (a601))) -> (~(c1_1 (a601))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (ndr1_0) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(hskp18)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H30 zenon_H104 zenon_Hcc zenon_Hcb zenon_Hca zenon_H237 zenon_H22c zenon_H22b zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H257 zenon_H258 zenon_H259 zenon_H1eb zenon_Hf zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H100 zenon_H28d. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.33/1.52 apply (zenon_L686_); trivial. % 1.33/1.52 apply (zenon_L1061_); trivial. % 1.33/1.52 (* end of lemma zenon_L1147_ *) % 1.33/1.52 assert (zenon_L1148_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c1_1 (a601))) -> (~(c2_1 (a601))) -> (~(c0_1 (a601))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H12c zenon_H8a zenon_H24f zenon_Ha zenon_H123 zenon_H285 zenon_H12f zenon_H130 zenon_H12e zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hf zenon_H1eb zenon_H259 zenon_H258 zenon_H257 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H30. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.52 apply (zenon_L1147_); trivial. % 1.33/1.52 apply (zenon_L1048_); trivial. % 1.33/1.52 (* end of lemma zenon_L1148_ *) % 1.33/1.52 assert (zenon_L1149_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H8b zenon_H12c zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_Hca zenon_Hcb zenon_Hcc zenon_H285 zenon_H12f zenon_H130 zenon_H12e zenon_H90 zenon_H91 zenon_H92 zenon_H160 zenon_H15e zenon_H15f zenon_H106 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.52 apply (zenon_L1121_); trivial. % 1.33/1.52 apply (zenon_L955_); trivial. % 1.33/1.52 (* end of lemma zenon_L1149_ *) % 1.33/1.52 assert (zenon_L1150_ : ((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H2c5 zenon_H1e1 zenon_H13b zenon_H8e zenon_H160 zenon_H15e zenon_H15f zenon_H106 zenon_H28d zenon_H285 zenon_H123 zenon_H24f zenon_H8a zenon_H12c zenon_H203 zenon_H6c zenon_H6d zenon_H6e zenon_H155 zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H30. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.33/1.52 apply (zenon_L1144_); trivial. % 1.33/1.52 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.33/1.52 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.33/1.52 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.33/1.52 apply (zenon_L643_); trivial. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.33/1.52 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.52 apply (zenon_L1148_); trivial. % 1.33/1.52 apply (zenon_L1149_); trivial. % 1.33/1.52 (* end of lemma zenon_L1150_ *) % 1.33/1.52 assert (zenon_L1151_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.33/1.52 do 0 intro. intros zenon_H197 zenon_H1bf zenon_H2f2 zenon_H1e1 zenon_H13b zenon_H8e zenon_H160 zenon_H15e zenon_H15f zenon_H106 zenon_H28d zenon_H285 zenon_H123 zenon_H12c zenon_H203 zenon_H155 zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H1eb zenon_H104 zenon_H30 zenon_H242 zenon_H77 zenon_H22b zenon_H22c zenon_H237 zenon_H24f zenon_H8a zenon_H254 zenon_H48 zenon_H40 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H66. % 1.33/1.52 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.33/1.53 apply (zenon_L872_); trivial. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.33/1.53 apply (zenon_L925_); trivial. % 1.33/1.53 apply (zenon_L1150_); trivial. % 1.33/1.53 (* end of lemma zenon_L1151_ *) % 1.33/1.53 assert (zenon_L1152_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((hskp26)\/(hskp11)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(c0_1 (a590))) -> (~(hskp8)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> False). % 1.33/1.53 do 0 intro. intros zenon_H209 zenon_H106 zenon_H123 zenon_H48 zenon_H31 zenon_H255 zenon_H6a zenon_H66 zenon_Hc0 zenon_H1c zenon_H237 zenon_H22c zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3 zenon_H5 zenon_H174 zenon_H17f zenon_H1e5 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H254 zenon_H8a zenon_H24f zenon_H22b zenon_H40 zenon_H77 zenon_H242 zenon_H30 zenon_H104 zenon_H1eb zenon_H1e7 zenon_H155 zenon_H203 zenon_H289 zenon_H28d zenon_H285 zenon_H12c zenon_H8e zenon_H13b zenon_H1e1 zenon_H2f2 zenon_H1bf zenon_H19b. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.33/1.53 apply (zenon_L1146_); trivial. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.33/1.53 apply (zenon_L888_); trivial. % 1.33/1.53 apply (zenon_L1151_); trivial. % 1.33/1.53 (* end of lemma zenon_L1152_ *) % 1.33/1.53 assert (zenon_L1153_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.33/1.53 do 0 intro. intros zenon_H8b zenon_H12c zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H155 zenon_H6e zenon_H6d zenon_H6c zenon_Hcc zenon_Hcb zenon_Hca zenon_H12f zenon_H130 zenon_H12e zenon_H285 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.53 apply (zenon_L1121_); trivial. % 1.33/1.53 apply (zenon_L1050_); trivial. % 1.33/1.53 (* end of lemma zenon_L1153_ *) % 1.33/1.53 assert (zenon_L1154_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> (~(hskp3)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> False). % 1.33/1.53 do 0 intro. intros zenon_H137 zenon_H8e zenon_H12c zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H285 zenon_H28d zenon_H2c9 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H2d6 zenon_H15a zenon_H2ca zenon_H2c8 zenon_Hca zenon_Hcb zenon_Hcc zenon_H6c zenon_H6d zenon_H6e zenon_H155. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.53 apply (zenon_L1132_); trivial. % 1.33/1.53 apply (zenon_L1153_); trivial. % 1.33/1.53 (* end of lemma zenon_L1154_ *) % 1.33/1.53 assert (zenon_L1155_ : ((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (~(hskp3)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.33/1.53 do 0 intro. intros zenon_H1bc zenon_H1e1 zenon_H13b zenon_H12c zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H285 zenon_H28d zenon_H203 zenon_H155 zenon_Hcc zenon_Hcb zenon_Hca zenon_H2c8 zenon_H2ca zenon_H15a zenon_H2d6 zenon_H1e7 zenon_H2c9 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H8e. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.33/1.53 apply (zenon_L1133_); trivial. % 1.33/1.53 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.33/1.53 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.33/1.53 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.33/1.53 apply (zenon_L643_); trivial. % 1.33/1.53 apply (zenon_L1154_); trivial. % 1.33/1.53 (* end of lemma zenon_L1155_ *) % 1.33/1.53 assert (zenon_L1156_ : ((ndr1_0)/\((c1_1 (a593))/\((c3_1 (a593))/\(~(c2_1 (a593)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp3)\/(hskp4))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((hskp26)\/(hskp11)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> (~(hskp3)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> False). % 1.33/1.53 do 0 intro. intros zenon_H19f zenon_H1a0 zenon_H181 zenon_H19b zenon_H1e1 zenon_H13b zenon_H8a zenon_H24f zenon_H285 zenon_H104 zenon_H203 zenon_H155 zenon_H2d6 zenon_H1e7 zenon_H1c3 zenon_H1e5 zenon_H17f zenon_H66 zenon_H174 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H5 zenon_H18d zenon_H15a zenon_H30 zenon_H1eb zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H28d zenon_H1ba zenon_H1c zenon_Hc0 zenon_H12c zenon_H8e zenon_H1bf zenon_H6a zenon_H62 zenon_H31 zenon_H106 zenon_H125 zenon_H1f6 zenon_H207 zenon_H22b zenon_H22c zenon_H237 zenon_H209. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.33/1.53 apply (zenon_L1136_); trivial. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.33/1.53 apply (zenon_L106_); trivial. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.33/1.53 apply (zenon_L1141_); trivial. % 1.33/1.53 apply (zenon_L1155_); trivial. % 1.33/1.53 apply (zenon_L128_); trivial. % 1.33/1.53 (* end of lemma zenon_L1156_ *) % 1.33/1.53 assert (zenon_L1157_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (~(hskp4)) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> (ndr1_0) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/((hskp0)\/(hskp11))) -> False). % 1.33/1.53 do 0 intro. intros zenon_H19b zenon_H1bf zenon_H8e zenon_H12c zenon_H8a zenon_H24f zenon_H1c zenon_H1ba zenon_H285 zenon_H28d zenon_H274 zenon_H30 zenon_H289 zenon_H155 zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1e5 zenon_H17f zenon_H1a zenon_H174 zenon_Hc0 zenon_Hf zenon_H276 zenon_H277 zenon_H278 zenon_H27f zenon_H281. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.33/1.53 apply (zenon_L267_); trivial. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.33/1.53 apply (zenon_L1119_); trivial. % 1.33/1.53 apply (zenon_L695_); trivial. % 1.33/1.53 (* end of lemma zenon_L1157_ *) % 1.33/1.53 assert (zenon_L1158_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/((hskp0)\/(hskp11))) -> (~(hskp0)) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (ndr1_0) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> False). % 1.33/1.53 do 0 intro. intros zenon_H209 zenon_H159 zenon_H222 zenon_H42 zenon_H1eb zenon_H48 zenon_H40 zenon_H66 zenon_H281 zenon_H27f zenon_H278 zenon_H277 zenon_H276 zenon_Hf zenon_Hc0 zenon_H174 zenon_H17f zenon_H1e5 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3 zenon_H155 zenon_H289 zenon_H30 zenon_H274 zenon_H28d zenon_H285 zenon_H1ba zenon_H1c zenon_H24f zenon_H8a zenon_H12c zenon_H8e zenon_H1bf zenon_H19b. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.33/1.53 apply (zenon_L1157_); trivial. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.33/1.53 apply (zenon_L267_); trivial. % 1.33/1.53 apply (zenon_L1128_); trivial. % 1.33/1.53 (* end of lemma zenon_L1158_ *) % 1.33/1.53 assert (zenon_L1159_ : ((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp12)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c0_1 (a611)) -> (c1_1 (a611)) -> (c3_1 (a611)) -> False). % 1.33/1.53 do 0 intro. intros zenon_Hbc zenon_H24f zenon_Hcc zenon_Hcb zenon_Hca zenon_H276 zenon_H277 zenon_H278 zenon_H4b zenon_H4c zenon_H4d zenon_H274 zenon_H46 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H7a zenon_H7b zenon_H7c. % 1.33/1.53 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.33/1.53 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.33/1.53 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.33/1.53 apply (zenon_L273_); trivial. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.33/1.53 apply (zenon_L913_); trivial. % 1.33/1.53 apply (zenon_L31_); trivial. % 1.33/1.53 (* end of lemma zenon_L1159_ *) % 1.33/1.53 assert (zenon_L1160_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.33/1.53 do 0 intro. intros zenon_H8b zenon_H12c zenon_H8a zenon_Hc0 zenon_H24f zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H46 zenon_H174 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1c3 zenon_H285 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.53 apply (zenon_L693_); trivial. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.33/1.53 apply (zenon_L278_); trivial. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.33/1.53 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.33/1.53 apply (zenon_L630_); trivial. % 1.33/1.53 apply (zenon_L1159_); trivial. % 1.33/1.53 (* end of lemma zenon_L1160_ *) % 1.33/1.53 assert (zenon_L1161_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (ndr1_0) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> False). % 1.33/1.53 do 0 intro. intros zenon_H8e zenon_H12c zenon_H8a zenon_Hc0 zenon_H24f zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H46 zenon_H174 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1c3 zenon_H285 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30 zenon_Hf zenon_H184 zenon_H185 zenon_H186 zenon_H15a zenon_H18d. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.53 apply (zenon_L120_); trivial. % 1.33/1.53 apply (zenon_L1160_); trivial. % 1.33/1.53 (* end of lemma zenon_L1161_ *) % 1.33/1.53 assert (zenon_L1162_ : ((ndr1_0)/\((c1_1 (a593))/\((c3_1 (a593))/\(~(c2_1 (a593)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp3)\/(hskp4))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((hskp26)\/(hskp11)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> (~(hskp3)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> False). % 1.33/1.53 do 0 intro. intros zenon_H19f zenon_H1a0 zenon_H181 zenon_H19b zenon_H1e1 zenon_H13b zenon_H8a zenon_H24f zenon_H285 zenon_H104 zenon_H203 zenon_H155 zenon_H2d6 zenon_H1e7 zenon_H1c3 zenon_H1e5 zenon_H17f zenon_H66 zenon_H174 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H5 zenon_H18d zenon_H15a zenon_H30 zenon_H1eb zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H28d zenon_H1ba zenon_H1c zenon_Hc0 zenon_H12c zenon_H8e zenon_H1bf zenon_H6a zenon_H62 zenon_H31 zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H42 zenon_H222 zenon_H159 zenon_H209. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.33/1.53 apply (zenon_L1136_); trivial. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.33/1.53 apply (zenon_L106_); trivial. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.33/1.53 apply (zenon_L1161_); trivial. % 1.33/1.53 apply (zenon_L1142_); trivial. % 1.33/1.53 apply (zenon_L128_); trivial. % 1.33/1.53 (* end of lemma zenon_L1162_ *) % 1.33/1.53 assert (zenon_L1163_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c1_1 (a601))) -> (~(c2_1 (a601))) -> (~(c0_1 (a601))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.33/1.53 do 0 intro. intros zenon_H12c zenon_H8a zenon_H24f zenon_Ha zenon_H123 zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hf zenon_H1eb zenon_H259 zenon_H258 zenon_H257 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H30. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.53 apply (zenon_L1147_); trivial. % 1.33/1.53 apply (zenon_L964_); trivial. % 1.33/1.53 (* end of lemma zenon_L1163_ *) % 1.33/1.53 assert (zenon_L1164_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> (ndr1_0) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/((hskp0)\/(hskp11))) -> False). % 1.33/1.53 do 0 intro. intros zenon_H19b zenon_H1bf zenon_H2f2 zenon_H1e1 zenon_H13b zenon_H8e zenon_H28d zenon_H285 zenon_H123 zenon_H12c zenon_H203 zenon_H155 zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H1eb zenon_H104 zenon_H30 zenon_H242 zenon_H77 zenon_H22b zenon_H22c zenon_H237 zenon_H24f zenon_H8a zenon_H254 zenon_H48 zenon_H40 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H66 zenon_Hf zenon_H276 zenon_H277 zenon_H278 zenon_H27f zenon_H281. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.33/1.53 apply (zenon_L267_); trivial. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.33/1.53 apply (zenon_L872_); trivial. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.33/1.53 apply (zenon_L925_); trivial. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.33/1.53 apply (zenon_L1144_); trivial. % 1.33/1.53 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.33/1.53 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.33/1.53 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.33/1.53 apply (zenon_L643_); trivial. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.53 apply (zenon_L1163_); trivial. % 1.33/1.53 apply (zenon_L1153_); trivial. % 1.33/1.53 (* end of lemma zenon_L1164_ *) % 1.33/1.53 assert (zenon_L1165_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> False). % 1.33/1.53 do 0 intro. intros zenon_H197 zenon_H8e zenon_H12c zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H285 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30 zenon_H184 zenon_H185 zenon_H186 zenon_H15a zenon_H18d. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.33/1.53 apply (zenon_L120_); trivial. % 1.33/1.53 apply (zenon_L860_); trivial. % 1.33/1.53 (* end of lemma zenon_L1165_ *) % 1.33/1.53 assert (zenon_L1166_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((hskp26)\/(hskp11)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> (~(hskp3)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c0_1 (a590))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> False). % 1.33/1.53 do 0 intro. intros zenon_H209 zenon_H31 zenon_H5f zenon_H62 zenon_H6a zenon_H66 zenon_Hc0 zenon_H1c zenon_H237 zenon_H22c zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3 zenon_H5 zenon_H18d zenon_H15a zenon_H186 zenon_H185 zenon_H184 zenon_H30 zenon_H274 zenon_H278 zenon_H277 zenon_H276 zenon_H28d zenon_H285 zenon_H22b zenon_H24f zenon_H8a zenon_H12c zenon_H8e zenon_H19b. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.33/1.53 apply (zenon_L656_); trivial. % 1.33/1.53 apply (zenon_L1165_); trivial. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.33/1.53 apply (zenon_L106_); trivial. % 1.33/1.53 apply (zenon_L1165_); trivial. % 1.33/1.53 (* end of lemma zenon_L1166_ *) % 1.33/1.53 assert (zenon_L1167_ : ((ndr1_0)/\((c1_1 (a593))/\((c3_1 (a593))/\(~(c2_1 (a593)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> ((hskp26)\/(hskp11)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> False). % 1.33/1.53 do 0 intro. intros zenon_H19f zenon_H1a0 zenon_H181 zenon_H17f zenon_H19b zenon_H8e zenon_H12c zenon_H8a zenon_H24f zenon_H22b zenon_H285 zenon_H28d zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30 zenon_H15a zenon_H18d zenon_H5 zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H22c zenon_H237 zenon_H1c zenon_Hc0 zenon_H66 zenon_H6a zenon_H62 zenon_H31 zenon_H209. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.33/1.53 apply (zenon_L1166_); trivial. % 1.33/1.53 apply (zenon_L128_); trivial. % 1.33/1.53 (* end of lemma zenon_L1167_ *) % 1.33/1.53 assert (zenon_L1168_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (ndr1_0) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(hskp18)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> False). % 1.33/1.53 do 0 intro. intros zenon_H30 zenon_H128 zenon_H42 zenon_H125 zenon_H176 zenon_H177 zenon_H178 zenon_H3 zenon_H2ab zenon_Hf zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H100 zenon_H28d. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.33/1.53 apply (zenon_L686_); trivial. % 1.33/1.53 apply (zenon_L734_); trivial. % 1.33/1.53 (* end of lemma zenon_L1168_ *) % 1.33/1.53 assert (zenon_L1169_ : ((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((hskp26)\/(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.33/1.53 do 0 intro. intros zenon_H1bc zenon_H12c zenon_H66 zenon_Hc0 zenon_H1c zenon_H1a zenon_H1ba zenon_H5 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H2ab zenon_H3 zenon_H178 zenon_H177 zenon_H176 zenon_H125 zenon_H42 zenon_H128 zenon_H30. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.33/1.53 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.33/1.53 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.33/1.53 apply (zenon_L1168_); trivial. % 1.33/1.53 apply (zenon_L139_); trivial. % 1.33/1.53 (* end of lemma zenon_L1169_ *) % 1.33/1.53 assert (zenon_L1170_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((hskp26)\/(hskp11)) -> (~(hskp11)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.41/1.53 do 0 intro. intros zenon_H1bf zenon_H12c zenon_Hc0 zenon_H1c zenon_H1a zenon_H1ba zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H2ab zenon_H178 zenon_H177 zenon_H176 zenon_H125 zenon_H42 zenon_H128 zenon_H30 zenon_H5 zenon_H3 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H66. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.41/1.53 apply (zenon_L893_); trivial. % 1.41/1.53 apply (zenon_L1169_); trivial. % 1.41/1.53 (* end of lemma zenon_L1170_ *) % 1.41/1.53 assert (zenon_L1171_ : ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((hskp26)\/(hskp11)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> False). % 1.41/1.53 do 0 intro. intros zenon_H1a0 zenon_H255 zenon_H19b zenon_H159 zenon_H155 zenon_H297 zenon_H298 zenon_H299 zenon_H222 zenon_H48 zenon_H40 zenon_H66 zenon_H174 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H5 zenon_H254 zenon_H128 zenon_H42 zenon_H125 zenon_H242 zenon_H30 zenon_H2ab zenon_H1eb zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H28d zenon_H1ba zenon_H1c zenon_Hc0 zenon_H12c zenon_H2f2 zenon_H1bf zenon_H6a zenon_H62 zenon_H31 zenon_H209. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.41/1.53 apply (zenon_L1118_); trivial. % 1.41/1.53 apply (zenon_L972_); trivial. % 1.41/1.53 apply (zenon_L974_); trivial. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.41/1.53 apply (zenon_L1170_); trivial. % 1.41/1.53 apply (zenon_L972_); trivial. % 1.41/1.53 apply (zenon_L975_); trivial. % 1.41/1.53 (* end of lemma zenon_L1171_ *) % 1.41/1.53 assert (zenon_L1172_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> (~(hskp3)) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(hskp14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> False). % 1.41/1.53 do 0 intro. intros zenon_H8e zenon_H30 zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H83 zenon_H1e7 zenon_H2d6 zenon_H15a zenon_H2ca zenon_H2c9 zenon_H2c8 zenon_Hf zenon_H297 zenon_H298 zenon_H299 zenon_Hd3 zenon_H2ad. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.41/1.53 apply (zenon_L715_); trivial. % 1.41/1.53 apply (zenon_L1120_); trivial. % 1.41/1.53 (* end of lemma zenon_L1172_ *) % 1.41/1.53 assert (zenon_L1173_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> (~(hskp14)) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (ndr1_0) -> (~(c3_1 (a586))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(hskp3)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.41/1.53 do 0 intro. intros zenon_H1e1 zenon_H13b zenon_H12c zenon_H8a zenon_H24f zenon_H1c3 zenon_Hcc zenon_Hcb zenon_Hca zenon_H285 zenon_H1c zenon_H1a zenon_H104 zenon_Hc0 zenon_H28d zenon_H203 zenon_H2ad zenon_Hd3 zenon_H299 zenon_H298 zenon_H297 zenon_Hf zenon_H2c8 zenon_H2c9 zenon_H2ca zenon_H15a zenon_H2d6 zenon_H1e7 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H8e. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.41/1.53 apply (zenon_L1172_); trivial. % 1.41/1.53 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.41/1.53 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.41/1.53 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.41/1.53 apply (zenon_L823_); trivial. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.41/1.53 apply (zenon_L715_); trivial. % 1.41/1.53 apply (zenon_L1122_); trivial. % 1.41/1.53 (* end of lemma zenon_L1173_ *) % 1.41/1.53 assert (zenon_L1174_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (~(hskp16)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> False). % 1.41/1.53 do 0 intro. intros zenon_Hc0 zenon_H155 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H107 zenon_Hd8 zenon_Hd7 zenon_H46 zenon_H174 zenon_H90 zenon_H91 zenon_H92 zenon_Hfb zenon_H203 zenon_Hf zenon_Hca zenon_Hcb zenon_Hcc zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3. % 1.41/1.53 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.41/1.53 apply (zenon_L630_); trivial. % 1.41/1.53 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.41/1.53 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.41/1.53 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14a | zenon_intro zenon_H158 ]. % 1.41/1.53 apply (zenon_L642_); trivial. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H6b ]. % 1.41/1.53 apply (zenon_L51_); trivial. % 1.41/1.53 apply (zenon_L1095_); trivial. % 1.41/1.53 (* end of lemma zenon_L1174_ *) % 1.41/1.53 assert (zenon_L1175_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (~(c3_1 (a586))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(hskp3)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> False). % 1.41/1.53 do 0 intro. intros zenon_H197 zenon_H1bf zenon_H1e1 zenon_H13b zenon_H12c zenon_H8a zenon_H24f zenon_H1c3 zenon_H285 zenon_H1c zenon_H1a zenon_H104 zenon_Hc0 zenon_H28d zenon_H203 zenon_H2ad zenon_H299 zenon_H298 zenon_H297 zenon_H2c8 zenon_H2c9 zenon_H2ca zenon_H15a zenon_H2d6 zenon_H1e7 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H8e zenon_H184 zenon_H185 zenon_H186 zenon_H18d zenon_H155 zenon_H107 zenon_H174 zenon_H198. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.41/1.53 apply (zenon_L1173_); trivial. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.41/1.53 apply (zenon_L1137_); trivial. % 1.41/1.53 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.41/1.53 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.41/1.53 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.41/1.53 apply (zenon_L1174_); trivial. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.41/1.53 apply (zenon_L120_); trivial. % 1.41/1.53 apply (zenon_L1122_); trivial. % 1.41/1.53 apply (zenon_L1134_); trivial. % 1.41/1.53 (* end of lemma zenon_L1175_ *) % 1.41/1.53 assert (zenon_L1176_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((hskp26)\/(hskp11)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> (~(hskp3)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> False). % 1.41/1.53 do 0 intro. intros zenon_H19b zenon_H1e1 zenon_H13b zenon_H8a zenon_H24f zenon_H1c3 zenon_H285 zenon_H104 zenon_H203 zenon_H2ad zenon_H299 zenon_H298 zenon_H297 zenon_H2d6 zenon_H1e7 zenon_H155 zenon_H107 zenon_H198 zenon_H66 zenon_H174 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H5 zenon_H18d zenon_H15a zenon_H186 zenon_H185 zenon_H184 zenon_H30 zenon_H1eb zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H28d zenon_H1ba zenon_H1a zenon_H1c zenon_Hc0 zenon_H12c zenon_H8e zenon_H1bf. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.41/1.53 apply (zenon_L1131_); trivial. % 1.41/1.53 apply (zenon_L1175_); trivial. % 1.41/1.53 (* end of lemma zenon_L1176_ *) % 1.41/1.53 assert (zenon_L1177_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> (~(hskp14)) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (ndr1_0) -> (~(c3_1 (a586))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(hskp3)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.41/1.53 do 0 intro. intros zenon_H1e1 zenon_H13b zenon_H12c zenon_H8a zenon_Hc0 zenon_H24f zenon_H46 zenon_H174 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1c3 zenon_H285 zenon_H160 zenon_H15e zenon_H15f zenon_H106 zenon_H28d zenon_H203 zenon_H2ad zenon_Hd3 zenon_H299 zenon_H298 zenon_H297 zenon_Hf zenon_H2c8 zenon_H2c9 zenon_H2ca zenon_H15a zenon_H2d6 zenon_H1e7 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H8e. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.41/1.53 apply (zenon_L1172_); trivial. % 1.41/1.53 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.41/1.53 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.41/1.53 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.41/1.53 apply (zenon_L823_); trivial. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.41/1.53 apply (zenon_L715_); trivial. % 1.41/1.53 apply (zenon_L1139_); trivial. % 1.41/1.53 (* end of lemma zenon_L1177_ *) % 1.41/1.53 assert (zenon_L1178_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> (~(hskp3)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.41/1.53 do 0 intro. intros zenon_H194 zenon_H1e1 zenon_H13b zenon_H12c zenon_H8a zenon_H24f zenon_H285 zenon_H160 zenon_H15e zenon_H15f zenon_H106 zenon_H28d zenon_H1c3 zenon_Hcc zenon_Hcb zenon_Hca zenon_H203 zenon_H174 zenon_H46 zenon_H107 zenon_H155 zenon_Hc0 zenon_H18d zenon_H15a zenon_H186 zenon_H185 zenon_H184 zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H8e. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.41/1.53 apply (zenon_L1137_); trivial. % 1.41/1.53 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.41/1.53 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.41/1.53 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.41/1.53 apply (zenon_L1174_); trivial. % 1.41/1.53 apply (zenon_L1140_); trivial. % 1.41/1.53 (* end of lemma zenon_L1178_ *) % 1.41/1.53 assert (zenon_L1179_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> (~(hskp3)) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> False). % 1.41/1.53 do 0 intro. intros zenon_H198 zenon_H107 zenon_H155 zenon_H18d zenon_H186 zenon_H185 zenon_H184 zenon_H8e zenon_H30 zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H1e7 zenon_H2d6 zenon_H15a zenon_H2ca zenon_H2c9 zenon_H2c8 zenon_Hf zenon_H297 zenon_H298 zenon_H299 zenon_H2ad zenon_H203 zenon_H28d zenon_H106 zenon_H15f zenon_H15e zenon_H160 zenon_H285 zenon_H1c3 zenon_Hcc zenon_Hcb zenon_Hca zenon_H174 zenon_H46 zenon_H24f zenon_Hc0 zenon_H8a zenon_H12c zenon_H13b zenon_H1e1. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.41/1.53 apply (zenon_L1177_); trivial. % 1.41/1.53 apply (zenon_L1178_); trivial. % 1.41/1.53 (* end of lemma zenon_L1179_ *) % 1.41/1.53 assert (zenon_L1180_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (~(c3_1 (a586))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(hskp3)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> False). % 1.41/1.53 do 0 intro. intros zenon_H197 zenon_H1bf zenon_H159 zenon_H222 zenon_H42 zenon_H1e1 zenon_H13b zenon_H12c zenon_H8a zenon_Hc0 zenon_H24f zenon_H174 zenon_H1c3 zenon_H285 zenon_H160 zenon_H15e zenon_H15f zenon_H106 zenon_H28d zenon_H203 zenon_H2ad zenon_H299 zenon_H298 zenon_H297 zenon_H2c8 zenon_H2c9 zenon_H2ca zenon_H15a zenon_H2d6 zenon_H1e7 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H8e zenon_H184 zenon_H185 zenon_H186 zenon_H18d zenon_H155 zenon_H107 zenon_H198. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.41/1.53 apply (zenon_L1179_); trivial. % 1.41/1.53 apply (zenon_L1142_); trivial. % 1.41/1.53 (* end of lemma zenon_L1180_ *) % 1.41/1.53 assert (zenon_L1181_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (~(c3_1 (a586))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(hskp3)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((hskp26)\/(hskp11)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.41/1.53 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H1bf zenon_H159 zenon_H222 zenon_H42 zenon_H1e1 zenon_H13b zenon_H12c zenon_H8a zenon_Hc0 zenon_H24f zenon_H174 zenon_H1c3 zenon_H285 zenon_H106 zenon_H28d zenon_H203 zenon_H2ad zenon_H299 zenon_H298 zenon_H297 zenon_H2c8 zenon_H2c9 zenon_H2ca zenon_H15a zenon_H2d6 zenon_H1e7 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H8e zenon_H184 zenon_H185 zenon_H186 zenon_H18d zenon_H155 zenon_H107 zenon_H198 zenon_H31 zenon_H5 zenon_H5f zenon_H62 zenon_H66 zenon_H6a. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.41/1.53 apply (zenon_L106_); trivial. % 1.41/1.53 apply (zenon_L1180_); trivial. % 1.41/1.53 (* end of lemma zenon_L1181_ *) % 1.41/1.53 assert (zenon_L1182_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> ((hskp26)\/(hskp11)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> False). % 1.41/1.53 do 0 intro. intros zenon_H209 zenon_H159 zenon_H222 zenon_H42 zenon_H106 zenon_H31 zenon_H5f zenon_H62 zenon_H6a zenon_H1bf zenon_H8e zenon_H12c zenon_Hc0 zenon_H1c zenon_H1ba zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H1eb zenon_H30 zenon_H184 zenon_H185 zenon_H186 zenon_H15a zenon_H18d zenon_H5 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H66 zenon_H198 zenon_H107 zenon_H155 zenon_H1e7 zenon_H2d6 zenon_H297 zenon_H298 zenon_H299 zenon_H2ad zenon_H203 zenon_H104 zenon_H285 zenon_H1c3 zenon_H24f zenon_H8a zenon_H13b zenon_H1e1 zenon_H19b. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.41/1.53 apply (zenon_L1176_); trivial. % 1.41/1.53 apply (zenon_L1181_); trivial. % 1.41/1.53 (* end of lemma zenon_L1182_ *) % 1.41/1.53 assert (zenon_L1183_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp5)) -> (~(hskp6)) -> False). % 1.41/1.53 do 0 intro. intros zenon_Hc6 zenon_H128 zenon_H299 zenon_H298 zenon_H297 zenon_H176 zenon_H177 zenon_H178 zenon_H106 zenon_H125 zenon_H42. % 1.41/1.53 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.41/1.53 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.41/1.53 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H119 | zenon_intro zenon_H12b ]. % 1.41/1.53 apply (zenon_L824_); trivial. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H126 | zenon_intro zenon_H43 ]. % 1.41/1.53 exact (zenon_H125 zenon_H126). % 1.41/1.53 exact (zenon_H42 zenon_H43). % 1.41/1.53 (* end of lemma zenon_L1183_ *) % 1.41/1.53 assert (zenon_L1184_ : ((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (~(c0_1 (a601))) -> (~(c2_1 (a601))) -> (~(c1_1 (a601))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> False). % 1.41/1.53 do 0 intro. intros zenon_H32 zenon_H106 zenon_H257 zenon_H258 zenon_H259 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H92 zenon_H91 zenon_H90 zenon_H297 zenon_H298 zenon_H299. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hf. zenon_intro zenon_H33. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H1f. zenon_intro zenon_H34. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H108 ]. % 1.41/1.53 apply (zenon_L867_); trivial. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H8f | zenon_intro zenon_H9d ]. % 1.41/1.53 apply (zenon_L39_); trivial. % 1.41/1.53 apply (zenon_L320_); trivial. % 1.41/1.53 (* end of lemma zenon_L1184_ *) % 1.41/1.53 assert (zenon_L1185_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(c0_1 (a601))) -> (~(c2_1 (a601))) -> (~(c1_1 (a601))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (ndr1_0) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(hskp18)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> False). % 1.41/1.53 do 0 intro. intros zenon_H30 zenon_H106 zenon_H299 zenon_H298 zenon_H297 zenon_H92 zenon_H91 zenon_H90 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H257 zenon_H258 zenon_H259 zenon_H1eb zenon_Hf zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H100 zenon_H28d. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.41/1.53 apply (zenon_L686_); trivial. % 1.41/1.53 apply (zenon_L1184_); trivial. % 1.41/1.53 (* end of lemma zenon_L1185_ *) % 1.41/1.53 assert (zenon_L1186_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c1_1 (a601))) -> (~(c2_1 (a601))) -> (~(c0_1 (a601))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.41/1.53 do 0 intro. intros zenon_H12c zenon_H8a zenon_H24f zenon_Ha zenon_H123 zenon_H285 zenon_H12f zenon_H130 zenon_H12e zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hf zenon_H1eb zenon_H259 zenon_H258 zenon_H257 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H90 zenon_H91 zenon_H92 zenon_H297 zenon_H298 zenon_H299 zenon_H106 zenon_H30. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.41/1.53 apply (zenon_L1185_); trivial. % 1.41/1.53 apply (zenon_L1048_); trivial. % 1.41/1.53 (* end of lemma zenon_L1186_ *) % 1.41/1.53 assert (zenon_L1187_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(c0_1 (a601))) -> (~(c2_1 (a601))) -> (~(c1_1 (a601))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> False). % 1.41/1.53 do 0 intro. intros zenon_Hc6 zenon_H13b zenon_H8e zenon_H30 zenon_H106 zenon_H299 zenon_H298 zenon_H297 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H257 zenon_H258 zenon_H259 zenon_H1eb zenon_H2c9 zenon_H28d zenon_H104 zenon_H237 zenon_H22c zenon_H22b zenon_H285 zenon_H123 zenon_H24f zenon_H8a zenon_H12c zenon_H203 zenon_H2ca zenon_H2c8 zenon_Hca zenon_Hcb zenon_Hcc zenon_H6c zenon_H6d zenon_H6e zenon_H155. % 1.41/1.53 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.41/1.53 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.41/1.53 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.41/1.53 apply (zenon_L643_); trivial. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.41/1.53 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.41/1.53 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.41/1.53 apply (zenon_L1186_); trivial. % 1.41/1.53 apply (zenon_L1153_); trivial. % 1.41/1.53 (* end of lemma zenon_L1187_ *) % 1.41/1.53 assert (zenon_L1188_ : ((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H2c5 zenon_H1e1 zenon_H13b zenon_H8e zenon_H106 zenon_H299 zenon_H298 zenon_H297 zenon_H28d zenon_H285 zenon_H123 zenon_H24f zenon_H8a zenon_H12c zenon_H203 zenon_H6c zenon_H6d zenon_H6e zenon_H155 zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H30. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.41/1.54 apply (zenon_L1144_); trivial. % 1.41/1.54 apply (zenon_L1187_); trivial. % 1.41/1.54 (* end of lemma zenon_L1188_ *) % 1.41/1.54 assert (zenon_L1189_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(c0_1 (a590))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> ((hskp26)\/(hskp11)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H19b zenon_H1bf zenon_H2f2 zenon_H1e1 zenon_H13b zenon_H8e zenon_H106 zenon_H299 zenon_H298 zenon_H297 zenon_H28d zenon_H285 zenon_H123 zenon_H12c zenon_H203 zenon_H155 zenon_H1e7 zenon_H1eb zenon_H104 zenon_H30 zenon_H242 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H77 zenon_H22b zenon_H24f zenon_H8a zenon_H254 zenon_H48 zenon_H40 zenon_H5 zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H22c zenon_H237 zenon_H1a zenon_H1c zenon_Hc0 zenon_H66. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.41/1.54 apply (zenon_L656_); trivial. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.41/1.54 apply (zenon_L632_); trivial. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.41/1.54 apply (zenon_L925_); trivial. % 1.41/1.54 apply (zenon_L1188_); trivial. % 1.41/1.54 (* end of lemma zenon_L1189_ *) % 1.41/1.54 assert (zenon_L1190_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H197 zenon_H1bf zenon_H2f2 zenon_H1e1 zenon_H13b zenon_H8e zenon_H30 zenon_H106 zenon_H299 zenon_H298 zenon_H297 zenon_H1eb zenon_H2c9 zenon_H28d zenon_H104 zenon_H285 zenon_H123 zenon_H12c zenon_H203 zenon_H2ca zenon_H2c8 zenon_H155 zenon_H15e zenon_H15f zenon_H160 zenon_H85 zenon_H242 zenon_H77 zenon_H22b zenon_H22c zenon_H237 zenon_H24f zenon_H8a zenon_H254 zenon_H48 zenon_H40 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H66. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.41/1.54 apply (zenon_L872_); trivial. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.41/1.54 apply (zenon_L925_); trivial. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.41/1.54 apply (zenon_L115_); trivial. % 1.41/1.54 apply (zenon_L1187_); trivial. % 1.41/1.54 (* end of lemma zenon_L1190_ *) % 1.41/1.54 assert (zenon_L1191_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((hskp26)\/(hskp11)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H1bf zenon_H2f2 zenon_H1e1 zenon_H13b zenon_H8e zenon_H30 zenon_H106 zenon_H299 zenon_H298 zenon_H297 zenon_H1eb zenon_H2c9 zenon_H28d zenon_H104 zenon_H285 zenon_H123 zenon_H12c zenon_H203 zenon_H2ca zenon_H2c8 zenon_H155 zenon_H85 zenon_H242 zenon_H77 zenon_H22b zenon_H22c zenon_H237 zenon_H24f zenon_H8a zenon_H254 zenon_H48 zenon_H40 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H31 zenon_H5 zenon_H5f zenon_H62 zenon_H66 zenon_H6a. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.41/1.54 apply (zenon_L106_); trivial. % 1.41/1.54 apply (zenon_L1190_); trivial. % 1.41/1.54 (* end of lemma zenon_L1191_ *) % 1.41/1.54 assert (zenon_L1192_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((hskp26)\/(hskp11)) -> (~(hskp8)) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(c0_1 (a590))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H209 zenon_H85 zenon_H174 zenon_H31 zenon_H5f zenon_H62 zenon_H6a zenon_H66 zenon_Hc0 zenon_H1c zenon_H237 zenon_H22c zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3 zenon_H5 zenon_H40 zenon_H48 zenon_H254 zenon_H8a zenon_H24f zenon_H22b zenon_H77 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H242 zenon_H30 zenon_H104 zenon_H1eb zenon_H1e7 zenon_H155 zenon_H203 zenon_H12c zenon_H123 zenon_H285 zenon_H28d zenon_H297 zenon_H298 zenon_H299 zenon_H106 zenon_H8e zenon_H13b zenon_H1e1 zenon_H2f2 zenon_H1bf zenon_H19b. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.41/1.54 apply (zenon_L1189_); trivial. % 1.41/1.54 apply (zenon_L1191_); trivial. % 1.41/1.54 (* end of lemma zenon_L1192_ *) % 1.41/1.54 assert (zenon_L1193_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c1_1 (a601))) -> (~(c2_1 (a601))) -> (~(c0_1 (a601))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H137 zenon_H12c zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H176 zenon_H177 zenon_H178 zenon_H285 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H1eb zenon_H259 zenon_H258 zenon_H257 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H90 zenon_H91 zenon_H92 zenon_H297 zenon_H298 zenon_H299 zenon_H106 zenon_H30. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.41/1.54 apply (zenon_L1185_); trivial. % 1.41/1.54 apply (zenon_L826_); trivial. % 1.41/1.54 (* end of lemma zenon_L1193_ *) % 1.41/1.54 assert (zenon_L1194_ : ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(c0_1 (a590))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> ((hskp26)\/(hskp11)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H1a0 zenon_H303 zenon_H107 zenon_H2f5 zenon_H19b zenon_H1bf zenon_H2f2 zenon_H1e1 zenon_H13b zenon_H8e zenon_H106 zenon_H299 zenon_H298 zenon_H297 zenon_H28d zenon_H285 zenon_H123 zenon_H12c zenon_H203 zenon_H155 zenon_H1e7 zenon_H1eb zenon_H104 zenon_H30 zenon_H242 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H77 zenon_H22b zenon_H24f zenon_H8a zenon_H254 zenon_H48 zenon_H40 zenon_H5 zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H22c zenon_H237 zenon_H1c zenon_Hc0 zenon_H66 zenon_H6a zenon_H62 zenon_H31 zenon_H174 zenon_H85 zenon_H209. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.41/1.54 apply (zenon_L1192_); trivial. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.41/1.54 apply (zenon_L1189_); trivial. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.41/1.54 apply (zenon_L872_); trivial. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.41/1.54 apply (zenon_L925_); trivial. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.41/1.54 apply (zenon_L115_); trivial. % 1.41/1.54 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.41/1.54 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.41/1.54 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.41/1.54 apply (zenon_L1106_); trivial. % 1.41/1.54 apply (zenon_L1193_); trivial. % 1.41/1.54 apply (zenon_L1190_); trivial. % 1.41/1.54 (* end of lemma zenon_L1194_ *) % 1.41/1.54 assert (zenon_L1195_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H8b zenon_H12c zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H1c3 zenon_Hcc zenon_Hcb zenon_Hca zenon_H285 zenon_H12f zenon_H130 zenon_H12e zenon_H1c zenon_H1a zenon_H104 zenon_Hc0 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.41/1.54 apply (zenon_L1121_); trivial. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.41/1.54 apply (zenon_L679_); trivial. % 1.41/1.54 apply (zenon_L954_); trivial. % 1.41/1.54 (* end of lemma zenon_L1195_ *) % 1.41/1.54 assert (zenon_L1196_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (~(c3_1 (a586))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(hskp3)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H197 zenon_H1bf zenon_H1e1 zenon_H13b zenon_H12c zenon_H8a zenon_H24f zenon_H1c3 zenon_H285 zenon_H1c zenon_H1a zenon_H104 zenon_Hc0 zenon_H28d zenon_H203 zenon_H2ad zenon_H299 zenon_H298 zenon_H297 zenon_H2c8 zenon_H2c9 zenon_H2ca zenon_H15a zenon_H2d6 zenon_H1e7 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H8e zenon_H184 zenon_H185 zenon_H186 zenon_H18d zenon_H155 zenon_H107 zenon_H174 zenon_H22b zenon_H22c zenon_H237 zenon_H198. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.41/1.54 apply (zenon_L1173_); trivial. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.41/1.54 apply (zenon_L1137_); trivial. % 1.41/1.54 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.41/1.54 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.41/1.54 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.41/1.54 apply (zenon_L1174_); trivial. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.41/1.54 apply (zenon_L120_); trivial. % 1.41/1.54 apply (zenon_L1195_); trivial. % 1.41/1.54 apply (zenon_L1155_); trivial. % 1.41/1.54 (* end of lemma zenon_L1196_ *) % 1.41/1.54 assert (zenon_L1197_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (~(c3_1 (a586))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(hskp3)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H197 zenon_H1bf zenon_H237 zenon_H22c zenon_H22b zenon_H1e1 zenon_H13b zenon_H12c zenon_H8a zenon_Hc0 zenon_H24f zenon_H174 zenon_H1c3 zenon_H285 zenon_H160 zenon_H15e zenon_H15f zenon_H106 zenon_H28d zenon_H203 zenon_H2ad zenon_H299 zenon_H298 zenon_H297 zenon_H2c8 zenon_H2c9 zenon_H2ca zenon_H15a zenon_H2d6 zenon_H1e7 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H8e zenon_H184 zenon_H185 zenon_H186 zenon_H18d zenon_H155 zenon_H107 zenon_H198. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.41/1.54 apply (zenon_L1179_); trivial. % 1.41/1.54 apply (zenon_L1155_); trivial. % 1.41/1.54 (* end of lemma zenon_L1197_ *) % 1.41/1.54 assert (zenon_L1198_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (~(c3_1 (a586))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(hskp3)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((hskp26)\/(hskp11)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H1bf zenon_H237 zenon_H22c zenon_H22b zenon_H1e1 zenon_H13b zenon_H12c zenon_H8a zenon_Hc0 zenon_H24f zenon_H174 zenon_H1c3 zenon_H285 zenon_H106 zenon_H28d zenon_H203 zenon_H2ad zenon_H299 zenon_H298 zenon_H297 zenon_H2c8 zenon_H2c9 zenon_H2ca zenon_H15a zenon_H2d6 zenon_H1e7 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H8e zenon_H184 zenon_H185 zenon_H186 zenon_H18d zenon_H155 zenon_H107 zenon_H198 zenon_H31 zenon_H5 zenon_H5f zenon_H62 zenon_H66 zenon_H6a. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.41/1.54 apply (zenon_L106_); trivial. % 1.41/1.54 apply (zenon_L1197_); trivial. % 1.41/1.54 (* end of lemma zenon_L1198_ *) % 1.41/1.54 assert (zenon_L1199_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> ((hskp26)\/(hskp11)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H209 zenon_H106 zenon_H31 zenon_H5f zenon_H62 zenon_H6a zenon_H1bf zenon_H8e zenon_H12c zenon_Hc0 zenon_H1c zenon_H1ba zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H1eb zenon_H30 zenon_H184 zenon_H185 zenon_H186 zenon_H15a zenon_H18d zenon_H5 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H66 zenon_H198 zenon_H237 zenon_H22c zenon_H22b zenon_H107 zenon_H155 zenon_H1e7 zenon_H2d6 zenon_H297 zenon_H298 zenon_H299 zenon_H2ad zenon_H203 zenon_H104 zenon_H285 zenon_H1c3 zenon_H24f zenon_H8a zenon_H13b zenon_H1e1 zenon_H19b. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.41/1.54 apply (zenon_L1131_); trivial. % 1.41/1.54 apply (zenon_L1196_); trivial. % 1.41/1.54 apply (zenon_L1198_); trivial. % 1.41/1.54 (* end of lemma zenon_L1199_ *) % 1.41/1.54 assert (zenon_L1200_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (ndr1_0) -> (~(hskp21)) -> (~(hskp11)) -> False). % 1.41/1.54 do 0 intro. intros zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H114 zenon_H10c zenon_H10b zenon_H10a zenon_H2f5 zenon_H160 zenon_H15e zenon_H15f zenon_Hf zenon_H2f3 zenon_H3. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1ec ]. % 1.41/1.54 apply (zenon_L864_); trivial. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H18f ]. % 1.41/1.54 apply (zenon_L246_); trivial. % 1.41/1.54 apply (zenon_L942_); trivial. % 1.41/1.54 (* end of lemma zenon_L1200_ *) % 1.41/1.54 assert (zenon_L1201_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> (~(hskp11)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H127 zenon_H303 zenon_H107 zenon_H237 zenon_H22c zenon_H22b zenon_H1eb zenon_H15f zenon_H15e zenon_H160 zenon_H3 zenon_H2f5 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H2ab zenon_H178 zenon_H177 zenon_H176 zenon_Hfb zenon_H287. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H300 ]. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H10a | zenon_intro zenon_H288 ]. % 1.41/1.54 apply (zenon_L1200_); trivial. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H1c5 | zenon_intro zenon_Hfc ]. % 1.41/1.54 apply (zenon_L943_); trivial. % 1.41/1.54 exact (zenon_Hfb zenon_Hfc). % 1.41/1.54 apply (zenon_L1105_); trivial. % 1.41/1.54 (* end of lemma zenon_L1201_ *) % 1.41/1.54 assert (zenon_L1202_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (ndr1_0) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(hskp18)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H30 zenon_H24f zenon_H185 zenon_H186 zenon_H184 zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H102 zenon_H237 zenon_H22c zenon_H22b zenon_H176 zenon_H177 zenon_H178 zenon_H3 zenon_H2ab zenon_Hf zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H100 zenon_H28d. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.41/1.54 apply (zenon_L686_); trivial. % 1.41/1.54 apply (zenon_L851_); trivial. % 1.41/1.54 (* end of lemma zenon_L1202_ *) % 1.41/1.54 assert (zenon_L1203_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H12c zenon_H303 zenon_H107 zenon_H1eb zenon_H15f zenon_H15e zenon_H160 zenon_H2f5 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_Hfb zenon_H287 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hf zenon_H2ab zenon_H3 zenon_H178 zenon_H177 zenon_H176 zenon_H22b zenon_H22c zenon_H237 zenon_H102 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H184 zenon_H186 zenon_H185 zenon_H24f zenon_H30. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.41/1.54 apply (zenon_L1202_); trivial. % 1.41/1.54 apply (zenon_L1201_); trivial. % 1.41/1.54 (* end of lemma zenon_L1203_ *) % 1.41/1.54 assert (zenon_L1204_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H137 zenon_H12c zenon_H303 zenon_H229 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H15f zenon_H15e zenon_H160 zenon_H2f5 zenon_H285 zenon_H85 zenon_H8a zenon_H1e7 zenon_H83 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H2ab zenon_H3 zenon_H178 zenon_H177 zenon_H176 zenon_H22b zenon_H22c zenon_H237 zenon_H102 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H184 zenon_H186 zenon_H185 zenon_H24f zenon_H30. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.41/1.54 apply (zenon_L852_); trivial. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H300 ]. % 1.41/1.54 apply (zenon_L1107_); trivial. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_Hf. zenon_intro zenon_H301. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H2f9. zenon_intro zenon_H302. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H2f7. zenon_intro zenon_H2f8. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.41/1.54 apply (zenon_L635_); trivial. % 1.41/1.54 apply (zenon_L1108_); trivial. % 1.41/1.54 (* end of lemma zenon_L1204_ *) % 1.41/1.54 assert (zenon_L1205_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (ndr1_0) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> (~(hskp11)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H198 zenon_H102 zenon_H85 zenon_H229 zenon_H30 zenon_H192 zenon_H186 zenon_H185 zenon_H184 zenon_Hf zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1e7 zenon_H12c zenon_H303 zenon_H107 zenon_H237 zenon_H22c zenon_H22b zenon_H1eb zenon_H15f zenon_H15e zenon_H160 zenon_H3 zenon_H2f5 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H2ab zenon_H178 zenon_H177 zenon_H176 zenon_H287 zenon_H28d zenon_H106 zenon_H285 zenon_H24f zenon_H8a zenon_H13b zenon_H1e1. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.41/1.54 apply (zenon_L652_); trivial. % 1.41/1.54 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.41/1.54 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.41/1.54 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.41/1.54 apply (zenon_L763_); trivial. % 1.41/1.54 apply (zenon_L1201_); trivial. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.41/1.54 apply (zenon_L763_); trivial. % 1.41/1.54 apply (zenon_L1072_); trivial. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.41/1.54 apply (zenon_L1203_); trivial. % 1.41/1.54 apply (zenon_L1204_); trivial. % 1.41/1.54 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.41/1.54 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.41/1.54 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.41/1.54 apply (zenon_L1203_); trivial. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.41/1.54 apply (zenon_L1202_); trivial. % 1.41/1.54 apply (zenon_L1072_); trivial. % 1.41/1.54 (* end of lemma zenon_L1205_ *) % 1.41/1.54 assert (zenon_L1206_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (~(hskp3)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H1bf zenon_Hc0 zenon_H174 zenon_H1c3 zenon_H203 zenon_H2ad zenon_H299 zenon_H298 zenon_H297 zenon_H15a zenon_H2d6 zenon_H8e zenon_H18d zenon_H155 zenon_H1e1 zenon_H13b zenon_H8a zenon_H24f zenon_H285 zenon_H106 zenon_H28d zenon_H287 zenon_H176 zenon_H177 zenon_H178 zenon_H2ab zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H2f5 zenon_H1eb zenon_H22b zenon_H22c zenon_H237 zenon_H107 zenon_H303 zenon_H12c zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H184 zenon_H185 zenon_H186 zenon_H192 zenon_H30 zenon_H229 zenon_H85 zenon_H102 zenon_H198. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.41/1.54 apply (zenon_L1205_); trivial. % 1.41/1.54 apply (zenon_L1197_); trivial. % 1.41/1.54 (* end of lemma zenon_L1206_ *) % 1.41/1.54 assert (zenon_L1207_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> ((hskp26)\/(hskp11)) -> (~(hskp11)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H1bf zenon_H8e zenon_H12c zenon_Hc0 zenon_H1c zenon_H1a zenon_H1ba zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30 zenon_H184 zenon_H185 zenon_H186 zenon_H15a zenon_H18d zenon_H5 zenon_H3 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H66. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.41/1.54 apply (zenon_L893_); trivial. % 1.41/1.54 apply (zenon_L709_); trivial. % 1.41/1.54 (* end of lemma zenon_L1207_ *) % 1.41/1.54 assert (zenon_L1208_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((hskp26)\/(hskp11)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> (~(hskp3)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H19b zenon_H1e1 zenon_H13b zenon_H8a zenon_H24f zenon_H1c3 zenon_H285 zenon_H104 zenon_H203 zenon_H2ad zenon_H299 zenon_H298 zenon_H297 zenon_H2d6 zenon_H1e7 zenon_H1eb zenon_H155 zenon_H107 zenon_H198 zenon_H66 zenon_H174 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H5 zenon_H18d zenon_H15a zenon_H186 zenon_H185 zenon_H184 zenon_H30 zenon_H274 zenon_H278 zenon_H277 zenon_H276 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H28d zenon_H1ba zenon_H1a zenon_H1c zenon_Hc0 zenon_H12c zenon_H8e zenon_H1bf. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.41/1.54 apply (zenon_L1207_); trivial. % 1.41/1.54 apply (zenon_L1175_); trivial. % 1.41/1.54 (* end of lemma zenon_L1208_ *) % 1.41/1.54 assert (zenon_L1209_ : ((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H2c5 zenon_H8e zenon_Hc0 zenon_H1a zenon_H1c zenon_H6c zenon_H6d zenon_H6e zenon_H1ba zenon_H274 zenon_H30 zenon_H104 zenon_Hcc zenon_Hcb zenon_Hca zenon_H237 zenon_H22c zenon_H22b zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H28d zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H123 zenon_H24f zenon_H8a zenon_H12c. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.41/1.54 apply (zenon_L1163_); trivial. % 1.41/1.54 apply (zenon_L694_); trivial. % 1.41/1.54 (* end of lemma zenon_L1209_ *) % 1.41/1.54 assert (zenon_L1210_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(c0_1 (a590))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> ((hskp26)\/(hskp11)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H19b zenon_H1bf zenon_H2f2 zenon_H8e zenon_H1ba zenon_H274 zenon_H30 zenon_H104 zenon_H1eb zenon_H28d zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H123 zenon_H12c zenon_H242 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H77 zenon_H22b zenon_H24f zenon_H8a zenon_H254 zenon_H48 zenon_H40 zenon_H5 zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H22c zenon_H237 zenon_H1a zenon_H1c zenon_Hc0 zenon_H66. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.41/1.54 apply (zenon_L656_); trivial. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.41/1.54 apply (zenon_L632_); trivial. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.41/1.54 apply (zenon_L925_); trivial. % 1.41/1.54 apply (zenon_L1209_); trivial. % 1.41/1.54 (* end of lemma zenon_L1210_ *) % 1.41/1.54 assert (zenon_L1211_ : ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(c0_1 (a590))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> ((hskp26)\/(hskp11)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H1a0 zenon_H19b zenon_H1bf zenon_H2f2 zenon_H8e zenon_H1ba zenon_H274 zenon_H30 zenon_H104 zenon_H1eb zenon_H28d zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H123 zenon_H12c zenon_H242 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H77 zenon_H22b zenon_H24f zenon_H8a zenon_H254 zenon_H48 zenon_H40 zenon_H5 zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H22c zenon_H237 zenon_H1c zenon_Hc0 zenon_H66 zenon_H6a zenon_H62 zenon_H31 zenon_H174 zenon_H85 zenon_H155 zenon_H203 zenon_H297 zenon_H298 zenon_H299 zenon_H106 zenon_H13b zenon_H1e1 zenon_H209. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.41/1.54 apply (zenon_L1210_); trivial. % 1.41/1.54 apply (zenon_L1191_); trivial. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.41/1.54 apply (zenon_L1210_); trivial. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.41/1.54 apply (zenon_L872_); trivial. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.41/1.54 apply (zenon_L925_); trivial. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.41/1.54 apply (zenon_L115_); trivial. % 1.41/1.54 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.41/1.54 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.41/1.54 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.41/1.54 apply (zenon_L1185_); trivial. % 1.41/1.54 apply (zenon_L849_); trivial. % 1.41/1.54 (* end of lemma zenon_L1211_ *) % 1.41/1.54 assert (zenon_L1212_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (ndr1_0) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H8e zenon_H30 zenon_H274 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H83 zenon_H1e7 zenon_H24f zenon_H185 zenon_H186 zenon_H184 zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H102 zenon_Hf zenon_H176 zenon_H177 zenon_H178 zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H123 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H8a zenon_H12c. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.41/1.54 apply (zenon_L678_); trivial. % 1.41/1.54 apply (zenon_L964_); trivial. % 1.41/1.54 apply (zenon_L701_); trivial. % 1.41/1.54 (* end of lemma zenon_L1212_ *) % 1.41/1.54 assert (zenon_L1213_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H194 zenon_H1e1 zenon_H106 zenon_H299 zenon_H298 zenon_H297 zenon_H12c zenon_H8a zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H123 zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H104 zenon_Hcc zenon_Hcb zenon_Hca zenon_H237 zenon_H22c zenon_H22b zenon_H178 zenon_H177 zenon_H176 zenon_H102 zenon_H184 zenon_H186 zenon_H185 zenon_H24f zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H274 zenon_H30 zenon_H8e. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.41/1.54 apply (zenon_L1212_); trivial. % 1.41/1.54 apply (zenon_L853_); trivial. % 1.41/1.54 (* end of lemma zenon_L1213_ *) % 1.41/1.54 assert (zenon_L1214_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (~(c0_1 (a590))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((hskp26)\/(hskp11)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H19b zenon_H198 zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H123 zenon_H104 zenon_H102 zenon_H274 zenon_H8e zenon_H30 zenon_H192 zenon_H186 zenon_H185 zenon_H184 zenon_H1e7 zenon_H28d zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H106 zenon_H299 zenon_H298 zenon_H297 zenon_H178 zenon_H177 zenon_H176 zenon_H22b zenon_H24f zenon_H8a zenon_H12c zenon_H1e1 zenon_H5 zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H22c zenon_H237 zenon_H1a zenon_H1c zenon_Hc0 zenon_H66. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.41/1.54 apply (zenon_L656_); trivial. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.41/1.54 apply (zenon_L850_); trivial. % 1.41/1.54 apply (zenon_L1213_); trivial. % 1.41/1.54 (* end of lemma zenon_L1214_ *) % 1.41/1.54 assert (zenon_L1215_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((hskp26)\/(hskp11)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H19b zenon_H1e1 zenon_H13b zenon_H8a zenon_H24f zenon_H285 zenon_H104 zenon_H203 zenon_H155 zenon_H289 zenon_H1e7 zenon_H1eb zenon_H8e zenon_H1c3 zenon_H1e5 zenon_H17f zenon_H66 zenon_H174 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H5 zenon_H30 zenon_H128 zenon_H42 zenon_H125 zenon_H176 zenon_H177 zenon_H178 zenon_H2ab zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H28d zenon_H1ba zenon_H1a zenon_H1c zenon_Hc0 zenon_H12c zenon_H1bf. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.41/1.54 apply (zenon_L1170_); trivial. % 1.41/1.54 apply (zenon_L1125_); trivial. % 1.41/1.54 (* end of lemma zenon_L1215_ *) % 1.41/1.54 assert (zenon_L1216_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H127 zenon_H30 zenon_H123 zenon_Ha zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H83 zenon_H1e7. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.41/1.54 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.41/1.54 apply (zenon_L635_); trivial. % 1.41/1.54 apply (zenon_L1005_); trivial. % 1.41/1.54 (* end of lemma zenon_L1216_ *) % 1.41/1.54 assert (zenon_L1217_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H12c zenon_H123 zenon_Ha zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H83 zenon_H1e7 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hf zenon_H2ab zenon_H3 zenon_H178 zenon_H177 zenon_H176 zenon_H125 zenon_H42 zenon_H128 zenon_H30. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.41/1.54 apply (zenon_L1168_); trivial. % 1.41/1.54 apply (zenon_L1216_); trivial. % 1.41/1.54 (* end of lemma zenon_L1217_ *) % 1.41/1.54 assert (zenon_L1218_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (ndr1_0) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H8e zenon_H30 zenon_H128 zenon_H42 zenon_H125 zenon_H176 zenon_H177 zenon_H178 zenon_H3 zenon_H2ab zenon_Hf zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H28d zenon_H1e7 zenon_H83 zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H12c. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.41/1.54 apply (zenon_L1217_); trivial. % 1.41/1.54 apply (zenon_L1120_); trivial. % 1.41/1.54 (* end of lemma zenon_L1218_ *) % 1.41/1.54 assert (zenon_L1219_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.41/1.54 do 0 intro. intros zenon_H1e1 zenon_H160 zenon_H15e zenon_H15f zenon_H106 zenon_H12c zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H1e7 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hf zenon_H2ab zenon_H3 zenon_H178 zenon_H177 zenon_H176 zenon_H125 zenon_H42 zenon_H128 zenon_H30 zenon_H8e. % 1.41/1.54 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.41/1.54 apply (zenon_L1218_); trivial. % 1.41/1.54 apply (zenon_L1044_); trivial. % 1.41/1.54 (* end of lemma zenon_L1219_ *) % 1.41/1.54 assert (zenon_L1220_ : ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595))))))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((hskp26)\/(hskp11)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> (~(hskp8)) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_H1a0 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H106 zenon_H19b zenon_H1e1 zenon_H13b zenon_H8a zenon_H24f zenon_H285 zenon_H104 zenon_H203 zenon_H155 zenon_H289 zenon_H1e7 zenon_H8e zenon_H1c3 zenon_H1e5 zenon_H17f zenon_H66 zenon_H174 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H5 zenon_H254 zenon_H128 zenon_H42 zenon_H125 zenon_H242 zenon_H30 zenon_H2ab zenon_H1eb zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H28d zenon_H1ba zenon_H1c zenon_Hc0 zenon_H12c zenon_H2f2 zenon_H1bf zenon_H6a zenon_H62 zenon_H31 zenon_H40 zenon_H48 zenon_H222 zenon_H159 zenon_H209. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.41/1.55 apply (zenon_L1129_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.41/1.55 apply (zenon_L1215_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.41/1.55 apply (zenon_L1219_); trivial. % 1.41/1.55 apply (zenon_L1128_); trivial. % 1.41/1.55 (* end of lemma zenon_L1220_ *) % 1.41/1.55 assert (zenon_L1221_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (~(hskp7)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> False). % 1.41/1.55 do 0 intro. intros zenon_Hc6 zenon_Hbf zenon_H66 zenon_H174 zenon_H46 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H8 zenon_H9b. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.41/1.55 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H99 | zenon_intro zenon_Hc2 ]. % 1.41/1.55 apply (zenon_L41_); trivial. % 1.41/1.55 apply (zenon_L993_); trivial. % 1.41/1.55 (* end of lemma zenon_L1221_ *) % 1.41/1.55 assert (zenon_L1222_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (~(hskp7)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp14)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_H1e1 zenon_Hbf zenon_H66 zenon_H174 zenon_H46 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H8 zenon_H9b zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hf zenon_H184 zenon_H185 zenon_H186 zenon_Hd3 zenon_H192 zenon_H30. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.41/1.55 apply (zenon_L652_); trivial. % 1.41/1.55 apply (zenon_L1221_); trivial. % 1.41/1.55 (* end of lemma zenon_L1222_ *) % 1.41/1.55 assert (zenon_L1223_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(hskp18)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (ndr1_0) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_H254 zenon_Hc0 zenon_H24f zenon_Hca zenon_Hcb zenon_Hcc zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3 zenon_H102 zenon_H100 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_Hf zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H46 zenon_H174 zenon_H66 zenon_Hbf. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H23e | zenon_intro zenon_H251 ]. % 1.41/1.55 apply (zenon_L994_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_Hf. zenon_intro zenon_H252. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H248. zenon_intro zenon_H253. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H246. zenon_intro zenon_H247. % 1.41/1.55 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.41/1.55 apply (zenon_L630_); trivial. % 1.41/1.55 apply (zenon_L1028_); trivial. % 1.41/1.55 (* end of lemma zenon_L1223_ *) % 1.41/1.55 assert (zenon_L1224_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (ndr1_0) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_H8e zenon_H254 zenon_Hc0 zenon_H24f zenon_Hca zenon_Hcb zenon_Hcc zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3 zenon_H102 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_Hf zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H46 zenon_H174 zenon_H66 zenon_Hbf zenon_H1e7 zenon_H83 zenon_H1eb zenon_H123 zenon_H30 zenon_H12c. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.41/1.55 apply (zenon_L1223_); trivial. % 1.41/1.55 apply (zenon_L1216_); trivial. % 1.41/1.55 apply (zenon_L1120_); trivial. % 1.41/1.55 (* end of lemma zenon_L1224_ *) % 1.41/1.55 assert (zenon_L1225_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))) -> (~(c1_1 (a601))) -> (~(c2_1 (a601))) -> (~(c0_1 (a601))) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (ndr1_0) -> (~(hskp5)) -> (~(hskp24)) -> False). % 1.41/1.55 do 0 intro. intros zenon_H1eb zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H6b zenon_H259 zenon_H258 zenon_H257 zenon_Hf5 zenon_H1f6 zenon_H160 zenon_H15f zenon_Hf zenon_H125 zenon_H1f4. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1ec ]. % 1.41/1.55 apply (zenon_L624_); trivial. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H18f ]. % 1.41/1.55 apply (zenon_L233_); trivial. % 1.41/1.55 apply (zenon_L181_); trivial. % 1.41/1.55 (* end of lemma zenon_L1225_ *) % 1.41/1.55 assert (zenon_L1226_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(c1_1 (a601))) -> (~(c2_1 (a601))) -> (~(c0_1 (a601))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (~(hskp16)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_H8e zenon_Hc0 zenon_H104 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H46 zenon_H174 zenon_H289 zenon_H17f zenon_H1eb zenon_H15f zenon_H160 zenon_H125 zenon_H1f6 zenon_H259 zenon_H258 zenon_H257 zenon_H155 zenon_Hf zenon_Hca zenon_Hcb zenon_Hcc zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3 zenon_H90 zenon_H91 zenon_H92 zenon_Hfb zenon_H203 zenon_H207. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H202 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.41/1.55 apply (zenon_L630_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H105 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14a | zenon_intro zenon_H158 ]. % 1.41/1.55 apply (zenon_L645_); trivial. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H6b ]. % 1.41/1.55 apply (zenon_L51_); trivial. % 1.41/1.55 apply (zenon_L1225_); trivial. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hec | zenon_intro zenon_Hc9 ]. % 1.41/1.55 apply (zenon_L913_); trivial. % 1.41/1.55 apply (zenon_L51_); trivial. % 1.41/1.55 apply (zenon_L183_); trivial. % 1.41/1.55 apply (zenon_L649_); trivial. % 1.41/1.55 (* end of lemma zenon_L1226_ *) % 1.41/1.55 assert (zenon_L1227_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> (~(c2_1 (a606))) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> (~(hskp27)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> False). % 1.41/1.55 do 0 intro. intros zenon_Hc0 zenon_H104 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H46 zenon_H174 zenon_H10b zenon_H10c zenon_H114 zenon_H12e zenon_H130 zenon_H12f zenon_H75 zenon_H285 zenon_Hf zenon_Hca zenon_Hcb zenon_Hcc zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3. % 1.41/1.55 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.41/1.55 apply (zenon_L630_); trivial. % 1.41/1.55 apply (zenon_L914_); trivial. % 1.41/1.55 (* end of lemma zenon_L1227_ *) % 1.41/1.55 assert (zenon_L1228_ : ((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> False). % 1.41/1.55 do 0 intro. intros zenon_H87 zenon_Hc0 zenon_H24f zenon_H46 zenon_H174 zenon_H1eb zenon_H114 zenon_H10c zenon_H10b zenon_H2eb zenon_H2ea zenon_H2e9 zenon_Ha zenon_H123 zenon_Hca zenon_Hcb zenon_Hcc zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.41/1.55 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.41/1.55 apply (zenon_L630_); trivial. % 1.41/1.55 apply (zenon_L1030_); trivial. % 1.41/1.55 (* end of lemma zenon_L1228_ *) % 1.41/1.55 assert (zenon_L1229_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_H127 zenon_H8a zenon_H24f zenon_H1eb zenon_Ha zenon_H123 zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hcc zenon_Hcb zenon_Hca zenon_H285 zenon_H12f zenon_H130 zenon_H12e zenon_H174 zenon_H46 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H104 zenon_Hc0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.41/1.55 apply (zenon_L1227_); trivial. % 1.41/1.55 apply (zenon_L1228_); trivial. % 1.41/1.55 (* end of lemma zenon_L1229_ *) % 1.41/1.55 assert (zenon_L1230_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> (~(c1_1 (a598))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c0_1 (a601))) -> (~(c2_1 (a601))) -> (~(c1_1 (a601))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(hskp4)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_H194 zenon_H1e1 zenon_H13b zenon_H15e zenon_H106 zenon_H28d zenon_H285 zenon_H8a zenon_H207 zenon_H203 zenon_H155 zenon_H257 zenon_H258 zenon_H259 zenon_H1f6 zenon_H125 zenon_H160 zenon_H15f zenon_H17f zenon_H289 zenon_H104 zenon_H12c zenon_H30 zenon_H123 zenon_H1eb zenon_H1e7 zenon_Hbf zenon_H66 zenon_H174 zenon_H46 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H2be zenon_H184 zenon_H186 zenon_H185 zenon_H102 zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hcc zenon_Hcb zenon_Hca zenon_H24f zenon_Hc0 zenon_H254 zenon_H8e. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.41/1.55 apply (zenon_L1224_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.41/1.55 apply (zenon_L1226_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.41/1.55 apply (zenon_L1223_); trivial. % 1.41/1.55 apply (zenon_L1229_); trivial. % 1.41/1.55 apply (zenon_L1139_); trivial. % 1.41/1.55 (* end of lemma zenon_L1230_ *) % 1.41/1.55 assert (zenon_L1231_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (~(hskp7)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> (c0_1 (a598)) -> (c3_1 (a598)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (~(c1_1 (a598))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_H197 zenon_H1bf zenon_H159 zenon_H222 zenon_H254 zenon_H128 zenon_H42 zenon_H125 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H242 zenon_H1e1 zenon_Hbf zenon_H66 zenon_H174 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H8 zenon_H9b zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H184 zenon_H185 zenon_H186 zenon_H192 zenon_H30 zenon_H8e zenon_Hc0 zenon_H24f zenon_H1c3 zenon_H102 zenon_H2be zenon_H1eb zenon_H123 zenon_H12c zenon_H104 zenon_H289 zenon_H17f zenon_H15f zenon_H160 zenon_H1f6 zenon_H155 zenon_H203 zenon_H207 zenon_H8a zenon_H285 zenon_H28d zenon_H106 zenon_H15e zenon_H13b zenon_H198 zenon_H2f2. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.41/1.55 apply (zenon_L866_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.41/1.55 apply (zenon_L1222_); trivial. % 1.41/1.55 apply (zenon_L1230_); trivial. % 1.41/1.55 apply (zenon_L1127_); trivial. % 1.41/1.55 (* end of lemma zenon_L1231_ *) % 1.41/1.55 assert (zenon_L1232_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp14)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_H1e1 zenon_H13b zenon_H106 zenon_Hc0 zenon_H104 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H46 zenon_H174 zenon_H285 zenon_H1c3 zenon_H24f zenon_H8a zenon_H12c zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H155 zenon_H15f zenon_H15e zenon_H160 zenon_H1eb zenon_Hcc zenon_Hcb zenon_Hca zenon_H203 zenon_H2ad zenon_H28d zenon_H1f6 zenon_H125 zenon_H207 zenon_H8e zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hf zenon_H184 zenon_H185 zenon_H186 zenon_Hd3 zenon_H192 zenon_H30. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.41/1.55 apply (zenon_L652_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.41/1.55 apply (zenon_L768_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.41/1.55 apply (zenon_L763_); trivial. % 1.41/1.55 apply (zenon_L1229_); trivial. % 1.41/1.55 apply (zenon_L1139_); trivial. % 1.41/1.55 (* end of lemma zenon_L1232_ *) % 1.41/1.55 assert (zenon_L1233_ : ((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(c0_1 (a633))) -> (~(c3_1 (a633))) -> (c1_1 (a633)) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> False). % 1.41/1.55 do 0 intro. intros zenon_H87 zenon_Hc0 zenon_H229 zenon_H14b zenon_H14c zenon_H14d zenon_Hd7 zenon_Hd8 zenon_H155 zenon_H1eb zenon_H114 zenon_H10c zenon_H10b zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H174 zenon_H46 zenon_H24f zenon_H178 zenon_H177 zenon_H176 zenon_Hca zenon_Hcb zenon_Hcc zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.41/1.55 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.41/1.55 apply (zenon_L630_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H22a ]. % 1.41/1.55 apply (zenon_L116_); trivial. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H10a | zenon_intro zenon_He0 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.41/1.55 apply (zenon_L879_); trivial. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.41/1.55 apply (zenon_L913_); trivial. % 1.41/1.55 apply (zenon_L31_); trivial. % 1.41/1.55 apply (zenon_L209_); trivial. % 1.41/1.55 (* end of lemma zenon_L1233_ *) % 1.41/1.55 assert (zenon_L1234_ : ((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_H154 zenon_H8a zenon_H229 zenon_Hd7 zenon_Hd8 zenon_H155 zenon_H1eb zenon_H24f zenon_H178 zenon_H177 zenon_H176 zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hcc zenon_Hcb zenon_Hca zenon_H285 zenon_H12f zenon_H130 zenon_H12e zenon_H114 zenon_H10c zenon_H10b zenon_H174 zenon_H46 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H104 zenon_Hc0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_Hf. zenon_intro zenon_H156. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14d. zenon_intro zenon_H157. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.41/1.55 apply (zenon_L1227_); trivial. % 1.41/1.55 apply (zenon_L1233_); trivial. % 1.41/1.55 (* end of lemma zenon_L1234_ *) % 1.41/1.55 assert (zenon_L1235_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp14)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_H12c zenon_H8a zenon_H24f zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_Ha zenon_H123 zenon_H285 zenon_H12f zenon_H130 zenon_H12e zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hf zenon_H184 zenon_H185 zenon_H186 zenon_Hd3 zenon_H192 zenon_H30. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.41/1.55 apply (zenon_L763_); trivial. % 1.41/1.55 apply (zenon_L1048_); trivial. % 1.41/1.55 (* end of lemma zenon_L1235_ *) % 1.41/1.55 assert (zenon_L1236_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp14)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_H1e1 zenon_H13b zenon_H8e zenon_H28d zenon_H104 zenon_H237 zenon_H22c zenon_H22b zenon_H285 zenon_H123 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H24f zenon_H8a zenon_H12c zenon_H203 zenon_Hca zenon_Hcb zenon_Hcc zenon_H6c zenon_H6d zenon_H6e zenon_H155 zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hf zenon_H184 zenon_H185 zenon_H186 zenon_Hd3 zenon_H192 zenon_H30. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.41/1.55 apply (zenon_L652_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.41/1.55 apply (zenon_L643_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.41/1.55 apply (zenon_L1235_); trivial. % 1.41/1.55 apply (zenon_L1153_); trivial. % 1.41/1.55 (* end of lemma zenon_L1236_ *) % 1.41/1.55 assert (zenon_L1237_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (ndr1_0) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp13)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_H8e zenon_H254 zenon_H24f zenon_H185 zenon_H186 zenon_H184 zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H102 zenon_H237 zenon_H22c zenon_H22b zenon_Hf zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H240 zenon_H242 zenon_H1e7 zenon_H83 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H1eb zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H30 zenon_H12c. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.41/1.55 apply (zenon_L935_); trivial. % 1.41/1.55 apply (zenon_L1216_); trivial. % 1.41/1.55 apply (zenon_L1120_); trivial. % 1.41/1.55 (* end of lemma zenon_L1237_ *) % 1.41/1.55 assert (zenon_L1238_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (ndr1_0) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_H12c zenon_H8a zenon_H1eb zenon_Ha zenon_H123 zenon_H285 zenon_H12f zenon_H130 zenon_H12e zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H242 zenon_H240 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_Hf zenon_H22b zenon_H22c zenon_H237 zenon_H102 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H184 zenon_H186 zenon_H185 zenon_H24f zenon_H254. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.41/1.55 apply (zenon_L935_); trivial. % 1.41/1.55 apply (zenon_L1048_); trivial. % 1.41/1.55 (* end of lemma zenon_L1238_ *) % 1.41/1.55 assert (zenon_L1239_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (ndr1_0) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_H198 zenon_H1c3 zenon_H1c zenon_H1a zenon_Hc0 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H242 zenon_H240 zenon_H102 zenon_H254 zenon_H30 zenon_H192 zenon_H186 zenon_H185 zenon_H184 zenon_Hf zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1e7 zenon_H155 zenon_H6e zenon_H6d zenon_H6c zenon_Hcc zenon_Hcb zenon_Hca zenon_H203 zenon_H12c zenon_H8a zenon_H24f zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H123 zenon_H285 zenon_H22b zenon_H22c zenon_H237 zenon_H104 zenon_H28d zenon_H8e zenon_H13b zenon_H1e1. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.41/1.55 apply (zenon_L1236_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.41/1.55 apply (zenon_L1237_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.41/1.55 apply (zenon_L643_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.41/1.55 apply (zenon_L1238_); trivial. % 1.41/1.55 apply (zenon_L1122_); trivial. % 1.41/1.55 (* end of lemma zenon_L1239_ *) % 1.41/1.55 assert (zenon_L1240_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((hskp26)\/(hskp11)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_H19b zenon_H1bf zenon_H2f2 zenon_H289 zenon_H1e1 zenon_H13b zenon_H8e zenon_H28d zenon_H104 zenon_H22b zenon_H285 zenon_H123 zenon_H1eb zenon_H24f zenon_H8a zenon_H12c zenon_H203 zenon_H155 zenon_H1e7 zenon_H184 zenon_H185 zenon_H186 zenon_H192 zenon_H30 zenon_H254 zenon_H102 zenon_H242 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H198 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1e5 zenon_H17f zenon_H174 zenon_H5 zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H22c zenon_H237 zenon_H1a zenon_H1c zenon_Hc0 zenon_H66. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.41/1.55 apply (zenon_L656_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.41/1.55 apply (zenon_L1119_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.41/1.55 apply (zenon_L1239_); trivial. % 1.41/1.55 apply (zenon_L1145_); trivial. % 1.41/1.55 (* end of lemma zenon_L1240_ *) % 1.41/1.55 assert (zenon_L1241_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> (~(c1_1 (a603))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp13)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_Hc6 zenon_H13b zenon_H8e zenon_H160 zenon_H15e zenon_H15f zenon_H106 zenon_H28d zenon_H2c9 zenon_H30 zenon_H254 zenon_H24f zenon_H185 zenon_H186 zenon_H184 zenon_He4 zenon_H102 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H240 zenon_H242 zenon_H104 zenon_H285 zenon_H123 zenon_H1eb zenon_H8a zenon_H12c zenon_H203 zenon_H2ca zenon_H2c8 zenon_Hca zenon_Hcb zenon_Hcc zenon_H107 zenon_Hd8 zenon_Hd7 zenon_H237 zenon_H22c zenon_H22b zenon_H155. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.41/1.55 apply (zenon_L658_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.41/1.55 apply (zenon_L1238_); trivial. % 1.41/1.55 apply (zenon_L1149_); trivial. % 1.41/1.55 (* end of lemma zenon_L1241_ *) % 1.41/1.55 assert (zenon_L1242_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(hskp13)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_H194 zenon_H1e1 zenon_H13b zenon_H160 zenon_H15e zenon_H15f zenon_H106 zenon_H28d zenon_H240 zenon_H242 zenon_H104 zenon_H285 zenon_H8a zenon_H203 zenon_H107 zenon_H237 zenon_H22c zenon_H22b zenon_H155 zenon_H12c zenon_H30 zenon_H123 zenon_H1eb zenon_H1e7 zenon_Hbf zenon_H66 zenon_H174 zenon_H46 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H2be zenon_H184 zenon_H186 zenon_H185 zenon_H102 zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hcc zenon_Hcb zenon_Hca zenon_H24f zenon_Hc0 zenon_H254 zenon_H8e. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.41/1.55 apply (zenon_L1224_); trivial. % 1.41/1.55 apply (zenon_L1241_); trivial. % 1.41/1.55 (* end of lemma zenon_L1242_ *) % 1.41/1.55 assert (zenon_L1243_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(hskp13)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (ndr1_0) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_H198 zenon_H13b zenon_H160 zenon_H15e zenon_H15f zenon_H106 zenon_H28d zenon_H240 zenon_H242 zenon_H104 zenon_H285 zenon_H8a zenon_H203 zenon_H107 zenon_H237 zenon_H22c zenon_H22b zenon_H155 zenon_H12c zenon_H123 zenon_H1eb zenon_H2be zenon_H102 zenon_H1c3 zenon_Hcc zenon_Hcb zenon_Hca zenon_H24f zenon_Hc0 zenon_H254 zenon_H8e zenon_H30 zenon_H192 zenon_H186 zenon_H185 zenon_H184 zenon_Hf zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1e7 zenon_H9b zenon_H8 zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H46 zenon_H174 zenon_H66 zenon_Hbf zenon_H1e1. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.41/1.55 apply (zenon_L1222_); trivial. % 1.41/1.55 apply (zenon_L1242_); trivial. % 1.41/1.55 (* end of lemma zenon_L1243_ *) % 1.41/1.55 assert (zenon_L1244_ : ((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> (~(c1_1 (a598))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(hskp4)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_H2c5 zenon_H1e1 zenon_H13b zenon_H15e zenon_H106 zenon_H28d zenon_H285 zenon_H123 zenon_H24f zenon_H8a zenon_H12c zenon_H207 zenon_H203 zenon_H1c3 zenon_H155 zenon_H1f6 zenon_H125 zenon_H160 zenon_H15f zenon_H17f zenon_H289 zenon_H174 zenon_H46 zenon_Hc0 zenon_H8e zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H30. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.41/1.55 apply (zenon_L1144_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.41/1.55 apply (zenon_L1226_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.41/1.55 apply (zenon_L1148_); trivial. % 1.41/1.55 apply (zenon_L1139_); trivial. % 1.41/1.55 (* end of lemma zenon_L1244_ *) % 1.41/1.55 assert (zenon_L1245_ : ((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_H1bc zenon_H2f2 zenon_H1e1 zenon_H13b zenon_H8e zenon_H28d zenon_H104 zenon_H237 zenon_H22c zenon_H22b zenon_H285 zenon_H123 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H24f zenon_H8a zenon_H12c zenon_H203 zenon_Hca zenon_Hcb zenon_Hcc zenon_H155 zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H184 zenon_H185 zenon_H186 zenon_H192 zenon_H30 zenon_H254 zenon_H102 zenon_H242 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H107 zenon_H106 zenon_H15f zenon_H15e zenon_H160 zenon_H198. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.41/1.55 apply (zenon_L1236_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.41/1.55 apply (zenon_L1237_); trivial. % 1.41/1.55 apply (zenon_L1241_); trivial. % 1.41/1.55 apply (zenon_L1150_); trivial. % 1.41/1.55 (* end of lemma zenon_L1245_ *) % 1.41/1.55 assert (zenon_L1246_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_H137 zenon_H8e zenon_Hc0 zenon_H46 zenon_H174 zenon_H1c3 zenon_H90 zenon_H91 zenon_H92 zenon_H160 zenon_H15e zenon_H15f zenon_H106 zenon_H30 zenon_H192 zenon_Hd3 zenon_H186 zenon_H185 zenon_H184 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H28d zenon_H104 zenon_Hcc zenon_Hcb zenon_Hca zenon_H237 zenon_H22c zenon_H22b zenon_H285 zenon_H123 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H24f zenon_H8a zenon_H12c. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.41/1.55 apply (zenon_L1235_); trivial. % 1.41/1.55 apply (zenon_L1139_); trivial. % 1.41/1.55 (* end of lemma zenon_L1246_ *) % 1.41/1.55 assert (zenon_L1247_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (ndr1_0) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_H12c zenon_H8a zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_Ha zenon_H123 zenon_H285 zenon_H12f zenon_H130 zenon_H12e zenon_H104 zenon_Hcc zenon_Hcb zenon_Hca zenon_H237 zenon_H22c zenon_H22b zenon_H178 zenon_H177 zenon_H176 zenon_Hf zenon_H102 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H184 zenon_H186 zenon_H185 zenon_H24f. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.41/1.55 apply (zenon_L678_); trivial. % 1.41/1.55 apply (zenon_L1048_); trivial. % 1.41/1.55 (* end of lemma zenon_L1247_ *) % 1.41/1.55 assert (zenon_L1248_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> (~(c1_1 (a603))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_Hc6 zenon_H13b zenon_H8e zenon_H160 zenon_H15e zenon_H15f zenon_H106 zenon_H28d zenon_H30 zenon_H24f zenon_H185 zenon_H186 zenon_H184 zenon_He4 zenon_H102 zenon_H176 zenon_H177 zenon_H178 zenon_H22b zenon_H22c zenon_H237 zenon_H104 zenon_H285 zenon_H123 zenon_H1eb zenon_H8a zenon_H12c zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hcc zenon_Hcb zenon_Hca zenon_H203 zenon_H174 zenon_H46 zenon_Hd7 zenon_Hd8 zenon_H107 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H155 zenon_Hc0. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.41/1.55 apply (zenon_L1174_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.41/1.55 apply (zenon_L1247_); trivial. % 1.41/1.55 apply (zenon_L1139_); trivial. % 1.41/1.55 (* end of lemma zenon_L1248_ *) % 1.41/1.55 assert (zenon_L1249_ : ((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (~(c1_1 (a598))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_H2c5 zenon_H198 zenon_H102 zenon_H176 zenon_H177 zenon_H178 zenon_H107 zenon_H30 zenon_H192 zenon_H186 zenon_H185 zenon_H184 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1e7 zenon_H8e zenon_Hc0 zenon_H104 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H46 zenon_H174 zenon_H289 zenon_H17f zenon_H1eb zenon_H15f zenon_H160 zenon_H125 zenon_H1f6 zenon_H155 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1c3 zenon_H203 zenon_H207 zenon_H12c zenon_H8a zenon_H24f zenon_H123 zenon_H285 zenon_H22b zenon_H22c zenon_H237 zenon_H28d zenon_H106 zenon_H15e zenon_H13b zenon_H1e1. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.41/1.55 apply (zenon_L652_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.41/1.55 apply (zenon_L1226_); trivial. % 1.41/1.55 apply (zenon_L1246_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.41/1.55 apply (zenon_L1144_); trivial. % 1.41/1.55 apply (zenon_L1248_); trivial. % 1.41/1.55 (* end of lemma zenon_L1249_ *) % 1.41/1.55 assert (zenon_L1250_ : ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp4)\/(hskp17))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a590))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((hskp26)\/(hskp11)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_H1a0 zenon_H85 zenon_H303 zenon_H107 zenon_H2f5 zenon_H2ab zenon_H287 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H1b5 zenon_H19b zenon_H1bf zenon_H2f2 zenon_H1e1 zenon_H13b zenon_H8e zenon_H12c zenon_H285 zenon_H28d zenon_H289 zenon_H203 zenon_H155 zenon_H1e7 zenon_H1eb zenon_H104 zenon_H30 zenon_H242 zenon_H77 zenon_H40 zenon_H22b zenon_H24f zenon_H8a zenon_H254 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1e5 zenon_H17f zenon_H174 zenon_H5 zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H22c zenon_H237 zenon_H1c zenon_Hc0 zenon_H66 zenon_H6a zenon_H62 zenon_H31 zenon_H48 zenon_H123 zenon_H106 zenon_H209. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.41/1.55 apply (zenon_L1146_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.41/1.55 apply (zenon_L106_); trivial. % 1.41/1.55 apply (zenon_L1151_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.41/1.55 apply (zenon_L1146_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.41/1.55 apply (zenon_L872_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.41/1.55 apply (zenon_L115_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.41/1.55 apply (zenon_L135_); trivial. % 1.41/1.55 apply (zenon_L1201_); trivial. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.41/1.55 apply (zenon_L135_); trivial. % 1.41/1.55 apply (zenon_L1072_); trivial. % 1.41/1.55 apply (zenon_L1151_); trivial. % 1.41/1.55 (* end of lemma zenon_L1250_ *) % 1.41/1.55 assert (zenon_L1251_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_H137 zenon_H8e zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H30 zenon_H24f zenon_H185 zenon_H186 zenon_H184 zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H102 zenon_H237 zenon_H22c zenon_H22b zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_Hca zenon_Hcb zenon_Hcc zenon_H6c zenon_H6d zenon_H6e zenon_H155 zenon_H104 zenon_H285 zenon_H123 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H8a zenon_H12c. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.41/1.55 apply (zenon_L1049_); trivial. % 1.41/1.55 apply (zenon_L1153_); trivial. % 1.41/1.55 (* end of lemma zenon_L1251_ *) % 1.41/1.55 assert (zenon_L1252_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> (~(c1_1 (a603))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_Hc6 zenon_H13b zenon_H8e zenon_H28d zenon_H2c9 zenon_H30 zenon_H24f zenon_H185 zenon_H186 zenon_H184 zenon_He4 zenon_H102 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H6c zenon_H6d zenon_H6e zenon_H104 zenon_H285 zenon_H123 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H8a zenon_H12c zenon_H203 zenon_H2ca zenon_H2c8 zenon_Hca zenon_Hcb zenon_Hcc zenon_H107 zenon_Hd8 zenon_Hd7 zenon_H237 zenon_H22c zenon_H22b zenon_H155. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.41/1.55 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.41/1.55 apply (zenon_L658_); trivial. % 1.41/1.55 apply (zenon_L1251_); trivial. % 1.41/1.55 (* end of lemma zenon_L1252_ *) % 1.41/1.55 assert (zenon_L1253_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.41/1.55 do 0 intro. intros zenon_H194 zenon_H1e1 zenon_H13b zenon_H28d zenon_H104 zenon_H285 zenon_H8a zenon_H203 zenon_H107 zenon_H12c zenon_H30 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1e7 zenon_H155 zenon_H6e zenon_H6d zenon_H6c zenon_Hcc zenon_Hcb zenon_Hca zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H22b zenon_H22c zenon_H237 zenon_H102 zenon_H184 zenon_H186 zenon_H185 zenon_H24f zenon_H8e. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.41/1.55 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.41/1.55 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.41/1.56 apply (zenon_L560_); trivial. % 1.41/1.56 apply (zenon_L1216_); trivial. % 1.41/1.56 apply (zenon_L1120_); trivial. % 1.41/1.56 apply (zenon_L1252_); trivial. % 1.41/1.56 (* end of lemma zenon_L1253_ *) % 1.41/1.56 assert (zenon_L1254_ : ((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> False). % 1.41/1.56 do 0 intro. intros zenon_H1bc zenon_H198 zenon_H107 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H102 zenon_H30 zenon_H192 zenon_H186 zenon_H185 zenon_H184 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1e7 zenon_H155 zenon_Hcc zenon_Hcb zenon_Hca zenon_H203 zenon_H12c zenon_H8a zenon_H24f zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H123 zenon_H285 zenon_H22b zenon_H22c zenon_H237 zenon_H104 zenon_H28d zenon_H8e zenon_H13b zenon_H1e1. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.41/1.56 apply (zenon_L1236_); trivial. % 1.41/1.56 apply (zenon_L1253_); trivial. % 1.41/1.56 (* end of lemma zenon_L1254_ *) % 1.41/1.56 assert (zenon_L1255_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (c3_1 (a678)) -> (c2_1 (a678)) -> (c0_1 (a678)) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16))))) -> (~(hskp16)) -> False). % 1.41/1.56 do 0 intro. intros zenon_H287 zenon_H1e zenon_H1d zenon_H1f zenon_H10b zenon_H10c zenon_H114 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H178 zenon_H177 zenon_H176 zenon_Hf zenon_Hf5 zenon_Hfb. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H10a | zenon_intro zenon_H288 ]. % 1.41/1.56 apply (zenon_L1004_); trivial. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H1c5 | zenon_intro zenon_Hfc ]. % 1.41/1.56 apply (zenon_L191_); trivial. % 1.41/1.56 exact (zenon_Hfb zenon_Hfc). % 1.41/1.56 (* end of lemma zenon_L1255_ *) % 1.41/1.56 assert (zenon_L1256_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (ndr1_0) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> False). % 1.41/1.56 do 0 intro. intros zenon_H12c zenon_H30 zenon_H104 zenon_Hcc zenon_Hcb zenon_Hca zenon_H1eb zenon_H176 zenon_H177 zenon_H178 zenon_Hfb zenon_H287 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H83 zenon_H1e7 zenon_H242 zenon_H240 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_Hf zenon_H22b zenon_H22c zenon_H237 zenon_H102 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H184 zenon_H186 zenon_H185 zenon_H24f zenon_H254. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.41/1.56 apply (zenon_L935_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.41/1.56 apply (zenon_L635_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hf. zenon_intro zenon_H33. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H1f. zenon_intro zenon_H34. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H105 ]. % 1.41/1.56 apply (zenon_L1255_); trivial. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hec | zenon_intro zenon_Hc9 ]. % 1.41/1.56 apply (zenon_L226_); trivial. % 1.41/1.56 apply (zenon_L51_); trivial. % 1.41/1.56 (* end of lemma zenon_L1256_ *) % 1.41/1.56 assert (zenon_L1257_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> False). % 1.41/1.56 do 0 intro. intros zenon_H194 zenon_H1e1 zenon_H203 zenon_H107 zenon_H12c zenon_H30 zenon_H104 zenon_Hcc zenon_Hcb zenon_Hca zenon_H1eb zenon_H176 zenon_H177 zenon_H178 zenon_H287 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1e7 zenon_H242 zenon_H240 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H22b zenon_H22c zenon_H237 zenon_H102 zenon_H184 zenon_H186 zenon_H185 zenon_H24f zenon_H254 zenon_H8a zenon_H123 zenon_H285 zenon_H155 zenon_H6e zenon_H6d zenon_H6c zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H28d zenon_H8e zenon_H13b. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.41/1.56 apply (zenon_L1256_); trivial. % 1.41/1.56 apply (zenon_L1251_); trivial. % 1.41/1.56 apply (zenon_L1252_); trivial. % 1.41/1.56 (* end of lemma zenon_L1257_ *) % 1.41/1.56 assert (zenon_L1258_ : ((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> False). % 1.41/1.56 do 0 intro. intros zenon_H2c5 zenon_H198 zenon_H102 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H107 zenon_H30 zenon_H192 zenon_H186 zenon_H185 zenon_H184 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1e7 zenon_H155 zenon_H6e zenon_H6d zenon_H6c zenon_Hcc zenon_Hcb zenon_Hca zenon_H203 zenon_H12c zenon_H8a zenon_H24f zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H123 zenon_H285 zenon_H22b zenon_H22c zenon_H237 zenon_H104 zenon_H28d zenon_H8e zenon_H13b zenon_H1e1. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.41/1.56 apply (zenon_L1236_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.41/1.56 apply (zenon_L1144_); trivial. % 1.41/1.56 apply (zenon_L1252_); trivial. % 1.41/1.56 (* end of lemma zenon_L1258_ *) % 1.41/1.56 assert (zenon_L1259_ : ((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> False). % 1.41/1.56 do 0 intro. intros zenon_H1bc zenon_H2f2 zenon_H1e1 zenon_H13b zenon_H8e zenon_H28d zenon_H104 zenon_H237 zenon_H22c zenon_H22b zenon_H285 zenon_H123 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H24f zenon_H8a zenon_H12c zenon_H203 zenon_Hca zenon_Hcb zenon_Hcc zenon_H155 zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H184 zenon_H185 zenon_H186 zenon_H192 zenon_H30 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H254 zenon_H102 zenon_H242 zenon_H287 zenon_H178 zenon_H177 zenon_H176 zenon_H107 zenon_H198. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.41/1.56 apply (zenon_L1236_); trivial. % 1.41/1.56 apply (zenon_L1257_); trivial. % 1.41/1.56 apply (zenon_L1258_); trivial. % 1.41/1.56 (* end of lemma zenon_L1259_ *) % 1.41/1.56 assert (zenon_L1260_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> False). % 1.41/1.56 do 0 intro. intros zenon_H127 zenon_H8a zenon_Hc0 zenon_H24f zenon_H46 zenon_H174 zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_Ha zenon_H123 zenon_Hca zenon_Hcb zenon_Hcc zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3 zenon_H276 zenon_H277 zenon_H278 zenon_H285. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.41/1.56 apply (zenon_L278_); trivial. % 1.41/1.56 apply (zenon_L1228_); trivial. % 1.41/1.56 (* end of lemma zenon_L1260_ *) % 1.41/1.56 assert (zenon_L1261_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp14)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.41/1.56 do 0 intro. intros zenon_H12c zenon_H8a zenon_Hc0 zenon_H24f zenon_H46 zenon_H174 zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_Ha zenon_H123 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1c3 zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hf zenon_H184 zenon_H185 zenon_H186 zenon_Hd3 zenon_H192 zenon_H30. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.41/1.56 apply (zenon_L763_); trivial. % 1.41/1.56 apply (zenon_L1260_); trivial. % 1.41/1.56 (* end of lemma zenon_L1261_ *) % 1.41/1.56 assert (zenon_L1262_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (ndr1_0) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> False). % 1.41/1.56 do 0 intro. intros zenon_H12c zenon_H8a zenon_H1eb zenon_Ha zenon_H123 zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_Hbf zenon_H66 zenon_H174 zenon_H46 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H2be zenon_H184 zenon_H186 zenon_H185 zenon_Hf zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H102 zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hcc zenon_Hcb zenon_Hca zenon_H24f zenon_Hc0 zenon_H254. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.41/1.56 apply (zenon_L1223_); trivial. % 1.41/1.56 apply (zenon_L1260_); trivial. % 1.41/1.56 (* end of lemma zenon_L1262_ *) % 1.41/1.56 assert (zenon_L1263_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.41/1.56 do 0 intro. intros zenon_H194 zenon_H8e zenon_Hc0 zenon_H1c3 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H274 zenon_H30 zenon_H254 zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H102 zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H46 zenon_H174 zenon_H66 zenon_Hbf zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H123 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1eb zenon_H8a zenon_H12c. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.41/1.56 apply (zenon_L1086_); trivial. % 1.41/1.56 apply (zenon_L1160_); trivial. % 1.41/1.56 (* end of lemma zenon_L1263_ *) % 1.41/1.56 assert (zenon_L1264_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.41/1.56 do 0 intro. intros zenon_H198 zenon_Hc0 zenon_H1c3 zenon_H254 zenon_H102 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H46 zenon_H174 zenon_H66 zenon_Hbf zenon_H12c zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H1eb zenon_Hcc zenon_Hcb zenon_Hca zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H123 zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hf zenon_H184 zenon_H185 zenon_H186 zenon_H192 zenon_H30 zenon_H274 zenon_H8e. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.41/1.56 apply (zenon_L763_); trivial. % 1.41/1.56 apply (zenon_L964_); trivial. % 1.41/1.56 apply (zenon_L860_); trivial. % 1.41/1.56 apply (zenon_L1263_); trivial. % 1.41/1.56 (* end of lemma zenon_L1264_ *) % 1.41/1.56 assert (zenon_L1265_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp13)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.41/1.56 do 0 intro. intros zenon_H137 zenon_H8e zenon_H155 zenon_H6e zenon_H6d zenon_H6c zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H30 zenon_H254 zenon_H24f zenon_H185 zenon_H186 zenon_H184 zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H102 zenon_H237 zenon_H22c zenon_H22b zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H240 zenon_H242 zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H123 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1eb zenon_H8a zenon_H12c. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.41/1.56 apply (zenon_L965_); trivial. % 1.41/1.56 apply (zenon_L1153_); trivial. % 1.41/1.56 (* end of lemma zenon_L1265_ *) % 1.41/1.56 assert (zenon_L1266_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (ndr1_0) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> False). % 1.41/1.56 do 0 intro. intros zenon_H198 zenon_H276 zenon_H277 zenon_H278 zenon_H242 zenon_H240 zenon_H102 zenon_H254 zenon_H274 zenon_H30 zenon_H192 zenon_H186 zenon_H185 zenon_H184 zenon_Hf zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1e7 zenon_H155 zenon_H6e zenon_H6d zenon_H6c zenon_Hcc zenon_Hcb zenon_Hca zenon_H203 zenon_H12c zenon_H8a zenon_H24f zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H123 zenon_H285 zenon_H22b zenon_H22c zenon_H237 zenon_H104 zenon_H28d zenon_H8e zenon_H13b zenon_H1e1. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.41/1.56 apply (zenon_L1236_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.41/1.56 apply (zenon_L965_); trivial. % 1.41/1.56 apply (zenon_L701_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.41/1.56 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.41/1.56 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.41/1.56 apply (zenon_L643_); trivial. % 1.41/1.56 apply (zenon_L1265_); trivial. % 1.41/1.56 (* end of lemma zenon_L1266_ *) % 1.41/1.56 assert (zenon_L1267_ : ((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> False). % 1.41/1.56 do 0 intro. intros zenon_H1bc zenon_H2f2 zenon_Hc0 zenon_H1a zenon_H1c zenon_H1ba zenon_H1e1 zenon_H13b zenon_H8e zenon_H28d zenon_H104 zenon_H237 zenon_H22c zenon_H22b zenon_H285 zenon_H123 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H24f zenon_H8a zenon_H12c zenon_H203 zenon_Hca zenon_Hcb zenon_Hcc zenon_H155 zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H184 zenon_H185 zenon_H186 zenon_H192 zenon_H30 zenon_H274 zenon_H254 zenon_H102 zenon_H242 zenon_H278 zenon_H277 zenon_H276 zenon_H198. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.41/1.56 apply (zenon_L1266_); trivial. % 1.41/1.56 apply (zenon_L1209_); trivial. % 1.41/1.56 (* end of lemma zenon_L1267_ *) % 1.41/1.56 assert (zenon_L1268_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> (ndr1_0) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> (~(hskp0)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/((hskp0)\/(hskp11))) -> False). % 1.41/1.56 do 0 intro. intros zenon_H19b zenon_H1bf zenon_H2f2 zenon_H1a zenon_H1c zenon_H1ba zenon_H1e1 zenon_H13b zenon_H104 zenon_H203 zenon_H155 zenon_H1e7 zenon_H242 zenon_H8e zenon_H274 zenon_H30 zenon_H192 zenon_H186 zenon_H185 zenon_H184 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H28d zenon_H285 zenon_H123 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H22b zenon_H22c zenon_H237 zenon_H24f zenon_H8a zenon_H12c zenon_Hbf zenon_H66 zenon_H174 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H2be zenon_H102 zenon_H254 zenon_H1c3 zenon_Hc0 zenon_H198 zenon_Hf zenon_H276 zenon_H277 zenon_H278 zenon_H27f zenon_H281. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.41/1.56 apply (zenon_L267_); trivial. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.41/1.56 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.41/1.56 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.41/1.56 apply (zenon_L1264_); trivial. % 1.41/1.56 apply (zenon_L1267_); trivial. % 1.41/1.56 (* end of lemma zenon_L1268_ *) % 1.41/1.56 assert (zenon_L1269_ : ((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (c3_1 (a598)) -> (c0_1 (a598)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> False). % 1.44/1.56 do 0 intro. intros zenon_H1bc zenon_H2f2 zenon_H6a zenon_Hc0 zenon_H5f zenon_H62 zenon_H1c3 zenon_H54 zenon_H160 zenon_H15f zenon_H1e1 zenon_H13b zenon_H8e zenon_H28d zenon_H104 zenon_H237 zenon_H22c zenon_H22b zenon_H285 zenon_H123 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H24f zenon_H8a zenon_H12c zenon_H203 zenon_Hca zenon_Hcb zenon_Hcc zenon_H155 zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H184 zenon_H185 zenon_H186 zenon_H192 zenon_H30 zenon_H274 zenon_H254 zenon_H102 zenon_H242 zenon_H278 zenon_H277 zenon_H276 zenon_H198. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.44/1.56 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.44/1.56 apply (zenon_L1266_); trivial. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.44/1.56 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.56 apply (zenon_L1163_); trivial. % 1.44/1.56 apply (zenon_L698_); trivial. % 1.44/1.56 (* end of lemma zenon_L1269_ *) % 1.44/1.56 assert (zenon_L1270_ : ((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp10))) -> (~(c0_1 (a601))) -> (~(c2_1 (a601))) -> (~(c1_1 (a601))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (~(hskp10)) -> False). % 1.44/1.56 do 0 intro. intros zenon_H32 zenon_H217 zenon_H257 zenon_H258 zenon_H259 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H299 zenon_H298 zenon_H297 zenon_H1a. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hf. zenon_intro zenon_H33. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H1f. zenon_intro zenon_H34. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.44/1.56 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H218 ]. % 1.44/1.56 apply (zenon_L867_); trivial. % 1.44/1.56 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H9d | zenon_intro zenon_H1b ]. % 1.44/1.56 apply (zenon_L320_); trivial. % 1.44/1.56 exact (zenon_H1a zenon_H1b). % 1.44/1.56 (* end of lemma zenon_L1270_ *) % 1.44/1.56 assert (zenon_L1271_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp17)) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c1_1 (a601))) -> (~(c2_1 (a601))) -> (~(c0_1 (a601))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.44/1.56 do 0 intro. intros zenon_H12c zenon_H123 zenon_Ha zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H83 zenon_H1e7 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hf zenon_H1eb zenon_H259 zenon_H258 zenon_H257 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H297 zenon_H298 zenon_H299 zenon_H1a zenon_H217 zenon_H30. % 1.44/1.56 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.44/1.56 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.44/1.56 apply (zenon_L686_); trivial. % 1.44/1.56 apply (zenon_L1270_); trivial. % 1.44/1.56 apply (zenon_L1216_); trivial. % 1.44/1.56 (* end of lemma zenon_L1271_ *) % 1.44/1.56 assert (zenon_L1272_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp10))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((hskp26)\/(hskp11)) -> (~(hskp11)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.44/1.56 do 0 intro. intros zenon_H1bf zenon_H2f2 zenon_H1e1 zenon_H106 zenon_H12c zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H1e7 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H1eb zenon_H297 zenon_H298 zenon_H299 zenon_H1a zenon_H217 zenon_H30 zenon_H1ba zenon_H1c zenon_Hc0 zenon_H8e zenon_H242 zenon_H125 zenon_H42 zenon_H128 zenon_H254 zenon_H5 zenon_H3 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H66. % 1.44/1.56 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.44/1.56 apply (zenon_L893_); trivial. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.44/1.56 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.44/1.56 apply (zenon_L866_); trivial. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.44/1.56 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.56 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.56 apply (zenon_L1271_); trivial. % 1.44/1.56 apply (zenon_L1130_); trivial. % 1.44/1.56 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.44/1.56 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.44/1.56 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.44/1.56 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.44/1.56 apply (zenon_L1185_); trivial. % 1.44/1.56 apply (zenon_L139_); trivial. % 1.44/1.56 (* end of lemma zenon_L1272_ *) % 1.44/1.56 assert (zenon_L1273_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.44/1.56 do 0 intro. intros zenon_H1e1 zenon_H297 zenon_H298 zenon_H299 zenon_H106 zenon_H12c zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H1e7 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hf zenon_H2ab zenon_H3 zenon_H178 zenon_H177 zenon_H176 zenon_H125 zenon_H42 zenon_H128 zenon_H30 zenon_H8e. % 1.44/1.56 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.56 apply (zenon_L1218_); trivial. % 1.44/1.56 apply (zenon_L1183_); trivial. % 1.44/1.56 (* end of lemma zenon_L1273_ *) % 1.44/1.56 assert (zenon_L1274_ : ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((hskp26)\/(hskp11)) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp10))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> False). % 1.44/1.56 do 0 intro. intros zenon_H1a0 zenon_H2ab zenon_H19b zenon_H159 zenon_H155 zenon_H222 zenon_H48 zenon_H40 zenon_H66 zenon_H174 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H5 zenon_H254 zenon_H128 zenon_H42 zenon_H125 zenon_H242 zenon_H8e zenon_Hc0 zenon_H1c zenon_H1ba zenon_H30 zenon_H217 zenon_H299 zenon_H298 zenon_H297 zenon_H1eb zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H28d zenon_H1e7 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H12c zenon_H106 zenon_H1e1 zenon_H2f2 zenon_H1bf zenon_H6a zenon_H62 zenon_H31 zenon_H209. % 1.44/1.56 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.44/1.56 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.44/1.56 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.56 apply (zenon_L1272_); trivial. % 1.44/1.56 apply (zenon_L972_); trivial. % 1.44/1.56 apply (zenon_L974_); trivial. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.44/1.56 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.56 apply (zenon_L1273_); trivial. % 1.44/1.56 apply (zenon_L972_); trivial. % 1.44/1.56 (* end of lemma zenon_L1274_ *) % 1.44/1.56 assert (zenon_L1275_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (ndr1_0) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> False). % 1.44/1.56 do 0 intro. intros zenon_H12c zenon_H8a zenon_H1eb zenon_Ha zenon_H123 zenon_H285 zenon_H12f zenon_H130 zenon_H12e zenon_H90 zenon_H91 zenon_H92 zenon_H297 zenon_H298 zenon_H299 zenon_H106 zenon_Hbf zenon_H66 zenon_H174 zenon_H46 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H2be zenon_H184 zenon_H186 zenon_H185 zenon_Hf zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H102 zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hcc zenon_Hcb zenon_Hca zenon_H24f zenon_Hc0 zenon_H254. % 1.44/1.56 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.44/1.56 apply (zenon_L1223_); trivial. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.44/1.56 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.44/1.56 apply (zenon_L589_); trivial. % 1.44/1.56 apply (zenon_L1228_); trivial. % 1.44/1.56 (* end of lemma zenon_L1275_ *) % 1.44/1.56 assert (zenon_L1276_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.44/1.56 do 0 intro. intros zenon_H194 zenon_H1e1 zenon_H13b zenon_H1c zenon_H1a zenon_H104 zenon_H28d zenon_H106 zenon_H299 zenon_H298 zenon_H297 zenon_H285 zenon_H8a zenon_H203 zenon_H107 zenon_H155 zenon_H12c zenon_H30 zenon_H123 zenon_H1eb zenon_H1e7 zenon_Hbf zenon_H66 zenon_H174 zenon_H46 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H2be zenon_H184 zenon_H186 zenon_H185 zenon_H102 zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hcc zenon_Hcb zenon_Hca zenon_H24f zenon_Hc0 zenon_H254 zenon_H8e. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.56 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.56 apply (zenon_L1224_); trivial. % 1.44/1.56 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.44/1.56 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.44/1.56 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.44/1.56 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.56 apply (zenon_L1174_); trivial. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.56 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.56 apply (zenon_L1275_); trivial. % 1.44/1.56 apply (zenon_L1122_); trivial. % 1.44/1.56 (* end of lemma zenon_L1276_ *) % 1.44/1.56 assert (zenon_L1277_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.44/1.56 do 0 intro. intros zenon_H194 zenon_H1e1 zenon_H13b zenon_H160 zenon_H15e zenon_H15f zenon_H28d zenon_H106 zenon_H299 zenon_H298 zenon_H297 zenon_H285 zenon_H8a zenon_H203 zenon_H107 zenon_H155 zenon_H12c zenon_H30 zenon_H123 zenon_H1eb zenon_H1e7 zenon_Hbf zenon_H66 zenon_H174 zenon_H46 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H2be zenon_H184 zenon_H186 zenon_H185 zenon_H102 zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hcc zenon_Hcb zenon_Hca zenon_H24f zenon_Hc0 zenon_H254 zenon_H8e. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.56 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.56 apply (zenon_L1224_); trivial. % 1.44/1.56 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.44/1.56 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.44/1.56 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.44/1.56 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.56 apply (zenon_L1174_); trivial. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.56 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.56 apply (zenon_L1275_); trivial. % 1.44/1.56 apply (zenon_L1139_); trivial. % 1.44/1.56 (* end of lemma zenon_L1277_ *) % 1.44/1.56 assert (zenon_L1278_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (~(hskp7)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> False). % 1.44/1.56 do 0 intro. intros zenon_H197 zenon_H1bf zenon_H159 zenon_H42 zenon_H222 zenon_H1e1 zenon_Hbf zenon_H66 zenon_H174 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H8 zenon_H9b zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H184 zenon_H185 zenon_H186 zenon_H192 zenon_H30 zenon_H8e zenon_H254 zenon_Hc0 zenon_H24f zenon_H1c3 zenon_H102 zenon_H2be zenon_H1eb zenon_H123 zenon_H12c zenon_H155 zenon_H107 zenon_H203 zenon_H8a zenon_H285 zenon_H297 zenon_H298 zenon_H299 zenon_H106 zenon_H28d zenon_H15f zenon_H15e zenon_H160 zenon_H13b zenon_H198. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.56 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.44/1.56 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.56 apply (zenon_L1222_); trivial. % 1.44/1.56 apply (zenon_L1277_); trivial. % 1.44/1.56 apply (zenon_L337_); trivial. % 1.44/1.56 (* end of lemma zenon_L1278_ *) % 1.44/1.56 assert (zenon_L1279_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.44/1.56 do 0 intro. intros zenon_H194 zenon_H1e1 zenon_H128 zenon_H42 zenon_H125 zenon_H176 zenon_H177 zenon_H178 zenon_H297 zenon_H298 zenon_H299 zenon_H106 zenon_H12c zenon_H30 zenon_H123 zenon_H1eb zenon_H1e7 zenon_Hbf zenon_H66 zenon_H174 zenon_H46 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H2be zenon_H184 zenon_H186 zenon_H185 zenon_H102 zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hcc zenon_Hcb zenon_Hca zenon_H24f zenon_Hc0 zenon_H254 zenon_H8e. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.56 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.56 apply (zenon_L1224_); trivial. % 1.44/1.56 apply (zenon_L1183_); trivial. % 1.44/1.56 (* end of lemma zenon_L1279_ *) % 1.44/1.56 assert (zenon_L1280_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> False). % 1.44/1.56 do 0 intro. intros zenon_H197 zenon_H1bf zenon_H159 zenon_H42 zenon_H222 zenon_H2ad zenon_H299 zenon_H298 zenon_H297 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H8e zenon_H254 zenon_Hc0 zenon_H24f zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3 zenon_H102 zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H66 zenon_Hbf zenon_H1e7 zenon_H1eb zenon_H123 zenon_H30 zenon_H12c zenon_H155 zenon_H107 zenon_H203 zenon_H8a zenon_H285 zenon_H106 zenon_H28d zenon_H15f zenon_H15e zenon_H160 zenon_H13b zenon_H1e1 zenon_H198. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.56 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.44/1.56 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.56 apply (zenon_L349_); trivial. % 1.44/1.56 apply (zenon_L1277_); trivial. % 1.44/1.56 apply (zenon_L337_); trivial. % 1.44/1.56 (* end of lemma zenon_L1280_ *) % 1.44/1.56 assert (zenon_L1281_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c1_1 (a603))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> False). % 1.44/1.56 do 0 intro. intros zenon_Hc6 zenon_H13b zenon_H8e zenon_H1c zenon_H1a zenon_H104 zenon_H28d zenon_H30 zenon_H254 zenon_Hc0 zenon_H24f zenon_H2c9 zenon_H1c3 zenon_H102 zenon_He4 zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H46 zenon_H174 zenon_H66 zenon_Hbf zenon_H106 zenon_H299 zenon_H298 zenon_H297 zenon_H285 zenon_H123 zenon_H1eb zenon_H8a zenon_H12c zenon_H203 zenon_H2ca zenon_H2c8 zenon_Hca zenon_Hcb zenon_Hcc zenon_H107 zenon_Hd8 zenon_Hd7 zenon_H237 zenon_H22c zenon_H22b zenon_H155. % 1.44/1.56 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.44/1.56 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.44/1.56 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.44/1.56 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.56 apply (zenon_L658_); trivial. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.56 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.56 apply (zenon_L1275_); trivial. % 1.44/1.56 apply (zenon_L1195_); trivial. % 1.44/1.56 (* end of lemma zenon_L1281_ *) % 1.44/1.56 assert (zenon_L1282_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.44/1.56 do 0 intro. intros zenon_H194 zenon_H1e1 zenon_H13b zenon_H1c zenon_H1a zenon_H104 zenon_H28d zenon_Hc0 zenon_H1c3 zenon_H2be zenon_H140 zenon_H46 zenon_H174 zenon_H66 zenon_Hbf zenon_H106 zenon_H299 zenon_H298 zenon_H297 zenon_H285 zenon_H8a zenon_H203 zenon_Hca zenon_Hcb zenon_Hcc zenon_H107 zenon_H155 zenon_H12c zenon_H30 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H1eb zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1e7 zenon_H242 zenon_H240 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H22b zenon_H22c zenon_H237 zenon_H102 zenon_H184 zenon_H186 zenon_H185 zenon_H24f zenon_H254 zenon_H8e. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.56 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.56 apply (zenon_L1237_); trivial. % 1.44/1.56 apply (zenon_L1281_); trivial. % 1.44/1.56 (* end of lemma zenon_L1282_ *) % 1.44/1.56 assert (zenon_L1283_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c1_1 (a601))) -> (~(c2_1 (a601))) -> (~(c0_1 (a601))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.44/1.56 do 0 intro. intros zenon_H194 zenon_H1e1 zenon_H13b zenon_H8e zenon_H1c zenon_H1a zenon_H28d zenon_H254 zenon_Hc0 zenon_H24f zenon_H1c3 zenon_H102 zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H46 zenon_H174 zenon_H66 zenon_Hbf zenon_H106 zenon_H299 zenon_H298 zenon_H297 zenon_H285 zenon_H123 zenon_H8a zenon_H12c zenon_H203 zenon_H107 zenon_H155 zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H1eb zenon_H259 zenon_H258 zenon_H257 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H30. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.56 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.56 apply (zenon_L1144_); trivial. % 1.44/1.56 apply (zenon_L1281_); trivial. % 1.44/1.56 (* end of lemma zenon_L1283_ *) % 1.44/1.56 assert (zenon_L1284_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.44/1.56 do 0 intro. intros zenon_H194 zenon_H1e1 zenon_H13b zenon_H160 zenon_H15e zenon_H15f zenon_H28d zenon_Hc0 zenon_H1c3 zenon_H2be zenon_H140 zenon_H46 zenon_H174 zenon_H66 zenon_Hbf zenon_H106 zenon_H299 zenon_H298 zenon_H297 zenon_H285 zenon_H8a zenon_H203 zenon_Hca zenon_Hcb zenon_Hcc zenon_H107 zenon_H155 zenon_H12c zenon_H30 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H1eb zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1e7 zenon_H242 zenon_H240 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H22b zenon_H22c zenon_H237 zenon_H102 zenon_H184 zenon_H186 zenon_H185 zenon_H24f zenon_H254 zenon_H8e. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.56 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.56 apply (zenon_L1237_); trivial. % 1.44/1.56 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.44/1.56 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.44/1.56 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.44/1.56 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.56 apply (zenon_L658_); trivial. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.56 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.56 apply (zenon_L1275_); trivial. % 1.44/1.56 apply (zenon_L1149_); trivial. % 1.44/1.56 (* end of lemma zenon_L1284_ *) % 1.44/1.56 assert (zenon_L1285_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (~(c0_1 (a601))) -> (~(c2_1 (a601))) -> (~(c1_1 (a601))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> False). % 1.44/1.56 do 0 intro. intros zenon_Hc6 zenon_H13b zenon_H8e zenon_H160 zenon_H15e zenon_H15f zenon_H30 zenon_H106 zenon_H299 zenon_H298 zenon_H297 zenon_H257 zenon_H258 zenon_H259 zenon_H1eb zenon_H28d zenon_H104 zenon_H237 zenon_H22c zenon_H22b zenon_H285 zenon_H123 zenon_H24f zenon_H8a zenon_H12c zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hcc zenon_Hcb zenon_Hca zenon_H203 zenon_H174 zenon_H46 zenon_Hd7 zenon_Hd8 zenon_H107 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H155 zenon_Hc0. % 1.44/1.56 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.44/1.56 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.44/1.56 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.44/1.56 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.56 apply (zenon_L1174_); trivial. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.56 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.56 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.56 apply (zenon_L1186_); trivial. % 1.44/1.56 apply (zenon_L1139_); trivial. % 1.44/1.57 (* end of lemma zenon_L1285_ *) % 1.44/1.57 assert (zenon_L1286_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c1_1 (a601))) -> (~(c2_1 (a601))) -> (~(c0_1 (a601))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.44/1.57 do 0 intro. intros zenon_H194 zenon_H1e1 zenon_H13b zenon_H8e zenon_H160 zenon_H15e zenon_H15f zenon_H106 zenon_H299 zenon_H298 zenon_H297 zenon_H28d zenon_H285 zenon_H123 zenon_H24f zenon_H8a zenon_H12c zenon_H1c3 zenon_H203 zenon_H174 zenon_H46 zenon_H107 zenon_H155 zenon_Hc0 zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H1eb zenon_H259 zenon_H258 zenon_H257 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H30. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.57 apply (zenon_L1144_); trivial. % 1.44/1.57 apply (zenon_L1285_); trivial. % 1.44/1.57 (* end of lemma zenon_L1286_ *) % 1.44/1.57 assert (zenon_L1287_ : ((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> (~(hskp7)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> False). % 1.44/1.57 do 0 intro. intros zenon_H2c5 zenon_H198 zenon_H13b zenon_H8e zenon_H160 zenon_H15e zenon_H15f zenon_H106 zenon_H299 zenon_H298 zenon_H297 zenon_H28d zenon_H285 zenon_H123 zenon_H24f zenon_H8a zenon_H12c zenon_H1c3 zenon_H203 zenon_H107 zenon_H155 zenon_Hc0 zenon_H1eb zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H30 zenon_H192 zenon_H186 zenon_H185 zenon_H184 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1e7 zenon_H9b zenon_H8 zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H46 zenon_H174 zenon_H66 zenon_Hbf zenon_H1e1. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.57 apply (zenon_L1222_); trivial. % 1.44/1.57 apply (zenon_L1286_); trivial. % 1.44/1.57 (* end of lemma zenon_L1287_ *) % 1.44/1.57 assert (zenon_L1288_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (~(hskp7)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp13)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.44/1.57 do 0 intro. intros zenon_H137 zenon_H8e zenon_Hbf zenon_H6a zenon_H66 zenon_H62 zenon_H5f zenon_H265 zenon_H274 zenon_H15f zenon_H160 zenon_H54 zenon_H90 zenon_H91 zenon_H92 zenon_H8 zenon_H9b zenon_H254 zenon_H24f zenon_H185 zenon_H186 zenon_H184 zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H102 zenon_H237 zenon_H22c zenon_H22b zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H240 zenon_H242 zenon_H104 zenon_Hcc zenon_Hcb zenon_Hca zenon_H285 zenon_H123 zenon_H1eb zenon_H8a zenon_H12c. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.57 apply (zenon_L1238_); trivial. % 1.44/1.57 apply (zenon_L772_); trivial. % 1.44/1.57 (* end of lemma zenon_L1288_ *) % 1.44/1.57 assert (zenon_L1289_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.44/1.57 do 0 intro. intros zenon_H137 zenon_H8e zenon_H1c3 zenon_H1c zenon_H1a zenon_Hc0 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H30 zenon_H24f zenon_H185 zenon_H186 zenon_H184 zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H102 zenon_H176 zenon_H177 zenon_H178 zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H285 zenon_H123 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H8a zenon_H12c. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.57 apply (zenon_L1247_); trivial. % 1.44/1.57 apply (zenon_L1195_); trivial. % 1.44/1.57 (* end of lemma zenon_L1289_ *) % 1.44/1.57 assert (zenon_L1290_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> False). % 1.44/1.57 do 0 intro. intros zenon_H194 zenon_H1e1 zenon_H106 zenon_H299 zenon_H298 zenon_H297 zenon_H203 zenon_H107 zenon_H155 zenon_H12c zenon_H30 zenon_H104 zenon_Hcc zenon_Hcb zenon_Hca zenon_H1eb zenon_H176 zenon_H177 zenon_H178 zenon_H287 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1e7 zenon_H242 zenon_H240 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H22b zenon_H22c zenon_H237 zenon_H102 zenon_H184 zenon_H186 zenon_H185 zenon_H24f zenon_H254 zenon_H8a zenon_H123 zenon_H285 zenon_H28d zenon_Hc0 zenon_H1a zenon_H1c zenon_H1c3 zenon_H8e zenon_H13b. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.57 apply (zenon_L1256_); trivial. % 1.44/1.57 apply (zenon_L1289_); trivial. % 1.44/1.57 apply (zenon_L830_); trivial. % 1.44/1.57 (* end of lemma zenon_L1290_ *) % 1.44/1.57 assert (zenon_L1291_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c1_1 (a601))) -> (~(c2_1 (a601))) -> (~(c0_1 (a601))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp14)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.44/1.57 do 0 intro. intros zenon_H1e1 zenon_H13b zenon_H12c zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H176 zenon_H177 zenon_H178 zenon_H285 zenon_H28d zenon_H1eb zenon_H259 zenon_H258 zenon_H257 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H106 zenon_H203 zenon_H297 zenon_H298 zenon_H299 zenon_H2ad zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hf zenon_H184 zenon_H185 zenon_H186 zenon_Hd3 zenon_H192 zenon_H30. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.57 apply (zenon_L652_); trivial. % 1.44/1.57 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.44/1.57 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.44/1.57 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.57 apply (zenon_L823_); trivial. % 1.44/1.57 apply (zenon_L1193_); trivial. % 1.44/1.57 (* end of lemma zenon_L1291_ *) % 1.44/1.57 assert (zenon_L1292_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c1_1 (a601))) -> (~(c2_1 (a601))) -> (~(c0_1 (a601))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.44/1.57 do 0 intro. intros zenon_H194 zenon_H1e1 zenon_H13b zenon_H12c zenon_H8a zenon_H285 zenon_H106 zenon_H299 zenon_H298 zenon_H297 zenon_H178 zenon_H177 zenon_H176 zenon_H102 zenon_H184 zenon_H186 zenon_H185 zenon_H24f zenon_H203 zenon_H107 zenon_H155 zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H1eb zenon_H259 zenon_H258 zenon_H257 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H30. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.57 apply (zenon_L1144_); trivial. % 1.44/1.57 apply (zenon_L830_); trivial. % 1.44/1.57 (* end of lemma zenon_L1292_ *) % 1.44/1.57 assert (zenon_L1293_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(hskp11)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> False). % 1.44/1.57 do 0 intro. intros zenon_H194 zenon_H1e1 zenon_H106 zenon_H303 zenon_H107 zenon_H237 zenon_H22c zenon_H22b zenon_H297 zenon_H298 zenon_H299 zenon_H3 zenon_H2f5 zenon_H30 zenon_H24f zenon_H185 zenon_H186 zenon_H184 zenon_H102 zenon_H176 zenon_H177 zenon_H178 zenon_H2ab zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1e7 zenon_H8a zenon_H85 zenon_H285 zenon_H160 zenon_H15e zenon_H15f zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H229 zenon_H12c zenon_H13b. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.57 apply (zenon_L1106_); trivial. % 1.44/1.57 apply (zenon_L1204_); trivial. % 1.44/1.57 apply (zenon_L1111_); trivial. % 1.44/1.57 (* end of lemma zenon_L1293_ *) % 1.44/1.57 assert (zenon_L1294_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp14)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.44/1.57 do 0 intro. intros zenon_H1e1 zenon_H13b zenon_H8e zenon_Hc0 zenon_H46 zenon_H174 zenon_H1c3 zenon_H160 zenon_H15e zenon_H15f zenon_H106 zenon_H28d zenon_H104 zenon_Hcc zenon_Hcb zenon_Hca zenon_H237 zenon_H22c zenon_H22b zenon_H285 zenon_H123 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H24f zenon_H8a zenon_H12c zenon_H203 zenon_H297 zenon_H298 zenon_H299 zenon_H2ad zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hf zenon_H184 zenon_H185 zenon_H186 zenon_Hd3 zenon_H192 zenon_H30. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.57 apply (zenon_L652_); trivial. % 1.44/1.57 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.44/1.57 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.44/1.57 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.57 apply (zenon_L823_); trivial. % 1.44/1.57 apply (zenon_L1246_); trivial. % 1.44/1.57 (* end of lemma zenon_L1294_ *) % 1.44/1.57 assert (zenon_L1295_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (ndr1_0) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> False). % 1.44/1.57 do 0 intro. intros zenon_H12c zenon_H8a zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_Ha zenon_H123 zenon_H285 zenon_H12f zenon_H130 zenon_H12e zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H106 zenon_H299 zenon_H298 zenon_H297 zenon_H92 zenon_H91 zenon_H90 zenon_H178 zenon_H177 zenon_H176 zenon_Hf zenon_H22b zenon_H22c zenon_H237 zenon_H102 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H184 zenon_H186 zenon_H185 zenon_H24f. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.44/1.57 apply (zenon_L828_); trivial. % 1.44/1.57 apply (zenon_L1048_); trivial. % 1.44/1.57 (* end of lemma zenon_L1295_ *) % 1.44/1.57 assert (zenon_L1296_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> (~(c1_1 (a603))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> False). % 1.44/1.57 do 0 intro. intros zenon_Hc6 zenon_H13b zenon_H8e zenon_H160 zenon_H15e zenon_H15f zenon_H28d zenon_H2c9 zenon_H30 zenon_H24f zenon_H185 zenon_H186 zenon_H184 zenon_He4 zenon_H102 zenon_H176 zenon_H177 zenon_H178 zenon_H297 zenon_H298 zenon_H299 zenon_H106 zenon_H104 zenon_H285 zenon_H123 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H8a zenon_H12c zenon_H203 zenon_H2ca zenon_H2c8 zenon_Hca zenon_Hcb zenon_Hcc zenon_H107 zenon_Hd8 zenon_Hd7 zenon_H237 zenon_H22c zenon_H22b zenon_H155. % 1.44/1.57 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.44/1.57 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.44/1.57 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.57 apply (zenon_L658_); trivial. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.57 apply (zenon_L1295_); trivial. % 1.44/1.57 apply (zenon_L1149_); trivial. % 1.44/1.57 (* end of lemma zenon_L1296_ *) % 1.44/1.57 assert (zenon_L1297_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> False). % 1.44/1.57 do 0 intro. intros zenon_H194 zenon_H1e1 zenon_H8e zenon_H28d zenon_H297 zenon_H298 zenon_H299 zenon_H106 zenon_H123 zenon_H203 zenon_H107 zenon_H155 zenon_H12c zenon_H30 zenon_H104 zenon_Hcc zenon_Hcb zenon_Hca zenon_H1eb zenon_H176 zenon_H177 zenon_H178 zenon_H287 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1e7 zenon_H242 zenon_H240 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H22b zenon_H22c zenon_H237 zenon_H102 zenon_H184 zenon_H186 zenon_H185 zenon_H24f zenon_H254 zenon_H285 zenon_H15e zenon_H15f zenon_H160 zenon_H85 zenon_H8a zenon_H13b. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.57 apply (zenon_L1256_); trivial. % 1.44/1.57 apply (zenon_L681_); trivial. % 1.44/1.57 apply (zenon_L1296_); trivial. % 1.44/1.57 (* end of lemma zenon_L1297_ *) % 1.44/1.57 assert (zenon_L1298_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (ndr1_0) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> False). % 1.44/1.57 do 0 intro. intros zenon_H198 zenon_H107 zenon_H155 zenon_H176 zenon_H177 zenon_H178 zenon_H287 zenon_H242 zenon_H240 zenon_H102 zenon_H254 zenon_H85 zenon_H30 zenon_H192 zenon_H186 zenon_H185 zenon_H184 zenon_Hf zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1e7 zenon_H2ad zenon_H299 zenon_H298 zenon_H297 zenon_H203 zenon_H12c zenon_H8a zenon_H24f zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H123 zenon_H285 zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H28d zenon_H106 zenon_H15f zenon_H15e zenon_H160 zenon_H1c3 zenon_H174 zenon_H46 zenon_Hc0 zenon_H8e zenon_H13b zenon_H1e1. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.57 apply (zenon_L1294_); trivial. % 1.44/1.57 apply (zenon_L1297_); trivial. % 1.44/1.57 (* end of lemma zenon_L1298_ *) % 1.44/1.57 assert (zenon_L1299_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> (~(c1_1 (a603))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> False). % 1.44/1.57 do 0 intro. intros zenon_Hc6 zenon_H13b zenon_H8e zenon_H6e zenon_H6d zenon_H6c zenon_H28d zenon_H2c9 zenon_H30 zenon_H24f zenon_H185 zenon_H186 zenon_H184 zenon_He4 zenon_H102 zenon_H176 zenon_H177 zenon_H178 zenon_H297 zenon_H298 zenon_H299 zenon_H106 zenon_H104 zenon_H285 zenon_H123 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H8a zenon_H12c zenon_H203 zenon_H2ca zenon_H2c8 zenon_Hca zenon_Hcb zenon_Hcc zenon_H107 zenon_Hd8 zenon_Hd7 zenon_H237 zenon_H22c zenon_H22b zenon_H155. % 1.44/1.57 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.44/1.57 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.44/1.57 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.57 apply (zenon_L658_); trivial. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.57 apply (zenon_L1295_); trivial. % 1.44/1.57 apply (zenon_L1153_); trivial. % 1.44/1.57 (* end of lemma zenon_L1299_ *) % 1.44/1.57 assert (zenon_L1300_ : ((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> False). % 1.44/1.57 do 0 intro. intros zenon_H2c5 zenon_H198 zenon_H102 zenon_H176 zenon_H177 zenon_H178 zenon_H297 zenon_H298 zenon_H299 zenon_H106 zenon_H107 zenon_H30 zenon_H192 zenon_H186 zenon_H185 zenon_H184 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1e7 zenon_H155 zenon_H6e zenon_H6d zenon_H6c zenon_Hcc zenon_Hcb zenon_Hca zenon_H203 zenon_H12c zenon_H8a zenon_H24f zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H123 zenon_H285 zenon_H22b zenon_H22c zenon_H237 zenon_H104 zenon_H28d zenon_H8e zenon_H13b zenon_H1e1. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.57 apply (zenon_L1236_); trivial. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.57 apply (zenon_L1144_); trivial. % 1.44/1.57 apply (zenon_L1299_); trivial. % 1.44/1.57 (* end of lemma zenon_L1300_ *) % 1.44/1.57 assert (zenon_L1301_ : ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(c0_1 (a590))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> ((hskp26)\/(hskp11)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> False). % 1.44/1.57 do 0 intro. intros zenon_H1a0 zenon_H303 zenon_H107 zenon_H2f5 zenon_H1b5 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H19b zenon_H1bf zenon_H2f2 zenon_H1e1 zenon_H13b zenon_H8e zenon_H106 zenon_H299 zenon_H298 zenon_H297 zenon_H28d zenon_H285 zenon_H123 zenon_H12c zenon_H203 zenon_H155 zenon_H1e7 zenon_H1eb zenon_H104 zenon_H30 zenon_H242 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H77 zenon_H22b zenon_H24f zenon_H8a zenon_H254 zenon_H48 zenon_H40 zenon_H5 zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H22c zenon_H237 zenon_H1c zenon_Hc0 zenon_H66 zenon_H6a zenon_H62 zenon_H31 zenon_H174 zenon_H85 zenon_H209. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.44/1.57 apply (zenon_L1192_); trivial. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.44/1.57 apply (zenon_L1189_); trivial. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.44/1.57 apply (zenon_L872_); trivial. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.57 apply (zenon_L115_); trivial. % 1.44/1.57 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.44/1.57 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.44/1.57 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.57 apply (zenon_L1106_); trivial. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.44/1.57 apply (zenon_L135_); trivial. % 1.44/1.57 apply (zenon_L826_); trivial. % 1.44/1.57 apply (zenon_L1190_); trivial. % 1.44/1.57 (* end of lemma zenon_L1301_ *) % 1.44/1.57 assert (zenon_L1302_ : ((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> False). % 1.44/1.57 do 0 intro. intros zenon_H1bc zenon_H198 zenon_H1e1 zenon_H13b zenon_H28d zenon_H104 zenon_H285 zenon_H8a zenon_H203 zenon_H107 zenon_H12c zenon_H30 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1e7 zenon_H155 zenon_Hcc zenon_Hcb zenon_Hca zenon_H22b zenon_H22c zenon_H237 zenon_H102 zenon_H184 zenon_H186 zenon_H185 zenon_H24f zenon_H8e zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H297 zenon_H298 zenon_H299 zenon_H2ad. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.57 apply (zenon_L349_); trivial. % 1.44/1.57 apply (zenon_L1253_); trivial. % 1.44/1.57 (* end of lemma zenon_L1302_ *) % 1.44/1.57 assert (zenon_L1303_ : ((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> False). % 1.44/1.57 do 0 intro. intros zenon_H2c5 zenon_H198 zenon_H1e1 zenon_H13b zenon_H8e zenon_H160 zenon_H15e zenon_H15f zenon_H106 zenon_H28d zenon_H285 zenon_H123 zenon_H24f zenon_H8a zenon_H12c zenon_H1c3 zenon_H203 zenon_H174 zenon_H46 zenon_H107 zenon_H155 zenon_Hc0 zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H30 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H297 zenon_H298 zenon_H299 zenon_H2ad. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.57 apply (zenon_L349_); trivial. % 1.44/1.57 apply (zenon_L1286_); trivial. % 1.44/1.57 (* end of lemma zenon_L1303_ *) % 1.44/1.57 assert (zenon_L1304_ : ((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600)))))) -> ((~(hskp13))\/((ndr1_0)/\((~(c0_1 (a601)))/\((~(c1_1 (a601)))/\(~(c2_1 (a601))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((hskp19)\/(hskp13))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> False). % 1.44/1.57 do 0 intro. intros zenon_H1bc zenon_H2f2 zenon_H106 zenon_H192 zenon_H2ad zenon_H299 zenon_H298 zenon_H297 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H13b zenon_H8e zenon_H28d zenon_H155 zenon_H285 zenon_H123 zenon_H8a zenon_H254 zenon_H24f zenon_H185 zenon_H186 zenon_H184 zenon_H102 zenon_H237 zenon_H22c zenon_H22b zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H242 zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H287 zenon_H178 zenon_H177 zenon_H176 zenon_H1eb zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H30 zenon_H12c zenon_H107 zenon_H203 zenon_H1e1 zenon_H198. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.57 apply (zenon_L349_); trivial. % 1.44/1.57 apply (zenon_L1257_); trivial. % 1.44/1.57 apply (zenon_L1300_); trivial. % 1.44/1.57 (* end of lemma zenon_L1304_ *) % 1.44/1.57 assert (zenon_L1305_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c1_1 (a603))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> False). % 1.44/1.57 do 0 intro. intros zenon_Hc6 zenon_H13b zenon_H8e zenon_H28d zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30 zenon_H254 zenon_H24f zenon_H102 zenon_He4 zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H66 zenon_Hbf zenon_H106 zenon_H299 zenon_H298 zenon_H297 zenon_H285 zenon_H123 zenon_H1eb zenon_H8a zenon_H12c zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hcc zenon_Hcb zenon_Hca zenon_H203 zenon_H174 zenon_H46 zenon_Hd7 zenon_Hd8 zenon_H107 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H155 zenon_Hc0. % 1.44/1.57 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.44/1.57 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.44/1.57 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.57 apply (zenon_L1174_); trivial. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.57 apply (zenon_L1275_); trivial. % 1.44/1.57 apply (zenon_L1160_); trivial. % 1.44/1.57 (* end of lemma zenon_L1305_ *) % 1.44/1.57 assert (zenon_L1306_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> (~(c2_1 (a593))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.44/1.57 do 0 intro. intros zenon_H194 zenon_H1e1 zenon_H13b zenon_H28d zenon_H106 zenon_H299 zenon_H298 zenon_H297 zenon_H203 zenon_H107 zenon_H155 zenon_H12c zenon_H8a zenon_H1eb zenon_H123 zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_Hbf zenon_H66 zenon_H174 zenon_H46 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H2be zenon_H184 zenon_H186 zenon_H185 zenon_H102 zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hcc zenon_Hcb zenon_Hca zenon_H24f zenon_Hc0 zenon_H254 zenon_H1e7 zenon_H274 zenon_H30 zenon_H8e. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.57 apply (zenon_L1262_); trivial. % 1.44/1.57 apply (zenon_L701_); trivial. % 1.44/1.57 apply (zenon_L1305_); trivial. % 1.44/1.57 (* end of lemma zenon_L1306_ *) % 1.44/1.57 assert (zenon_L1307_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (ndr1_0) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> False). % 1.44/1.57 do 0 intro. intros zenon_H198 zenon_H274 zenon_H254 zenon_H102 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H66 zenon_Hbf zenon_H278 zenon_H277 zenon_H276 zenon_H30 zenon_H192 zenon_H186 zenon_H185 zenon_H184 zenon_Hf zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1e7 zenon_H2ad zenon_H299 zenon_H298 zenon_H297 zenon_H203 zenon_H12c zenon_H8a zenon_H24f zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H123 zenon_H285 zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H28d zenon_H106 zenon_H15f zenon_H15e zenon_H160 zenon_H1c3 zenon_H174 zenon_H46 zenon_Hc0 zenon_H8e zenon_H13b zenon_H1e1. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.57 apply (zenon_L1294_); trivial. % 1.44/1.57 apply (zenon_L1263_); trivial. % 1.44/1.57 (* end of lemma zenon_L1307_ *) % 1.44/1.57 assert (zenon_L1308_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.44/1.57 do 0 intro. intros zenon_H194 zenon_H1e1 zenon_H13b zenon_H8e zenon_H6e zenon_H6d zenon_H6c zenon_H28d zenon_H2c9 zenon_H30 zenon_H297 zenon_H298 zenon_H299 zenon_H106 zenon_H123 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H203 zenon_H2ca zenon_H2c8 zenon_H107 zenon_H155 zenon_H24f zenon_H185 zenon_H186 zenon_H184 zenon_H102 zenon_H176 zenon_H177 zenon_H178 zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H15e zenon_H15f zenon_H160 zenon_H85 zenon_H8a zenon_H12c. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.57 apply (zenon_L856_); trivial. % 1.44/1.57 apply (zenon_L1299_); trivial. % 1.44/1.57 (* end of lemma zenon_L1308_ *) % 1.44/1.57 assert (zenon_L1309_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.44/1.57 do 0 intro. intros zenon_H197 zenon_H8e zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H274 zenon_H30 zenon_H1b5 zenon_H40 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H123 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H22b zenon_H22c zenon_H237 zenon_H24f zenon_H8a zenon_H12c. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.57 apply (zenon_L1116_); trivial. % 1.44/1.57 apply (zenon_L860_); trivial. % 1.44/1.57 (* end of lemma zenon_L1309_ *) % 1.44/1.57 assert (zenon_L1310_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a590))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((hskp26)\/(hskp11)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.44/1.57 do 0 intro. intros zenon_H19b zenon_H8e zenon_H28d zenon_H274 zenon_H30 zenon_H1b5 zenon_H40 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H123 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H22b zenon_H24f zenon_H8a zenon_H12c zenon_H5 zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H22c zenon_H237 zenon_H1a zenon_H1c zenon_Hc0 zenon_H66. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.57 apply (zenon_L656_); trivial. % 1.44/1.57 apply (zenon_L1309_); trivial. % 1.44/1.57 (* end of lemma zenon_L1310_ *) % 1.44/1.57 assert (zenon_L1311_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.44/1.57 do 0 intro. intros zenon_H137 zenon_H8e zenon_H155 zenon_H6e zenon_H6d zenon_H6c zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H30 zenon_H1b5 zenon_H40 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H123 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_Hca zenon_Hcb zenon_Hcc zenon_H1eb zenon_H22b zenon_H22c zenon_H237 zenon_H24f zenon_H8a zenon_H12c. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.57 apply (zenon_L1116_); trivial. % 1.44/1.57 apply (zenon_L1153_); trivial. % 1.44/1.57 (* end of lemma zenon_L1311_ *) % 1.44/1.57 assert (zenon_L1312_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> False). % 1.44/1.57 do 0 intro. intros zenon_Hc6 zenon_H13b zenon_H8e zenon_H6e zenon_H6d zenon_H6c zenon_H28d zenon_H2c9 zenon_H30 zenon_H1b5 zenon_H40 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H123 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H24f zenon_H8a zenon_H12c zenon_H203 zenon_H2ca zenon_H2c8 zenon_Hca zenon_Hcb zenon_Hcc zenon_H107 zenon_Hd8 zenon_Hd7 zenon_H237 zenon_H22c zenon_H22b zenon_H155. % 1.44/1.57 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.44/1.57 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.44/1.57 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.57 apply (zenon_L658_); trivial. % 1.44/1.57 apply (zenon_L1311_); trivial. % 1.44/1.57 (* end of lemma zenon_L1312_ *) % 1.44/1.57 assert (zenon_L1313_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> False). % 1.44/1.57 do 0 intro. intros zenon_H197 zenon_H1bf zenon_Hd5 zenon_H255 zenon_H6a zenon_H2ad zenon_H299 zenon_H298 zenon_H297 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H12c zenon_H8a zenon_H85 zenon_H160 zenon_H15f zenon_H15e zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H40 zenon_H1b5 zenon_H155 zenon_H22b zenon_H22c zenon_H237 zenon_H107 zenon_H2c8 zenon_H2ca zenon_H203 zenon_H24f zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H123 zenon_H30 zenon_H2c9 zenon_H28d zenon_H106 zenon_H1c3 zenon_H174 zenon_Hc0 zenon_H8e zenon_H13b zenon_H1e1 zenon_H198. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.57 apply (zenon_L349_); trivial. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.57 apply (zenon_L285_); trivial. % 1.44/1.57 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.44/1.57 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.44/1.57 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.57 apply (zenon_L658_); trivial. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.57 apply (zenon_L1116_); trivial. % 1.44/1.57 apply (zenon_L1139_); trivial. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.57 apply (zenon_L899_); trivial. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.57 apply (zenon_L285_); trivial. % 1.44/1.57 apply (zenon_L1312_); trivial. % 1.44/1.57 (* end of lemma zenon_L1313_ *) % 1.44/1.57 assert (zenon_L1314_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a617))/\((~(c0_1 (a617)))/\(~(c1_1 (a617))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp18))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/((hskp19)\/(hskp20))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> (ndr1_0) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> False). % 1.44/1.57 do 0 intro. intros zenon_H198 zenon_H8e zenon_Hc0 zenon_H1c3 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H274 zenon_H30 zenon_H254 zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H102 zenon_H185 zenon_H186 zenon_H184 zenon_H2be zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H46 zenon_H174 zenon_H66 zenon_Hbf zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H123 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1eb zenon_H8a zenon_H12c zenon_Hf zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H297 zenon_H298 zenon_H299 zenon_H2ad. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.57 apply (zenon_L349_); trivial. % 1.44/1.57 apply (zenon_L1263_); trivial. % 1.44/1.57 (* end of lemma zenon_L1314_ *) % 1.44/1.57 assert (zenon_L1315_ : (forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W)))))) -> (ndr1_0) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> False). % 1.44/1.57 do 0 intro. intros zenon_H10a zenon_Hf zenon_H304 zenon_H305 zenon_H306. % 1.44/1.57 generalize (zenon_H10a (a584)). zenon_intro zenon_H307. % 1.44/1.57 apply (zenon_imply_s _ _ zenon_H307); [ zenon_intro zenon_He | zenon_intro zenon_H308 ]. % 1.44/1.57 exact (zenon_He zenon_Hf). % 1.44/1.57 apply (zenon_or_s _ _ zenon_H308); [ zenon_intro zenon_H30a | zenon_intro zenon_H309 ]. % 1.44/1.57 exact (zenon_H304 zenon_H30a). % 1.44/1.57 apply (zenon_or_s _ _ zenon_H309); [ zenon_intro zenon_H30c | zenon_intro zenon_H30b ]. % 1.44/1.57 exact (zenon_H305 zenon_H30c). % 1.44/1.57 exact (zenon_H30b zenon_H306). % 1.44/1.57 (* end of lemma zenon_L1315_ *) % 1.44/1.57 assert (zenon_L1316_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((hskp10)\/(hskp7))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (ndr1_0) -> (~(hskp10)) -> (~(hskp7)) -> False). % 1.44/1.57 do 0 intro. intros zenon_H30d zenon_H306 zenon_H305 zenon_H304 zenon_Hf zenon_H1a zenon_H8. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H30d); [ zenon_intro zenon_H10a | zenon_intro zenon_H30e ]. % 1.44/1.57 apply (zenon_L1315_); trivial. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H30e); [ zenon_intro zenon_H1b | zenon_intro zenon_H9 ]. % 1.44/1.57 exact (zenon_H1a zenon_H1b). % 1.44/1.57 exact (zenon_H8 zenon_H9). % 1.44/1.57 (* end of lemma zenon_L1316_ *) % 1.44/1.57 assert (zenon_L1317_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (c2_1 (a599)) -> (forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4)))))) -> (~(c1_1 (a599))) -> (ndr1_0) -> (~(hskp17)) -> False). % 1.44/1.57 do 0 intro. intros zenon_H123 zenon_H306 zenon_H305 zenon_H304 zenon_Hcb zenon_H119 zenon_Hca zenon_Hf zenon_Ha. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10a | zenon_intro zenon_H124 ]. % 1.44/1.57 apply (zenon_L1315_); trivial. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H11f | zenon_intro zenon_Hb ]. % 1.44/1.57 apply (zenon_L78_); trivial. % 1.44/1.57 exact (zenon_Ha zenon_Hb). % 1.44/1.57 (* end of lemma zenon_L1317_ *) % 1.44/1.57 assert (zenon_L1318_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp17)) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp2)) -> (~(hskp7)) -> False). % 1.44/1.57 do 0 intro. intros zenon_H144 zenon_Ha zenon_Hf zenon_Hca zenon_Hcb zenon_H304 zenon_H305 zenon_H306 zenon_H123 zenon_H142 zenon_H8. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H119 | zenon_intro zenon_H145 ]. % 1.44/1.57 apply (zenon_L1317_); trivial. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H143 | zenon_intro zenon_H9 ]. % 1.44/1.57 exact (zenon_H142 zenon_H143). % 1.44/1.57 exact (zenon_H8 zenon_H9). % 1.44/1.57 (* end of lemma zenon_L1318_ *) % 1.44/1.57 assert (zenon_L1319_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp3))) -> (~(hskp3)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (ndr1_0) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(hskp12)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.44/1.57 do 0 intro. intros zenon_H198 zenon_H8e zenon_H15c zenon_H15a zenon_H123 zenon_H306 zenon_H305 zenon_H304 zenon_H142 zenon_H8 zenon_H144 zenon_Hd5 zenon_Hcc zenon_Hcb zenon_Hca zenon_Hf zenon_H48 zenon_H40 zenon_H46 zenon_H5f zenon_H62 zenon_H66 zenon_H6a. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.57 apply (zenon_L153_); trivial. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.57 apply (zenon_L1318_); trivial. % 1.44/1.57 apply (zenon_L101_); trivial. % 1.44/1.57 (* end of lemma zenon_L1319_ *) % 1.44/1.57 assert (zenon_L1320_ : ((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp16)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (c2_1 (a600)) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(hskp9)) -> False). % 1.44/1.57 do 0 intro. intros zenon_H67 zenon_H62 zenon_Hfb zenon_H6d zenon_H6c zenon_H6e zenon_H304 zenon_H305 zenon_H306 zenon_H287 zenon_H5f. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Hf. zenon_intro zenon_H68. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H39. zenon_intro zenon_H69. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H37. zenon_intro zenon_H38. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H36 | zenon_intro zenon_H65 ]. % 1.44/1.57 apply (zenon_L14_); trivial. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H10 | zenon_intro zenon_H60 ]. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H10a | zenon_intro zenon_H288 ]. % 1.44/1.57 apply (zenon_L1315_); trivial. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H1c5 | zenon_intro zenon_Hfc ]. % 1.44/1.57 apply (zenon_L308_); trivial. % 1.44/1.57 exact (zenon_Hfb zenon_Hfc). % 1.44/1.57 exact (zenon_H5f zenon_H60). % 1.44/1.57 (* end of lemma zenon_L1320_ *) % 1.44/1.57 assert (zenon_L1321_ : ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (c2_1 (a600)) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(hskp14)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> False). % 1.44/1.57 do 0 intro. intros zenon_H6a zenon_H62 zenon_H5f zenon_H304 zenon_H305 zenon_H306 zenon_H6d zenon_H6c zenon_H6e zenon_Hfb zenon_H287 zenon_Hf zenon_Hca zenon_Hcb zenon_Hcc zenon_Hd3 zenon_Hd5. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.44/1.57 apply (zenon_L53_); trivial. % 1.44/1.57 apply (zenon_L1320_); trivial. % 1.44/1.57 (* end of lemma zenon_L1321_ *) % 1.44/1.57 assert (zenon_L1322_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> (~(hskp14)) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (ndr1_0) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (c2_1 (a600)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.44/1.57 do 0 intro. intros zenon_H13b zenon_H1e0 zenon_H208 zenon_H17f zenon_H15a zenon_H1d2 zenon_Hd5 zenon_Hd3 zenon_Hcc zenon_Hcb zenon_Hca zenon_Hf zenon_H287 zenon_H6e zenon_H6c zenon_H6d zenon_H306 zenon_H305 zenon_H304 zenon_H5f zenon_H62 zenon_H6a. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.57 apply (zenon_L1321_); trivial. % 1.44/1.57 apply (zenon_L188_); trivial. % 1.44/1.57 (* end of lemma zenon_L1322_ *) % 1.44/1.57 assert (zenon_L1323_ : ((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp3)) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/((hskp3)\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> False). % 1.44/1.57 do 0 intro. intros zenon_H1bc zenon_H198 zenon_Hf9 zenon_Hb1 zenon_H6a zenon_H62 zenon_H5f zenon_H304 zenon_H305 zenon_H306 zenon_H287 zenon_Hca zenon_Hcb zenon_Hcc zenon_Hd5 zenon_H1d2 zenon_H15a zenon_H17f zenon_H208 zenon_H1e0 zenon_H13b. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.57 apply (zenon_L1322_); trivial. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H10a | zenon_intro zenon_H288 ]. % 1.44/1.57 apply (zenon_L1315_); trivial. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H1c5 | zenon_intro zenon_Hfc ]. % 1.44/1.57 apply (zenon_L359_); trivial. % 1.44/1.57 exact (zenon_Hfb zenon_Hfc). % 1.44/1.57 apply (zenon_L188_); trivial. % 1.44/1.57 (* end of lemma zenon_L1323_ *) % 1.44/1.57 assert (zenon_L1324_ : ((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> False). % 1.44/1.57 do 0 intro. intros zenon_H300 zenon_H229 zenon_H178 zenon_H177 zenon_H176 zenon_H306 zenon_H305 zenon_H304. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_Hf. zenon_intro zenon_H301. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H2f9. zenon_intro zenon_H302. % 1.44/1.57 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H2f7. zenon_intro zenon_H2f8. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H22a ]. % 1.44/1.57 apply (zenon_L116_); trivial. % 1.44/1.57 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H10a | zenon_intro zenon_He0 ]. % 1.44/1.57 apply (zenon_L1315_); trivial. % 1.44/1.57 apply (zenon_L945_); trivial. % 1.44/1.57 (* end of lemma zenon_L1324_ *) % 1.44/1.57 assert (zenon_L1325_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (ndr1_0) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> (~(hskp11)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> False). % 1.44/1.57 do 0 intro. intros zenon_H303 zenon_H229 zenon_H306 zenon_H305 zenon_H304 zenon_Hf zenon_H176 zenon_H177 zenon_H178 zenon_H2ab zenon_H15f zenon_H15e zenon_H160 zenon_H3 zenon_H2f5 zenon_H142 zenon_H1c8. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H300 ]. % 1.44/1.58 apply (zenon_L944_); trivial. % 1.44/1.58 apply (zenon_L1324_); trivial. % 1.44/1.58 (* end of lemma zenon_L1325_ *) % 1.44/1.58 assert (zenon_L1326_ : ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2)))))) -> (~(c1_1 (a603))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (ndr1_0) -> (forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))) -> (~(hskp1)) -> False). % 1.44/1.58 do 0 intro. intros zenon_Hf9 zenon_H1c5 zenon_He4 zenon_Hd8 zenon_Hd7 zenon_Hf zenon_He0 zenon_Hb1. % 1.44/1.58 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H9d | zenon_intro zenon_Hfa ]. % 1.44/1.58 apply (zenon_L194_); trivial. % 1.44/1.58 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_H6b | zenon_intro zenon_Hb2 ]. % 1.44/1.58 apply (zenon_L56_); trivial. % 1.44/1.58 exact (zenon_Hb1 zenon_Hb2). % 1.44/1.58 (* end of lemma zenon_L1326_ *) % 1.44/1.58 assert (zenon_L1327_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (~(hskp1)) -> (forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))) -> (ndr1_0) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> (~(c1_1 (a603))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp2)) -> False). % 1.44/1.58 do 0 intro. intros zenon_H1c8 zenon_H178 zenon_H177 zenon_H176 zenon_Hb1 zenon_He0 zenon_Hf zenon_Hd7 zenon_Hd8 zenon_He4 zenon_Hf9 zenon_H142. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1c9 ]. % 1.44/1.58 apply (zenon_L116_); trivial. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H143 ]. % 1.44/1.58 apply (zenon_L1326_); trivial. % 1.44/1.58 exact (zenon_H142 zenon_H143). % 1.44/1.58 (* end of lemma zenon_L1327_ *) % 1.44/1.58 assert (zenon_L1328_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp2)) -> False). % 1.44/1.58 do 0 intro. intros zenon_H194 zenon_H229 zenon_H306 zenon_H305 zenon_H304 zenon_H1c8 zenon_H178 zenon_H177 zenon_H176 zenon_Hb1 zenon_Hf9 zenon_H142. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H22a ]. % 1.44/1.58 apply (zenon_L116_); trivial. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H10a | zenon_intro zenon_He0 ]. % 1.44/1.58 apply (zenon_L1315_); trivial. % 1.44/1.58 apply (zenon_L1327_); trivial. % 1.44/1.58 (* end of lemma zenon_L1328_ *) % 1.44/1.58 assert (zenon_L1329_ : ((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> (~(hskp8)) -> (~(hskp6)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp8)\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((hskp10)\/(hskp7))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H19c zenon_H209 zenon_H19b zenon_H198 zenon_Hf9 zenon_Hb1 zenon_Hd5 zenon_H40 zenon_H42 zenon_H44 zenon_H6a zenon_H1c8 zenon_H142 zenon_H2f5 zenon_H2ab zenon_H229 zenon_H303 zenon_H304 zenon_H305 zenon_H306 zenon_H8 zenon_H30d. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.44/1.58 apply (zenon_L1316_); trivial. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.58 apply (zenon_L1325_); trivial. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.58 apply (zenon_L54_); trivial. % 1.44/1.58 apply (zenon_L1328_); trivial. % 1.44/1.58 (* end of lemma zenon_L1329_ *) % 1.44/1.58 assert (zenon_L1330_ : ((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((hskp10)\/(hskp7))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H19c zenon_H209 zenon_H19b zenon_H198 zenon_Hf9 zenon_Hb1 zenon_H192 zenon_H186 zenon_H185 zenon_H184 zenon_H144 zenon_H1c8 zenon_H142 zenon_H2f5 zenon_H2ab zenon_H229 zenon_H303 zenon_H304 zenon_H305 zenon_H306 zenon_H8 zenon_H30d. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.44/1.58 apply (zenon_L1316_); trivial. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.58 apply (zenon_L1325_); trivial. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.58 apply (zenon_L124_); trivial. % 1.44/1.58 apply (zenon_L1328_); trivial. % 1.44/1.58 (* end of lemma zenon_L1330_ *) % 1.44/1.58 assert (zenon_L1331_ : ((ndr1_0)/\((c1_1 (a593))/\((c3_1 (a593))/\(~(c2_1 (a593)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((hskp10)\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((hskp26)\/(hskp11)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp2)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> (~(hskp3)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp3))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H19f zenon_H1a0 zenon_Hf9 zenon_Hb1 zenon_H1c8 zenon_H2f5 zenon_H2ab zenon_H229 zenon_H303 zenon_H30d zenon_H8 zenon_H306 zenon_H305 zenon_H304 zenon_H6a zenon_H66 zenon_H62 zenon_H5 zenon_H31 zenon_H144 zenon_H142 zenon_H192 zenon_H18d zenon_H15a zenon_H15c zenon_H8e zenon_H198 zenon_H19b zenon_H209. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.44/1.58 apply (zenon_L1316_); trivial. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.58 apply (zenon_L106_); trivial. % 1.44/1.58 apply (zenon_L126_); trivial. % 1.44/1.58 apply (zenon_L1330_); trivial. % 1.44/1.58 (* end of lemma zenon_L1331_ *) % 1.44/1.58 assert (zenon_L1332_ : ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (ndr1_0) -> (forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))) -> (~(hskp28)) -> False). % 1.44/1.58 do 0 intro. intros zenon_H1ba zenon_H114 zenon_H10c zenon_H10b zenon_Hd8 zenon_Hd7 zenon_Hf zenon_He0 zenon_Had. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_Heb | zenon_intro zenon_H1bb ]. % 1.44/1.58 apply (zenon_L136_); trivial. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H6b | zenon_intro zenon_Hae ]. % 1.44/1.58 apply (zenon_L56_); trivial. % 1.44/1.58 exact (zenon_Had zenon_Hae). % 1.44/1.58 (* end of lemma zenon_L1332_ *) % 1.44/1.58 assert (zenon_L1333_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(hskp12)) -> (c0_1 (a583)) -> (c1_1 (a583)) -> (c2_1 (a583)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.44/1.58 do 0 intro. intros zenon_H229 zenon_H46 zenon_H11 zenon_H12 zenon_H13 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H174 zenon_H306 zenon_H305 zenon_H304 zenon_H1ba zenon_H114 zenon_H10c zenon_H10b zenon_Hd8 zenon_Hd7 zenon_Hf zenon_Had. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H22a ]. % 1.44/1.58 apply (zenon_L132_); trivial. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H10a | zenon_intro zenon_He0 ]. % 1.44/1.58 apply (zenon_L1315_); trivial. % 1.44/1.58 apply (zenon_L1332_); trivial. % 1.44/1.58 (* end of lemma zenon_L1333_ *) % 1.44/1.58 assert (zenon_L1334_ : ((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H61 zenon_Hc0 zenon_H1c zenon_H1a zenon_H174 zenon_H46 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H304 zenon_H305 zenon_H306 zenon_H1ba zenon_Hd8 zenon_Hd7 zenon_H114 zenon_H10c zenon_H10b zenon_H229. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_Hf. zenon_intro zenon_H63. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H11. zenon_intro zenon_H64. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.44/1.58 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.44/1.58 apply (zenon_L1333_); trivial. % 1.44/1.58 apply (zenon_L48_); trivial. % 1.44/1.58 (* end of lemma zenon_L1334_ *) % 1.44/1.58 assert (zenon_L1335_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (ndr1_0) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(hskp12)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H198 zenon_H12c zenon_Hc0 zenon_H1c zenon_H1a zenon_H174 zenon_H304 zenon_H305 zenon_H306 zenon_H1ba zenon_H229 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H1b5 zenon_Hd5 zenon_Hcc zenon_Hcb zenon_Hca zenon_Hf zenon_H48 zenon_H40 zenon_H46 zenon_H5f zenon_H62 zenon_H66 zenon_H6a. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.58 apply (zenon_L153_); trivial. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.44/1.58 apply (zenon_L135_); trivial. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.44/1.58 apply (zenon_L19_); trivial. % 1.44/1.58 apply (zenon_L1334_); trivial. % 1.44/1.58 (* end of lemma zenon_L1335_ *) % 1.44/1.58 assert (zenon_L1336_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(hskp16)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (c2_1 (a600)) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (ndr1_0) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> False). % 1.44/1.58 do 0 intro. intros zenon_Hc0 zenon_H287 zenon_Hfb zenon_H6d zenon_H6c zenon_H6e zenon_H1a zenon_H1c zenon_H306 zenon_H305 zenon_H304 zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_Hf zenon_H142 zenon_H1c8. % 1.44/1.58 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.44/1.58 apply (zenon_L146_); trivial. % 1.44/1.58 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.44/1.58 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.44/1.58 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H10a | zenon_intro zenon_H288 ]. % 1.44/1.58 apply (zenon_L1315_); trivial. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H1c5 | zenon_intro zenon_Hfc ]. % 1.44/1.58 apply (zenon_L309_); trivial. % 1.44/1.58 exact (zenon_Hfb zenon_Hfc). % 1.44/1.58 (* end of lemma zenon_L1336_ *) % 1.44/1.58 assert (zenon_L1337_ : ((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> (~(hskp9)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H1bc zenon_H13b zenon_H1e0 zenon_H208 zenon_H17f zenon_H15a zenon_H5f zenon_H1d2 zenon_H1c8 zenon_H142 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H1c3 zenon_H304 zenon_H305 zenon_H306 zenon_H1c zenon_H1a zenon_H287 zenon_Hc0. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.58 apply (zenon_L1336_); trivial. % 1.44/1.58 apply (zenon_L188_); trivial. % 1.44/1.58 (* end of lemma zenon_L1337_ *) % 1.44/1.58 assert (zenon_L1338_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/((hskp3)\/(hskp4))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp8)) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> ((hskp26)\/(hskp11)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H19b zenon_H13b zenon_H1e0 zenon_H208 zenon_H1d2 zenon_H1c8 zenon_H142 zenon_H1c3 zenon_H287 zenon_H6a zenon_H62 zenon_H5f zenon_Hd5 zenon_H229 zenon_H306 zenon_H305 zenon_H304 zenon_H198 zenon_H66 zenon_H181 zenon_H17f zenon_H15a zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H174 zenon_H40 zenon_H48 zenon_H1b5 zenon_H5 zenon_H1ba zenon_H1a zenon_H1c zenon_Hc0 zenon_H12c zenon_H1bf. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.58 apply (zenon_L141_); trivial. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.44/1.58 apply (zenon_L1335_); trivial. % 1.44/1.58 apply (zenon_L1337_); trivial. % 1.44/1.58 (* end of lemma zenon_L1338_ *) % 1.44/1.58 assert (zenon_L1339_ : ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp17)) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp5)) -> (~(hskp6)) -> False). % 1.44/1.58 do 0 intro. intros zenon_H128 zenon_Ha zenon_Hf zenon_Hca zenon_Hcb zenon_H304 zenon_H305 zenon_H306 zenon_H123 zenon_H125 zenon_H42. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H119 | zenon_intro zenon_H12b ]. % 1.44/1.58 apply (zenon_L1317_); trivial. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H126 | zenon_intro zenon_H43 ]. % 1.44/1.58 exact (zenon_H125 zenon_H126). % 1.44/1.58 exact (zenon_H42 zenon_H43). % 1.44/1.58 (* end of lemma zenon_L1339_ *) % 1.44/1.58 assert (zenon_L1340_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp8)\/(hskp6))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(hskp12)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (ndr1_0) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H8e zenon_H6a zenon_H44 zenon_H48 zenon_H40 zenon_H46 zenon_H54 zenon_H5f zenon_H62 zenon_H66 zenon_H123 zenon_Hcb zenon_Hca zenon_H306 zenon_H305 zenon_H304 zenon_Hf zenon_H125 zenon_H42 zenon_H128. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.58 apply (zenon_L1339_); trivial. % 1.44/1.58 apply (zenon_L383_); trivial. % 1.44/1.58 (* end of lemma zenon_L1340_ *) % 1.44/1.58 assert (zenon_L1341_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> False). % 1.44/1.58 do 0 intro. intros zenon_Hc6 zenon_H8e zenon_Hc1 zenon_Hb1 zenon_H1eb zenon_Hcc zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H123 zenon_Hcb zenon_Hca zenon_H306 zenon_H305 zenon_H304 zenon_H125 zenon_H42 zenon_H128. % 1.44/1.58 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.44/1.58 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.44/1.58 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.58 apply (zenon_L1339_); trivial. % 1.44/1.58 apply (zenon_L445_); trivial. % 1.44/1.58 (* end of lemma zenon_L1341_ *) % 1.44/1.58 assert (zenon_L1342_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp8)) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp8)\/(hskp6))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((hskp26)\/(hskp11)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H1bf zenon_H1e1 zenon_Hc1 zenon_Hb1 zenon_H1eb zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H77 zenon_H85 zenon_H8a zenon_H128 zenon_H42 zenon_H125 zenon_H304 zenon_H305 zenon_H306 zenon_H123 zenon_H54 zenon_H40 zenon_H48 zenon_H44 zenon_H8e zenon_H31 zenon_H5 zenon_H5f zenon_H62 zenon_H66 zenon_H6a. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.58 apply (zenon_L106_); trivial. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.44/1.58 apply (zenon_L1340_); trivial. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.58 apply (zenon_L115_); trivial. % 1.44/1.58 apply (zenon_L1341_); trivial. % 1.44/1.58 (* end of lemma zenon_L1342_ *) % 1.44/1.58 assert (zenon_L1343_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(hskp15)) -> (~(hskp29)) -> (ndr1_0) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(hskp16)) -> False). % 1.44/1.58 do 0 intro. intros zenon_H287 zenon_H306 zenon_H305 zenon_H304 zenon_H83 zenon_H6 zenon_Hf zenon_H1a5 zenon_H1ac zenon_H1e7 zenon_Hfb. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H10a | zenon_intro zenon_H288 ]. % 1.44/1.58 apply (zenon_L1315_); trivial. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H1c5 | zenon_intro zenon_Hfc ]. % 1.44/1.58 apply (zenon_L171_); trivial. % 1.44/1.58 exact (zenon_Hfb zenon_Hfc). % 1.44/1.58 (* end of lemma zenon_L1343_ *) % 1.44/1.58 assert (zenon_L1344_ : ((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp16)) -> False). % 1.44/1.58 do 0 intro. intros zenon_H32 zenon_H287 zenon_H306 zenon_H305 zenon_H304 zenon_H4b zenon_H4c zenon_H4d zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H1eb zenon_Hfb. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hf. zenon_intro zenon_H33. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H1f. zenon_intro zenon_H34. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H10a | zenon_intro zenon_H288 ]. % 1.44/1.58 apply (zenon_L1315_); trivial. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H1c5 | zenon_intro zenon_Hfc ]. % 1.44/1.58 apply (zenon_L176_); trivial. % 1.44/1.58 exact (zenon_Hfb zenon_Hfc). % 1.44/1.58 (* end of lemma zenon_L1344_ *) % 1.44/1.58 assert (zenon_L1345_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a592))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H8b zenon_H30 zenon_H1a3 zenon_H1eb zenon_H304 zenon_H305 zenon_H306 zenon_H1e7 zenon_H83 zenon_H1ac zenon_H1a5 zenon_Hfb zenon_H287. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.44/1.58 apply (zenon_L1343_); trivial. % 1.44/1.58 apply (zenon_L1344_); trivial. % 1.44/1.58 (* end of lemma zenon_L1345_ *) % 1.44/1.58 assert (zenon_L1346_ : ((ndr1_0)/\((c1_1 (a593))/\((c3_1 (a593))/\(~(c2_1 (a593)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp3)\/(hskp4))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp3))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> (~(hskp3)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((hskp26)\/(hskp11)) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/((hskp3)\/(hskp4))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H19f zenon_H1a0 zenon_H181 zenon_H19b zenon_H198 zenon_H15c zenon_Hd5 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H1c3 zenon_H1e5 zenon_H17f zenon_Hc0 zenon_H18d zenon_H15a zenon_H66 zenon_H62 zenon_H54 zenon_H5 zenon_H6a zenon_H8e zenon_H13b zenon_H1e0 zenon_H208 zenon_H1d2 zenon_H287 zenon_H1e7 zenon_H306 zenon_H305 zenon_H304 zenon_H1eb zenon_H30 zenon_H207 zenon_H203 zenon_H125 zenon_H1f6 zenon_Hb1 zenon_Hc1 zenon_H1e1 zenon_H209. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.44/1.58 apply (zenon_L169_); trivial. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.58 apply (zenon_L120_); trivial. % 1.44/1.58 apply (zenon_L1345_); trivial. % 1.44/1.58 apply (zenon_L188_); trivial. % 1.44/1.58 apply (zenon_L189_); trivial. % 1.44/1.58 apply (zenon_L128_); trivial. % 1.44/1.58 (* end of lemma zenon_L1346_ *) % 1.44/1.58 assert (zenon_L1347_ : ((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp17)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H87 zenon_H24f zenon_Ha zenon_Hca zenon_Hcb zenon_H304 zenon_H305 zenon_H306 zenon_H123 zenon_H237 zenon_H22c zenon_H22b. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.44/1.58 apply (zenon_L1317_); trivial. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.44/1.58 apply (zenon_L226_); trivial. % 1.44/1.58 apply (zenon_L31_); trivial. % 1.44/1.58 (* end of lemma zenon_L1347_ *) % 1.44/1.58 assert (zenon_L1348_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (ndr1_0) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> (~(hskp8)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H304 zenon_H305 zenon_H306 zenon_Hca zenon_Hcb zenon_Ha zenon_H123 zenon_Hf zenon_H6c zenon_H6d zenon_H6e zenon_H40 zenon_H77. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.44/1.58 apply (zenon_L30_); trivial. % 1.44/1.58 apply (zenon_L1347_); trivial. % 1.44/1.58 (* end of lemma zenon_L1348_ *) % 1.44/1.58 assert (zenon_L1349_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H194 zenon_H8e zenon_H15c zenon_H15a zenon_H77 zenon_H40 zenon_H6e zenon_H6d zenon_H6c zenon_H123 zenon_Hcb zenon_Hca zenon_H306 zenon_H305 zenon_H304 zenon_H22b zenon_H22c zenon_H237 zenon_H24f zenon_H8a. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.58 apply (zenon_L1348_); trivial. % 1.44/1.58 apply (zenon_L101_); trivial. % 1.44/1.58 (* end of lemma zenon_L1349_ *) % 1.44/1.58 assert (zenon_L1350_ : ((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp3))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp3)) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/((hskp3)\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H1bc zenon_H198 zenon_H8e zenon_H15c zenon_H77 zenon_H40 zenon_H123 zenon_H22b zenon_H22c zenon_H237 zenon_H24f zenon_H8a zenon_H6a zenon_H62 zenon_H5f zenon_H304 zenon_H305 zenon_H306 zenon_H287 zenon_Hca zenon_Hcb zenon_Hcc zenon_Hd5 zenon_H1d2 zenon_H15a zenon_H17f zenon_H208 zenon_H1e0 zenon_H13b. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.58 apply (zenon_L1322_); trivial. % 1.44/1.58 apply (zenon_L1349_); trivial. % 1.44/1.58 (* end of lemma zenon_L1350_ *) % 1.44/1.58 assert (zenon_L1351_ : ((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((hskp10)\/(hskp7))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H19c zenon_H209 zenon_H19b zenon_H22b zenon_H22c zenon_H237 zenon_H104 zenon_H1c8 zenon_H142 zenon_H2f5 zenon_H2ab zenon_H229 zenon_H303 zenon_H304 zenon_H305 zenon_H306 zenon_H8 zenon_H30d. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.44/1.58 apply (zenon_L1316_); trivial. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.58 apply (zenon_L1325_); trivial. % 1.44/1.58 apply (zenon_L243_); trivial. % 1.44/1.58 (* end of lemma zenon_L1351_ *) % 1.44/1.58 assert (zenon_L1352_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H197 zenon_H8e zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H123 zenon_H306 zenon_H305 zenon_H304 zenon_H142 zenon_H8 zenon_H144. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.58 apply (zenon_L1318_); trivial. % 1.44/1.58 apply (zenon_L274_); trivial. % 1.44/1.58 (* end of lemma zenon_L1352_ *) % 1.44/1.58 assert (zenon_L1353_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((hskp26)\/(hskp11)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> (ndr1_0) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((hskp10)\/(hskp7))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H209 zenon_H19b zenon_H8e zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H123 zenon_H142 zenon_H144 zenon_H31 zenon_H5 zenon_H5f zenon_H62 zenon_H66 zenon_H6a zenon_Hf zenon_H304 zenon_H305 zenon_H306 zenon_H8 zenon_H30d. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.44/1.58 apply (zenon_L1316_); trivial. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.58 apply (zenon_L106_); trivial. % 1.44/1.58 apply (zenon_L1352_); trivial. % 1.44/1.58 (* end of lemma zenon_L1353_ *) % 1.44/1.58 assert (zenon_L1354_ : ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((hskp10)\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (ndr1_0) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((hskp26)\/(hskp11)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H1a0 zenon_H181 zenon_H17f zenon_H15a zenon_H30d zenon_H8 zenon_H306 zenon_H305 zenon_H304 zenon_Hf zenon_H6a zenon_H66 zenon_H62 zenon_H5 zenon_H31 zenon_H144 zenon_H142 zenon_H123 zenon_H274 zenon_H278 zenon_H277 zenon_H276 zenon_H8e zenon_H19b zenon_H209. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.44/1.58 apply (zenon_L1353_); trivial. % 1.44/1.58 apply (zenon_L128_); trivial. % 1.44/1.58 (* end of lemma zenon_L1354_ *) % 1.44/1.58 assert (zenon_L1355_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (ndr1_0) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(hskp11)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H303 zenon_H229 zenon_H306 zenon_H305 zenon_H304 zenon_H178 zenon_H177 zenon_H176 zenon_Hf zenon_H297 zenon_H298 zenon_H299 zenon_H3 zenon_H2f5. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H300 ]. % 1.44/1.58 apply (zenon_L968_); trivial. % 1.44/1.58 apply (zenon_L1324_); trivial. % 1.44/1.58 (* end of lemma zenon_L1355_ *) % 1.44/1.58 assert (zenon_L1356_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (~(hskp1)) -> False). % 1.44/1.58 do 0 intro. intros zenon_H194 zenon_H229 zenon_H178 zenon_H177 zenon_H176 zenon_H306 zenon_H305 zenon_H304 zenon_Hf9 zenon_H299 zenon_H298 zenon_H297 zenon_Hb1. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H22a ]. % 1.44/1.58 apply (zenon_L116_); trivial. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H10a | zenon_intro zenon_He0 ]. % 1.44/1.58 apply (zenon_L1315_); trivial. % 1.44/1.58 apply (zenon_L351_); trivial. % 1.44/1.58 (* end of lemma zenon_L1356_ *) % 1.44/1.58 assert (zenon_L1357_ : ((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> (~(hskp8)) -> (~(hskp6)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp8)\/(hskp6))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H19c zenon_H19b zenon_H198 zenon_Hb1 zenon_Hf9 zenon_Hd5 zenon_H40 zenon_H42 zenon_H44 zenon_H6a zenon_H2f5 zenon_H299 zenon_H298 zenon_H297 zenon_H304 zenon_H305 zenon_H306 zenon_H229 zenon_H303. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.58 apply (zenon_L1355_); trivial. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.58 apply (zenon_L54_); trivial. % 1.44/1.58 apply (zenon_L1356_); trivial. % 1.44/1.58 (* end of lemma zenon_L1357_ *) % 1.44/1.58 assert (zenon_L1358_ : ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((hskp10)\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (ndr1_0) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((hskp26)\/(hskp11)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp8)\/(hskp6))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H1a0 zenon_H198 zenon_Hb1 zenon_Hf9 zenon_Hd5 zenon_H2f5 zenon_H229 zenon_H303 zenon_H30d zenon_H8 zenon_H306 zenon_H305 zenon_H304 zenon_Hf zenon_H6a zenon_H66 zenon_H62 zenon_H5 zenon_H31 zenon_H8e zenon_H44 zenon_H48 zenon_H40 zenon_H54 zenon_H123 zenon_H125 zenon_H42 zenon_H128 zenon_H222 zenon_H299 zenon_H298 zenon_H297 zenon_H155 zenon_H159 zenon_H1bf zenon_H19b zenon_H209. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.44/1.58 apply (zenon_L1316_); trivial. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.58 apply (zenon_L106_); trivial. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.44/1.58 apply (zenon_L1340_); trivial. % 1.44/1.58 apply (zenon_L337_); trivial. % 1.44/1.58 apply (zenon_L1357_); trivial. % 1.44/1.58 (* end of lemma zenon_L1358_ *) % 1.44/1.58 assert (zenon_L1359_ : ((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(hskp12)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(c2_1 (a629))) -> (~(c3_1 (a629))) -> (c0_1 (a629)) -> False). % 1.44/1.58 do 0 intro. intros zenon_H61 zenon_H229 zenon_H46 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H174 zenon_H306 zenon_H305 zenon_H304 zenon_H2f7 zenon_H2f8 zenon_H2f9. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_Hf. zenon_intro zenon_H63. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H11. zenon_intro zenon_H64. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H22a ]. % 1.44/1.58 apply (zenon_L132_); trivial. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H10a | zenon_intro zenon_He0 ]. % 1.44/1.58 apply (zenon_L1315_); trivial. % 1.44/1.58 apply (zenon_L945_); trivial. % 1.44/1.58 (* end of lemma zenon_L1359_ *) % 1.44/1.58 assert (zenon_L1360_ : ((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp11)) -> ((hskp26)\/(hskp11)) -> False). % 1.44/1.58 do 0 intro. intros zenon_H300 zenon_H66 zenon_H229 zenon_H306 zenon_H305 zenon_H304 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H46 zenon_H174 zenon_H3 zenon_H5. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_Hf. zenon_intro zenon_H301. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H2f9. zenon_intro zenon_H302. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H2f7. zenon_intro zenon_H2f8. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.44/1.58 apply (zenon_L3_); trivial. % 1.44/1.58 apply (zenon_L1359_); trivial. % 1.44/1.58 (* end of lemma zenon_L1360_ *) % 1.44/1.58 assert (zenon_L1361_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (ndr1_0) -> ((hskp26)\/(hskp11)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H1bf zenon_Hf9 zenon_Hb1 zenon_H2f5 zenon_H3 zenon_H299 zenon_H298 zenon_H297 zenon_Hf zenon_H5 zenon_H174 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H304 zenon_H305 zenon_H306 zenon_H229 zenon_H66 zenon_H303. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H300 ]. % 1.44/1.58 apply (zenon_L968_); trivial. % 1.44/1.58 apply (zenon_L1360_); trivial. % 1.44/1.58 apply (zenon_L322_); trivial. % 1.44/1.58 (* end of lemma zenon_L1361_ *) % 1.44/1.58 assert (zenon_L1362_ : ((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(hskp12)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c1_1 (a633)) -> (~(c3_1 (a633))) -> (~(c0_1 (a633))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> False). % 1.44/1.58 do 0 intro. intros zenon_H61 zenon_H229 zenon_H46 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H174 zenon_H306 zenon_H305 zenon_H304 zenon_H155 zenon_H14d zenon_H14c zenon_H14b zenon_Hcc zenon_Hcb zenon_Hca zenon_Hd7 zenon_Hd8. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_Hf. zenon_intro zenon_H63. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H11. zenon_intro zenon_H64. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H22a ]. % 1.44/1.58 apply (zenon_L132_); trivial. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H10a | zenon_intro zenon_He0 ]. % 1.44/1.58 apply (zenon_L1315_); trivial. % 1.44/1.58 apply (zenon_L209_); trivial. % 1.44/1.58 (* end of lemma zenon_L1362_ *) % 1.44/1.58 assert (zenon_L1363_ : ((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (~(hskp8)) -> ((hskp26)\/((hskp12)\/(hskp8))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H154 zenon_H66 zenon_H229 zenon_Hca zenon_Hcb zenon_Hcc zenon_Hd7 zenon_Hd8 zenon_H155 zenon_H306 zenon_H305 zenon_H304 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H174 zenon_H46 zenon_H40 zenon_H48. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_Hf. zenon_intro zenon_H156. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14d. zenon_intro zenon_H157. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.44/1.58 apply (zenon_L19_); trivial. % 1.44/1.58 apply (zenon_L1362_); trivial. % 1.44/1.58 (* end of lemma zenon_L1363_ *) % 1.44/1.58 assert (zenon_L1364_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H197 zenon_H1bf zenon_H6a zenon_H66 zenon_H62 zenon_H5f zenon_H40 zenon_H48 zenon_Hd5 zenon_H222 zenon_H42 zenon_H299 zenon_H298 zenon_H297 zenon_H174 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H304 zenon_H305 zenon_H306 zenon_H155 zenon_H229 zenon_H159 zenon_H198. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.58 apply (zenon_L153_); trivial. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H146 | zenon_intro zenon_H154 ]. % 1.44/1.58 apply (zenon_L324_); trivial. % 1.44/1.58 apply (zenon_L1363_); trivial. % 1.44/1.58 apply (zenon_L337_); trivial. % 1.44/1.58 (* end of lemma zenon_L1364_ *) % 1.44/1.58 assert (zenon_L1365_ : ((ndr1_0)/\((c2_1 (a592))/\((~(c0_1 (a592)))/\(~(c3_1 (a592)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a593))/\((c3_1 (a593))/\(~(c2_1 (a593))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((hskp26)\/(hskp11)) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((hskp8)\/(hskp6))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595))))))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H2e5 zenon_H2e6 zenon_H8e zenon_H15c zenon_H15a zenon_H18d zenon_H2ad zenon_H19b zenon_H6a zenon_H62 zenon_H48 zenon_Hd5 zenon_H222 zenon_H42 zenon_H155 zenon_H159 zenon_H198 zenon_H303 zenon_H66 zenon_H229 zenon_H306 zenon_H305 zenon_H304 zenon_H174 zenon_H5 zenon_H297 zenon_H298 zenon_H299 zenon_H2f5 zenon_Hb1 zenon_Hf9 zenon_H1bf zenon_H44 zenon_H1a0. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.58 apply (zenon_L1361_); trivial. % 1.44/1.58 apply (zenon_L1364_); trivial. % 1.44/1.58 apply (zenon_L1357_); trivial. % 1.44/1.58 apply (zenon_L363_); trivial. % 1.44/1.58 (* end of lemma zenon_L1365_ *) % 1.44/1.58 assert (zenon_L1366_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H137 zenon_H8e zenon_H274 zenon_Hcc zenon_H22b zenon_H22c zenon_H237 zenon_H104 zenon_H123 zenon_Hcb zenon_Hca zenon_H306 zenon_H305 zenon_H304 zenon_H142 zenon_H8 zenon_H144. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.58 apply (zenon_L1318_); trivial. % 1.44/1.58 apply (zenon_L459_); trivial. % 1.44/1.58 (* end of lemma zenon_L1366_ *) % 1.44/1.58 assert (zenon_L1367_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H194 zenon_H13b zenon_H8e zenon_H274 zenon_Hcc zenon_H104 zenon_H123 zenon_Hcb zenon_Hca zenon_H306 zenon_H305 zenon_H304 zenon_H142 zenon_H8 zenon_H144 zenon_H22b zenon_H22c zenon_H237 zenon_Hf9 zenon_Hb1 zenon_H299 zenon_H298 zenon_H297 zenon_H107. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.58 apply (zenon_L365_); trivial. % 1.44/1.58 apply (zenon_L1366_); trivial. % 1.44/1.58 (* end of lemma zenon_L1367_ *) % 1.44/1.58 assert (zenon_L1368_ : ((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H19c zenon_H19b zenon_H1c8 zenon_H142 zenon_H22b zenon_H22c zenon_H237 zenon_H104 zenon_H2f5 zenon_H299 zenon_H298 zenon_H297 zenon_H304 zenon_H305 zenon_H306 zenon_H229 zenon_H303. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.58 apply (zenon_L1355_); trivial. % 1.44/1.58 apply (zenon_L243_); trivial. % 1.44/1.58 (* end of lemma zenon_L1368_ *) % 1.44/1.58 assert (zenon_L1369_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a593))/\((c3_1 (a593))/\(~(c2_1 (a593))))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((hskp26)\/(hskp11)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> (ndr1_0) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((hskp10)\/(hskp7))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595))))))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H2e6 zenon_H192 zenon_H209 zenon_H19b zenon_H1bf zenon_H48 zenon_Hd5 zenon_H107 zenon_H297 zenon_H298 zenon_H299 zenon_Hb1 zenon_Hf9 zenon_H237 zenon_H22c zenon_H22b zenon_H144 zenon_H142 zenon_H123 zenon_H104 zenon_H274 zenon_H8e zenon_H13b zenon_H198 zenon_H31 zenon_H5 zenon_H62 zenon_H66 zenon_H6a zenon_Hf zenon_H304 zenon_H305 zenon_H306 zenon_H8 zenon_H30d zenon_H303 zenon_H229 zenon_H2f5 zenon_H1c8 zenon_H1a0. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.44/1.58 apply (zenon_L1316_); trivial. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.58 apply (zenon_L106_); trivial. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.58 apply (zenon_L153_); trivial. % 1.44/1.58 apply (zenon_L1367_); trivial. % 1.44/1.58 apply (zenon_L322_); trivial. % 1.44/1.58 apply (zenon_L1368_); trivial. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.44/1.58 apply (zenon_L1316_); trivial. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.58 apply (zenon_L106_); trivial. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.58 apply (zenon_L124_); trivial. % 1.44/1.58 apply (zenon_L1367_); trivial. % 1.44/1.58 apply (zenon_L1368_); trivial. % 1.44/1.58 (* end of lemma zenon_L1369_ *) % 1.44/1.58 assert (zenon_L1370_ : ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((hskp10)\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (ndr1_0) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((hskp26)\/(hskp11)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H1a0 zenon_H2f5 zenon_H299 zenon_H298 zenon_H297 zenon_H229 zenon_H303 zenon_H30d zenon_H8 zenon_H306 zenon_H305 zenon_H304 zenon_Hf zenon_H6a zenon_H66 zenon_H62 zenon_H5 zenon_H31 zenon_H144 zenon_H142 zenon_H123 zenon_H274 zenon_H278 zenon_H277 zenon_H276 zenon_H8e zenon_H19b zenon_H209. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.44/1.58 apply (zenon_L1353_); trivial. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.58 apply (zenon_L1355_); trivial. % 1.44/1.58 apply (zenon_L1352_); trivial. % 1.44/1.58 (* end of lemma zenon_L1370_ *) % 1.44/1.58 assert (zenon_L1371_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H127 zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H304 zenon_H305 zenon_H306 zenon_Hca zenon_Hcb zenon_Ha zenon_H123 zenon_H276 zenon_H277 zenon_H278 zenon_H285. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.44/1.58 apply (zenon_L278_); trivial. % 1.44/1.58 apply (zenon_L1347_); trivial. % 1.44/1.58 (* end of lemma zenon_L1371_ *) % 1.44/1.58 assert (zenon_L1372_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (ndr1_0) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H12c zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H304 zenon_H305 zenon_H306 zenon_Hca zenon_Hcb zenon_Ha zenon_H123 zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_Hf zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H40 zenon_H1b5. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.44/1.58 apply (zenon_L135_); trivial. % 1.44/1.58 apply (zenon_L1371_); trivial. % 1.44/1.58 (* end of lemma zenon_L1372_ *) % 1.44/1.58 assert (zenon_L1373_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(hskp26)) -> (ndr1_0) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (~(hskp16)) -> False). % 1.44/1.58 do 0 intro. intros zenon_H287 zenon_H306 zenon_H305 zenon_H304 zenon_H1 zenon_Hf zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_He4 zenon_Hd7 zenon_H140 zenon_Hfb. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H10a | zenon_intro zenon_H288 ]. % 1.44/1.58 apply (zenon_L1315_); trivial. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H1c5 | zenon_intro zenon_Hfc ]. % 1.44/1.58 apply (zenon_L419_); trivial. % 1.44/1.58 exact (zenon_Hfb zenon_Hfc). % 1.44/1.58 (* end of lemma zenon_L1373_ *) % 1.44/1.58 assert (zenon_L1374_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (ndr1_0) -> (forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12))))) -> (~(hskp16)) -> False). % 1.44/1.58 do 0 intro. intros zenon_H287 zenon_H306 zenon_H305 zenon_H304 zenon_Hd7 zenon_He4 zenon_Hf zenon_H13d zenon_Hfb. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H10a | zenon_intro zenon_H288 ]. % 1.44/1.58 apply (zenon_L1315_); trivial. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H1c5 | zenon_intro zenon_Hfc ]. % 1.44/1.58 apply (zenon_L418_); trivial. % 1.44/1.58 exact (zenon_Hfb zenon_Hfc). % 1.44/1.58 (* end of lemma zenon_L1374_ *) % 1.44/1.58 assert (zenon_L1375_ : ((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(hskp16)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H67 zenon_H66 zenon_H62 zenon_H5f zenon_H287 zenon_Hfb zenon_Hd7 zenon_He4 zenon_H306 zenon_H305 zenon_H304 zenon_H265. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Hf. zenon_intro zenon_H68. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H39. zenon_intro zenon_H69. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H37. zenon_intro zenon_H38. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H36 | zenon_intro zenon_H266 ]. % 1.44/1.58 apply (zenon_L14_); trivial. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H13d | zenon_intro zenon_H2 ]. % 1.44/1.58 apply (zenon_L1374_); trivial. % 1.44/1.58 exact (zenon_H1 zenon_H2). % 1.44/1.58 apply (zenon_L25_); trivial. % 1.44/1.58 (* end of lemma zenon_L1375_ *) % 1.44/1.58 assert (zenon_L1376_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H8b zenon_H6a zenon_H265 zenon_H287 zenon_Hfb zenon_He4 zenon_Hd7 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H306 zenon_H305 zenon_H304 zenon_H54 zenon_H5f zenon_H62 zenon_H66. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.44/1.58 apply (zenon_L1373_); trivial. % 1.44/1.58 apply (zenon_L23_); trivial. % 1.44/1.58 apply (zenon_L1375_); trivial. % 1.44/1.58 (* end of lemma zenon_L1376_ *) % 1.44/1.58 assert (zenon_L1377_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (ndr1_0) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H8e zenon_H6a zenon_H265 zenon_H287 zenon_Hfb zenon_He4 zenon_Hd7 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H54 zenon_H5f zenon_H62 zenon_H66 zenon_H123 zenon_Hcb zenon_Hca zenon_H306 zenon_H305 zenon_H304 zenon_Hf zenon_H125 zenon_H42 zenon_H128. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.58 apply (zenon_L1339_); trivial. % 1.44/1.58 apply (zenon_L1376_); trivial. % 1.44/1.58 (* end of lemma zenon_L1377_ *) % 1.44/1.58 assert (zenon_L1378_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c3_1 (a599)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H194 zenon_H13b zenon_H155 zenon_Hcc zenon_H274 zenon_H160 zenon_H15e zenon_H15f zenon_H6c zenon_H6d zenon_H6e zenon_Hb1 zenon_Hf9 zenon_H142 zenon_H8 zenon_H144 zenon_H128 zenon_H42 zenon_H125 zenon_H304 zenon_H305 zenon_H306 zenon_Hca zenon_Hcb zenon_H123 zenon_H66 zenon_H62 zenon_H5f zenon_H54 zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H287 zenon_H265 zenon_H6a zenon_H8e. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.58 apply (zenon_L1377_); trivial. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.58 apply (zenon_L1318_); trivial. % 1.44/1.58 apply (zenon_L257_); trivial. % 1.44/1.58 (* end of lemma zenon_L1378_ *) % 1.44/1.58 assert (zenon_L1379_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (ndr1_0) -> (~(hskp17)) -> False). % 1.44/1.58 do 0 intro. intros zenon_H123 zenon_H306 zenon_H305 zenon_H304 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Hf zenon_Ha. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H123); [ zenon_intro zenon_H10a | zenon_intro zenon_H124 ]. % 1.44/1.58 apply (zenon_L1315_); trivial. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H11f | zenon_intro zenon_Hb ]. % 1.44/1.58 apply (zenon_L385_); trivial. % 1.44/1.58 exact (zenon_Ha zenon_Hb). % 1.44/1.58 (* end of lemma zenon_L1379_ *) % 1.44/1.58 assert (zenon_L1380_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((hskp26)\/(hskp11)) -> (~(hskp11)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> (ndr1_0) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H8e zenon_H6a zenon_H5 zenon_H3 zenon_H54 zenon_H5f zenon_H62 zenon_H66 zenon_Hf zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.58 apply (zenon_L1379_); trivial. % 1.44/1.58 apply (zenon_L121_); trivial. % 1.44/1.58 (* end of lemma zenon_L1380_ *) % 1.44/1.58 assert (zenon_L1381_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a592))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (ndr1_0) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H8e zenon_H30 zenon_H1a3 zenon_H1eb zenon_H1e7 zenon_H83 zenon_H1ac zenon_H1a5 zenon_Hfb zenon_H287 zenon_Hf zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.58 apply (zenon_L1379_); trivial. % 1.44/1.58 apply (zenon_L1345_); trivial. % 1.44/1.58 (* end of lemma zenon_L1381_ *) % 1.44/1.58 assert (zenon_L1382_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H8b zenon_H12c zenon_H8a zenon_Hc0 zenon_H1c8 zenon_H142 zenon_H1eb zenon_H1c zenon_H1a zenon_H24f zenon_H1ba zenon_H155 zenon_H6e zenon_H6d zenon_H6c zenon_Hcc zenon_Hcb zenon_Hca zenon_H12f zenon_H130 zenon_H12e zenon_H285 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H40 zenon_H1b5. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.44/1.58 apply (zenon_L135_); trivial. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.44/1.58 apply (zenon_L456_); trivial. % 1.44/1.58 apply (zenon_L310_); trivial. % 1.44/1.58 (* end of lemma zenon_L1382_ *) % 1.44/1.58 assert (zenon_L1383_ : ((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (~(c2_1 (a606))) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp11)) -> False). % 1.44/1.58 do 0 intro. intros zenon_H32 zenon_H2ab zenon_H12e zenon_H130 zenon_H12f zenon_H4b zenon_H4c zenon_H4d zenon_H274 zenon_H3. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hf. zenon_intro zenon_H33. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H1f. zenon_intro zenon_H34. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H2ac ]. % 1.44/1.58 apply (zenon_L465_); trivial. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H18f | zenon_intro zenon_H4 ]. % 1.44/1.58 apply (zenon_L173_); trivial. % 1.44/1.58 exact (zenon_H3 zenon_H4). % 1.44/1.58 (* end of lemma zenon_L1383_ *) % 1.44/1.58 assert (zenon_L1384_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a606))) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H8b zenon_H30 zenon_H2ab zenon_H3 zenon_H12e zenon_H130 zenon_H12f zenon_H274 zenon_H176 zenon_H177 zenon_H178 zenon_H1e7 zenon_H83 zenon_H1ac zenon_H1a5 zenon_H142 zenon_H1c8. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.44/1.58 apply (zenon_L200_); trivial. % 1.44/1.58 apply (zenon_L1383_); trivial. % 1.44/1.58 (* end of lemma zenon_L1384_ *) % 1.44/1.58 assert (zenon_L1385_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (ndr1_0) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a592))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((hskp26)\/(hskp11)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H1bf zenon_H12c zenon_Hc0 zenon_H1c zenon_H1a zenon_H1ba zenon_H40 zenon_H1b5 zenon_H13b zenon_H2ab zenon_H3 zenon_H274 zenon_H176 zenon_H177 zenon_H178 zenon_H142 zenon_H1c8 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H306 zenon_H305 zenon_H304 zenon_Hf zenon_H287 zenon_H1a5 zenon_H1ac zenon_H1e7 zenon_H1eb zenon_H1a3 zenon_H30 zenon_H8e zenon_H5 zenon_H174 zenon_Hb1 zenon_Hc1 zenon_H66 zenon_H1e1. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.58 apply (zenon_L1381_); trivial. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.58 apply (zenon_L1379_); trivial. % 1.44/1.58 apply (zenon_L1384_); trivial. % 1.44/1.58 apply (zenon_L580_); trivial. % 1.44/1.58 apply (zenon_L140_); trivial. % 1.44/1.58 (* end of lemma zenon_L1385_ *) % 1.44/1.58 assert (zenon_L1386_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a592))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H197 zenon_H1e1 zenon_Hc1 zenon_Hb1 zenon_H128 zenon_H42 zenon_H125 zenon_H304 zenon_H305 zenon_H306 zenon_H123 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1ac zenon_H1e7 zenon_H178 zenon_H177 zenon_H176 zenon_H1eb zenon_H1a3 zenon_H30 zenon_H8e. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.58 apply (zenon_L1339_); trivial. % 1.44/1.58 apply (zenon_L358_); trivial. % 1.44/1.58 apply (zenon_L198_); trivial. % 1.44/1.58 (* end of lemma zenon_L1386_ *) % 1.44/1.58 assert (zenon_L1387_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a592))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H1e1 zenon_Hc1 zenon_Hb1 zenon_H128 zenon_H42 zenon_H125 zenon_H123 zenon_H1a5 zenon_H1ac zenon_H1e7 zenon_H1eb zenon_H1a3 zenon_H30 zenon_H8e zenon_H1c8 zenon_H142 zenon_H2f5 zenon_H2ab zenon_H178 zenon_H177 zenon_H176 zenon_H304 zenon_H305 zenon_H306 zenon_H229 zenon_H303. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.58 apply (zenon_L1325_); trivial. % 1.44/1.58 apply (zenon_L1386_); trivial. % 1.44/1.58 (* end of lemma zenon_L1387_ *) % 1.44/1.58 assert (zenon_L1388_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a592))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H197 zenon_H1e1 zenon_H8e zenon_H30 zenon_H1a3 zenon_H1eb zenon_H1e7 zenon_H1ac zenon_H1a5 zenon_H287 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H128 zenon_H42 zenon_H125 zenon_Hc1 zenon_Hb1 zenon_H184 zenon_H185 zenon_H186 zenon_H54 zenon_H1d2 zenon_H5f zenon_H1c8 zenon_H142 zenon_H1c3 zenon_H104 zenon_H62 zenon_H274 zenon_Hc0 zenon_H1e0 zenon_H6a zenon_H13b. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.58 apply (zenon_L1381_); trivial. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.58 apply (zenon_L1339_); trivial. % 1.44/1.58 apply (zenon_L449_); trivial. % 1.44/1.58 apply (zenon_L1341_); trivial. % 1.44/1.58 (* end of lemma zenon_L1388_ *) % 1.44/1.58 assert (zenon_L1389_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> (~(c2_1 (a606))) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(hskp18)) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (ndr1_0) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H30 zenon_H2ab zenon_H3 zenon_H4b zenon_H4c zenon_H4d zenon_H12e zenon_H130 zenon_H12f zenon_H274 zenon_H28d zenon_H100 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hf zenon_H142 zenon_H1c8. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.44/1.58 apply (zenon_L294_); trivial. % 1.44/1.58 apply (zenon_L1383_); trivial. % 1.44/1.58 (* end of lemma zenon_L1389_ *) % 1.44/1.58 assert (zenon_L1390_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(hskp11)) -> ((hskp26)\/(hskp11)) -> False). % 1.44/1.58 do 0 intro. intros zenon_H127 zenon_H66 zenon_Hc0 zenon_H1c zenon_H1a zenon_H174 zenon_H46 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H304 zenon_H305 zenon_H306 zenon_H1ba zenon_Hd8 zenon_Hd7 zenon_H229 zenon_H3 zenon_H5. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.44/1.58 apply (zenon_L3_); trivial. % 1.44/1.58 apply (zenon_L1334_); trivial. % 1.44/1.58 (* end of lemma zenon_L1390_ *) % 1.44/1.58 assert (zenon_L1391_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a592))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((hskp26)\/(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H194 zenon_H1e1 zenon_Hc1 zenon_Hb1 zenon_H8e zenon_H30 zenon_H1a3 zenon_H1eb zenon_H1e7 zenon_H1ac zenon_H1a5 zenon_H287 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H2ab zenon_H3 zenon_H274 zenon_H28d zenon_H142 zenon_H1c8 zenon_H5 zenon_H229 zenon_H1ba zenon_H46 zenon_H174 zenon_H1a zenon_H1c zenon_Hc0 zenon_H66 zenon_H12c zenon_H13b. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.58 apply (zenon_L1381_); trivial. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.58 apply (zenon_L1379_); trivial. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.44/1.58 apply (zenon_L1389_); trivial. % 1.44/1.58 apply (zenon_L1390_); trivial. % 1.44/1.58 apply (zenon_L580_); trivial. % 1.44/1.58 (* end of lemma zenon_L1391_ *) % 1.44/1.58 assert (zenon_L1392_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((hskp26)\/(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H8b zenon_H12c zenon_H66 zenon_Hc0 zenon_H1c zenon_H1a zenon_H6c zenon_H6d zenon_H6e zenon_H1ba zenon_H5 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H274 zenon_H12f zenon_H130 zenon_H12e zenon_H3 zenon_H2ab zenon_H30. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.44/1.58 apply (zenon_L1389_); trivial. % 1.44/1.58 apply (zenon_L139_); trivial. % 1.44/1.58 (* end of lemma zenon_L1392_ *) % 1.44/1.58 assert (zenon_L1393_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (ndr1_0) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((hskp26)\/(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a592))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H1bf zenon_H1e1 zenon_Hc1 zenon_Hb1 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1ac zenon_H1e7 zenon_H178 zenon_H177 zenon_H176 zenon_Hf zenon_H184 zenon_H185 zenon_H186 zenon_H192 zenon_H30 zenon_H13b zenon_H12c zenon_H66 zenon_Hc0 zenon_H1c zenon_H1a zenon_H174 zenon_H1ba zenon_H229 zenon_H5 zenon_H28d zenon_H274 zenon_H3 zenon_H2ab zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H306 zenon_H305 zenon_H304 zenon_H287 zenon_H1eb zenon_H1a3 zenon_H8e zenon_H198. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.58 apply (zenon_L203_); trivial. % 1.44/1.58 apply (zenon_L1391_); trivial. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.58 apply (zenon_L1381_); trivial. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.58 apply (zenon_L1379_); trivial. % 1.44/1.58 apply (zenon_L1392_); trivial. % 1.44/1.58 apply (zenon_L198_); trivial. % 1.44/1.58 (* end of lemma zenon_L1393_ *) % 1.44/1.58 assert (zenon_L1394_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(hskp12)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> (ndr1_0) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H8e zenon_H6a zenon_H48 zenon_H40 zenon_H46 zenon_H54 zenon_H5f zenon_H62 zenon_H66 zenon_Hf zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.58 apply (zenon_L1379_); trivial. % 1.44/1.58 apply (zenon_L356_); trivial. % 1.44/1.58 (* end of lemma zenon_L1394_ *) % 1.44/1.58 assert (zenon_L1395_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(hskp16)) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> (ndr1_0) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H8e zenon_H6a zenon_H265 zenon_H287 zenon_Hfb zenon_He4 zenon_Hd7 zenon_H140 zenon_H54 zenon_H5f zenon_H62 zenon_H66 zenon_Hf zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.58 apply (zenon_L1379_); trivial. % 1.44/1.58 apply (zenon_L1376_); trivial. % 1.44/1.58 (* end of lemma zenon_L1395_ *) % 1.44/1.58 assert (zenon_L1396_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H194 zenon_H13b zenon_H274 zenon_Hcc zenon_H22b zenon_H22c zenon_H237 zenon_H104 zenon_Hcb zenon_Hca zenon_H142 zenon_H8 zenon_H144 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H306 zenon_H305 zenon_H304 zenon_H66 zenon_H62 zenon_H5f zenon_H54 zenon_H140 zenon_H287 zenon_H265 zenon_H6a zenon_H8e. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.58 apply (zenon_L1395_); trivial. % 1.44/1.58 apply (zenon_L1366_); trivial. % 1.44/1.58 (* end of lemma zenon_L1396_ *) % 1.44/1.58 assert (zenon_L1397_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (ndr1_0) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H12c zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H304 zenon_H305 zenon_H306 zenon_Ha zenon_H123 zenon_H155 zenon_H6e zenon_H6d zenon_H6c zenon_Hcc zenon_Hcb zenon_Hca zenon_H12f zenon_H130 zenon_H12e zenon_H285 zenon_Hf zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H40 zenon_H1b5. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.44/1.58 apply (zenon_L135_); trivial. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.44/1.58 apply (zenon_L456_); trivial. % 1.44/1.58 apply (zenon_L1347_); trivial. % 1.44/1.58 (* end of lemma zenon_L1397_ *) % 1.44/1.58 assert (zenon_L1398_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.44/1.58 do 0 intro. intros zenon_H137 zenon_H8e zenon_H12c zenon_H8a zenon_Hc1 zenon_Hb1 zenon_H92 zenon_H91 zenon_H90 zenon_H1eb zenon_H24f zenon_H285 zenon_H1d2 zenon_H5f zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H274 zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H30 zenon_H1e0 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.58 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.58 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.58 apply (zenon_L1379_); trivial. % 1.44/1.58 apply (zenon_L471_); trivial. % 1.44/1.58 (* end of lemma zenon_L1398_ *) % 1.44/1.58 assert (zenon_L1399_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.44/1.59 do 0 intro. intros zenon_Hc6 zenon_H13b zenon_H12c zenon_H8a zenon_Hc1 zenon_Hb1 zenon_H1eb zenon_H24f zenon_H285 zenon_H1d2 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H274 zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H30 zenon_H1e0 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H306 zenon_H305 zenon_H304 zenon_H66 zenon_H62 zenon_H5f zenon_H54 zenon_H140 zenon_Hd7 zenon_He4 zenon_H287 zenon_H265 zenon_H6a zenon_H8e. % 1.44/1.59 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.44/1.59 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.44/1.59 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.59 apply (zenon_L1395_); trivial. % 1.44/1.59 apply (zenon_L1398_); trivial. % 1.44/1.59 (* end of lemma zenon_L1399_ *) % 1.44/1.59 assert (zenon_L1400_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.44/1.59 do 0 intro. intros zenon_H137 zenon_H8e zenon_H12c zenon_H8a zenon_H85 zenon_H83 zenon_H160 zenon_H15f zenon_H15e zenon_H285 zenon_H1d2 zenon_H5f zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H274 zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H30 zenon_H1e0 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.59 apply (zenon_L1379_); trivial. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.44/1.59 apply (zenon_L467_); trivial. % 1.44/1.59 apply (zenon_L369_); trivial. % 1.44/1.59 (* end of lemma zenon_L1400_ *) % 1.44/1.59 assert (zenon_L1401_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a592))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((hskp26)\/(hskp11)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.44/1.59 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H1e1 zenon_H24f zenon_Hc1 zenon_Hb1 zenon_H1f6 zenon_H125 zenon_H203 zenon_H207 zenon_H8e zenon_H30 zenon_H1a3 zenon_H1eb zenon_H1e7 zenon_H1ac zenon_H1a5 zenon_H287 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H1e0 zenon_H104 zenon_H237 zenon_H22c zenon_H22b zenon_H274 zenon_H28d zenon_H142 zenon_H1c8 zenon_H1d2 zenon_H285 zenon_H85 zenon_H8a zenon_H12c zenon_H13b zenon_H31 zenon_H5 zenon_H5f zenon_H62 zenon_H66 zenon_H6a. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.59 apply (zenon_L106_); trivial. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.59 apply (zenon_L1381_); trivial. % 1.44/1.59 apply (zenon_L1400_); trivial. % 1.44/1.59 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.44/1.59 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.44/1.59 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.59 apply (zenon_L1379_); trivial. % 1.44/1.59 apply (zenon_L184_); trivial. % 1.44/1.59 apply (zenon_L1398_); trivial. % 1.44/1.59 (* end of lemma zenon_L1401_ *) % 1.44/1.59 assert (zenon_L1402_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> (~(hskp11)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> (~(c2_1 (a606))) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(hskp15)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> False). % 1.44/1.59 do 0 intro. intros zenon_H127 zenon_H303 zenon_H229 zenon_H306 zenon_H305 zenon_H304 zenon_H178 zenon_H177 zenon_H176 zenon_H2ab zenon_H15f zenon_H15e zenon_H160 zenon_H3 zenon_H2f5 zenon_H12e zenon_H130 zenon_H12f zenon_H285 zenon_H83 zenon_H85 zenon_H8a. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H300 ]. % 1.44/1.59 apply (zenon_L1107_); trivial. % 1.44/1.59 apply (zenon_L1324_); trivial. % 1.44/1.59 (* end of lemma zenon_L1402_ *) % 1.44/1.59 assert (zenon_L1403_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a592))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> False). % 1.44/1.59 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H22b zenon_H22c zenon_H237 zenon_H104 zenon_H13b zenon_H12c zenon_H303 zenon_H229 zenon_H178 zenon_H177 zenon_H176 zenon_H2f5 zenon_H285 zenon_H85 zenon_H8a zenon_H1c8 zenon_H142 zenon_H28d zenon_H274 zenon_H2ab zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H306 zenon_H305 zenon_H304 zenon_H287 zenon_H1a5 zenon_H1ac zenon_H1e7 zenon_H1eb zenon_H1a3 zenon_H30 zenon_H8e zenon_Hb1 zenon_Hc1 zenon_H1e1. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.59 apply (zenon_L1381_); trivial. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.59 apply (zenon_L1379_); trivial. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.44/1.59 apply (zenon_L1389_); trivial. % 1.44/1.59 apply (zenon_L1402_); trivial. % 1.44/1.59 apply (zenon_L198_); trivial. % 1.44/1.59 apply (zenon_L243_); trivial. % 1.44/1.59 (* end of lemma zenon_L1403_ *) % 1.44/1.59 assert (zenon_L1404_ : ((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp10)) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (c3_1 (a636)) -> (~(c1_1 (a636))) -> (~(c0_1 (a636))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> False). % 1.44/1.59 do 0 intro. intros zenon_H1dd zenon_Hc0 zenon_H62 zenon_H5f zenon_H1a zenon_H17f zenon_H1e5 zenon_H39 zenon_H38 zenon_H37 zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H142 zenon_H1c8. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_Hf. zenon_intro zenon_H1de. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d6. zenon_intro zenon_H1df. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.44/1.59 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.44/1.59 apply (zenon_L447_); trivial. % 1.44/1.59 apply (zenon_L166_); trivial. % 1.44/1.59 (* end of lemma zenon_L1404_ *) % 1.44/1.59 assert (zenon_L1405_ : ((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp10)) -> (~(hskp4)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(c2_1 (a606))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(hskp9)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> False). % 1.44/1.59 do 0 intro. intros zenon_H67 zenon_H1e0 zenon_Hc0 zenon_H62 zenon_H1a zenon_H17f zenon_H1e5 zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H142 zenon_H1c8 zenon_H12e zenon_H12f zenon_H130 zenon_H5f zenon_H1d2. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Hf. zenon_intro zenon_H68. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H39. zenon_intro zenon_H69. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H37. zenon_intro zenon_H38. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ]. % 1.44/1.59 apply (zenon_L156_); trivial. % 1.44/1.59 apply (zenon_L1404_); trivial. % 1.44/1.59 (* end of lemma zenon_L1405_ *) % 1.44/1.59 assert (zenon_L1406_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (~(hskp11)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> False). % 1.44/1.59 do 0 intro. intros zenon_H8b zenon_H303 zenon_H229 zenon_H306 zenon_H305 zenon_H304 zenon_H178 zenon_H177 zenon_H176 zenon_H274 zenon_H160 zenon_H15e zenon_H15f zenon_H278 zenon_H277 zenon_H276 zenon_H3 zenon_H2f5. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H300 ]. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H2f5); [ zenon_intro zenon_H9d | zenon_intro zenon_H2f6 ]. % 1.44/1.59 apply (zenon_L840_); trivial. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H2f6); [ zenon_intro zenon_H2f4 | zenon_intro zenon_H4 ]. % 1.44/1.59 exact (zenon_H2f3 zenon_H2f4). % 1.44/1.59 exact (zenon_H3 zenon_H4). % 1.44/1.59 apply (zenon_L1324_); trivial. % 1.44/1.59 (* end of lemma zenon_L1406_ *) % 1.44/1.59 assert (zenon_L1407_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (~(hskp11)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> (ndr1_0) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.44/1.59 do 0 intro. intros zenon_H8e zenon_H303 zenon_H229 zenon_H178 zenon_H177 zenon_H176 zenon_H274 zenon_H160 zenon_H15e zenon_H15f zenon_H278 zenon_H277 zenon_H276 zenon_H3 zenon_H2f5 zenon_Hf zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.59 apply (zenon_L1379_); trivial. % 1.44/1.59 apply (zenon_L1406_); trivial. % 1.44/1.59 (* end of lemma zenon_L1407_ *) % 1.44/1.59 assert (zenon_L1408_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.44/1.59 do 0 intro. intros zenon_H197 zenon_H8e zenon_H144 zenon_H8 zenon_H142 zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.59 apply (zenon_L1379_); trivial. % 1.44/1.59 apply (zenon_L274_); trivial. % 1.44/1.59 (* end of lemma zenon_L1408_ *) % 1.44/1.59 assert (zenon_L1409_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.44/1.59 do 0 intro. intros zenon_H229 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_Hca zenon_Hcb zenon_Hcc zenon_H1c3 zenon_H306 zenon_H305 zenon_H304 zenon_H1ba zenon_H114 zenon_H10c zenon_H10b zenon_Hd8 zenon_Hd7 zenon_Hf zenon_Had. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H22a ]. % 1.44/1.59 apply (zenon_L143_); trivial. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H10a | zenon_intro zenon_He0 ]. % 1.44/1.59 apply (zenon_L1315_); trivial. % 1.44/1.59 apply (zenon_L1332_); trivial. % 1.44/1.59 (* end of lemma zenon_L1409_ *) % 1.44/1.59 assert (zenon_L1410_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> False). % 1.44/1.59 do 0 intro. intros zenon_H127 zenon_H8a zenon_Hc0 zenon_H24f zenon_H1a zenon_H1c zenon_H4b zenon_H4c zenon_H4d zenon_H274 zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H304 zenon_H305 zenon_H306 zenon_H1ba zenon_Hd8 zenon_Hd7 zenon_H229 zenon_H276 zenon_H277 zenon_H278 zenon_H285. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.44/1.59 apply (zenon_L278_); trivial. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.44/1.59 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.44/1.59 apply (zenon_L1409_); trivial. % 1.44/1.59 apply (zenon_L501_); trivial. % 1.44/1.59 (* end of lemma zenon_L1410_ *) % 1.44/1.59 assert (zenon_L1411_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.44/1.59 do 0 intro. intros zenon_H137 zenon_H8e zenon_H12c zenon_H8a zenon_Hc0 zenon_H24f zenon_H1a zenon_H1c zenon_H1c3 zenon_Hcc zenon_Hcb zenon_Hca zenon_H1ba zenon_Hd8 zenon_Hd7 zenon_H229 zenon_H285 zenon_H1d2 zenon_H5f zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30 zenon_H1e0 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.59 apply (zenon_L1379_); trivial. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.44/1.59 apply (zenon_L618_); trivial. % 1.44/1.59 apply (zenon_L1410_); trivial. % 1.44/1.59 (* end of lemma zenon_L1411_ *) % 1.44/1.59 assert (zenon_L1412_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.44/1.59 do 0 intro. intros zenon_H194 zenon_H13b zenon_H12c zenon_H8a zenon_Hc0 zenon_H24f zenon_H1a zenon_H1c zenon_H1c3 zenon_Hcc zenon_Hcb zenon_Hca zenon_H1ba zenon_H229 zenon_H285 zenon_H1d2 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30 zenon_H1e0 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H306 zenon_H305 zenon_H304 zenon_H66 zenon_H62 zenon_H5f zenon_H54 zenon_H140 zenon_H287 zenon_H265 zenon_H6a zenon_H8e. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.59 apply (zenon_L1395_); trivial. % 1.44/1.59 apply (zenon_L1411_); trivial. % 1.44/1.59 (* end of lemma zenon_L1412_ *) % 1.44/1.59 assert (zenon_L1413_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (ndr1_0) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.44/1.59 do 0 intro. intros zenon_H8e zenon_H30 zenon_H274 zenon_H278 zenon_H277 zenon_H276 zenon_H176 zenon_H177 zenon_H178 zenon_H1e7 zenon_H83 zenon_H1ac zenon_H1a5 zenon_H142 zenon_H1c8 zenon_Hf zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.59 apply (zenon_L1379_); trivial. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.44/1.59 apply (zenon_L200_); trivial. % 1.44/1.59 apply (zenon_L295_); trivial. % 1.44/1.59 (* end of lemma zenon_L1413_ *) % 1.44/1.59 assert (zenon_L1414_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> (~(c2_1 (a606))) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp23)) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (ndr1_0) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> False). % 1.44/1.59 do 0 intro. intros zenon_H106 zenon_H15f zenon_H160 zenon_H12e zenon_H130 zenon_H12f zenon_H274 zenon_H2e zenon_H184 zenon_H185 zenon_H186 zenon_H4b zenon_H4c zenon_H4d zenon_H54 zenon_Hf zenon_H297 zenon_H298 zenon_H299. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H108 ]. % 1.44/1.59 apply (zenon_L434_); trivial. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H8f | zenon_intro zenon_H9d ]. % 1.44/1.59 apply (zenon_L421_); trivial. % 1.44/1.59 apply (zenon_L320_); trivial. % 1.44/1.59 (* end of lemma zenon_L1414_ *) % 1.44/1.59 assert (zenon_L1415_ : ((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (c3_1 (a636)) -> (~(c1_1 (a636))) -> (~(c0_1 (a636))) -> (~(hskp9)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp2)) -> (~(hskp7)) -> False). % 1.44/1.59 do 0 intro. intros zenon_Hbc zenon_H144 zenon_Hcc zenon_Hcb zenon_Hca zenon_H62 zenon_H39 zenon_H38 zenon_H37 zenon_H5f zenon_H274 zenon_H4d zenon_H4c zenon_H4b zenon_H12f zenon_H130 zenon_H12e zenon_H104 zenon_H142 zenon_H8. % 1.44/1.59 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.44/1.59 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.44/1.59 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H119 | zenon_intro zenon_H145 ]. % 1.44/1.59 apply (zenon_L428_); trivial. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H143 | zenon_intro zenon_H9 ]. % 1.44/1.59 exact (zenon_H142 zenon_H143). % 1.44/1.59 exact (zenon_H8 zenon_H9). % 1.44/1.59 (* end of lemma zenon_L1415_ *) % 1.44/1.59 assert (zenon_L1416_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp26)\/(hskp28))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> False). % 1.44/1.59 do 0 intro. intros zenon_H8b zenon_H6a zenon_H66 zenon_H128 zenon_H42 zenon_H125 zenon_Hcc zenon_Hcb zenon_Hca zenon_H2c0 zenon_H104 zenon_H5f zenon_H62 zenon_H142 zenon_H8 zenon_H144 zenon_Hc0 zenon_H274 zenon_H15f zenon_H160 zenon_H54 zenon_H12f zenon_H130 zenon_H12e zenon_H186 zenon_H185 zenon_H184 zenon_H297 zenon_H298 zenon_H299 zenon_H106. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.44/1.59 apply (zenon_L1414_); trivial. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Hf. zenon_intro zenon_H68. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H39. zenon_intro zenon_H69. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H37. zenon_intro zenon_H38. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.44/1.59 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H119 | zenon_intro zenon_H12b ]. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H108 ]. % 1.44/1.59 apply (zenon_L427_); trivial. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H8f | zenon_intro zenon_H9d ]. % 1.44/1.59 apply (zenon_L414_); trivial. % 1.44/1.59 apply (zenon_L320_); trivial. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H126 | zenon_intro zenon_H43 ]. % 1.44/1.59 exact (zenon_H125 zenon_H126). % 1.44/1.59 exact (zenon_H42 zenon_H43). % 1.44/1.59 apply (zenon_L1415_); trivial. % 1.44/1.59 apply (zenon_L25_); trivial. % 1.44/1.59 (* end of lemma zenon_L1416_ *) % 1.44/1.59 assert (zenon_L1417_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> False). % 1.44/1.59 do 0 intro. intros zenon_H197 zenon_H198 zenon_H8e zenon_H229 zenon_Hb1 zenon_Hf9 zenon_H1eb zenon_H125 zenon_H42 zenon_H128 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H297 zenon_H298 zenon_H299 zenon_H2ad. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.59 apply (zenon_L349_); trivial. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.59 apply (zenon_L1379_); trivial. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H22a ]. % 1.44/1.59 apply (zenon_L444_); trivial. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H10a | zenon_intro zenon_He0 ]. % 1.44/1.59 apply (zenon_L1315_); trivial. % 1.44/1.59 apply (zenon_L351_); trivial. % 1.44/1.59 (* end of lemma zenon_L1417_ *) % 1.44/1.59 assert (zenon_L1418_ : ((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(hskp1)) -> False). % 1.44/1.59 do 0 intro. intros zenon_H87 zenon_H229 zenon_H22b zenon_H22c zenon_H237 zenon_H1eb zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H4d zenon_H4c zenon_H4b zenon_Hca zenon_Hcb zenon_Hcc zenon_H24f zenon_H306 zenon_H305 zenon_H304 zenon_Hf9 zenon_H299 zenon_H298 zenon_H297 zenon_Hd8 zenon_Hd7 zenon_Hb1. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H22a ]. % 1.44/1.59 apply (zenon_L468_); trivial. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H10a | zenon_intro zenon_He0 ]. % 1.44/1.59 apply (zenon_L1315_); trivial. % 1.44/1.59 apply (zenon_L351_); trivial. % 1.44/1.59 (* end of lemma zenon_L1418_ *) % 1.44/1.59 assert (zenon_L1419_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> False). % 1.44/1.59 do 0 intro. intros zenon_H127 zenon_H8a zenon_H229 zenon_H297 zenon_H298 zenon_H299 zenon_Hd7 zenon_Hd8 zenon_Hb1 zenon_Hf9 zenon_H306 zenon_H305 zenon_H304 zenon_H1eb zenon_H4d zenon_H4c zenon_H4b zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H24f zenon_H285 zenon_H12f zenon_H130 zenon_H12e zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.44/1.59 apply (zenon_L368_); trivial. % 1.44/1.59 apply (zenon_L1418_); trivial. % 1.44/1.59 (* end of lemma zenon_L1419_ *) % 1.44/1.59 assert (zenon_L1420_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> (~(c2_1 (a606))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> False). % 1.44/1.59 do 0 intro. intros zenon_H8b zenon_H12c zenon_H8a zenon_H229 zenon_H297 zenon_H298 zenon_H299 zenon_Hd7 zenon_Hd8 zenon_Hb1 zenon_Hf9 zenon_H306 zenon_H305 zenon_H304 zenon_H1eb zenon_H24f zenon_H285 zenon_H1d2 zenon_H5f zenon_H130 zenon_H12f zenon_H12e zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H274 zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H30 zenon_H1e0. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.44/1.59 apply (zenon_L467_); trivial. % 1.44/1.59 apply (zenon_L1419_); trivial. % 1.44/1.59 (* end of lemma zenon_L1420_ *) % 1.44/1.59 assert (zenon_L1421_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (ndr1_0) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> False). % 1.44/1.59 do 0 intro. intros zenon_H66 zenon_Hc1 zenon_Hb1 zenon_H92 zenon_H91 zenon_H90 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H46 zenon_H174 zenon_Hf zenon_H304 zenon_H305 zenon_H306 zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Hd7 zenon_He4 zenon_Hfb zenon_H287. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.44/1.59 apply (zenon_L1373_); trivial. % 1.44/1.59 apply (zenon_L161_); trivial. % 1.44/1.59 (* end of lemma zenon_L1421_ *) % 1.44/1.59 assert (zenon_L1422_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.44/1.59 do 0 intro. intros zenon_Hc6 zenon_H13b zenon_H8e zenon_H12c zenon_H8a zenon_H1eb zenon_H24f zenon_H285 zenon_H1d2 zenon_H5f zenon_H1c8 zenon_H142 zenon_H28d zenon_H274 zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H30 zenon_H1e0 zenon_H123 zenon_H287 zenon_He4 zenon_Hd7 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H306 zenon_H305 zenon_H304 zenon_H174 zenon_H46 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_Hb1 zenon_Hc1 zenon_H66. % 1.44/1.59 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.44/1.59 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.44/1.59 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.59 apply (zenon_L1421_); trivial. % 1.44/1.59 apply (zenon_L1398_); trivial. % 1.44/1.59 (* end of lemma zenon_L1422_ *) % 1.44/1.59 assert (zenon_L1423_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (ndr1_0) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(hskp11)) -> ((hskp26)\/(hskp11)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> False). % 1.44/1.59 do 0 intro. intros zenon_H1bf zenon_Hf9 zenon_H2ad zenon_H299 zenon_H298 zenon_H297 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_Hf zenon_H13b zenon_H12c zenon_H66 zenon_Hc0 zenon_H1c zenon_H1a zenon_H174 zenon_H1ba zenon_H229 zenon_H3 zenon_H5 zenon_H1d2 zenon_H5f zenon_H1c8 zenon_H142 zenon_H28d zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H1e0 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H306 zenon_H305 zenon_H304 zenon_H287 zenon_H1e7 zenon_H1eb zenon_H30 zenon_H8e zenon_Hb1 zenon_Hc1 zenon_H1e1 zenon_H198. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.59 apply (zenon_L349_); trivial. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.59 apply (zenon_L1381_); trivial. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.59 apply (zenon_L1379_); trivial. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.44/1.59 apply (zenon_L618_); trivial. % 1.44/1.59 apply (zenon_L1390_); trivial. % 1.44/1.59 apply (zenon_L580_); trivial. % 1.44/1.59 apply (zenon_L322_); trivial. % 1.44/1.59 (* end of lemma zenon_L1423_ *) % 1.44/1.59 assert (zenon_L1424_ : ((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(hskp12)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(hskp1)) -> False). % 1.44/1.59 do 0 intro. intros zenon_H61 zenon_H229 zenon_H46 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H174 zenon_H306 zenon_H305 zenon_H304 zenon_Hf9 zenon_H299 zenon_H298 zenon_H297 zenon_Hd8 zenon_Hd7 zenon_Hb1. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_Hf. zenon_intro zenon_H63. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H11. zenon_intro zenon_H64. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H22a ]. % 1.44/1.59 apply (zenon_L132_); trivial. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H10a | zenon_intro zenon_He0 ]. % 1.44/1.59 apply (zenon_L1315_); trivial. % 1.44/1.59 apply (zenon_L351_); trivial. % 1.44/1.59 (* end of lemma zenon_L1424_ *) % 1.44/1.59 assert (zenon_L1425_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (c0_1 (a603)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (ndr1_0) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> False). % 1.44/1.59 do 0 intro. intros zenon_H66 zenon_H229 zenon_H297 zenon_H298 zenon_H299 zenon_Hd8 zenon_Hb1 zenon_Hf9 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H46 zenon_H174 zenon_Hf zenon_H304 zenon_H305 zenon_H306 zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Hd7 zenon_He4 zenon_Hfb zenon_H287. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.44/1.59 apply (zenon_L1373_); trivial. % 1.44/1.59 apply (zenon_L1424_); trivial. % 1.44/1.59 (* end of lemma zenon_L1425_ *) % 1.44/1.59 assert (zenon_L1426_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.44/1.59 do 0 intro. intros zenon_H137 zenon_H8e zenon_H12c zenon_H8a zenon_H85 zenon_H83 zenon_H160 zenon_H15f zenon_H15e zenon_H285 zenon_H1d2 zenon_H5f zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30 zenon_H1e0 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.59 apply (zenon_L1379_); trivial. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.44/1.59 apply (zenon_L618_); trivial. % 1.44/1.59 apply (zenon_L284_); trivial. % 1.44/1.59 (* end of lemma zenon_L1426_ *) % 1.44/1.59 assert (zenon_L1427_ : ((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> (~(c0_1 (a633))) -> (~(c3_1 (a633))) -> (c1_1 (a633)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a636)) -> (~(c1_1 (a636))) -> (~(c0_1 (a636))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> False). % 1.44/1.59 do 0 intro. intros zenon_H87 zenon_Hc0 zenon_H14b zenon_H14c zenon_H14d zenon_H155 zenon_H1eb zenon_H4d zenon_H4c zenon_H4b zenon_H62 zenon_H5f zenon_H39 zenon_H38 zenon_H37 zenon_H24f zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H304 zenon_H305 zenon_H306 zenon_H1ba zenon_Hd8 zenon_Hd7 zenon_H114 zenon_H10c zenon_H10b zenon_H229. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.44/1.59 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.44/1.59 apply (zenon_L1409_); trivial. % 1.44/1.59 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.44/1.59 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.44/1.59 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H22a ]. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.44/1.59 apply (zenon_L305_); trivial. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.44/1.59 apply (zenon_L297_); trivial. % 1.44/1.59 apply (zenon_L31_); trivial. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H10a | zenon_intro zenon_He0 ]. % 1.44/1.59 apply (zenon_L1315_); trivial. % 1.44/1.59 apply (zenon_L209_); trivial. % 1.44/1.59 (* end of lemma zenon_L1427_ *) % 1.44/1.59 assert (zenon_L1428_ : ((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> (~(c0_1 (a633))) -> (~(c3_1 (a633))) -> (c1_1 (a633)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> False). % 1.44/1.59 do 0 intro. intros zenon_H67 zenon_H8a zenon_Hc0 zenon_H14b zenon_H14c zenon_H14d zenon_H155 zenon_H1eb zenon_H4d zenon_H4c zenon_H4b zenon_H62 zenon_H5f zenon_H24f zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H304 zenon_H305 zenon_H306 zenon_H1ba zenon_Hd8 zenon_Hd7 zenon_H229 zenon_H285 zenon_H12f zenon_H130 zenon_H12e zenon_H114 zenon_H10c zenon_H10b zenon_H90 zenon_H91 zenon_H92 zenon_H297 zenon_H298 zenon_H299 zenon_H106. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Hf. zenon_intro zenon_H68. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H39. zenon_intro zenon_H69. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H37. zenon_intro zenon_H38. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.44/1.59 apply (zenon_L589_); trivial. % 1.44/1.59 apply (zenon_L1427_); trivial. % 1.44/1.59 (* end of lemma zenon_L1428_ *) % 1.44/1.59 assert (zenon_L1429_ : ((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> False). % 1.44/1.59 do 0 intro. intros zenon_H127 zenon_H159 zenon_H6a zenon_H8a zenon_Hc0 zenon_H155 zenon_H1eb zenon_H62 zenon_H5f zenon_H24f zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H304 zenon_H305 zenon_H306 zenon_H1ba zenon_Hd8 zenon_Hd7 zenon_H229 zenon_H285 zenon_H274 zenon_H15f zenon_H160 zenon_H54 zenon_H12f zenon_H130 zenon_H12e zenon_H4d zenon_H4c zenon_H4b zenon_H90 zenon_H91 zenon_H92 zenon_H106 zenon_H297 zenon_H298 zenon_H299 zenon_H42 zenon_H222. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H146 | zenon_intro zenon_H154 ]. % 1.44/1.59 apply (zenon_L324_); trivial. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_Hf. zenon_intro zenon_H156. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14d. zenon_intro zenon_H157. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.44/1.59 apply (zenon_L611_); trivial. % 1.44/1.59 apply (zenon_L1428_); trivial. % 1.44/1.59 (* end of lemma zenon_L1429_ *) % 1.44/1.59 assert (zenon_L1430_ : ((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> False). % 1.44/1.59 do 0 intro. intros zenon_H19c zenon_H198 zenon_H229 zenon_Hb1 zenon_Hf9 zenon_H306 zenon_H305 zenon_H304 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H297 zenon_H298 zenon_H299 zenon_H2ad. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.59 apply (zenon_L349_); trivial. % 1.44/1.59 apply (zenon_L1356_); trivial. % 1.44/1.59 (* end of lemma zenon_L1430_ *) % 1.44/1.59 assert (zenon_L1431_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp2)) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((hskp26)\/(hskp11)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> (ndr1_0) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((hskp10)\/(hskp7))) -> False). % 1.44/1.59 do 0 intro. intros zenon_H209 zenon_H19b zenon_H8e zenon_H144 zenon_H142 zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H31 zenon_H5 zenon_H5f zenon_H62 zenon_H66 zenon_H6a zenon_Hf zenon_H304 zenon_H305 zenon_H306 zenon_H8 zenon_H30d. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.44/1.59 apply (zenon_L1316_); trivial. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.59 apply (zenon_L106_); trivial. % 1.44/1.59 apply (zenon_L1408_); trivial. % 1.44/1.59 (* end of lemma zenon_L1431_ *) % 1.44/1.59 assert (zenon_L1432_ : ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((hskp10)\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (ndr1_0) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((hskp26)\/(hskp11)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> False). % 1.44/1.59 do 0 intro. intros zenon_H1a0 zenon_H1c8 zenon_H22b zenon_H22c zenon_H237 zenon_H104 zenon_H2f5 zenon_H299 zenon_H298 zenon_H297 zenon_H229 zenon_H303 zenon_H30d zenon_H8 zenon_H306 zenon_H305 zenon_H304 zenon_Hf zenon_H6a zenon_H66 zenon_H62 zenon_H5 zenon_H31 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H274 zenon_H278 zenon_H277 zenon_H276 zenon_H142 zenon_H144 zenon_H8e zenon_H19b zenon_H209. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.44/1.59 apply (zenon_L1431_); trivial. % 1.44/1.59 apply (zenon_L1368_); trivial. % 1.44/1.59 (* end of lemma zenon_L1432_ *) % 1.44/1.59 assert (zenon_L1433_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.44/1.59 do 0 intro. intros zenon_H137 zenon_H8e zenon_H12c zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_Hca zenon_Hcb zenon_Hcc zenon_H285 zenon_H1d2 zenon_H5f zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30 zenon_H1e0 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.59 apply (zenon_L1379_); trivial. % 1.44/1.59 apply (zenon_L619_); trivial. % 1.44/1.59 (* end of lemma zenon_L1433_ *) % 1.44/1.59 assert (zenon_L1434_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> False). % 1.44/1.59 do 0 intro. intros zenon_H197 zenon_H198 zenon_H13b zenon_H8e zenon_H12c zenon_H8a zenon_H24f zenon_H285 zenon_H1d2 zenon_H5f zenon_H1c8 zenon_H142 zenon_H28d zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30 zenon_H1e0 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H22b zenon_H22c zenon_H237 zenon_Hf9 zenon_Hb1 zenon_H107 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H297 zenon_H298 zenon_H299 zenon_H2ad. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.59 apply (zenon_L349_); trivial. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.59 apply (zenon_L365_); trivial. % 1.44/1.59 apply (zenon_L1433_); trivial. % 1.44/1.59 (* end of lemma zenon_L1434_ *) % 1.44/1.59 assert (zenon_L1435_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(hskp6)) -> (~(hskp22)) -> (ndr1_0) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(hskp1)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp16)) -> False). % 1.44/1.59 do 0 intro. intros zenon_H287 zenon_H306 zenon_H305 zenon_H304 zenon_H42 zenon_H146 zenon_Hf zenon_H15f zenon_H15e zenon_H160 zenon_H222 zenon_H4b zenon_H4c zenon_H4d zenon_Hf9 zenon_Hd8 zenon_Hd7 zenon_He4 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hb1 zenon_H1eb zenon_Hfb. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H10a | zenon_intro zenon_H288 ]. % 1.44/1.59 apply (zenon_L1315_); trivial. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H1c5 | zenon_intro zenon_Hfc ]. % 1.44/1.59 apply (zenon_L741_); trivial. % 1.44/1.59 exact (zenon_Hfb zenon_Hfc). % 1.44/1.59 (* end of lemma zenon_L1435_ *) % 1.44/1.59 assert (zenon_L1436_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp5)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> (c3_1 (a598)) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(c1_1 (a603))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> False). % 1.44/1.59 do 0 intro. intros zenon_H8b zenon_H159 zenon_H128 zenon_H125 zenon_Hca zenon_Hcb zenon_Hcc zenon_H155 zenon_H304 zenon_H305 zenon_H306 zenon_H1eb zenon_H15f zenon_H15e zenon_H160 zenon_H42 zenon_H222 zenon_He4 zenon_Hd7 zenon_Hd8 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_Hb1 zenon_Hf9 zenon_Hfb zenon_H287. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H146 | zenon_intro zenon_H154 ]. % 1.44/1.59 apply (zenon_L1435_); trivial. % 1.44/1.59 apply (zenon_L717_); trivial. % 1.44/1.59 (* end of lemma zenon_L1436_ *) % 1.44/1.59 assert (zenon_L1437_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (ndr1_0) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(hskp12)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.44/1.59 do 0 intro. intros zenon_H198 zenon_H13b zenon_H274 zenon_H128 zenon_H42 zenon_H125 zenon_H304 zenon_H305 zenon_H306 zenon_H123 zenon_H287 zenon_Hf9 zenon_Hb1 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H222 zenon_H160 zenon_H15e zenon_H15f zenon_H1eb zenon_H155 zenon_H159 zenon_H8e zenon_Hd5 zenon_Hcc zenon_Hcb zenon_Hca zenon_Hf zenon_H48 zenon_H40 zenon_H46 zenon_H5f zenon_H62 zenon_H66 zenon_H6a. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.59 apply (zenon_L153_); trivial. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.59 apply (zenon_L1339_); trivial. % 1.44/1.59 apply (zenon_L1436_); trivial. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.59 apply (zenon_L1339_); trivial. % 1.44/1.59 apply (zenon_L743_); trivial. % 1.44/1.59 (* end of lemma zenon_L1437_ *) % 1.44/1.59 assert (zenon_L1438_ : ((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a592))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> (~(hskp3)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/((hskp3)\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> False). % 1.44/1.59 do 0 intro. intros zenon_H1bc zenon_H1e1 zenon_H203 zenon_H8e zenon_H30 zenon_H1a3 zenon_H1eb zenon_H304 zenon_H305 zenon_H306 zenon_H1e7 zenon_H1ac zenon_H1a5 zenon_H287 zenon_H2d6 zenon_H15a zenon_H2ca zenon_H2c8 zenon_Hca zenon_Hcb zenon_Hcc zenon_H155 zenon_H1d2 zenon_H5f zenon_H17f zenon_H208 zenon_H1e0 zenon_H13b. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.59 apply (zenon_L1132_); trivial. % 1.44/1.59 apply (zenon_L1345_); trivial. % 1.44/1.59 apply (zenon_L188_); trivial. % 1.44/1.59 apply (zenon_L644_); trivial. % 1.44/1.59 (* end of lemma zenon_L1438_ *) % 1.44/1.59 assert (zenon_L1439_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/((hskp3)\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp8)) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> ((hskp26)\/(hskp11)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> False). % 1.44/1.59 do 0 intro. intros zenon_H19b zenon_H1e1 zenon_H203 zenon_H8e zenon_H30 zenon_H1eb zenon_H304 zenon_H305 zenon_H306 zenon_H1e7 zenon_H287 zenon_H2d6 zenon_H155 zenon_H1d2 zenon_H5f zenon_H208 zenon_H1e0 zenon_H13b zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H66 zenon_H181 zenon_H17f zenon_H15a zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H174 zenon_H40 zenon_H48 zenon_H1b5 zenon_H5 zenon_H1ba zenon_H1a zenon_H1c zenon_Hc0 zenon_H12c zenon_H1bf. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.59 apply (zenon_L141_); trivial. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.44/1.59 apply (zenon_L632_); trivial. % 1.44/1.59 apply (zenon_L1438_); trivial. % 1.44/1.59 (* end of lemma zenon_L1439_ *) % 1.44/1.59 assert (zenon_L1440_ : ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/((hskp3)\/(hskp4))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp8)) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> ((hskp26)\/(hskp11)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> False). % 1.44/1.59 do 0 intro. intros zenon_H1a0 zenon_H19b zenon_H1e1 zenon_H203 zenon_H8e zenon_H30 zenon_H1eb zenon_H304 zenon_H305 zenon_H306 zenon_H1e7 zenon_H287 zenon_H2d6 zenon_H155 zenon_H1d2 zenon_H208 zenon_H1e0 zenon_H13b zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H66 zenon_H181 zenon_H17f zenon_H15a zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H174 zenon_H40 zenon_H48 zenon_H1b5 zenon_H5 zenon_H1ba zenon_H1c zenon_Hc0 zenon_H12c zenon_H1bf zenon_H6a zenon_H62 zenon_H31 zenon_H8a zenon_H85 zenon_H77 zenon_H209. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.44/1.59 apply (zenon_L1439_); trivial. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.59 apply (zenon_L106_); trivial. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.59 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.44/1.59 apply (zenon_L133_); trivial. % 1.44/1.59 apply (zenon_L650_); trivial. % 1.44/1.59 apply (zenon_L128_); trivial. % 1.44/1.59 (* end of lemma zenon_L1440_ *) % 1.44/1.59 assert (zenon_L1441_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(hskp11)) -> ((hskp26)\/(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.44/1.59 do 0 intro. intros zenon_H8b zenon_H12c zenon_H66 zenon_Hc0 zenon_H1c zenon_H1a zenon_H6c zenon_H6d zenon_H6e zenon_H1ba zenon_H3 zenon_H5 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H304 zenon_H305 zenon_H306 zenon_H1eb zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_Hfb zenon_H287 zenon_H30. % 1.44/1.59 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.44/1.60 apply (zenon_L686_); trivial. % 1.44/1.60 apply (zenon_L1344_); trivial. % 1.44/1.60 apply (zenon_L139_); trivial. % 1.44/1.60 (* end of lemma zenon_L1441_ *) % 1.44/1.60 assert (zenon_L1442_ : ((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> (~(hskp3)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> False). % 1.44/1.60 do 0 intro. intros zenon_H87 zenon_Hc0 zenon_H24f zenon_H2d6 zenon_H15a zenon_H174 zenon_H46 zenon_H155 zenon_H304 zenon_H305 zenon_H306 zenon_Ha zenon_H123 zenon_Hca zenon_Hcb zenon_Hcc zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.44/1.60 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.44/1.60 apply (zenon_L630_); trivial. % 1.44/1.60 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.44/1.60 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.44/1.60 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.44/1.60 apply (zenon_L1317_); trivial. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14a | zenon_intro zenon_H158 ]. % 1.44/1.60 apply (zenon_L637_); trivial. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H6b ]. % 1.44/1.60 apply (zenon_L51_); trivial. % 1.44/1.60 apply (zenon_L805_); trivial. % 1.44/1.60 apply (zenon_L31_); trivial. % 1.44/1.60 (* end of lemma zenon_L1442_ *) % 1.44/1.60 assert (zenon_L1443_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> (~(hskp17)) -> (~(hskp3)) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> False). % 1.44/1.60 do 0 intro. intros zenon_H12c zenon_H8a zenon_Hc0 zenon_H24f zenon_H174 zenon_H46 zenon_H155 zenon_H304 zenon_H305 zenon_H306 zenon_H123 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1c3 zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H2d6 zenon_Ha zenon_H15a zenon_H2ca zenon_H2c9 zenon_H2c8 zenon_Hf zenon_H40 zenon_H1b5. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.44/1.60 apply (zenon_L623_); trivial. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.44/1.60 apply (zenon_L278_); trivial. % 1.44/1.60 apply (zenon_L1442_); trivial. % 1.44/1.60 (* end of lemma zenon_L1443_ *) % 1.44/1.60 assert (zenon_L1444_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp3))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> (~(c3_1 (a586))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(hskp3)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (ndr1_0) -> ((hskp26)\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(hskp12)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.44/1.60 do 0 intro. intros zenon_H198 zenon_H8e zenon_H15c zenon_H1b5 zenon_H2c8 zenon_H2c9 zenon_H2ca zenon_H15a zenon_H2d6 zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H1c3 zenon_H123 zenon_H306 zenon_H305 zenon_H304 zenon_H155 zenon_H174 zenon_H24f zenon_Hc0 zenon_H8a zenon_H12c zenon_Hd5 zenon_Hcc zenon_Hcb zenon_Hca zenon_Hf zenon_H48 zenon_H40 zenon_H46 zenon_H5f zenon_H62 zenon_H66 zenon_H6a. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.60 apply (zenon_L153_); trivial. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.60 apply (zenon_L1443_); trivial. % 1.44/1.60 apply (zenon_L101_); trivial. % 1.44/1.60 (* end of lemma zenon_L1444_ *) % 1.44/1.60 assert (zenon_L1445_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp8)) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> (~(hskp3)) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp3))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((hskp26)\/(hskp11)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.44/1.60 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H1bf zenon_H1e1 zenon_H13b zenon_H1e0 zenon_H208 zenon_H17f zenon_H1d2 zenon_H203 zenon_H77 zenon_H85 zenon_H40 zenon_H48 zenon_Hd5 zenon_H12c zenon_H8a zenon_Hc0 zenon_H24f zenon_H174 zenon_H155 zenon_H304 zenon_H305 zenon_H306 zenon_H123 zenon_H1c3 zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H2d6 zenon_H15a zenon_H2ca zenon_H2c9 zenon_H2c8 zenon_H1b5 zenon_H15c zenon_H8e zenon_H198 zenon_H31 zenon_H5 zenon_H5f zenon_H62 zenon_H66 zenon_H6a. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.60 apply (zenon_L106_); trivial. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.44/1.60 apply (zenon_L1444_); trivial. % 1.44/1.60 apply (zenon_L650_); trivial. % 1.44/1.60 (* end of lemma zenon_L1445_ *) % 1.44/1.60 assert (zenon_L1446_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((hskp26)\/(hskp11)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.44/1.60 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H1bf zenon_H13b zenon_H1e0 zenon_H208 zenon_H17f zenon_H15a zenon_H1d2 zenon_H203 zenon_H2ca zenon_H2c8 zenon_H155 zenon_H12c zenon_H8a zenon_H85 zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H40 zenon_H1b5 zenon_H48 zenon_H174 zenon_Hb1 zenon_Hc1 zenon_H1e1 zenon_H31 zenon_H5 zenon_H5f zenon_H62 zenon_H66 zenon_H6a. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.60 apply (zenon_L106_); trivial. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.44/1.60 apply (zenon_L286_); trivial. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.60 apply (zenon_L285_); trivial. % 1.44/1.60 apply (zenon_L644_); trivial. % 1.44/1.60 (* end of lemma zenon_L1446_ *) % 1.44/1.60 assert (zenon_L1447_ : ((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> False). % 1.44/1.60 do 0 intro. intros zenon_H19c zenon_H198 zenon_H229 zenon_H297 zenon_H298 zenon_H299 zenon_Hf9 zenon_H306 zenon_H305 zenon_H304 zenon_H30 zenon_H192 zenon_H186 zenon_H185 zenon_H184 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1e7 zenon_Hb1 zenon_Hc1 zenon_H1e1. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.60 apply (zenon_L675_); trivial. % 1.44/1.60 apply (zenon_L1356_); trivial. % 1.44/1.60 (* end of lemma zenon_L1447_ *) % 1.44/1.60 assert (zenon_L1448_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(hskp11)) -> ((hskp26)\/(hskp11)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> (~(hskp17)) -> (~(hskp3)) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> False). % 1.44/1.60 do 0 intro. intros zenon_H12c zenon_H66 zenon_Hc0 zenon_H1c zenon_H1a zenon_H174 zenon_H46 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H304 zenon_H305 zenon_H306 zenon_H1ba zenon_Hd8 zenon_Hd7 zenon_H229 zenon_H3 zenon_H5 zenon_H2d6 zenon_Ha zenon_H15a zenon_H2ca zenon_H2c9 zenon_H2c8 zenon_Hf zenon_H40 zenon_H1b5. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.44/1.60 apply (zenon_L623_); trivial. % 1.44/1.60 apply (zenon_L1390_); trivial. % 1.44/1.60 (* end of lemma zenon_L1448_ *) % 1.44/1.60 assert (zenon_L1449_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (~(hskp11)) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> (~(c2_1 (a606))) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (ndr1_0) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(hskp18)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> False). % 1.44/1.60 do 0 intro. intros zenon_H30 zenon_H2ab zenon_H3 zenon_H4b zenon_H4c zenon_H4d zenon_H12e zenon_H130 zenon_H12f zenon_H274 zenon_Hf zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H100 zenon_H28d. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.44/1.60 apply (zenon_L686_); trivial. % 1.44/1.60 apply (zenon_L1383_); trivial. % 1.44/1.60 (* end of lemma zenon_L1449_ *) % 1.44/1.60 assert (zenon_L1450_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((hskp26)\/(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.44/1.60 do 0 intro. intros zenon_H8b zenon_H12c zenon_H66 zenon_Hc0 zenon_H1c zenon_H1a zenon_H174 zenon_H46 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H304 zenon_H305 zenon_H306 zenon_H1ba zenon_Hd8 zenon_Hd7 zenon_H229 zenon_H5 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H274 zenon_H12f zenon_H130 zenon_H12e zenon_H3 zenon_H2ab zenon_H30. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.44/1.60 apply (zenon_L1449_); trivial. % 1.44/1.60 apply (zenon_L1390_); trivial. % 1.44/1.60 (* end of lemma zenon_L1450_ *) % 1.44/1.60 assert (zenon_L1451_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> (~(c3_1 (a586))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(hskp3)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> ((hskp26)\/(hskp11)) -> (~(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> False). % 1.44/1.60 do 0 intro. intros zenon_H194 zenon_H1e1 zenon_Hc1 zenon_Hb1 zenon_H8e zenon_H30 zenon_H1eb zenon_H1e7 zenon_H287 zenon_H1b5 zenon_H40 zenon_H2c8 zenon_H2c9 zenon_H2ca zenon_H15a zenon_H2d6 zenon_H5 zenon_H3 zenon_H229 zenon_H1ba zenon_H306 zenon_H305 zenon_H304 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H46 zenon_H174 zenon_H1a zenon_H1c zenon_Hc0 zenon_H66 zenon_H12c zenon_H2ab zenon_H274 zenon_H28d zenon_H13b. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.60 apply (zenon_L1448_); trivial. % 1.44/1.60 apply (zenon_L1345_); trivial. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.60 apply (zenon_L1448_); trivial. % 1.44/1.60 apply (zenon_L1450_); trivial. % 1.44/1.60 apply (zenon_L580_); trivial. % 1.44/1.60 (* end of lemma zenon_L1451_ *) % 1.44/1.60 assert (zenon_L1452_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> (~(c3_1 (a586))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(hskp3)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> ((hskp26)\/(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> (ndr1_0) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> False). % 1.44/1.60 do 0 intro. intros zenon_H19b zenon_H6a zenon_H62 zenon_H5f zenon_H48 zenon_Hd5 zenon_H222 zenon_H42 zenon_H155 zenon_H159 zenon_H198 zenon_H1e1 zenon_Hc1 zenon_Hb1 zenon_H8e zenon_H30 zenon_H1eb zenon_H1e7 zenon_H287 zenon_H1b5 zenon_H40 zenon_H2c8 zenon_H2c9 zenon_H2ca zenon_H15a zenon_H2d6 zenon_H5 zenon_H229 zenon_H1ba zenon_H306 zenon_H305 zenon_H304 zenon_H174 zenon_H1a zenon_H1c zenon_Hc0 zenon_H66 zenon_H12c zenon_H2ab zenon_H274 zenon_H28d zenon_H13b zenon_Hf zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H297 zenon_H298 zenon_H299 zenon_H2ad zenon_H1bf. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.60 apply (zenon_L349_); trivial. % 1.44/1.60 apply (zenon_L1451_); trivial. % 1.44/1.60 apply (zenon_L140_); trivial. % 1.44/1.60 apply (zenon_L1364_); trivial. % 1.44/1.60 (* end of lemma zenon_L1452_ *) % 1.44/1.60 assert (zenon_L1453_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> (~(hskp8)) -> ((hskp26)\/((hskp12)\/(hskp8))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((hskp26)\/(hskp11)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.44/1.60 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H1bf zenon_H40 zenon_H48 zenon_Hd5 zenon_H222 zenon_H42 zenon_H299 zenon_H298 zenon_H297 zenon_H174 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H304 zenon_H305 zenon_H306 zenon_H155 zenon_H229 zenon_H159 zenon_H198 zenon_H31 zenon_H5 zenon_H5f zenon_H62 zenon_H66 zenon_H6a. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.60 apply (zenon_L106_); trivial. % 1.44/1.60 apply (zenon_L1364_); trivial. % 1.44/1.60 (* end of lemma zenon_L1453_ *) % 1.44/1.60 assert (zenon_L1454_ : ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16))))) -> (~(hskp16)) -> False). % 1.44/1.60 do 0 intro. intros zenon_H287 zenon_H306 zenon_H305 zenon_H304 zenon_H178 zenon_H177 zenon_H176 zenon_Hf zenon_Hf5 zenon_Hfb. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H10a | zenon_intro zenon_H288 ]. % 1.44/1.60 apply (zenon_L1315_); trivial. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H1c5 | zenon_intro zenon_Hfc ]. % 1.44/1.60 apply (zenon_L191_); trivial. % 1.44/1.60 exact (zenon_Hfb zenon_Hfc). % 1.44/1.60 (* end of lemma zenon_L1454_ *) % 1.44/1.60 assert (zenon_L1455_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp16)) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> False). % 1.44/1.60 do 0 intro. intros zenon_H104 zenon_Hfb zenon_H176 zenon_H177 zenon_H178 zenon_H304 zenon_H305 zenon_H306 zenon_H287 zenon_H237 zenon_H22c zenon_H22b zenon_Hf zenon_Hca zenon_Hcb zenon_Hcc. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H105 ]. % 1.44/1.60 apply (zenon_L1454_); trivial. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hec | zenon_intro zenon_Hc9 ]. % 1.44/1.60 apply (zenon_L226_); trivial. % 1.44/1.60 apply (zenon_L51_); trivial. % 1.44/1.60 (* end of lemma zenon_L1455_ *) % 1.44/1.60 assert (zenon_L1456_ : ((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> (~(hskp3)) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> False). % 1.44/1.60 do 0 intro. intros zenon_H19c zenon_H19b zenon_H198 zenon_Hf9 zenon_H13b zenon_H8e zenon_H30 zenon_H274 zenon_H1e7 zenon_H2d6 zenon_H15a zenon_H2ca zenon_H2c9 zenon_H2c8 zenon_H2ad zenon_H287 zenon_H22b zenon_H22c zenon_H237 zenon_H104 zenon_Hb1 zenon_Hc1 zenon_H1e1 zenon_H2f5 zenon_H299 zenon_H298 zenon_H297 zenon_H304 zenon_H305 zenon_H306 zenon_H229 zenon_H303. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.60 apply (zenon_L1355_); trivial. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.60 apply (zenon_L1455_); trivial. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.60 apply (zenon_L715_); trivial. % 1.44/1.60 apply (zenon_L783_); trivial. % 1.44/1.60 apply (zenon_L198_); trivial. % 1.44/1.60 apply (zenon_L1356_); trivial. % 1.44/1.60 (* end of lemma zenon_L1456_ *) % 1.44/1.60 assert (zenon_L1457_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp3))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp3)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((hskp26)\/(hskp11)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.44/1.60 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H198 zenon_H15c zenon_H18d zenon_H30 zenon_H192 zenon_H186 zenon_H185 zenon_H184 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1e7 zenon_H2ad zenon_H299 zenon_H298 zenon_H297 zenon_H203 zenon_H15a zenon_H2d6 zenon_H9b zenon_H8 zenon_H104 zenon_H237 zenon_H22c zenon_H22b zenon_H54 zenon_H274 zenon_H265 zenon_Hbf zenon_H8e zenon_H13b zenon_H1e1 zenon_H31 zenon_H5 zenon_H5f zenon_H62 zenon_H66 zenon_H6a. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.60 apply (zenon_L106_); trivial. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.60 apply (zenon_L652_); trivial. % 1.44/1.60 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.44/1.60 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.44/1.60 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.60 apply (zenon_L823_); trivial. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.60 apply (zenon_L715_); trivial. % 1.44/1.60 apply (zenon_L772_); trivial. % 1.44/1.60 apply (zenon_L125_); trivial. % 1.44/1.60 (* end of lemma zenon_L1457_ *) % 1.44/1.60 assert (zenon_L1458_ : ((ndr1_0)/\((c1_1 (a593))/\((c3_1 (a593))/\(~(c2_1 (a593)))))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((hskp10)\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((hskp26)\/(hskp11)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> (~(hskp3)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp3))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> False). % 1.44/1.60 do 0 intro. intros zenon_H19f zenon_H1a0 zenon_H229 zenon_Hf9 zenon_Hb1 zenon_Hc1 zenon_H30d zenon_H8 zenon_H306 zenon_H305 zenon_H304 zenon_H6a zenon_H66 zenon_H62 zenon_H5 zenon_H31 zenon_H1e1 zenon_H13b zenon_H8e zenon_H12c zenon_H8a zenon_Hc0 zenon_H24f zenon_H1c3 zenon_H285 zenon_H54 zenon_H106 zenon_H28d zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H2d6 zenon_H15a zenon_H203 zenon_H297 zenon_H298 zenon_H299 zenon_H2ad zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H192 zenon_H30 zenon_H18d zenon_H15c zenon_H198 zenon_H19b zenon_H209. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.44/1.60 apply (zenon_L1316_); trivial. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.60 apply (zenon_L106_); trivial. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.60 apply (zenon_L652_); trivial. % 1.44/1.60 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.44/1.60 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.44/1.60 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.60 apply (zenon_L823_); trivial. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.60 apply (zenon_L715_); trivial. % 1.44/1.60 apply (zenon_L842_); trivial. % 1.44/1.60 apply (zenon_L125_); trivial. % 1.44/1.60 apply (zenon_L1447_); trivial. % 1.44/1.60 (* end of lemma zenon_L1458_ *) % 1.44/1.60 assert (zenon_L1459_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> (~(hskp17)) -> (~(hskp3)) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> False). % 1.44/1.60 do 0 intro. intros zenon_H12c zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H304 zenon_H305 zenon_H306 zenon_Hca zenon_Hcb zenon_H123 zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H2d6 zenon_Ha zenon_H15a zenon_H2ca zenon_H2c9 zenon_H2c8 zenon_Hf zenon_H40 zenon_H1b5. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.44/1.60 apply (zenon_L623_); trivial. % 1.44/1.60 apply (zenon_L1371_); trivial. % 1.44/1.60 (* end of lemma zenon_L1459_ *) % 1.44/1.60 assert (zenon_L1460_ : ((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(hskp1)) -> False). % 1.44/1.60 do 0 intro. intros zenon_H32 zenon_H229 zenon_H4b zenon_H4c zenon_H4d zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H1eb zenon_H306 zenon_H305 zenon_H304 zenon_Hf9 zenon_H299 zenon_H298 zenon_H297 zenon_Hd8 zenon_Hd7 zenon_Hb1. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hf. zenon_intro zenon_H33. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H1f. zenon_intro zenon_H34. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H22a ]. % 1.44/1.60 apply (zenon_L174_); trivial. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H10a | zenon_intro zenon_He0 ]. % 1.44/1.60 apply (zenon_L1315_); trivial. % 1.44/1.60 apply (zenon_L351_); trivial. % 1.44/1.60 (* end of lemma zenon_L1460_ *) % 1.44/1.60 assert (zenon_L1461_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (ndr1_0) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(hskp18)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> False). % 1.44/1.60 do 0 intro. intros zenon_H30 zenon_H229 zenon_H297 zenon_H298 zenon_H299 zenon_Hd7 zenon_Hd8 zenon_Hb1 zenon_Hf9 zenon_H306 zenon_H305 zenon_H304 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H4b zenon_H4c zenon_H4d zenon_H1eb zenon_Hf zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H100 zenon_H28d. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.44/1.60 apply (zenon_L686_); trivial. % 1.44/1.60 apply (zenon_L1460_); trivial. % 1.44/1.60 (* end of lemma zenon_L1461_ *) % 1.44/1.60 assert (zenon_L1462_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.44/1.60 do 0 intro. intros zenon_H8b zenon_H12c zenon_H8a zenon_H24f zenon_H285 zenon_H12f zenon_H130 zenon_H12e zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H1eb zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H304 zenon_H305 zenon_H306 zenon_Hf9 zenon_Hb1 zenon_Hd8 zenon_Hd7 zenon_H299 zenon_H298 zenon_H297 zenon_H229 zenon_H30. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.44/1.60 apply (zenon_L1461_); trivial. % 1.44/1.60 apply (zenon_L1419_); trivial. % 1.44/1.60 (* end of lemma zenon_L1462_ *) % 1.44/1.60 assert (zenon_L1463_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.44/1.60 do 0 intro. intros zenon_H137 zenon_H8e zenon_H128 zenon_H42 zenon_H125 zenon_H1eb zenon_Hcc zenon_Hcb zenon_Hca zenon_H274 zenon_H160 zenon_H15e zenon_H15f zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_Hb1 zenon_Hf9 zenon_H155 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.60 apply (zenon_L1379_); trivial. % 1.44/1.60 apply (zenon_L743_); trivial. % 1.44/1.60 (* end of lemma zenon_L1463_ *) % 1.44/1.60 assert (zenon_L1464_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.44/1.60 do 0 intro. intros zenon_H194 zenon_H13b zenon_H274 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H306 zenon_H305 zenon_H304 zenon_H287 zenon_Hf9 zenon_Hb1 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H222 zenon_H42 zenon_H160 zenon_H15e zenon_H15f zenon_H1eb zenon_H155 zenon_Hcc zenon_Hcb zenon_Hca zenon_H125 zenon_H128 zenon_H159 zenon_H8e. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.60 apply (zenon_L1379_); trivial. % 1.44/1.60 apply (zenon_L1436_); trivial. % 1.44/1.60 apply (zenon_L1463_); trivial. % 1.44/1.60 (* end of lemma zenon_L1464_ *) % 1.44/1.60 assert (zenon_L1465_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (c2_1 (a586)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (ndr1_0) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.44/1.60 do 0 intro. intros zenon_H8e zenon_H207 zenon_H203 zenon_Hfb zenon_H2ca zenon_H2c8 zenon_H92 zenon_H91 zenon_H90 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1eb zenon_H15f zenon_H160 zenon_H125 zenon_H1f6 zenon_H2c9 zenon_H155 zenon_Hf zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.60 apply (zenon_L1379_); trivial. % 1.44/1.60 apply (zenon_L649_); trivial. % 1.44/1.60 (* end of lemma zenon_L1465_ *) % 1.44/1.60 assert (zenon_L1466_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c1_1 (a598))) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a586)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (c3_1 (a598)) -> (c0_1 (a598)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.44/1.60 do 0 intro. intros zenon_Hc6 zenon_H13b zenon_H128 zenon_H42 zenon_H274 zenon_H15e zenon_Hb1 zenon_Hf9 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H306 zenon_H305 zenon_H304 zenon_H155 zenon_H2c9 zenon_H1f6 zenon_H125 zenon_H160 zenon_H15f zenon_H1eb zenon_Hcc zenon_Hcb zenon_Hca zenon_H2c8 zenon_H2ca zenon_H203 zenon_H207 zenon_H8e. % 1.44/1.60 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.44/1.60 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.44/1.60 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.60 apply (zenon_L1465_); trivial. % 1.44/1.60 apply (zenon_L1463_); trivial. % 1.44/1.60 (* end of lemma zenon_L1466_ *) % 1.44/1.60 assert (zenon_L1467_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (ndr1_0) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.44/1.60 do 0 intro. intros zenon_H8e zenon_H8a zenon_H85 zenon_H160 zenon_H15f zenon_H15e zenon_H1e7 zenon_H83 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H77 zenon_H40 zenon_H1eb zenon_H30 zenon_Hf zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.60 apply (zenon_L1379_); trivial. % 1.44/1.60 apply (zenon_L662_); trivial. % 1.44/1.60 (* end of lemma zenon_L1467_ *) % 1.44/1.60 assert (zenon_L1468_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c1_1 (a598))) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (c3_1 (a598)) -> (c0_1 (a598)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp14)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.44/1.60 do 0 intro. intros zenon_H1e1 zenon_H13b zenon_H128 zenon_H42 zenon_H274 zenon_H15e zenon_Hb1 zenon_Hf9 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H306 zenon_H305 zenon_H304 zenon_H155 zenon_H1f6 zenon_H125 zenon_H160 zenon_H15f zenon_H1eb zenon_Hcc zenon_Hcb zenon_Hca zenon_H203 zenon_H207 zenon_H8e zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hf zenon_H184 zenon_H185 zenon_H186 zenon_Hd3 zenon_H192 zenon_H30. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.60 apply (zenon_L652_); trivial. % 1.44/1.60 apply (zenon_L1466_); trivial. % 1.44/1.60 (* end of lemma zenon_L1468_ *) % 1.44/1.60 assert (zenon_L1469_ : ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (ndr1_0) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> False). % 1.44/1.60 do 0 intro. intros zenon_H1e1 zenon_Hc1 zenon_Hb1 zenon_H30 zenon_H2ab zenon_H3 zenon_H304 zenon_H305 zenon_H306 zenon_H176 zenon_H177 zenon_H178 zenon_H287 zenon_Hf zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1e7 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H274 zenon_H28d zenon_H8a zenon_H85 zenon_H285 zenon_H2f5 zenon_H160 zenon_H15e zenon_H15f zenon_H229 zenon_H303 zenon_H12c zenon_H8e zenon_H13b. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.44/1.60 apply (zenon_L635_); trivial. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hf. zenon_intro zenon_H33. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H1f. zenon_intro zenon_H34. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H2ac ]. % 1.44/1.60 apply (zenon_L1454_); trivial. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H18f | zenon_intro zenon_H4 ]. % 1.44/1.60 apply (zenon_L173_); trivial. % 1.44/1.60 exact (zenon_H3 zenon_H4). % 1.44/1.60 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.60 apply (zenon_L1379_); trivial. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.44/1.60 apply (zenon_L1449_); trivial. % 1.44/1.60 apply (zenon_L1402_); trivial. % 1.44/1.60 apply (zenon_L198_); trivial. % 1.44/1.60 (* end of lemma zenon_L1469_ *) % 1.44/1.60 assert (zenon_L1470_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (~(hskp11)) -> (~(c2_1 (a606))) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> False). % 1.44/1.60 do 0 intro. intros zenon_H8b zenon_H30 zenon_H2ab zenon_H3 zenon_H12e zenon_H130 zenon_H12f zenon_H274 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H83 zenon_H1e7. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.44/1.60 apply (zenon_L635_); trivial. % 1.44/1.60 apply (zenon_L1383_); trivial. % 1.44/1.60 (* end of lemma zenon_L1470_ *) % 1.44/1.60 assert (zenon_L1471_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (ndr1_0) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a592))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.44/1.60 do 0 intro. intros zenon_H13b zenon_H2ab zenon_H3 zenon_H274 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H306 zenon_H305 zenon_H304 zenon_Hf zenon_H287 zenon_H1a5 zenon_H1ac zenon_H83 zenon_H1e7 zenon_H1eb zenon_H1a3 zenon_H30 zenon_H8e. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.60 apply (zenon_L1381_); trivial. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.60 apply (zenon_L1379_); trivial. % 1.44/1.60 apply (zenon_L1470_); trivial. % 1.44/1.60 (* end of lemma zenon_L1471_ *) % 1.44/1.60 assert (zenon_L1472_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((hskp26)\/(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.44/1.60 do 0 intro. intros zenon_H8b zenon_H12c zenon_H66 zenon_Hc0 zenon_H1c zenon_H1a zenon_H6c zenon_H6d zenon_H6e zenon_H1ba zenon_H5 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H274 zenon_H12f zenon_H130 zenon_H12e zenon_H3 zenon_H2ab zenon_H30. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.44/1.60 apply (zenon_L1449_); trivial. % 1.44/1.60 apply (zenon_L139_); trivial. % 1.44/1.60 (* end of lemma zenon_L1472_ *) % 1.44/1.60 assert (zenon_L1473_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((hskp26)\/(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp11)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.44/1.60 do 0 intro. intros zenon_H137 zenon_H8e zenon_H12c zenon_H66 zenon_Hc0 zenon_H1c zenon_H1a zenon_H6c zenon_H6d zenon_H6e zenon_H1ba zenon_H5 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H274 zenon_H3 zenon_H2ab zenon_H30 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.60 apply (zenon_L1379_); trivial. % 1.44/1.60 apply (zenon_L1472_); trivial. % 1.44/1.60 (* end of lemma zenon_L1473_ *) % 1.44/1.60 assert (zenon_L1474_ : ((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((hskp26)\/(hskp11)) -> (~(hskp11)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.44/1.60 do 0 intro. intros zenon_H1bc zenon_H13b zenon_H274 zenon_H2ab zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H306 zenon_H305 zenon_H304 zenon_H30 zenon_H287 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H1eb zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H28d zenon_H5 zenon_H3 zenon_H1ba zenon_H1a zenon_H1c zenon_Hc0 zenon_H66 zenon_H12c zenon_H8e. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.60 apply (zenon_L1379_); trivial. % 1.44/1.60 apply (zenon_L1441_); trivial. % 1.44/1.60 apply (zenon_L1473_); trivial. % 1.44/1.60 (* end of lemma zenon_L1474_ *) % 1.44/1.60 assert (zenon_L1475_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (ndr1_0) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a592))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.44/1.60 do 0 intro. intros zenon_H13b zenon_Hc0 zenon_H104 zenon_H1a zenon_H1c zenon_H274 zenon_Hca zenon_Hcb zenon_Hcc zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H306 zenon_H305 zenon_H304 zenon_Hf zenon_H287 zenon_H1a5 zenon_H1ac zenon_H83 zenon_H1e7 zenon_H1eb zenon_H1a3 zenon_H30 zenon_H8e. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.60 apply (zenon_L1381_); trivial. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.60 apply (zenon_L1379_); trivial. % 1.44/1.60 apply (zenon_L738_); trivial. % 1.44/1.60 (* end of lemma zenon_L1475_ *) % 1.44/1.60 assert (zenon_L1476_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp6)) -> (~(hskp5)) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (ndr1_0) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a592))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.44/1.60 do 0 intro. intros zenon_H13b zenon_H128 zenon_H42 zenon_H125 zenon_Hcc zenon_Hcb zenon_Hca zenon_H274 zenon_H160 zenon_H15e zenon_H15f zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_Hb1 zenon_Hf9 zenon_H155 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H306 zenon_H305 zenon_H304 zenon_Hf zenon_H287 zenon_H1a5 zenon_H1ac zenon_H83 zenon_H1e7 zenon_H1eb zenon_H1a3 zenon_H30 zenon_H8e. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.60 apply (zenon_L1381_); trivial. % 1.44/1.60 apply (zenon_L1463_); trivial. % 1.44/1.60 (* end of lemma zenon_L1476_ *) % 1.44/1.60 assert (zenon_L1477_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a592))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((hskp26)\/(hskp11)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.44/1.60 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H1e1 zenon_H1f6 zenon_H203 zenon_H207 zenon_H8e zenon_H30 zenon_H1a3 zenon_H1eb zenon_H1e7 zenon_H1ac zenon_H1a5 zenon_H287 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H155 zenon_Hf9 zenon_Hb1 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H274 zenon_H125 zenon_H42 zenon_H128 zenon_H13b zenon_H31 zenon_H5 zenon_H5f zenon_H62 zenon_H66 zenon_H6a. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.60 apply (zenon_L106_); trivial. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.60 apply (zenon_L1476_); trivial. % 1.44/1.60 apply (zenon_L1466_); trivial. % 1.44/1.60 (* end of lemma zenon_L1477_ *) % 1.44/1.60 assert (zenon_L1478_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a592))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> False). % 1.44/1.60 do 0 intro. intros zenon_H197 zenon_H1e1 zenon_Hc1 zenon_Hb1 zenon_H178 zenon_H177 zenon_H176 zenon_H8e zenon_H30 zenon_H1a3 zenon_H1eb zenon_H1e7 zenon_H1ac zenon_H1a5 zenon_H287 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H274 zenon_H1c zenon_H1a zenon_H104 zenon_Hc0 zenon_H13b. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.60 apply (zenon_L1475_); trivial. % 1.44/1.60 apply (zenon_L198_); trivial. % 1.44/1.60 (* end of lemma zenon_L1478_ *) % 1.44/1.60 assert (zenon_L1479_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> (~(c0_1 (a592))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp5)) -> (~(hskp6)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> False). % 1.44/1.60 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H1a3 zenon_H1eb zenon_H1ac zenon_H1a5 zenon_H155 zenon_Hf9 zenon_H125 zenon_H42 zenon_H128 zenon_H13b zenon_H8e zenon_H12c zenon_H303 zenon_H229 zenon_H2f5 zenon_H285 zenon_H85 zenon_H8a zenon_H28d zenon_H274 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H287 zenon_H178 zenon_H177 zenon_H176 zenon_H306 zenon_H305 zenon_H304 zenon_H2ab zenon_H30 zenon_Hb1 zenon_Hc1 zenon_H1e1. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.60 apply (zenon_L1469_); trivial. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.60 apply (zenon_L1476_); trivial. % 1.44/1.60 apply (zenon_L198_); trivial. % 1.44/1.60 (* end of lemma zenon_L1479_ *) % 1.44/1.60 assert (zenon_L1480_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a592))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((hskp26)\/(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> False). % 1.44/1.60 do 0 intro. intros zenon_H194 zenon_H1e1 zenon_Hc1 zenon_Hb1 zenon_H8e zenon_H30 zenon_H1a3 zenon_H1eb zenon_H1e7 zenon_H1ac zenon_H1a5 zenon_H287 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H2ab zenon_H3 zenon_H274 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H28d zenon_H5 zenon_H229 zenon_H1ba zenon_H46 zenon_H174 zenon_H1a zenon_H1c zenon_Hc0 zenon_H66 zenon_H12c zenon_H13b. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.60 apply (zenon_L1381_); trivial. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.60 apply (zenon_L1379_); trivial. % 1.44/1.60 apply (zenon_L1450_); trivial. % 1.44/1.60 apply (zenon_L580_); trivial. % 1.44/1.60 (* end of lemma zenon_L1480_ *) % 1.44/1.60 assert (zenon_L1481_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp14))) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (ndr1_0) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((hskp26)\/(hskp11)) -> (~(hskp11)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> False). % 1.44/1.60 do 0 intro. intros zenon_H198 zenon_H8e zenon_H1eb zenon_H287 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H2ab zenon_H274 zenon_H28d zenon_H229 zenon_H1ba zenon_H1a zenon_H1c zenon_Hc0 zenon_H12c zenon_H13b zenon_H30 zenon_H192 zenon_H186 zenon_H185 zenon_H184 zenon_Hf zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1e7 zenon_H5 zenon_H3 zenon_H174 zenon_H46 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_Hb1 zenon_Hc1 zenon_H66 zenon_H1e1. % 1.44/1.60 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.60 apply (zenon_L706_); trivial. % 1.44/1.60 apply (zenon_L1480_); trivial. % 1.44/1.60 (* end of lemma zenon_L1481_ *) % 1.44/1.60 assert (zenon_L1482_ : ((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp23)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> False). % 1.44/1.60 do 0 intro. intros zenon_H87 zenon_Hc0 zenon_Hc1 zenon_Hb1 zenon_H184 zenon_H185 zenon_H186 zenon_H2e zenon_H54 zenon_H1eb zenon_Hcc zenon_Hcb zenon_Hca zenon_H4d zenon_H4c zenon_H4b zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H1c zenon_H1a zenon_H24f zenon_H10b zenon_H10c zenon_H114 zenon_H6c zenon_H6d zenon_H6e zenon_H1ba. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.44/1.60 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.44/1.60 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.44/1.60 apply (zenon_L137_); trivial. % 1.44/1.60 apply (zenon_L520_); trivial. % 1.44/1.60 (* end of lemma zenon_L1482_ *) % 1.44/1.60 assert (zenon_L1483_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (~(hskp7)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.44/1.61 do 0 intro. intros zenon_H137 zenon_H8e zenon_Hbf zenon_H6a zenon_H66 zenon_H62 zenon_H5f zenon_H265 zenon_H274 zenon_H15f zenon_H160 zenon_H54 zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H90 zenon_H91 zenon_H92 zenon_H8 zenon_H9b zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.61 apply (zenon_L1379_); trivial. % 1.44/1.61 apply (zenon_L772_); trivial. % 1.44/1.61 (* end of lemma zenon_L1483_ *) % 1.44/1.61 assert (zenon_L1484_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp7)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a586)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (c3_1 (a598)) -> (c0_1 (a598)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.44/1.61 do 0 intro. intros zenon_Hc6 zenon_H13b zenon_Hbf zenon_H6a zenon_H66 zenon_H62 zenon_H5f zenon_H265 zenon_H274 zenon_H54 zenon_H22b zenon_H22c zenon_H237 zenon_H104 zenon_H8 zenon_H9b zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H306 zenon_H305 zenon_H304 zenon_H155 zenon_H2c9 zenon_H1f6 zenon_H125 zenon_H160 zenon_H15f zenon_H1eb zenon_Hcc zenon_Hcb zenon_Hca zenon_H2c8 zenon_H2ca zenon_H203 zenon_H207 zenon_H8e. % 1.44/1.61 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.44/1.61 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.44/1.61 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.61 apply (zenon_L1465_); trivial. % 1.44/1.61 apply (zenon_L1483_); trivial. % 1.44/1.61 (* end of lemma zenon_L1484_ *) % 1.44/1.61 assert (zenon_L1485_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.44/1.61 do 0 intro. intros zenon_H137 zenon_H8e zenon_H30 zenon_H104 zenon_Hcc zenon_Hcb zenon_Hca zenon_H237 zenon_H22c zenon_H22b zenon_H274 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H83 zenon_H1e7 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.61 apply (zenon_L1379_); trivial. % 1.44/1.61 apply (zenon_L783_); trivial. % 1.44/1.61 (* end of lemma zenon_L1485_ *) % 1.44/1.61 assert (zenon_L1486_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.44/1.61 do 0 intro. intros zenon_H8b zenon_H12c zenon_H8a zenon_H85 zenon_H83 zenon_H160 zenon_H15f zenon_H15e zenon_H285 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H274 zenon_H12f zenon_H130 zenon_H12e zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H30. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.44/1.61 apply (zenon_L687_); trivial. % 1.44/1.61 apply (zenon_L369_); trivial. % 1.44/1.61 (* end of lemma zenon_L1486_ *) % 1.44/1.61 assert (zenon_L1487_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.44/1.61 do 0 intro. intros zenon_H137 zenon_H8e zenon_H12c zenon_H8a zenon_H85 zenon_H83 zenon_H160 zenon_H15f zenon_H15e zenon_H285 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H274 zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H30 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.61 apply (zenon_L1379_); trivial. % 1.44/1.61 apply (zenon_L1486_); trivial. % 1.44/1.61 (* end of lemma zenon_L1487_ *) % 1.44/1.61 assert (zenon_L1488_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> False). % 1.44/1.61 do 0 intro. intros zenon_H197 zenon_H1e1 zenon_Hc1 zenon_Hb1 zenon_H104 zenon_H237 zenon_H22c zenon_H22b zenon_H304 zenon_H305 zenon_H306 zenon_H176 zenon_H177 zenon_H178 zenon_H287 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H30 zenon_H274 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H28d zenon_H285 zenon_H15e zenon_H15f zenon_H160 zenon_H85 zenon_H8a zenon_H12c zenon_H8e zenon_H13b. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.61 apply (zenon_L1455_); trivial. % 1.44/1.61 apply (zenon_L1487_); trivial. % 1.44/1.61 apply (zenon_L198_); trivial. % 1.44/1.61 (* end of lemma zenon_L1488_ *) % 1.44/1.61 assert (zenon_L1489_ : ((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25))))))\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((hskp26)\/(hskp11)) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(c0_1 (a590))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp1)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> False). % 1.44/1.61 do 0 intro. intros zenon_H19c zenon_H209 zenon_H12c zenon_H303 zenon_H229 zenon_H2f5 zenon_H285 zenon_H85 zenon_H8a zenon_H28d zenon_H2ab zenon_H66 zenon_Hc0 zenon_H1c zenon_H237 zenon_H22c zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3 zenon_H5 zenon_H13b zenon_H8e zenon_H30 zenon_H274 zenon_H1e7 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H287 zenon_H306 zenon_H305 zenon_H304 zenon_H22b zenon_H104 zenon_Hb1 zenon_Hc1 zenon_H1e1 zenon_H19b. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.61 apply (zenon_L656_); trivial. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.61 apply (zenon_L1455_); trivial. % 1.44/1.61 apply (zenon_L1485_); trivial. % 1.44/1.61 apply (zenon_L198_); trivial. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.61 apply (zenon_L1469_); trivial. % 1.44/1.61 apply (zenon_L1488_); trivial. % 1.44/1.61 (* end of lemma zenon_L1489_ *) % 1.44/1.61 assert (zenon_L1490_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.44/1.61 do 0 intro. intros zenon_H137 zenon_H8e zenon_H12c zenon_H8a zenon_Hc1 zenon_Hb1 zenon_H92 zenon_H91 zenon_H90 zenon_H1eb zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H24f zenon_H285 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H274 zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H30 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.61 apply (zenon_L1379_); trivial. % 1.44/1.61 apply (zenon_L688_); trivial. % 1.44/1.61 (* end of lemma zenon_L1490_ *) % 1.44/1.61 assert (zenon_L1491_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> False). % 1.44/1.61 do 0 intro. intros zenon_Hc6 zenon_H13b zenon_H8e zenon_H12c zenon_H8a zenon_Hc1 zenon_Hb1 zenon_H1eb zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H24f zenon_H285 zenon_H28d zenon_H2c9 zenon_H274 zenon_H104 zenon_H30 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H203 zenon_H2ca zenon_H2c8 zenon_Hca zenon_Hcb zenon_Hcc zenon_H107 zenon_Hd8 zenon_Hd7 zenon_H237 zenon_H22c zenon_H22b zenon_H155. % 1.44/1.61 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.44/1.61 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.44/1.61 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.61 apply (zenon_L658_); trivial. % 1.44/1.61 apply (zenon_L1490_); trivial. % 1.44/1.61 (* end of lemma zenon_L1491_ *) % 1.44/1.61 assert (zenon_L1492_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a592))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a590))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (~(hskp4)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((hskp26)\/(hskp11)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.44/1.61 do 0 intro. intros zenon_H19b zenon_H198 zenon_H1e1 zenon_H12c zenon_H8a zenon_Hc1 zenon_Hb1 zenon_H24f zenon_H285 zenon_H28d zenon_H203 zenon_H107 zenon_H155 zenon_H8e zenon_H30 zenon_H1a3 zenon_H1eb zenon_H1e7 zenon_H1ac zenon_H1a5 zenon_H287 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H274 zenon_H22b zenon_H104 zenon_H13b zenon_Hd5 zenon_H1e5 zenon_H17f zenon_H5f zenon_H62 zenon_H6a zenon_H5 zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H22c zenon_H237 zenon_H1a zenon_H1c zenon_Hc0 zenon_H66. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.61 apply (zenon_L656_); trivial. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.61 apply (zenon_L634_); trivial. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.61 apply (zenon_L1381_); trivial. % 1.44/1.61 apply (zenon_L1485_); trivial. % 1.44/1.61 apply (zenon_L1491_); trivial. % 1.44/1.61 (* end of lemma zenon_L1492_ *) % 1.44/1.61 assert (zenon_L1493_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (ndr1_0) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a592))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.44/1.61 do 0 intro. intros zenon_H13b zenon_H12c zenon_H8a zenon_H85 zenon_H160 zenon_H15f zenon_H15e zenon_H285 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H274 zenon_H22b zenon_H22c zenon_H237 zenon_Hca zenon_Hcb zenon_Hcc zenon_H104 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H306 zenon_H305 zenon_H304 zenon_Hf zenon_H287 zenon_H1a5 zenon_H1ac zenon_H83 zenon_H1e7 zenon_H1eb zenon_H1a3 zenon_H30 zenon_H8e. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.61 apply (zenon_L1381_); trivial. % 1.44/1.61 apply (zenon_L1487_); trivial. % 1.44/1.61 (* end of lemma zenon_L1493_ *) % 1.44/1.61 assert (zenon_L1494_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a592))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> False). % 1.44/1.61 do 0 intro. intros zenon_H194 zenon_H1e1 zenon_Hc1 zenon_Hb1 zenon_H24f zenon_H203 zenon_H107 zenon_H155 zenon_H8e zenon_H30 zenon_H1a3 zenon_H1eb zenon_H1e7 zenon_H1ac zenon_H1a5 zenon_H287 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H104 zenon_Hcc zenon_Hcb zenon_Hca zenon_H237 zenon_H22c zenon_H22b zenon_H274 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H28d zenon_H285 zenon_H15e zenon_H15f zenon_H160 zenon_H85 zenon_H8a zenon_H12c zenon_H13b. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.61 apply (zenon_L1493_); trivial. % 1.44/1.61 apply (zenon_L1491_); trivial. % 1.44/1.61 (* end of lemma zenon_L1494_ *) % 1.44/1.61 assert (zenon_L1495_ : ((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a592))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> False). % 1.44/1.61 do 0 intro. intros zenon_H1bc zenon_H1e1 zenon_Hc1 zenon_Hb1 zenon_H24f zenon_H203 zenon_H155 zenon_H8e zenon_H30 zenon_H1a3 zenon_H1eb zenon_H1e7 zenon_H1ac zenon_H1a5 zenon_H287 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H104 zenon_Hcc zenon_Hcb zenon_Hca zenon_H237 zenon_H22c zenon_H22b zenon_H274 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H28d zenon_H285 zenon_H15e zenon_H15f zenon_H160 zenon_H85 zenon_H8a zenon_H12c zenon_H13b. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.61 apply (zenon_L1493_); trivial. % 1.44/1.61 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.44/1.61 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.44/1.61 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.61 apply (zenon_L643_); trivial. % 1.44/1.61 apply (zenon_L1490_); trivial. % 1.44/1.61 (* end of lemma zenon_L1495_ *) % 1.44/1.61 assert (zenon_L1496_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((hskp26)\/(hskp11)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.44/1.61 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H8e zenon_H12c zenon_H8a zenon_Hc0 zenon_H24f zenon_H1c3 zenon_H285 zenon_H54 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H31 zenon_H5 zenon_H5f zenon_H62 zenon_H66 zenon_H6a. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.61 apply (zenon_L106_); trivial. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.61 apply (zenon_L1379_); trivial. % 1.44/1.61 apply (zenon_L698_); trivial. % 1.44/1.61 (* end of lemma zenon_L1496_ *) % 1.44/1.61 assert (zenon_L1497_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.44/1.61 do 0 intro. intros zenon_H8b zenon_H12c zenon_H8a zenon_H85 zenon_H83 zenon_H160 zenon_H15f zenon_H15e zenon_H285 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.44/1.61 apply (zenon_L693_); trivial. % 1.44/1.61 apply (zenon_L284_); trivial. % 1.44/1.61 (* end of lemma zenon_L1497_ *) % 1.44/1.61 assert (zenon_L1498_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (ndr1_0) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.44/1.61 do 0 intro. intros zenon_H8e zenon_H12c zenon_H8a zenon_H85 zenon_H83 zenon_H160 zenon_H15f zenon_H15e zenon_H285 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30 zenon_Hf zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.61 apply (zenon_L1379_); trivial. % 1.44/1.61 apply (zenon_L1497_); trivial. % 1.44/1.61 (* end of lemma zenon_L1498_ *) % 1.44/1.61 assert (zenon_L1499_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.44/1.61 do 0 intro. intros zenon_H1e2 zenon_H1e1 zenon_Hc1 zenon_Hb1 zenon_H178 zenon_H177 zenon_H176 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H306 zenon_H305 zenon_H304 zenon_H30 zenon_H274 zenon_H278 zenon_H277 zenon_H276 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H28d zenon_H285 zenon_H85 zenon_H8a zenon_H12c zenon_H8e. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.61 apply (zenon_L1498_); trivial. % 1.44/1.61 apply (zenon_L198_); trivial. % 1.44/1.61 (* end of lemma zenon_L1499_ *) % 1.44/1.61 assert (zenon_L1500_ : ((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((hskp10)\/(hskp7))) -> False). % 1.44/1.61 do 0 intro. intros zenon_H19c zenon_H209 zenon_H1e1 zenon_Hc1 zenon_Hb1 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H30 zenon_H274 zenon_H278 zenon_H277 zenon_H276 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H28d zenon_H285 zenon_H85 zenon_H8a zenon_H12c zenon_H8e zenon_H304 zenon_H305 zenon_H306 zenon_H8 zenon_H30d. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.44/1.61 apply (zenon_L1316_); trivial. % 1.44/1.61 apply (zenon_L1499_); trivial. % 1.44/1.61 (* end of lemma zenon_L1500_ *) % 1.44/1.61 assert (zenon_L1501_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((hskp26)\/(hskp11)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (ndr1_0) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> False). % 1.44/1.61 do 0 intro. intros zenon_H19b zenon_H8a zenon_H24f zenon_H1c3 zenon_H285 zenon_H1e1 zenon_H66 zenon_Hc1 zenon_Hb1 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H174 zenon_H5 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H306 zenon_H305 zenon_H304 zenon_Hf zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30 zenon_H8e zenon_H1b5 zenon_H40 zenon_H1ba zenon_H1a zenon_H1c zenon_Hc0 zenon_H12c zenon_H1bf. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.61 apply (zenon_L1379_); trivial. % 1.44/1.61 apply (zenon_L701_); trivial. % 1.44/1.61 apply (zenon_L580_); trivial. % 1.44/1.61 apply (zenon_L140_); trivial. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.61 apply (zenon_L1379_); trivial. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.44/1.61 apply (zenon_L135_); trivial. % 1.44/1.61 apply (zenon_L794_); trivial. % 1.44/1.61 (* end of lemma zenon_L1501_ *) % 1.44/1.61 assert (zenon_L1502_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(hskp11)) -> ((hskp26)\/(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.44/1.61 do 0 intro. intros zenon_H194 zenon_H8e zenon_H12c zenon_H66 zenon_Hc0 zenon_H1c zenon_H1a zenon_H174 zenon_H46 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H1ba zenon_H229 zenon_H3 zenon_H5 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.61 apply (zenon_L1379_); trivial. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.44/1.61 apply (zenon_L693_); trivial. % 1.44/1.61 apply (zenon_L1390_); trivial. % 1.44/1.61 (* end of lemma zenon_L1502_ *) % 1.44/1.61 assert (zenon_L1503_ : ((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(hskp11)) -> ((hskp26)\/(hskp11)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.44/1.61 do 0 intro. intros zenon_H1bc zenon_H8e zenon_H12c zenon_H66 zenon_Hc0 zenon_H1c zenon_H1a zenon_H1ba zenon_H3 zenon_H5 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.61 apply (zenon_L1379_); trivial. % 1.44/1.61 apply (zenon_L708_); trivial. % 1.44/1.61 (* end of lemma zenon_L1503_ *) % 1.44/1.61 assert (zenon_L1504_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.44/1.61 do 0 intro. intros zenon_H194 zenon_H8e zenon_H12c zenon_H8a zenon_Hc0 zenon_H24f zenon_H1a zenon_H1c zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H1ba zenon_H229 zenon_H285 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.61 apply (zenon_L1379_); trivial. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.44/1.61 apply (zenon_L693_); trivial. % 1.44/1.61 apply (zenon_L1410_); trivial. % 1.44/1.61 (* end of lemma zenon_L1504_ *) % 1.44/1.61 assert (zenon_L1505_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.44/1.61 do 0 intro. intros zenon_H197 zenon_H8e zenon_H159 zenon_H128 zenon_H125 zenon_H1eb zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H155 zenon_H297 zenon_H298 zenon_H299 zenon_H42 zenon_H222 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.61 apply (zenon_L1379_); trivial. % 1.44/1.61 apply (zenon_L718_); trivial. % 1.44/1.61 (* end of lemma zenon_L1505_ *) % 1.44/1.61 assert (zenon_L1506_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp5)\/(hskp6))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((hskp26)\/(hskp11)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> (ndr1_0) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((hskp10)\/(hskp7))) -> False). % 1.44/1.61 do 0 intro. intros zenon_H209 zenon_H19b zenon_H8e zenon_H159 zenon_H128 zenon_H125 zenon_H1eb zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H155 zenon_H297 zenon_H298 zenon_H299 zenon_H42 zenon_H222 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H31 zenon_H5 zenon_H5f zenon_H62 zenon_H66 zenon_H6a zenon_Hf zenon_H304 zenon_H305 zenon_H306 zenon_H8 zenon_H30d. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.44/1.61 apply (zenon_L1316_); trivial. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.61 apply (zenon_L106_); trivial. % 1.44/1.61 apply (zenon_L1505_); trivial. % 1.44/1.61 (* end of lemma zenon_L1506_ *) % 1.44/1.61 assert (zenon_L1507_ : ((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (c3_1 (a611)) -> (c1_1 (a611)) -> (c0_1 (a611)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c1_1 (a633)) -> (~(c3_1 (a633))) -> (~(c0_1 (a633))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> False). % 1.44/1.61 do 0 intro. intros zenon_Hbc zenon_H229 zenon_H7c zenon_H7b zenon_H7a zenon_H1c zenon_H1a zenon_H1eb zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H4d zenon_H4c zenon_H4b zenon_H24f zenon_H306 zenon_H305 zenon_H304 zenon_H155 zenon_H14d zenon_H14c zenon_H14b zenon_Hcc zenon_Hcb zenon_Hca zenon_Hd7 zenon_Hd8. % 1.44/1.61 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.44/1.61 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.44/1.61 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H22a ]. % 1.44/1.61 apply (zenon_L307_); trivial. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H10a | zenon_intro zenon_He0 ]. % 1.44/1.61 apply (zenon_L1315_); trivial. % 1.44/1.61 apply (zenon_L209_); trivial. % 1.44/1.61 (* end of lemma zenon_L1507_ *) % 1.44/1.61 assert (zenon_L1508_ : ((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a607)) -> (~(c2_1 (a607))) -> (~(c1_1 (a607))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> False). % 1.44/1.61 do 0 intro. intros zenon_H154 zenon_H8a zenon_H229 zenon_Hd7 zenon_Hd8 zenon_H155 zenon_H306 zenon_H305 zenon_H304 zenon_H1eb zenon_H4d zenon_H4c zenon_H4b zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H24f zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hcc zenon_Hcb zenon_Hca zenon_H285 zenon_H12f zenon_H130 zenon_H12e zenon_H114 zenon_H10c zenon_H10b zenon_H1c zenon_H1a zenon_H104 zenon_Hc0. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_Hf. zenon_intro zenon_H156. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14d. zenon_intro zenon_H157. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.44/1.61 apply (zenon_L679_); trivial. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.44/1.61 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.44/1.61 apply (zenon_L630_); trivial. % 1.44/1.61 apply (zenon_L1507_); trivial. % 1.44/1.61 (* end of lemma zenon_L1508_ *) % 1.44/1.61 assert (zenon_L1509_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.44/1.61 do 0 intro. intros zenon_H8b zenon_H12c zenon_H159 zenon_H8a zenon_H155 zenon_H24f zenon_H1c3 zenon_Hcc zenon_Hcb zenon_Hca zenon_H285 zenon_H12f zenon_H130 zenon_H12e zenon_H1c zenon_H1a zenon_H104 zenon_Hc0 zenon_H42 zenon_H222 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H1eb zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H304 zenon_H305 zenon_H306 zenon_Hf9 zenon_Hb1 zenon_Hd8 zenon_Hd7 zenon_H299 zenon_H298 zenon_H297 zenon_H229 zenon_H30. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.44/1.61 apply (zenon_L1461_); trivial. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H146 | zenon_intro zenon_H154 ]. % 1.44/1.61 apply (zenon_L324_); trivial. % 1.44/1.61 apply (zenon_L1508_); trivial. % 1.44/1.61 (* end of lemma zenon_L1509_ *) % 1.44/1.61 assert (zenon_L1510_ : ((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c1_1 (a633)) -> (~(c3_1 (a633))) -> (~(c0_1 (a633))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> False). % 1.44/1.61 do 0 intro. intros zenon_H32 zenon_H229 zenon_H4b zenon_H4c zenon_H4d zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H1eb zenon_H306 zenon_H305 zenon_H304 zenon_H155 zenon_H14d zenon_H14c zenon_H14b zenon_Hcc zenon_Hcb zenon_Hca zenon_Hd7 zenon_Hd8. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_Hf. zenon_intro zenon_H33. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H1f. zenon_intro zenon_H34. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H1d. zenon_intro zenon_H1e. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H22a ]. % 1.44/1.61 apply (zenon_L174_); trivial. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H10a | zenon_intro zenon_He0 ]. % 1.44/1.61 apply (zenon_L1315_); trivial. % 1.44/1.61 apply (zenon_L209_); trivial. % 1.44/1.61 (* end of lemma zenon_L1510_ *) % 1.44/1.61 assert (zenon_L1511_ : ((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> False). % 1.44/1.61 do 0 intro. intros zenon_H154 zenon_H30 zenon_H229 zenon_Hca zenon_Hcb zenon_Hcc zenon_Hd7 zenon_Hd8 zenon_H155 zenon_H306 zenon_H305 zenon_H304 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H4b zenon_H4c zenon_H4d zenon_H1eb zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H83 zenon_H1e7. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H154). zenon_intro zenon_Hf. zenon_intro zenon_H156. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_H14d. zenon_intro zenon_H157. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H14b. zenon_intro zenon_H14c. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.44/1.61 apply (zenon_L635_); trivial. % 1.44/1.61 apply (zenon_L1510_); trivial. % 1.44/1.61 (* end of lemma zenon_L1511_ *) % 1.44/1.61 assert (zenon_L1512_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (~(hskp7)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.44/1.61 do 0 intro. intros zenon_H137 zenon_H8e zenon_Hbf zenon_H6a zenon_H66 zenon_H62 zenon_H5f zenon_H265 zenon_H274 zenon_H15f zenon_H160 zenon_H54 zenon_H297 zenon_H298 zenon_H299 zenon_H106 zenon_H90 zenon_H91 zenon_H92 zenon_H8 zenon_H9b zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.61 apply (zenon_L1379_); trivial. % 1.44/1.61 apply (zenon_L613_); trivial. % 1.44/1.61 (* end of lemma zenon_L1512_ *) % 1.44/1.61 assert (zenon_L1513_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp7)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> False). % 1.44/1.61 do 0 intro. intros zenon_H194 zenon_H1e1 zenon_Hbf zenon_H6a zenon_H66 zenon_H62 zenon_H5f zenon_H265 zenon_H54 zenon_H106 zenon_H8 zenon_H9b zenon_H203 zenon_H155 zenon_H107 zenon_H297 zenon_H298 zenon_H299 zenon_Hb1 zenon_Hf9 zenon_H237 zenon_H22c zenon_H22b zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H306 zenon_H305 zenon_H304 zenon_H30 zenon_H104 zenon_Hcc zenon_Hcb zenon_Hca zenon_H274 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H28d zenon_H285 zenon_H15e zenon_H15f zenon_H160 zenon_H85 zenon_H8a zenon_H12c zenon_H8e zenon_H13b. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.61 apply (zenon_L365_); trivial. % 1.44/1.61 apply (zenon_L1487_); trivial. % 1.44/1.61 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.44/1.61 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.44/1.61 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.61 apply (zenon_L658_); trivial. % 1.44/1.61 apply (zenon_L1512_); trivial. % 1.44/1.61 (* end of lemma zenon_L1513_ *) % 1.44/1.61 assert (zenon_L1514_ : ((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((hskp10)\/(hskp7))) -> False). % 1.44/1.61 do 0 intro. intros zenon_H19c zenon_H209 zenon_H19b zenon_H1e1 zenon_Hc1 zenon_Hb1 zenon_H104 zenon_H237 zenon_H22c zenon_H22b zenon_H287 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H30 zenon_H274 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H28d zenon_H285 zenon_H85 zenon_H8a zenon_H12c zenon_H8e zenon_H13b zenon_H2f5 zenon_H299 zenon_H298 zenon_H297 zenon_H229 zenon_H303 zenon_H304 zenon_H305 zenon_H306 zenon_H8 zenon_H30d. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.44/1.61 apply (zenon_L1316_); trivial. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.61 apply (zenon_L1355_); trivial. % 1.44/1.61 apply (zenon_L1488_); trivial. % 1.44/1.61 (* end of lemma zenon_L1514_ *) % 1.44/1.61 assert (zenon_L1515_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp20))\/((ndr1_0)/\((~(c1_1 (a623)))/\((~(c2_1 (a623)))/\(~(c3_1 (a623))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/(hskp26))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp7)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((hskp7)\/(hskp20))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(c3_1 (a586))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(hskp14)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> False). % 1.44/1.61 do 0 intro. intros zenon_Hc6 zenon_H13b zenon_H8e zenon_Hbf zenon_H6a zenon_H66 zenon_H62 zenon_H5f zenon_H265 zenon_H274 zenon_H15f zenon_H160 zenon_H54 zenon_H106 zenon_H8 zenon_H9b zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H203 zenon_H2ca zenon_H2c9 zenon_H2c8 zenon_H297 zenon_H298 zenon_H299 zenon_Hd3 zenon_H2ad. % 1.44/1.61 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.44/1.61 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.44/1.61 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.61 apply (zenon_L823_); trivial. % 1.44/1.61 apply (zenon_L1512_); trivial. % 1.44/1.61 (* end of lemma zenon_L1515_ *) % 1.44/1.61 assert (zenon_L1516_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(hskp1)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp1))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> False). % 1.44/1.61 do 0 intro. intros zenon_H197 zenon_H1bf zenon_H2ad zenon_H299 zenon_H298 zenon_H297 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H66 zenon_H229 zenon_Hb1 zenon_Hf9 zenon_H174 zenon_H304 zenon_H305 zenon_H306 zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H287 zenon_H123 zenon_H30 zenon_H1eb zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H28d zenon_H104 zenon_H237 zenon_H22c zenon_H22b zenon_H285 zenon_H24f zenon_H8a zenon_H12c zenon_H8e zenon_H13b zenon_H198. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.61 apply (zenon_L349_); trivial. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.61 apply (zenon_L1425_); trivial. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.61 apply (zenon_L1379_); trivial. % 1.44/1.61 apply (zenon_L1462_); trivial. % 1.44/1.61 apply (zenon_L322_); trivial. % 1.44/1.61 (* end of lemma zenon_L1516_ *) % 1.44/1.61 assert (zenon_L1517_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (c0_1 (a598)) -> (c3_1 (a598)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (~(c1_1 (a598))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.44/1.61 do 0 intro. intros zenon_H137 zenon_H8e zenon_H12c zenon_H6a zenon_H8a zenon_Hc0 zenon_H24f zenon_H5f zenon_H62 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1c3 zenon_H285 zenon_H297 zenon_H298 zenon_H299 zenon_H15f zenon_H160 zenon_H54 zenon_H90 zenon_H91 zenon_H92 zenon_H15e zenon_H106 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.61 apply (zenon_L1379_); trivial. % 1.44/1.61 apply (zenon_L842_); trivial. % 1.44/1.61 (* end of lemma zenon_L1517_ *) % 1.44/1.61 assert (zenon_L1518_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/(hskp23))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.44/1.61 do 0 intro. intros zenon_H194 zenon_H1e1 zenon_H13b zenon_H24f zenon_H106 zenon_H222 zenon_H42 zenon_H299 zenon_H298 zenon_H297 zenon_H54 zenon_H1c3 zenon_Hcc zenon_Hcb zenon_Hca zenon_H155 zenon_H107 zenon_H5f zenon_H62 zenon_Hc0 zenon_H6a zenon_H159 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H306 zenon_H305 zenon_H304 zenon_H30 zenon_H274 zenon_H278 zenon_H277 zenon_H276 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H28d zenon_H285 zenon_H15e zenon_H15f zenon_H160 zenon_H85 zenon_H8a zenon_H12c zenon_H8e. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.61 apply (zenon_L1498_); trivial. % 1.44/1.61 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.44/1.61 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.44/1.61 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.61 apply (zenon_L1379_); trivial. % 1.44/1.61 apply (zenon_L838_); trivial. % 1.44/1.61 apply (zenon_L1517_); trivial. % 1.44/1.61 (* end of lemma zenon_L1518_ *) % 1.44/1.61 assert (zenon_L1519_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> False). % 1.44/1.61 do 0 intro. intros zenon_H197 zenon_H198 zenon_H8e zenon_H12c zenon_H8a zenon_Hc0 zenon_H24f zenon_H1a zenon_H1c zenon_H1c3 zenon_H1ba zenon_H229 zenon_H285 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H297 zenon_H298 zenon_H299 zenon_H2ad. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.61 apply (zenon_L349_); trivial. % 1.44/1.61 apply (zenon_L1504_); trivial. % 1.44/1.61 (* end of lemma zenon_L1519_ *) % 1.44/1.61 assert (zenon_L1520_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.44/1.61 do 0 intro. intros zenon_H197 zenon_H8e zenon_H12c zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H285 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.61 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.61 apply (zenon_L1379_); trivial. % 1.44/1.61 apply (zenon_L860_); trivial. % 1.44/1.61 (* end of lemma zenon_L1520_ *) % 1.44/1.61 assert (zenon_L1521_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((hskp26)\/(hskp11)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.44/1.61 do 0 intro. intros zenon_H19b zenon_H8e zenon_H12c zenon_H8a zenon_H24f zenon_H22b zenon_H285 zenon_H28d zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H5 zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H22c zenon_H237 zenon_H1a zenon_H1c zenon_Hc0 zenon_H66. % 1.44/1.61 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.61 apply (zenon_L656_); trivial. % 1.44/1.61 apply (zenon_L1520_); trivial. % 1.44/1.61 (* end of lemma zenon_L1521_ *) % 1.44/1.61 assert (zenon_L1522_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((hskp26)\/(hskp11)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.44/1.62 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H8e zenon_H12c zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H285 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H31 zenon_H5 zenon_H5f zenon_H62 zenon_H66 zenon_H6a. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.62 apply (zenon_L106_); trivial. % 1.44/1.62 apply (zenon_L1520_); trivial. % 1.44/1.62 (* end of lemma zenon_L1522_ *) % 1.44/1.62 assert (zenon_L1523_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((hskp26)\/(hskp11)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c0_1 (a590))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> False). % 1.44/1.62 do 0 intro. intros zenon_H209 zenon_H31 zenon_H5f zenon_H62 zenon_H6a zenon_H66 zenon_Hc0 zenon_H1c zenon_H237 zenon_H22c zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3 zenon_H5 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H306 zenon_H305 zenon_H304 zenon_H30 zenon_H274 zenon_H278 zenon_H277 zenon_H276 zenon_H28d zenon_H285 zenon_H22b zenon_H24f zenon_H8a zenon_H12c zenon_H8e zenon_H19b. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.44/1.62 apply (zenon_L1521_); trivial. % 1.44/1.62 apply (zenon_L1522_); trivial. % 1.44/1.62 (* end of lemma zenon_L1523_ *) % 1.44/1.62 assert (zenon_L1524_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> False). % 1.44/1.62 do 0 intro. intros zenon_H197 zenon_H8e zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H123 zenon_H306 zenon_H305 zenon_H304 zenon_H142 zenon_H8 zenon_H144. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.62 apply (zenon_L1318_); trivial. % 1.44/1.62 apply (zenon_L886_); trivial. % 1.44/1.62 (* end of lemma zenon_L1524_ *) % 1.44/1.62 assert (zenon_L1525_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((hskp26)\/(hskp11)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> (ndr1_0) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((hskp10)\/(hskp7))) -> False). % 1.44/1.62 do 0 intro. intros zenon_H209 zenon_H19b zenon_H8e zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H123 zenon_H142 zenon_H144 zenon_H31 zenon_H5 zenon_H5f zenon_H62 zenon_H66 zenon_H6a zenon_Hf zenon_H304 zenon_H305 zenon_H306 zenon_H8 zenon_H30d. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.44/1.62 apply (zenon_L1316_); trivial. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.62 apply (zenon_L106_); trivial. % 1.44/1.62 apply (zenon_L1524_); trivial. % 1.44/1.62 (* end of lemma zenon_L1525_ *) % 1.44/1.62 assert (zenon_L1526_ : ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((hskp10)\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (ndr1_0) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((hskp26)\/(hskp11)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp2)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> False). % 1.44/1.62 do 0 intro. intros zenon_H1a0 zenon_H181 zenon_H17f zenon_H15a zenon_H30d zenon_H8 zenon_H306 zenon_H305 zenon_H304 zenon_Hf zenon_H6a zenon_H66 zenon_H62 zenon_H5 zenon_H31 zenon_H144 zenon_H142 zenon_H123 zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H8e zenon_H19b zenon_H209. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.44/1.62 apply (zenon_L1525_); trivial. % 1.44/1.62 apply (zenon_L128_); trivial. % 1.44/1.62 (* end of lemma zenon_L1526_ *) % 1.44/1.62 assert (zenon_L1527_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> (~(hskp9)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (~(hskp4)) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> False). % 1.44/1.62 do 0 intro. intros zenon_H197 zenon_H1bf zenon_H13b zenon_H1e0 zenon_H208 zenon_H15a zenon_H5f zenon_H1d2 zenon_H304 zenon_H305 zenon_H306 zenon_H1c zenon_H287 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H1c3 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1e5 zenon_H17f zenon_H1a zenon_H174 zenon_Hc0. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.44/1.62 apply (zenon_L898_); trivial. % 1.44/1.62 apply (zenon_L1337_); trivial. % 1.44/1.62 (* end of lemma zenon_L1527_ *) % 1.44/1.62 assert (zenon_L1528_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> (~(hskp9)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((hskp26)\/(hskp11)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> False). % 1.44/1.62 do 0 intro. intros zenon_H19b zenon_H13b zenon_H1e0 zenon_H208 zenon_H15a zenon_H5f zenon_H1d2 zenon_H304 zenon_H305 zenon_H306 zenon_H287 zenon_H1c8 zenon_H142 zenon_H1c3 zenon_H1e5 zenon_H17f zenon_H66 zenon_H174 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H5 zenon_H1b5 zenon_H40 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H1ba zenon_H1a zenon_H1c zenon_Hc0 zenon_H12c zenon_H1bf. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.62 apply (zenon_L902_); trivial. % 1.44/1.62 apply (zenon_L1527_); trivial. % 1.44/1.62 (* end of lemma zenon_L1528_ *) % 1.44/1.62 assert (zenon_L1529_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (~(hskp16)) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> (~(hskp17)) -> (~(hskp3)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (ndr1_0) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> False). % 1.44/1.62 do 0 intro. intros zenon_H12c zenon_H159 zenon_Hc0 zenon_H155 zenon_H107 zenon_Hfb zenon_Hd8 zenon_Hd7 zenon_H46 zenon_H174 zenon_H1c3 zenon_Hcc zenon_Hcb zenon_Hca zenon_H142 zenon_H1c8 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H18d zenon_Ha zenon_H15a zenon_H222 zenon_H42 zenon_H160 zenon_H15e zenon_H15f zenon_H1eb zenon_Hf zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H40 zenon_H1b5. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.44/1.62 apply (zenon_L135_); trivial. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H146 | zenon_intro zenon_H154 ]. % 1.44/1.62 apply (zenon_L889_); trivial. % 1.44/1.62 apply (zenon_L1096_); trivial. % 1.44/1.62 (* end of lemma zenon_L1529_ *) % 1.44/1.62 assert (zenon_L1530_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> False). % 1.44/1.62 do 0 intro. intros zenon_H8b zenon_H30 zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H304 zenon_H305 zenon_H306 zenon_H1e7 zenon_H83 zenon_H1ac zenon_H1a5 zenon_Hfb zenon_H287. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.44/1.62 apply (zenon_L1343_); trivial. % 1.44/1.62 apply (zenon_L907_); trivial. % 1.44/1.62 (* end of lemma zenon_L1530_ *) % 1.44/1.62 assert (zenon_L1531_ : ((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp17)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(hskp12)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c0_1 (a611)) -> (c1_1 (a611)) -> (c3_1 (a611)) -> False). % 1.44/1.62 do 0 intro. intros zenon_Hbc zenon_H24f zenon_Ha zenon_Hca zenon_Hcb zenon_H304 zenon_H305 zenon_H306 zenon_H123 zenon_H46 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H7a zenon_H7b zenon_H7c. % 1.44/1.62 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.44/1.62 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.44/1.62 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.44/1.62 apply (zenon_L1317_); trivial. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.44/1.62 apply (zenon_L913_); trivial. % 1.44/1.62 apply (zenon_L31_); trivial. % 1.44/1.62 (* end of lemma zenon_L1531_ *) % 1.44/1.62 assert (zenon_L1532_ : ((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> False). % 1.44/1.62 do 0 intro. intros zenon_H87 zenon_Hc0 zenon_H24f zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H46 zenon_H174 zenon_Ha zenon_H123 zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H304 zenon_H305 zenon_H306 zenon_H1ba zenon_Hd8 zenon_Hd7 zenon_H114 zenon_H10c zenon_H10b zenon_H229. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.44/1.62 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.44/1.62 apply (zenon_L1409_); trivial. % 1.44/1.62 apply (zenon_L1531_); trivial. % 1.44/1.62 (* end of lemma zenon_L1532_ *) % 1.44/1.62 assert (zenon_L1533_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> (ndr1_0) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> False). % 1.44/1.62 do 0 intro. intros zenon_H12c zenon_H8a zenon_H24f zenon_Ha zenon_H123 zenon_H304 zenon_H305 zenon_H306 zenon_H1ba zenon_Hd8 zenon_Hd7 zenon_H229 zenon_H1c8 zenon_H142 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1c3 zenon_H285 zenon_H12f zenon_H130 zenon_H12e zenon_H174 zenon_H46 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H104 zenon_Hc0 zenon_Hf zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H40 zenon_H1b5. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.44/1.62 apply (zenon_L135_); trivial. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.44/1.62 apply (zenon_L1098_); trivial. % 1.44/1.62 apply (zenon_L1532_); trivial. % 1.44/1.62 (* end of lemma zenon_L1533_ *) % 1.44/1.62 assert (zenon_L1534_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (~(hskp15)) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.44/1.62 do 0 intro. intros zenon_H137 zenon_H8e zenon_H85 zenon_H83 zenon_H160 zenon_H15f zenon_H15e zenon_H28d zenon_H1eb zenon_H30 zenon_H1b5 zenon_H40 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_Hc0 zenon_H104 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H46 zenon_H174 zenon_H285 zenon_H1c3 zenon_Hcc zenon_Hcb zenon_Hca zenon_H142 zenon_H1c8 zenon_H229 zenon_Hd7 zenon_Hd8 zenon_H1ba zenon_H306 zenon_H305 zenon_H304 zenon_H123 zenon_H24f zenon_H8a zenon_H12c. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.62 apply (zenon_L1533_); trivial. % 1.44/1.62 apply (zenon_L1099_); trivial. % 1.44/1.62 (* end of lemma zenon_L1534_ *) % 1.44/1.62 assert (zenon_L1535_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.44/1.62 do 0 intro. intros zenon_H137 zenon_H8e zenon_H1d2 zenon_H5f zenon_H28d zenon_H1eb zenon_H30 zenon_H1e0 zenon_H1b5 zenon_H40 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_Hc0 zenon_H104 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H46 zenon_H174 zenon_H285 zenon_H1c3 zenon_Hcc zenon_Hcb zenon_Hca zenon_H142 zenon_H1c8 zenon_H229 zenon_Hd7 zenon_Hd8 zenon_H1ba zenon_H306 zenon_H305 zenon_H304 zenon_H123 zenon_H24f zenon_H8a zenon_H12c. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.62 apply (zenon_L1533_); trivial. % 1.44/1.62 apply (zenon_L919_); trivial. % 1.44/1.62 (* end of lemma zenon_L1535_ *) % 1.44/1.62 assert (zenon_L1536_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(hskp11)) -> ((hskp26)\/(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.44/1.62 do 0 intro. intros zenon_H8b zenon_H12c zenon_H66 zenon_Hc0 zenon_H1c zenon_H1a zenon_H6c zenon_H6d zenon_H6e zenon_H1ba zenon_H3 zenon_H5 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.44/1.62 apply (zenon_L1008_); trivial. % 1.44/1.62 apply (zenon_L139_); trivial. % 1.44/1.62 (* end of lemma zenon_L1536_ *) % 1.44/1.62 assert (zenon_L1537_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> ((hskp26)\/(hskp11)) -> (~(hskp11)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.44/1.62 do 0 intro. intros zenon_H1bf zenon_H8e zenon_H12c zenon_Hc0 zenon_H1c zenon_H1a zenon_H1ba zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H1eb zenon_H30 zenon_H184 zenon_H185 zenon_H186 zenon_H15a zenon_H18d zenon_H5 zenon_H3 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H66. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.44/1.62 apply (zenon_L893_); trivial. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.62 apply (zenon_L120_); trivial. % 1.44/1.62 apply (zenon_L1536_); trivial. % 1.44/1.62 (* end of lemma zenon_L1537_ *) % 1.44/1.62 assert (zenon_L1538_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/((hskp3)\/(hskp4))) -> (~(hskp9)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((hskp26)\/(hskp11)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> (~(hskp3)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> False). % 1.44/1.62 do 0 intro. intros zenon_H19b zenon_H13b zenon_H1e0 zenon_H208 zenon_H5f zenon_H1d2 zenon_H304 zenon_H305 zenon_H306 zenon_H287 zenon_H1c3 zenon_H1e5 zenon_H17f zenon_H66 zenon_H174 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H5 zenon_H18d zenon_H15a zenon_H186 zenon_H185 zenon_H184 zenon_H30 zenon_H1eb zenon_H28d zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_H142 zenon_H1c8 zenon_H1ba zenon_H1a zenon_H1c zenon_Hc0 zenon_H12c zenon_H8e zenon_H1bf. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.62 apply (zenon_L1537_); trivial. % 1.44/1.62 apply (zenon_L1527_); trivial. % 1.44/1.62 (* end of lemma zenon_L1538_ *) % 1.44/1.62 assert (zenon_L1539_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (ndr1_0) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> False). % 1.44/1.62 do 0 intro. intros zenon_H8e zenon_H30 zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H304 zenon_H305 zenon_H306 zenon_H1e7 zenon_H83 zenon_H1ac zenon_H1a5 zenon_Hfb zenon_H287 zenon_Hf zenon_H184 zenon_H185 zenon_H186 zenon_H15a zenon_H18d. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.62 apply (zenon_L120_); trivial. % 1.44/1.62 apply (zenon_L1530_); trivial. % 1.44/1.62 (* end of lemma zenon_L1539_ *) % 1.44/1.62 assert (zenon_L1540_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a592))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> (~(hskp3)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> (ndr1_0) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.44/1.62 do 0 intro. intros zenon_H13b zenon_H12c zenon_H8a zenon_H24f zenon_Hca zenon_Hcb zenon_Hcc zenon_H1c3 zenon_H285 zenon_H174 zenon_H46 zenon_H104 zenon_Hc0 zenon_H1d2 zenon_H5f zenon_H1c8 zenon_H142 zenon_H1a3 zenon_H28d zenon_H1e0 zenon_H18d zenon_H15a zenon_H186 zenon_H185 zenon_H184 zenon_Hf zenon_H287 zenon_H1a5 zenon_H1ac zenon_H83 zenon_H1e7 zenon_H306 zenon_H305 zenon_H304 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H8e. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.62 apply (zenon_L1539_); trivial. % 1.44/1.62 apply (zenon_L920_); trivial. % 1.44/1.62 (* end of lemma zenon_L1540_ *) % 1.44/1.62 assert (zenon_L1541_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (~(hskp16)) -> (~(hskp27)) -> (~(hskp8)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (ndr1_0) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> False). % 1.44/1.62 do 0 intro. intros zenon_Hc0 zenon_H174 zenon_H46 zenon_H107 zenon_Hfb zenon_H75 zenon_H40 zenon_H77 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_Hf zenon_H304 zenon_H305 zenon_H306 zenon_H1ba zenon_Hd8 zenon_Hd7 zenon_H114 zenon_H10c zenon_H10b zenon_H229. % 1.44/1.62 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.44/1.62 apply (zenon_L1409_); trivial. % 1.44/1.62 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.44/1.62 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.44/1.62 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H167 | zenon_intro zenon_H175 ]. % 1.44/1.62 apply (zenon_L864_); trivial. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H10 | zenon_intro zenon_H47 ]. % 1.44/1.62 apply (zenon_L111_); trivial. % 1.44/1.62 exact (zenon_H46 zenon_H47). % 1.44/1.62 (* end of lemma zenon_L1541_ *) % 1.44/1.62 assert (zenon_L1542_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> (ndr1_0) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> False). % 1.44/1.62 do 0 intro. intros zenon_H12c zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_Ha zenon_H123 zenon_H229 zenon_Hd7 zenon_Hd8 zenon_H1ba zenon_H306 zenon_H305 zenon_H304 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1c3 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H77 zenon_Hfb zenon_H107 zenon_H46 zenon_H174 zenon_Hc0 zenon_Hf zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H40 zenon_H1b5. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.44/1.62 apply (zenon_L135_); trivial. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.44/1.62 apply (zenon_L1541_); trivial. % 1.44/1.62 apply (zenon_L1347_); trivial. % 1.44/1.62 (* end of lemma zenon_L1542_ *) % 1.44/1.62 assert (zenon_L1543_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> (~(hskp3)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp3))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.44/1.62 do 0 intro. intros zenon_H194 zenon_H13b zenon_H1d2 zenon_H5f zenon_H28d zenon_H1eb zenon_H30 zenon_H1e0 zenon_H104 zenon_H285 zenon_H142 zenon_H1c8 zenon_H12c zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H123 zenon_H229 zenon_H1ba zenon_H306 zenon_H305 zenon_H304 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1c3 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H77 zenon_H107 zenon_H46 zenon_H174 zenon_Hc0 zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H40 zenon_H1b5 zenon_H15a zenon_H15c zenon_H8e. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.62 apply (zenon_L1542_); trivial. % 1.44/1.62 apply (zenon_L101_); trivial. % 1.44/1.62 apply (zenon_L1535_); trivial. % 1.44/1.62 (* end of lemma zenon_L1543_ *) % 1.44/1.62 assert (zenon_L1544_ : ((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp8)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.44/1.62 do 0 intro. intros zenon_H1bc zenon_H198 zenon_H8e zenon_H15c zenon_H15a zenon_H77 zenon_H123 zenon_H306 zenon_H305 zenon_H304 zenon_H22b zenon_H22c zenon_H237 zenon_H24f zenon_H8a zenon_Hd5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H40 zenon_H255 zenon_H6a. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.62 apply (zenon_L899_); trivial. % 1.44/1.62 apply (zenon_L1349_); trivial. % 1.44/1.62 (* end of lemma zenon_L1544_ *) % 1.44/1.62 assert (zenon_L1545_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> False). % 1.44/1.62 do 0 intro. intros zenon_H137 zenon_H8e zenon_H12c zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H155 zenon_H6e zenon_H6d zenon_H6c zenon_Hcc zenon_Hcb zenon_Hca zenon_H285 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H184 zenon_H185 zenon_H186 zenon_H15a zenon_H18d. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.62 apply (zenon_L120_); trivial. % 1.44/1.62 apply (zenon_L1051_); trivial. % 1.44/1.62 (* end of lemma zenon_L1545_ *) % 1.44/1.62 assert (zenon_L1546_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a592))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> (~(hskp3)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((hskp26)\/(hskp11)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.44/1.62 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H1bf zenon_H155 zenon_H13b zenon_H12c zenon_H8a zenon_H24f zenon_H1c3 zenon_H285 zenon_H174 zenon_H104 zenon_Hc0 zenon_H1d2 zenon_H1c8 zenon_H142 zenon_H1a3 zenon_H28d zenon_H1e0 zenon_H18d zenon_H15a zenon_H186 zenon_H185 zenon_H184 zenon_H287 zenon_H1a5 zenon_H1ac zenon_H1e7 zenon_H306 zenon_H305 zenon_H304 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H8e zenon_H207 zenon_H203 zenon_H1f6 zenon_H125 zenon_H106 zenon_H22b zenon_H22c zenon_H237 zenon_H1e1 zenon_H31 zenon_H5 zenon_H5f zenon_H62 zenon_H66 zenon_H6a. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.62 apply (zenon_L106_); trivial. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.62 apply (zenon_L1540_); trivial. % 1.44/1.62 apply (zenon_L958_); trivial. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.62 apply (zenon_L1539_); trivial. % 1.44/1.62 apply (zenon_L1545_); trivial. % 1.44/1.62 apply (zenon_L958_); trivial. % 1.44/1.62 (* end of lemma zenon_L1546_ *) % 1.44/1.62 assert (zenon_L1547_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (ndr1_0) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp8)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.44/1.62 do 0 intro. intros zenon_H198 zenon_H8e zenon_H1c8 zenon_H142 zenon_H28d zenon_H1eb zenon_H30 zenon_H1b5 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H229 zenon_H1ba zenon_H306 zenon_H305 zenon_H304 zenon_H1c3 zenon_H123 zenon_H174 zenon_H46 zenon_H24f zenon_Hc0 zenon_H8a zenon_H12c zenon_Hd5 zenon_Hcc zenon_Hcb zenon_Hca zenon_Hf zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H40 zenon_H255 zenon_H6a. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.62 apply (zenon_L899_); trivial. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.44/1.62 apply (zenon_L135_); trivial. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.44/1.62 apply (zenon_L278_); trivial. % 1.44/1.62 apply (zenon_L1532_); trivial. % 1.44/1.62 apply (zenon_L1076_); trivial. % 1.44/1.62 (* end of lemma zenon_L1547_ *) % 1.44/1.62 assert (zenon_L1548_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (ndr1_0) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> False). % 1.44/1.62 do 0 intro. intros zenon_H8e zenon_H12c zenon_H8a zenon_Hc0 zenon_H24f zenon_H46 zenon_H174 zenon_H1c3 zenon_Hcc zenon_Hcb zenon_Hca zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_Hf zenon_H184 zenon_H185 zenon_H186 zenon_H15a zenon_H18d. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.62 apply (zenon_L120_); trivial. % 1.44/1.62 apply (zenon_L1076_); trivial. % 1.44/1.62 (* end of lemma zenon_L1548_ *) % 1.44/1.62 assert (zenon_L1549_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a600))) -> (c0_1 (a600)) -> (c2_1 (a600)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> False). % 1.44/1.62 do 0 intro. intros zenon_H8b zenon_H12c zenon_H8a zenon_Hc0 zenon_H24f zenon_H1a zenon_H1c zenon_Hca zenon_Hcb zenon_Hcc zenon_H274 zenon_H6c zenon_H6d zenon_H6e zenon_H1ba zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.44/1.62 apply (zenon_L1008_); trivial. % 1.44/1.62 apply (zenon_L555_); trivial. % 1.44/1.62 (* end of lemma zenon_L1549_ *) % 1.44/1.62 assert (zenon_L1550_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> ((hskp26)\/(hskp11)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> False). % 1.44/1.62 do 0 intro. intros zenon_H209 zenon_H159 zenon_H155 zenon_H222 zenon_H42 zenon_H31 zenon_H5f zenon_H62 zenon_H6a zenon_H1bf zenon_H8e zenon_H12c zenon_Hc0 zenon_H1c zenon_H1ba zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H1eb zenon_H30 zenon_H184 zenon_H185 zenon_H186 zenon_H15a zenon_H18d zenon_H5 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H66 zenon_H8a zenon_H24f zenon_H1c3 zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H274 zenon_H19b. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.62 apply (zenon_L1537_); trivial. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.44/1.62 apply (zenon_L1548_); trivial. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.62 apply (zenon_L120_); trivial. % 1.44/1.62 apply (zenon_L1549_); trivial. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.62 apply (zenon_L106_); trivial. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.44/1.62 apply (zenon_L1548_); trivial. % 1.44/1.62 apply (zenon_L922_); trivial. % 1.44/1.62 (* end of lemma zenon_L1550_ *) % 1.44/1.62 assert (zenon_L1551_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.44/1.62 do 0 intro. intros zenon_H197 zenon_H8e zenon_H274 zenon_H1c8 zenon_H142 zenon_H28d zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H1b5 zenon_H40 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H123 zenon_H306 zenon_H305 zenon_H304 zenon_H22b zenon_H22c zenon_H237 zenon_H24f zenon_H8a zenon_H12c. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.62 apply (zenon_L1372_); trivial. % 1.44/1.62 apply (zenon_L1082_); trivial. % 1.44/1.62 (* end of lemma zenon_L1551_ *) % 1.44/1.62 assert (zenon_L1552_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> ((hskp26)\/(hskp11)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> False). % 1.44/1.62 do 0 intro. intros zenon_H209 zenon_H31 zenon_H5f zenon_H62 zenon_H6a zenon_H1bf zenon_H12c zenon_Hc0 zenon_H1c zenon_H1ba zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H40 zenon_H1b5 zenon_H5 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H66 zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H304 zenon_H305 zenon_H306 zenon_H123 zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H30 zenon_H1eb zenon_H28d zenon_H142 zenon_H1c8 zenon_H274 zenon_H8e zenon_H19b. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.62 apply (zenon_L902_); trivial. % 1.44/1.62 apply (zenon_L1551_); trivial. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.62 apply (zenon_L106_); trivial. % 1.44/1.62 apply (zenon_L1551_); trivial. % 1.44/1.62 (* end of lemma zenon_L1552_ *) % 1.44/1.62 assert (zenon_L1553_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> False). % 1.44/1.62 do 0 intro. intros zenon_H197 zenon_H8e zenon_H12c zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H274 zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H184 zenon_H185 zenon_H186 zenon_H15a zenon_H18d. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.62 apply (zenon_L120_); trivial. % 1.44/1.62 apply (zenon_L1082_); trivial. % 1.44/1.62 (* end of lemma zenon_L1553_ *) % 1.44/1.62 assert (zenon_L1554_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c2_1 (a593))) -> (c1_1 (a593)) -> (c3_1 (a593)) -> (~(hskp3)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> ((hskp26)\/(hskp11)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> False). % 1.44/1.62 do 0 intro. intros zenon_H209 zenon_H31 zenon_H5f zenon_H62 zenon_H6a zenon_H1bf zenon_H8e zenon_H12c zenon_Hc0 zenon_H1c zenon_H1ba zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H1eb zenon_H30 zenon_H184 zenon_H185 zenon_H186 zenon_H15a zenon_H18d zenon_H5 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H66 zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H274 zenon_H22b zenon_H22c zenon_H237 zenon_H24f zenon_H8a zenon_H19b. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.62 apply (zenon_L1537_); trivial. % 1.44/1.62 apply (zenon_L1553_); trivial. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.62 apply (zenon_L106_); trivial. % 1.44/1.62 apply (zenon_L1553_); trivial. % 1.44/1.62 (* end of lemma zenon_L1554_ *) % 1.44/1.62 assert (zenon_L1555_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> (~(hskp8)) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> (~(hskp6)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(hskp9)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> False). % 1.44/1.62 do 0 intro. intros zenon_H197 zenon_H1bf zenon_H6a zenon_H255 zenon_H40 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_Hd5 zenon_H159 zenon_Hc0 zenon_H155 zenon_H107 zenon_H174 zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_H142 zenon_H1c8 zenon_H297 zenon_H298 zenon_H299 zenon_H42 zenon_H222 zenon_H12c zenon_H8a zenon_H24f zenon_H123 zenon_H304 zenon_H305 zenon_H306 zenon_H1ba zenon_H229 zenon_H285 zenon_H104 zenon_H1b5 zenon_H1e0 zenon_H30 zenon_H1eb zenon_H28d zenon_H5f zenon_H1d2 zenon_H8e zenon_H13b zenon_H198. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.62 apply (zenon_L899_); trivial. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.62 apply (zenon_L1097_); trivial. % 1.44/1.62 apply (zenon_L1535_); trivial. % 1.44/1.62 apply (zenon_L337_); trivial. % 1.44/1.62 (* end of lemma zenon_L1555_ *) % 1.44/1.62 assert (zenon_L1556_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((hskp14)\/(hskp23))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c1_1 X35)\/((c3_1 X35)\/(~(c0_1 X35))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/((hskp27)\/(hskp8))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(hskp9)) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> False). % 1.44/1.62 do 0 intro. intros zenon_H197 zenon_H1bf zenon_Hd5 zenon_H255 zenon_H6a zenon_H2ad zenon_H299 zenon_H298 zenon_H297 zenon_H1ac zenon_H1a5 zenon_H1a3 zenon_H8e zenon_H15c zenon_H15a zenon_H1b5 zenon_H40 zenon_Hc0 zenon_H174 zenon_H107 zenon_H77 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H1c3 zenon_H304 zenon_H305 zenon_H306 zenon_H1ba zenon_H229 zenon_H123 zenon_H22b zenon_H22c zenon_H237 zenon_H24f zenon_H8a zenon_H12c zenon_H1c8 zenon_H142 zenon_H285 zenon_H104 zenon_H1e0 zenon_H30 zenon_H1eb zenon_H28d zenon_H5f zenon_H1d2 zenon_H13b zenon_H198. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.62 apply (zenon_L349_); trivial. % 1.44/1.62 apply (zenon_L1543_); trivial. % 1.44/1.62 apply (zenon_L1544_); trivial. % 1.44/1.62 (* end of lemma zenon_L1556_ *) % 1.44/1.62 assert (zenon_L1557_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.44/1.62 do 0 intro. intros zenon_H197 zenon_H8e zenon_H144 zenon_H8 zenon_H142 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.62 apply (zenon_L1379_); trivial. % 1.44/1.62 apply (zenon_L886_); trivial. % 1.44/1.62 (* end of lemma zenon_L1557_ *) % 1.44/1.62 assert (zenon_L1558_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp2)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((hskp26)\/(hskp11)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> (ndr1_0) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(hskp7)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((hskp10)\/(hskp7))) -> False). % 1.44/1.62 do 0 intro. intros zenon_H209 zenon_H19b zenon_H8e zenon_H144 zenon_H142 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H31 zenon_H5 zenon_H5f zenon_H62 zenon_H66 zenon_H6a zenon_Hf zenon_H304 zenon_H305 zenon_H306 zenon_H8 zenon_H30d. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.44/1.62 apply (zenon_L1316_); trivial. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.62 apply (zenon_L106_); trivial. % 1.44/1.62 apply (zenon_L1557_); trivial. % 1.44/1.62 (* end of lemma zenon_L1558_ *) % 1.44/1.62 assert (zenon_L1559_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> False). % 1.44/1.62 do 0 intro. intros zenon_H8b zenon_H303 zenon_H229 zenon_H306 zenon_H305 zenon_H304 zenon_H178 zenon_H177 zenon_H176 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H2f5 zenon_H3 zenon_H160 zenon_H15e zenon_H15f zenon_H1eb. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H303); [ zenon_intro zenon_H2f3 | zenon_intro zenon_H300 ]. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H167 | zenon_intro zenon_H1ec ]. % 1.44/1.62 apply (zenon_L864_); trivial. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H18f ]. % 1.44/1.62 apply (zenon_L20_); trivial. % 1.44/1.62 apply (zenon_L942_); trivial. % 1.44/1.62 apply (zenon_L1324_); trivial. % 1.44/1.62 (* end of lemma zenon_L1559_ *) % 1.44/1.62 assert (zenon_L1560_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (ndr1_0) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.44/1.62 do 0 intro. intros zenon_H8e zenon_H303 zenon_H229 zenon_H178 zenon_H177 zenon_H176 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H2f5 zenon_H3 zenon_H160 zenon_H15e zenon_H15f zenon_H1eb zenon_Hf zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.62 apply (zenon_L1379_); trivial. % 1.44/1.62 apply (zenon_L1559_); trivial. % 1.44/1.62 (* end of lemma zenon_L1560_ *) % 1.44/1.62 assert (zenon_L1561_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((hskp26)\/(hskp11)) -> (~(hskp11)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.44/1.62 do 0 intro. intros zenon_H1bf zenon_H8e zenon_H12c zenon_Hc0 zenon_H1c zenon_H1a zenon_H1ba zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H1eb zenon_H30 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H5 zenon_H3 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H66. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.44/1.62 apply (zenon_L893_); trivial. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.62 apply (zenon_L1379_); trivial. % 1.44/1.62 apply (zenon_L1536_); trivial. % 1.44/1.62 (* end of lemma zenon_L1561_ *) % 1.44/1.62 assert (zenon_L1562_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((hskp26)\/(hskp11)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> False). % 1.44/1.62 do 0 intro. intros zenon_H19b zenon_H13b zenon_H8a zenon_H24f zenon_H155 zenon_H285 zenon_H287 zenon_H1c3 zenon_H1e5 zenon_H17f zenon_H66 zenon_H174 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H5 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H306 zenon_H305 zenon_H304 zenon_H30 zenon_H1eb zenon_H28d zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_H142 zenon_H1c8 zenon_H1ba zenon_H1a zenon_H1c zenon_Hc0 zenon_H12c zenon_H8e zenon_H1bf. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.62 apply (zenon_L1561_); trivial. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.62 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.44/1.62 apply (zenon_L898_); trivial. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.44/1.62 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.63 apply (zenon_L1336_); trivial. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.63 apply (zenon_L1379_); trivial. % 1.44/1.63 apply (zenon_L1017_); trivial. % 1.44/1.63 (* end of lemma zenon_L1562_ *) % 1.44/1.63 assert (zenon_L1563_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> (c2_1 (a592)) -> (~(c3_1 (a592))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (ndr1_0) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.44/1.63 do 0 intro. intros zenon_H8e zenon_H30 zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H1e7 zenon_H83 zenon_H1ac zenon_H1a5 zenon_Hfb zenon_H287 zenon_Hf zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.63 apply (zenon_L1379_); trivial. % 1.44/1.63 apply (zenon_L1530_); trivial. % 1.44/1.63 (* end of lemma zenon_L1563_ *) % 1.44/1.63 assert (zenon_L1564_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a604)) -> (c1_1 (a604)) -> (~(c0_1 (a604))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (c3_1 (a598)) -> (c0_1 (a598)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (ndr1_0) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.44/1.63 do 0 intro. intros zenon_H8e zenon_H207 zenon_H203 zenon_Hfb zenon_H92 zenon_H91 zenon_H90 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1f6 zenon_H125 zenon_H160 zenon_H15f zenon_H1eb zenon_Hf zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.63 apply (zenon_L1379_); trivial. % 1.44/1.63 apply (zenon_L910_); trivial. % 1.44/1.63 (* end of lemma zenon_L1564_ *) % 1.44/1.63 assert (zenon_L1565_ : ((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.44/1.63 do 0 intro. intros zenon_H1bc zenon_H8e zenon_H159 zenon_H155 zenon_Hcc zenon_Hcb zenon_Hca zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H222 zenon_H42 zenon_H160 zenon_H15e zenon_H15f zenon_H1eb zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.63 apply (zenon_L1379_); trivial. % 1.44/1.63 apply (zenon_L891_); trivial. % 1.44/1.63 (* end of lemma zenon_L1565_ *) % 1.44/1.63 assert (zenon_L1566_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> (c3_1 (a598)) -> (c0_1 (a598)) -> (~(c1_1 (a598))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a592))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> False). % 1.44/1.63 do 0 intro. intros zenon_H197 zenon_H1bf zenon_H159 zenon_H155 zenon_H222 zenon_H42 zenon_H13b zenon_H12c zenon_H8a zenon_H85 zenon_H160 zenon_H15f zenon_H15e zenon_H1c3 zenon_H285 zenon_H174 zenon_H104 zenon_Hc0 zenon_H1c8 zenon_H142 zenon_H1a3 zenon_H28d zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H306 zenon_H305 zenon_H304 zenon_H287 zenon_H1a5 zenon_H1ac zenon_H1e7 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H8e zenon_H207 zenon_H203 zenon_H1f6 zenon_H125 zenon_H106 zenon_H24f zenon_H1e1. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.63 apply (zenon_L1563_); trivial. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.63 apply (zenon_L1379_); trivial. % 1.44/1.63 apply (zenon_L1099_); trivial. % 1.44/1.63 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.44/1.63 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.44/1.63 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.63 apply (zenon_L1564_); trivial. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.63 apply (zenon_L1379_); trivial. % 1.44/1.63 apply (zenon_L1023_); trivial. % 1.44/1.63 apply (zenon_L1565_); trivial. % 1.44/1.63 (* end of lemma zenon_L1566_ *) % 1.44/1.63 assert (zenon_L1567_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.44/1.63 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H1c8 zenon_H142 zenon_H22b zenon_H22c zenon_H237 zenon_H104 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H306 zenon_H305 zenon_H304 zenon_H1eb zenon_H2f5 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H176 zenon_H177 zenon_H178 zenon_H229 zenon_H303 zenon_H8e. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.63 apply (zenon_L1560_); trivial. % 1.44/1.63 apply (zenon_L243_); trivial. % 1.44/1.63 (* end of lemma zenon_L1567_ *) % 1.44/1.63 assert (zenon_L1568_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.44/1.63 do 0 intro. intros zenon_H137 zenon_H8e zenon_H12c zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H155 zenon_H6e zenon_H6d zenon_H6c zenon_Hcc zenon_Hcb zenon_Hca zenon_H285 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.63 apply (zenon_L1379_); trivial. % 1.44/1.63 apply (zenon_L1051_); trivial. % 1.44/1.63 (* end of lemma zenon_L1568_ *) % 1.44/1.63 assert (zenon_L1569_ : ((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> False). % 1.44/1.63 do 0 intro. intros zenon_H1bc zenon_H13b zenon_H8e zenon_H12c zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H155 zenon_H285 zenon_H28d zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H1c8 zenon_H142 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H1c3 zenon_H304 zenon_H305 zenon_H306 zenon_H1c zenon_H1a zenon_H287 zenon_Hc0. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.63 apply (zenon_L1336_); trivial. % 1.44/1.63 apply (zenon_L1568_); trivial. % 1.44/1.63 (* end of lemma zenon_L1569_ *) % 1.44/1.63 assert (zenon_L1570_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.44/1.63 do 0 intro. intros zenon_H137 zenon_H8e zenon_H12c zenon_H8a zenon_H24f zenon_Hca zenon_Hcb zenon_Hcc zenon_H1c3 zenon_H285 zenon_H174 zenon_H46 zenon_H104 zenon_Hc0 zenon_H1d2 zenon_H5f zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H1e0 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.63 apply (zenon_L1379_); trivial. % 1.44/1.63 apply (zenon_L919_); trivial. % 1.44/1.63 (* end of lemma zenon_L1570_ *) % 1.44/1.63 assert (zenon_L1571_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.44/1.63 do 0 intro. intros zenon_H137 zenon_H8e zenon_H12c zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_Hca zenon_Hcb zenon_Hcc zenon_H285 zenon_H90 zenon_H91 zenon_H92 zenon_H160 zenon_H15e zenon_H15f zenon_H106 zenon_H1d2 zenon_H5f zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H1e0 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.63 apply (zenon_L1379_); trivial. % 1.44/1.63 apply (zenon_L956_); trivial. % 1.44/1.63 (* end of lemma zenon_L1571_ *) % 1.44/1.63 assert (zenon_L1572_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c1_1 (a598))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.44/1.63 do 0 intro. intros zenon_Hc6 zenon_H13b zenon_H12c zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_Hca zenon_Hcb zenon_Hcc zenon_H285 zenon_H15e zenon_H106 zenon_H1d2 zenon_H5f zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H30 zenon_H1e0 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H306 zenon_H305 zenon_H304 zenon_H1eb zenon_H15f zenon_H160 zenon_H125 zenon_H1f6 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H203 zenon_H207 zenon_H8e. % 1.44/1.63 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.44/1.63 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.44/1.63 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.63 apply (zenon_L1564_); trivial. % 1.44/1.63 apply (zenon_L1571_); trivial. % 1.44/1.63 (* end of lemma zenon_L1572_ *) % 1.44/1.63 assert (zenon_L1573_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a592))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((hskp26)\/(hskp11)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.44/1.63 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H1bf zenon_H155 zenon_H13b zenon_H12c zenon_H8a zenon_H24f zenon_H1c3 zenon_H285 zenon_H174 zenon_H104 zenon_Hc0 zenon_H1d2 zenon_H1c8 zenon_H142 zenon_H1a3 zenon_H28d zenon_H1e0 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H306 zenon_H305 zenon_H304 zenon_H287 zenon_H1a5 zenon_H1ac zenon_H1e7 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H8e zenon_H207 zenon_H203 zenon_H1f6 zenon_H125 zenon_H106 zenon_H22b zenon_H22c zenon_H237 zenon_H1e1 zenon_H31 zenon_H5 zenon_H5f zenon_H62 zenon_H66 zenon_H6a. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.63 apply (zenon_L106_); trivial. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.63 apply (zenon_L1563_); trivial. % 1.44/1.63 apply (zenon_L1570_); trivial. % 1.44/1.63 apply (zenon_L1572_); trivial. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.63 apply (zenon_L1563_); trivial. % 1.44/1.63 apply (zenon_L1568_); trivial. % 1.44/1.63 apply (zenon_L1572_); trivial. % 1.44/1.63 (* end of lemma zenon_L1573_ *) % 1.44/1.63 assert (zenon_L1574_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.44/1.63 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H144 zenon_H8 zenon_H142 zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H306 zenon_H305 zenon_H304 zenon_H1eb zenon_H2f5 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H176 zenon_H177 zenon_H178 zenon_H229 zenon_H303 zenon_H8e. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.63 apply (zenon_L1560_); trivial. % 1.44/1.63 apply (zenon_L1408_); trivial. % 1.44/1.63 (* end of lemma zenon_L1574_ *) % 1.44/1.63 assert (zenon_L1575_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (ndr1_0) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.44/1.63 do 0 intro. intros zenon_H8e zenon_H12c zenon_H8a zenon_Hc0 zenon_H24f zenon_H46 zenon_H174 zenon_H1c3 zenon_Hcc zenon_Hcb zenon_Hca zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_Hf zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.63 apply (zenon_L1379_); trivial. % 1.44/1.63 apply (zenon_L1076_); trivial. % 1.44/1.63 (* end of lemma zenon_L1575_ *) % 1.44/1.63 assert (zenon_L1576_ : ((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.44/1.63 do 0 intro. intros zenon_H1bc zenon_H8e zenon_H12c zenon_H8a zenon_Hc0 zenon_H24f zenon_H1a zenon_H1c zenon_Hca zenon_Hcb zenon_Hcc zenon_H274 zenon_H1ba zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.63 apply (zenon_L1379_); trivial. % 1.44/1.63 apply (zenon_L1549_); trivial. % 1.44/1.63 (* end of lemma zenon_L1576_ *) % 1.44/1.63 assert (zenon_L1577_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((hskp26)\/(hskp11)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> False). % 1.44/1.63 do 0 intro. intros zenon_H19b zenon_H274 zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H1c3 zenon_H24f zenon_H8a zenon_H66 zenon_H174 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H5 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H306 zenon_H305 zenon_H304 zenon_H30 zenon_H1eb zenon_H28d zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_H142 zenon_H1c8 zenon_H1ba zenon_H1a zenon_H1c zenon_Hc0 zenon_H12c zenon_H8e zenon_H1bf. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.63 apply (zenon_L1561_); trivial. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.44/1.63 apply (zenon_L1575_); trivial. % 1.44/1.63 apply (zenon_L1576_); trivial. % 1.44/1.63 (* end of lemma zenon_L1577_ *) % 1.44/1.63 assert (zenon_L1578_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((hskp26)\/(hskp11)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> False). % 1.44/1.63 do 0 intro. intros zenon_H209 zenon_H159 zenon_H155 zenon_H222 zenon_H42 zenon_H31 zenon_H5f zenon_H62 zenon_H6a zenon_H1bf zenon_H8e zenon_H12c zenon_Hc0 zenon_H1c zenon_H1ba zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H1eb zenon_H30 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H5 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H66 zenon_H8a zenon_H24f zenon_H1c3 zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H274 zenon_H19b. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.44/1.63 apply (zenon_L1577_); trivial. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.63 apply (zenon_L106_); trivial. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.44/1.63 apply (zenon_L1575_); trivial. % 1.44/1.63 apply (zenon_L1565_); trivial. % 1.44/1.63 (* end of lemma zenon_L1578_ *) % 1.44/1.63 assert (zenon_L1579_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.44/1.63 do 0 intro. intros zenon_Hc6 zenon_H8e zenon_H1c8 zenon_H142 zenon_H274 zenon_H160 zenon_H15e zenon_H15f zenon_H278 zenon_H277 zenon_H276 zenon_H106 zenon_H178 zenon_H177 zenon_H176 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.44/1.63 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.44/1.63 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.44/1.63 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.63 apply (zenon_L1379_); trivial. % 1.44/1.63 apply (zenon_L1080_); trivial. % 1.44/1.63 (* end of lemma zenon_L1579_ *) % 1.44/1.63 assert (zenon_L1580_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6))))))\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.44/1.63 do 0 intro. intros zenon_H1e2 zenon_H1e1 zenon_H274 zenon_H106 zenon_H178 zenon_H177 zenon_H176 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H306 zenon_H305 zenon_H304 zenon_H30 zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H28d zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_H142 zenon_H1c8 zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H85 zenon_H8a zenon_H12c zenon_H8e. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.63 apply (zenon_L1379_); trivial. % 1.44/1.63 apply (zenon_L1078_); trivial. % 1.44/1.63 apply (zenon_L1579_); trivial. % 1.44/1.63 (* end of lemma zenon_L1580_ *) % 1.44/1.63 assert (zenon_L1581_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.44/1.63 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H1c8 zenon_H142 zenon_H22b zenon_H22c zenon_H237 zenon_H104 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H306 zenon_H305 zenon_H304 zenon_H2f5 zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H176 zenon_H177 zenon_H178 zenon_H229 zenon_H303 zenon_H8e. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.63 apply (zenon_L1407_); trivial. % 1.44/1.63 apply (zenon_L243_); trivial. % 1.44/1.63 (* end of lemma zenon_L1581_ *) % 1.44/1.63 assert (zenon_L1582_ : ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((hskp10)\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (ndr1_0) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((hskp26)\/(hskp11)) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (~(hskp2)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp2)\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> False). % 1.44/1.63 do 0 intro. intros zenon_H1a0 zenon_H1c8 zenon_H22b zenon_H22c zenon_H237 zenon_H104 zenon_H2f5 zenon_H229 zenon_H303 zenon_H30d zenon_H8 zenon_H306 zenon_H305 zenon_H304 zenon_Hf zenon_H6a zenon_H66 zenon_H62 zenon_H5 zenon_H31 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H274 zenon_H278 zenon_H277 zenon_H276 zenon_H142 zenon_H144 zenon_H8e zenon_H19b zenon_H209. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.44/1.63 apply (zenon_L1431_); trivial. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.44/1.63 apply (zenon_L1316_); trivial. % 1.44/1.63 apply (zenon_L1581_); trivial. % 1.44/1.63 (* end of lemma zenon_L1582_ *) % 1.44/1.63 assert (zenon_L1583_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.44/1.63 do 0 intro. intros zenon_H197 zenon_H8e zenon_H12c zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H274 zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.63 apply (zenon_L1379_); trivial. % 1.44/1.63 apply (zenon_L1082_); trivial. % 1.44/1.63 (* end of lemma zenon_L1583_ *) % 1.44/1.63 assert (zenon_L1584_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((hskp26)\/(hskp11)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> False). % 1.44/1.63 do 0 intro. intros zenon_H19b zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H274 zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H66 zenon_H174 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H5 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H306 zenon_H305 zenon_H304 zenon_H30 zenon_H1eb zenon_H28d zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_H142 zenon_H1c8 zenon_H1ba zenon_H1a zenon_H1c zenon_Hc0 zenon_H12c zenon_H8e zenon_H1bf. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.63 apply (zenon_L1561_); trivial. % 1.44/1.63 apply (zenon_L1583_); trivial. % 1.44/1.63 (* end of lemma zenon_L1584_ *) % 1.44/1.63 assert (zenon_L1585_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((hskp26)\/(hskp11)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> False). % 1.44/1.63 do 0 intro. intros zenon_H209 zenon_H31 zenon_H5f zenon_H62 zenon_H6a zenon_H1bf zenon_H8e zenon_H12c zenon_Hc0 zenon_H1c zenon_H1ba zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H1eb zenon_H30 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H5 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H66 zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H274 zenon_H22b zenon_H22c zenon_H237 zenon_H24f zenon_H8a zenon_H19b. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.44/1.63 apply (zenon_L1584_); trivial. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.63 apply (zenon_L106_); trivial. % 1.44/1.63 apply (zenon_L1583_); trivial. % 1.44/1.63 (* end of lemma zenon_L1585_ *) % 1.44/1.63 assert (zenon_L1586_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (ndr1_0) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (~(c3_1 (a603))) -> (~(c1_1 (a603))) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> False). % 1.44/1.63 do 0 intro. intros zenon_H66 zenon_H174 zenon_H46 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_Hf zenon_H304 zenon_H305 zenon_H306 zenon_H140 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_Hd7 zenon_He4 zenon_Hfb zenon_H287. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.44/1.63 apply (zenon_L1373_); trivial. % 1.44/1.63 apply (zenon_L871_); trivial. % 1.44/1.63 (* end of lemma zenon_L1586_ *) % 1.44/1.63 assert (zenon_L1587_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.44/1.63 do 0 intro. intros zenon_H194 zenon_H13b zenon_H8e zenon_H12c zenon_H8a zenon_H24f zenon_Hca zenon_Hcb zenon_Hcc zenon_H1c3 zenon_H285 zenon_H104 zenon_Hc0 zenon_H1d2 zenon_H5f zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H1eb zenon_H30 zenon_H1e0 zenon_H123 zenon_H287 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H306 zenon_H305 zenon_H304 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H46 zenon_H174 zenon_H66. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.63 apply (zenon_L1586_); trivial. % 1.44/1.63 apply (zenon_L1570_); trivial. % 1.44/1.63 (* end of lemma zenon_L1587_ *) % 1.44/1.63 assert (zenon_L1588_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(c3_1 X12)))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp26))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> (ndr1_0) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c2_1 (a592)) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> False). % 1.44/1.63 do 0 intro. intros zenon_H198 zenon_H13b zenon_H8e zenon_H12c zenon_H8a zenon_H24f zenon_Hca zenon_Hcb zenon_Hcc zenon_H1c3 zenon_H285 zenon_H104 zenon_Hc0 zenon_H1d2 zenon_H5f zenon_H1c8 zenon_H142 zenon_H28d zenon_H1eb zenon_H30 zenon_H1e0 zenon_H123 zenon_H287 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H140 zenon_H306 zenon_H305 zenon_H304 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H46 zenon_H174 zenon_H66 zenon_Hf zenon_H1a3 zenon_H1a5 zenon_H1ac zenon_H297 zenon_H298 zenon_H299 zenon_H2ad. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.63 apply (zenon_L349_); trivial. % 1.44/1.63 apply (zenon_L1587_); trivial. % 1.44/1.63 (* end of lemma zenon_L1588_ *) % 1.44/1.63 assert (zenon_L1589_ : ((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c1_1 (a651))) -> (~(c3_1 (a651))) -> (c2_1 (a651)) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> False). % 1.44/1.63 do 0 intro. intros zenon_H87 zenon_Hc0 zenon_H24f zenon_H1a zenon_H1c zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H4b zenon_H4c zenon_H4d zenon_H1eb zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_Hcc zenon_Hcb zenon_Hca zenon_H1d4 zenon_H1d5 zenon_H1d6 zenon_H142 zenon_H1c8. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.44/1.63 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.44/1.63 apply (zenon_L447_); trivial. % 1.44/1.63 apply (zenon_L1016_); trivial. % 1.44/1.63 (* end of lemma zenon_L1589_ *) % 1.44/1.63 assert (zenon_L1590_ : ((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(c1_1 (a607))) -> (~(c2_1 (a607))) -> (c3_1 (a607)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a592)) -> (~(c0_1 (a592))) -> (~(c3_1 (a592))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(c0_1 (a610))) -> (~(c2_1 (a610))) -> (c3_1 (a610)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> False). % 1.44/1.63 do 0 intro. intros zenon_H1dd zenon_H8a zenon_Hc0 zenon_H24f zenon_H1a zenon_H1c zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H4b zenon_H4c zenon_H4d zenon_H1eb zenon_H1c3 zenon_H1ac zenon_H1a3 zenon_H1a5 zenon_H142 zenon_H1c8 zenon_H10b zenon_H10c zenon_H114 zenon_H155 zenon_H6e zenon_H6d zenon_H6c zenon_Hcc zenon_Hcb zenon_Hca zenon_H12f zenon_H130 zenon_H12e zenon_H285. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_Hf. zenon_intro zenon_H1de. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d6. zenon_intro zenon_H1df. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.44/1.63 apply (zenon_L456_); trivial. % 1.44/1.63 apply (zenon_L1589_); trivial. % 1.44/1.63 (* end of lemma zenon_L1590_ *) % 1.44/1.63 assert (zenon_L1591_ : ((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X86 : zenon_U, ((ndr1_0)->((c2_1 X86)\/((c3_1 X86)\/(~(c1_1 X86))))))\/((hskp25)\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> (~(c2_1 (a606))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp2))) -> (~(hskp2)) -> (~(c3_1 (a592))) -> (~(c0_1 (a592))) -> (c2_1 (a592)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a651))/\((~(c1_1 (a651)))/\(~(c3_1 (a651))))))) -> False). % 1.44/1.63 do 0 intro. intros zenon_H8b zenon_H12c zenon_H8a zenon_Hc0 zenon_H24f zenon_H1a zenon_H1c zenon_H1c3 zenon_H155 zenon_H6e zenon_H6d zenon_H6c zenon_Hcc zenon_Hcb zenon_Hca zenon_H285 zenon_H1d2 zenon_H5f zenon_H130 zenon_H12f zenon_H12e zenon_H1c8 zenon_H142 zenon_H1a5 zenon_H1a3 zenon_H1ac zenon_H28d zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H1e0. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.44/1.63 apply (zenon_L912_); trivial. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ]. % 1.44/1.63 apply (zenon_L156_); trivial. % 1.44/1.63 apply (zenon_L1590_); trivial. % 1.44/1.63 (* end of lemma zenon_L1591_ *) % 1.44/1.63 assert (zenon_L1592_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (ndr1_0) -> (~(hskp28)) -> False). % 1.44/1.63 do 0 intro. intros zenon_H229 zenon_H178 zenon_H177 zenon_H176 zenon_H306 zenon_H305 zenon_H304 zenon_H1ba zenon_H114 zenon_H10c zenon_H10b zenon_Hd8 zenon_Hd7 zenon_Hf zenon_Had. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H22a ]. % 1.44/1.63 apply (zenon_L116_); trivial. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H10a | zenon_intro zenon_He0 ]. % 1.44/1.63 apply (zenon_L1315_); trivial. % 1.44/1.63 apply (zenon_L1332_); trivial. % 1.44/1.63 (* end of lemma zenon_L1592_ *) % 1.44/1.63 assert (zenon_L1593_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(c2_1 (a606))) -> (c1_1 (a606)) -> (~(c3_1 (a606))) -> (~(hskp27)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (ndr1_0) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (c3_1 (a610)) -> (~(c2_1 (a610))) -> (~(c0_1 (a610))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> False). % 1.44/1.63 do 0 intro. intros zenon_Hc0 zenon_H104 zenon_Hcc zenon_Hcb zenon_Hca zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H46 zenon_H174 zenon_H12e zenon_H130 zenon_H12f zenon_H75 zenon_H285 zenon_Hf zenon_H176 zenon_H177 zenon_H178 zenon_H304 zenon_H305 zenon_H306 zenon_H1ba zenon_Hd8 zenon_Hd7 zenon_H114 zenon_H10c zenon_H10b zenon_H229. % 1.44/1.63 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.44/1.63 apply (zenon_L1592_); trivial. % 1.44/1.63 apply (zenon_L914_); trivial. % 1.44/1.63 (* end of lemma zenon_L1593_ *) % 1.44/1.63 assert (zenon_L1594_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> (~(c3_1 (a586))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(hskp3)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((hskp26)\/(hskp11)) -> (~(hskp11)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.44/1.63 do 0 intro. intros zenon_H1bf zenon_H8e zenon_H28d zenon_H1eb zenon_H30 zenon_H1b5 zenon_H40 zenon_H2c8 zenon_H2c9 zenon_H2ca zenon_H15a zenon_H2d6 zenon_H1ba zenon_H1a zenon_H1c zenon_Hc0 zenon_H12c zenon_H5 zenon_H3 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H66. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.44/1.63 apply (zenon_L893_); trivial. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.63 apply (zenon_L628_); trivial. % 1.44/1.63 apply (zenon_L1130_); trivial. % 1.44/1.63 (* end of lemma zenon_L1594_ *) % 1.44/1.63 assert (zenon_L1595_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((hskp26)\/(hskp11)) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> (~(hskp3)) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(c3_1 (a586))) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> False). % 1.44/1.63 do 0 intro. intros zenon_H19b zenon_H1e1 zenon_H13b zenon_H8a zenon_H24f zenon_H285 zenon_H104 zenon_H203 zenon_H155 zenon_H1e7 zenon_H1c3 zenon_H1e5 zenon_H17f zenon_H66 zenon_H174 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H5 zenon_H12c zenon_Hc0 zenon_H1c zenon_H1a zenon_H1ba zenon_H2d6 zenon_H15a zenon_H2ca zenon_H2c9 zenon_H2c8 zenon_H40 zenon_H1b5 zenon_H30 zenon_H1eb zenon_H28d zenon_H8e zenon_H1bf. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.63 apply (zenon_L1594_); trivial. % 1.44/1.63 apply (zenon_L1135_); trivial. % 1.44/1.63 (* end of lemma zenon_L1595_ *) % 1.44/1.63 assert (zenon_L1596_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (ndr1_0) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> (~(hskp3)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> (~(hskp16)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> False). % 1.44/1.63 do 0 intro. intros zenon_H8e zenon_H30 zenon_H1eb zenon_H83 zenon_H1e7 zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hcc zenon_Hcb zenon_Hca zenon_Hf zenon_H2d6 zenon_H15a zenon_H174 zenon_H46 zenon_Hd7 zenon_Hd8 zenon_Hfb zenon_H107 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H155 zenon_Hc0. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.63 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.44/1.63 apply (zenon_L630_); trivial. % 1.44/1.63 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.44/1.63 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.44/1.63 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14a | zenon_intro zenon_H158 ]. % 1.44/1.63 apply (zenon_L637_); trivial. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H6b ]. % 1.44/1.63 apply (zenon_L51_); trivial. % 1.44/1.63 apply (zenon_L1095_); trivial. % 1.44/1.63 apply (zenon_L1120_); trivial. % 1.44/1.63 (* end of lemma zenon_L1596_ *) % 1.44/1.63 assert (zenon_L1597_ : ((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> False). % 1.44/1.63 do 0 intro. intros zenon_H87 zenon_Hc0 zenon_H24f zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H46 zenon_H174 zenon_H304 zenon_H305 zenon_H306 zenon_Ha zenon_H123 zenon_Hca zenon_Hcb zenon_Hcc zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.44/1.63 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.44/1.63 apply (zenon_L630_); trivial. % 1.44/1.63 apply (zenon_L1531_); trivial. % 1.44/1.63 (* end of lemma zenon_L1597_ *) % 1.44/1.63 assert (zenon_L1598_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> (~(hskp17)) -> (~(hskp3)) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> False). % 1.44/1.63 do 0 intro. intros zenon_H12c zenon_H8a zenon_H24f zenon_H304 zenon_H305 zenon_H306 zenon_H123 zenon_H1c3 zenon_Hcc zenon_Hcb zenon_Hca zenon_H285 zenon_H12f zenon_H130 zenon_H12e zenon_H174 zenon_H46 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H104 zenon_Hc0 zenon_H2d6 zenon_Ha zenon_H15a zenon_H2ca zenon_H2c9 zenon_H2c8 zenon_Hf zenon_H40 zenon_H1b5. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.44/1.63 apply (zenon_L623_); trivial. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.44/1.63 apply (zenon_L1227_); trivial. % 1.44/1.63 apply (zenon_L1597_); trivial. % 1.44/1.63 (* end of lemma zenon_L1598_ *) % 1.44/1.63 assert (zenon_L1599_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp3)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.44/1.63 do 0 intro. intros zenon_H13b zenon_H1b5 zenon_H40 zenon_H104 zenon_H285 zenon_H123 zenon_H306 zenon_H305 zenon_H304 zenon_H24f zenon_H8a zenon_H12c zenon_Hc0 zenon_H155 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H107 zenon_Hd8 zenon_Hd7 zenon_H46 zenon_H174 zenon_H15a zenon_H2d6 zenon_Hf zenon_Hca zenon_Hcb zenon_Hcc zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3 zenon_H1e7 zenon_H83 zenon_H1eb zenon_H30 zenon_H8e. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.63 apply (zenon_L1596_); trivial. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.63 apply (zenon_L1598_); trivial. % 1.44/1.63 apply (zenon_L1120_); trivial. % 1.44/1.63 (* end of lemma zenon_L1599_ *) % 1.44/1.63 assert (zenon_L1600_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c3_1 (a606))) -> (c1_1 (a606)) -> (~(c2_1 (a606))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> (~(hskp17)) -> (~(hskp3)) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> False). % 1.44/1.63 do 0 intro. intros zenon_H12c zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H304 zenon_H305 zenon_H306 zenon_H123 zenon_H1c3 zenon_Hcc zenon_Hcb zenon_Hca zenon_H285 zenon_H12f zenon_H130 zenon_H12e zenon_H174 zenon_H46 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H104 zenon_Hc0 zenon_H2d6 zenon_Ha zenon_H15a zenon_H2ca zenon_H2c9 zenon_H2c8 zenon_Hf zenon_H40 zenon_H1b5. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.44/1.63 apply (zenon_L623_); trivial. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.44/1.63 apply (zenon_L1227_); trivial. % 1.44/1.63 apply (zenon_L1347_); trivial. % 1.44/1.63 (* end of lemma zenon_L1600_ *) % 1.44/1.63 assert (zenon_L1601_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp3)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> (ndr1_0) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(hskp15)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.44/1.63 do 0 intro. intros zenon_H13b zenon_H1b5 zenon_H40 zenon_H104 zenon_H285 zenon_H123 zenon_H306 zenon_H305 zenon_H304 zenon_H22b zenon_H22c zenon_H237 zenon_H24f zenon_H8a zenon_H12c zenon_Hc0 zenon_H155 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H107 zenon_Hd8 zenon_Hd7 zenon_H46 zenon_H174 zenon_H15a zenon_H2d6 zenon_Hf zenon_Hca zenon_Hcb zenon_Hcc zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1c3 zenon_H1e7 zenon_H83 zenon_H1eb zenon_H30 zenon_H8e. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.63 apply (zenon_L1596_); trivial. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.63 apply (zenon_L1600_); trivial. % 1.44/1.63 apply (zenon_L1120_); trivial. % 1.44/1.63 (* end of lemma zenon_L1601_ *) % 1.44/1.63 assert (zenon_L1602_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> (~(c3_1 (a586))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(hskp3)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.44/1.63 do 0 intro. intros zenon_H137 zenon_H8e zenon_H90 zenon_H91 zenon_H92 zenon_H160 zenon_H15e zenon_H15f zenon_H106 zenon_H28d zenon_H1eb zenon_H30 zenon_H1b5 zenon_H40 zenon_H2c8 zenon_H2c9 zenon_H2ca zenon_H15a zenon_H2d6 zenon_Hc0 zenon_H104 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H46 zenon_H174 zenon_H285 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1c3 zenon_H123 zenon_H306 zenon_H305 zenon_H304 zenon_H22b zenon_H22c zenon_H237 zenon_H24f zenon_H8a zenon_H12c. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.63 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.63 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.63 apply (zenon_L1600_); trivial. % 1.44/1.63 apply (zenon_L1149_); trivial. % 1.44/1.63 (* end of lemma zenon_L1602_ *) % 1.44/1.63 assert (zenon_L1603_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> (~(hskp17)) -> (~(hskp3)) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> False). % 1.44/1.64 do 0 intro. intros zenon_H12c zenon_H8a zenon_Hc0 zenon_H24f zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H46 zenon_H174 zenon_H304 zenon_H305 zenon_H306 zenon_H123 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1c3 zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H2d6 zenon_Ha zenon_H15a zenon_H2ca zenon_H2c9 zenon_H2c8 zenon_Hf zenon_H40 zenon_H1b5. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.44/1.64 apply (zenon_L623_); trivial. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.44/1.64 apply (zenon_L278_); trivial. % 1.44/1.64 apply (zenon_L1597_); trivial. % 1.44/1.64 (* end of lemma zenon_L1603_ *) % 1.44/1.64 assert (zenon_L1604_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> (ndr1_0) -> (~(c3_1 (a586))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(hskp3)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> False). % 1.44/1.64 do 0 intro. intros zenon_H8e zenon_H28d zenon_H274 zenon_H30 zenon_H1b5 zenon_H40 zenon_Hf zenon_H2c8 zenon_H2c9 zenon_H2ca zenon_H15a zenon_H2d6 zenon_H285 zenon_H278 zenon_H277 zenon_H276 zenon_H1c3 zenon_Hcc zenon_Hcb zenon_Hca zenon_H123 zenon_H306 zenon_H305 zenon_H304 zenon_H174 zenon_H46 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H24f zenon_Hc0 zenon_H8a zenon_H12c. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.64 apply (zenon_L1603_); trivial. % 1.44/1.64 apply (zenon_L1160_); trivial. % 1.44/1.64 (* end of lemma zenon_L1604_ *) % 1.44/1.64 assert (zenon_L1605_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> (~(hskp3)) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(c3_1 (a586))) -> (~(hskp8)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.44/1.64 do 0 intro. intros zenon_H197 zenon_H1bf zenon_H1e1 zenon_H13b zenon_H237 zenon_H22c zenon_H22b zenon_H203 zenon_H155 zenon_H1e7 zenon_H1eb zenon_H12c zenon_H8a zenon_Hc0 zenon_H24f zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H304 zenon_H305 zenon_H306 zenon_H123 zenon_H1c3 zenon_H276 zenon_H277 zenon_H278 zenon_H285 zenon_H2d6 zenon_H15a zenon_H2ca zenon_H2c9 zenon_H2c8 zenon_H40 zenon_H1b5 zenon_H30 zenon_H274 zenon_H28d zenon_H8e. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.44/1.64 apply (zenon_L1604_); trivial. % 1.44/1.64 apply (zenon_L1155_); trivial. % 1.44/1.64 (* end of lemma zenon_L1605_ *) % 1.44/1.64 assert (zenon_L1606_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> (~(hskp3)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.44/1.64 do 0 intro. intros zenon_H197 zenon_H1bf zenon_H1e1 zenon_H13b zenon_H237 zenon_H22c zenon_H22b zenon_H203 zenon_H155 zenon_H2d6 zenon_H1e7 zenon_H1eb zenon_H18d zenon_H15a zenon_H186 zenon_H185 zenon_H184 zenon_H30 zenon_H274 zenon_H278 zenon_H277 zenon_H276 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H28d zenon_H285 zenon_H1c3 zenon_H174 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H24f zenon_Hc0 zenon_H8a zenon_H12c zenon_H8e. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.44/1.64 apply (zenon_L1161_); trivial. % 1.44/1.64 apply (zenon_L1155_); trivial. % 1.44/1.64 (* end of lemma zenon_L1606_ *) % 1.44/1.64 assert (zenon_L1607_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((hskp26)\/(hskp11)) -> ((forall X96 : zenon_U, ((ndr1_0)->((c2_1 X96)\/((~(c1_1 X96))\/(~(c3_1 X96))))))\/((hskp3)\/(hskp17))) -> (~(hskp3)) -> (c3_1 (a593)) -> (c1_1 (a593)) -> (~(c2_1 (a593))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> False). % 1.44/1.64 do 0 intro. intros zenon_H19b zenon_H1e1 zenon_H13b zenon_H237 zenon_H22c zenon_H22b zenon_H203 zenon_H155 zenon_H2d6 zenon_H1e7 zenon_H274 zenon_H278 zenon_H277 zenon_H276 zenon_H285 zenon_H1c3 zenon_H24f zenon_H8a zenon_H66 zenon_H174 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H5 zenon_H18d zenon_H15a zenon_H186 zenon_H185 zenon_H184 zenon_H30 zenon_H1eb zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H28d zenon_H1ba zenon_H1a zenon_H1c zenon_Hc0 zenon_H12c zenon_H8e zenon_H1bf. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.64 apply (zenon_L1131_); trivial. % 1.44/1.64 apply (zenon_L1606_); trivial. % 1.44/1.64 (* end of lemma zenon_L1607_ *) % 1.44/1.64 assert (zenon_L1608_ : ((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((hskp8)\/(hskp18))) -> (~(hskp8)) -> (~(hskp3)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> False). % 1.44/1.64 do 0 intro. intros zenon_Hc6 zenon_H13b zenon_H8e zenon_H160 zenon_H15e zenon_H15f zenon_H28d zenon_H1eb zenon_H30 zenon_H1b5 zenon_H40 zenon_H15a zenon_H2d6 zenon_H106 zenon_H299 zenon_H298 zenon_H297 zenon_H285 zenon_H123 zenon_H306 zenon_H305 zenon_H304 zenon_H24f zenon_H8a zenon_H12c zenon_H1c3 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_Hcc zenon_Hcb zenon_Hca zenon_H203 zenon_H174 zenon_H46 zenon_Hd7 zenon_Hd8 zenon_H107 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H155 zenon_Hc0. % 1.44/1.64 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.44/1.64 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.44/1.64 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.64 apply (zenon_L1174_); trivial. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.44/1.64 apply (zenon_L623_); trivial. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.44/1.64 apply (zenon_L589_); trivial. % 1.44/1.64 apply (zenon_L1597_); trivial. % 1.44/1.64 apply (zenon_L1139_); trivial. % 1.44/1.64 (* end of lemma zenon_L1608_ *) % 1.44/1.64 assert (zenon_L1609_ : ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(hskp17)) -> (~(hskp3)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))) -> (ndr1_0) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> False). % 1.44/1.64 do 0 intro. intros zenon_H155 zenon_Ha zenon_H15a zenon_H2c8 zenon_H2ca zenon_H2d6 zenon_Hcc zenon_Hcb zenon_Hca zenon_He0 zenon_Hf zenon_Hd7 zenon_Hd8. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14a | zenon_intro zenon_H158 ]. % 1.44/1.64 apply (zenon_L637_); trivial. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H6b ]. % 1.44/1.64 apply (zenon_L51_); trivial. % 1.44/1.64 apply (zenon_L56_); trivial. % 1.44/1.64 (* end of lemma zenon_L1609_ *) % 1.44/1.64 assert (zenon_L1610_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (~(hskp17)) -> (~(hskp3)) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (ndr1_0) -> (~(c3_1 (a603))) -> (c0_1 (a603)) -> False). % 1.44/1.64 do 0 intro. intros zenon_H229 zenon_H178 zenon_H177 zenon_H176 zenon_H306 zenon_H305 zenon_H304 zenon_H155 zenon_Ha zenon_H15a zenon_H2c8 zenon_H2ca zenon_H2d6 zenon_Hcc zenon_Hcb zenon_Hca zenon_Hf zenon_Hd7 zenon_Hd8. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H22a ]. % 1.44/1.64 apply (zenon_L116_); trivial. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H10a | zenon_intro zenon_He0 ]. % 1.44/1.64 apply (zenon_L1315_); trivial. % 1.44/1.64 apply (zenon_L1609_); trivial. % 1.44/1.64 (* end of lemma zenon_L1610_ *) % 1.44/1.64 assert (zenon_L1611_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (c2_1 (a586)) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (ndr1_0) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (~(hskp3)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> False). % 1.44/1.64 do 0 intro. intros zenon_H8e zenon_H30 zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H2c9 zenon_H83 zenon_H1e7 zenon_Hf zenon_H176 zenon_H177 zenon_H178 zenon_H304 zenon_H305 zenon_H306 zenon_H155 zenon_Hd8 zenon_Hd7 zenon_Hcc zenon_Hcb zenon_Hca zenon_H2c8 zenon_H2ca zenon_H15a zenon_H2d6 zenon_H229. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.64 apply (zenon_L1610_); trivial. % 1.44/1.64 apply (zenon_L1120_); trivial. % 1.44/1.64 (* end of lemma zenon_L1611_ *) % 1.44/1.64 assert (zenon_L1612_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c0_1 (a603)) -> (~(c3_1 (a603))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (~(hskp3)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> False). % 1.44/1.64 do 0 intro. intros zenon_H137 zenon_H8e zenon_H12c zenon_H8a zenon_H24f zenon_H1c3 zenon_H285 zenon_H1c zenon_H1a zenon_H104 zenon_Hc0 zenon_H28d zenon_H2c9 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H176 zenon_H177 zenon_H178 zenon_H304 zenon_H305 zenon_H306 zenon_H155 zenon_Hd8 zenon_Hd7 zenon_Hcc zenon_Hcb zenon_Hca zenon_H2c8 zenon_H2ca zenon_H15a zenon_H2d6 zenon_H229. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.64 apply (zenon_L1610_); trivial. % 1.44/1.64 apply (zenon_L1122_); trivial. % 1.44/1.64 (* end of lemma zenon_L1612_ *) % 1.44/1.64 assert (zenon_L1613_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(c3_1 (a595))) -> (~(c1_1 (a595))) -> (~(c0_1 (a595))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> (~(hskp3)) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(c3_1 (a586))) -> (ndr1_0) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> False). % 1.44/1.64 do 0 intro. intros zenon_H198 zenon_H174 zenon_H46 zenon_H107 zenon_H229 zenon_H155 zenon_H306 zenon_H305 zenon_H304 zenon_H178 zenon_H177 zenon_H176 zenon_H8e zenon_H30 zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H1e7 zenon_H2d6 zenon_H15a zenon_H2ca zenon_H2c9 zenon_H2c8 zenon_Hf zenon_H297 zenon_H298 zenon_H299 zenon_H2ad zenon_H203 zenon_H28d zenon_Hc0 zenon_H104 zenon_H1a zenon_H1c zenon_H285 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1c3 zenon_H24f zenon_H8a zenon_H12c zenon_H13b zenon_H1e1. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.64 apply (zenon_L1173_); trivial. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.64 apply (zenon_L1611_); trivial. % 1.44/1.64 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.44/1.64 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.44/1.64 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.64 apply (zenon_L1174_); trivial. % 1.44/1.64 apply (zenon_L1612_); trivial. % 1.44/1.64 (* end of lemma zenon_L1613_ *) % 1.44/1.64 assert (zenon_L1614_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> (c0_1 (a588)) -> (~(c2_1 (a588))) -> (~(c1_1 (a588))) -> (~(c3_1 (a586))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(hskp3)) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> False). % 1.44/1.64 do 0 intro. intros zenon_H197 zenon_H1bf zenon_H1e1 zenon_H13b zenon_H12c zenon_H8a zenon_H24f zenon_H1c3 zenon_H285 zenon_H1c zenon_H1a zenon_H104 zenon_Hc0 zenon_H28d zenon_H203 zenon_H2ad zenon_H299 zenon_H298 zenon_H297 zenon_H2c8 zenon_H2c9 zenon_H2ca zenon_H15a zenon_H2d6 zenon_H1e7 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H8e zenon_H176 zenon_H177 zenon_H178 zenon_H304 zenon_H305 zenon_H306 zenon_H155 zenon_H229 zenon_H107 zenon_H174 zenon_H198. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.44/1.64 apply (zenon_L1613_); trivial. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.64 apply (zenon_L1173_); trivial. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.64 apply (zenon_L1611_); trivial. % 1.44/1.64 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.44/1.64 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.44/1.64 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.64 apply (zenon_L643_); trivial. % 1.44/1.64 apply (zenon_L1612_); trivial. % 1.44/1.64 (* end of lemma zenon_L1614_ *) % 1.44/1.64 assert (zenon_L1615_ : ((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> (~(hskp3)) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> False). % 1.44/1.64 do 0 intro. intros zenon_H19c zenon_H209 zenon_H159 zenon_H222 zenon_H42 zenon_H106 zenon_H303 zenon_H229 zenon_H306 zenon_H305 zenon_H304 zenon_H297 zenon_H298 zenon_H299 zenon_H2f5 zenon_H198 zenon_H174 zenon_H107 zenon_H155 zenon_H8e zenon_H30 zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H1e7 zenon_H2d6 zenon_H15a zenon_H2ca zenon_H2c9 zenon_H2c8 zenon_H2ad zenon_H203 zenon_H28d zenon_Hc0 zenon_H104 zenon_H1c zenon_H285 zenon_H1c3 zenon_H24f zenon_H8a zenon_H12c zenon_H13b zenon_H1e1 zenon_H1bf zenon_H19b. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.64 apply (zenon_L1355_); trivial. % 1.44/1.64 apply (zenon_L1614_); trivial. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.64 apply (zenon_L1355_); trivial. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.64 apply (zenon_L1177_); trivial. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.64 apply (zenon_L1611_); trivial. % 1.44/1.64 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.44/1.64 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.44/1.64 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.64 apply (zenon_L1174_); trivial. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.64 apply (zenon_L1610_); trivial. % 1.44/1.64 apply (zenon_L1139_); trivial. % 1.44/1.64 apply (zenon_L1142_); trivial. % 1.44/1.64 (* end of lemma zenon_L1615_ *) % 1.44/1.64 assert (zenon_L1616_ : ((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/((hskp3)\/(hskp17))) -> (~(hskp3)) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> False). % 1.44/1.64 do 0 intro. intros zenon_H19c zenon_H209 zenon_H106 zenon_H303 zenon_H229 zenon_H306 zenon_H305 zenon_H304 zenon_H297 zenon_H298 zenon_H299 zenon_H2f5 zenon_H198 zenon_H174 zenon_H107 zenon_H155 zenon_H8e zenon_H30 zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H1e7 zenon_H2d6 zenon_H15a zenon_H2ca zenon_H2c9 zenon_H2c8 zenon_H2ad zenon_H203 zenon_H28d zenon_Hc0 zenon_H104 zenon_H1c zenon_H285 zenon_H1c3 zenon_H24f zenon_H8a zenon_H12c zenon_H13b zenon_H1e1 zenon_H22b zenon_H22c zenon_H237 zenon_H1bf zenon_H19b. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.64 apply (zenon_L1355_); trivial. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.44/1.64 apply (zenon_L1613_); trivial. % 1.44/1.64 apply (zenon_L1155_); trivial. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.44/1.64 apply (zenon_L1355_); trivial. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.44/1.64 apply (zenon_L1177_); trivial. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.64 apply (zenon_L1611_); trivial. % 1.44/1.64 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.44/1.64 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.44/1.64 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.64 apply (zenon_L1174_); trivial. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.64 apply (zenon_L1610_); trivial. % 1.44/1.64 apply (zenon_L1149_); trivial. % 1.44/1.64 apply (zenon_L1155_); trivial. % 1.44/1.64 (* end of lemma zenon_L1616_ *) % 1.44/1.64 assert (zenon_L1617_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((hskp26)\/(hskp11)) -> (~(hskp11)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.44/1.64 do 0 intro. intros zenon_H1bf zenon_H8e zenon_H12c zenon_Hc0 zenon_H1c zenon_H1a zenon_H1ba zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H1eb zenon_H30 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H5 zenon_H3 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H66. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.44/1.64 apply (zenon_L893_); trivial. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.64 apply (zenon_L1379_); trivial. % 1.44/1.64 apply (zenon_L1130_); trivial. % 1.44/1.64 (* end of lemma zenon_L1617_ *) % 1.44/1.64 assert (zenon_L1618_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> (~(hskp15)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (ndr1_0) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.44/1.64 do 0 intro. intros zenon_H8e zenon_H30 zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H83 zenon_H1e7 zenon_Hf zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.64 apply (zenon_L1379_); trivial. % 1.44/1.64 apply (zenon_L1120_); trivial. % 1.44/1.64 (* end of lemma zenon_L1618_ *) % 1.44/1.64 assert (zenon_L1619_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.44/1.64 do 0 intro. intros zenon_H137 zenon_H8e zenon_H12c zenon_H8a zenon_H24f zenon_H1c3 zenon_Hcc zenon_Hcb zenon_Hca zenon_H285 zenon_H1c zenon_H1a zenon_H104 zenon_Hc0 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.44/1.64 apply (zenon_L1379_); trivial. % 1.44/1.64 apply (zenon_L1122_); trivial. % 1.44/1.64 (* end of lemma zenon_L1619_ *) % 1.44/1.64 assert (zenon_L1620_ : ((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.44/1.64 do 0 intro. intros zenon_H1bc zenon_H1e1 zenon_H13b zenon_H12c zenon_H8a zenon_H24f zenon_H1c3 zenon_H285 zenon_H1c zenon_H1a zenon_H104 zenon_Hc0 zenon_H28d zenon_H203 zenon_Hca zenon_Hcb zenon_Hcc zenon_H155 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H306 zenon_H305 zenon_H304 zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H8e. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.44/1.64 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.44/1.64 apply (zenon_L1618_); trivial. % 1.44/1.64 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.44/1.64 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.44/1.64 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.44/1.64 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.44/1.64 apply (zenon_L643_); trivial. % 1.44/1.64 apply (zenon_L1619_); trivial. % 1.44/1.64 (* end of lemma zenon_L1620_ *) % 1.44/1.64 assert (zenon_L1621_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((hskp10)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((hskp26)\/(hskp11)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> False). % 1.44/1.64 do 0 intro. intros zenon_H19b zenon_H1e1 zenon_H13b zenon_H8a zenon_H24f zenon_H285 zenon_H104 zenon_H203 zenon_H155 zenon_H1e7 zenon_H1c3 zenon_H1e5 zenon_H17f zenon_H66 zenon_H174 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H5 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H306 zenon_H305 zenon_H304 zenon_H30 zenon_H1eb zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H28d zenon_H1ba zenon_H1a zenon_H1c zenon_Hc0 zenon_H12c zenon_H8e zenon_H1bf. % 1.55/1.64 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.64 apply (zenon_L1617_); trivial. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.64 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.64 apply (zenon_L1119_); trivial. % 1.55/1.64 apply (zenon_L1620_); trivial. % 1.55/1.64 (* end of lemma zenon_L1621_ *) % 1.55/1.64 assert (zenon_L1622_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c0_1 (a604))) -> (c1_1 (a604)) -> (c3_1 (a604)) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.55/1.64 do 0 intro. intros zenon_H137 zenon_H8e zenon_H12c zenon_H8a zenon_Hc0 zenon_H24f zenon_H46 zenon_H174 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1c3 zenon_H285 zenon_H90 zenon_H91 zenon_H92 zenon_H160 zenon_H15e zenon_H15f zenon_H106 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.64 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.64 apply (zenon_L1379_); trivial. % 1.55/1.64 apply (zenon_L1139_); trivial. % 1.55/1.64 (* end of lemma zenon_L1622_ *) % 1.55/1.64 assert (zenon_L1623_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (c3_1 (a598)) -> (c0_1 (a598)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (~(c1_1 (a598))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> False). % 1.55/1.64 do 0 intro. intros zenon_H197 zenon_H1bf zenon_H159 zenon_H155 zenon_H222 zenon_H42 zenon_H8e zenon_H30 zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1e7 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H207 zenon_H203 zenon_H1f6 zenon_H125 zenon_H160 zenon_H15f zenon_H28d zenon_H106 zenon_H15e zenon_H285 zenon_H1c3 zenon_H174 zenon_H24f zenon_Hc0 zenon_H8a zenon_H12c zenon_H13b zenon_H1e1. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.64 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.64 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.64 apply (zenon_L1618_); trivial. % 1.55/1.64 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.64 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.64 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.64 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.64 apply (zenon_L1564_); trivial. % 1.55/1.64 apply (zenon_L1622_); trivial. % 1.55/1.64 apply (zenon_L1565_); trivial. % 1.55/1.64 (* end of lemma zenon_L1623_ *) % 1.55/1.64 assert (zenon_L1624_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((hskp26)\/(hskp11)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.55/1.64 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H1bf zenon_H159 zenon_H155 zenon_H222 zenon_H42 zenon_H8e zenon_H30 zenon_H1eb zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1e7 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H207 zenon_H203 zenon_H1f6 zenon_H125 zenon_H28d zenon_H106 zenon_H285 zenon_H1c3 zenon_H174 zenon_H24f zenon_Hc0 zenon_H8a zenon_H12c zenon_H13b zenon_H1e1 zenon_H31 zenon_H5 zenon_H5f zenon_H62 zenon_H66 zenon_H6a. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.64 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.64 apply (zenon_L106_); trivial. % 1.55/1.64 apply (zenon_L1623_); trivial. % 1.55/1.64 (* end of lemma zenon_L1624_ *) % 1.55/1.64 assert (zenon_L1625_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.55/1.64 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H1bf zenon_H159 zenon_H155 zenon_H222 zenon_H42 zenon_H30 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H1e7 zenon_H207 zenon_H203 zenon_H1f6 zenon_H125 zenon_H28d zenon_H106 zenon_H285 zenon_H1c3 zenon_H174 zenon_H24f zenon_Hc0 zenon_H8a zenon_H12c zenon_H13b zenon_H1e1 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H306 zenon_H305 zenon_H304 zenon_H1eb zenon_H2f5 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H176 zenon_H177 zenon_H178 zenon_H229 zenon_H303 zenon_H8e. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.64 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.64 apply (zenon_L1560_); trivial. % 1.55/1.64 apply (zenon_L1623_); trivial. % 1.55/1.64 (* end of lemma zenon_L1625_ *) % 1.55/1.64 assert (zenon_L1626_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> (c2_1 (a600)) -> (c0_1 (a600)) -> (~(c3_1 (a600))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.55/1.64 do 0 intro. intros zenon_H137 zenon_H8e zenon_H12c zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H155 zenon_H6e zenon_H6d zenon_H6c zenon_Hcc zenon_Hcb zenon_Hca zenon_H285 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.64 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.64 apply (zenon_L1379_); trivial. % 1.55/1.64 apply (zenon_L1153_); trivial. % 1.55/1.64 (* end of lemma zenon_L1626_ *) % 1.55/1.64 assert (zenon_L1627_ : ((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.55/1.64 do 0 intro. intros zenon_H1bc zenon_H1e1 zenon_H13b zenon_H12c zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H285 zenon_H28d zenon_H203 zenon_Hca zenon_Hcb zenon_Hcc zenon_H155 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H306 zenon_H305 zenon_H304 zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H8e. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.64 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.64 apply (zenon_L1618_); trivial. % 1.55/1.64 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.64 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.64 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.64 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.64 apply (zenon_L643_); trivial. % 1.55/1.64 apply (zenon_L1626_); trivial. % 1.55/1.64 (* end of lemma zenon_L1627_ *) % 1.55/1.64 assert (zenon_L1628_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c1_1 (a598))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c0_1 (a598)) -> (c3_1 (a598)) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.55/1.64 do 0 intro. intros zenon_H197 zenon_H1e1 zenon_H13b zenon_H12c zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H285 zenon_H15e zenon_H106 zenon_H28d zenon_H15f zenon_H160 zenon_H125 zenon_H1f6 zenon_H203 zenon_H207 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H306 zenon_H305 zenon_H304 zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H8e. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.64 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.64 apply (zenon_L1618_); trivial. % 1.55/1.64 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.64 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.64 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.64 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.64 apply (zenon_L1564_); trivial. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.64 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.64 apply (zenon_L1379_); trivial. % 1.55/1.64 apply (zenon_L1149_); trivial. % 1.55/1.64 (* end of lemma zenon_L1628_ *) % 1.55/1.64 assert (zenon_L1629_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((hskp26)\/(hskp11)) -> (~(hskp9)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> False). % 1.55/1.64 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H1e1 zenon_H13b zenon_H12c zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H285 zenon_H106 zenon_H28d zenon_H125 zenon_H1f6 zenon_H203 zenon_H207 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H306 zenon_H305 zenon_H304 zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H8e zenon_H31 zenon_H5 zenon_H5f zenon_H62 zenon_H66 zenon_H6a. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.64 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.64 apply (zenon_L106_); trivial. % 1.55/1.64 apply (zenon_L1628_); trivial. % 1.55/1.64 (* end of lemma zenon_L1629_ *) % 1.55/1.64 assert (zenon_L1630_ : ((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.55/1.64 do 0 intro. intros zenon_H137 zenon_H8e zenon_H12c zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H1c3 zenon_Hcc zenon_Hcb zenon_Hca zenon_H285 zenon_H1c zenon_H1a zenon_H104 zenon_Hc0 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.64 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.64 apply (zenon_L1379_); trivial. % 1.55/1.64 apply (zenon_L1195_); trivial. % 1.55/1.64 (* end of lemma zenon_L1630_ *) % 1.55/1.64 assert (zenon_L1631_ : ((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18)))))))) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp5)\/(hskp24))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((c0_1 (a648))/\((c1_1 (a648))/\(~(c3_1 (a648))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((hskp26)\/(hskp11)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X2 : zenon_U, ((ndr1_0)->((c1_1 X2)\/((c3_1 X2)\/(~(c2_1 X2))))))\/(hskp16))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> (~(c0_1 (a590))) -> (c2_1 (a590)) -> (c3_1 (a590)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> False). % 1.55/1.64 do 0 intro. intros zenon_H19c zenon_H209 zenon_H1e1 zenon_H106 zenon_H125 zenon_H1f6 zenon_H203 zenon_H207 zenon_H1e7 zenon_H2f5 zenon_H229 zenon_H303 zenon_H1bf zenon_H8e zenon_H12c zenon_Hc0 zenon_H1c zenon_H1ba zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H1eb zenon_H30 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H5 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H66 zenon_H104 zenon_H287 zenon_H1c3 zenon_H285 zenon_H22b zenon_H22c zenon_H237 zenon_H24f zenon_H8a zenon_H13b zenon_H19b. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.64 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.64 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.64 apply (zenon_L1617_); trivial. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.64 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.64 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.55/1.64 apply (zenon_L630_); trivial. % 1.55/1.64 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.55/1.64 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.55/1.64 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.55/1.64 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H105 ]. % 1.55/1.64 apply (zenon_L1454_); trivial. % 1.55/1.64 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hec | zenon_intro zenon_Hc9 ]. % 1.55/1.64 apply (zenon_L306_); trivial. % 1.55/1.64 apply (zenon_L51_); trivial. % 1.55/1.64 apply (zenon_L1630_); trivial. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.64 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.64 apply (zenon_L1560_); trivial. % 1.55/1.64 apply (zenon_L1628_); trivial. % 1.55/1.64 (* end of lemma zenon_L1631_ *) % 1.55/1.64 assert (zenon_L1632_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((hskp26)\/(hskp11)) -> (~(hskp11)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> False). % 1.55/1.64 do 0 intro. intros zenon_H1bf zenon_H8e zenon_H12c zenon_Hc0 zenon_H1c zenon_H1a zenon_H1ba zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H5 zenon_H3 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H66. % 1.55/1.64 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.64 apply (zenon_L893_); trivial. % 1.55/1.64 apply (zenon_L1503_); trivial. % 1.55/1.64 (* end of lemma zenon_L1632_ *) % 1.55/1.64 assert (zenon_L1633_ : ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (ndr1_0) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.55/1.64 do 0 intro. intros zenon_H8e zenon_H12c zenon_H8a zenon_Hc0 zenon_H24f zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H46 zenon_H174 zenon_Hca zenon_Hcb zenon_Hcc zenon_H1c3 zenon_H285 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30 zenon_Hf zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.55/1.64 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.64 apply (zenon_L1379_); trivial. % 1.55/1.64 apply (zenon_L1160_); trivial. % 1.55/1.64 (* end of lemma zenon_L1633_ *) % 1.55/1.64 assert (zenon_L1634_ : ((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(c1_1 (a599))) -> (c2_1 (a599)) -> (c3_1 (a599)) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> False). % 1.55/1.64 do 0 intro. intros zenon_H1bc zenon_H8e zenon_H12c zenon_H8a zenon_Hc0 zenon_H24f zenon_H1a zenon_H1c zenon_Hca zenon_Hcb zenon_Hcc zenon_H1ba zenon_H285 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H30 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.64 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.64 apply (zenon_L1379_); trivial. % 1.55/1.64 apply (zenon_L694_); trivial. % 1.55/1.64 (* end of lemma zenon_L1634_ *) % 1.55/1.64 assert (zenon_L1635_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((hskp26)\/(hskp11)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> False). % 1.55/1.64 do 0 intro. intros zenon_H19b zenon_H285 zenon_H1c3 zenon_H24f zenon_H8a zenon_H66 zenon_H174 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H5 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H306 zenon_H305 zenon_H304 zenon_H30 zenon_H274 zenon_H278 zenon_H277 zenon_H276 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H28d zenon_H1ba zenon_H1a zenon_H1c zenon_Hc0 zenon_H12c zenon_H8e zenon_H1bf. % 1.55/1.64 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.64 apply (zenon_L1632_); trivial. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.64 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.64 apply (zenon_L1633_); trivial. % 1.55/1.64 apply (zenon_L1634_); trivial. % 1.55/1.64 (* end of lemma zenon_L1635_ *) % 1.55/1.64 assert (zenon_L1636_ : ((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a598)) -> (~(c1_1 (a598))) -> (c0_1 (a598)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.55/1.64 do 0 intro. intros zenon_H197 zenon_H1bf zenon_H159 zenon_H155 zenon_H222 zenon_H42 zenon_H160 zenon_H15e zenon_H15f zenon_H1eb zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H306 zenon_H305 zenon_H304 zenon_H30 zenon_H274 zenon_H278 zenon_H277 zenon_H276 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H28d zenon_H285 zenon_H1c3 zenon_H174 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H24f zenon_Hc0 zenon_H8a zenon_H12c zenon_H8e. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.64 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.64 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.64 apply (zenon_L1633_); trivial. % 1.55/1.64 apply (zenon_L1565_); trivial. % 1.55/1.64 (* end of lemma zenon_L1636_ *) % 1.55/1.64 assert (zenon_L1637_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((hskp26)\/(hskp11)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (c1_1 (a589)) -> (c0_1 (a589)) -> (~(c2_1 (a589))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> False). % 1.55/1.65 do 0 intro. intros zenon_H19b zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H285 zenon_H66 zenon_H174 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H5 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H306 zenon_H305 zenon_H304 zenon_H30 zenon_H274 zenon_H278 zenon_H277 zenon_H276 zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H28d zenon_H1ba zenon_H1a zenon_H1c zenon_Hc0 zenon_H12c zenon_H8e zenon_H1bf. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L1632_); trivial. % 1.55/1.65 apply (zenon_L1520_); trivial. % 1.55/1.65 (* end of lemma zenon_L1637_ *) % 1.55/1.65 assert (zenon_L1638_ : ((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> (~(c2_1 (a589))) -> (c0_1 (a589)) -> (c1_1 (a589)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c0_1 (a595))) -> (~(c1_1 (a595))) -> (~(c3_1 (a595))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.55/1.65 do 0 intro. intros zenon_H1e2 zenon_H19b zenon_H12c zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H285 zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H30 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H306 zenon_H305 zenon_H304 zenon_H2f5 zenon_H276 zenon_H277 zenon_H278 zenon_H274 zenon_H176 zenon_H177 zenon_H178 zenon_H229 zenon_H303 zenon_H8e. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L1407_); trivial. % 1.55/1.65 apply (zenon_L1520_); trivial. % 1.55/1.65 (* end of lemma zenon_L1638_ *) % 1.55/1.65 assert (zenon_L1639_ : ((ndr1_0)/\((c0_1 (a589))/\((c1_1 (a589))/\(~(c2_1 (a589)))))) -> ((~(hskp6))\/((ndr1_0)/\((c2_1 (a590))/\((c3_1 (a590))/\(~(c0_1 (a590))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a598))/\((c3_1 (a598))/\(~(c1_1 (a598))))))) -> ((~(hskp22))\/((ndr1_0)/\((c1_1 (a633))/\((~(c0_1 (a633)))/\(~(c3_1 (a633))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp22)\/(hskp6))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((forall X77 : zenon_U, ((ndr1_0)->((c1_1 X77)\/((~(c0_1 X77))\/(~(c3_1 X77))))))\/((hskp11)\/(hskp23))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(~(c3_1 X9))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c3_1 (a636))/\((~(c0_1 (a636)))/\(~(c1_1 (a636))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> (~(c0_1 (a584))) -> (~(c2_1 (a584))) -> (c1_1 (a584)) -> (~(c1_1 (a587))) -> (c0_1 (a587)) -> (c2_1 (a587)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> ((hskp26)\/(hskp11)) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a629))/\((~(c2_1 (a629)))/\(~(c3_1 (a629))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/(forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/((hskp21)\/(hskp11))) -> ((~(hskp9))\/((ndr1_0)/\((~(c0_1 (a595)))/\((~(c1_1 (a595)))/\(~(c3_1 (a595))))))) -> False). % 1.55/1.65 do 0 intro. intros zenon_H30f zenon_H310 zenon_H209 zenon_H159 zenon_H155 zenon_H222 zenon_H1eb zenon_H31 zenon_H62 zenon_H6a zenon_H1bf zenon_H8e zenon_H12c zenon_Hc0 zenon_H1c zenon_H1ba zenon_H28d zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H274 zenon_H30 zenon_H304 zenon_H305 zenon_H306 zenon_H2b2 zenon_H2b3 zenon_H2b4 zenon_H123 zenon_H5 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H174 zenon_H66 zenon_H8a zenon_H24f zenon_H1c3 zenon_H285 zenon_H19b zenon_H303 zenon_H229 zenon_H2f5 zenon_H1a0. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_Hf. zenon_intro zenon_H311. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H277. zenon_intro zenon_H312. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H278. zenon_intro zenon_H276. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_L1635_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L106_); trivial. % 1.55/1.65 apply (zenon_L1636_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_L1635_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L1407_); trivial. % 1.55/1.65 apply (zenon_L1636_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_L1637_); trivial. % 1.55/1.65 apply (zenon_L1522_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_L1637_); trivial. % 1.55/1.65 apply (zenon_L1638_); trivial. % 1.55/1.65 (* end of lemma zenon_L1639_ *) % 1.55/1.65 assert (zenon_L1640_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a599))/\((c3_1 (a599))/\(~(c1_1 (a599))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> (~(c1_1 (a588))) -> (~(c2_1 (a588))) -> (c0_1 (a588)) -> ((forall X43 : zenon_U, ((ndr1_0)->((c0_1 X43)\/((c3_1 X43)\/(~(c2_1 X43))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c0_1 X18))))))\/(hskp14))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a583))/\((c1_1 (a583))/\(c2_1 (a583)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (c2_1 (a585)) -> (c1_1 (a585)) -> (~(c0_1 (a585))) -> ((hskp26)\/(hskp11)) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> (~(c3_1 (a586))) -> (c1_1 (a586)) -> (c2_1 (a586)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39))))))\/(hskp28))) -> (~(hskp10)) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a600))/\((c2_1 (a600))/\(~(c3_1 (a600))))))) -> False). % 1.55/1.65 do 0 intro. intros zenon_H19b zenon_H1e1 zenon_H13b zenon_H8a zenon_H24f zenon_H1c3 zenon_H285 zenon_H104 zenon_H203 zenon_H297 zenon_H298 zenon_H299 zenon_H2ad zenon_H1e7 zenon_H155 zenon_H107 zenon_H198 zenon_H66 zenon_H174 zenon_H2eb zenon_H2ea zenon_H2e9 zenon_H5 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H306 zenon_H305 zenon_H304 zenon_H30 zenon_H1eb zenon_H2c8 zenon_H2ca zenon_H2c9 zenon_H28d zenon_H1ba zenon_H1a zenon_H1c zenon_Hc0 zenon_H12c zenon_H8e zenon_H1bf. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L1617_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L1618_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_L823_); trivial. % 1.55/1.65 apply (zenon_L1619_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L1618_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_L1174_); trivial. % 1.55/1.65 apply (zenon_L1619_); trivial. % 1.55/1.65 apply (zenon_L1620_); trivial. % 1.55/1.65 (* end of lemma zenon_L1640_ *) % 1.55/1.65 assert (zenon_L1641_ : ((ndr1_0)/\((c0_1 (a603))/\((~(c1_1 (a603)))/\(~(c3_1 (a603)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a604))/\((c3_1 (a604))/\(~(c0_1 (a604))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a606))/\((~(c2_1 (a606)))/\(~(c3_1 (a606))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a610))/\((~(c0_1 (a610)))/\(~(c2_1 (a610))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a611))/\((c1_1 (a611))/\(c3_1 (a611)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X6 : zenon_U, ((ndr1_0)->((~(c0_1 X6))\/((~(c1_1 X6))\/(~(c3_1 X6)))))))) -> (c3_1 (a590)) -> (c2_1 (a590)) -> (~(c0_1 (a590))) -> ((forall X34 : zenon_U, ((ndr1_0)->((c0_1 X34)\/((c2_1 X34)\/(~(c3_1 X34))))))\/((forall X37 : zenon_U, ((ndr1_0)->((c2_1 X37)\/((~(c0_1 X37))\/(~(c1_1 X37))))))\/(hskp27))) -> ((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/((forall X107 : zenon_U, ((ndr1_0)->((~(c1_1 X107))\/((~(c2_1 X107))\/(~(c3_1 X107))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c2_1 X16)\/(c3_1 X16)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/(forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp18))) -> ((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/(hskp28))) -> (c3_1 (a599)) -> (c2_1 (a599)) -> (~(c1_1 (a599))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((~(c1_1 Z))\/(~(c3_1 Z))))))\/((forall X55 : zenon_U, ((ndr1_0)->((c3_1 X55)\/((~(c0_1 X55))\/(~(c1_1 X55))))))\/(hskp16))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X14 : zenon_U, ((ndr1_0)->((~(c0_1 X14))\/((~(c1_1 X14))\/(~(c2_1 X14))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((~(c2_1 X5))\/(~(c3_1 X5))))))\/((forall X : zenon_U, ((ndr1_0)->((c2_1 X)\/((c3_1 X)\/(~(c0_1 X))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c0_1 X40)\/((c3_1 X40)\/(~(c1_1 X40))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c1_1 X21)\/((~(c2_1 X21))\/(~(c3_1 X21))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c3_1 X39)\/((~(c0_1 X39))\/(~(c2_1 X39)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a612))/\((c2_1 (a612))/\(c3_1 (a612)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c0_1 W)\/((c2_1 W)\/(~(c1_1 W))))))\/((forall X32 : zenon_U, ((ndr1_0)->((c1_1 X32)\/((~(c0_1 X32))\/(~(c2_1 X32))))))\/(hskp17))) -> (c2_1 (a587)) -> (c0_1 (a587)) -> (~(c1_1 (a587))) -> (c1_1 (a584)) -> (~(c2_1 (a584))) -> (~(c0_1 (a584))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c3_1 X57)\/((~(c1_1 X57))\/(~(c2_1 X57))))))\/((hskp29)\/(hskp15))) -> (c2_1 (a586)) -> (c1_1 (a586)) -> (~(c3_1 (a586))) -> (~(c0_1 (a585))) -> (c1_1 (a585)) -> (c2_1 (a585)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((~(c1_1 X10))\/(~(c2_1 X10))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c1_1 X47)\/((c2_1 X47)\/(~(c3_1 X47))))))\/(forall X25 : zenon_U, ((ndr1_0)->((~(c0_1 X25))\/((~(c2_1 X25))\/(~(c3_1 X25)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a678))/\((c2_1 (a678))/\(c3_1 (a678)))))) -> ((~(hskp17))\/((ndr1_0)/\((c3_1 (a607))/\((~(c1_1 (a607)))/\(~(c2_1 (a607))))))) -> False). % 1.55/1.65 do 0 intro. intros zenon_H194 zenon_H1e1 zenon_H13b zenon_H12c zenon_H8a zenon_H24f zenon_H237 zenon_H22c zenon_H22b zenon_H285 zenon_H1c zenon_H1a zenon_H104 zenon_H28d zenon_H1c3 zenon_Hcc zenon_Hcb zenon_Hca zenon_H203 zenon_H174 zenon_H46 zenon_H107 zenon_H155 zenon_Hc0 zenon_H123 zenon_H2b4 zenon_H2b3 zenon_H2b2 zenon_H306 zenon_H305 zenon_H304 zenon_H1e7 zenon_H2c9 zenon_H2ca zenon_H2c8 zenon_H2e9 zenon_H2ea zenon_H2eb zenon_H1eb zenon_H30 zenon_H8e. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L1618_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_L1174_); trivial. % 1.55/1.65 apply (zenon_L1630_); trivial. % 1.55/1.65 (* end of lemma zenon_L1641_ *) % 1.55/1.65 apply NNPP. intro zenon_G. % 1.55/1.65 apply zenon_G. zenon_intro zenon_H316. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H318. zenon_intro zenon_H317. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H31a. zenon_intro zenon_H319. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H319). zenon_intro zenon_H31c. zenon_intro zenon_H31b. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H31b). zenon_intro zenon_H31e. zenon_intro zenon_H31d. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H31d). zenon_intro zenon_H320. zenon_intro zenon_H31f. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H31f). zenon_intro zenon_H322. zenon_intro zenon_H321. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H321). zenon_intro zenon_H310. zenon_intro zenon_H323. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H323). zenon_intro zenon_H325. zenon_intro zenon_H324. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H324). zenon_intro zenon_H2e6. zenon_intro zenon_H326. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H1a0. zenon_intro zenon_H327. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_H209. zenon_intro zenon_H328. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H328). zenon_intro zenon_H19b. zenon_intro zenon_H329. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H329). zenon_intro zenon_H1bf. zenon_intro zenon_H32a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_H2f2. zenon_intro zenon_H32b. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H198. zenon_intro zenon_H32c. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H1e1. zenon_intro zenon_H32d. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H13b. zenon_intro zenon_H32e. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H8e. zenon_intro zenon_H32f. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H12c. zenon_intro zenon_H330. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H330). zenon_intro zenon_H254. zenon_intro zenon_H331. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_Hbf. zenon_intro zenon_H332. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_H303. zenon_intro zenon_H333. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H159. zenon_intro zenon_H334. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H6a. zenon_intro zenon_H335. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H335). zenon_intro zenon_H207. zenon_intro zenon_H336. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_H1e0. zenon_intro zenon_H337. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H337). zenon_intro zenon_H66. zenon_intro zenon_H338. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_H8a. zenon_intro zenon_H339. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_Hc0. zenon_intro zenon_H33a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H33a). zenon_intro zenon_H30. zenon_intro zenon_H33b. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H33d. zenon_intro zenon_H33c. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H33c). zenon_intro zenon_H229. zenon_intro zenon_H33e. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H33e). zenon_intro zenon_Hc1. zenon_intro zenon_H33f. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H33f). zenon_intro zenon_H1c8. zenon_intro zenon_H340. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H340). zenon_intro zenon_H181. zenon_intro zenon_H341. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H341). zenon_intro zenon_H24f. zenon_intro zenon_H342. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H342). zenon_intro zenon_H128. zenon_intro zenon_H343. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H343). zenon_intro zenon_H144. zenon_intro zenon_H344. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H344). zenon_intro zenon_H255. zenon_intro zenon_H345. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H345). zenon_intro zenon_H265. zenon_intro zenon_H346. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H346). zenon_intro zenon_H62. zenon_intro zenon_H347. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H347). zenon_intro zenon_H44. zenon_intro zenon_H348. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H348). zenon_intro zenon_H106. zenon_intro zenon_H349. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H349). zenon_intro zenon_H104. zenon_intro zenon_H34a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H34a). zenon_intro zenon_H217. zenon_intro zenon_H34b. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H34b). zenon_intro zenon_H2ab. zenon_intro zenon_H34c. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H34c). zenon_intro zenon_H34e. zenon_intro zenon_H34d. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H34d). zenon_intro zenon_H212. zenon_intro zenon_H34f. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H34f). zenon_intro zenon_H351. zenon_intro zenon_H350. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H350). zenon_intro zenon_H287. zenon_intro zenon_H352. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H352). zenon_intro zenon_H123. zenon_intro zenon_H353. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H353). zenon_intro zenon_H30d. zenon_intro zenon_H354. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H354). zenon_intro zenon_H102. zenon_intro zenon_H355. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H355). zenon_intro zenon_H285. zenon_intro zenon_H356. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_H1ba. zenon_intro zenon_H357. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_H155. zenon_intro zenon_H358. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_H2ad. zenon_intro zenon_H359. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_H1b5. zenon_intro zenon_H35a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H1eb. zenon_intro zenon_H35b. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H174. zenon_intro zenon_H35c. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H242. zenon_intro zenon_H35d. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_H35f. zenon_intro zenon_H35e. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H203. zenon_intro zenon_H360. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H360). zenon_intro zenon_H362. zenon_intro zenon_H361. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H361). zenon_intro zenon_H9b. zenon_intro zenon_H363. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H107. zenon_intro zenon_H364. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H364). zenon_intro zenon_H1e5. zenon_intro zenon_H365. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H365). zenon_intro zenon_H140. zenon_intro zenon_H366. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H366). zenon_intro zenon_Hf9. zenon_intro zenon_H367. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H367). zenon_intro zenon_H2f5. zenon_intro zenon_H368. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H368). zenon_intro zenon_Haf. zenon_intro zenon_H369. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H369). zenon_intro zenon_H222. zenon_intro zenon_H36a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H36a). zenon_intro zenon_H15c. zenon_intro zenon_H36b. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H36b). zenon_intro zenon_H274. zenon_intro zenon_H36c. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H36c). zenon_intro zenon_H54. zenon_intro zenon_H36d. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H36d). zenon_intro zenon_H208. zenon_intro zenon_H36e. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H36e). zenon_intro zenon_H85. zenon_intro zenon_H36f. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H36f). zenon_intro zenon_H31. zenon_intro zenon_H370. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H370). zenon_intro zenon_H1c3. zenon_intro zenon_H371. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H371). zenon_intro zenon_Hd5. zenon_intro zenon_H372. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H372). zenon_intro zenon_He9. zenon_intro zenon_H373. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H373). zenon_intro zenon_H375. zenon_intro zenon_H374. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H374). zenon_intro zenon_H28b. zenon_intro zenon_H376. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H376). zenon_intro zenon_H138. zenon_intro zenon_H377. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H377). zenon_intro zenon_H1d2. zenon_intro zenon_H378. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H378). zenon_intro zenon_H283. zenon_intro zenon_H379. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H379). zenon_intro zenon_H281. zenon_intro zenon_H37a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H37a). zenon_intro zenon_H2c0. zenon_intro zenon_H37b. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H37b). zenon_intro zenon_H1f6. zenon_intro zenon_H37c. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H37c). zenon_intro zenon_H37e. zenon_intro zenon_H37d. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H37d). zenon_intro zenon_H220. zenon_intro zenon_H37f. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H37f). zenon_intro zenon_H192. zenon_intro zenon_H380. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H380). zenon_intro zenon_H18d. zenon_intro zenon_H381. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H381). zenon_intro zenon_H2d6. zenon_intro zenon_H382. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H382). zenon_intro zenon_H289. zenon_intro zenon_H383. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H383). zenon_intro zenon_H77. zenon_intro zenon_H384. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H384). zenon_intro zenon_H386. zenon_intro zenon_H385. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H385). zenon_intro zenon_H13c. zenon_intro zenon_H387. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H387). zenon_intro zenon_H1e7. zenon_intro zenon_H388. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H388). zenon_intro zenon_H28d. zenon_intro zenon_H389. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H389). zenon_intro zenon_H1c. zenon_intro zenon_H38a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H38a). zenon_intro zenon_H38c. zenon_intro zenon_H38b. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H38b). zenon_intro zenon_H2be. zenon_intro zenon_H38d. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H38d). zenon_intro zenon_H38f. zenon_intro zenon_H38e. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H38e). zenon_intro zenon_H391. zenon_intro zenon_H390. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H390). zenon_intro zenon_H48. zenon_intro zenon_H392. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H392). zenon_intro zenon_H5. zenon_intro zenon_H393. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H393). zenon_intro zenon_H148. zenon_intro zenon_H394. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H394). zenon_intro zenon_Hc. zenon_intro zenon_H395. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H318); [ zenon_intro zenon_H27f | zenon_intro zenon_H396 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H397 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H142 | zenon_intro zenon_H398 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H15a | zenon_intro zenon_H399 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H17f | zenon_intro zenon_H39a ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H125 | zenon_intro zenon_H30f ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.55/1.65 apply (zenon_L3_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H61). zenon_intro zenon_Hf. zenon_intro zenon_H63. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H11. zenon_intro zenon_H64. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H12. zenon_intro zenon_H13. % 1.55/1.65 apply (zenon_L13_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Hf. zenon_intro zenon_H68. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H39. zenon_intro zenon_H69. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H37. zenon_intro zenon_H38. % 1.55/1.65 apply (zenon_L17_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.55/1.65 apply (zenon_L27_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L38_); trivial. % 1.55/1.65 apply (zenon_L50_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L54_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L63_); trivial. % 1.55/1.65 apply (zenon_L85_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L54_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L102_); trivial. % 1.55/1.65 apply (zenon_L85_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L106_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L54_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L114_); trivial. % 1.55/1.65 apply (zenon_L85_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L54_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L115_); trivial. % 1.55/1.65 apply (zenon_L85_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.65 apply (zenon_L118_); trivial. % 1.55/1.65 apply (zenon_L129_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L141_); trivial. % 1.55/1.65 apply (zenon_L152_); trivial. % 1.55/1.65 apply (zenon_L164_); trivial. % 1.55/1.65 apply (zenon_L128_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_L190_); trivial. % 1.55/1.65 apply (zenon_L213_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_L217_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L221_); trivial. % 1.55/1.65 apply (zenon_L50_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_L222_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.65 apply (zenon_L230_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L232_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L102_); trivial. % 1.55/1.65 apply (zenon_L235_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L106_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_L222_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.65 apply (zenon_L230_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L240_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L115_); trivial. % 1.55/1.65 apply (zenon_L235_); trivial. % 1.55/1.65 apply (zenon_L244_); trivial. % 1.55/1.65 apply (zenon_L129_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L141_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_L148_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.55/1.65 apply (zenon_L30_); trivial. % 1.55/1.65 apply (zenon_L245_); trivial. % 1.55/1.65 apply (zenon_L258_); trivial. % 1.55/1.65 apply (zenon_L263_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_L190_); trivial. % 1.55/1.65 apply (zenon_L264_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_Hf. zenon_intro zenon_H311. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H277. zenon_intro zenon_H312. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H278. zenon_intro zenon_H276. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L267_); trivial. % 1.55/1.65 apply (zenon_L277_); trivial. % 1.55/1.65 apply (zenon_L128_); trivial. % 1.55/1.65 apply (zenon_L129_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L141_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_L148_); trivial. % 1.55/1.65 apply (zenon_L283_); trivial. % 1.55/1.65 apply (zenon_L290_); trivial. % 1.55/1.65 apply (zenon_L292_); trivial. % 1.55/1.65 apply (zenon_L302_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L267_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_L222_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L232_); trivial. % 1.55/1.65 apply (zenon_L276_); trivial. % 1.55/1.65 apply (zenon_L244_); trivial. % 1.55/1.65 apply (zenon_L129_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L141_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_L148_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L232_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L269_); trivial. % 1.55/1.65 apply (zenon_L312_); trivial. % 1.55/1.65 apply (zenon_L319_); trivial. % 1.55/1.65 apply (zenon_L263_); trivial. % 1.55/1.65 apply (zenon_L302_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H39a). zenon_intro zenon_Hf. zenon_intro zenon_H39b. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H39b). zenon_intro zenon_H299. zenon_intro zenon_H39c. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H297. zenon_intro zenon_H298. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H125 | zenon_intro zenon_H30f ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_L323_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L106_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L54_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L327_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.65 apply (zenon_L331_); trivial. % 1.55/1.65 apply (zenon_L101_); trivial. % 1.55/1.65 apply (zenon_L336_); trivial. % 1.55/1.65 apply (zenon_L337_); trivial. % 1.55/1.65 apply (zenon_L342_); trivial. % 1.55/1.65 apply (zenon_L348_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_L362_); trivial. % 1.55/1.65 apply (zenon_L363_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_L364_); trivial. % 1.55/1.65 apply (zenon_L348_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_L372_); trivial. % 1.55/1.65 apply (zenon_L373_); trivial. % 1.55/1.65 apply (zenon_L363_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_Hf. zenon_intro zenon_H311. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H277. zenon_intro zenon_H312. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H278. zenon_intro zenon_H276. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_L377_); trivial. % 1.55/1.65 apply (zenon_L379_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_L323_); trivial. % 1.55/1.65 apply (zenon_L380_); trivial. % 1.55/1.65 apply (zenon_L363_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_L364_); trivial. % 1.55/1.65 apply (zenon_L379_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_L372_); trivial. % 1.55/1.65 apply (zenon_L381_); trivial. % 1.55/1.65 apply (zenon_L363_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H399). zenon_intro zenon_Hf. zenon_intro zenon_H39d. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H39d). zenon_intro zenon_H2b3. zenon_intro zenon_H39e. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H39e). zenon_intro zenon_H2b4. zenon_intro zenon_H2b2. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H17f | zenon_intro zenon_H39a ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H125 | zenon_intro zenon_H30f ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_L384_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L38_); trivial. % 1.55/1.65 apply (zenon_L387_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L54_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L63_); trivial. % 1.55/1.65 apply (zenon_L390_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L54_); trivial. % 1.55/1.65 apply (zenon_L396_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L106_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L54_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L114_); trivial. % 1.55/1.65 apply (zenon_L390_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L240_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L115_); trivial. % 1.55/1.65 apply (zenon_L390_); trivial. % 1.55/1.65 apply (zenon_L397_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L402_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L124_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_L425_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.65 apply (zenon_L401_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H99 | zenon_intro zenon_Hc2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.55/1.65 apply (zenon_L426_); trivial. % 1.55/1.65 apply (zenon_L23_); trivial. % 1.55/1.65 apply (zenon_L430_); trivial. % 1.55/1.65 apply (zenon_L388_); trivial. % 1.55/1.65 apply (zenon_L431_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L106_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L124_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_L433_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.65 apply (zenon_L401_); trivial. % 1.55/1.65 apply (zenon_L435_); trivial. % 1.55/1.65 apply (zenon_L431_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_L195_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L437_); trivial. % 1.55/1.65 apply (zenon_L438_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L441_); trivial. % 1.55/1.65 apply (zenon_L152_); trivial. % 1.55/1.65 apply (zenon_L164_); trivial. % 1.55/1.65 apply (zenon_L397_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L402_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L442_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_L446_); trivial. % 1.55/1.65 apply (zenon_L450_); trivial. % 1.55/1.65 apply (zenon_L213_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_L217_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L221_); trivial. % 1.55/1.65 apply (zenon_L387_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_L222_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L232_); trivial. % 1.55/1.65 apply (zenon_L396_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L106_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_L222_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L232_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L115_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_L453_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.55/1.65 apply (zenon_L455_); trivial. % 1.55/1.65 apply (zenon_L457_); trivial. % 1.55/1.65 apply (zenon_L257_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L240_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L115_); trivial. % 1.55/1.65 apply (zenon_L460_); trivial. % 1.55/1.65 apply (zenon_L244_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L402_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L124_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_L461_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.65 apply (zenon_L401_); trivial. % 1.55/1.65 apply (zenon_L459_); trivial. % 1.55/1.65 apply (zenon_L264_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L441_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_L148_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L232_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.55/1.65 apply (zenon_L135_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H146 | zenon_intro zenon_H154 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.55/1.65 apply (zenon_L30_); trivial. % 1.55/1.65 apply (zenon_L462_); trivial. % 1.55/1.65 apply (zenon_L95_); trivial. % 1.55/1.65 apply (zenon_L97_); trivial. % 1.55/1.65 apply (zenon_L178_); trivial. % 1.55/1.65 apply (zenon_L312_); trivial. % 1.55/1.65 apply (zenon_L258_); trivial. % 1.55/1.65 apply (zenon_L263_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L402_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L168_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L442_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.65 apply (zenon_L443_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.55/1.65 apply (zenon_L423_); trivial. % 1.55/1.65 apply (zenon_L463_); trivial. % 1.55/1.65 apply (zenon_L472_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L106_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L442_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_L473_); trivial. % 1.55/1.65 apply (zenon_L472_); trivial. % 1.55/1.65 apply (zenon_L264_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_Hf. zenon_intro zenon_H311. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H277. zenon_intro zenon_H312. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H278. zenon_intro zenon_H276. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L267_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L54_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H146 | zenon_intro zenon_H154 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ]. % 1.55/1.65 apply (zenon_L268_); trivial. % 1.55/1.65 apply (zenon_L476_); trivial. % 1.55/1.65 apply (zenon_L374_); trivial. % 1.55/1.65 apply (zenon_L356_); trivial. % 1.55/1.65 apply (zenon_L478_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L54_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L479_); trivial. % 1.55/1.65 apply (zenon_L480_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L106_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L54_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L482_); trivial. % 1.55/1.65 apply (zenon_L478_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L240_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L115_); trivial. % 1.55/1.65 apply (zenon_L480_); trivial. % 1.55/1.65 apply (zenon_L292_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L267_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L124_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L484_); trivial. % 1.55/1.65 apply (zenon_L485_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L106_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L124_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L488_); trivial. % 1.55/1.65 apply (zenon_L485_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_L195_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L199_); trivial. % 1.55/1.65 apply (zenon_L490_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L267_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_L496_); trivial. % 1.55/1.65 apply (zenon_L283_); trivial. % 1.55/1.65 apply (zenon_L290_); trivial. % 1.55/1.65 apply (zenon_L292_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L267_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_L504_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L514_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.55/1.65 apply (zenon_L500_); trivial. % 1.55/1.65 apply (zenon_L281_); trivial. % 1.55/1.65 apply (zenon_L524_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_L526_); trivial. % 1.55/1.65 apply (zenon_L529_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L106_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.65 apply (zenon_L432_); trivial. % 1.55/1.65 apply (zenon_L530_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.55/1.65 apply (zenon_L505_); trivial. % 1.55/1.65 apply (zenon_L532_); trivial. % 1.55/1.65 apply (zenon_L300_); trivial. % 1.55/1.65 apply (zenon_L538_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L514_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L488_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_L526_); trivial. % 1.55/1.65 apply (zenon_L289_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_L195_); trivial. % 1.55/1.65 apply (zenon_L539_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L267_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_L222_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L232_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L479_); trivial. % 1.55/1.65 apply (zenon_L540_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L232_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L479_); trivial. % 1.55/1.65 apply (zenon_L541_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L106_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_L222_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L240_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L115_); trivial. % 1.55/1.65 apply (zenon_L540_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L240_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L115_); trivial. % 1.55/1.65 apply (zenon_L541_); trivial. % 1.55/1.65 apply (zenon_L542_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L267_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L124_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L484_); trivial. % 1.55/1.65 apply (zenon_L544_); trivial. % 1.55/1.65 apply (zenon_L548_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L106_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L124_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L488_); trivial. % 1.55/1.65 apply (zenon_L544_); trivial. % 1.55/1.65 apply (zenon_L549_); trivial. % 1.55/1.65 apply (zenon_L264_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L267_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L153_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.65 apply (zenon_L554_); trivial. % 1.55/1.65 apply (zenon_L356_); trivial. % 1.55/1.65 apply (zenon_L162_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L168_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.65 apply (zenon_L554_); trivial. % 1.55/1.65 apply (zenon_L556_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.65 apply (zenon_L314_); trivial. % 1.55/1.65 apply (zenon_L559_); trivial. % 1.55/1.65 apply (zenon_L319_); trivial. % 1.55/1.65 apply (zenon_L542_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L267_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_L504_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L168_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.55/1.65 apply (zenon_L560_); trivial. % 1.55/1.65 apply (zenon_L553_); trivial. % 1.55/1.65 apply (zenon_L559_); trivial. % 1.55/1.65 apply (zenon_L562_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L106_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.65 apply (zenon_L432_); trivial. % 1.55/1.65 apply (zenon_L559_); trivial. % 1.55/1.65 apply (zenon_L563_); trivial. % 1.55/1.65 apply (zenon_L538_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.65 apply (zenon_L432_); trivial. % 1.55/1.65 apply (zenon_L318_); trivial. % 1.55/1.65 apply (zenon_L563_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L564_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.65 apply (zenon_L561_); trivial. % 1.55/1.65 apply (zenon_L318_); trivial. % 1.55/1.65 apply (zenon_L264_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H39a). zenon_intro zenon_Hf. zenon_intro zenon_H39b. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H39b). zenon_intro zenon_H299. zenon_intro zenon_H39c. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H297. zenon_intro zenon_H298. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H125 | zenon_intro zenon_H30f ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_L323_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L106_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L153_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L327_); trivial. % 1.55/1.65 apply (zenon_L565_); trivial. % 1.55/1.65 apply (zenon_L337_); trivial. % 1.55/1.65 apply (zenon_L342_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H6 | zenon_intro zenon_H32 ]. % 1.55/1.65 apply (zenon_L7_); trivial. % 1.55/1.65 apply (zenon_L201_); trivial. % 1.55/1.65 apply (zenon_L121_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_L425_); trivial. % 1.55/1.65 apply (zenon_L568_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_L569_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ]. % 1.55/1.65 apply (zenon_L156_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_Hf. zenon_intro zenon_H1de. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d6. zenon_intro zenon_H1df. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.55/1.65 apply (zenon_L566_); trivial. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.55/1.65 apply (zenon_L70_); trivial. % 1.55/1.65 apply (zenon_L498_); trivial. % 1.55/1.65 apply (zenon_L571_); trivial. % 1.55/1.65 apply (zenon_L389_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L124_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.55/1.65 apply (zenon_L483_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H99 | zenon_intro zenon_Hc2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.55/1.65 apply (zenon_L573_); trivial. % 1.55/1.65 apply (zenon_L416_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc2). zenon_intro zenon_Hf. zenon_intro zenon_Hc3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_H9e. zenon_intro zenon_Hc4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_H9f. zenon_intro zenon_Ha8. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.55/1.65 apply (zenon_L573_); trivial. % 1.55/1.65 apply (zenon_L237_); trivial. % 1.55/1.65 apply (zenon_L424_); trivial. % 1.55/1.65 apply (zenon_L336_); trivial. % 1.55/1.65 apply (zenon_L577_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L106_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L124_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L578_); trivial. % 1.55/1.65 apply (zenon_L577_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_L338_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L347_); trivial. % 1.55/1.65 apply (zenon_L438_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_L362_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L581_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L349_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.55/1.65 apply (zenon_L500_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.55/1.65 apply (zenon_L582_); trivial. % 1.55/1.65 apply (zenon_L147_); trivial. % 1.55/1.65 apply (zenon_L586_); trivial. % 1.55/1.65 apply (zenon_L588_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_L446_); trivial. % 1.55/1.65 apply (zenon_L591_); trivial. % 1.55/1.65 apply (zenon_L337_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L106_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L349_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L593_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_L473_); trivial. % 1.55/1.65 apply (zenon_L591_); trivial. % 1.55/1.65 apply (zenon_L322_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_L338_); trivial. % 1.55/1.65 apply (zenon_L212_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_L364_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_L217_); trivial. % 1.55/1.65 apply (zenon_L322_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L124_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_L365_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.55/1.65 apply (zenon_L483_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H99 | zenon_intro zenon_Hc2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.55/1.65 apply (zenon_L594_); trivial. % 1.55/1.65 apply (zenon_L216_); trivial. % 1.55/1.65 apply (zenon_L595_); trivial. % 1.55/1.65 apply (zenon_L459_); trivial. % 1.55/1.65 apply (zenon_L596_); trivial. % 1.55/1.65 apply (zenon_L322_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L106_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L124_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L598_); trivial. % 1.55/1.65 apply (zenon_L603_); trivial. % 1.55/1.65 apply (zenon_L322_); trivial. % 1.55/1.65 apply (zenon_L264_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L349_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_L365_); trivial. % 1.55/1.65 apply (zenon_L160_); trivial. % 1.55/1.65 apply (zenon_L140_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L153_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_L365_); trivial. % 1.55/1.65 apply (zenon_L607_); trivial. % 1.55/1.65 apply (zenon_L162_); trivial. % 1.55/1.65 apply (zenon_L322_); trivial. % 1.55/1.65 apply (zenon_L371_); trivial. % 1.55/1.65 apply (zenon_L373_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L581_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L349_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_L365_); trivial. % 1.55/1.65 apply (zenon_L608_); trivial. % 1.55/1.65 apply (zenon_L610_); trivial. % 1.55/1.65 apply (zenon_L322_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L106_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L349_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L598_); trivial. % 1.55/1.65 apply (zenon_L610_); trivial. % 1.55/1.65 apply (zenon_L322_); trivial. % 1.55/1.65 apply (zenon_L264_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_Hf. zenon_intro zenon_H311. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H277. zenon_intro zenon_H312. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H278. zenon_intro zenon_H276. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_L377_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L267_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L124_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L484_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_L375_); trivial. % 1.55/1.65 apply (zenon_L576_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L106_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L124_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L488_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_L375_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.65 apply (zenon_L575_); trivial. % 1.55/1.65 apply (zenon_L613_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_L338_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L347_); trivial. % 1.55/1.65 apply (zenon_L490_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L267_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_L496_); trivial. % 1.55/1.65 apply (zenon_L322_); trivial. % 1.55/1.65 apply (zenon_L380_); trivial. % 1.55/1.65 apply (zenon_L381_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L267_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L349_); trivial. % 1.55/1.65 apply (zenon_L503_); trivial. % 1.55/1.65 apply (zenon_L337_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L106_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L349_); trivial. % 1.55/1.65 apply (zenon_L538_); trivial. % 1.55/1.65 apply (zenon_L322_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_L338_); trivial. % 1.55/1.65 apply (zenon_L539_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_L364_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L267_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L124_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L615_); trivial. % 1.55/1.65 apply (zenon_L603_); trivial. % 1.55/1.65 apply (zenon_L322_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L106_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L124_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L488_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_L365_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.65 apply (zenon_L602_); trivial. % 1.55/1.65 apply (zenon_L613_); trivial. % 1.55/1.65 apply (zenon_L322_); trivial. % 1.55/1.65 apply (zenon_L616_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L267_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L153_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_L365_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.55/1.65 apply (zenon_L135_); trivial. % 1.55/1.65 apply (zenon_L617_); trivial. % 1.55/1.65 apply (zenon_L356_); trivial. % 1.55/1.65 apply (zenon_L322_); trivial. % 1.55/1.65 apply (zenon_L371_); trivial. % 1.55/1.65 apply (zenon_L381_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L267_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L349_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_L365_); trivial. % 1.55/1.65 apply (zenon_L620_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L106_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L349_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L598_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_L365_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.65 apply (zenon_L609_); trivial. % 1.55/1.65 apply (zenon_L530_); trivial. % 1.55/1.65 apply (zenon_L322_); trivial. % 1.55/1.65 apply (zenon_L542_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H398). zenon_intro zenon_Hf. zenon_intro zenon_H39f. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H39f). zenon_intro zenon_H2ca. zenon_intro zenon_H3a0. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H3a0). zenon_intro zenon_H2c9. zenon_intro zenon_H2c8. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H15a | zenon_intro zenon_H399 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H17f | zenon_intro zenon_H39a ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H125 | zenon_intro zenon_H30f ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.55/1.65 apply (zenon_L623_); trivial. % 1.55/1.65 apply (zenon_L627_); trivial. % 1.55/1.65 apply (zenon_L121_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.65 apply (zenon_L628_); trivial. % 1.55/1.65 apply (zenon_L121_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_L632_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L634_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L641_); trivial. % 1.55/1.65 apply (zenon_L644_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L106_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L153_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L641_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.65 apply (zenon_L647_); trivial. % 1.55/1.65 apply (zenon_L649_); trivial. % 1.55/1.65 apply (zenon_L84_); trivial. % 1.55/1.65 apply (zenon_L650_); trivial. % 1.55/1.65 apply (zenon_L128_); trivial. % 1.55/1.65 apply (zenon_L654_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L656_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L634_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L641_); trivial. % 1.55/1.65 apply (zenon_L659_); trivial. % 1.55/1.65 apply (zenon_L663_); trivial. % 1.55/1.65 apply (zenon_L671_); trivial. % 1.55/1.65 apply (zenon_L684_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_L691_); trivial. % 1.55/1.65 apply (zenon_L692_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_Hf. zenon_intro zenon_H311. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H277. zenon_intro zenon_H312. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H278. zenon_intro zenon_H276. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_L696_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L106_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.65 apply (zenon_L647_); trivial. % 1.55/1.65 apply (zenon_L698_); trivial. % 1.55/1.65 apply (zenon_L700_); trivial. % 1.55/1.65 apply (zenon_L703_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_L704_); trivial. % 1.55/1.65 apply (zenon_L128_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_L705_); trivial. % 1.55/1.65 apply (zenon_L711_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H39a). zenon_intro zenon_Hf. zenon_intro zenon_H39b. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H39b). zenon_intro zenon_H299. zenon_intro zenon_H39c. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H297. zenon_intro zenon_H298. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H125 | zenon_intro zenon_H30f ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_L714_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_L674_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L199_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L719_); trivial. % 1.55/1.65 apply (zenon_L125_); trivial. % 1.55/1.65 apply (zenon_L720_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_L714_); trivial. % 1.55/1.65 apply (zenon_L684_); trivial. % 1.55/1.65 apply (zenon_L720_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_Hf. zenon_intro zenon_H311. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H277. zenon_intro zenon_H312. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H278. zenon_intro zenon_H276. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_L714_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_L704_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L721_); trivial. % 1.55/1.65 apply (zenon_L125_); trivial. % 1.55/1.65 apply (zenon_L720_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H399). zenon_intro zenon_Hf. zenon_intro zenon_H39d. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H39d). zenon_intro zenon_H2b3. zenon_intro zenon_H39e. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H39e). zenon_intro zenon_H2b4. zenon_intro zenon_H2b2. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H17f | zenon_intro zenon_H39a ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H125 | zenon_intro zenon_H30f ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L724_); trivial. % 1.55/1.65 apply (zenon_L725_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L727_); trivial. % 1.55/1.65 apply (zenon_L387_); trivial. % 1.55/1.65 apply (zenon_L729_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L106_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_L732_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L54_); trivial. % 1.55/1.65 apply (zenon_L728_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L735_); trivial. % 1.55/1.65 apply (zenon_L198_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_L632_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L54_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.65 apply (zenon_L685_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H99 | zenon_intro zenon_Hc2 ]. % 1.55/1.65 apply (zenon_L87_); trivial. % 1.55/1.65 apply (zenon_L737_); trivial. % 1.55/1.65 apply (zenon_L198_); trivial. % 1.55/1.65 apply (zenon_L670_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L402_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L634_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_L461_); trivial. % 1.55/1.65 apply (zenon_L739_); trivial. % 1.55/1.65 apply (zenon_L431_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L106_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L672_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L745_); trivial. % 1.55/1.65 apply (zenon_L746_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L199_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L675_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H99 | zenon_intro zenon_Hc2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.55/1.65 apply (zenon_L415_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H22a ]. % 1.55/1.65 apply (zenon_L116_); trivial. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H10a | zenon_intro zenon_He0 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.55/1.65 apply (zenon_L747_); trivial. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.55/1.65 apply (zenon_L306_); trivial. % 1.55/1.65 apply (zenon_L207_); trivial. % 1.55/1.65 apply (zenon_L86_); trivial. % 1.55/1.65 apply (zenon_L631_); trivial. % 1.55/1.65 apply (zenon_L748_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L199_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L675_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L745_); trivial. % 1.55/1.65 apply (zenon_L198_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_L750_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L402_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L634_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_L758_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.65 apply (zenon_L401_); trivial. % 1.55/1.65 apply (zenon_L762_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L106_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L769_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L770_); trivial. % 1.55/1.65 apply (zenon_L746_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L199_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L675_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_L758_); trivial. % 1.55/1.65 apply (zenon_L739_); trivial. % 1.55/1.65 apply (zenon_L198_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L199_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L675_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L770_); trivial. % 1.55/1.65 apply (zenon_L198_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L656_); trivial. % 1.55/1.65 apply (zenon_L729_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L106_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_L732_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L240_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L115_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_L658_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.65 apply (zenon_L685_); trivial. % 1.55/1.65 apply (zenon_L772_); trivial. % 1.55/1.65 apply (zenon_L671_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L402_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L634_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_L774_); trivial. % 1.55/1.65 apply (zenon_L739_); trivial. % 1.55/1.65 apply (zenon_L431_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L106_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L672_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.65 apply (zenon_L401_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_Hbf); [ zenon_intro zenon_H99 | zenon_intro zenon_Hc2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.55/1.65 apply (zenon_L775_); trivial. % 1.55/1.65 apply (zenon_L416_); trivial. % 1.55/1.65 apply (zenon_L388_); trivial. % 1.55/1.65 apply (zenon_L597_); trivial. % 1.55/1.65 apply (zenon_L731_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L672_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_L778_); trivial. % 1.55/1.65 apply (zenon_L597_); trivial. % 1.55/1.65 apply (zenon_L431_); trivial. % 1.55/1.65 apply (zenon_L683_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_L691_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L402_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L634_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_L774_); trivial. % 1.55/1.65 apply (zenon_L784_); trivial. % 1.55/1.65 apply (zenon_L786_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L787_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.65 apply (zenon_L685_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.55/1.65 apply (zenon_L777_); trivial. % 1.55/1.65 apply (zenon_L788_); trivial. % 1.55/1.65 apply (zenon_L784_); trivial. % 1.55/1.65 apply (zenon_L689_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L106_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L789_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.65 apply (zenon_L401_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.55/1.65 apply (zenon_L487_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.55/1.65 apply (zenon_L775_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_Hf. zenon_intro zenon_H68. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H68). zenon_intro zenon_H39. zenon_intro zenon_H69. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_H37. zenon_intro zenon_H38. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.55/1.65 apply (zenon_L630_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H36 | zenon_intro zenon_H266 ]. % 1.55/1.65 apply (zenon_L14_); trivial. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H13d | zenon_intro zenon_H2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H10a | zenon_intro zenon_H288 ]. % 1.55/1.65 apply (zenon_L755_); trivial. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H1c5 | zenon_intro zenon_Hfc ]. % 1.55/1.65 apply (zenon_L418_); trivial. % 1.55/1.65 exact (zenon_Hfb zenon_Hfc). % 1.55/1.65 exact (zenon_H1 zenon_H2). % 1.55/1.65 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.55/1.65 apply (zenon_L297_); trivial. % 1.55/1.65 apply (zenon_L790_); trivial. % 1.55/1.65 apply (zenon_L25_); trivial. % 1.55/1.65 apply (zenon_L597_); trivial. % 1.55/1.65 apply (zenon_L786_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L787_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.65 apply (zenon_L401_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.55/1.65 apply (zenon_L775_); trivial. % 1.55/1.65 apply (zenon_L788_); trivial. % 1.55/1.65 apply (zenon_L597_); trivial. % 1.55/1.65 apply (zenon_L689_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L199_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L675_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_L677_); trivial. % 1.55/1.65 apply (zenon_L784_); trivial. % 1.55/1.65 apply (zenon_L198_); trivial. % 1.55/1.65 apply (zenon_L682_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_Hf. zenon_intro zenon_H311. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H277. zenon_intro zenon_H312. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H278. zenon_intro zenon_H276. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_L696_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L106_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L702_); trivial. % 1.55/1.65 apply (zenon_L731_); trivial. % 1.55/1.65 apply (zenon_L700_); trivial. % 1.55/1.65 apply (zenon_L703_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_L797_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L106_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L672_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L488_); trivial. % 1.55/1.65 apply (zenon_L731_); trivial. % 1.55/1.65 apply (zenon_L798_); trivial. % 1.55/1.65 apply (zenon_L801_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_L705_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_L797_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L106_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L804_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L488_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.55/1.65 apply (zenon_L536_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H66); [ zenon_intro zenon_H1 | zenon_intro zenon_H61 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.55/1.65 apply (zenon_L278_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.55/1.65 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.55/1.65 apply (zenon_L630_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.55/1.65 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H119 | zenon_intro zenon_H250 ]. % 1.55/1.65 apply (zenon_L792_); trivial. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_Hec | zenon_intro zenon_H79 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H14a | zenon_intro zenon_H158 ]. % 1.55/1.65 apply (zenon_L642_); trivial. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_Hc9 | zenon_intro zenon_H6b ]. % 1.55/1.65 apply (zenon_L51_); trivial. % 1.55/1.65 apply (zenon_L805_); trivial. % 1.55/1.65 apply (zenon_L31_); trivial. % 1.55/1.65 apply (zenon_L161_); trivial. % 1.55/1.65 apply (zenon_L698_); trivial. % 1.55/1.65 apply (zenon_L803_); trivial. % 1.55/1.65 apply (zenon_L798_); trivial. % 1.55/1.65 apply (zenon_L801_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H39a). zenon_intro zenon_Hf. zenon_intro zenon_H39b. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H39b). zenon_intro zenon_H299. zenon_intro zenon_H39c. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H297. zenon_intro zenon_H298. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H125 | zenon_intro zenon_H30f ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_L714_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L806_); trivial. % 1.55/1.65 apply (zenon_L815_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L806_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L675_); trivial. % 1.55/1.65 apply (zenon_L814_); trivial. % 1.55/1.65 apply (zenon_L337_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_L714_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L806_); trivial. % 1.55/1.65 apply (zenon_L816_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_L714_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L806_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L672_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L820_); trivial. % 1.55/1.65 apply (zenon_L821_); trivial. % 1.55/1.65 apply (zenon_L322_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L106_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L672_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L598_); trivial. % 1.55/1.65 apply (zenon_L821_); trivial. % 1.55/1.65 apply (zenon_L322_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L656_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L827_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.65 apply (zenon_L365_); trivial. % 1.55/1.65 apply (zenon_L680_); trivial. % 1.55/1.65 apply (zenon_L831_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_L714_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L806_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L349_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L832_); trivial. % 1.55/1.65 apply (zenon_L786_); trivial. % 1.55/1.65 apply (zenon_L322_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L106_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L349_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L598_); trivial. % 1.55/1.65 apply (zenon_L786_); trivial. % 1.55/1.65 apply (zenon_L322_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L806_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L349_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.65 apply (zenon_L832_); trivial. % 1.55/1.65 apply (zenon_L830_); trivial. % 1.55/1.65 apply (zenon_L831_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_Hf. zenon_intro zenon_H311. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H277. zenon_intro zenon_H312. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H278. zenon_intro zenon_H276. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_L714_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L267_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L672_); trivial. % 1.55/1.65 apply (zenon_L836_); trivial. % 1.55/1.65 apply (zenon_L337_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L106_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L672_); trivial. % 1.55/1.65 apply (zenon_L843_); trivial. % 1.55/1.65 apply (zenon_L322_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L267_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L675_); trivial. % 1.55/1.65 apply (zenon_L844_); trivial. % 1.55/1.65 apply (zenon_L337_); trivial. % 1.55/1.65 apply (zenon_L800_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.65 apply (zenon_L714_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L267_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L349_); trivial. % 1.55/1.65 apply (zenon_L836_); trivial. % 1.55/1.65 apply (zenon_L322_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L106_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L349_); trivial. % 1.55/1.65 apply (zenon_L843_); trivial. % 1.55/1.65 apply (zenon_L337_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.65 apply (zenon_L267_); trivial. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.65 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.65 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.65 apply (zenon_L349_); trivial. % 1.55/1.65 apply (zenon_L844_); trivial. % 1.55/1.66 apply (zenon_L322_); trivial. % 1.55/1.66 apply (zenon_L800_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_L714_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L267_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L672_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_L846_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.66 apply (zenon_L845_); trivial. % 1.55/1.66 apply (zenon_L389_); trivial. % 1.55/1.66 apply (zenon_L322_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_L848_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L855_); trivial. % 1.55/1.66 apply (zenon_L857_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_L859_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L267_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L349_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_L832_); trivial. % 1.55/1.66 apply (zenon_L861_); trivial. % 1.55/1.66 apply (zenon_L322_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L106_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L349_); trivial. % 1.55/1.66 apply (zenon_L862_); trivial. % 1.55/1.66 apply (zenon_L322_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L656_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L349_); trivial. % 1.55/1.66 apply (zenon_L847_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L863_); trivial. % 1.55/1.66 apply (zenon_L857_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H397). zenon_intro zenon_Hf. zenon_intro zenon_H3a1. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H3a1). zenon_intro zenon_H2ea. zenon_intro zenon_H3a2. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H3a2). zenon_intro zenon_H2eb. zenon_intro zenon_H2e9. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H142 | zenon_intro zenon_H398 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H15a | zenon_intro zenon_H399 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H17f | zenon_intro zenon_H39a ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H125 | zenon_intro zenon_H30f ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L870_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_L872_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.66 apply (zenon_L873_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L54_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_L874_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.66 apply (zenon_L884_); trivial. % 1.55/1.66 apply (zenon_L886_); trivial. % 1.55/1.66 apply (zenon_L892_); trivial. % 1.55/1.66 apply (zenon_L129_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L896_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_L898_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L168_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.55/1.66 apply (zenon_L135_); trivial. % 1.55/1.66 apply (zenon_L883_); trivial. % 1.55/1.66 apply (zenon_L101_); trivial. % 1.55/1.66 apply (zenon_L901_); trivial. % 1.55/1.66 apply (zenon_L906_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_L169_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L106_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_L909_); trivial. % 1.55/1.66 apply (zenon_L921_); trivial. % 1.55/1.66 apply (zenon_L922_); trivial. % 1.55/1.66 apply (zenon_L128_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.66 apply (zenon_L950_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_L952_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_L169_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L106_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_L909_); trivial. % 1.55/1.66 apply (zenon_L958_); trivial. % 1.55/1.66 apply (zenon_L128_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_Hf. zenon_intro zenon_H311. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H277. zenon_intro zenon_H312. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H278. zenon_intro zenon_H276. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L267_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_L872_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.66 apply (zenon_L873_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L54_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_L874_); trivial. % 1.55/1.66 apply (zenon_L960_); trivial. % 1.55/1.66 apply (zenon_L892_); trivial. % 1.55/1.66 apply (zenon_L129_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_L961_); trivial. % 1.55/1.66 apply (zenon_L901_); trivial. % 1.55/1.66 apply (zenon_L302_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.66 apply (zenon_L967_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_L952_); trivial. % 1.55/1.66 apply (zenon_L302_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H39a). zenon_intro zenon_Hf. zenon_intro zenon_H39b. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H39b). zenon_intro zenon_H299. zenon_intro zenon_H39c. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H297. zenon_intro zenon_H298. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H125 | zenon_intro zenon_H30f ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_L973_); trivial. % 1.55/1.66 apply (zenon_L348_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_L977_); trivial. % 1.55/1.66 apply (zenon_L363_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_L934_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_L940_); trivial. % 1.55/1.66 apply (zenon_L616_); trivial. % 1.55/1.66 apply (zenon_L984_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_Hf. zenon_intro zenon_H311. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H277. zenon_intro zenon_H312. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H278. zenon_intro zenon_H276. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_L973_); trivial. % 1.55/1.66 apply (zenon_L379_); trivial. % 1.55/1.66 apply (zenon_L986_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.66 apply (zenon_L967_); trivial. % 1.55/1.66 apply (zenon_L984_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H399). zenon_intro zenon_Hf. zenon_intro zenon_H39d. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H39d). zenon_intro zenon_H2b3. zenon_intro zenon_H39e. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H39e). zenon_intro zenon_H2b4. zenon_intro zenon_H2b2. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H17f | zenon_intro zenon_H39a ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H125 | zenon_intro zenon_H30f ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L870_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_L872_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.66 apply (zenon_L873_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L54_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.66 apply (zenon_L393_); trivial. % 1.55/1.66 apply (zenon_L869_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.66 apply (zenon_L884_); trivial. % 1.55/1.66 apply (zenon_L389_); trivial. % 1.55/1.66 apply (zenon_L991_); trivial. % 1.55/1.66 apply (zenon_L992_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L402_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_L996_); trivial. % 1.55/1.66 apply (zenon_L1000_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L106_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_L996_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.66 apply (zenon_L866_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L124_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.66 apply (zenon_L1001_); trivial. % 1.55/1.66 apply (zenon_L886_); trivial. % 1.55/1.66 apply (zenon_L999_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L437_); trivial. % 1.55/1.66 apply (zenon_L1003_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L902_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_L898_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.66 apply (zenon_L866_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L168_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.66 apply (zenon_L1007_); trivial. % 1.55/1.66 apply (zenon_L1009_); trivial. % 1.55/1.66 apply (zenon_L1010_); trivial. % 1.55/1.66 apply (zenon_L991_); trivial. % 1.55/1.66 apply (zenon_L906_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L896_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_L898_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.66 apply (zenon_L866_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L168_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_L1011_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.66 apply (zenon_L1013_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.55/1.66 apply (zenon_L998_); trivial. % 1.55/1.66 apply (zenon_L1015_); trivial. % 1.55/1.66 apply (zenon_L1017_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L106_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_L1018_); trivial. % 1.55/1.66 apply (zenon_L1024_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_L1026_); trivial. % 1.55/1.66 apply (zenon_L1034_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L1036_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_L1026_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.66 apply (zenon_L1037_); trivial. % 1.55/1.66 apply (zenon_L891_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L896_); trivial. % 1.55/1.66 apply (zenon_L1041_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L1045_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_L202_); trivial. % 1.55/1.66 apply (zenon_L1024_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.66 apply (zenon_L1025_); trivial. % 1.55/1.66 apply (zenon_L358_); trivial. % 1.55/1.66 apply (zenon_L210_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L1036_); trivial. % 1.55/1.66 apply (zenon_L903_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.66 apply (zenon_L950_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_L952_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_L893_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.55/1.66 apply (zenon_L505_); trivial. % 1.55/1.66 apply (zenon_L139_); trivial. % 1.55/1.66 apply (zenon_L1046_); trivial. % 1.55/1.66 apply (zenon_L895_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_L898_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L168_); trivial. % 1.55/1.66 apply (zenon_L1053_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L168_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_L1011_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.66 apply (zenon_L1013_); trivial. % 1.55/1.66 apply (zenon_L1052_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L106_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L1058_); trivial. % 1.55/1.66 apply (zenon_L1060_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L1063_); trivial. % 1.55/1.66 apply (zenon_L1064_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L1058_); trivial. % 1.55/1.66 apply (zenon_L1067_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L1063_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_L1062_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.55/1.66 apply (zenon_L525_); trivial. % 1.55/1.66 apply (zenon_L1020_); trivial. % 1.55/1.66 apply (zenon_L1069_); trivial. % 1.55/1.66 apply (zenon_L1066_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_L893_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L1040_); trivial. % 1.55/1.66 apply (zenon_L1046_); trivial. % 1.55/1.66 apply (zenon_L895_); trivial. % 1.55/1.66 apply (zenon_L243_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_L202_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.66 apply (zenon_L1021_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.55/1.66 apply (zenon_L505_); trivial. % 1.55/1.66 apply (zenon_L1072_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_L1059_); trivial. % 1.55/1.66 apply (zenon_L210_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_L1042_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.66 apply (zenon_L1021_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.55/1.66 apply (zenon_L894_); trivial. % 1.55/1.66 apply (zenon_L1072_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_L1042_); trivial. % 1.55/1.66 apply (zenon_L210_); trivial. % 1.55/1.66 apply (zenon_L243_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_Hf. zenon_intro zenon_H311. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H277. zenon_intro zenon_H312. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H278. zenon_intro zenon_H276. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L267_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_L872_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.66 apply (zenon_L873_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L54_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_L479_); trivial. % 1.55/1.66 apply (zenon_L960_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L106_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_L872_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.66 apply (zenon_L873_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L240_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_L115_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.66 apply (zenon_L990_); trivial. % 1.55/1.66 apply (zenon_L389_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L267_); trivial. % 1.55/1.66 apply (zenon_L904_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L267_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_L1074_); trivial. % 1.55/1.66 apply (zenon_L1000_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L106_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_L1074_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.66 apply (zenon_L873_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L124_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_L488_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.55/1.66 apply (zenon_L998_); trivial. % 1.55/1.66 apply (zenon_L989_); trivial. % 1.55/1.66 apply (zenon_L389_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L267_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_L1074_); trivial. % 1.55/1.66 apply (zenon_L1002_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_L961_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L888_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_L872_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.55/1.66 apply (zenon_L135_); trivial. % 1.55/1.66 apply (zenon_L989_); trivial. % 1.55/1.66 apply (zenon_L530_); trivial. % 1.55/1.66 apply (zenon_L906_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L267_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_L898_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L168_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_L1011_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.55/1.66 apply (zenon_L525_); trivial. % 1.55/1.66 apply (zenon_L959_); trivial. % 1.55/1.66 apply (zenon_L556_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L106_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L1077_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.55/1.66 apply (zenon_L1029_); trivial. % 1.55/1.66 apply (zenon_L1075_); trivial. % 1.55/1.66 apply (zenon_L530_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.66 apply (zenon_L1035_); trivial. % 1.55/1.66 apply (zenon_L300_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.66 apply (zenon_L1025_); trivial. % 1.55/1.66 apply (zenon_L1078_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.66 apply (zenon_L1037_); trivial. % 1.55/1.66 apply (zenon_L530_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L267_); trivial. % 1.55/1.66 apply (zenon_L1041_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L267_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L1077_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_L1079_); trivial. % 1.55/1.66 apply (zenon_L210_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_L202_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.66 apply (zenon_L1035_); trivial. % 1.55/1.66 apply (zenon_L1080_); trivial. % 1.55/1.66 apply (zenon_L903_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.66 apply (zenon_L967_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_L962_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L267_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_L898_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L168_); trivial. % 1.55/1.66 apply (zenon_L1083_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L106_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L1084_); trivial. % 1.55/1.66 apply (zenon_L1087_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L1084_); trivial. % 1.55/1.66 apply (zenon_L1083_); trivial. % 1.55/1.66 apply (zenon_L542_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H39a). zenon_intro zenon_Hf. zenon_intro zenon_H39b. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H39b). zenon_intro zenon_H299. zenon_intro zenon_H39c. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H297. zenon_intro zenon_H298. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H125 | zenon_intro zenon_H30f ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_L973_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L1093_); trivial. % 1.55/1.66 apply (zenon_L1094_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_L338_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L347_); trivial. % 1.55/1.66 apply (zenon_L1094_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_L977_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L896_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L349_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.66 apply (zenon_L1097_); trivial. % 1.55/1.66 apply (zenon_L1033_); trivial. % 1.55/1.66 apply (zenon_L337_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L106_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L349_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_L1101_); trivial. % 1.55/1.66 apply (zenon_L1034_); trivial. % 1.55/1.66 apply (zenon_L337_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_L338_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L1045_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L349_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_L1101_); trivial. % 1.55/1.66 apply (zenon_L346_); trivial. % 1.55/1.66 apply (zenon_L337_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L971_); trivial. % 1.55/1.66 apply (zenon_L928_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L1093_); trivial. % 1.55/1.66 apply (zenon_L938_); trivial. % 1.55/1.66 apply (zenon_L616_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_L983_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_L893_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L349_); trivial. % 1.55/1.66 apply (zenon_L1046_); trivial. % 1.55/1.66 apply (zenon_L895_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L349_); trivial. % 1.55/1.66 apply (zenon_L1060_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L349_); trivial. % 1.55/1.66 apply (zenon_L1064_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L349_); trivial. % 1.55/1.66 apply (zenon_L1053_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L349_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_L1062_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.55/1.66 apply (zenon_L1102_); trivial. % 1.55/1.66 apply (zenon_L1012_); trivial. % 1.55/1.66 apply (zenon_L1052_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L106_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L349_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_L1059_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.66 apply (zenon_L1065_); trivial. % 1.55/1.66 apply (zenon_L1103_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L349_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_L1062_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.66 apply (zenon_L1104_); trivial. % 1.55/1.66 apply (zenon_L1103_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L349_); trivial. % 1.55/1.66 apply (zenon_L1067_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L349_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_L1062_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.66 apply (zenon_L1104_); trivial. % 1.55/1.66 apply (zenon_L1066_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_L338_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L349_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.66 apply (zenon_L1106_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.55/1.66 apply (zenon_L935_); trivial. % 1.55/1.66 apply (zenon_L1109_); trivial. % 1.55/1.66 apply (zenon_L346_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L349_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.66 apply (zenon_L1106_); trivial. % 1.55/1.66 apply (zenon_L1110_); trivial. % 1.55/1.66 apply (zenon_L1111_); trivial. % 1.55/1.66 apply (zenon_L243_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_Hf. zenon_intro zenon_H311. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H277. zenon_intro zenon_H312. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H278. zenon_intro zenon_H276. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_L985_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L267_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_L1074_); trivial. % 1.55/1.66 apply (zenon_L337_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_L985_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L267_); trivial. % 1.55/1.66 apply (zenon_L1115_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_L338_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L267_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L349_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_L1079_); trivial. % 1.55/1.66 apply (zenon_L346_); trivial. % 1.55/1.66 apply (zenon_L337_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.66 apply (zenon_L967_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L902_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.66 apply (zenon_L1116_); trivial. % 1.55/1.66 apply (zenon_L559_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L106_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.66 apply (zenon_L1116_); trivial. % 1.55/1.66 apply (zenon_L530_); trivial. % 1.55/1.66 apply (zenon_L381_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L267_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_L1117_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L349_); trivial. % 1.55/1.66 apply (zenon_L1083_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H398). zenon_intro zenon_Hf. zenon_intro zenon_H39f. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H39f). zenon_intro zenon_H2ca. zenon_intro zenon_H3a0. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H3a0). zenon_intro zenon_H2c9. zenon_intro zenon_H2c8. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H15a | zenon_intro zenon_H399 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H17f | zenon_intro zenon_H39a ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H125 | zenon_intro zenon_H30f ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_L1129_); trivial. % 1.55/1.66 apply (zenon_L128_); trivial. % 1.55/1.66 apply (zenon_L1143_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_L1152_); trivial. % 1.55/1.66 apply (zenon_L1156_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_Hf. zenon_intro zenon_H311. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H277. zenon_intro zenon_H312. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H278. zenon_intro zenon_H276. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_L1158_); trivial. % 1.55/1.66 apply (zenon_L1162_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_L1164_); trivial. % 1.55/1.66 apply (zenon_L1167_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H39a). zenon_intro zenon_Hf. zenon_intro zenon_H39b. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H39b). zenon_intro zenon_H299. zenon_intro zenon_H39c. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H297. zenon_intro zenon_H298. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H125 | zenon_intro zenon_H30f ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_L1171_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_L1182_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_L1172_); trivial. % 1.55/1.66 apply (zenon_L1183_); trivial. % 1.55/1.66 apply (zenon_L125_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_L1194_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_L1199_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_L1176_); trivial. % 1.55/1.66 apply (zenon_L1206_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_Hf. zenon_intro zenon_H311. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H277. zenon_intro zenon_H312. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H278. zenon_intro zenon_H276. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_L985_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_L1208_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L267_); trivial. % 1.55/1.66 apply (zenon_L1180_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_L1211_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_L1166_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_L1214_); trivial. % 1.55/1.66 apply (zenon_L1206_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H399). zenon_intro zenon_Hf. zenon_intro zenon_H39d. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H39d). zenon_intro zenon_H2b3. zenon_intro zenon_H39e. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H39e). zenon_intro zenon_H2b4. zenon_intro zenon_H2b2. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H17f | zenon_intro zenon_H39a ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H125 | zenon_intro zenon_H30f ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_L1220_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_L1126_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L106_); trivial. % 1.55/1.66 apply (zenon_L1231_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_L1215_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L1219_); trivial. % 1.55/1.66 apply (zenon_L1231_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_L1220_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_L1126_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L106_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.66 apply (zenon_L866_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L1232_); trivial. % 1.55/1.66 apply (zenon_L1230_); trivial. % 1.55/1.66 apply (zenon_L1127_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_L1215_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L1219_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.66 apply (zenon_L866_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L1232_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_L1224_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.66 apply (zenon_L1226_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.55/1.66 apply (zenon_L1223_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H146 | zenon_intro zenon_H154 ]. % 1.55/1.66 apply (zenon_L988_); trivial. % 1.55/1.66 apply (zenon_L1234_); trivial. % 1.55/1.66 apply (zenon_L1139_); trivial. % 1.55/1.66 apply (zenon_L1127_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_L1152_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_L1240_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L106_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.66 apply (zenon_L1243_); trivial. % 1.55/1.66 apply (zenon_L1244_); trivial. % 1.55/1.66 apply (zenon_L1245_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_L1240_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L1205_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.66 apply (zenon_L1243_); trivial. % 1.55/1.66 apply (zenon_L1249_); trivial. % 1.55/1.66 apply (zenon_L1245_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_L1250_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L656_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_L1119_); trivial. % 1.55/1.66 apply (zenon_L1254_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L106_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_L652_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.66 apply (zenon_L768_); trivial. % 1.55/1.66 apply (zenon_L1246_); trivial. % 1.55/1.66 apply (zenon_L1242_); trivial. % 1.55/1.66 apply (zenon_L1244_); trivial. % 1.55/1.66 apply (zenon_L1254_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L656_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_L1119_); trivial. % 1.55/1.66 apply (zenon_L1259_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L1205_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_L652_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.55/1.66 apply (zenon_L763_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H10a | zenon_intro zenon_H288 ]. % 1.55/1.66 apply (zenon_L766_); trivial. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H1c5 | zenon_intro zenon_Hfc ]. % 1.55/1.66 apply (zenon_L242_); trivial. % 1.55/1.66 exact (zenon_Hfb zenon_Hfc). % 1.55/1.66 apply (zenon_L1246_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_L1224_); trivial. % 1.55/1.66 apply (zenon_L1248_); trivial. % 1.55/1.66 apply (zenon_L1259_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_Hf. zenon_intro zenon_H311. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H277. zenon_intro zenon_H312. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H278. zenon_intro zenon_H276. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_L1158_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_L1157_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L267_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.66 apply (zenon_L1261_); trivial. % 1.55/1.66 apply (zenon_L1160_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.66 apply (zenon_L1262_); trivial. % 1.55/1.66 apply (zenon_L1160_); trivial. % 1.55/1.66 apply (zenon_L1127_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_L1164_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_L1268_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L106_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_L1264_); trivial. % 1.55/1.66 apply (zenon_L1269_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_L1268_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L267_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_L1264_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L1236_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_L856_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.66 apply (zenon_L643_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.66 apply (zenon_L1247_); trivial. % 1.55/1.66 apply (zenon_L1153_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H39a). zenon_intro zenon_Hf. zenon_intro zenon_H39b. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H39b). zenon_intro zenon_H299. zenon_intro zenon_H39c. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H297. zenon_intro zenon_H298. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H125 | zenon_intro zenon_H30f ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_L1274_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L1272_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L1222_); trivial. % 1.55/1.66 apply (zenon_L1276_); trivial. % 1.55/1.66 apply (zenon_L337_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L106_); trivial. % 1.55/1.66 apply (zenon_L1278_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L1273_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L1222_); trivial. % 1.55/1.66 apply (zenon_L1279_); trivial. % 1.55/1.66 apply (zenon_L337_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_L1274_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L1272_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L349_); trivial. % 1.55/1.66 apply (zenon_L1276_); trivial. % 1.55/1.66 apply (zenon_L337_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L106_); trivial. % 1.55/1.66 apply (zenon_L1280_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L1273_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L349_); trivial. % 1.55/1.66 apply (zenon_L1279_); trivial. % 1.55/1.66 apply (zenon_L337_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_L1194_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L656_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L1222_); trivial. % 1.55/1.66 apply (zenon_L1282_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L672_); trivial. % 1.55/1.66 apply (zenon_L1283_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.66 apply (zenon_L1239_); trivial. % 1.55/1.66 apply (zenon_L1188_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L106_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L672_); trivial. % 1.55/1.66 apply (zenon_L1284_); trivial. % 1.55/1.66 apply (zenon_L1287_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L1236_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_L1237_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.66 apply (zenon_L643_); trivial. % 1.55/1.66 apply (zenon_L1288_); trivial. % 1.55/1.66 apply (zenon_L1188_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L656_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L1222_); trivial. % 1.55/1.66 apply (zenon_L1290_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L1291_); trivial. % 1.55/1.66 apply (zenon_L1292_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L1236_); trivial. % 1.55/1.66 apply (zenon_L1290_); trivial. % 1.55/1.66 apply (zenon_L1188_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L827_); trivial. % 1.55/1.66 apply (zenon_L1293_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.66 apply (zenon_L1298_); trivial. % 1.55/1.66 apply (zenon_L1287_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L1236_); trivial. % 1.55/1.66 apply (zenon_L1297_); trivial. % 1.55/1.66 apply (zenon_L1300_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_L1301_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L656_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L349_); trivial. % 1.55/1.66 apply (zenon_L1282_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L349_); trivial. % 1.55/1.66 apply (zenon_L1283_); trivial. % 1.55/1.66 apply (zenon_L1302_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L106_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L349_); trivial. % 1.55/1.66 apply (zenon_L1284_); trivial. % 1.55/1.66 apply (zenon_L1303_); trivial. % 1.55/1.66 apply (zenon_L1302_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L656_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L349_); trivial. % 1.55/1.66 apply (zenon_L1290_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_Hf. zenon_intro zenon_H2c6. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H257. zenon_intro zenon_H2c7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H259. zenon_intro zenon_H258. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L349_); trivial. % 1.55/1.66 apply (zenon_L1292_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L349_); trivial. % 1.55/1.66 apply (zenon_L1293_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2f2); [ zenon_intro zenon_H240 | zenon_intro zenon_H2c5 ]. % 1.55/1.66 apply (zenon_L1298_); trivial. % 1.55/1.66 apply (zenon_L1303_); trivial. % 1.55/1.66 apply (zenon_L1304_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_Hf. zenon_intro zenon_H311. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H277. zenon_intro zenon_H312. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H278. zenon_intro zenon_H276. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_L985_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L267_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L1222_); trivial. % 1.55/1.66 apply (zenon_L1306_); trivial. % 1.55/1.66 apply (zenon_L337_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_L985_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L267_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L349_); trivial. % 1.55/1.66 apply (zenon_L1306_); trivial. % 1.55/1.66 apply (zenon_L337_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_L1211_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L656_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L672_); trivial. % 1.55/1.66 apply (zenon_L1263_); trivial. % 1.55/1.66 apply (zenon_L1267_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L106_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_L1307_); trivial. % 1.55/1.66 apply (zenon_L1269_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_L1214_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L855_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_L1307_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L1236_); trivial. % 1.55/1.66 apply (zenon_L1308_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_L1310_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L106_); trivial. % 1.55/1.66 apply (zenon_L1313_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_L1310_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_L893_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_L115_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.55/1.66 apply (zenon_L135_); trivial. % 1.55/1.66 apply (zenon_L849_); trivial. % 1.55/1.66 apply (zenon_L1313_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L656_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_L1314_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L349_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.66 apply (zenon_L1081_); trivial. % 1.55/1.66 apply (zenon_L1120_); trivial. % 1.55/1.66 apply (zenon_L1252_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L106_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_L1314_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L349_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_L564_); trivial. % 1.55/1.66 apply (zenon_L1252_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L656_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L349_); trivial. % 1.55/1.66 apply (zenon_L1213_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L863_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L349_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_L856_); trivial. % 1.55/1.66 apply (zenon_L1296_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H396). zenon_intro zenon_Hf. zenon_intro zenon_H3a3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H3a3). zenon_intro zenon_H306. zenon_intro zenon_H3a4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H3a4). zenon_intro zenon_H304. zenon_intro zenon_H305. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H31a); [ zenon_intro zenon_Hb1 | zenon_intro zenon_H397 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H142 | zenon_intro zenon_H398 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H15a | zenon_intro zenon_H399 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H17f | zenon_intro zenon_H39a ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H125 | zenon_intro zenon_H30f ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_L1316_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L106_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_L1319_); trivial. % 1.55/1.66 apply (zenon_L1323_); trivial. % 1.55/1.66 apply (zenon_L1329_); trivial. % 1.55/1.66 apply (zenon_L1331_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_L1338_); trivial. % 1.55/1.66 apply (zenon_L1342_); trivial. % 1.55/1.66 apply (zenon_L128_); trivial. % 1.55/1.66 apply (zenon_L1346_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_L1316_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L106_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_L1319_); trivial. % 1.55/1.66 apply (zenon_L1350_); trivial. % 1.55/1.66 apply (zenon_L1351_); trivial. % 1.55/1.66 apply (zenon_L1331_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_L1338_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L106_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_L133_); trivial. % 1.55/1.66 apply (zenon_L1350_); trivial. % 1.55/1.66 apply (zenon_L128_); trivial. % 1.55/1.66 apply (zenon_L1346_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_Hf. zenon_intro zenon_H311. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H277. zenon_intro zenon_H312. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H278. zenon_intro zenon_H276. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.66 apply (zenon_L1354_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_L1338_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L106_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_L286_); trivial. % 1.55/1.66 apply (zenon_L1323_); trivial. % 1.55/1.66 apply (zenon_L128_); trivial. % 1.55/1.66 apply (zenon_L302_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H39a). zenon_intro zenon_Hf. zenon_intro zenon_H39b. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H39b). zenon_intro zenon_H299. zenon_intro zenon_H39c. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H297. zenon_intro zenon_H298. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H125 | zenon_intro zenon_H30f ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_L1358_); trivial. % 1.55/1.66 apply (zenon_L1331_); trivial. % 1.55/1.66 apply (zenon_L1365_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.66 apply (zenon_L1369_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L1361_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_L1335_); trivial. % 1.55/1.66 apply (zenon_L322_); trivial. % 1.55/1.66 apply (zenon_L371_); trivial. % 1.55/1.66 apply (zenon_L1368_); trivial. % 1.55/1.66 apply (zenon_L363_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_Hf. zenon_intro zenon_H311. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H277. zenon_intro zenon_H312. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H278. zenon_intro zenon_H276. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.66 apply (zenon_L1370_); trivial. % 1.55/1.66 apply (zenon_L1365_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.66 apply (zenon_L1369_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L1361_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L153_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.66 apply (zenon_L365_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.66 apply (zenon_L1372_); trivial. % 1.55/1.66 apply (zenon_L619_); trivial. % 1.55/1.66 apply (zenon_L322_); trivial. % 1.55/1.66 apply (zenon_L381_); trivial. % 1.55/1.66 apply (zenon_L363_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H399). zenon_intro zenon_Hf. zenon_intro zenon_H39d. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H39d). zenon_intro zenon_H2b3. zenon_intro zenon_H39e. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H39e). zenon_intro zenon_H2b4. zenon_intro zenon_H2b2. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H17f | zenon_intro zenon_H39a ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H125 | zenon_intro zenon_H30f ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_L1316_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L106_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_L1340_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L240_); trivial. % 1.55/1.66 apply (zenon_L1378_); trivial. % 1.55/1.66 apply (zenon_L1329_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_L1316_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L106_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L124_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.66 apply (zenon_L1377_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.66 apply (zenon_L1379_); trivial. % 1.55/1.66 apply (zenon_L435_); trivial. % 1.55/1.66 apply (zenon_L1330_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L1380_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_L1340_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.66 apply (zenon_L1381_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.66 apply (zenon_L1339_); trivial. % 1.55/1.66 apply (zenon_L1382_); trivial. % 1.55/1.66 apply (zenon_L1341_); trivial. % 1.55/1.66 apply (zenon_L1342_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L1385_); trivial. % 1.55/1.66 apply (zenon_L1386_); trivial. % 1.55/1.66 apply (zenon_L1387_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L1380_); trivial. % 1.55/1.66 apply (zenon_L1388_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L1393_); trivial. % 1.55/1.66 apply (zenon_L1386_); trivial. % 1.55/1.66 apply (zenon_L1387_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_L1316_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L106_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_L1394_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L240_); trivial. % 1.55/1.66 apply (zenon_L1396_); trivial. % 1.55/1.66 apply (zenon_L1351_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_L1316_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L106_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L124_); trivial. % 1.55/1.66 apply (zenon_L1396_); trivial. % 1.55/1.66 apply (zenon_L1351_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L1380_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_L1394_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L168_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.66 apply (zenon_L1381_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.66 apply (zenon_L1397_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.55/1.66 apply (zenon_L467_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ]. % 1.55/1.66 apply (zenon_L156_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_Hf. zenon_intro zenon_H1de. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d6. zenon_intro zenon_H1df. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.55/1.66 apply (zenon_L456_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_Hf. zenon_intro zenon_H88. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H7a. zenon_intro zenon_H89. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H89). zenon_intro zenon_H7b. zenon_intro zenon_H7c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_Had | zenon_intro zenon_Hbc ]. % 1.55/1.66 apply (zenon_L447_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_Hf. zenon_intro zenon_Hbd. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_Hb3. zenon_intro zenon_Hbe. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1c9 ]. % 1.55/1.66 apply (zenon_L468_); trivial. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H143 ]. % 1.55/1.66 apply (zenon_L309_); trivial. % 1.55/1.66 exact (zenon_H142 zenon_H143). % 1.55/1.66 apply (zenon_L1399_); trivial. % 1.55/1.66 apply (zenon_L1401_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L1385_); trivial. % 1.55/1.66 apply (zenon_L243_); trivial. % 1.55/1.66 apply (zenon_L1403_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L1380_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L168_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.66 apply (zenon_L1395_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.66 apply (zenon_L1379_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.55/1.66 apply (zenon_L467_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1dd ]. % 1.55/1.66 apply (zenon_L156_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_Hf. zenon_intro zenon_H1de. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1d6. zenon_intro zenon_H1df. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1d4. zenon_intro zenon_H1d5. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.55/1.66 apply (zenon_L368_); trivial. % 1.55/1.66 apply (zenon_L521_); trivial. % 1.55/1.66 apply (zenon_L1405_); trivial. % 1.55/1.66 apply (zenon_L1401_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L1393_); trivial. % 1.55/1.66 apply (zenon_L243_); trivial. % 1.55/1.66 apply (zenon_L1403_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_Hf. zenon_intro zenon_H311. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H277. zenon_intro zenon_H312. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H278. zenon_intro zenon_H276. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_L1353_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_L1316_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L1407_); trivial. % 1.55/1.66 apply (zenon_L1408_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L1380_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.66 apply (zenon_L1379_); trivial. % 1.55/1.66 apply (zenon_L300_); trivial. % 1.55/1.66 apply (zenon_L1412_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L106_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.66 apply (zenon_L1379_); trivial. % 1.55/1.66 apply (zenon_L530_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_L1413_); trivial. % 1.55/1.66 apply (zenon_L198_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H39a). zenon_intro zenon_Hf. zenon_intro zenon_H39b. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H39b). zenon_intro zenon_H299. zenon_intro zenon_H39c. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H297. zenon_intro zenon_H298. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H125 | zenon_intro zenon_H30f ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_L1358_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_L1316_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L106_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L124_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.66 apply (zenon_L1377_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.66 apply (zenon_L1379_); trivial. % 1.55/1.66 apply (zenon_L1416_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L1355_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L124_); trivial. % 1.55/1.66 apply (zenon_L1356_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L1361_); trivial. % 1.55/1.66 apply (zenon_L1417_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.66 apply (zenon_L1369_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L1361_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L349_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.66 apply (zenon_L1381_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.66 apply (zenon_L1379_); trivial. % 1.55/1.66 apply (zenon_L1420_); trivial. % 1.55/1.66 apply (zenon_L1422_); trivial. % 1.55/1.66 apply (zenon_L322_); trivial. % 1.55/1.66 apply (zenon_L1368_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_Hf. zenon_intro zenon_H311. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H277. zenon_intro zenon_H312. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H278. zenon_intro zenon_H276. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.66 apply (zenon_L1370_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L1423_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L349_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.66 apply (zenon_L1425_); trivial. % 1.55/1.66 apply (zenon_L1411_); trivial. % 1.55/1.66 apply (zenon_L322_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L106_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.66 apply (zenon_L349_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.66 apply (zenon_L1425_); trivial. % 1.55/1.66 apply (zenon_L1426_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.66 apply (zenon_L1421_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.66 apply (zenon_L1379_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.55/1.66 apply (zenon_L618_); trivial. % 1.55/1.66 apply (zenon_L1429_); trivial. % 1.55/1.66 apply (zenon_L337_); trivial. % 1.55/1.66 apply (zenon_L1430_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.66 apply (zenon_L1432_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L1423_); trivial. % 1.55/1.66 apply (zenon_L1434_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L106_); trivial. % 1.55/1.66 apply (zenon_L1434_); trivial. % 1.55/1.66 apply (zenon_L1430_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H398). zenon_intro zenon_Hf. zenon_intro zenon_H39f. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H39f). zenon_intro zenon_H2ca. zenon_intro zenon_H3a0. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H3a0). zenon_intro zenon_H2c9. zenon_intro zenon_H2c8. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H15a | zenon_intro zenon_H399 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H17f | zenon_intro zenon_H39a ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H125 | zenon_intro zenon_H30f ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_L1316_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_L106_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_L1437_); trivial. % 1.55/1.66 apply (zenon_L650_); trivial. % 1.55/1.66 apply (zenon_L128_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_L1316_); trivial. % 1.55/1.66 apply (zenon_L653_); trivial. % 1.55/1.66 apply (zenon_L128_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_L1440_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.66 apply (zenon_L707_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.66 apply (zenon_L120_); trivial. % 1.55/1.66 apply (zenon_L1441_); trivial. % 1.55/1.66 apply (zenon_L188_); trivial. % 1.55/1.66 apply (zenon_L651_); trivial. % 1.55/1.66 apply (zenon_L653_); trivial. % 1.55/1.66 apply (zenon_L128_); trivial. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.66 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.66 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1316_); trivial. % 1.55/1.67 apply (zenon_L663_); trivial. % 1.55/1.67 apply (zenon_L128_); trivial. % 1.55/1.67 apply (zenon_L692_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.67 apply (zenon_L1440_); trivial. % 1.55/1.67 apply (zenon_L692_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_Hf. zenon_intro zenon_H311. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H277. zenon_intro zenon_H312. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H278. zenon_intro zenon_H276. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1316_); trivial. % 1.55/1.67 apply (zenon_L1445_); trivial. % 1.55/1.67 apply (zenon_L128_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1316_); trivial. % 1.55/1.67 apply (zenon_L710_); trivial. % 1.55/1.67 apply (zenon_L128_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1439_); trivial. % 1.55/1.67 apply (zenon_L1446_); trivial. % 1.55/1.67 apply (zenon_L128_); trivial. % 1.55/1.67 apply (zenon_L711_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H39a). zenon_intro zenon_Hf. zenon_intro zenon_H39b. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H39b). zenon_intro zenon_H299. zenon_intro zenon_H39c. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H297. zenon_intro zenon_H298. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H125 | zenon_intro zenon_H30f ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1316_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L106_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.67 apply (zenon_L1437_); trivial. % 1.55/1.67 apply (zenon_L337_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L1355_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.67 apply (zenon_L719_); trivial. % 1.55/1.67 apply (zenon_L1356_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1316_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.67 apply (zenon_L652_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.67 apply (zenon_L823_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.67 apply (zenon_L120_); trivial. % 1.55/1.67 apply (zenon_L613_); trivial. % 1.55/1.67 apply (zenon_L125_); trivial. % 1.55/1.67 apply (zenon_L1447_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1452_); trivial. % 1.55/1.67 apply (zenon_L1453_); trivial. % 1.55/1.67 apply (zenon_L1430_); trivial. % 1.55/1.67 apply (zenon_L363_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1316_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L106_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.67 apply (zenon_L153_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.67 apply (zenon_L365_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.55/1.67 apply (zenon_L623_); trivial. % 1.55/1.67 apply (zenon_L369_); trivial. % 1.55/1.67 apply (zenon_L783_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.67 apply (zenon_L658_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.55/1.67 apply (zenon_L623_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.55/1.67 apply (zenon_L589_); trivial. % 1.55/1.67 apply (zenon_L1347_); trivial. % 1.55/1.67 apply (zenon_L613_); trivial. % 1.55/1.67 apply (zenon_L322_); trivial. % 1.55/1.67 apply (zenon_L1456_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1316_); trivial. % 1.55/1.67 apply (zenon_L1457_); trivial. % 1.55/1.67 apply (zenon_L1447_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L858_); trivial. % 1.55/1.67 apply (zenon_L371_); trivial. % 1.55/1.67 apply (zenon_L1430_); trivial. % 1.55/1.67 apply (zenon_L363_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_Hf. zenon_intro zenon_H311. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H277. zenon_intro zenon_H312. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H278. zenon_intro zenon_H276. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1316_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L106_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.67 apply (zenon_L1444_); trivial. % 1.55/1.67 apply (zenon_L322_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.67 apply (zenon_L721_); trivial. % 1.55/1.67 apply (zenon_L1356_); trivial. % 1.55/1.67 apply (zenon_L1458_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1452_); trivial. % 1.55/1.67 apply (zenon_L380_); trivial. % 1.55/1.67 apply (zenon_L1430_); trivial. % 1.55/1.67 apply (zenon_L363_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1316_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L106_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.67 apply (zenon_L153_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.67 apply (zenon_L365_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.67 apply (zenon_L1459_); trivial. % 1.55/1.67 apply (zenon_L783_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.67 apply (zenon_L658_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.67 apply (zenon_L1459_); trivial. % 1.55/1.67 apply (zenon_L842_); trivial. % 1.55/1.67 apply (zenon_L322_); trivial. % 1.55/1.67 apply (zenon_L1456_); trivial. % 1.55/1.67 apply (zenon_L1458_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L656_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.67 apply (zenon_L153_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.67 apply (zenon_L365_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.67 apply (zenon_L1372_); trivial. % 1.55/1.67 apply (zenon_L1462_); trivial. % 1.55/1.67 apply (zenon_L322_); trivial. % 1.55/1.67 apply (zenon_L380_); trivial. % 1.55/1.67 apply (zenon_L1430_); trivial. % 1.55/1.67 apply (zenon_L363_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H399). zenon_intro zenon_Hf. zenon_intro zenon_H39d. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H39d). zenon_intro zenon_H2b3. zenon_intro zenon_H39e. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H39e). zenon_intro zenon_H2b4. zenon_intro zenon_H2b2. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H17f | zenon_intro zenon_H39a ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H125 | zenon_intro zenon_H30f ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1316_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L106_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.67 apply (zenon_L153_); trivial. % 1.55/1.67 apply (zenon_L1464_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.67 apply (zenon_L115_); trivial. % 1.55/1.67 apply (zenon_L1466_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1316_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.67 apply (zenon_L1467_); trivial. % 1.55/1.67 apply (zenon_L198_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1316_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L106_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.67 apply (zenon_L1468_); trivial. % 1.55/1.67 apply (zenon_L1464_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1316_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L1469_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.67 apply (zenon_L675_); trivial. % 1.55/1.67 apply (zenon_L1464_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.67 apply (zenon_L1471_); trivial. % 1.55/1.67 apply (zenon_L580_); trivial. % 1.55/1.67 apply (zenon_L1474_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.67 apply (zenon_L1475_); trivial. % 1.55/1.67 apply (zenon_L162_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.67 apply (zenon_L1475_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.67 apply (zenon_L643_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.67 apply (zenon_L1379_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.55/1.67 apply (zenon_L759_); trivial. % 1.55/1.67 apply (zenon_L527_); trivial. % 1.55/1.67 apply (zenon_L1477_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.67 apply (zenon_L1471_); trivial. % 1.55/1.67 apply (zenon_L198_); trivial. % 1.55/1.67 apply (zenon_L1478_); trivial. % 1.55/1.67 apply (zenon_L1479_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.67 apply (zenon_L1481_); trivial. % 1.55/1.67 apply (zenon_L1474_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.67 apply (zenon_L634_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.67 apply (zenon_L1475_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.67 apply (zenon_L1421_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.67 apply (zenon_L1379_); trivial. % 1.55/1.67 apply (zenon_L762_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.67 apply (zenon_L1475_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.67 apply (zenon_L643_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.67 apply (zenon_L1379_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.55/1.67 apply (zenon_L759_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.55/1.67 apply (zenon_L679_); trivial. % 1.55/1.67 apply (zenon_L1482_); trivial. % 1.55/1.67 apply (zenon_L633_); trivial. % 1.55/1.67 apply (zenon_L1477_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.67 apply (zenon_L1481_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.67 apply (zenon_L1381_); trivial. % 1.55/1.67 apply (zenon_L1473_); trivial. % 1.55/1.67 apply (zenon_L198_); trivial. % 1.55/1.67 apply (zenon_L1478_); trivial. % 1.55/1.67 apply (zenon_L1479_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1316_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L106_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.67 apply (zenon_L1467_); trivial. % 1.55/1.67 apply (zenon_L1484_); trivial. % 1.55/1.67 apply (zenon_L1489_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1316_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L106_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.67 apply (zenon_L652_); trivial. % 1.55/1.67 apply (zenon_L1484_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.67 apply (zenon_L1379_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H2e | zenon_intro zenon_H67 ]. % 1.55/1.67 apply (zenon_L775_); trivial. % 1.55/1.67 apply (zenon_L1375_); trivial. % 1.55/1.67 apply (zenon_L1485_); trivial. % 1.55/1.67 apply (zenon_L1484_); trivial. % 1.55/1.67 apply (zenon_L1489_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1492_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L106_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.67 apply (zenon_L153_); trivial. % 1.55/1.67 apply (zenon_L1494_); trivial. % 1.55/1.67 apply (zenon_L1495_); trivial. % 1.55/1.67 apply (zenon_L1489_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1492_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L106_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.67 apply (zenon_L652_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.67 apply (zenon_L1465_); trivial. % 1.55/1.67 apply (zenon_L1490_); trivial. % 1.55/1.67 apply (zenon_L1494_); trivial. % 1.55/1.67 apply (zenon_L1489_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_Hf. zenon_intro zenon_H311. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H277. zenon_intro zenon_H312. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H278. zenon_intro zenon_H276. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1316_); trivial. % 1.55/1.67 apply (zenon_L1496_); trivial. % 1.55/1.67 apply (zenon_L1500_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1501_); trivial. % 1.55/1.67 apply (zenon_L1496_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1501_); trivial. % 1.55/1.67 apply (zenon_L1499_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.67 apply (zenon_L706_); trivial. % 1.55/1.67 apply (zenon_L1502_); trivial. % 1.55/1.67 apply (zenon_L1503_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.67 apply (zenon_L634_); trivial. % 1.55/1.67 apply (zenon_L1504_); trivial. % 1.55/1.67 apply (zenon_L1496_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.67 apply (zenon_L675_); trivial. % 1.55/1.67 apply (zenon_L1502_); trivial. % 1.55/1.67 apply (zenon_L1503_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.67 apply (zenon_L675_); trivial. % 1.55/1.67 apply (zenon_L1504_); trivial. % 1.55/1.67 apply (zenon_L1499_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H39a). zenon_intro zenon_Hf. zenon_intro zenon_H39b. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H39b). zenon_intro zenon_H299. zenon_intro zenon_H39c. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H297. zenon_intro zenon_H298. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H125 | zenon_intro zenon_H30f ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_L1506_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L1355_); trivial. % 1.55/1.67 apply (zenon_L1505_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.67 apply (zenon_L349_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.67 apply (zenon_L1379_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.55/1.67 apply (zenon_L1461_); trivial. % 1.55/1.67 apply (zenon_L1390_); trivial. % 1.55/1.67 apply (zenon_L322_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.67 apply (zenon_L349_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.67 apply (zenon_L1425_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.67 apply (zenon_L1379_); trivial. % 1.55/1.67 apply (zenon_L1509_); trivial. % 1.55/1.67 apply (zenon_L322_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L106_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.67 apply (zenon_L349_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.67 apply (zenon_L1379_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_H146 | zenon_intro zenon_H154 ]. % 1.55/1.67 apply (zenon_L324_); trivial. % 1.55/1.67 apply (zenon_L1511_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.67 apply (zenon_L1425_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.67 apply (zenon_L1379_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.55/1.67 apply (zenon_L1461_); trivial. % 1.55/1.67 apply (zenon_L1429_); trivial. % 1.55/1.67 apply (zenon_L337_); trivial. % 1.55/1.67 apply (zenon_L1430_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1316_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L106_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.67 apply (zenon_L153_); trivial. % 1.55/1.67 apply (zenon_L1513_); trivial. % 1.55/1.67 apply (zenon_L322_); trivial. % 1.55/1.67 apply (zenon_L1514_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1316_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L106_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.67 apply (zenon_L652_); trivial. % 1.55/1.67 apply (zenon_L1515_); trivial. % 1.55/1.67 apply (zenon_L1513_); trivial. % 1.55/1.67 apply (zenon_L1514_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L656_); trivial. % 1.55/1.67 apply (zenon_L1516_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L106_); trivial. % 1.55/1.67 apply (zenon_L1516_); trivial. % 1.55/1.67 apply (zenon_L1430_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_Hf. zenon_intro zenon_H311. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H277. zenon_intro zenon_H312. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H278. zenon_intro zenon_H276. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1316_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L106_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.67 apply (zenon_L1498_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.67 apply (zenon_L823_); trivial. % 1.55/1.67 apply (zenon_L1517_); trivial. % 1.55/1.67 apply (zenon_L1518_); trivial. % 1.55/1.67 apply (zenon_L1500_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.67 apply (zenon_L349_); trivial. % 1.55/1.67 apply (zenon_L1502_); trivial. % 1.55/1.67 apply (zenon_L1503_); trivial. % 1.55/1.67 apply (zenon_L1519_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L106_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.67 apply (zenon_L349_); trivial. % 1.55/1.67 apply (zenon_L1518_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L1355_); trivial. % 1.55/1.67 apply (zenon_L1519_); trivial. % 1.55/1.67 apply (zenon_L1499_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_L1523_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L1355_); trivial. % 1.55/1.67 apply (zenon_L1520_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H397). zenon_intro zenon_Hf. zenon_intro zenon_H3a1. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H3a1). zenon_intro zenon_H2ea. zenon_intro zenon_H3a2. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H3a2). zenon_intro zenon_H2eb. zenon_intro zenon_H2e9. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H31c); [ zenon_intro zenon_H142 | zenon_intro zenon_H398 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H15a | zenon_intro zenon_H399 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H17f | zenon_intro zenon_H39a ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H125 | zenon_intro zenon_H30f ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.67 apply (zenon_L1526_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1528_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L106_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.67 apply (zenon_L899_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.67 apply (zenon_L1529_); trivial. % 1.55/1.67 apply (zenon_L1530_); trivial. % 1.55/1.67 apply (zenon_L1534_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.67 apply (zenon_L1529_); trivial. % 1.55/1.67 apply (zenon_L910_); trivial. % 1.55/1.67 apply (zenon_L1535_); trivial. % 1.55/1.67 apply (zenon_L900_); trivial. % 1.55/1.67 apply (zenon_L128_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1538_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L106_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.67 apply (zenon_L1540_); trivial. % 1.55/1.67 apply (zenon_L921_); trivial. % 1.55/1.67 apply (zenon_L922_); trivial. % 1.55/1.67 apply (zenon_L128_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.67 apply (zenon_L1526_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1528_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L106_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.67 apply (zenon_L899_); trivial. % 1.55/1.67 apply (zenon_L1543_); trivial. % 1.55/1.67 apply (zenon_L1544_); trivial. % 1.55/1.67 apply (zenon_L128_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1538_); trivial. % 1.55/1.67 apply (zenon_L1546_); trivial. % 1.55/1.67 apply (zenon_L128_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_Hf. zenon_intro zenon_H311. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H277. zenon_intro zenon_H312. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H278. zenon_intro zenon_H276. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.67 apply (zenon_L1354_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1528_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L106_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.67 apply (zenon_L1547_); trivial. % 1.55/1.67 apply (zenon_L900_); trivial. % 1.55/1.67 apply (zenon_L128_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_L1550_); trivial. % 1.55/1.67 apply (zenon_L128_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.67 apply (zenon_L1354_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_L1552_); trivial. % 1.55/1.67 apply (zenon_L128_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_L1554_); trivial. % 1.55/1.67 apply (zenon_L128_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H39a). zenon_intro zenon_Hf. zenon_intro zenon_H39b. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H39b). zenon_intro zenon_H299. zenon_intro zenon_H39c. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H297. zenon_intro zenon_H298. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_L1525_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L1355_); trivial. % 1.55/1.67 apply (zenon_L1524_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L902_); trivial. % 1.55/1.67 apply (zenon_L1555_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L106_); trivial. % 1.55/1.67 apply (zenon_L1555_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L338_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L1355_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.67 apply (zenon_L899_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.67 apply (zenon_L1097_); trivial. % 1.55/1.67 apply (zenon_L1534_); trivial. % 1.55/1.67 apply (zenon_L346_); trivial. % 1.55/1.67 apply (zenon_L337_); trivial. % 1.55/1.67 apply (zenon_L363_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_L1525_); trivial. % 1.55/1.67 apply (zenon_L1368_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L902_); trivial. % 1.55/1.67 apply (zenon_L1556_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L106_); trivial. % 1.55/1.67 apply (zenon_L1556_); trivial. % 1.55/1.67 apply (zenon_L1368_); trivial. % 1.55/1.67 apply (zenon_L363_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H399). zenon_intro zenon_Hf. zenon_intro zenon_H39d. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H39d). zenon_intro zenon_H2b3. zenon_intro zenon_H39e. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H39e). zenon_intro zenon_H2b4. zenon_intro zenon_H2b2. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H17f | zenon_intro zenon_H39a ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H125 | zenon_intro zenon_H30f ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_L1558_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1316_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L1560_); trivial. % 1.55/1.67 apply (zenon_L1557_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1562_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L106_); trivial. % 1.55/1.67 apply (zenon_L1566_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1562_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L1560_); trivial. % 1.55/1.67 apply (zenon_L1566_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_L1558_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1316_); trivial. % 1.55/1.67 apply (zenon_L1567_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L1561_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.67 apply (zenon_L898_); trivial. % 1.55/1.67 apply (zenon_L1569_); trivial. % 1.55/1.67 apply (zenon_L1573_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L1561_); trivial. % 1.55/1.67 apply (zenon_L243_); trivial. % 1.55/1.67 apply (zenon_L1567_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_Hf. zenon_intro zenon_H311. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H277. zenon_intro zenon_H312. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H278. zenon_intro zenon_H276. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_L1431_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1316_); trivial. % 1.55/1.67 apply (zenon_L1574_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_L1578_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1577_); trivial. % 1.55/1.67 apply (zenon_L1580_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.67 apply (zenon_L1582_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_L1585_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1584_); trivial. % 1.55/1.67 apply (zenon_L1580_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H39a). zenon_intro zenon_Hf. zenon_intro zenon_H39b. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H39b). zenon_intro zenon_H299. zenon_intro zenon_H39c. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H297. zenon_intro zenon_H298. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H125 | zenon_intro zenon_H30f ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_L1558_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L1355_); trivial. % 1.55/1.67 apply (zenon_L1557_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L1561_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.67 apply (zenon_L1588_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1bc). zenon_intro zenon_Hf. zenon_intro zenon_H1bd. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1bd). zenon_intro zenon_H6d. zenon_intro zenon_H1be. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1be). zenon_intro zenon_H6e. zenon_intro zenon_H6c. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.67 apply (zenon_L1336_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.67 apply (zenon_L1379_); trivial. % 1.55/1.67 apply (zenon_L1591_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L106_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.67 apply (zenon_L1588_); trivial. % 1.55/1.67 apply (zenon_L1565_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L338_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L1355_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.67 apply (zenon_L349_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.67 apply (zenon_L1563_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.67 apply (zenon_L1379_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Hf. zenon_intro zenon_H8c. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H4d. zenon_intro zenon_H8d. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H4b. zenon_intro zenon_H4c. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H100 | zenon_intro zenon_H127 ]. % 1.55/1.67 apply (zenon_L1008_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_Hf. zenon_intro zenon_H129. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H129). zenon_intro zenon_H114. zenon_intro zenon_H12a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H12a). zenon_intro zenon_H10b. zenon_intro zenon_H10c. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H75 | zenon_intro zenon_H87 ]. % 1.55/1.67 apply (zenon_L1593_); trivial. % 1.55/1.67 apply (zenon_L113_); trivial. % 1.55/1.67 apply (zenon_L346_); trivial. % 1.55/1.67 apply (zenon_L1565_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_L1558_); trivial. % 1.55/1.67 apply (zenon_L1368_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L1561_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.67 apply (zenon_L1588_); trivial. % 1.55/1.67 apply (zenon_L1569_); trivial. % 1.55/1.67 apply (zenon_L1573_); trivial. % 1.55/1.67 apply (zenon_L1368_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_Hf. zenon_intro zenon_H311. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H277. zenon_intro zenon_H312. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H278. zenon_intro zenon_H276. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_L1431_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L338_); trivial. % 1.55/1.67 apply (zenon_L1574_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_L1578_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L338_); trivial. % 1.55/1.67 apply (zenon_L1580_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H325); [ zenon_intro zenon_H8 | zenon_intro zenon_H2e5 ]. % 1.55/1.67 apply (zenon_L1432_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_Hf. zenon_intro zenon_H2e7. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ac. zenon_intro zenon_H2e8. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1a3. zenon_intro zenon_H1a5. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_L1585_); trivial. % 1.55/1.67 apply (zenon_L1368_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H398). zenon_intro zenon_Hf. zenon_intro zenon_H39f. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H39f). zenon_intro zenon_H2ca. zenon_intro zenon_H3a0. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H3a0). zenon_intro zenon_H2c9. zenon_intro zenon_H2c8. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H31e); [ zenon_intro zenon_H15a | zenon_intro zenon_H399 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H17f | zenon_intro zenon_H39a ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H125 | zenon_intro zenon_H30f ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1595_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L106_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.67 apply (zenon_L899_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.67 apply (zenon_L1599_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.67 apply (zenon_L1174_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.67 apply (zenon_L1598_); trivial. % 1.55/1.67 apply (zenon_L1139_); trivial. % 1.55/1.67 apply (zenon_L1142_); trivial. % 1.55/1.67 apply (zenon_L128_); trivial. % 1.55/1.67 apply (zenon_L1143_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1595_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L106_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.67 apply (zenon_L899_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.67 apply (zenon_L1601_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.67 apply (zenon_L1174_); trivial. % 1.55/1.67 apply (zenon_L1602_); trivial. % 1.55/1.67 apply (zenon_L1155_); trivial. % 1.55/1.67 apply (zenon_L128_); trivial. % 1.55/1.67 apply (zenon_L1156_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_Hf. zenon_intro zenon_H311. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H277. zenon_intro zenon_H312. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H278. zenon_intro zenon_H276. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1595_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L106_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.67 apply (zenon_L1604_); trivial. % 1.55/1.67 apply (zenon_L1142_); trivial. % 1.55/1.67 apply (zenon_L128_); trivial. % 1.55/1.67 apply (zenon_L1162_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L1594_); trivial. % 1.55/1.67 apply (zenon_L1605_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L106_); trivial. % 1.55/1.67 apply (zenon_L1605_); trivial. % 1.55/1.67 apply (zenon_L128_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1607_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L106_); trivial. % 1.55/1.67 apply (zenon_L1606_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1607_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.67 apply (zenon_L120_); trivial. % 1.55/1.67 apply (zenon_L1559_); trivial. % 1.55/1.67 apply (zenon_L1606_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H39a). zenon_intro zenon_Hf. zenon_intro zenon_H39b. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H39b). zenon_intro zenon_H299. zenon_intro zenon_H39c. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H297. zenon_intro zenon_H298. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L1594_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.67 apply (zenon_L1173_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.67 apply (zenon_L1599_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.67 apply (zenon_L1174_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.67 apply (zenon_L1598_); trivial. % 1.55/1.67 apply (zenon_L1122_); trivial. % 1.55/1.67 apply (zenon_L1134_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L106_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.67 apply (zenon_L1177_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.67 apply (zenon_L1599_); trivial. % 1.55/1.67 apply (zenon_L1608_); trivial. % 1.55/1.67 apply (zenon_L1142_); trivial. % 1.55/1.67 apply (zenon_L1615_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_L1182_); trivial. % 1.55/1.67 apply (zenon_L1615_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H2e6); [ zenon_intro zenon_H40 | zenon_intro zenon_H19f ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L1594_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.67 apply (zenon_L1173_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.67 apply (zenon_L1601_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.67 apply (zenon_L1174_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_Hf. zenon_intro zenon_H139. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H139). zenon_intro zenon_H130. zenon_intro zenon_H13a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_H12e. zenon_intro zenon_H12f. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_Ha | zenon_intro zenon_H8b ]. % 1.55/1.67 apply (zenon_L1600_); trivial. % 1.55/1.67 apply (zenon_L1122_); trivial. % 1.55/1.67 apply (zenon_L1134_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e2). zenon_intro zenon_Hf. zenon_intro zenon_H1e3. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e3). zenon_intro zenon_H15f. zenon_intro zenon_H1e4. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1e4). zenon_intro zenon_H160. zenon_intro zenon_H15e. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L106_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.67 apply (zenon_L1177_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_Hf. zenon_intro zenon_H195. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_Hd8. zenon_intro zenon_H196. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_He4. zenon_intro zenon_Hd7. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.67 apply (zenon_L1601_); trivial. % 1.55/1.67 apply (zenon_L1608_); trivial. % 1.55/1.67 apply (zenon_L1155_); trivial. % 1.55/1.67 apply (zenon_L1616_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_Hf. zenon_intro zenon_H1a1. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H185. zenon_intro zenon_H1a2. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H1a2). zenon_intro zenon_H186. zenon_intro zenon_H184. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_L1199_); trivial. % 1.55/1.67 apply (zenon_L1616_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H399). zenon_intro zenon_Hf. zenon_intro zenon_H39d. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H39d). zenon_intro zenon_H2b3. zenon_intro zenon_H39e. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H39e). zenon_intro zenon_H2b4. zenon_intro zenon_H2b2. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H320); [ zenon_intro zenon_H17f | zenon_intro zenon_H39a ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H125 | zenon_intro zenon_H30f ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1621_); trivial. % 1.55/1.67 apply (zenon_L1624_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1621_); trivial. % 1.55/1.67 apply (zenon_L1625_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L1617_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.67 apply (zenon_L1119_); trivial. % 1.55/1.67 apply (zenon_L1627_); trivial. % 1.55/1.67 apply (zenon_L1629_); trivial. % 1.55/1.67 apply (zenon_L1631_); trivial. % 1.55/1.67 apply (zenon_L1639_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H39a). zenon_intro zenon_Hf. zenon_intro zenon_H39b. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H39b). zenon_intro zenon_H299. zenon_intro zenon_H39c. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H39c). zenon_intro zenon_H297. zenon_intro zenon_H298. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H322); [ zenon_intro zenon_H125 | zenon_intro zenon_H30f ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H310); [ zenon_intro zenon_H42 | zenon_intro zenon_H313 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1640_); trivial. % 1.55/1.67 apply (zenon_L1624_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19c). zenon_intro zenon_Hf. zenon_intro zenon_H19d. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19d). zenon_intro zenon_H176. zenon_intro zenon_H19e. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19e). zenon_intro zenon_H177. zenon_intro zenon_H178. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_L1640_); trivial. % 1.55/1.67 apply (zenon_L1625_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_Hf. zenon_intro zenon_H314. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H22c. zenon_intro zenon_H315. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H237. zenon_intro zenon_H22b. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H5f | zenon_intro zenon_H19c ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1a | zenon_intro zenon_H1e2 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H3 | zenon_intro zenon_H197 ]. % 1.55/1.67 apply (zenon_L1617_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H197). zenon_intro zenon_Hf. zenon_intro zenon_H199. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H199). zenon_intro zenon_Hcb. zenon_intro zenon_H19a. % 1.55/1.67 apply (zenon_and_s _ _ zenon_H19a). zenon_intro zenon_Hcc. zenon_intro zenon_Hca. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H46 | zenon_intro zenon_H1bc ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H194 ]. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H83 | zenon_intro zenon_Hc6 ]. % 1.55/1.67 apply (zenon_L1618_); trivial. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Hf. zenon_intro zenon_Hc7. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc7). zenon_intro zenon_H91. zenon_intro zenon_Hc8. % 1.55/1.67 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_H92. zenon_intro zenon_H90. % 1.55/1.67 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H137 ]. % 1.55/1.67 apply (zenon_L823_); trivial. % 1.55/1.67 apply (zenon_L1630_); trivial. % 1.55/1.67 apply (zenon_L1641_); trivial. % 1.55/1.67 apply (zenon_L1627_); trivial. % 1.55/1.67 apply (zenon_L1629_); trivial. % 1.55/1.67 apply (zenon_L1631_); trivial. % 1.55/1.67 apply (zenon_L1639_); trivial. % 1.55/1.67 Qed. % 1.55/1.67 % SZS output end Proof % 1.55/1.67 (* END-PROOF *) % 1.55/1.67 nodes searched: 45502 % 1.55/1.67 max branch formulas: 457 % 1.55/1.67 proof nodes created: 10140 % 1.55/1.67 formulas created: 42495 % 1.55/1.67 %------------------------------------------------------------------------------