%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN469+1 : TPTP v8.1.0. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n023.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 13:53:12 EDT 2022 % Result : Theorem 0.77s 0.94s % Output : Proof 0.82s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SYN469+1 : TPTP v8.1.0. Released v2.1.0. % 0.06/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n023.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Mon Jul 11 18:54:54 EDT 2022 % 0.12/0.33 % CPUTime : % 0.77/0.94 (* PROOF-FOUND *) % 0.77/0.94 % SZS status Theorem % 0.77/0.94 (* BEGIN-PROOF *) % 0.77/0.94 % SZS output start Proof % 0.77/0.94 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((c1_1 (a400))/\((c2_1 (a400))/\(~(c3_1 (a400)))))))/\(((~(hskp1))\/((ndr1_0)/\((c0_1 (a401))/\((c1_1 (a401))/\(~(c3_1 (a401)))))))/\(((~(hskp2))\/((ndr1_0)/\((c0_1 (a402))/\((~(c1_1 (a402)))/\(~(c2_1 (a402)))))))/\(((~(hskp3))\/((ndr1_0)/\((~(c0_1 (a403)))/\((~(c2_1 (a403)))/\(~(c3_1 (a403)))))))/\(((~(hskp4))\/((ndr1_0)/\((c0_1 (a404))/\((c3_1 (a404))/\(~(c2_1 (a404)))))))/\(((~(hskp5))\/((ndr1_0)/\((c2_1 (a408))/\((c3_1 (a408))/\(~(c0_1 (a408)))))))/\(((~(hskp6))\/((ndr1_0)/\((c2_1 (a409))/\((~(c0_1 (a409)))/\(~(c3_1 (a409)))))))/\(((~(hskp7))\/((ndr1_0)/\((c0_1 (a410))/\((~(c1_1 (a410)))/\(~(c3_1 (a410)))))))/\(((~(hskp8))\/((ndr1_0)/\((c2_1 (a415))/\((c3_1 (a415))/\(~(c1_1 (a415)))))))/\(((~(hskp9))\/((ndr1_0)/\((c3_1 (a416))/\((~(c0_1 (a416)))/\(~(c1_1 (a416)))))))/\(((~(hskp10))\/((ndr1_0)/\((c1_1 (a418))/\((~(c0_1 (a418)))/\(~(c2_1 (a418)))))))/\(((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a420)))/\((~(c1_1 (a420)))/\(~(c2_1 (a420)))))))/\(((~(hskp12))\/((ndr1_0)/\((c0_1 (a426))/\((c1_1 (a426))/\(~(c2_1 (a426)))))))/\(((~(hskp13))\/((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427)))))))/\(((~(hskp14))\/((ndr1_0)/\((c2_1 (a428))/\((~(c0_1 (a428)))/\(~(c1_1 (a428)))))))/\(((~(hskp15))\/((ndr1_0)/\((c0_1 (a430))/\((c2_1 (a430))/\(~(c3_1 (a430)))))))/\(((~(hskp16))\/((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434)))))))/\(((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a439)))/\((~(c2_1 (a439)))/\(~(c3_1 (a439)))))))/\(((~(hskp18))\/((ndr1_0)/\((c0_1 (a440))/\((~(c2_1 (a440)))/\(~(c3_1 (a440)))))))/\(((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445)))))))/\(((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449)))))))/\(((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a450)))/\((~(c1_1 (a450)))/\(~(c3_1 (a450)))))))/\(((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451)))))))/\(((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460)))))))/\(((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477)))))))/\(((~(hskp25))\/((ndr1_0)/\((c0_1 (a405))/\((c1_1 (a405))/\(c3_1 (a405))))))/\(((~(hskp26))\/((ndr1_0)/\((c1_1 (a407))/\((c2_1 (a407))/\(c3_1 (a407))))))/\(((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412))))))/\(((~(hskp28))\/((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp0)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))))/\(((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(c3_1 X1)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/(hskp3)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/(hskp4)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp25)\/(hskp3)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp26)\/(hskp5)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp6)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp7)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp4)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0)))/\(((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))))/\(((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/(hskp28)))/\(((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((hskp8)\/(hskp9)))/\(((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/(hskp4)))/\(((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10)))/\(((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp0)\/(hskp11)))/\(((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp5)\/(hskp3)))/\(((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp9)))/\(((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp1)))/\(((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(hskp9)))/\(((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(hskp12)))/\(((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp13)))/\(((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14)))/\(((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp1)))/\(((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54))))))))/\(((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((hskp15)\/(hskp6)))/\(((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))/\(((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9)))/\(((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp16)\/(hskp3)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11)))/\(((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))))/\(((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/(hskp4)))/\(((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))))/\(((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/((hskp2)\/(hskp17)))/\(((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/((hskp18)\/(hskp3)))/\(((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((forall X73 : zenon_U, ((ndr1_0)->((~(c1_1 X73))\/((~(c2_1 X73))\/(~(c3_1 X73))))))\/(hskp9)))/\(((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp12)\/(hskp1)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))))/\(((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp19)))/\(((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp3)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp4)\/(hskp3)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))\/((hskp20)\/(hskp21)))/\(((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp22)))/\(((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((hskp2)\/(hskp11)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp20)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp28)\/(hskp4)))/\(((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7)))/\(((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23)))/\(((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp12)\/(hskp9)))/\(((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16)))/\(((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp25)\/(hskp28)))/\(((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13)))/\(((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/((hskp4)\/(hskp5)))/\(((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20))/\(((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/((hskp20)\/(hskp5)))/\(((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp12)\/(hskp10)))/\(((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24)))/\(((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11)))/\(((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp4)\/(hskp9)))/\(((hskp25)\/((hskp24)\/(hskp21)))/\(((hskp15)\/((hskp7)\/(hskp3)))/\(((hskp18)\/((hskp20)\/(hskp23)))/\((hskp8)\/((hskp3)\/(hskp17)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 0.77/0.94 Proof. % 0.77/0.94 assert (zenon_L1_ : (~(hskp18)) -> (hskp18) -> False). % 0.77/0.94 do 0 intro. intros zenon_H1 zenon_H2. % 0.77/0.94 exact (zenon_H1 zenon_H2). % 0.77/0.94 (* end of lemma zenon_L1_ *) % 0.77/0.94 assert (zenon_L2_ : (~(hskp20)) -> (hskp20) -> False). % 0.77/0.94 do 0 intro. intros zenon_H3 zenon_H4. % 0.77/0.94 exact (zenon_H3 zenon_H4). % 0.77/0.94 (* end of lemma zenon_L2_ *) % 0.77/0.94 assert (zenon_L3_ : (~(hskp23)) -> (hskp23) -> False). % 0.77/0.94 do 0 intro. intros zenon_H5 zenon_H6. % 0.77/0.94 exact (zenon_H5 zenon_H6). % 0.77/0.94 (* end of lemma zenon_L3_ *) % 0.77/0.94 assert (zenon_L4_ : ((hskp18)\/((hskp20)\/(hskp23))) -> (~(hskp18)) -> (~(hskp20)) -> (~(hskp23)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H7 zenon_H1 zenon_H3 zenon_H5. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H8 ]. % 0.77/0.94 exact (zenon_H1 zenon_H2). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_H4 | zenon_intro zenon_H6 ]. % 0.77/0.94 exact (zenon_H3 zenon_H4). % 0.77/0.94 exact (zenon_H5 zenon_H6). % 0.77/0.94 (* end of lemma zenon_L4_ *) % 0.77/0.94 assert (zenon_L5_ : (~(ndr1_0)) -> (ndr1_0) -> False). % 0.77/0.94 do 0 intro. intros zenon_H9 zenon_Ha. % 0.77/0.94 exact (zenon_H9 zenon_Ha). % 0.77/0.94 (* end of lemma zenon_L5_ *) % 0.77/0.94 assert (zenon_L6_ : (forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))) -> (ndr1_0) -> (~(c3_1 (a460))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7))))) -> (~(c2_1 (a460))) -> (c1_1 (a460)) -> False). % 0.77/0.94 do 0 intro. intros zenon_Hb zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_Hf. % 0.77/0.94 generalize (zenon_Hb (a460)). zenon_intro zenon_H10. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H10); [ zenon_intro zenon_H9 | zenon_intro zenon_H11 ]. % 0.77/0.94 exact (zenon_H9 zenon_Ha). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H11); [ zenon_intro zenon_H13 | zenon_intro zenon_H12 ]. % 0.77/0.94 exact (zenon_Hc zenon_H13). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H12); [ zenon_intro zenon_H15 | zenon_intro zenon_H14 ]. % 0.77/0.94 generalize (zenon_Hd (a460)). zenon_intro zenon_H16. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H16); [ zenon_intro zenon_H9 | zenon_intro zenon_H17 ]. % 0.77/0.94 exact (zenon_H9 zenon_Ha). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H17); [ zenon_intro zenon_H19 | zenon_intro zenon_H18 ]. % 0.77/0.94 exact (zenon_H15 zenon_H19). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H18); [ zenon_intro zenon_H1a | zenon_intro zenon_H13 ]. % 0.77/0.94 exact (zenon_He zenon_H1a). % 0.77/0.94 exact (zenon_Hc zenon_H13). % 0.77/0.94 exact (zenon_H14 zenon_Hf). % 0.77/0.94 (* end of lemma zenon_L6_ *) % 0.77/0.94 assert (zenon_L7_ : ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (~(hskp20)) -> (c1_1 (a460)) -> (~(c2_1 (a460))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7))))) -> (~(c3_1 (a460))) -> (ndr1_0) -> False). % 0.77/0.94 do 0 intro. intros zenon_H1b zenon_H3 zenon_Hf zenon_He zenon_Hd zenon_Hc zenon_Ha. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H1b); [ zenon_intro zenon_Hb | zenon_intro zenon_H4 ]. % 0.77/0.94 apply (zenon_L6_); trivial. % 0.77/0.94 exact (zenon_H3 zenon_H4). % 0.77/0.94 (* end of lemma zenon_L7_ *) % 0.77/0.94 assert (zenon_L8_ : (~(hskp27)) -> (hskp27) -> False). % 0.77/0.94 do 0 intro. intros zenon_H1c zenon_H1d. % 0.77/0.94 exact (zenon_H1c zenon_H1d). % 0.77/0.94 (* end of lemma zenon_L8_ *) % 0.77/0.94 assert (zenon_L9_ : (~(hskp0)) -> (hskp0) -> False). % 0.77/0.94 do 0 intro. intros zenon_H1e zenon_H1f. % 0.77/0.94 exact (zenon_H1e zenon_H1f). % 0.77/0.94 (* end of lemma zenon_L9_ *) % 0.77/0.94 assert (zenon_L10_ : (forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))) -> (ndr1_0) -> (c0_1 (a412)) -> (c1_1 (a412)) -> (c2_1 (a412)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H20 zenon_Ha zenon_H21 zenon_H22 zenon_H23. % 0.77/0.94 generalize (zenon_H20 (a412)). zenon_intro zenon_H24. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H24); [ zenon_intro zenon_H9 | zenon_intro zenon_H25 ]. % 0.77/0.94 exact (zenon_H9 zenon_Ha). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H25); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ]. % 0.77/0.94 exact (zenon_H27 zenon_H21). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H26); [ zenon_intro zenon_H29 | zenon_intro zenon_H28 ]. % 0.77/0.94 exact (zenon_H29 zenon_H22). % 0.77/0.94 exact (zenon_H28 zenon_H23). % 0.77/0.94 (* end of lemma zenon_L10_ *) % 0.77/0.94 assert (zenon_L11_ : (~(hskp19)) -> (hskp19) -> False). % 0.77/0.94 do 0 intro. intros zenon_H2a zenon_H2b. % 0.77/0.94 exact (zenon_H2a zenon_H2b). % 0.77/0.94 (* end of lemma zenon_L11_ *) % 0.77/0.94 assert (zenon_L12_ : (~(hskp24)) -> (hskp24) -> False). % 0.77/0.94 do 0 intro. intros zenon_H2c zenon_H2d. % 0.77/0.94 exact (zenon_H2c zenon_H2d). % 0.77/0.94 (* end of lemma zenon_L12_ *) % 0.77/0.94 assert (zenon_L13_ : ((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (~(hskp19)) -> (~(hskp24)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H2e zenon_H2f zenon_H2a zenon_H2c. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_Ha. zenon_intro zenon_H30. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H21. zenon_intro zenon_H31. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H22. zenon_intro zenon_H23. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H20 | zenon_intro zenon_H32 ]. % 0.77/0.94 apply (zenon_L10_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H2b | zenon_intro zenon_H2d ]. % 0.77/0.94 exact (zenon_H2a zenon_H2b). % 0.77/0.94 exact (zenon_H2c zenon_H2d). % 0.77/0.94 (* end of lemma zenon_L13_ *) % 0.77/0.94 assert (zenon_L14_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (~(hskp24)) -> (~(hskp19)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (~(hskp20)) -> (c1_1 (a460)) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (ndr1_0) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> False). % 0.77/0.94 do 0 intro. intros zenon_H33 zenon_H2f zenon_H2c zenon_H2a zenon_H1b zenon_H3 zenon_Hf zenon_He zenon_Hc zenon_Ha zenon_H1e zenon_H34. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H1c | zenon_intro zenon_H2e ]. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_Hd | zenon_intro zenon_H35 ]. % 0.77/0.94 apply (zenon_L7_); trivial. % 0.77/0.94 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H1f ]. % 0.77/0.94 exact (zenon_H1c zenon_H1d). % 0.77/0.94 exact (zenon_H1e zenon_H1f). % 0.77/0.94 apply (zenon_L13_); trivial. % 0.77/0.94 (* end of lemma zenon_L14_ *) % 0.77/0.94 assert (zenon_L15_ : (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10)))))) -> (ndr1_0) -> (~(c0_1 (a477))) -> (~(c2_1 (a477))) -> (c3_1 (a477)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H36 zenon_Ha zenon_H37 zenon_H38 zenon_H39. % 0.77/0.94 generalize (zenon_H36 (a477)). zenon_intro zenon_H3a. % 0.77/0.94 apply (zenon_imply_s _ _ zenon_H3a); [ zenon_intro zenon_H9 | zenon_intro zenon_H3b ]. % 0.77/0.94 exact (zenon_H9 zenon_Ha). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H3d | zenon_intro zenon_H3c ]. % 0.77/0.94 exact (zenon_H37 zenon_H3d). % 0.77/0.94 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H3f | zenon_intro zenon_H3e ]. % 0.77/0.94 exact (zenon_H38 zenon_H3f). % 0.77/0.94 exact (zenon_H3e zenon_H39). % 0.77/0.94 (* end of lemma zenon_L15_ *) % 0.77/0.94 assert (zenon_L16_ : (~(hskp5)) -> (hskp5) -> False). % 0.77/0.94 do 0 intro. intros zenon_H40 zenon_H41. % 0.77/0.94 exact (zenon_H40 zenon_H41). % 0.77/0.94 (* end of lemma zenon_L16_ *) % 0.77/0.94 assert (zenon_L17_ : (~(hskp3)) -> (hskp3) -> False). % 0.77/0.94 do 0 intro. intros zenon_H42 zenon_H43. % 0.77/0.94 exact (zenon_H42 zenon_H43). % 0.77/0.94 (* end of lemma zenon_L17_ *) % 0.77/0.94 assert (zenon_L18_ : ((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp5)\/(hskp3))) -> (~(hskp5)) -> (~(hskp3)) -> False). % 0.77/0.94 do 0 intro. intros zenon_H44 zenon_H45 zenon_H40 zenon_H42. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H46. % 0.77/0.94 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H39. zenon_intro zenon_H47. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H36 | zenon_intro zenon_H48 ]. % 0.77/0.95 apply (zenon_L15_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H41 | zenon_intro zenon_H43 ]. % 0.77/0.95 exact (zenon_H40 zenon_H41). % 0.77/0.95 exact (zenon_H42 zenon_H43). % 0.77/0.95 (* end of lemma zenon_L18_ *) % 0.77/0.95 assert (zenon_L19_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp5)\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> (~(hskp0)) -> (ndr1_0) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (c1_1 (a460)) -> (~(hskp20)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H49 zenon_H45 zenon_H42 zenon_H40 zenon_H34 zenon_H1e zenon_Ha zenon_Hc zenon_He zenon_Hf zenon_H3 zenon_H1b zenon_H2a zenon_H2f zenon_H33. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H2c | zenon_intro zenon_H44 ]. % 0.77/0.95 apply (zenon_L14_); trivial. % 0.77/0.95 apply (zenon_L18_); trivial. % 0.77/0.95 (* end of lemma zenon_L19_ *) % 0.77/0.95 assert (zenon_L20_ : (~(hskp7)) -> (hskp7) -> False). % 0.77/0.95 do 0 intro. intros zenon_H4a zenon_H4b. % 0.77/0.95 exact (zenon_H4a zenon_H4b). % 0.77/0.95 (* end of lemma zenon_L20_ *) % 0.77/0.95 assert (zenon_L21_ : (~(hskp16)) -> (hskp16) -> False). % 0.77/0.95 do 0 intro. intros zenon_H4c zenon_H4d. % 0.77/0.95 exact (zenon_H4c zenon_H4d). % 0.77/0.95 (* end of lemma zenon_L21_ *) % 0.77/0.95 assert (zenon_L22_ : ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16))) -> (c3_1 (a449)) -> (c1_1 (a449)) -> (forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26)))))) -> (~(c2_1 (a449))) -> (ndr1_0) -> (~(hskp7)) -> (~(hskp16)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H4e zenon_H4f zenon_H50 zenon_H51 zenon_H52 zenon_Ha zenon_H4a zenon_H4c. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H54 | zenon_intro zenon_H53 ]. % 0.77/0.95 generalize (zenon_H54 (a449)). zenon_intro zenon_H55. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H55); [ zenon_intro zenon_H9 | zenon_intro zenon_H56 ]. % 0.77/0.95 exact (zenon_H9 zenon_Ha). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H56); [ zenon_intro zenon_H58 | zenon_intro zenon_H57 ]. % 0.77/0.95 exact (zenon_H52 zenon_H58). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H5a | zenon_intro zenon_H59 ]. % 0.77/0.95 generalize (zenon_H51 (a449)). zenon_intro zenon_H5b. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H5b); [ zenon_intro zenon_H9 | zenon_intro zenon_H5c ]. % 0.77/0.95 exact (zenon_H9 zenon_Ha). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H5e | zenon_intro zenon_H5d ]. % 0.77/0.95 exact (zenon_H5a zenon_H5e). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H58 | zenon_intro zenon_H5f ]. % 0.77/0.95 exact (zenon_H52 zenon_H58). % 0.77/0.95 exact (zenon_H5f zenon_H50). % 0.77/0.95 exact (zenon_H59 zenon_H4f). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H4b | zenon_intro zenon_H4d ]. % 0.77/0.95 exact (zenon_H4a zenon_H4b). % 0.77/0.95 exact (zenon_H4c zenon_H4d). % 0.77/0.95 (* end of lemma zenon_L22_ *) % 0.77/0.95 assert (zenon_L23_ : (~(hskp8)) -> (hskp8) -> False). % 0.77/0.95 do 0 intro. intros zenon_H60 zenon_H61. % 0.77/0.95 exact (zenon_H60 zenon_H61). % 0.77/0.95 (* end of lemma zenon_L23_ *) % 0.77/0.95 assert (zenon_L24_ : (~(hskp9)) -> (hskp9) -> False). % 0.77/0.95 do 0 intro. intros zenon_H62 zenon_H63. % 0.77/0.95 exact (zenon_H62 zenon_H63). % 0.77/0.95 (* end of lemma zenon_L24_ *) % 0.77/0.95 assert (zenon_L25_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((hskp8)\/(hskp9))) -> (~(hskp16)) -> (~(hskp7)) -> (ndr1_0) -> (~(c2_1 (a449))) -> (c1_1 (a449)) -> (c3_1 (a449)) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16))) -> (~(hskp8)) -> (~(hskp9)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H64 zenon_H4c zenon_H4a zenon_Ha zenon_H52 zenon_H50 zenon_H4f zenon_H4e zenon_H60 zenon_H62. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H51 | zenon_intro zenon_H65 ]. % 0.77/0.95 apply (zenon_L22_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H61 | zenon_intro zenon_H63 ]. % 0.77/0.95 exact (zenon_H60 zenon_H61). % 0.77/0.95 exact (zenon_H62 zenon_H63). % 0.77/0.95 (* end of lemma zenon_L25_ *) % 0.77/0.95 assert (zenon_L26_ : (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))) -> (ndr1_0) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c1_1 (a460)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H66 zenon_Ha zenon_He zenon_Hc zenon_Hf. % 0.77/0.95 generalize (zenon_H66 (a460)). zenon_intro zenon_H67. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H67); [ zenon_intro zenon_H9 | zenon_intro zenon_H68 ]. % 0.77/0.95 exact (zenon_H9 zenon_Ha). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H1a | zenon_intro zenon_H69 ]. % 0.77/0.95 exact (zenon_He zenon_H1a). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H69); [ zenon_intro zenon_H13 | zenon_intro zenon_H14 ]. % 0.77/0.95 exact (zenon_Hc zenon_H13). % 0.77/0.95 exact (zenon_H14 zenon_Hf). % 0.77/0.95 (* end of lemma zenon_L26_ *) % 0.77/0.95 assert (zenon_L27_ : (~(hskp2)) -> (hskp2) -> False). % 0.77/0.95 do 0 intro. intros zenon_H6a zenon_H6b. % 0.77/0.95 exact (zenon_H6a zenon_H6b). % 0.77/0.95 (* end of lemma zenon_L27_ *) % 0.77/0.95 assert (zenon_L28_ : ((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> (~(hskp2)) -> (~(hskp7)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H6c zenon_H6d zenon_H6a zenon_H4a. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_Ha. zenon_intro zenon_H6e. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_Hf. zenon_intro zenon_H6f. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H66 | zenon_intro zenon_H70 ]. % 0.77/0.95 apply (zenon_L26_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H6b | zenon_intro zenon_H4b ]. % 0.77/0.95 exact (zenon_H6a zenon_H6b). % 0.77/0.95 exact (zenon_H4a zenon_H4b). % 0.77/0.95 (* end of lemma zenon_L28_ *) % 0.77/0.95 assert (zenon_L29_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> (~(hskp18)) -> (~(hskp20)) -> ((hskp18)\/((hskp20)\/(hskp23))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H71 zenon_H6d zenon_H4a zenon_H6a zenon_H1 zenon_H3 zenon_H7. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.77/0.95 apply (zenon_L4_); trivial. % 0.77/0.95 apply (zenon_L28_); trivial. % 0.77/0.95 (* end of lemma zenon_L29_ *) % 0.77/0.95 assert (zenon_L30_ : (forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35)))))) -> (ndr1_0) -> (~(c2_1 (a449))) -> (c1_1 (a449)) -> (c3_1 (a449)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H72 zenon_Ha zenon_H52 zenon_H50 zenon_H4f. % 0.77/0.95 generalize (zenon_H72 (a449)). zenon_intro zenon_H73. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H73); [ zenon_intro zenon_H9 | zenon_intro zenon_H74 ]. % 0.77/0.95 exact (zenon_H9 zenon_Ha). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H74); [ zenon_intro zenon_H58 | zenon_intro zenon_H75 ]. % 0.77/0.95 exact (zenon_H52 zenon_H58). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5f | zenon_intro zenon_H59 ]. % 0.77/0.95 exact (zenon_H5f zenon_H50). % 0.77/0.95 exact (zenon_H59 zenon_H4f). % 0.77/0.95 (* end of lemma zenon_L30_ *) % 0.77/0.95 assert (zenon_L31_ : (~(hskp13)) -> (hskp13) -> False). % 0.77/0.95 do 0 intro. intros zenon_H76 zenon_H77. % 0.77/0.95 exact (zenon_H76 zenon_H77). % 0.77/0.95 (* end of lemma zenon_L31_ *) % 0.77/0.95 assert (zenon_L32_ : ((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449)))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> (~(hskp2)) -> (~(hskp13)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H78 zenon_H79 zenon_H6a zenon_H76. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H7a. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H50. zenon_intro zenon_H7b. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H4f. zenon_intro zenon_H52. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H72 | zenon_intro zenon_H7c ]. % 0.77/0.95 apply (zenon_L30_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H6b | zenon_intro zenon_H77 ]. % 0.77/0.95 exact (zenon_H6a zenon_H6b). % 0.77/0.95 exact (zenon_H76 zenon_H77). % 0.77/0.95 (* end of lemma zenon_L32_ *) % 0.77/0.95 assert (zenon_L33_ : (forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69)))))) -> (ndr1_0) -> (~(c2_1 (a440))) -> (~(c3_1 (a440))) -> (c0_1 (a440)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H7d zenon_Ha zenon_H7e zenon_H7f zenon_H80. % 0.77/0.95 generalize (zenon_H7d (a440)). zenon_intro zenon_H81. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H81); [ zenon_intro zenon_H9 | zenon_intro zenon_H82 ]. % 0.77/0.95 exact (zenon_H9 zenon_Ha). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H84 | zenon_intro zenon_H83 ]. % 0.77/0.95 exact (zenon_H7e zenon_H84). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H86 | zenon_intro zenon_H85 ]. % 0.77/0.95 exact (zenon_H7f zenon_H86). % 0.77/0.95 exact (zenon_H85 zenon_H80). % 0.77/0.95 (* end of lemma zenon_L33_ *) % 0.77/0.95 assert (zenon_L34_ : (~(hskp11)) -> (hskp11) -> False). % 0.77/0.95 do 0 intro. intros zenon_H87 zenon_H88. % 0.77/0.95 exact (zenon_H87 zenon_H88). % 0.77/0.95 (* end of lemma zenon_L34_ *) % 0.77/0.95 assert (zenon_L35_ : ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((hskp2)\/(hskp11))) -> (c0_1 (a440)) -> (~(c3_1 (a440))) -> (~(c2_1 (a440))) -> (ndr1_0) -> (~(hskp2)) -> (~(hskp11)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H89 zenon_H80 zenon_H7f zenon_H7e zenon_Ha zenon_H6a zenon_H87. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H7d | zenon_intro zenon_H8a ]. % 0.77/0.95 apply (zenon_L33_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H6b | zenon_intro zenon_H88 ]. % 0.77/0.95 exact (zenon_H6a zenon_H6b). % 0.77/0.95 exact (zenon_H87 zenon_H88). % 0.77/0.95 (* end of lemma zenon_L35_ *) % 0.77/0.95 assert (zenon_L36_ : ((ndr1_0)/\((c0_1 (a440))/\((~(c2_1 (a440)))/\(~(c3_1 (a440)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((hskp2)\/(hskp11))) -> (~(hskp2)) -> (~(hskp11)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H8b zenon_H89 zenon_H6a zenon_H87. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Ha. zenon_intro zenon_H8c. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H80. zenon_intro zenon_H8d. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7e. zenon_intro zenon_H7f. % 0.77/0.95 apply (zenon_L35_); trivial. % 0.77/0.95 (* end of lemma zenon_L36_ *) % 0.77/0.95 assert (zenon_L37_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a440))/\((~(c2_1 (a440)))/\(~(c3_1 (a440))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((hskp2)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((hskp18)\/((hskp20)\/(hskp23))) -> (~(hskp13)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H8e zenon_H89 zenon_H87 zenon_H71 zenon_H6d zenon_H4a zenon_H6a zenon_H7 zenon_H76 zenon_H79 zenon_H8f. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H1 | zenon_intro zenon_H8b ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.77/0.95 apply (zenon_L29_); trivial. % 0.77/0.95 apply (zenon_L32_); trivial. % 0.77/0.95 apply (zenon_L36_); trivial. % 0.77/0.95 (* end of lemma zenon_L37_ *) % 0.77/0.95 assert (zenon_L38_ : (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17)))))) -> (ndr1_0) -> (~(c0_1 (a434))) -> (~(c3_1 (a434))) -> (c2_1 (a434)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H90 zenon_Ha zenon_H91 zenon_H92 zenon_H93. % 0.77/0.95 generalize (zenon_H90 (a434)). zenon_intro zenon_H94. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H94); [ zenon_intro zenon_H9 | zenon_intro zenon_H95 ]. % 0.77/0.95 exact (zenon_H9 zenon_Ha). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H97 | zenon_intro zenon_H96 ]. % 0.77/0.95 exact (zenon_H91 zenon_H97). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ]. % 0.77/0.95 exact (zenon_H92 zenon_H99). % 0.77/0.95 exact (zenon_H98 zenon_H93). % 0.77/0.95 (* end of lemma zenon_L38_ *) % 0.77/0.95 assert (zenon_L39_ : (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))) -> (ndr1_0) -> (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17)))))) -> (~(c0_1 (a434))) -> (~(c3_1 (a434))) -> (c1_1 (a434)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H66 zenon_Ha zenon_H90 zenon_H91 zenon_H92 zenon_H9a. % 0.77/0.95 generalize (zenon_H66 (a434)). zenon_intro zenon_H9b. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H9b); [ zenon_intro zenon_H9 | zenon_intro zenon_H9c ]. % 0.77/0.95 exact (zenon_H9 zenon_Ha). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H9c); [ zenon_intro zenon_H93 | zenon_intro zenon_H9d ]. % 0.77/0.95 apply (zenon_L38_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H99 | zenon_intro zenon_H9e ]. % 0.77/0.95 exact (zenon_H92 zenon_H99). % 0.77/0.95 exact (zenon_H9e zenon_H9a). % 0.77/0.95 (* end of lemma zenon_L39_ *) % 0.77/0.95 assert (zenon_L40_ : (~(hskp14)) -> (hskp14) -> False). % 0.77/0.95 do 0 intro. intros zenon_H9f zenon_Ha0. % 0.77/0.95 exact (zenon_H9f zenon_Ha0). % 0.77/0.95 (* end of lemma zenon_L40_ *) % 0.77/0.95 assert (zenon_L41_ : ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (c1_1 (a434)) -> (~(c3_1 (a434))) -> (~(c0_1 (a434))) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))) -> (c3_1 (a449)) -> (c1_1 (a449)) -> (~(c2_1 (a449))) -> (ndr1_0) -> (~(hskp14)) -> False). % 0.77/0.95 do 0 intro. intros zenon_Ha1 zenon_H9a zenon_H92 zenon_H91 zenon_H66 zenon_H4f zenon_H50 zenon_H52 zenon_Ha zenon_H9f. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H90 | zenon_intro zenon_Ha2 ]. % 0.77/0.95 apply (zenon_L39_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H72 | zenon_intro zenon_Ha0 ]. % 0.77/0.95 apply (zenon_L30_); trivial. % 0.77/0.95 exact (zenon_H9f zenon_Ha0). % 0.77/0.95 (* end of lemma zenon_L41_ *) % 0.77/0.95 assert (zenon_L42_ : ((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> (~(hskp14)) -> (~(c0_1 (a434))) -> (~(c3_1 (a434))) -> (c1_1 (a434)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp2)) -> (~(hskp7)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H78 zenon_H6d zenon_H9f zenon_H91 zenon_H92 zenon_H9a zenon_Ha1 zenon_H6a zenon_H4a. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H7a. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H50. zenon_intro zenon_H7b. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H4f. zenon_intro zenon_H52. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H66 | zenon_intro zenon_H70 ]. % 0.77/0.95 apply (zenon_L41_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H70); [ zenon_intro zenon_H6b | zenon_intro zenon_H4b ]. % 0.77/0.95 exact (zenon_H6a zenon_H6b). % 0.77/0.95 exact (zenon_H4a zenon_H4b). % 0.77/0.95 (* end of lemma zenon_L42_ *) % 0.77/0.95 assert (zenon_L43_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a440))/\((~(c2_1 (a440)))/\(~(c3_1 (a440))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((hskp2)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((hskp18)\/((hskp20)\/(hskp23))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (c1_1 (a434)) -> (~(c3_1 (a434))) -> (~(c0_1 (a434))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H8e zenon_H89 zenon_H87 zenon_H71 zenon_H6d zenon_H4a zenon_H6a zenon_H7 zenon_Ha1 zenon_H9f zenon_H9a zenon_H92 zenon_H91 zenon_H8f. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H1 | zenon_intro zenon_H8b ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.77/0.95 apply (zenon_L29_); trivial. % 0.77/0.95 apply (zenon_L42_); trivial. % 0.77/0.95 apply (zenon_L36_); trivial. % 0.77/0.95 (* end of lemma zenon_L43_ *) % 0.77/0.95 assert (zenon_L44_ : ((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((hskp8)\/(hskp9))) -> (~(hskp16)) -> (~(hskp7)) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16))) -> (~(hskp8)) -> (~(hskp9)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H78 zenon_H64 zenon_H4c zenon_H4a zenon_H4e zenon_H60 zenon_H62. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H7a. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H50. zenon_intro zenon_H7b. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H4f. zenon_intro zenon_H52. % 0.77/0.95 apply (zenon_L25_); trivial. % 0.77/0.95 (* end of lemma zenon_L44_ *) % 0.77/0.95 assert (zenon_L45_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a440))/\((~(c2_1 (a440)))/\(~(c3_1 (a440))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((hskp2)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((hskp18)\/((hskp20)\/(hskp23))) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16))) -> (~(hskp16)) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((hskp8)\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H8e zenon_H89 zenon_H87 zenon_H71 zenon_H6d zenon_H4a zenon_H6a zenon_H7 zenon_H4e zenon_H4c zenon_H60 zenon_H62 zenon_H64 zenon_H8f. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H1 | zenon_intro zenon_H8b ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.77/0.95 apply (zenon_L29_); trivial. % 0.77/0.95 apply (zenon_L44_); trivial. % 0.77/0.95 apply (zenon_L36_); trivial. % 0.77/0.95 (* end of lemma zenon_L45_ *) % 0.77/0.95 assert (zenon_L46_ : ((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a440))/\((~(c2_1 (a440)))/\(~(c3_1 (a440))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((hskp2)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((hskp18)\/((hskp20)\/(hskp23))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_Ha3 zenon_H8e zenon_H89 zenon_H87 zenon_H71 zenon_H6d zenon_H4a zenon_H6a zenon_H7 zenon_Ha1 zenon_H9f zenon_H8f. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_Ha. zenon_intro zenon_Ha4. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H9a. zenon_intro zenon_Ha5. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H91. zenon_intro zenon_H92. % 0.77/0.95 apply (zenon_L43_); trivial. % 0.77/0.95 (* end of lemma zenon_L46_ *) % 0.77/0.95 assert (zenon_L47_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16))) -> ((hskp18)\/((hskp20)\/(hskp23))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> (~(hskp11)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((hskp2)\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a440))/\((~(c2_1 (a440)))/\(~(c3_1 (a440))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_Ha6 zenon_Ha1 zenon_H9f zenon_H8f zenon_H64 zenon_H62 zenon_H60 zenon_H4e zenon_H7 zenon_H6a zenon_H4a zenon_H6d zenon_H71 zenon_H87 zenon_H89 zenon_H8e. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H4c | zenon_intro zenon_Ha3 ]. % 0.77/0.95 apply (zenon_L45_); trivial. % 0.77/0.95 apply (zenon_L46_); trivial. % 0.77/0.95 (* end of lemma zenon_L47_ *) % 0.77/0.95 assert (zenon_L48_ : (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> (ndr1_0) -> (~(c0_1 (a428))) -> (~(c1_1 (a428))) -> (c2_1 (a428)) -> False). % 0.77/0.95 do 0 intro. intros zenon_Ha7 zenon_Ha zenon_Ha8 zenon_Ha9 zenon_Haa. % 0.77/0.95 generalize (zenon_Ha7 (a428)). zenon_intro zenon_Hab. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_Hab); [ zenon_intro zenon_H9 | zenon_intro zenon_Hac ]. % 0.77/0.95 exact (zenon_H9 zenon_Ha). % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hac); [ zenon_intro zenon_Hae | zenon_intro zenon_Had ]. % 0.77/0.95 exact (zenon_Ha8 zenon_Hae). % 0.77/0.95 apply (zenon_or_s _ _ zenon_Had); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Haf ]. % 0.77/0.95 exact (zenon_Ha9 zenon_Hb0). % 0.77/0.95 exact (zenon_Haf zenon_Haa). % 0.77/0.95 (* end of lemma zenon_L48_ *) % 0.77/0.95 assert (zenon_L49_ : (~(hskp26)) -> (hskp26) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hb1 zenon_Hb2. % 0.77/0.95 exact (zenon_Hb1 zenon_Hb2). % 0.77/0.95 (* end of lemma zenon_L49_ *) % 0.77/0.95 assert (zenon_L50_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp26)\/(hskp5))) -> (c2_1 (a428)) -> (~(c1_1 (a428))) -> (~(c0_1 (a428))) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp5)) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hb3 zenon_Haa zenon_Ha9 zenon_Ha8 zenon_Ha zenon_Hb1 zenon_H40. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hb4 ]. % 0.77/0.95 apply (zenon_L48_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H41 ]. % 0.77/0.95 exact (zenon_Hb1 zenon_Hb2). % 0.77/0.95 exact (zenon_H40 zenon_H41). % 0.77/0.95 (* end of lemma zenon_L50_ *) % 0.77/0.95 assert (zenon_L51_ : (forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26)))))) -> (ndr1_0) -> (~(c0_1 (a434))) -> (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17)))))) -> (~(c3_1 (a434))) -> (c1_1 (a434)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H51 zenon_Ha zenon_H91 zenon_H90 zenon_H92 zenon_H9a. % 0.77/0.95 generalize (zenon_H51 (a434)). zenon_intro zenon_Hb5. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_Hb5); [ zenon_intro zenon_H9 | zenon_intro zenon_Hb6 ]. % 0.77/0.95 exact (zenon_H9 zenon_Ha). % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H97 | zenon_intro zenon_Hb7 ]. % 0.77/0.95 exact (zenon_H91 zenon_H97). % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H93 | zenon_intro zenon_H9e ]. % 0.77/0.95 apply (zenon_L38_); trivial. % 0.77/0.95 exact (zenon_H9e zenon_H9a). % 0.77/0.95 (* end of lemma zenon_L51_ *) % 0.77/0.95 assert (zenon_L52_ : (forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))) -> (ndr1_0) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V)))))) -> (c2_1 (a407)) -> (c3_1 (a407)) -> (c1_1 (a407)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H20 zenon_Ha zenon_Hb8 zenon_Hb9 zenon_Hba zenon_Hbb. % 0.77/0.95 generalize (zenon_H20 (a407)). zenon_intro zenon_Hbc. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_Hbc); [ zenon_intro zenon_H9 | zenon_intro zenon_Hbd ]. % 0.77/0.95 exact (zenon_H9 zenon_Ha). % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hbe ]. % 0.77/0.95 generalize (zenon_Hb8 (a407)). zenon_intro zenon_Hc0. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_Hc0); [ zenon_intro zenon_H9 | zenon_intro zenon_Hc1 ]. % 0.77/0.95 exact (zenon_H9 zenon_Ha). % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ]. % 0.77/0.95 exact (zenon_Hbf zenon_Hc3). % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hc4 ]. % 0.77/0.95 exact (zenon_Hc5 zenon_Hb9). % 0.77/0.95 exact (zenon_Hc4 zenon_Hba). % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc5 ]. % 0.77/0.95 exact (zenon_Hc6 zenon_Hbb). % 0.77/0.95 exact (zenon_Hc5 zenon_Hb9). % 0.77/0.95 (* end of lemma zenon_L52_ *) % 0.77/0.95 assert (zenon_L53_ : ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (c1_1 (a407)) -> (c3_1 (a407)) -> (c2_1 (a407)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V)))))) -> (ndr1_0) -> (~(hskp19)) -> (~(hskp24)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H2f zenon_Hbb zenon_Hba zenon_Hb9 zenon_Hb8 zenon_Ha zenon_H2a zenon_H2c. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H20 | zenon_intro zenon_H32 ]. % 0.77/0.95 apply (zenon_L52_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H2b | zenon_intro zenon_H2d ]. % 0.77/0.95 exact (zenon_H2a zenon_H2b). % 0.77/0.95 exact (zenon_H2c zenon_H2d). % 0.77/0.95 (* end of lemma zenon_L53_ *) % 0.77/0.95 assert (zenon_L54_ : (~(hskp1)) -> (hskp1) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hc7 zenon_Hc8. % 0.77/0.95 exact (zenon_Hc7 zenon_Hc8). % 0.77/0.95 (* end of lemma zenon_L54_ *) % 0.77/0.95 assert (zenon_L55_ : ((ndr1_0)/\((c1_1 (a407))/\((c2_1 (a407))/\(c3_1 (a407))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((hskp8)\/(hskp9))) -> (~(hskp1)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (~(hskp19)) -> (~(hskp24)) -> (~(c0_1 (a434))) -> (~(c3_1 (a434))) -> (c1_1 (a434)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp1))) -> (~(hskp8)) -> (~(hskp9)) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hc9 zenon_H64 zenon_Hc7 zenon_H2f zenon_H2a zenon_H2c zenon_H91 zenon_H92 zenon_H9a zenon_Hca zenon_H60 zenon_H62. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H51 | zenon_intro zenon_H65 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H90 | zenon_intro zenon_Hcd ]. % 0.77/0.95 apply (zenon_L51_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hc8 ]. % 0.77/0.95 apply (zenon_L53_); trivial. % 0.77/0.95 exact (zenon_Hc7 zenon_Hc8). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H61 | zenon_intro zenon_H63 ]. % 0.77/0.95 exact (zenon_H60 zenon_H61). % 0.77/0.95 exact (zenon_H62 zenon_H63). % 0.77/0.95 (* end of lemma zenon_L55_ *) % 0.77/0.95 assert (zenon_L56_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a407))/\((c2_1 (a407))/\(c3_1 (a407)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> (~(c0_1 (a434))) -> (~(c3_1 (a434))) -> (c1_1 (a434)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (~(hskp24)) -> (~(hskp19)) -> (~(hskp1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp1))) -> (ndr1_0) -> (~(c0_1 (a428))) -> (~(c1_1 (a428))) -> (c2_1 (a428)) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp26)\/(hskp5))) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hce zenon_H64 zenon_H62 zenon_H60 zenon_H91 zenon_H92 zenon_H9a zenon_H2f zenon_H2c zenon_H2a zenon_Hc7 zenon_Hca zenon_Ha zenon_Ha8 zenon_Ha9 zenon_Haa zenon_H40 zenon_Hb3. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hc9 ]. % 0.77/0.95 apply (zenon_L50_); trivial. % 0.77/0.95 apply (zenon_L55_); trivial. % 0.77/0.95 (* end of lemma zenon_L56_ *) % 0.77/0.95 assert (zenon_L57_ : (~(hskp4)) -> (hskp4) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hcf zenon_Hd0. % 0.77/0.95 exact (zenon_Hcf zenon_Hd0). % 0.77/0.95 (* end of lemma zenon_L57_ *) % 0.77/0.95 assert (zenon_L58_ : ((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/(hskp4))) -> (c2_1 (a428)) -> (~(c1_1 (a428))) -> (~(c0_1 (a428))) -> (~(hskp4)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H44 zenon_Hd1 zenon_Haa zenon_Ha9 zenon_Ha8 zenon_Hcf. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H46. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H39. zenon_intro zenon_H47. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hd2 ]. % 0.77/0.95 apply (zenon_L48_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ]. % 0.77/0.95 apply (zenon_L15_); trivial. % 0.77/0.95 exact (zenon_Hcf zenon_Hd0). % 0.77/0.95 (* end of lemma zenon_L58_ *) % 0.77/0.95 assert (zenon_L59_ : (forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56)))))) -> (ndr1_0) -> (~(c0_1 (a445))) -> (c1_1 (a445)) -> (c3_1 (a445)) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hd3 zenon_Ha zenon_Hd4 zenon_Hd5 zenon_Hd6. % 0.77/0.95 generalize (zenon_Hd3 (a445)). zenon_intro zenon_Hd7. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_Hd7); [ zenon_intro zenon_H9 | zenon_intro zenon_Hd8 ]. % 0.77/0.95 exact (zenon_H9 zenon_Ha). % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_Hda | zenon_intro zenon_Hd9 ]. % 0.77/0.95 exact (zenon_Hd4 zenon_Hda). % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hdb ]. % 0.77/0.95 exact (zenon_Hdc zenon_Hd5). % 0.77/0.95 exact (zenon_Hdb zenon_Hd6). % 0.77/0.95 (* end of lemma zenon_L59_ *) % 0.77/0.95 assert (zenon_L60_ : ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> (c3_1 (a445)) -> (c1_1 (a445)) -> (~(c0_1 (a445))) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp9)) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hdd zenon_Hd6 zenon_Hd5 zenon_Hd4 zenon_Ha zenon_H1c zenon_H62. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hde ]. % 0.77/0.95 apply (zenon_L59_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H1d | zenon_intro zenon_H63 ]. % 0.77/0.95 exact (zenon_H1c zenon_H1d). % 0.77/0.95 exact (zenon_H62 zenon_H63). % 0.77/0.95 (* end of lemma zenon_L60_ *) % 0.77/0.95 assert (zenon_L61_ : (forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50)))))) -> (ndr1_0) -> (~(c0_1 (a427))) -> (c1_1 (a427)) -> (c2_1 (a427)) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hdf zenon_Ha zenon_He0 zenon_He1 zenon_He2. % 0.77/0.95 generalize (zenon_Hdf (a427)). zenon_intro zenon_He3. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_He3); [ zenon_intro zenon_H9 | zenon_intro zenon_He4 ]. % 0.77/0.95 exact (zenon_H9 zenon_Ha). % 0.77/0.95 apply (zenon_or_s _ _ zenon_He4); [ zenon_intro zenon_He6 | zenon_intro zenon_He5 ]. % 0.77/0.95 exact (zenon_He0 zenon_He6). % 0.77/0.95 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He8 | zenon_intro zenon_He7 ]. % 0.77/0.95 exact (zenon_He8 zenon_He1). % 0.77/0.95 exact (zenon_He7 zenon_He2). % 0.77/0.95 (* end of lemma zenon_L61_ *) % 0.77/0.95 assert (zenon_L62_ : (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))) -> (ndr1_0) -> (~(c1_1 (a428))) -> (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53)))))) -> (c2_1 (a428)) -> False). % 0.77/0.95 do 0 intro. intros zenon_He9 zenon_Ha zenon_Ha9 zenon_Hea zenon_Haa. % 0.77/0.95 generalize (zenon_He9 (a428)). zenon_intro zenon_Heb. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_Heb); [ zenon_intro zenon_H9 | zenon_intro zenon_Hec ]. % 0.77/0.95 exact (zenon_H9 zenon_Ha). % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hed ]. % 0.77/0.95 exact (zenon_Ha9 zenon_Hb0). % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Hee | zenon_intro zenon_Haf ]. % 0.77/0.95 generalize (zenon_Hea (a428)). zenon_intro zenon_Hef. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_Hef); [ zenon_intro zenon_H9 | zenon_intro zenon_Hf0 ]. % 0.77/0.95 exact (zenon_H9 zenon_Ha). % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hf1 ]. % 0.77/0.95 exact (zenon_Ha9 zenon_Hb0). % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_Haf | zenon_intro zenon_Hf2 ]. % 0.77/0.95 exact (zenon_Haf zenon_Haa). % 0.77/0.95 exact (zenon_Hf2 zenon_Hee). % 0.77/0.95 exact (zenon_Haf zenon_Haa). % 0.77/0.95 (* end of lemma zenon_L62_ *) % 0.77/0.95 assert (zenon_L63_ : (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> (c0_1 (a412)) -> (c2_1 (a412)) -> (c3_1 (a412)) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hf3 zenon_Ha zenon_H21 zenon_H23 zenon_Hf4. % 0.77/0.95 generalize (zenon_Hf3 (a412)). zenon_intro zenon_Hf5. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_Hf5); [ zenon_intro zenon_H9 | zenon_intro zenon_Hf6 ]. % 0.77/0.95 exact (zenon_H9 zenon_Ha). % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hf6); [ zenon_intro zenon_H27 | zenon_intro zenon_Hf7 ]. % 0.77/0.95 exact (zenon_H27 zenon_H21). % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_H28 | zenon_intro zenon_Hf8 ]. % 0.77/0.95 exact (zenon_H28 zenon_H23). % 0.77/0.95 exact (zenon_Hf8 zenon_Hf4). % 0.77/0.95 (* end of lemma zenon_L63_ *) % 0.77/0.95 assert (zenon_L64_ : (forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (c0_1 (a412)) -> (c2_1 (a412)) -> (c1_1 (a412)) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hb zenon_Ha zenon_Hf3 zenon_H21 zenon_H23 zenon_H22. % 0.77/0.95 generalize (zenon_Hb (a412)). zenon_intro zenon_Hf9. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_Hf9); [ zenon_intro zenon_H9 | zenon_intro zenon_Hfa ]. % 0.77/0.95 exact (zenon_H9 zenon_Ha). % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hfa); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hfb ]. % 0.77/0.95 apply (zenon_L63_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hfb); [ zenon_intro zenon_H27 | zenon_intro zenon_H29 ]. % 0.77/0.95 exact (zenon_H27 zenon_H21). % 0.77/0.95 exact (zenon_H29 zenon_H22). % 0.77/0.95 (* end of lemma zenon_L64_ *) % 0.77/0.95 assert (zenon_L65_ : (~(hskp22)) -> (hskp22) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hfc zenon_Hfd. % 0.77/0.95 exact (zenon_Hfc zenon_Hfd). % 0.77/0.95 (* end of lemma zenon_L65_ *) % 0.77/0.95 assert (zenon_L66_ : ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (c1_1 (a412)) -> (c2_1 (a412)) -> (c0_1 (a412)) -> (ndr1_0) -> (forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))) -> (~(hskp22)) -> (~(hskp11)) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hfe zenon_H22 zenon_H23 zenon_H21 zenon_Ha zenon_Hb zenon_Hfc zenon_H87. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hff ]. % 0.77/0.95 apply (zenon_L64_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hfd | zenon_intro zenon_H88 ]. % 0.77/0.95 exact (zenon_Hfc zenon_Hfd). % 0.77/0.95 exact (zenon_H87 zenon_H88). % 0.77/0.95 (* end of lemma zenon_L66_ *) % 0.77/0.95 assert (zenon_L67_ : ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> (c0_1 (a412)) -> (c2_1 (a412)) -> (c1_1 (a412)) -> (~(hskp22)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (c2_1 (a428)) -> (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53)))))) -> (~(c1_1 (a428))) -> (ndr1_0) -> False). % 0.77/0.95 do 0 intro. intros zenon_H100 zenon_H21 zenon_H23 zenon_H22 zenon_Hfc zenon_H87 zenon_Hfe zenon_Haa zenon_Hea zenon_Ha9 zenon_Ha. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_He9 | zenon_intro zenon_Hb ]. % 0.77/0.95 apply (zenon_L62_); trivial. % 0.77/0.95 apply (zenon_L66_); trivial. % 0.77/0.95 (* end of lemma zenon_L67_ *) % 0.77/0.95 assert (zenon_L68_ : (forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (c0_1 (a412)) -> (c2_1 (a412)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H101 zenon_Ha zenon_Hf3 zenon_H21 zenon_H23. % 0.77/0.95 generalize (zenon_H101 (a412)). zenon_intro zenon_H102. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H102); [ zenon_intro zenon_H9 | zenon_intro zenon_H103 ]. % 0.77/0.95 exact (zenon_H9 zenon_Ha). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H104 ]. % 0.77/0.95 apply (zenon_L63_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H104); [ zenon_intro zenon_H27 | zenon_intro zenon_H28 ]. % 0.77/0.95 exact (zenon_H27 zenon_H21). % 0.77/0.95 exact (zenon_H28 zenon_H23). % 0.77/0.95 (* end of lemma zenon_L68_ *) % 0.77/0.95 assert (zenon_L69_ : ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (c2_1 (a412)) -> (c0_1 (a412)) -> (ndr1_0) -> (forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))) -> (~(hskp22)) -> (~(hskp11)) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hfe zenon_H23 zenon_H21 zenon_Ha zenon_H101 zenon_Hfc zenon_H87. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hff ]. % 0.77/0.95 apply (zenon_L68_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hfd | zenon_intro zenon_H88 ]. % 0.77/0.95 exact (zenon_Hfc zenon_Hfd). % 0.77/0.95 exact (zenon_H87 zenon_H88). % 0.77/0.95 (* end of lemma zenon_L69_ *) % 0.77/0.95 assert (zenon_L70_ : ((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a427)) -> (c1_1 (a427)) -> (~(c0_1 (a427))) -> (~(c1_1 (a428))) -> (c2_1 (a428)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(hskp22)) -> (~(hskp11)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H2e zenon_H105 zenon_He2 zenon_He1 zenon_He0 zenon_Ha9 zenon_Haa zenon_H100 zenon_Hfe zenon_Hfc zenon_H87. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_Ha. zenon_intro zenon_H30. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H21. zenon_intro zenon_H31. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H22. zenon_intro zenon_H23. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdf | zenon_intro zenon_H106 ]. % 0.77/0.95 apply (zenon_L61_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hea | zenon_intro zenon_H101 ]. % 0.77/0.95 apply (zenon_L67_); trivial. % 0.77/0.95 apply (zenon_L69_); trivial. % 0.77/0.95 (* end of lemma zenon_L70_ *) % 0.77/0.95 assert (zenon_L71_ : (forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38)))))) -> (ndr1_0) -> (~(c0_1 (a434))) -> (~(c3_1 (a434))) -> (c1_1 (a434)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H107 zenon_Ha zenon_H91 zenon_H92 zenon_H9a. % 0.77/0.95 generalize (zenon_H107 (a434)). zenon_intro zenon_H108. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H108); [ zenon_intro zenon_H9 | zenon_intro zenon_H109 ]. % 0.77/0.95 exact (zenon_H9 zenon_Ha). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_H97 | zenon_intro zenon_H9d ]. % 0.77/0.95 exact (zenon_H91 zenon_H97). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H99 | zenon_intro zenon_H9e ]. % 0.77/0.95 exact (zenon_H92 zenon_H99). % 0.77/0.95 exact (zenon_H9e zenon_H9a). % 0.77/0.95 (* end of lemma zenon_L71_ *) % 0.77/0.95 assert (zenon_L72_ : (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(c1_1 (a451))) -> (c0_1 (a451)) -> (c3_1 (a451)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H10a zenon_Ha zenon_H10b zenon_H10c zenon_H10d. % 0.77/0.95 generalize (zenon_H10a (a451)). zenon_intro zenon_H10e. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H10e); [ zenon_intro zenon_H9 | zenon_intro zenon_H10f ]. % 0.77/0.95 exact (zenon_H9 zenon_Ha). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H10f); [ zenon_intro zenon_H111 | zenon_intro zenon_H110 ]. % 0.77/0.95 exact (zenon_H10b zenon_H111). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H113 | zenon_intro zenon_H112 ]. % 0.77/0.95 exact (zenon_H113 zenon_H10c). % 0.77/0.95 exact (zenon_H112 zenon_H10d). % 0.77/0.95 (* end of lemma zenon_L72_ *) % 0.77/0.95 assert (zenon_L73_ : (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39)))))) -> (ndr1_0) -> (~(c1_1 (a451))) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (c0_1 (a451)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H114 zenon_Ha zenon_H10b zenon_H10a zenon_H10c. % 0.77/0.95 generalize (zenon_H114 (a451)). zenon_intro zenon_H115. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H115); [ zenon_intro zenon_H9 | zenon_intro zenon_H116 ]. % 0.77/0.95 exact (zenon_H9 zenon_Ha). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H111 | zenon_intro zenon_H117 ]. % 0.77/0.95 exact (zenon_H10b zenon_H111). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H10d | zenon_intro zenon_H113 ]. % 0.77/0.95 apply (zenon_L72_); trivial. % 0.77/0.95 exact (zenon_H113 zenon_H10c). % 0.77/0.95 (* end of lemma zenon_L73_ *) % 0.77/0.95 assert (zenon_L74_ : ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c0_1 (a451)) -> (~(c1_1 (a451))) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39)))))) -> (c3_1 (a445)) -> (c1_1 (a445)) -> (~(c0_1 (a445))) -> (ndr1_0) -> False). % 0.77/0.95 do 0 intro. intros zenon_H118 zenon_H10c zenon_H10b zenon_H114 zenon_Hd6 zenon_Hd5 zenon_Hd4 zenon_Ha. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H10a ]. % 0.77/0.95 apply (zenon_L59_); trivial. % 0.77/0.95 apply (zenon_L73_); trivial. % 0.77/0.95 (* end of lemma zenon_L74_ *) % 0.77/0.95 assert (zenon_L75_ : ((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp9))) -> (c1_1 (a434)) -> (~(c3_1 (a434))) -> (~(c0_1 (a434))) -> (~(c0_1 (a445))) -> (c1_1 (a445)) -> (c3_1 (a445)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(hskp9)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H119 zenon_H11a zenon_H9a zenon_H92 zenon_H91 zenon_Hd4 zenon_Hd5 zenon_Hd6 zenon_H118 zenon_H62. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_Ha. zenon_intro zenon_H11b. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10c. zenon_intro zenon_H11c. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H11d. zenon_intro zenon_H10b. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H107 | zenon_intro zenon_H11e ]. % 0.77/0.95 apply (zenon_L71_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H114 | zenon_intro zenon_H63 ]. % 0.77/0.95 apply (zenon_L74_); trivial. % 0.77/0.95 exact (zenon_H62 zenon_H63). % 0.77/0.95 (* end of lemma zenon_L75_ *) % 0.77/0.95 assert (zenon_L76_ : ((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp9))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c1_1 (a434)) -> (~(c3_1 (a434))) -> (~(c0_1 (a434))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a427))) -> (c1_1 (a427)) -> (c2_1 (a427)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (c2_1 (a428)) -> (~(c1_1 (a428))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H11f zenon_H120 zenon_H11a zenon_H118 zenon_H9a zenon_H92 zenon_H91 zenon_Hdd zenon_H62 zenon_He0 zenon_He1 zenon_He2 zenon_H100 zenon_H87 zenon_Hfe zenon_Haa zenon_Ha9 zenon_H105 zenon_H33. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Ha. zenon_intro zenon_H121. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Hd5. zenon_intro zenon_H122. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_Hd6. zenon_intro zenon_Hd4. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H1c | zenon_intro zenon_H2e ]. % 0.77/0.95 apply (zenon_L60_); trivial. % 0.77/0.95 apply (zenon_L70_); trivial. % 0.77/0.95 apply (zenon_L75_); trivial. % 0.77/0.95 (* end of lemma zenon_L76_ *) % 0.77/0.95 assert (zenon_L77_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a420))) -> (~(c1_1 (a420))) -> (~(c2_1 (a420))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H123 zenon_Ha zenon_H124 zenon_H125 zenon_H126. % 0.77/0.95 generalize (zenon_H123 (a420)). zenon_intro zenon_H127. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H127); [ zenon_intro zenon_H9 | zenon_intro zenon_H128 ]. % 0.77/0.95 exact (zenon_H9 zenon_Ha). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H128); [ zenon_intro zenon_H12a | zenon_intro zenon_H129 ]. % 0.77/0.95 exact (zenon_H124 zenon_H12a). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H12c | zenon_intro zenon_H12b ]. % 0.77/0.95 exact (zenon_H125 zenon_H12c). % 0.77/0.95 exact (zenon_H126 zenon_H12b). % 0.77/0.95 (* end of lemma zenon_L77_ *) % 0.77/0.95 assert (zenon_L78_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(c2_1 (a420))) -> (~(c1_1 (a420))) -> (~(c0_1 (a420))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp2)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H12d zenon_H126 zenon_H125 zenon_H124 zenon_Ha zenon_Hc7 zenon_H6a. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H123 | zenon_intro zenon_H12e ]. % 0.77/0.95 apply (zenon_L77_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H6b ]. % 0.77/0.95 exact (zenon_Hc7 zenon_Hc8). % 0.77/0.95 exact (zenon_H6a zenon_H6b). % 0.77/0.95 (* end of lemma zenon_L78_ *) % 0.77/0.95 assert (zenon_L79_ : (~(hskp15)) -> (hskp15) -> False). % 0.77/0.95 do 0 intro. intros zenon_H12f zenon_H130. % 0.77/0.95 exact (zenon_H12f zenon_H130). % 0.77/0.95 (* end of lemma zenon_L79_ *) % 0.77/0.95 assert (zenon_L80_ : (~(hskp6)) -> (hskp6) -> False). % 0.77/0.95 do 0 intro. intros zenon_H131 zenon_H132. % 0.77/0.95 exact (zenon_H131 zenon_H132). % 0.77/0.95 (* end of lemma zenon_L80_ *) % 0.77/0.95 assert (zenon_L81_ : ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((hskp15)\/(hskp6))) -> (c2_1 (a427)) -> (c1_1 (a427)) -> (~(c0_1 (a427))) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp6)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H133 zenon_He2 zenon_He1 zenon_He0 zenon_Ha zenon_H12f zenon_H131. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_Hdf | zenon_intro zenon_H134 ]. % 0.77/0.95 apply (zenon_L61_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H130 | zenon_intro zenon_H132 ]. % 0.77/0.95 exact (zenon_H12f zenon_H130). % 0.77/0.95 exact (zenon_H131 zenon_H132). % 0.77/0.95 (* end of lemma zenon_L81_ *) % 0.77/0.95 assert (zenon_L82_ : (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))) -> (ndr1_0) -> (~(c0_1 (a416))) -> (~(c1_1 (a416))) -> (c3_1 (a416)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H135 zenon_Ha zenon_H136 zenon_H137 zenon_H138. % 0.77/0.95 generalize (zenon_H135 (a416)). zenon_intro zenon_H139. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H139); [ zenon_intro zenon_H9 | zenon_intro zenon_H13a ]. % 0.77/0.95 exact (zenon_H9 zenon_Ha). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H13c | zenon_intro zenon_H13b ]. % 0.77/0.95 exact (zenon_H136 zenon_H13c). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H13e | zenon_intro zenon_H13d ]. % 0.77/0.95 exact (zenon_H137 zenon_H13e). % 0.77/0.95 exact (zenon_H13d zenon_H138). % 0.77/0.95 (* end of lemma zenon_L82_ *) % 0.77/0.95 assert (zenon_L83_ : ((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp7))) -> (c3_1 (a416)) -> (~(c1_1 (a416))) -> (~(c0_1 (a416))) -> (~(hskp7)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H6c zenon_H13f zenon_H138 zenon_H137 zenon_H136 zenon_H4a. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_Ha. zenon_intro zenon_H6e. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_Hf. zenon_intro zenon_H6f. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H135 | zenon_intro zenon_H140 ]. % 0.77/0.95 apply (zenon_L82_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H66 | zenon_intro zenon_H4b ]. % 0.77/0.95 apply (zenon_L26_); trivial. % 0.77/0.95 exact (zenon_H4a zenon_H4b). % 0.77/0.95 (* end of lemma zenon_L83_ *) % 0.77/0.95 assert (zenon_L84_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a416)) -> (~(c1_1 (a416))) -> (~(c0_1 (a416))) -> (~(hskp18)) -> (~(hskp20)) -> ((hskp18)\/((hskp20)\/(hskp23))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H71 zenon_H13f zenon_H4a zenon_H138 zenon_H137 zenon_H136 zenon_H1 zenon_H3 zenon_H7. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.77/0.95 apply (zenon_L4_); trivial. % 0.77/0.95 apply (zenon_L83_); trivial. % 0.77/0.95 (* end of lemma zenon_L84_ *) % 0.77/0.95 assert (zenon_L85_ : (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10)))))) -> (ndr1_0) -> (~(c0_1 (a416))) -> (~(c2_1 (a416))) -> (c3_1 (a416)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H36 zenon_Ha zenon_H136 zenon_H141 zenon_H138. % 0.77/0.95 generalize (zenon_H36 (a416)). zenon_intro zenon_H142. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H142); [ zenon_intro zenon_H9 | zenon_intro zenon_H143 ]. % 0.77/0.95 exact (zenon_H9 zenon_Ha). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H13c | zenon_intro zenon_H144 ]. % 0.77/0.95 exact (zenon_H136 zenon_H13c). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H145 | zenon_intro zenon_H13d ]. % 0.77/0.95 exact (zenon_H141 zenon_H145). % 0.77/0.95 exact (zenon_H13d zenon_H138). % 0.77/0.95 (* end of lemma zenon_L85_ *) % 0.77/0.95 assert (zenon_L86_ : (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53)))))) -> (ndr1_0) -> (~(c1_1 (a416))) -> (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10)))))) -> (~(c0_1 (a416))) -> (c3_1 (a416)) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hea zenon_Ha zenon_H137 zenon_H36 zenon_H136 zenon_H138. % 0.77/0.95 generalize (zenon_Hea (a416)). zenon_intro zenon_H146. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H146); [ zenon_intro zenon_H9 | zenon_intro zenon_H147 ]. % 0.77/0.95 exact (zenon_H9 zenon_Ha). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H13e | zenon_intro zenon_H148 ]. % 0.77/0.95 exact (zenon_H137 zenon_H13e). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H141 | zenon_intro zenon_H13d ]. % 0.77/0.95 apply (zenon_L85_); trivial. % 0.77/0.95 exact (zenon_H13d zenon_H138). % 0.77/0.95 (* end of lemma zenon_L86_ *) % 0.77/0.95 assert (zenon_L87_ : (forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))) -> (ndr1_0) -> (~(c3_1 (a430))) -> (c0_1 (a430)) -> (c2_1 (a430)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H101 zenon_Ha zenon_H149 zenon_H14a zenon_H14b. % 0.77/0.95 generalize (zenon_H101 (a430)). zenon_intro zenon_H14c. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H14c); [ zenon_intro zenon_H9 | zenon_intro zenon_H14d ]. % 0.77/0.95 exact (zenon_H9 zenon_Ha). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H14f | zenon_intro zenon_H14e ]. % 0.77/0.95 exact (zenon_H149 zenon_H14f). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H151 | zenon_intro zenon_H150 ]. % 0.77/0.95 exact (zenon_H151 zenon_H14a). % 0.77/0.95 exact (zenon_H150 zenon_H14b). % 0.77/0.95 (* end of lemma zenon_L87_ *) % 0.77/0.95 assert (zenon_L88_ : ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a427)) -> (c1_1 (a427)) -> (~(c0_1 (a427))) -> (c3_1 (a416)) -> (~(c0_1 (a416))) -> (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10)))))) -> (~(c1_1 (a416))) -> (ndr1_0) -> (~(c3_1 (a430))) -> (c0_1 (a430)) -> (c2_1 (a430)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H105 zenon_He2 zenon_He1 zenon_He0 zenon_H138 zenon_H136 zenon_H36 zenon_H137 zenon_Ha zenon_H149 zenon_H14a zenon_H14b. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdf | zenon_intro zenon_H106 ]. % 0.77/0.95 apply (zenon_L61_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hea | zenon_intro zenon_H101 ]. % 0.77/0.95 apply (zenon_L86_); trivial. % 0.77/0.95 apply (zenon_L87_); trivial. % 0.77/0.95 (* end of lemma zenon_L88_ *) % 0.77/0.95 assert (zenon_L89_ : (~(hskp10)) -> (hskp10) -> False). % 0.77/0.95 do 0 intro. intros zenon_H152 zenon_H153. % 0.77/0.95 exact (zenon_H152 zenon_H153). % 0.77/0.95 (* end of lemma zenon_L89_ *) % 0.77/0.95 assert (zenon_L90_ : ((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (c2_1 (a430)) -> (c0_1 (a430)) -> (~(c3_1 (a430))) -> (~(c1_1 (a416))) -> (~(c0_1 (a416))) -> (c3_1 (a416)) -> (~(c0_1 (a427))) -> (c1_1 (a427)) -> (c2_1 (a427)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(hskp10)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H78 zenon_H154 zenon_H14b zenon_H14a zenon_H149 zenon_H137 zenon_H136 zenon_H138 zenon_He0 zenon_He1 zenon_He2 zenon_H105 zenon_H152. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H7a. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H50. zenon_intro zenon_H7b. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H4f. zenon_intro zenon_H52. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H36 | zenon_intro zenon_H155 ]. % 0.77/0.95 apply (zenon_L88_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H72 | zenon_intro zenon_H153 ]. % 0.77/0.95 apply (zenon_L30_); trivial. % 0.77/0.95 exact (zenon_H152 zenon_H153). % 0.77/0.95 (* end of lemma zenon_L90_ *) % 0.77/0.95 assert (zenon_L91_ : ((ndr1_0)/\((~(c0_1 (a420)))/\((~(c1_1 (a420)))/\(~(c2_1 (a420)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp1)) -> (~(hskp2)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H156 zenon_H12d zenon_Hc7 zenon_H6a. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H124. zenon_intro zenon_H158. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H125. zenon_intro zenon_H126. % 0.77/0.95 apply (zenon_L78_); trivial. % 0.77/0.95 (* end of lemma zenon_L91_ *) % 0.77/0.95 assert (zenon_L92_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V)))))) -> (ndr1_0) -> (~(c0_1 (a416))) -> (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10)))))) -> (c3_1 (a416)) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hb8 zenon_Ha zenon_H136 zenon_H36 zenon_H138. % 0.77/0.95 generalize (zenon_Hb8 (a416)). zenon_intro zenon_H159. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H159); [ zenon_intro zenon_H9 | zenon_intro zenon_H15a ]. % 0.77/0.95 exact (zenon_H9 zenon_Ha). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H13c | zenon_intro zenon_H148 ]. % 0.77/0.95 exact (zenon_H136 zenon_H13c). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H141 | zenon_intro zenon_H13d ]. % 0.77/0.95 apply (zenon_L85_); trivial. % 0.77/0.95 exact (zenon_H13d zenon_H138). % 0.77/0.95 (* end of lemma zenon_L92_ *) % 0.77/0.95 assert (zenon_L93_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp0)\/(hskp11))) -> (ndr1_0) -> (~(c3_1 (a460))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7))))) -> (~(c2_1 (a460))) -> (c1_1 (a460)) -> (~(c0_1 (a416))) -> (c3_1 (a416)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11))) -> (~(hskp0)) -> (~(hskp11)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H15b zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_Hf zenon_H136 zenon_H138 zenon_H15c zenon_H1e zenon_H87. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H36 | zenon_intro zenon_H15d ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H15e ]. % 0.77/0.95 apply (zenon_L92_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hb | zenon_intro zenon_H88 ]. % 0.77/0.95 apply (zenon_L6_); trivial. % 0.77/0.95 exact (zenon_H87 zenon_H88). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H1f | zenon_intro zenon_H88 ]. % 0.77/0.95 exact (zenon_H1e zenon_H1f). % 0.77/0.95 exact (zenon_H87 zenon_H88). % 0.77/0.95 (* end of lemma zenon_L93_ *) % 0.77/0.95 assert (zenon_L94_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> (~(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11))) -> (c3_1 (a416)) -> (~(c0_1 (a416))) -> (c1_1 (a460)) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (ndr1_0) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp0)\/(hskp11))) -> (~(hskp27)) -> (~(hskp0)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H34 zenon_H87 zenon_H15c zenon_H138 zenon_H136 zenon_Hf zenon_He zenon_Hc zenon_Ha zenon_H15b zenon_H1c zenon_H1e. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_Hd | zenon_intro zenon_H35 ]. % 0.77/0.95 apply (zenon_L93_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H1f ]. % 0.77/0.95 exact (zenon_H1c zenon_H1d). % 0.77/0.95 exact (zenon_H1e zenon_H1f). % 0.77/0.95 (* end of lemma zenon_L94_ *) % 0.77/0.95 assert (zenon_L95_ : ((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp0)\/(hskp11))) -> (~(hskp0)) -> (~(hskp11)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H44 zenon_H15b zenon_H1e zenon_H87. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H46. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H39. zenon_intro zenon_H47. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H36 | zenon_intro zenon_H15d ]. % 0.77/0.95 apply (zenon_L15_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H1f | zenon_intro zenon_H88 ]. % 0.77/0.95 exact (zenon_H1e zenon_H1f). % 0.77/0.95 exact (zenon_H87 zenon_H88). % 0.77/0.95 (* end of lemma zenon_L95_ *) % 0.77/0.95 assert (zenon_L96_ : ((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a416)) -> (~(c0_1 (a416))) -> (~(hskp0)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp0)\/(hskp11))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H6c zenon_H49 zenon_H34 zenon_H15c zenon_H87 zenon_H138 zenon_H136 zenon_H1e zenon_H15b zenon_H2a zenon_H2f zenon_H33. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_Ha. zenon_intro zenon_H6e. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_Hf. zenon_intro zenon_H6f. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H2c | zenon_intro zenon_H44 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H1c | zenon_intro zenon_H2e ]. % 0.77/0.95 apply (zenon_L94_); trivial. % 0.77/0.95 apply (zenon_L13_); trivial. % 0.77/0.95 apply (zenon_L95_); trivial. % 0.77/0.95 (* end of lemma zenon_L96_ *) % 0.77/0.95 assert (zenon_L97_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a416)) -> (~(c0_1 (a416))) -> (~(hskp0)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp0)\/(hskp11))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> (~(hskp18)) -> (~(hskp20)) -> ((hskp18)\/((hskp20)\/(hskp23))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H71 zenon_H49 zenon_H34 zenon_H15c zenon_H87 zenon_H138 zenon_H136 zenon_H1e zenon_H15b zenon_H2a zenon_H2f zenon_H33 zenon_H1 zenon_H3 zenon_H7. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.77/0.95 apply (zenon_L4_); trivial. % 0.77/0.95 apply (zenon_L96_); trivial. % 0.77/0.95 (* end of lemma zenon_L97_ *) % 0.77/0.95 assert (zenon_L98_ : (forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26)))))) -> (ndr1_0) -> (~(c0_1 (a418))) -> (~(c2_1 (a418))) -> (c1_1 (a418)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H51 zenon_Ha zenon_H15f zenon_H160 zenon_H161. % 0.77/0.95 generalize (zenon_H51 (a418)). zenon_intro zenon_H162. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H162); [ zenon_intro zenon_H9 | zenon_intro zenon_H163 ]. % 0.77/0.95 exact (zenon_H9 zenon_Ha). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H165 | zenon_intro zenon_H164 ]. % 0.77/0.95 exact (zenon_H15f zenon_H165). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H167 | zenon_intro zenon_H166 ]. % 0.77/0.95 exact (zenon_H160 zenon_H167). % 0.77/0.95 exact (zenon_H166 zenon_H161). % 0.77/0.95 (* end of lemma zenon_L98_ *) % 0.77/0.95 assert (zenon_L99_ : (forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))) -> (ndr1_0) -> (~(c1_1 (a416))) -> (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53)))))) -> (c3_1 (a416)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H168 zenon_Ha zenon_H137 zenon_Hea zenon_H138. % 0.77/0.95 generalize (zenon_H168 (a416)). zenon_intro zenon_H169. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H169); [ zenon_intro zenon_H9 | zenon_intro zenon_H16a ]. % 0.77/0.95 exact (zenon_H9 zenon_Ha). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H13e | zenon_intro zenon_H144 ]. % 0.77/0.95 exact (zenon_H137 zenon_H13e). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H145 | zenon_intro zenon_H13d ]. % 0.77/0.95 generalize (zenon_Hea (a416)). zenon_intro zenon_H146. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H146); [ zenon_intro zenon_H9 | zenon_intro zenon_H147 ]. % 0.77/0.95 exact (zenon_H9 zenon_Ha). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H13e | zenon_intro zenon_H148 ]. % 0.77/0.95 exact (zenon_H137 zenon_H13e). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H141 | zenon_intro zenon_H13d ]. % 0.77/0.95 exact (zenon_H141 zenon_H145). % 0.77/0.95 exact (zenon_H13d zenon_H138). % 0.77/0.95 exact (zenon_H13d zenon_H138). % 0.77/0.95 (* end of lemma zenon_L99_ *) % 0.77/0.95 assert (zenon_L100_ : ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a427)) -> (c1_1 (a427)) -> (~(c0_1 (a427))) -> (c3_1 (a416)) -> (~(c1_1 (a416))) -> (forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))) -> (ndr1_0) -> (~(c3_1 (a430))) -> (c0_1 (a430)) -> (c2_1 (a430)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H105 zenon_He2 zenon_He1 zenon_He0 zenon_H138 zenon_H137 zenon_H168 zenon_Ha zenon_H149 zenon_H14a zenon_H14b. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdf | zenon_intro zenon_H106 ]. % 0.77/0.95 apply (zenon_L61_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hea | zenon_intro zenon_H101 ]. % 0.77/0.95 apply (zenon_L99_); trivial. % 0.77/0.95 apply (zenon_L87_); trivial. % 0.77/0.95 (* end of lemma zenon_L100_ *) % 0.77/0.95 assert (zenon_L101_ : (~(hskp28)) -> (hskp28) -> False). % 0.77/0.95 do 0 intro. intros zenon_H16b zenon_H16c. % 0.77/0.95 exact (zenon_H16b zenon_H16c). % 0.77/0.95 (* end of lemma zenon_L101_ *) % 0.77/0.95 assert (zenon_L102_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/(hskp28))) -> (c1_1 (a418)) -> (~(c2_1 (a418))) -> (~(c0_1 (a418))) -> (c2_1 (a430)) -> (c0_1 (a430)) -> (~(c3_1 (a430))) -> (ndr1_0) -> (~(c1_1 (a416))) -> (c3_1 (a416)) -> (~(c0_1 (a427))) -> (c1_1 (a427)) -> (c2_1 (a427)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(hskp28)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H16d zenon_H161 zenon_H160 zenon_H15f zenon_H14b zenon_H14a zenon_H149 zenon_Ha zenon_H137 zenon_H138 zenon_He0 zenon_He1 zenon_He2 zenon_H105 zenon_H16b. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H51 | zenon_intro zenon_H16e ]. % 0.77/0.95 apply (zenon_L98_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H168 | zenon_intro zenon_H16c ]. % 0.77/0.95 apply (zenon_L100_); trivial. % 0.77/0.95 exact (zenon_H16b zenon_H16c). % 0.77/0.95 (* end of lemma zenon_L102_ *) % 0.77/0.95 assert (zenon_L103_ : (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> (c0_1 (a414)) -> (c2_1 (a414)) -> (c3_1 (a414)) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hf3 zenon_Ha zenon_H16f zenon_H170 zenon_H171. % 0.77/0.95 generalize (zenon_Hf3 (a414)). zenon_intro zenon_H172. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H172); [ zenon_intro zenon_H9 | zenon_intro zenon_H173 ]. % 0.77/0.95 exact (zenon_H9 zenon_Ha). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H173); [ zenon_intro zenon_H175 | zenon_intro zenon_H174 ]. % 0.77/0.95 exact (zenon_H175 zenon_H16f). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H177 | zenon_intro zenon_H176 ]. % 0.77/0.95 exact (zenon_H177 zenon_H170). % 0.77/0.95 exact (zenon_H176 zenon_H171). % 0.77/0.95 (* end of lemma zenon_L103_ *) % 0.77/0.95 assert (zenon_L104_ : ((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414))))) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(hskp22)) -> (~(hskp11)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H178 zenon_Hfe zenon_Hfc zenon_H87. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_Ha. zenon_intro zenon_H179. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H16f. zenon_intro zenon_H17a. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hff ]. % 0.77/0.95 apply (zenon_L103_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hfd | zenon_intro zenon_H88 ]. % 0.77/0.95 exact (zenon_Hfc zenon_Hfd). % 0.77/0.95 exact (zenon_H87 zenon_H88). % 0.77/0.95 (* end of lemma zenon_L104_ *) % 0.77/0.95 assert (zenon_L105_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(hskp22)) -> (ndr1_0) -> (~(c0_1 (a418))) -> (~(c2_1 (a418))) -> (c1_1 (a418)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a430)) -> (c0_1 (a430)) -> (~(c3_1 (a430))) -> (c3_1 (a416)) -> (~(c1_1 (a416))) -> (c2_1 (a427)) -> (c1_1 (a427)) -> (~(c0_1 (a427))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/(hskp28))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H17b zenon_Hfe zenon_H87 zenon_Hfc zenon_Ha zenon_H15f zenon_H160 zenon_H161 zenon_H105 zenon_H14b zenon_H14a zenon_H149 zenon_H138 zenon_H137 zenon_He2 zenon_He1 zenon_He0 zenon_H16d. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H16b | zenon_intro zenon_H178 ]. % 0.77/0.95 apply (zenon_L102_); trivial. % 0.77/0.95 apply (zenon_L104_); trivial. % 0.77/0.95 (* end of lemma zenon_L105_ *) % 0.77/0.95 assert (zenon_L106_ : (forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33)))))) -> (ndr1_0) -> (~(c1_1 (a451))) -> (c0_1 (a451)) -> (c2_1 (a451)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H17c zenon_Ha zenon_H10b zenon_H10c zenon_H11d. % 0.77/0.95 generalize (zenon_H17c (a451)). zenon_intro zenon_H17d. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H17d); [ zenon_intro zenon_H9 | zenon_intro zenon_H17e ]. % 0.77/0.95 exact (zenon_H9 zenon_Ha). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_H111 | zenon_intro zenon_H17f ]. % 0.77/0.95 exact (zenon_H10b zenon_H111). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H113 | zenon_intro zenon_H180 ]. % 0.77/0.95 exact (zenon_H113 zenon_H10c). % 0.77/0.95 exact (zenon_H180 zenon_H11d). % 0.77/0.95 (* end of lemma zenon_L106_ *) % 0.77/0.95 assert (zenon_L107_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/(hskp4))) -> (c3_1 (a416)) -> (~(c0_1 (a416))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V)))))) -> (c2_1 (a451)) -> (c0_1 (a451)) -> (~(c1_1 (a451))) -> (ndr1_0) -> (~(hskp4)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H181 zenon_H138 zenon_H136 zenon_Hb8 zenon_H11d zenon_H10c zenon_H10b zenon_Ha zenon_Hcf. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H36 | zenon_intro zenon_H182 ]. % 0.77/0.95 apply (zenon_L92_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H17c | zenon_intro zenon_Hd0 ]. % 0.77/0.95 apply (zenon_L106_); trivial. % 0.77/0.95 exact (zenon_Hcf zenon_Hd0). % 0.77/0.95 (* end of lemma zenon_L107_ *) % 0.77/0.95 assert (zenon_L108_ : ((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))))) -> (~(hskp16)) -> (~(hskp7)) -> (~(c2_1 (a449))) -> (c1_1 (a449)) -> (c3_1 (a449)) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16))) -> (~(hskp4)) -> (~(c0_1 (a416))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/(hskp4))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a427)) -> (c1_1 (a427)) -> (~(c0_1 (a427))) -> (c3_1 (a416)) -> (~(c1_1 (a416))) -> (~(c3_1 (a430))) -> (c0_1 (a430)) -> (c2_1 (a430)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H119 zenon_H183 zenon_H4c zenon_H4a zenon_H52 zenon_H50 zenon_H4f zenon_H4e zenon_Hcf zenon_H136 zenon_H181 zenon_H105 zenon_He2 zenon_He1 zenon_He0 zenon_H138 zenon_H137 zenon_H149 zenon_H14a zenon_H14b. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_Ha. zenon_intro zenon_H11b. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10c. zenon_intro zenon_H11c. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H11d. zenon_intro zenon_H10b. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H51 | zenon_intro zenon_H184 ]. % 0.77/0.95 apply (zenon_L22_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H168 ]. % 0.77/0.95 apply (zenon_L107_); trivial. % 0.77/0.95 apply (zenon_L100_); trivial. % 0.77/0.95 (* end of lemma zenon_L108_ *) % 0.77/0.95 assert (zenon_L109_ : ((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451)))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp1))) -> (c2_1 (a427)) -> (c1_1 (a427)) -> (~(c0_1 (a427))) -> (~(c0_1 (a445))) -> (c1_1 (a445)) -> (c3_1 (a445)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(hskp1)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H119 zenon_H185 zenon_He2 zenon_He1 zenon_He0 zenon_Hd4 zenon_Hd5 zenon_Hd6 zenon_H118 zenon_Hc7. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_Ha. zenon_intro zenon_H11b. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10c. zenon_intro zenon_H11c. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H11d. zenon_intro zenon_H10b. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hdf | zenon_intro zenon_H186 ]. % 0.77/0.95 apply (zenon_L61_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H114 | zenon_intro zenon_Hc8 ]. % 0.77/0.95 apply (zenon_L74_); trivial. % 0.77/0.95 exact (zenon_Hc7 zenon_Hc8). % 0.77/0.95 (* end of lemma zenon_L109_ *) % 0.77/0.95 assert (zenon_L110_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp7))) -> (c3_1 (a416)) -> (~(c1_1 (a416))) -> (~(c0_1 (a416))) -> (c1_1 (a434)) -> (~(c3_1 (a434))) -> (~(c0_1 (a434))) -> (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17)))))) -> (ndr1_0) -> (~(hskp7)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H13f zenon_H138 zenon_H137 zenon_H136 zenon_H9a zenon_H92 zenon_H91 zenon_H90 zenon_Ha zenon_H4a. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H135 | zenon_intro zenon_H140 ]. % 0.77/0.95 apply (zenon_L82_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H66 | zenon_intro zenon_H4b ]. % 0.77/0.95 apply (zenon_L39_); trivial. % 0.77/0.95 exact (zenon_H4a zenon_H4b). % 0.77/0.95 (* end of lemma zenon_L110_ *) % 0.77/0.95 assert (zenon_L111_ : ((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))))) -> (~(hskp7)) -> (~(c0_1 (a416))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp7))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a427)) -> (c1_1 (a427)) -> (~(c0_1 (a427))) -> (c3_1 (a416)) -> (~(c1_1 (a416))) -> (~(c3_1 (a430))) -> (c0_1 (a430)) -> (c2_1 (a430)) -> False). % 0.77/0.95 do 0 intro. intros zenon_Ha3 zenon_H187 zenon_H4a zenon_H136 zenon_H13f zenon_H105 zenon_He2 zenon_He1 zenon_He0 zenon_H138 zenon_H137 zenon_H149 zenon_H14a zenon_H14b. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_Ha. zenon_intro zenon_Ha4. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H9a. zenon_intro zenon_Ha5. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H91. zenon_intro zenon_H92. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H135 | zenon_intro zenon_H188 ]. % 0.77/0.95 apply (zenon_L82_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H90 | zenon_intro zenon_H168 ]. % 0.77/0.95 apply (zenon_L110_); trivial. % 0.77/0.95 apply (zenon_L100_); trivial. % 0.77/0.95 (* end of lemma zenon_L111_ *) % 0.77/0.95 assert (zenon_L112_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a418))/\((~(c0_1 (a418)))/\(~(c2_1 (a418))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))))) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/(hskp4))) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp0)\/(hskp11))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a430))/\((c2_1 (a430))/\(~(c3_1 (a430))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp7))) -> (c3_1 (a416)) -> (~(c1_1 (a416))) -> (~(c0_1 (a416))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp6)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((hskp15)\/(hskp6))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> ((hskp18)\/((hskp20)\/(hskp23))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((hskp2)\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a440))/\((~(c2_1 (a440)))/\(~(c3_1 (a440))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a420)))/\((~(c1_1 (a420)))/\(~(c2_1 (a420))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H189 zenon_H120 zenon_H183 zenon_Hcf zenon_H181 zenon_H4e zenon_H16d zenon_Hfe zenon_H17b zenon_H33 zenon_H2f zenon_H15b zenon_H1e zenon_H15c zenon_H34 zenon_H49 zenon_H118 zenon_H185 zenon_H18a zenon_H187 zenon_Ha6 zenon_H18b zenon_H18c zenon_H13f zenon_H138 zenon_H137 zenon_H136 zenon_H105 zenon_H154 zenon_H131 zenon_H133 zenon_H8f zenon_H79 zenon_H7 zenon_H6a zenon_H4a zenon_H6d zenon_H71 zenon_H89 zenon_H8e zenon_Hc7 zenon_H12d zenon_H18d. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H76 | zenon_intro zenon_H18f ]. % 0.77/0.95 apply (zenon_L37_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Ha. zenon_intro zenon_H190. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_He1. zenon_intro zenon_H191. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_He2. zenon_intro zenon_He0. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H12f | zenon_intro zenon_H192 ]. % 0.77/0.95 apply (zenon_L81_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_Ha. zenon_intro zenon_H193. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H14a. zenon_intro zenon_H194. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H14b. zenon_intro zenon_H149. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H1 | zenon_intro zenon_H8b ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.77/0.95 apply (zenon_L84_); trivial. % 0.77/0.95 apply (zenon_L90_); trivial. % 0.77/0.95 apply (zenon_L36_); trivial. % 0.77/0.95 apply (zenon_L91_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H195. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H161. zenon_intro zenon_H196. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H76 | zenon_intro zenon_H18f ]. % 0.77/0.95 apply (zenon_L37_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Ha. zenon_intro zenon_H190. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_He1. zenon_intro zenon_H191. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_He2. zenon_intro zenon_He0. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H12f | zenon_intro zenon_H192 ]. % 0.77/0.95 apply (zenon_L81_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_Ha. zenon_intro zenon_H193. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H14a. zenon_intro zenon_H194. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H14b. zenon_intro zenon_H149. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H4c | zenon_intro zenon_Ha3 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H1 | zenon_intro zenon_H8b ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.77/0.95 apply (zenon_L97_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H7a. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H50. zenon_intro zenon_H7b. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H4f. zenon_intro zenon_H52. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.77/0.95 apply (zenon_L105_); trivial. % 0.77/0.95 apply (zenon_L108_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Ha. zenon_intro zenon_H121. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Hd5. zenon_intro zenon_H122. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_Hd6. zenon_intro zenon_Hd4. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.77/0.95 apply (zenon_L105_); trivial. % 0.77/0.95 apply (zenon_L109_); trivial. % 0.77/0.95 apply (zenon_L36_); trivial. % 0.77/0.95 apply (zenon_L111_); trivial. % 0.77/0.95 apply (zenon_L91_); trivial. % 0.77/0.95 (* end of lemma zenon_L112_ *) % 0.77/0.95 assert (zenon_L113_ : (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53)))))) -> (ndr1_0) -> (~(c1_1 (a415))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hea zenon_Ha zenon_H197 zenon_H198 zenon_H199. % 0.77/0.95 generalize (zenon_Hea (a415)). zenon_intro zenon_H19a. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H19a); [ zenon_intro zenon_H9 | zenon_intro zenon_H19b ]. % 0.77/0.95 exact (zenon_H9 zenon_Ha). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H19d | zenon_intro zenon_H19c ]. % 0.77/0.95 exact (zenon_H197 zenon_H19d). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H19f | zenon_intro zenon_H19e ]. % 0.77/0.95 exact (zenon_H19f zenon_H198). % 0.77/0.95 exact (zenon_H19e zenon_H199). % 0.77/0.95 (* end of lemma zenon_L113_ *) % 0.77/0.95 assert (zenon_L114_ : ((ndr1_0)/\((c0_1 (a430))/\((c2_1 (a430))/\(~(c3_1 (a430)))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a427)) -> (c1_1 (a427)) -> (~(c0_1 (a427))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (~(c1_1 (a415))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H192 zenon_H105 zenon_He2 zenon_He1 zenon_He0 zenon_H199 zenon_H198 zenon_H197. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_Ha. zenon_intro zenon_H193. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H14a. zenon_intro zenon_H194. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H14b. zenon_intro zenon_H149. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdf | zenon_intro zenon_H106 ]. % 0.77/0.95 apply (zenon_L61_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hea | zenon_intro zenon_H101 ]. % 0.77/0.95 apply (zenon_L113_); trivial. % 0.77/0.95 apply (zenon_L87_); trivial. % 0.77/0.95 (* end of lemma zenon_L114_ *) % 0.77/0.95 assert (zenon_L115_ : ((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a430))/\((c2_1 (a430))/\(~(c3_1 (a430))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (~(c1_1 (a415))) -> (~(hskp6)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((hskp15)\/(hskp6))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H18f zenon_H18c zenon_H105 zenon_H199 zenon_H198 zenon_H197 zenon_H131 zenon_H133. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Ha. zenon_intro zenon_H190. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_He1. zenon_intro zenon_H191. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_He2. zenon_intro zenon_He0. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H12f | zenon_intro zenon_H192 ]. % 0.77/0.95 apply (zenon_L81_); trivial. % 0.77/0.95 apply (zenon_L114_); trivial. % 0.77/0.95 (* end of lemma zenon_L115_ *) % 0.77/0.95 assert (zenon_L116_ : ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a420)))/\((~(c1_1 (a420)))/\(~(c2_1 (a420))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp1)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a440))/\((~(c2_1 (a440)))/\(~(c3_1 (a440))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((hskp2)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((hskp18)\/((hskp20)\/(hskp23))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((hskp15)\/(hskp6))) -> (~(hskp6)) -> (~(c1_1 (a415))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a430))/\((c2_1 (a430))/\(~(c3_1 (a430))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H18d zenon_H12d zenon_Hc7 zenon_H8e zenon_H89 zenon_H71 zenon_H6d zenon_H4a zenon_H6a zenon_H7 zenon_H79 zenon_H8f zenon_H133 zenon_H131 zenon_H197 zenon_H198 zenon_H199 zenon_H105 zenon_H18c zenon_H18b. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H76 | zenon_intro zenon_H18f ]. % 0.77/0.95 apply (zenon_L37_); trivial. % 0.77/0.95 apply (zenon_L115_); trivial. % 0.77/0.95 apply (zenon_L91_); trivial. % 0.77/0.95 (* end of lemma zenon_L116_ *) % 0.77/0.95 assert (zenon_L117_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp0)\/(hskp11))) -> (~(hskp11)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> (~(hskp18)) -> (~(hskp20)) -> ((hskp18)\/((hskp20)\/(hskp23))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H71 zenon_H49 zenon_H15b zenon_H87 zenon_H34 zenon_H1e zenon_H1b zenon_H2a zenon_H2f zenon_H33 zenon_H1 zenon_H3 zenon_H7. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.77/0.95 apply (zenon_L4_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_Ha. zenon_intro zenon_H6e. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_Hf. zenon_intro zenon_H6f. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H2c | zenon_intro zenon_H44 ]. % 0.77/0.95 apply (zenon_L14_); trivial. % 0.77/0.95 apply (zenon_L95_); trivial. % 0.77/0.95 (* end of lemma zenon_L117_ *) % 0.77/0.95 assert (zenon_L118_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> (~(hskp13)) -> (~(hskp2)) -> ((hskp18)\/((hskp20)\/(hskp23))) -> (~(hskp18)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (~(hskp19)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> (~(hskp11)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp0)\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H8f zenon_H79 zenon_H76 zenon_H6a zenon_H7 zenon_H1 zenon_H33 zenon_H2f zenon_H2a zenon_H1b zenon_H1e zenon_H34 zenon_H87 zenon_H15b zenon_H49 zenon_H71. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.77/0.95 apply (zenon_L117_); trivial. % 0.77/0.95 apply (zenon_L32_); trivial. % 0.77/0.95 (* end of lemma zenon_L118_ *) % 0.77/0.95 assert (zenon_L119_ : (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39)))))) -> (ndr1_0) -> (~(c1_1 (a410))) -> (~(c3_1 (a410))) -> (c0_1 (a410)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H114 zenon_Ha zenon_H1a0 zenon_H1a1 zenon_H1a2. % 0.77/0.95 generalize (zenon_H114 (a410)). zenon_intro zenon_H1a3. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H1a3); [ zenon_intro zenon_H9 | zenon_intro zenon_H1a4 ]. % 0.77/0.95 exact (zenon_H9 zenon_Ha). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1a5 ]. % 0.77/0.95 exact (zenon_H1a0 zenon_H1a6). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1a7 ]. % 0.77/0.95 exact (zenon_H1a1 zenon_H1a8). % 0.77/0.95 exact (zenon_H1a7 zenon_H1a2). % 0.77/0.95 (* end of lemma zenon_L119_ *) % 0.77/0.95 assert (zenon_L120_ : ((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((hskp8)\/(hskp9))) -> (~(c1_1 (a410))) -> (~(c3_1 (a410))) -> (c0_1 (a410)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((forall X73 : zenon_U, ((ndr1_0)->((~(c1_1 X73))\/((~(c2_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> (~(hskp8)) -> (~(hskp9)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H11f zenon_H64 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1a9 zenon_H60 zenon_H62. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Ha. zenon_intro zenon_H121. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Hd5. zenon_intro zenon_H122. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_Hd6. zenon_intro zenon_Hd4. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H51 | zenon_intro zenon_H65 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H114 | zenon_intro zenon_H1aa ]. % 0.77/0.95 apply (zenon_L119_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H1ab | zenon_intro zenon_H63 ]. % 0.77/0.95 generalize (zenon_H1ab (a445)). zenon_intro zenon_H1ac. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H1ac); [ zenon_intro zenon_H9 | zenon_intro zenon_H1ad ]. % 0.77/0.95 exact (zenon_H9 zenon_Ha). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_Hdc | zenon_intro zenon_H1ae ]. % 0.77/0.95 exact (zenon_Hdc zenon_Hd5). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H1af | zenon_intro zenon_Hdb ]. % 0.77/0.95 generalize (zenon_H51 (a445)). zenon_intro zenon_H1b0. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H1b0); [ zenon_intro zenon_H9 | zenon_intro zenon_H1b1 ]. % 0.77/0.95 exact (zenon_H9 zenon_Ha). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_Hda | zenon_intro zenon_H1b2 ]. % 0.77/0.95 exact (zenon_Hd4 zenon_Hda). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1b3 | zenon_intro zenon_Hdc ]. % 0.77/0.95 exact (zenon_H1af zenon_H1b3). % 0.77/0.95 exact (zenon_Hdc zenon_Hd5). % 0.77/0.95 exact (zenon_Hdb zenon_Hd6). % 0.77/0.95 exact (zenon_H62 zenon_H63). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H61 | zenon_intro zenon_H63 ]. % 0.77/0.95 exact (zenon_H60 zenon_H61). % 0.77/0.95 exact (zenon_H62 zenon_H63). % 0.77/0.95 (* end of lemma zenon_L120_ *) % 0.77/0.95 assert (zenon_L121_ : ((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427)))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp1))) -> (c0_1 (a410)) -> (~(c3_1 (a410))) -> (~(c1_1 (a410))) -> (~(hskp1)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H18f zenon_H185 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_Hc7. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Ha. zenon_intro zenon_H190. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_He1. zenon_intro zenon_H191. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_He2. zenon_intro zenon_He0. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hdf | zenon_intro zenon_H186 ]. % 0.77/0.95 apply (zenon_L61_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H114 | zenon_intro zenon_Hc8 ]. % 0.77/0.95 apply (zenon_L119_); trivial. % 0.77/0.95 exact (zenon_Hc7 zenon_Hc8). % 0.77/0.95 (* end of lemma zenon_L121_ *) % 0.77/0.95 assert (zenon_L122_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a440))/\((~(c2_1 (a440)))/\(~(c3_1 (a440))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((hskp2)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp20))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp0)\/(hskp11))) -> (~(hskp0)) -> (~(c0_1 (a416))) -> (c3_1 (a416)) -> (~(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> ((hskp18)\/((hskp20)\/(hskp23))) -> (~(hskp2)) -> (~(hskp13)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H8e zenon_H89 zenon_H71 zenon_H33 zenon_H1b4 zenon_H15b zenon_H1e zenon_H136 zenon_H138 zenon_H87 zenon_H15c zenon_H34 zenon_H7 zenon_H6a zenon_H76 zenon_H79 zenon_H8f. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H1 | zenon_intro zenon_H8b ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.77/0.95 apply (zenon_L4_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_Ha. zenon_intro zenon_H6e. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_Hf. zenon_intro zenon_H6f. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H1c | zenon_intro zenon_H2e ]. % 0.77/0.95 apply (zenon_L94_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_Ha. zenon_intro zenon_H30. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H21. zenon_intro zenon_H31. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H22. zenon_intro zenon_H23. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H36 | zenon_intro zenon_H15d ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H15e ]. % 0.77/0.95 apply (zenon_L92_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hb | zenon_intro zenon_H88 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H66 | zenon_intro zenon_H1b5 ]. % 0.77/0.95 apply (zenon_L26_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H4 ]. % 0.77/0.95 apply (zenon_L64_); trivial. % 0.77/0.95 exact (zenon_H3 zenon_H4). % 0.77/0.95 exact (zenon_H87 zenon_H88). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H1f | zenon_intro zenon_H88 ]. % 0.77/0.95 exact (zenon_H1e zenon_H1f). % 0.77/0.95 exact (zenon_H87 zenon_H88). % 0.77/0.95 apply (zenon_L32_); trivial. % 0.77/0.95 apply (zenon_L36_); trivial. % 0.77/0.95 (* end of lemma zenon_L122_ *) % 0.77/0.95 assert (zenon_L123_ : ((ndr1_0)/\((c3_1 (a416))/\((~(c0_1 (a416)))/\(~(c1_1 (a416)))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a420)))/\((~(c1_1 (a420)))/\(~(c2_1 (a420))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a440))/\((~(c2_1 (a440)))/\(~(c3_1 (a440))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((hskp2)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp20))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp0)\/(hskp11))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> ((hskp18)\/((hskp20)\/(hskp23))) -> (~(hskp2)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> (~(c1_1 (a410))) -> (~(c3_1 (a410))) -> (c0_1 (a410)) -> (~(hskp1)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp1))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1b6 zenon_H18d zenon_H12d zenon_H8e zenon_H89 zenon_H71 zenon_H33 zenon_H1b4 zenon_H15b zenon_H1e zenon_H15c zenon_H34 zenon_H7 zenon_H6a zenon_H79 zenon_H8f zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_Hc7 zenon_H185 zenon_H18b. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_Ha. zenon_intro zenon_H1b7. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H138. zenon_intro zenon_H1b8. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H76 | zenon_intro zenon_H18f ]. % 0.77/0.95 apply (zenon_L122_); trivial. % 0.77/0.95 apply (zenon_L121_); trivial. % 0.77/0.95 apply (zenon_L91_); trivial. % 0.77/0.95 (* end of lemma zenon_L123_ *) % 0.77/0.95 assert (zenon_L124_ : (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(c1_1 (a415))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H10a zenon_Ha zenon_H197 zenon_Ha7 zenon_H198 zenon_H199. % 0.77/0.95 generalize (zenon_H10a (a415)). zenon_intro zenon_H1b9. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H1b9); [ zenon_intro zenon_H9 | zenon_intro zenon_H1ba ]. % 0.77/0.95 exact (zenon_H9 zenon_Ha). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19d | zenon_intro zenon_H1bb ]. % 0.77/0.95 exact (zenon_H197 zenon_H19d). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1bc | zenon_intro zenon_H19e ]. % 0.77/0.95 generalize (zenon_Ha7 (a415)). zenon_intro zenon_H1bd. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H1bd); [ zenon_intro zenon_H9 | zenon_intro zenon_H1be ]. % 0.77/0.95 exact (zenon_H9 zenon_Ha). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1bf ]. % 0.77/0.95 exact (zenon_H1bc zenon_H1c0). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H19d | zenon_intro zenon_H19f ]. % 0.77/0.95 exact (zenon_H197 zenon_H19d). % 0.77/0.95 exact (zenon_H19f zenon_H198). % 0.77/0.95 exact (zenon_H19e zenon_H199). % 0.77/0.95 (* end of lemma zenon_L124_ *) % 0.77/0.95 assert (zenon_L125_ : ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> (~(c1_1 (a415))) -> (c3_1 (a445)) -> (c1_1 (a445)) -> (~(c0_1 (a445))) -> (ndr1_0) -> False). % 0.77/0.95 do 0 intro. intros zenon_H118 zenon_H199 zenon_H198 zenon_Ha7 zenon_H197 zenon_Hd6 zenon_Hd5 zenon_Hd4 zenon_Ha. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H10a ]. % 0.77/0.95 apply (zenon_L59_); trivial. % 0.77/0.95 apply (zenon_L124_); trivial. % 0.77/0.95 (* end of lemma zenon_L125_ *) % 0.77/0.95 assert (zenon_L126_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp26)\/(hskp5))) -> (ndr1_0) -> (~(c0_1 (a445))) -> (c1_1 (a445)) -> (c3_1 (a445)) -> (~(c1_1 (a415))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(hskp26)) -> (~(hskp5)) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hb3 zenon_Ha zenon_Hd4 zenon_Hd5 zenon_Hd6 zenon_H197 zenon_H198 zenon_H199 zenon_H118 zenon_Hb1 zenon_H40. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hb4 ]. % 0.77/0.95 apply (zenon_L125_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H41 ]. % 0.77/0.95 exact (zenon_Hb1 zenon_Hb2). % 0.77/0.95 exact (zenon_H40 zenon_H41). % 0.77/0.95 (* end of lemma zenon_L126_ *) % 0.77/0.95 assert (zenon_L127_ : ((ndr1_0)/\((c1_1 (a407))/\((c2_1 (a407))/\(c3_1 (a407))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((forall X73 : zenon_U, ((ndr1_0)->((~(c1_1 X73))\/((~(c2_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> (c0_1 (a410)) -> (~(c3_1 (a410))) -> (~(c1_1 (a410))) -> (~(hskp9)) -> False). % 0.77/0.95 do 0 intro. intros zenon_Hc9 zenon_H1a9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H62. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 0.77/0.95 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H114 | zenon_intro zenon_H1aa ]. % 0.77/0.95 apply (zenon_L119_); trivial. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H1ab | zenon_intro zenon_H63 ]. % 0.77/0.95 generalize (zenon_H1ab (a407)). zenon_intro zenon_H1c1. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H1c1); [ zenon_intro zenon_H9 | zenon_intro zenon_H1c2 ]. % 0.77/0.95 exact (zenon_H9 zenon_Ha). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc2 ]. % 0.77/0.95 exact (zenon_Hc6 zenon_Hbb). % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hc4 ]. % 0.77/0.95 exact (zenon_Hc5 zenon_Hb9). % 0.77/0.95 exact (zenon_Hc4 zenon_Hba). % 0.77/0.95 exact (zenon_H62 zenon_H63). % 0.77/0.95 (* end of lemma zenon_L127_ *) % 0.77/0.95 assert (zenon_L128_ : ((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a407))/\((c2_1 (a407))/\(c3_1 (a407)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((forall X73 : zenon_U, ((ndr1_0)->((~(c1_1 X73))\/((~(c2_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a410)) -> (~(c3_1 (a410))) -> (~(c1_1 (a410))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (~(c1_1 (a415))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp26)\/(hskp5))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H11f zenon_Hce zenon_H1a9 zenon_H62 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H118 zenon_H199 zenon_H198 zenon_H197 zenon_H40 zenon_Hb3. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Ha. zenon_intro zenon_H121. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Hd5. zenon_intro zenon_H122. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_Hd6. zenon_intro zenon_Hd4. % 0.77/0.95 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hc9 ]. % 0.77/0.95 apply (zenon_L126_); trivial. % 0.77/0.95 apply (zenon_L127_); trivial. % 0.77/0.95 (* end of lemma zenon_L128_ *) % 0.77/0.95 assert (zenon_L129_ : ((~(hskp8))\/((ndr1_0)/\((c2_1 (a415))/\((c3_1 (a415))/\(~(c1_1 (a415))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a430))/\((c2_1 (a430))/\(~(c3_1 (a430))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(hskp6)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((hskp15)\/(hskp6))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a407))/\((c2_1 (a407))/\(c3_1 (a407)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp26)\/(hskp5))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a420)))/\((~(c1_1 (a420)))/\(~(c2_1 (a420))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a440))/\((~(c2_1 (a440)))/\(~(c3_1 (a440))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((hskp2)\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> (~(hskp2)) -> ((hskp18)\/((hskp20)\/(hskp23))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp0)\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((forall X73 : zenon_U, ((ndr1_0)->((~(c1_1 X73))\/((~(c2_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> (c0_1 (a410)) -> (~(c3_1 (a410))) -> (~(c1_1 (a410))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((hskp8)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> (~(hskp1)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp1))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp20))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a416))/\((~(c0_1 (a416)))/\(~(c1_1 (a416))))))) -> False). % 0.77/0.95 do 0 intro. intros zenon_H1c3 zenon_H18c zenon_H105 zenon_H131 zenon_H133 zenon_Hce zenon_H118 zenon_H40 zenon_Hb3 zenon_H18d zenon_H12d zenon_H8e zenon_H89 zenon_H8f zenon_H79 zenon_H6a zenon_H7 zenon_H33 zenon_H2f zenon_H1b zenon_H1e zenon_H34 zenon_H15b zenon_H49 zenon_H71 zenon_H1a9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H64 zenon_H18a zenon_Hc7 zenon_H185 zenon_H18b zenon_H15c zenon_H1b4 zenon_H1c4. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H60 | zenon_intro zenon_H1c5 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H76 | zenon_intro zenon_H18f ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H1 | zenon_intro zenon_H8b ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.77/0.95 apply (zenon_L118_); trivial. % 0.77/0.95 apply (zenon_L120_); trivial. % 0.77/0.95 apply (zenon_L36_); trivial. % 0.77/0.95 apply (zenon_L121_); trivial. % 0.77/0.95 apply (zenon_L91_); trivial. % 0.77/0.95 apply (zenon_L123_); trivial. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c6. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H198. zenon_intro zenon_H1c7. % 0.77/0.95 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H199. zenon_intro zenon_H197. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H76 | zenon_intro zenon_H18f ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H1 | zenon_intro zenon_H8b ]. % 0.77/0.95 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.77/0.95 apply (zenon_L118_); trivial. % 0.77/0.95 apply (zenon_L128_); trivial. % 0.77/0.95 apply (zenon_L36_); trivial. % 0.77/0.95 apply (zenon_L115_); trivial. % 0.77/0.95 apply (zenon_L91_); trivial. % 0.77/0.95 apply (zenon_L123_); trivial. % 0.77/0.95 (* end of lemma zenon_L129_ *) % 0.77/0.95 assert (zenon_L130_ : (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17)))))) -> (ndr1_0) -> (~(c0_1 (a409))) -> (~(c3_1 (a409))) -> (c2_1 (a409)) -> False). % 0.77/0.95 do 0 intro. intros zenon_H90 zenon_Ha zenon_H1c8 zenon_H1c9 zenon_H1ca. % 0.77/0.95 generalize (zenon_H90 (a409)). zenon_intro zenon_H1cb. % 0.77/0.95 apply (zenon_imply_s _ _ zenon_H1cb); [ zenon_intro zenon_H9 | zenon_intro zenon_H1cc ]. % 0.77/0.95 exact (zenon_H9 zenon_Ha). % 0.77/0.95 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1cd ]. % 0.77/0.96 exact (zenon_H1c8 zenon_H1ce). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1cf ]. % 0.77/0.96 exact (zenon_H1c9 zenon_H1d0). % 0.77/0.96 exact (zenon_H1cf zenon_H1ca). % 0.77/0.96 (* end of lemma zenon_L130_ *) % 0.77/0.96 assert (zenon_L131_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a407))/\((c2_1 (a407))/\(c3_1 (a407)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp19)) -> (~(hskp24)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (c2_1 (a409)) -> (~(c3_1 (a409))) -> (~(c0_1 (a409))) -> (ndr1_0) -> (~(c0_1 (a428))) -> (~(c1_1 (a428))) -> (c2_1 (a428)) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp26)\/(hskp5))) -> False). % 0.77/0.96 do 0 intro. intros zenon_Hce zenon_Hca zenon_Hc7 zenon_H2a zenon_H2c zenon_H2f zenon_H1ca zenon_H1c9 zenon_H1c8 zenon_Ha zenon_Ha8 zenon_Ha9 zenon_Haa zenon_H40 zenon_Hb3. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hc9 ]. % 0.77/0.96 apply (zenon_L50_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H90 | zenon_intro zenon_Hcd ]. % 0.77/0.96 apply (zenon_L130_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hc8 ]. % 0.77/0.96 apply (zenon_L53_); trivial. % 0.77/0.96 exact (zenon_Hc7 zenon_Hc8). % 0.77/0.96 (* end of lemma zenon_L131_ *) % 0.77/0.96 assert (zenon_L132_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp26)\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a428)) -> (~(c1_1 (a428))) -> (~(c0_1 (a428))) -> (ndr1_0) -> (~(c0_1 (a409))) -> (~(c3_1 (a409))) -> (c2_1 (a409)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (~(hskp19)) -> (~(hskp1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp1))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a407))/\((c2_1 (a407))/\(c3_1 (a407)))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H49 zenon_Hd1 zenon_Hcf zenon_Hb3 zenon_H40 zenon_Haa zenon_Ha9 zenon_Ha8 zenon_Ha zenon_H1c8 zenon_H1c9 zenon_H1ca zenon_H2f zenon_H2a zenon_Hc7 zenon_Hca zenon_Hce. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H2c | zenon_intro zenon_H44 ]. % 0.77/0.96 apply (zenon_L131_); trivial. % 0.77/0.96 apply (zenon_L58_); trivial. % 0.77/0.96 (* end of lemma zenon_L132_ *) % 0.77/0.96 assert (zenon_L133_ : ((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp9))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a427))) -> (c1_1 (a427)) -> (c2_1 (a427)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a407))/\((c2_1 (a407))/\(c3_1 (a407)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (c2_1 (a409)) -> (~(c3_1 (a409))) -> (~(c0_1 (a409))) -> (~(c0_1 (a428))) -> (~(c1_1 (a428))) -> (c2_1 (a428)) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp26)\/(hskp5))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_Ha3 zenon_H18a zenon_H120 zenon_H11a zenon_H118 zenon_Hdd zenon_H62 zenon_He0 zenon_He1 zenon_He2 zenon_H100 zenon_H87 zenon_Hfe zenon_H105 zenon_H33 zenon_Hce zenon_Hca zenon_Hc7 zenon_H2f zenon_H1ca zenon_H1c9 zenon_H1c8 zenon_Ha8 zenon_Ha9 zenon_Haa zenon_H40 zenon_Hb3 zenon_Hcf zenon_Hd1 zenon_H49. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_Ha. zenon_intro zenon_Ha4. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H9a. zenon_intro zenon_Ha5. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H91. zenon_intro zenon_H92. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.77/0.96 apply (zenon_L132_); trivial. % 0.77/0.96 apply (zenon_L76_); trivial. % 0.77/0.96 (* end of lemma zenon_L133_ *) % 0.77/0.96 assert (zenon_L134_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V)))))) -> (ndr1_0) -> (~(c0_1 (a416))) -> (forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))) -> (~(c1_1 (a416))) -> (c3_1 (a416)) -> False). % 0.77/0.96 do 0 intro. intros zenon_Hb8 zenon_Ha zenon_H136 zenon_H168 zenon_H137 zenon_H138. % 0.77/0.96 generalize (zenon_Hb8 (a416)). zenon_intro zenon_H159. % 0.77/0.96 apply (zenon_imply_s _ _ zenon_H159); [ zenon_intro zenon_H9 | zenon_intro zenon_H15a ]. % 0.77/0.96 exact (zenon_H9 zenon_Ha). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H13c | zenon_intro zenon_H148 ]. % 0.77/0.96 exact (zenon_H136 zenon_H13c). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H141 | zenon_intro zenon_H13d ]. % 0.77/0.96 generalize (zenon_H168 (a416)). zenon_intro zenon_H169. % 0.77/0.96 apply (zenon_imply_s _ _ zenon_H169); [ zenon_intro zenon_H9 | zenon_intro zenon_H16a ]. % 0.77/0.96 exact (zenon_H9 zenon_Ha). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H13e | zenon_intro zenon_H144 ]. % 0.77/0.96 exact (zenon_H137 zenon_H13e). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H145 | zenon_intro zenon_H13d ]. % 0.77/0.96 exact (zenon_H141 zenon_H145). % 0.77/0.96 exact (zenon_H13d zenon_H138). % 0.77/0.96 exact (zenon_H13d zenon_H138). % 0.77/0.96 (* end of lemma zenon_L134_ *) % 0.77/0.96 assert (zenon_L135_ : ((ndr1_0)/\((c3_1 (a416))/\((~(c0_1 (a416)))/\(~(c1_1 (a416)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp1))) -> (c2_1 (a409)) -> (~(c3_1 (a409))) -> (~(c0_1 (a409))) -> (~(hskp1)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H1b6 zenon_H187 zenon_Hca zenon_H1ca zenon_H1c9 zenon_H1c8 zenon_Hc7. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_Ha. zenon_intro zenon_H1b7. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H138. zenon_intro zenon_H1b8. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H135 | zenon_intro zenon_H188 ]. % 0.77/0.96 apply (zenon_L82_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H90 | zenon_intro zenon_H168 ]. % 0.77/0.96 apply (zenon_L130_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H90 | zenon_intro zenon_Hcd ]. % 0.77/0.96 apply (zenon_L130_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hc8 ]. % 0.77/0.96 apply (zenon_L134_); trivial. % 0.77/0.96 exact (zenon_Hc7 zenon_Hc8). % 0.77/0.96 (* end of lemma zenon_L135_ *) % 0.77/0.96 assert (zenon_L136_ : ((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (c2_1 (a409)) -> (~(c3_1 (a409))) -> (~(c0_1 (a409))) -> (~(hskp14)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H78 zenon_Ha1 zenon_H1ca zenon_H1c9 zenon_H1c8 zenon_H9f. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H7a. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H50. zenon_intro zenon_H7b. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H4f. zenon_intro zenon_H52. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H90 | zenon_intro zenon_Ha2 ]. % 0.77/0.96 apply (zenon_L130_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H72 | zenon_intro zenon_Ha0 ]. % 0.77/0.96 apply (zenon_L30_); trivial. % 0.77/0.96 exact (zenon_H9f zenon_Ha0). % 0.77/0.96 (* end of lemma zenon_L136_ *) % 0.77/0.96 assert (zenon_L137_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a440))/\((~(c2_1 (a440)))/\(~(c3_1 (a440))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((hskp2)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((hskp18)\/((hskp20)\/(hskp23))) -> (~(c0_1 (a409))) -> (~(c3_1 (a409))) -> (c2_1 (a409)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H8e zenon_H89 zenon_H87 zenon_H71 zenon_H6d zenon_H4a zenon_H6a zenon_H7 zenon_H1c8 zenon_H1c9 zenon_H1ca zenon_H9f zenon_Ha1 zenon_H8f. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H1 | zenon_intro zenon_H8b ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.77/0.96 apply (zenon_L29_); trivial. % 0.77/0.96 apply (zenon_L136_); trivial. % 0.77/0.96 apply (zenon_L36_); trivial. % 0.77/0.96 (* end of lemma zenon_L137_ *) % 0.77/0.96 assert (zenon_L138_ : ((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a427)) -> (c1_1 (a427)) -> (~(c0_1 (a427))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (~(c1_1 (a415))) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(hskp22)) -> (~(hskp11)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H2e zenon_H105 zenon_He2 zenon_He1 zenon_He0 zenon_H199 zenon_H198 zenon_H197 zenon_Hfe zenon_Hfc zenon_H87. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_Ha. zenon_intro zenon_H30. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H21. zenon_intro zenon_H31. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H22. zenon_intro zenon_H23. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdf | zenon_intro zenon_H106 ]. % 0.77/0.96 apply (zenon_L61_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hea | zenon_intro zenon_H101 ]. % 0.77/0.96 apply (zenon_L113_); trivial. % 0.77/0.96 apply (zenon_L69_); trivial. % 0.77/0.96 (* end of lemma zenon_L138_ *) % 0.77/0.96 assert (zenon_L139_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(hskp22)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (~(c1_1 (a415))) -> (c2_1 (a427)) -> (c1_1 (a427)) -> (~(c0_1 (a427))) -> (ndr1_0) -> (~(c0_1 (a445))) -> (c1_1 (a445)) -> (c3_1 (a445)) -> (~(hskp9)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H33 zenon_H105 zenon_Hfc zenon_H87 zenon_Hfe zenon_H199 zenon_H198 zenon_H197 zenon_He2 zenon_He1 zenon_He0 zenon_Ha zenon_Hd4 zenon_Hd5 zenon_Hd6 zenon_H62 zenon_Hdd. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H1c | zenon_intro zenon_H2e ]. % 0.77/0.96 apply (zenon_L60_); trivial. % 0.77/0.96 apply (zenon_L138_); trivial. % 0.77/0.96 (* end of lemma zenon_L139_ *) % 0.77/0.96 assert (zenon_L140_ : ((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a427))) -> (c1_1 (a427)) -> (c2_1 (a427)) -> (~(c1_1 (a415))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H11f zenon_H120 zenon_H185 zenon_Hc7 zenon_H118 zenon_Hdd zenon_H62 zenon_He0 zenon_He1 zenon_He2 zenon_H197 zenon_H198 zenon_H199 zenon_Hfe zenon_H87 zenon_H105 zenon_H33. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Ha. zenon_intro zenon_H121. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Hd5. zenon_intro zenon_H122. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_Hd6. zenon_intro zenon_Hd4. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.77/0.96 apply (zenon_L139_); trivial. % 0.77/0.96 apply (zenon_L109_); trivial. % 0.77/0.96 (* end of lemma zenon_L140_ *) % 0.77/0.96 assert (zenon_L141_ : ((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp13))) -> (c2_1 (a409)) -> (~(c3_1 (a409))) -> (~(c0_1 (a409))) -> (~(hskp13)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H6c zenon_H1d1 zenon_H1ca zenon_H1c9 zenon_H1c8 zenon_H76. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_Ha. zenon_intro zenon_H6e. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_Hf. zenon_intro zenon_H6f. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H90 | zenon_intro zenon_H1d2 ]. % 0.77/0.96 apply (zenon_L130_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H66 | zenon_intro zenon_H77 ]. % 0.77/0.96 apply (zenon_L26_); trivial. % 0.77/0.96 exact (zenon_H76 zenon_H77). % 0.77/0.96 (* end of lemma zenon_L141_ *) % 0.77/0.96 assert (zenon_L142_ : ((ndr1_0)/\((c2_1 (a428))/\((~(c0_1 (a428)))/\(~(c1_1 (a428)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a407))/\((c2_1 (a407))/\(c3_1 (a407)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((forall X73 : zenon_U, ((ndr1_0)->((~(c1_1 X73))\/((~(c2_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a410)) -> (~(c3_1 (a410))) -> (~(c1_1 (a410))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp26)\/(hskp5))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H1d3 zenon_Hce zenon_H1a9 zenon_H62 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H40 zenon_Hb3. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_Ha. zenon_intro zenon_H1d4. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_Haa. zenon_intro zenon_H1d5. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_Ha8. zenon_intro zenon_Ha9. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hc9 ]. % 0.77/0.96 apply (zenon_L50_); trivial. % 0.77/0.96 apply (zenon_L127_); trivial. % 0.77/0.96 (* end of lemma zenon_L142_ *) % 0.77/0.96 assert (zenon_L143_ : ((ndr1_0)/\((c0_1 (a410))/\((~(c1_1 (a410)))/\(~(c3_1 (a410)))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a416))/\((~(c0_1 (a416)))/\(~(c1_1 (a416))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp1))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a440))/\((~(c2_1 (a440)))/\(~(c3_1 (a440))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((hskp2)\/(hskp11))) -> (~(hskp2)) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp13))) -> (c2_1 (a409)) -> (~(c3_1 (a409))) -> (~(c0_1 (a409))) -> ((hskp18)\/((hskp20)\/(hskp23))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp26)\/(hskp5))) -> (~(hskp5)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((forall X73 : zenon_U, ((ndr1_0)->((~(c1_1 X73))\/((~(c2_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a407))/\((c2_1 (a407))/\(c3_1 (a407)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a428))/\((~(c0_1 (a428)))/\(~(c1_1 (a428))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a420)))/\((~(c1_1 (a420)))/\(~(c2_1 (a420))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H1d6 zenon_H1c4 zenon_H187 zenon_Hca zenon_H18b zenon_H185 zenon_Hc7 zenon_H8e zenon_H89 zenon_H6a zenon_H71 zenon_H1d1 zenon_H1ca zenon_H1c9 zenon_H1c8 zenon_H7 zenon_Ha1 zenon_H8f zenon_Hb3 zenon_H40 zenon_H1a9 zenon_Hce zenon_H1d7 zenon_H12d zenon_H18d. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_Ha. zenon_intro zenon_H1d8. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1a2. zenon_intro zenon_H1d9. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1a0. zenon_intro zenon_H1a1. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H76 | zenon_intro zenon_H18f ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H9f | zenon_intro zenon_H1d3 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H1 | zenon_intro zenon_H8b ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.77/0.96 apply (zenon_L4_); trivial. % 0.77/0.96 apply (zenon_L141_); trivial. % 0.77/0.96 apply (zenon_L136_); trivial. % 0.77/0.96 apply (zenon_L36_); trivial. % 0.77/0.96 apply (zenon_L142_); trivial. % 0.77/0.96 apply (zenon_L121_); trivial. % 0.77/0.96 apply (zenon_L91_); trivial. % 0.77/0.96 apply (zenon_L135_); trivial. % 0.77/0.96 (* end of lemma zenon_L143_ *) % 0.77/0.96 assert (zenon_L144_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V)))))) -> (ndr1_0) -> (~(c0_1 (a408))) -> (c2_1 (a408)) -> (c3_1 (a408)) -> False). % 0.77/0.96 do 0 intro. intros zenon_Hb8 zenon_Ha zenon_H1da zenon_H1db zenon_H1dc. % 0.77/0.96 generalize (zenon_Hb8 (a408)). zenon_intro zenon_H1dd. % 0.77/0.96 apply (zenon_imply_s _ _ zenon_H1dd); [ zenon_intro zenon_H9 | zenon_intro zenon_H1de ]. % 0.77/0.96 exact (zenon_H9 zenon_Ha). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1de); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H1df ]. % 0.77/0.96 exact (zenon_H1da zenon_H1e0). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e1 ]. % 0.77/0.96 exact (zenon_H1e2 zenon_H1db). % 0.77/0.96 exact (zenon_H1e1 zenon_H1dc). % 0.77/0.96 (* end of lemma zenon_L144_ *) % 0.77/0.96 assert (zenon_L145_ : ((ndr1_0)/\((~(c0_1 (a420)))/\((~(c1_1 (a420)))/\(~(c2_1 (a420)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp0))) -> (c3_1 (a408)) -> (c2_1 (a408)) -> (~(c0_1 (a408))) -> (~(hskp0)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H156 zenon_H1e3 zenon_H1dc zenon_H1db zenon_H1da zenon_H1e. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H124. zenon_intro zenon_H158. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H125. zenon_intro zenon_H126. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H123 | zenon_intro zenon_H1e4 ]. % 0.77/0.96 apply (zenon_L77_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H1f ]. % 0.77/0.96 apply (zenon_L144_); trivial. % 0.77/0.96 exact (zenon_H1e zenon_H1f). % 0.77/0.96 (* end of lemma zenon_L145_ *) % 0.77/0.96 assert (zenon_L146_ : ((ndr1_0)/\((c3_1 (a416))/\((~(c0_1 (a416)))/\(~(c1_1 (a416)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a418))/\((~(c0_1 (a418)))/\(~(c2_1 (a418))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))))) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/(hskp4))) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp0)\/(hskp11))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a430))/\((c2_1 (a430))/\(~(c3_1 (a430))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp7))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp6)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((hskp15)\/(hskp6))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> ((hskp18)\/((hskp20)\/(hskp23))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((hskp2)\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a440))/\((~(c2_1 (a440)))/\(~(c3_1 (a440))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a420)))/\((~(c1_1 (a420)))/\(~(c2_1 (a420))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H1b6 zenon_H189 zenon_H120 zenon_H183 zenon_Hcf zenon_H181 zenon_H4e zenon_H16d zenon_Hfe zenon_H17b zenon_H33 zenon_H2f zenon_H15b zenon_H1e zenon_H15c zenon_H34 zenon_H49 zenon_H118 zenon_H185 zenon_H18a zenon_H187 zenon_Ha6 zenon_H18b zenon_H18c zenon_H13f zenon_H105 zenon_H154 zenon_H131 zenon_H133 zenon_H8f zenon_H79 zenon_H7 zenon_H6a zenon_H4a zenon_H6d zenon_H71 zenon_H89 zenon_H8e zenon_Hc7 zenon_H12d zenon_H18d. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_Ha. zenon_intro zenon_H1b7. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H138. zenon_intro zenon_H1b8. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.77/0.96 apply (zenon_L112_); trivial. % 0.77/0.96 (* end of lemma zenon_L146_ *) % 0.77/0.96 assert (zenon_L147_ : ((ndr1_0)/\((c2_1 (a415))/\((c3_1 (a415))/\(~(c1_1 (a415)))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a420)))/\((~(c1_1 (a420)))/\(~(c2_1 (a420))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp1)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a440))/\((~(c2_1 (a440)))/\(~(c3_1 (a440))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((hskp2)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((hskp18)\/((hskp20)\/(hskp23))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((hskp15)\/(hskp6))) -> (~(hskp6)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a430))/\((c2_1 (a430))/\(~(c3_1 (a430))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H1c5 zenon_H18d zenon_H12d zenon_Hc7 zenon_H8e zenon_H89 zenon_H71 zenon_H6d zenon_H4a zenon_H6a zenon_H7 zenon_H79 zenon_H8f zenon_H133 zenon_H131 zenon_H105 zenon_H18c zenon_H18b. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c6. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H198. zenon_intro zenon_H1c7. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H199. zenon_intro zenon_H197. % 0.77/0.96 apply (zenon_L116_); trivial. % 0.77/0.96 (* end of lemma zenon_L147_ *) % 0.77/0.96 assert (zenon_L148_ : ((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11))) -> (c3_1 (a408)) -> (c2_1 (a408)) -> (~(c0_1 (a408))) -> (~(hskp22)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H2e zenon_H15c zenon_H1dc zenon_H1db zenon_H1da zenon_Hfc zenon_Hfe zenon_H87. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_Ha. zenon_intro zenon_H30. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H21. zenon_intro zenon_H31. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H22. zenon_intro zenon_H23. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H15e ]. % 0.77/0.96 apply (zenon_L144_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hb | zenon_intro zenon_H88 ]. % 0.77/0.96 apply (zenon_L66_); trivial. % 0.77/0.96 exact (zenon_H87 zenon_H88). % 0.77/0.96 (* end of lemma zenon_L148_ *) % 0.77/0.96 assert (zenon_L149_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11))) -> (~(hskp22)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (c3_1 (a408)) -> (c2_1 (a408)) -> (~(c0_1 (a408))) -> (ndr1_0) -> (~(c0_1 (a445))) -> (c1_1 (a445)) -> (c3_1 (a445)) -> (~(hskp9)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H33 zenon_H15c zenon_Hfc zenon_H87 zenon_Hfe zenon_H1dc zenon_H1db zenon_H1da zenon_Ha zenon_Hd4 zenon_Hd5 zenon_Hd6 zenon_H62 zenon_Hdd. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H1c | zenon_intro zenon_H2e ]. % 0.77/0.96 apply (zenon_L60_); trivial. % 0.77/0.96 apply (zenon_L148_); trivial. % 0.77/0.96 (* end of lemma zenon_L149_ *) % 0.77/0.96 assert (zenon_L150_ : (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> (ndr1_0) -> (~(c0_1 (a408))) -> (~(c1_1 (a408))) -> (c2_1 (a408)) -> False). % 0.77/0.96 do 0 intro. intros zenon_Ha7 zenon_Ha zenon_H1da zenon_H1e5 zenon_H1db. % 0.77/0.96 generalize (zenon_Ha7 (a408)). zenon_intro zenon_H1e6. % 0.77/0.96 apply (zenon_imply_s _ _ zenon_H1e6); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e7 ]. % 0.77/0.96 exact (zenon_H9 zenon_Ha). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H1e8 ]. % 0.77/0.96 exact (zenon_H1da zenon_H1e0). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1e8); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H1e2 ]. % 0.77/0.96 exact (zenon_H1e5 zenon_H1e9). % 0.77/0.96 exact (zenon_H1e2 zenon_H1db). % 0.77/0.96 (* end of lemma zenon_L150_ *) % 0.77/0.96 assert (zenon_L151_ : (forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50)))))) -> (ndr1_0) -> (~(c0_1 (a408))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> (c2_1 (a408)) -> False). % 0.77/0.96 do 0 intro. intros zenon_Hdf zenon_Ha zenon_H1da zenon_Ha7 zenon_H1db. % 0.77/0.96 generalize (zenon_Hdf (a408)). zenon_intro zenon_H1ea. % 0.77/0.96 apply (zenon_imply_s _ _ zenon_H1ea); [ zenon_intro zenon_H9 | zenon_intro zenon_H1eb ]. % 0.77/0.96 exact (zenon_H9 zenon_Ha). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H1ec ]. % 0.77/0.96 exact (zenon_H1da zenon_H1e0). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1ec); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H1e2 ]. % 0.77/0.96 apply (zenon_L150_); trivial. % 0.77/0.96 exact (zenon_H1e2 zenon_H1db). % 0.77/0.96 (* end of lemma zenon_L151_ *) % 0.77/0.96 assert (zenon_L152_ : ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp1))) -> (c2_1 (a408)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> (~(c0_1 (a408))) -> (ndr1_0) -> (~(c0_1 (a445))) -> (c1_1 (a445)) -> (c3_1 (a445)) -> (~(c1_1 (a451))) -> (c0_1 (a451)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(hskp1)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H185 zenon_H1db zenon_Ha7 zenon_H1da zenon_Ha zenon_Hd4 zenon_Hd5 zenon_Hd6 zenon_H10b zenon_H10c zenon_H118 zenon_Hc7. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hdf | zenon_intro zenon_H186 ]. % 0.77/0.96 apply (zenon_L151_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H114 | zenon_intro zenon_Hc8 ]. % 0.77/0.96 apply (zenon_L74_); trivial. % 0.77/0.96 exact (zenon_Hc7 zenon_Hc8). % 0.77/0.96 (* end of lemma zenon_L152_ *) % 0.77/0.96 assert (zenon_L153_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11))) -> (c3_1 (a408)) -> (c2_1 (a408)) -> (~(c0_1 (a408))) -> (c1_1 (a460)) -> (~(c2_1 (a460))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7))))) -> (~(c3_1 (a460))) -> (ndr1_0) -> (~(hskp11)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H15c zenon_H1dc zenon_H1db zenon_H1da zenon_Hf zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H87. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H15e ]. % 0.77/0.96 apply (zenon_L144_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hb | zenon_intro zenon_H88 ]. % 0.77/0.96 apply (zenon_L6_); trivial. % 0.77/0.96 exact (zenon_H87 zenon_H88). % 0.77/0.96 (* end of lemma zenon_L153_ *) % 0.77/0.96 assert (zenon_L154_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a440))/\((~(c2_1 (a440)))/\(~(c3_1 (a440))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((hskp2)\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> (~(hskp13)) -> (~(hskp2)) -> ((hskp18)\/((hskp20)\/(hskp23))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> (~(hskp11)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp0)\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(hskp1)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp1))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a408))) -> (c2_1 (a408)) -> (c3_1 (a408)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H8e zenon_H89 zenon_H8f zenon_H79 zenon_H76 zenon_H6a zenon_H7 zenon_H33 zenon_H2f zenon_H1b zenon_H1e zenon_H34 zenon_H87 zenon_H15b zenon_H49 zenon_H71 zenon_H120 zenon_H1ed zenon_H118 zenon_Hc7 zenon_H185 zenon_Hdd zenon_H62 zenon_H1da zenon_H1db zenon_H1dc zenon_Hfe zenon_H15c zenon_H18a. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H1 | zenon_intro zenon_H8b ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.77/0.96 apply (zenon_L118_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Ha. zenon_intro zenon_H121. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Hd5. zenon_intro zenon_H122. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_Hd6. zenon_intro zenon_Hd4. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.77/0.96 apply (zenon_L149_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_Ha. zenon_intro zenon_H11b. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10c. zenon_intro zenon_H11c. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H11d. zenon_intro zenon_H10b. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.77/0.96 apply (zenon_L4_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_Ha. zenon_intro zenon_H6e. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_Hf. zenon_intro zenon_H6f. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1ee ]. % 0.77/0.96 apply (zenon_L152_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_Hd | zenon_intro zenon_H66 ]. % 0.77/0.96 apply (zenon_L153_); trivial. % 0.77/0.96 apply (zenon_L26_); trivial. % 0.77/0.96 apply (zenon_L32_); trivial. % 0.77/0.96 apply (zenon_L36_); trivial. % 0.77/0.96 (* end of lemma zenon_L154_ *) % 0.77/0.96 assert (zenon_L155_ : ((ndr1_0)/\((c0_1 (a410))/\((~(c1_1 (a410)))/\(~(c3_1 (a410)))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a416))/\((~(c0_1 (a416)))/\(~(c1_1 (a416))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp20))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (c3_1 (a408)) -> (c2_1 (a408)) -> (~(c0_1 (a408))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp0)\/(hskp11))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((hskp18)\/((hskp20)\/(hskp23))) -> (~(hskp2)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((hskp2)\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a440))/\((~(c2_1 (a440)))/\(~(c3_1 (a440))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a420)))/\((~(c1_1 (a420)))/\(~(c2_1 (a420))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H1d6 zenon_H1c4 zenon_H1b4 zenon_H18b zenon_H18a zenon_H15c zenon_Hfe zenon_H1dc zenon_H1db zenon_H1da zenon_Hdd zenon_H185 zenon_Hc7 zenon_H118 zenon_H1ed zenon_H120 zenon_H71 zenon_H49 zenon_H15b zenon_H34 zenon_H1e zenon_H1b zenon_H2f zenon_H33 zenon_H7 zenon_H6a zenon_H79 zenon_H8f zenon_H89 zenon_H8e zenon_H12d zenon_H18d. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_Ha. zenon_intro zenon_H1d8. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1a2. zenon_intro zenon_H1d9. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1a0. zenon_intro zenon_H1a1. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H76 | zenon_intro zenon_H18f ]. % 0.77/0.96 apply (zenon_L154_); trivial. % 0.77/0.96 apply (zenon_L121_); trivial. % 0.77/0.96 apply (zenon_L91_); trivial. % 0.77/0.96 apply (zenon_L123_); trivial. % 0.77/0.96 (* end of lemma zenon_L155_ *) % 0.77/0.96 assert (zenon_L156_ : ((ndr1_0)/\((c2_1 (a409))/\((~(c0_1 (a409)))/\(~(c3_1 (a409)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp1))) -> (c3_1 (a408)) -> (c2_1 (a408)) -> (~(c0_1 (a408))) -> (~(hskp1)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H1ef zenon_Hca zenon_H1dc zenon_H1db zenon_H1da zenon_Hc7. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_Ha. zenon_intro zenon_H1f0. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1ca. zenon_intro zenon_H1f1. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1c8. zenon_intro zenon_H1c9. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H90 | zenon_intro zenon_Hcd ]. % 0.77/0.96 apply (zenon_L130_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hc8 ]. % 0.77/0.96 apply (zenon_L144_); trivial. % 0.77/0.96 exact (zenon_Hc7 zenon_Hc8). % 0.77/0.96 (* end of lemma zenon_L156_ *) % 0.77/0.96 assert (zenon_L157_ : (forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91)))))) -> (ndr1_0) -> (~(c2_1 (a404))) -> (c0_1 (a404)) -> (c3_1 (a404)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H54 zenon_Ha zenon_H1f2 zenon_H1f3 zenon_H1f4. % 0.77/0.96 generalize (zenon_H54 (a404)). zenon_intro zenon_H1f5. % 0.77/0.96 apply (zenon_imply_s _ _ zenon_H1f5); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f6 ]. % 0.77/0.96 exact (zenon_H9 zenon_Ha). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H1f7 ]. % 0.77/0.96 exact (zenon_H1f2 zenon_H1f8). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H1fa | zenon_intro zenon_H1f9 ]. % 0.77/0.96 exact (zenon_H1fa zenon_H1f3). % 0.77/0.96 exact (zenon_H1f9 zenon_H1f4). % 0.77/0.96 (* end of lemma zenon_L157_ *) % 0.77/0.96 assert (zenon_L158_ : (~(hskp12)) -> (hskp12) -> False). % 0.77/0.96 do 0 intro. intros zenon_H1fb zenon_H1fc. % 0.77/0.96 exact (zenon_H1fb zenon_H1fc). % 0.77/0.96 (* end of lemma zenon_L158_ *) % 0.77/0.96 assert (zenon_L159_ : ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp12)\/(hskp9))) -> (c3_1 (a404)) -> (c0_1 (a404)) -> (~(c2_1 (a404))) -> (ndr1_0) -> (~(hskp12)) -> (~(hskp9)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H1fd zenon_H1f4 zenon_H1f3 zenon_H1f2 zenon_Ha zenon_H1fb zenon_H62. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H54 | zenon_intro zenon_H1fe ]. % 0.77/0.96 apply (zenon_L157_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1fc | zenon_intro zenon_H63 ]. % 0.77/0.96 exact (zenon_H1fb zenon_H1fc). % 0.77/0.96 exact (zenon_H62 zenon_H63). % 0.77/0.96 (* end of lemma zenon_L159_ *) % 0.77/0.96 assert (zenon_L160_ : ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16))) -> (c3_1 (a404)) -> (c0_1 (a404)) -> (~(c2_1 (a404))) -> (ndr1_0) -> (~(hskp7)) -> (~(hskp16)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H4e zenon_H1f4 zenon_H1f3 zenon_H1f2 zenon_Ha zenon_H4a zenon_H4c. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H54 | zenon_intro zenon_H53 ]. % 0.77/0.96 apply (zenon_L157_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H4b | zenon_intro zenon_H4d ]. % 0.77/0.96 exact (zenon_H4a zenon_H4b). % 0.77/0.96 exact (zenon_H4c zenon_H4d). % 0.77/0.96 (* end of lemma zenon_L160_ *) % 0.77/0.96 assert (zenon_L161_ : (forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63)))))) -> (ndr1_0) -> (~(c2_1 (a426))) -> (c0_1 (a426)) -> (c1_1 (a426)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H1ff zenon_Ha zenon_H200 zenon_H201 zenon_H202. % 0.77/0.96 generalize (zenon_H1ff (a426)). zenon_intro zenon_H203. % 0.77/0.96 apply (zenon_imply_s _ _ zenon_H203); [ zenon_intro zenon_H9 | zenon_intro zenon_H204 ]. % 0.77/0.96 exact (zenon_H9 zenon_Ha). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H206 | zenon_intro zenon_H205 ]. % 0.77/0.96 exact (zenon_H200 zenon_H206). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H208 | zenon_intro zenon_H207 ]. % 0.77/0.96 exact (zenon_H208 zenon_H201). % 0.77/0.96 exact (zenon_H207 zenon_H202). % 0.77/0.96 (* end of lemma zenon_L161_ *) % 0.77/0.96 assert (zenon_L162_ : ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (c1_1 (a426)) -> (c0_1 (a426)) -> (~(c2_1 (a426))) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp23)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H209 zenon_H202 zenon_H201 zenon_H200 zenon_Ha zenon_H1c zenon_H5. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1ff | zenon_intro zenon_H20a ]. % 0.77/0.96 apply (zenon_L161_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1d | zenon_intro zenon_H6 ]. % 0.77/0.96 exact (zenon_H1c zenon_H1d). % 0.77/0.96 exact (zenon_H5 zenon_H6). % 0.77/0.96 (* end of lemma zenon_L162_ *) % 0.77/0.96 assert (zenon_L163_ : ((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412))))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (~(hskp20)) -> (~(hskp22)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H2e zenon_H1b zenon_H3 zenon_Hfc zenon_H87 zenon_Hfe. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_Ha. zenon_intro zenon_H30. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H21. zenon_intro zenon_H31. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H22. zenon_intro zenon_H23. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1b); [ zenon_intro zenon_Hb | zenon_intro zenon_H4 ]. % 0.77/0.96 apply (zenon_L66_); trivial. % 0.77/0.96 exact (zenon_H3 zenon_H4). % 0.77/0.96 (* end of lemma zenon_L163_ *) % 0.77/0.96 assert (zenon_L164_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (~(hskp20)) -> (~(hskp22)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (ndr1_0) -> (~(c2_1 (a426))) -> (c0_1 (a426)) -> (c1_1 (a426)) -> (~(hskp23)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H33 zenon_H1b zenon_H3 zenon_Hfc zenon_H87 zenon_Hfe zenon_Ha zenon_H200 zenon_H201 zenon_H202 zenon_H5 zenon_H209. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H1c | zenon_intro zenon_H2e ]. % 0.77/0.96 apply (zenon_L162_); trivial. % 0.77/0.96 apply (zenon_L163_); trivial. % 0.77/0.96 (* end of lemma zenon_L164_ *) % 0.77/0.96 assert (zenon_L165_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (c1_1 (a426)) -> (c0_1 (a426)) -> (~(c2_1 (a426))) -> (ndr1_0) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(hskp22)) -> (~(hskp20)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H71 zenon_H6d zenon_H4a zenon_H6a zenon_H209 zenon_H202 zenon_H201 zenon_H200 zenon_Ha zenon_Hfe zenon_H87 zenon_Hfc zenon_H3 zenon_H1b zenon_H33. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.77/0.96 apply (zenon_L164_); trivial. % 0.77/0.96 apply (zenon_L28_); trivial. % 0.77/0.96 (* end of lemma zenon_L165_ *) % 0.77/0.96 assert (zenon_L166_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (~(hskp24)) -> (~(hskp19)) -> (ndr1_0) -> (~(c2_1 (a426))) -> (c0_1 (a426)) -> (c1_1 (a426)) -> (~(hskp23)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H33 zenon_H2f zenon_H2c zenon_H2a zenon_Ha zenon_H200 zenon_H201 zenon_H202 zenon_H5 zenon_H209. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H1c | zenon_intro zenon_H2e ]. % 0.77/0.96 apply (zenon_L162_); trivial. % 0.77/0.96 apply (zenon_L13_); trivial. % 0.77/0.96 (* end of lemma zenon_L166_ *) % 0.77/0.96 assert (zenon_L167_ : ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp9))) -> (c1_1 (a434)) -> (~(c3_1 (a434))) -> (~(c0_1 (a434))) -> (ndr1_0) -> (~(c0_1 (a477))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))) -> (c3_1 (a477)) -> (~(c1_1 (a451))) -> (c0_1 (a451)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(hskp9)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H11a zenon_H9a zenon_H92 zenon_H91 zenon_Ha zenon_H37 zenon_H135 zenon_H39 zenon_H10b zenon_H10c zenon_H118 zenon_H62. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H107 | zenon_intro zenon_H11e ]. % 0.77/0.96 apply (zenon_L71_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H114 | zenon_intro zenon_H63 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H10a ]. % 0.77/0.96 generalize (zenon_Hd3 (a477)). zenon_intro zenon_H20b. % 0.77/0.96 apply (zenon_imply_s _ _ zenon_H20b); [ zenon_intro zenon_H9 | zenon_intro zenon_H20c ]. % 0.77/0.96 exact (zenon_H9 zenon_Ha). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H3d | zenon_intro zenon_H20d ]. % 0.77/0.96 exact (zenon_H37 zenon_H3d). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H20e | zenon_intro zenon_H3e ]. % 0.77/0.96 generalize (zenon_H135 (a477)). zenon_intro zenon_H20f. % 0.77/0.96 apply (zenon_imply_s _ _ zenon_H20f); [ zenon_intro zenon_H9 | zenon_intro zenon_H210 ]. % 0.77/0.96 exact (zenon_H9 zenon_Ha). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H3d | zenon_intro zenon_H211 ]. % 0.77/0.96 exact (zenon_H37 zenon_H3d). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H212 | zenon_intro zenon_H3e ]. % 0.77/0.96 exact (zenon_H20e zenon_H212). % 0.77/0.96 exact (zenon_H3e zenon_H39). % 0.77/0.96 exact (zenon_H3e zenon_H39). % 0.77/0.96 apply (zenon_L73_); trivial. % 0.77/0.96 exact (zenon_H62 zenon_H63). % 0.77/0.96 (* end of lemma zenon_L167_ *) % 0.77/0.96 assert (zenon_L168_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp7))) -> (~(hskp9)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c0_1 (a451)) -> (~(c1_1 (a451))) -> (c3_1 (a477)) -> (~(c0_1 (a477))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp9))) -> (c1_1 (a434)) -> (~(c3_1 (a434))) -> (~(c0_1 (a434))) -> (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17)))))) -> (ndr1_0) -> (~(hskp7)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H13f zenon_H62 zenon_H118 zenon_H10c zenon_H10b zenon_H39 zenon_H37 zenon_H11a zenon_H9a zenon_H92 zenon_H91 zenon_H90 zenon_Ha zenon_H4a. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H135 | zenon_intro zenon_H140 ]. % 0.77/0.96 apply (zenon_L167_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H66 | zenon_intro zenon_H4b ]. % 0.77/0.96 apply (zenon_L39_); trivial. % 0.77/0.96 exact (zenon_H4a zenon_H4b). % 0.77/0.96 (* end of lemma zenon_L168_ *) % 0.77/0.96 assert (zenon_L169_ : (forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))) -> (ndr1_0) -> (~(c1_1 (a477))) -> (~(c2_1 (a477))) -> (c3_1 (a477)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H168 zenon_Ha zenon_H20e zenon_H38 zenon_H39. % 0.77/0.96 generalize (zenon_H168 (a477)). zenon_intro zenon_H213. % 0.77/0.96 apply (zenon_imply_s _ _ zenon_H213); [ zenon_intro zenon_H9 | zenon_intro zenon_H214 ]. % 0.77/0.96 exact (zenon_H9 zenon_Ha). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H212 | zenon_intro zenon_H3c ]. % 0.77/0.96 exact (zenon_H20e zenon_H212). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H3f | zenon_intro zenon_H3e ]. % 0.77/0.96 exact (zenon_H38 zenon_H3f). % 0.77/0.96 exact (zenon_H3e zenon_H39). % 0.77/0.96 (* end of lemma zenon_L169_ *) % 0.77/0.96 assert (zenon_L170_ : (forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35)))))) -> (ndr1_0) -> (~(c2_1 (a477))) -> (forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))) -> (c3_1 (a477)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H72 zenon_Ha zenon_H38 zenon_H168 zenon_H39. % 0.77/0.96 generalize (zenon_H72 (a477)). zenon_intro zenon_H215. % 0.77/0.96 apply (zenon_imply_s _ _ zenon_H215); [ zenon_intro zenon_H9 | zenon_intro zenon_H216 ]. % 0.77/0.96 exact (zenon_H9 zenon_Ha). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H3f | zenon_intro zenon_H20d ]. % 0.77/0.96 exact (zenon_H38 zenon_H3f). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H20e | zenon_intro zenon_H3e ]. % 0.77/0.96 apply (zenon_L169_); trivial. % 0.77/0.96 exact (zenon_H3e zenon_H39). % 0.77/0.96 (* end of lemma zenon_L170_ *) % 0.77/0.96 assert (zenon_L171_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(c0_1 (a477))) -> (c3_1 (a477)) -> (forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))) -> (~(c2_1 (a477))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H154 zenon_H37 zenon_H39 zenon_H168 zenon_H38 zenon_Ha zenon_H152. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H36 | zenon_intro zenon_H155 ]. % 0.77/0.96 apply (zenon_L15_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H72 | zenon_intro zenon_H153 ]. % 0.77/0.96 apply (zenon_L170_); trivial. % 0.77/0.96 exact (zenon_H152 zenon_H153). % 0.77/0.96 (* end of lemma zenon_L171_ *) % 0.77/0.96 assert (zenon_L172_ : ((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))))) -> (~(hskp7)) -> (~(c0_1 (a434))) -> (~(c3_1 (a434))) -> (c1_1 (a434)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp9))) -> (~(c1_1 (a451))) -> (c0_1 (a451)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(hskp9)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp7))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H44 zenon_H187 zenon_H4a zenon_H91 zenon_H92 zenon_H9a zenon_H11a zenon_H10b zenon_H10c zenon_H118 zenon_H62 zenon_H13f zenon_H154 zenon_H152. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H46. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H39. zenon_intro zenon_H47. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H135 | zenon_intro zenon_H188 ]. % 0.77/0.96 apply (zenon_L167_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H90 | zenon_intro zenon_H168 ]. % 0.77/0.96 apply (zenon_L168_); trivial. % 0.77/0.96 apply (zenon_L171_); trivial. % 0.77/0.96 (* end of lemma zenon_L172_ *) % 0.77/0.96 assert (zenon_L173_ : ((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (c3_1 (a449)) -> (c1_1 (a449)) -> (~(c2_1 (a449))) -> (~(hskp10)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H44 zenon_H154 zenon_H4f zenon_H50 zenon_H52 zenon_H152. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H46. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H39. zenon_intro zenon_H47. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H36 | zenon_intro zenon_H155 ]. % 0.77/0.96 apply (zenon_L15_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H72 | zenon_intro zenon_H153 ]. % 0.77/0.96 apply (zenon_L30_); trivial. % 0.77/0.96 exact (zenon_H152 zenon_H153). % 0.77/0.96 (* end of lemma zenon_L173_ *) % 0.77/0.96 assert (zenon_L174_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a449)) -> (c1_1 (a449)) -> (~(c2_1 (a449))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (~(hskp23)) -> (c1_1 (a426)) -> (c0_1 (a426)) -> (~(c2_1 (a426))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H49 zenon_H154 zenon_H152 zenon_H4f zenon_H50 zenon_H52 zenon_H209 zenon_H5 zenon_H202 zenon_H201 zenon_H200 zenon_Ha zenon_H2a zenon_H2f zenon_H33. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H2c | zenon_intro zenon_H44 ]. % 0.77/0.96 apply (zenon_L166_); trivial. % 0.77/0.96 apply (zenon_L173_); trivial. % 0.77/0.96 (* end of lemma zenon_L174_ *) % 0.77/0.96 assert (zenon_L175_ : ((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (~(hskp19)) -> (~(c2_1 (a426))) -> (c0_1 (a426)) -> (c1_1 (a426)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H78 zenon_H71 zenon_H6d zenon_H4a zenon_H6a zenon_H33 zenon_H2f zenon_H2a zenon_H200 zenon_H201 zenon_H202 zenon_H209 zenon_H152 zenon_H154 zenon_H49. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H7a. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H50. zenon_intro zenon_H7b. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H4f. zenon_intro zenon_H52. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.77/0.96 apply (zenon_L174_); trivial. % 0.77/0.96 apply (zenon_L28_); trivial. % 0.77/0.96 (* end of lemma zenon_L175_ *) % 0.77/0.96 assert (zenon_L176_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (c1_1 (a426)) -> (c0_1 (a426)) -> (~(c2_1 (a426))) -> (ndr1_0) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))))) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp7))) -> (~(c0_1 (a434))) -> (~(c3_1 (a434))) -> (c1_1 (a434)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(hskp9)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp9))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H8f zenon_H71 zenon_H6d zenon_H4a zenon_H6a zenon_H209 zenon_H202 zenon_H201 zenon_H200 zenon_Ha zenon_Hfe zenon_H87 zenon_H1b zenon_H33 zenon_H49 zenon_H187 zenon_H152 zenon_H154 zenon_H13f zenon_H91 zenon_H92 zenon_H9a zenon_H118 zenon_H62 zenon_H11a zenon_H2a zenon_H2f zenon_H120. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.77/0.96 apply (zenon_L165_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_Ha. zenon_intro zenon_H11b. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10c. zenon_intro zenon_H11c. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H11d. zenon_intro zenon_H10b. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H2c | zenon_intro zenon_H44 ]. % 0.77/0.96 apply (zenon_L166_); trivial. % 0.77/0.96 apply (zenon_L172_); trivial. % 0.77/0.96 apply (zenon_L28_); trivial. % 0.77/0.96 apply (zenon_L175_); trivial. % 0.77/0.96 (* end of lemma zenon_L176_ *) % 0.77/0.96 assert (zenon_L177_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a445))) -> (c1_1 (a445)) -> (c3_1 (a445)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c1_1 (a434)) -> (~(c3_1 (a434))) -> (~(c0_1 (a434))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (~(hskp20)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (ndr1_0) -> (~(c2_1 (a426))) -> (c0_1 (a426)) -> (c1_1 (a426)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H120 zenon_H11a zenon_H62 zenon_Hd4 zenon_Hd5 zenon_Hd6 zenon_H118 zenon_H9a zenon_H92 zenon_H91 zenon_H33 zenon_H1b zenon_H3 zenon_H87 zenon_Hfe zenon_Ha zenon_H200 zenon_H201 zenon_H202 zenon_H209 zenon_H6a zenon_H4a zenon_H6d zenon_H71. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.77/0.96 apply (zenon_L165_); trivial. % 0.77/0.96 apply (zenon_L75_); trivial. % 0.77/0.96 (* end of lemma zenon_L177_ *) % 0.77/0.96 assert (zenon_L178_ : ((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> (~(hskp13)) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (c1_1 (a426)) -> (c0_1 (a426)) -> (~(c2_1 (a426))) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> (~(c0_1 (a434))) -> (~(c3_1 (a434))) -> (c1_1 (a434)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(hskp9)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp9))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H11f zenon_H8f zenon_H79 zenon_H76 zenon_H71 zenon_H6d zenon_H4a zenon_H6a zenon_H209 zenon_H202 zenon_H201 zenon_H200 zenon_Hfe zenon_H87 zenon_H1b zenon_H33 zenon_H91 zenon_H92 zenon_H9a zenon_H118 zenon_H62 zenon_H11a zenon_H120. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Ha. zenon_intro zenon_H121. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Hd5. zenon_intro zenon_H122. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_Hd6. zenon_intro zenon_Hd4. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.77/0.96 apply (zenon_L177_); trivial. % 0.77/0.96 apply (zenon_L32_); trivial. % 0.77/0.96 (* end of lemma zenon_L178_ *) % 0.77/0.96 assert (zenon_L179_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> (~(hskp13)) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp7))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(c2_1 (a426))) -> (c0_1 (a426)) -> (c1_1 (a426)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (~(hskp2)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> (ndr1_0) -> (~(c2_1 (a404))) -> (c0_1 (a404)) -> (c3_1 (a404)) -> (~(hskp7)) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16))) -> False). % 0.77/0.96 do 0 intro. intros zenon_Ha6 zenon_H18a zenon_H79 zenon_H76 zenon_H120 zenon_H2f zenon_H11a zenon_H62 zenon_H118 zenon_H13f zenon_H154 zenon_H152 zenon_H187 zenon_H49 zenon_H33 zenon_H1b zenon_H87 zenon_Hfe zenon_H200 zenon_H201 zenon_H202 zenon_H209 zenon_H6a zenon_H6d zenon_H71 zenon_H8f zenon_Ha zenon_H1f2 zenon_H1f3 zenon_H1f4 zenon_H4a zenon_H4e. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H4c | zenon_intro zenon_Ha3 ]. % 0.77/0.96 apply (zenon_L160_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_Ha. zenon_intro zenon_Ha4. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H9a. zenon_intro zenon_Ha5. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H91. zenon_intro zenon_H92. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.77/0.96 apply (zenon_L176_); trivial. % 0.77/0.96 apply (zenon_L178_); trivial. % 0.77/0.96 (* end of lemma zenon_L179_ *) % 0.77/0.96 assert (zenon_L180_ : ((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp7))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(c2_1 (a426))) -> (c0_1 (a426)) -> (c1_1 (a426)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_Ha3 zenon_H18a zenon_H9f zenon_Ha1 zenon_H120 zenon_H2f zenon_H11a zenon_H62 zenon_H118 zenon_H13f zenon_H154 zenon_H152 zenon_H187 zenon_H49 zenon_H33 zenon_H1b zenon_H87 zenon_Hfe zenon_H200 zenon_H201 zenon_H202 zenon_H209 zenon_H6a zenon_H4a zenon_H6d zenon_H71 zenon_H8f. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_Ha. zenon_intro zenon_Ha4. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H9a. zenon_intro zenon_Ha5. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H91. zenon_intro zenon_H92. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.77/0.96 apply (zenon_L176_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Ha. zenon_intro zenon_H121. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Hd5. zenon_intro zenon_H122. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_Hd6. zenon_intro zenon_Hd4. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.77/0.96 apply (zenon_L177_); trivial. % 0.77/0.96 apply (zenon_L42_); trivial. % 0.77/0.96 (* end of lemma zenon_L180_ *) % 0.77/0.96 assert (zenon_L181_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp9))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp7))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(c2_1 (a426))) -> (c0_1 (a426)) -> (c1_1 (a426)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16))) -> ((hskp18)\/((hskp20)\/(hskp23))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> (~(hskp11)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((hskp2)\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a440))/\((~(c2_1 (a440)))/\(~(c3_1 (a440))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_Ha6 zenon_H18a zenon_H9f zenon_Ha1 zenon_H120 zenon_H2f zenon_H11a zenon_H118 zenon_H13f zenon_H154 zenon_H152 zenon_H187 zenon_H49 zenon_H33 zenon_H1b zenon_Hfe zenon_H200 zenon_H201 zenon_H202 zenon_H209 zenon_H8f zenon_H64 zenon_H62 zenon_H60 zenon_H4e zenon_H7 zenon_H6a zenon_H4a zenon_H6d zenon_H71 zenon_H87 zenon_H89 zenon_H8e. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H4c | zenon_intro zenon_Ha3 ]. % 0.77/0.96 apply (zenon_L45_); trivial. % 0.77/0.96 apply (zenon_L180_); trivial. % 0.77/0.96 (* end of lemma zenon_L181_ *) % 0.77/0.96 assert (zenon_L182_ : ((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> (~(c0_1 (a427))) -> (c1_1 (a427)) -> (c2_1 (a427)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> (c2_1 (a428)) -> (~(c1_1 (a428))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp7))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(c2_1 (a426))) -> (c0_1 (a426)) -> (c1_1 (a426)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_Ha3 zenon_H18a zenon_Hdd zenon_He0 zenon_He1 zenon_He2 zenon_H100 zenon_Haa zenon_Ha9 zenon_H105 zenon_H120 zenon_H2f zenon_H11a zenon_H62 zenon_H118 zenon_H13f zenon_H154 zenon_H152 zenon_H187 zenon_H49 zenon_H33 zenon_H1b zenon_H87 zenon_Hfe zenon_H200 zenon_H201 zenon_H202 zenon_H209 zenon_H6a zenon_H4a zenon_H6d zenon_H71 zenon_H8f. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_Ha. zenon_intro zenon_Ha4. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H9a. zenon_intro zenon_Ha5. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H91. zenon_intro zenon_H92. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.77/0.96 apply (zenon_L176_); trivial. % 0.77/0.96 apply (zenon_L76_); trivial. % 0.77/0.96 (* end of lemma zenon_L182_ *) % 0.77/0.96 assert (zenon_L183_ : ((ndr1_0)/\((c2_1 (a428))/\((~(c0_1 (a428)))/\(~(c1_1 (a428)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> (~(c0_1 (a427))) -> (c1_1 (a427)) -> (c2_1 (a427)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp7))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(c2_1 (a426))) -> (c0_1 (a426)) -> (c1_1 (a426)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (~(hskp2)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> (~(c2_1 (a404))) -> (c0_1 (a404)) -> (c3_1 (a404)) -> (~(hskp7)) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H1d3 zenon_Ha6 zenon_H18a zenon_Hdd zenon_He0 zenon_He1 zenon_He2 zenon_H100 zenon_H105 zenon_H120 zenon_H2f zenon_H11a zenon_H62 zenon_H118 zenon_H13f zenon_H154 zenon_H152 zenon_H187 zenon_H49 zenon_H33 zenon_H1b zenon_H87 zenon_Hfe zenon_H200 zenon_H201 zenon_H202 zenon_H209 zenon_H6a zenon_H6d zenon_H71 zenon_H8f zenon_H1f2 zenon_H1f3 zenon_H1f4 zenon_H4a zenon_H4e. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_Ha. zenon_intro zenon_H1d4. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_Haa. zenon_intro zenon_H1d5. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_Ha8. zenon_intro zenon_Ha9. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H4c | zenon_intro zenon_Ha3 ]. % 0.77/0.96 apply (zenon_L160_); trivial. % 0.77/0.96 apply (zenon_L182_); trivial. % 0.77/0.96 (* end of lemma zenon_L183_ *) % 0.77/0.96 assert (zenon_L184_ : ((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a428))/\((~(c0_1 (a428)))/\(~(c1_1 (a428))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c2_1 (a404))) -> (c0_1 (a404)) -> (c3_1 (a404)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a440))/\((~(c2_1 (a440)))/\(~(c3_1 (a440))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((hskp2)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((hskp18)\/((hskp20)\/(hskp23))) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((hskp8)\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (c1_1 (a426)) -> (c0_1 (a426)) -> (~(c2_1 (a426))) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))))) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp7))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp9))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H18f zenon_H1d7 zenon_Hdd zenon_H100 zenon_H105 zenon_H1f2 zenon_H1f3 zenon_H1f4 zenon_H8e zenon_H89 zenon_H87 zenon_H71 zenon_H6d zenon_H4a zenon_H6a zenon_H7 zenon_H4e zenon_H60 zenon_H62 zenon_H64 zenon_H8f zenon_H209 zenon_H202 zenon_H201 zenon_H200 zenon_Hfe zenon_H1b zenon_H33 zenon_H49 zenon_H187 zenon_H152 zenon_H154 zenon_H13f zenon_H118 zenon_H11a zenon_H2f zenon_H120 zenon_Ha1 zenon_H18a zenon_Ha6. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Ha. zenon_intro zenon_H190. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_He1. zenon_intro zenon_H191. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_He2. zenon_intro zenon_He0. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H9f | zenon_intro zenon_H1d3 ]. % 0.77/0.96 apply (zenon_L181_); trivial. % 0.77/0.96 apply (zenon_L183_); trivial. % 0.77/0.96 (* end of lemma zenon_L184_ *) % 0.77/0.96 assert (zenon_L185_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((hskp8)\/(hskp9))) -> (c1_1 (a418)) -> (~(c2_1 (a418))) -> (~(c0_1 (a418))) -> (ndr1_0) -> (~(hskp8)) -> (~(hskp9)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H64 zenon_H161 zenon_H160 zenon_H15f zenon_Ha zenon_H60 zenon_H62. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H51 | zenon_intro zenon_H65 ]. % 0.77/0.96 apply (zenon_L98_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H61 | zenon_intro zenon_H63 ]. % 0.77/0.96 exact (zenon_H60 zenon_H61). % 0.77/0.96 exact (zenon_H62 zenon_H63). % 0.77/0.96 (* end of lemma zenon_L185_ *) % 0.77/0.96 assert (zenon_L186_ : ((ndr1_0)/\((c1_1 (a418))/\((~(c0_1 (a418)))/\(~(c2_1 (a418)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((hskp8)\/(hskp9))) -> (~(hskp8)) -> (~(hskp9)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H18e zenon_H64 zenon_H60 zenon_H62. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H195. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H161. zenon_intro zenon_H196. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 0.77/0.96 apply (zenon_L185_); trivial. % 0.77/0.96 (* end of lemma zenon_L186_ *) % 0.77/0.96 assert (zenon_L187_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a418))/\((~(c0_1 (a418)))/\(~(c2_1 (a418))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a426))/\((c1_1 (a426))/\(~(c2_1 (a426))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a428))/\((~(c0_1 (a428)))/\(~(c1_1 (a428))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a440))/\((~(c2_1 (a440)))/\(~(c3_1 (a440))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((hskp2)\/(hskp11))) -> ((hskp18)\/((hskp20)\/(hskp23))) -> (~(hskp8)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((hskp8)\/(hskp9))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16))) -> (~(hskp7)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> (~(hskp2)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp7))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp9))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434))))))) -> (ndr1_0) -> (~(c2_1 (a404))) -> (c0_1 (a404)) -> (c3_1 (a404)) -> (~(hskp9)) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp12)\/(hskp9))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a420)))/\((~(c1_1 (a420)))/\(~(c2_1 (a420))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H189 zenon_H217 zenon_H18b zenon_H1d7 zenon_Hdd zenon_H100 zenon_H105 zenon_H8e zenon_H89 zenon_H7 zenon_H60 zenon_H64 zenon_Ha1 zenon_H4e zenon_H4a zenon_H8f zenon_H71 zenon_H6d zenon_H6a zenon_H209 zenon_Hfe zenon_H1b zenon_H33 zenon_H49 zenon_H187 zenon_H154 zenon_H13f zenon_H118 zenon_H11a zenon_H2f zenon_H120 zenon_H79 zenon_H18a zenon_Ha6 zenon_Ha zenon_H1f2 zenon_H1f3 zenon_H1f4 zenon_H62 zenon_H1fd zenon_Hc7 zenon_H12d zenon_H18d. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.77/0.96 apply (zenon_L159_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Ha. zenon_intro zenon_H219. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H201. zenon_intro zenon_H21a. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H202. zenon_intro zenon_H200. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H76 | zenon_intro zenon_H18f ]. % 0.77/0.96 apply (zenon_L179_); trivial. % 0.77/0.96 apply (zenon_L184_); trivial. % 0.77/0.96 apply (zenon_L91_); trivial. % 0.77/0.96 apply (zenon_L186_); trivial. % 0.77/0.96 (* end of lemma zenon_L187_ *) % 0.77/0.96 assert (zenon_L188_ : ((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp6))) -> (~(hskp7)) -> (~(c0_1 (a416))) -> (~(c1_1 (a416))) -> (c3_1 (a416)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp7))) -> (~(hskp6)) -> False). % 0.77/0.96 do 0 intro. intros zenon_Ha3 zenon_H21b zenon_H4a zenon_H136 zenon_H137 zenon_H138 zenon_H13f zenon_H131. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_Ha. zenon_intro zenon_Ha4. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H9a. zenon_intro zenon_Ha5. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H91. zenon_intro zenon_H92. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H135 | zenon_intro zenon_H21c ]. % 0.77/0.96 apply (zenon_L82_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H90 | zenon_intro zenon_H132 ]. % 0.77/0.96 apply (zenon_L110_); trivial. % 0.77/0.96 exact (zenon_H131 zenon_H132). % 0.77/0.96 (* end of lemma zenon_L188_ *) % 0.77/0.96 assert (zenon_L189_ : ((ndr1_0)/\((c3_1 (a416))/\((~(c0_1 (a416)))/\(~(c1_1 (a416)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp7))) -> (~(c2_1 (a404))) -> (c0_1 (a404)) -> (c3_1 (a404)) -> (~(hskp7)) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H1b6 zenon_Ha6 zenon_H21b zenon_H131 zenon_H13f zenon_H1f2 zenon_H1f3 zenon_H1f4 zenon_H4a zenon_H4e. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_Ha. zenon_intro zenon_H1b7. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H138. zenon_intro zenon_H1b8. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H4c | zenon_intro zenon_Ha3 ]. % 0.77/0.96 apply (zenon_L160_); trivial. % 0.77/0.96 apply (zenon_L188_); trivial. % 0.77/0.96 (* end of lemma zenon_L189_ *) % 0.77/0.96 assert (zenon_L190_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (c1_1 (a426)) -> (c0_1 (a426)) -> (~(c2_1 (a426))) -> (ndr1_0) -> (~(c0_1 (a427))) -> (c1_1 (a427)) -> (c2_1 (a427)) -> (~(c1_1 (a415))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(hskp22)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H71 zenon_H6d zenon_H4a zenon_H6a zenon_H209 zenon_H202 zenon_H201 zenon_H200 zenon_Ha zenon_He0 zenon_He1 zenon_He2 zenon_H197 zenon_H198 zenon_H199 zenon_Hfe zenon_H87 zenon_Hfc zenon_H105 zenon_H33. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H1c | zenon_intro zenon_H2e ]. % 0.77/0.96 apply (zenon_L162_); trivial. % 0.77/0.96 apply (zenon_L138_); trivial. % 0.77/0.96 apply (zenon_L28_); trivial. % 0.77/0.96 (* end of lemma zenon_L190_ *) % 0.77/0.96 assert (zenon_L191_ : (forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56)))))) -> (ndr1_0) -> (~(c0_1 (a477))) -> (forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))) -> (~(c2_1 (a477))) -> (c3_1 (a477)) -> False). % 0.77/0.96 do 0 intro. intros zenon_Hd3 zenon_Ha zenon_H37 zenon_H168 zenon_H38 zenon_H39. % 0.77/0.96 generalize (zenon_Hd3 (a477)). zenon_intro zenon_H20b. % 0.77/0.96 apply (zenon_imply_s _ _ zenon_H20b); [ zenon_intro zenon_H9 | zenon_intro zenon_H20c ]. % 0.77/0.96 exact (zenon_H9 zenon_Ha). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H20c); [ zenon_intro zenon_H3d | zenon_intro zenon_H20d ]. % 0.77/0.96 exact (zenon_H37 zenon_H3d). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H20e | zenon_intro zenon_H3e ]. % 0.77/0.96 apply (zenon_L169_); trivial. % 0.77/0.96 exact (zenon_H3e zenon_H39). % 0.77/0.96 (* end of lemma zenon_L191_ *) % 0.77/0.96 assert (zenon_L192_ : ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp9))) -> (c1_1 (a434)) -> (~(c3_1 (a434))) -> (~(c0_1 (a434))) -> (ndr1_0) -> (~(c0_1 (a477))) -> (forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))) -> (~(c2_1 (a477))) -> (c3_1 (a477)) -> (~(c1_1 (a451))) -> (c0_1 (a451)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(hskp9)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H11a zenon_H9a zenon_H92 zenon_H91 zenon_Ha zenon_H37 zenon_H168 zenon_H38 zenon_H39 zenon_H10b zenon_H10c zenon_H118 zenon_H62. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H107 | zenon_intro zenon_H11e ]. % 0.77/0.96 apply (zenon_L71_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H114 | zenon_intro zenon_H63 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H10a ]. % 0.77/0.96 apply (zenon_L191_); trivial. % 0.77/0.96 apply (zenon_L73_); trivial. % 0.77/0.96 exact (zenon_H62 zenon_H63). % 0.77/0.96 (* end of lemma zenon_L192_ *) % 0.77/0.96 assert (zenon_L193_ : ((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))))) -> (c2_1 (a409)) -> (~(c3_1 (a409))) -> (~(c0_1 (a409))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp9))) -> (c1_1 (a434)) -> (~(c3_1 (a434))) -> (~(c0_1 (a434))) -> (~(c1_1 (a451))) -> (c0_1 (a451)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(hskp9)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H44 zenon_H187 zenon_H1ca zenon_H1c9 zenon_H1c8 zenon_H11a zenon_H9a zenon_H92 zenon_H91 zenon_H10b zenon_H10c zenon_H118 zenon_H62. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H46. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H39. zenon_intro zenon_H47. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H135 | zenon_intro zenon_H188 ]. % 0.77/0.96 apply (zenon_L167_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H90 | zenon_intro zenon_H168 ]. % 0.77/0.96 apply (zenon_L130_); trivial. % 0.77/0.96 apply (zenon_L192_); trivial. % 0.77/0.96 (* end of lemma zenon_L193_ *) % 0.77/0.96 assert (zenon_L194_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))))) -> (c2_1 (a409)) -> (~(c3_1 (a409))) -> (~(c0_1 (a409))) -> (~(c0_1 (a434))) -> (~(c3_1 (a434))) -> (c1_1 (a434)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c0_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp9)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp9))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (~(hskp23)) -> (c1_1 (a426)) -> (c0_1 (a426)) -> (~(c2_1 (a426))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H49 zenon_H187 zenon_H1ca zenon_H1c9 zenon_H1c8 zenon_H91 zenon_H92 zenon_H9a zenon_H118 zenon_H10c zenon_H10b zenon_H62 zenon_H11a zenon_H209 zenon_H5 zenon_H202 zenon_H201 zenon_H200 zenon_Ha zenon_H2a zenon_H2f zenon_H33. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H2c | zenon_intro zenon_H44 ]. % 0.77/0.96 apply (zenon_L166_); trivial. % 0.77/0.96 apply (zenon_L193_); trivial. % 0.77/0.96 (* end of lemma zenon_L194_ *) % 0.77/0.96 assert (zenon_L195_ : ((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (~(hskp19)) -> (~(c2_1 (a426))) -> (c0_1 (a426)) -> (c1_1 (a426)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c1_1 (a434)) -> (~(c3_1 (a434))) -> (~(c0_1 (a434))) -> (~(c0_1 (a409))) -> (~(c3_1 (a409))) -> (c2_1 (a409)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H119 zenon_H71 zenon_H6d zenon_H4a zenon_H6a zenon_H33 zenon_H2f zenon_H2a zenon_H200 zenon_H201 zenon_H202 zenon_H209 zenon_H11a zenon_H62 zenon_H118 zenon_H9a zenon_H92 zenon_H91 zenon_H1c8 zenon_H1c9 zenon_H1ca zenon_H187 zenon_H49. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_Ha. zenon_intro zenon_H11b. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10c. zenon_intro zenon_H11c. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H11d. zenon_intro zenon_H10b. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.77/0.96 apply (zenon_L194_); trivial. % 0.77/0.96 apply (zenon_L28_); trivial. % 0.77/0.96 (* end of lemma zenon_L195_ *) % 0.77/0.96 assert (zenon_L196_ : ((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp9))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c1_1 (a434)) -> (~(c3_1 (a434))) -> (~(c0_1 (a434))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a427))) -> (c1_1 (a427)) -> (c2_1 (a427)) -> (~(c1_1 (a415))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H11f zenon_H120 zenon_H11a zenon_H118 zenon_H9a zenon_H92 zenon_H91 zenon_Hdd zenon_H62 zenon_He0 zenon_He1 zenon_He2 zenon_H197 zenon_H198 zenon_H199 zenon_Hfe zenon_H87 zenon_H105 zenon_H33. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Ha. zenon_intro zenon_H121. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Hd5. zenon_intro zenon_H122. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_Hd6. zenon_intro zenon_Hd4. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.77/0.96 apply (zenon_L139_); trivial. % 0.77/0.96 apply (zenon_L75_); trivial. % 0.77/0.96 (* end of lemma zenon_L196_ *) % 0.77/0.96 assert (zenon_L197_ : ((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> (~(hskp2)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (c1_1 (a426)) -> (c0_1 (a426)) -> (~(c2_1 (a426))) -> (~(c1_1 (a415))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))))) -> (c2_1 (a409)) -> (~(c3_1 (a409))) -> (~(c0_1 (a409))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(hskp9)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp9))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> (~(c2_1 (a404))) -> (c0_1 (a404)) -> (c3_1 (a404)) -> (~(hskp7)) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H18f zenon_Ha6 zenon_H18a zenon_Hdd zenon_H71 zenon_H6d zenon_H6a zenon_H209 zenon_H202 zenon_H201 zenon_H200 zenon_H197 zenon_H198 zenon_H199 zenon_Hfe zenon_H87 zenon_H105 zenon_H33 zenon_H49 zenon_H187 zenon_H1ca zenon_H1c9 zenon_H1c8 zenon_H118 zenon_H62 zenon_H11a zenon_H2f zenon_H120 zenon_H1f2 zenon_H1f3 zenon_H1f4 zenon_H4a zenon_H4e. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Ha. zenon_intro zenon_H190. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_He1. zenon_intro zenon_H191. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_He2. zenon_intro zenon_He0. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H4c | zenon_intro zenon_Ha3 ]. % 0.77/0.96 apply (zenon_L160_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_Ha. zenon_intro zenon_Ha4. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H9a. zenon_intro zenon_Ha5. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H91. zenon_intro zenon_H92. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.77/0.96 apply (zenon_L190_); trivial. % 0.77/0.96 apply (zenon_L195_); trivial. % 0.77/0.96 apply (zenon_L196_); trivial. % 0.77/0.96 (* end of lemma zenon_L197_ *) % 0.77/0.96 assert (zenon_L198_ : ((ndr1_0)/\((c2_1 (a415))/\((c3_1 (a415))/\(~(c1_1 (a415)))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a416))/\((~(c0_1 (a416)))/\(~(c1_1 (a416))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp1))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a426))/\((c1_1 (a426))/\(~(c2_1 (a426))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))))) -> (c2_1 (a409)) -> (~(c3_1 (a409))) -> (~(c0_1 (a409))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp9))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> ((hskp18)\/((hskp20)\/(hskp23))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((hskp2)\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a440))/\((~(c2_1 (a440)))/\(~(c3_1 (a440))))))) -> (~(c2_1 (a404))) -> (c0_1 (a404)) -> (c3_1 (a404)) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp12)\/(hskp9))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a420)))/\((~(c1_1 (a420)))/\(~(c2_1 (a420))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H1c5 zenon_H1c4 zenon_Hca zenon_H217 zenon_H18b zenon_Ha6 zenon_H18a zenon_Hdd zenon_H209 zenon_Hfe zenon_H105 zenon_H33 zenon_H49 zenon_H187 zenon_H1ca zenon_H1c9 zenon_H1c8 zenon_H118 zenon_H11a zenon_H2f zenon_H120 zenon_H4e zenon_H8f zenon_H79 zenon_H7 zenon_H6a zenon_H4a zenon_H6d zenon_H71 zenon_H89 zenon_H8e zenon_H1f2 zenon_H1f3 zenon_H1f4 zenon_H1fd zenon_Hc7 zenon_H12d zenon_H18d. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c6. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H198. zenon_intro zenon_H1c7. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H199. zenon_intro zenon_H197. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.77/0.96 apply (zenon_L159_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Ha. zenon_intro zenon_H219. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H201. zenon_intro zenon_H21a. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H202. zenon_intro zenon_H200. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H76 | zenon_intro zenon_H18f ]. % 0.77/0.96 apply (zenon_L37_); trivial. % 0.77/0.96 apply (zenon_L197_); trivial. % 0.77/0.96 apply (zenon_L91_); trivial. % 0.77/0.96 apply (zenon_L135_); trivial. % 0.77/0.96 (* end of lemma zenon_L198_ *) % 0.77/0.96 assert (zenon_L199_ : (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7))))) -> (ndr1_0) -> (~(c0_1 (a403))) -> (~(c2_1 (a403))) -> (~(c3_1 (a403))) -> False). % 0.77/0.96 do 0 intro. intros zenon_Hd zenon_Ha zenon_H21d zenon_H21e zenon_H21f. % 0.77/0.96 generalize (zenon_Hd (a403)). zenon_intro zenon_H220. % 0.77/0.96 apply (zenon_imply_s _ _ zenon_H220); [ zenon_intro zenon_H9 | zenon_intro zenon_H221 ]. % 0.77/0.96 exact (zenon_H9 zenon_Ha). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H223 | zenon_intro zenon_H222 ]. % 0.77/0.96 exact (zenon_H21d zenon_H223). % 0.77/0.96 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H225 | zenon_intro zenon_H224 ]. % 0.77/0.96 exact (zenon_H21e zenon_H225). % 0.77/0.96 exact (zenon_H21f zenon_H224). % 0.77/0.96 (* end of lemma zenon_L199_ *) % 0.77/0.96 assert (zenon_L200_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> (~(c3_1 (a403))) -> (~(c2_1 (a403))) -> (~(c0_1 (a403))) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp0)) -> False). % 0.77/0.96 do 0 intro. intros zenon_H34 zenon_H21f zenon_H21e zenon_H21d zenon_Ha zenon_H1c zenon_H1e. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_Hd | zenon_intro zenon_H35 ]. % 0.77/0.96 apply (zenon_L199_); trivial. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H1f ]. % 0.77/0.96 exact (zenon_H1c zenon_H1d). % 0.77/0.96 exact (zenon_H1e zenon_H1f). % 0.77/0.96 (* end of lemma zenon_L200_ *) % 0.77/0.96 assert (zenon_L201_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (~(hskp24)) -> (~(hskp19)) -> (ndr1_0) -> (~(c0_1 (a403))) -> (~(c2_1 (a403))) -> (~(c3_1 (a403))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H33 zenon_H2f zenon_H2c zenon_H2a zenon_Ha zenon_H21d zenon_H21e zenon_H21f zenon_H1e zenon_H34. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H1c | zenon_intro zenon_H2e ]. % 0.77/0.96 apply (zenon_L200_); trivial. % 0.77/0.96 apply (zenon_L13_); trivial. % 0.77/0.96 (* end of lemma zenon_L201_ *) % 0.77/0.96 assert (zenon_L202_ : ((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> (~(hskp0)) -> (~(c3_1 (a403))) -> (~(c2_1 (a403))) -> (~(c0_1 (a403))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H78 zenon_H49 zenon_H154 zenon_H152 zenon_H34 zenon_H1e zenon_H21f zenon_H21e zenon_H21d zenon_H2a zenon_H2f zenon_H33. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H7a. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H50. zenon_intro zenon_H7b. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H4f. zenon_intro zenon_H52. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H2c | zenon_intro zenon_H44 ]. % 0.77/0.96 apply (zenon_L201_); trivial. % 0.77/0.96 apply (zenon_L173_); trivial. % 0.77/0.96 (* end of lemma zenon_L202_ *) % 0.77/0.96 assert (zenon_L203_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> (~(c3_1 (a403))) -> (~(c2_1 (a403))) -> (~(c0_1 (a403))) -> ((hskp18)\/((hskp20)\/(hskp23))) -> (~(hskp18)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (~(hskp19)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> (~(hskp11)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp0)\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H8f zenon_H154 zenon_H152 zenon_H21f zenon_H21e zenon_H21d zenon_H7 zenon_H1 zenon_H33 zenon_H2f zenon_H2a zenon_H1b zenon_H1e zenon_H34 zenon_H87 zenon_H15b zenon_H49 zenon_H71. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.77/0.96 apply (zenon_L117_); trivial. % 0.77/0.96 apply (zenon_L202_); trivial. % 0.77/0.96 (* end of lemma zenon_L203_ *) % 0.77/0.96 assert (zenon_L204_ : ((ndr1_0)/\((c2_1 (a428))/\((~(c0_1 (a428)))/\(~(c1_1 (a428)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> (~(c3_1 (a403))) -> (~(c2_1 (a403))) -> (~(c0_1 (a403))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp0)\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> (c2_1 (a427)) -> (c1_1 (a427)) -> (~(c0_1 (a427))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp9))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16))) -> ((hskp18)\/((hskp20)\/(hskp23))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> (~(hskp11)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((hskp2)\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a440))/\((~(c2_1 (a440)))/\(~(c3_1 (a440))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H1d3 zenon_Ha6 zenon_H154 zenon_H152 zenon_H21f zenon_H21e zenon_H21d zenon_H33 zenon_H2f zenon_H1b zenon_H1e zenon_H34 zenon_H15b zenon_H49 zenon_H105 zenon_Hfe zenon_H100 zenon_He2 zenon_He1 zenon_He0 zenon_Hdd zenon_H118 zenon_H11a zenon_H120 zenon_H18a zenon_H8f zenon_H64 zenon_H62 zenon_H60 zenon_H4e zenon_H7 zenon_H6a zenon_H4a zenon_H6d zenon_H71 zenon_H87 zenon_H89 zenon_H8e. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_Ha. zenon_intro zenon_H1d4. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_Haa. zenon_intro zenon_H1d5. % 0.77/0.96 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_Ha8. zenon_intro zenon_Ha9. % 0.77/0.96 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H4c | zenon_intro zenon_Ha3 ]. % 0.77/0.96 apply (zenon_L45_); trivial. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_Ha. zenon_intro zenon_Ha4. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H9a. zenon_intro zenon_Ha5. % 0.77/0.96 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H91. zenon_intro zenon_H92. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H1 | zenon_intro zenon_H8b ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.77/0.96 apply (zenon_L203_); trivial. % 0.77/0.96 apply (zenon_L76_); trivial. % 0.77/0.96 apply (zenon_L36_); trivial. % 0.77/0.96 (* end of lemma zenon_L204_ *) % 0.77/0.96 assert (zenon_L205_ : ((~(hskp9))\/((ndr1_0)/\((c3_1 (a416))/\((~(c0_1 (a416)))/\(~(c1_1 (a416))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp20))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp1))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427))))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a420)))/\((~(c1_1 (a420)))/\(~(c2_1 (a420))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp1)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((hskp8)\/(hskp9))) -> (~(hskp8)) -> (~(c1_1 (a410))) -> (~(c3_1 (a410))) -> (c0_1 (a410)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((forall X73 : zenon_U, ((ndr1_0)->((~(c1_1 X73))\/((~(c2_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp0)\/(hskp11))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((hskp18)\/((hskp20)\/(hskp23))) -> (~(c0_1 (a403))) -> (~(c2_1 (a403))) -> (~(c3_1 (a403))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> (~(hskp2)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((hskp2)\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a440))/\((~(c2_1 (a440)))/\(~(c3_1 (a440))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a418))/\((~(c0_1 (a418)))/\(~(c2_1 (a418))))))) -> False). % 0.77/0.96 do 0 intro. intros zenon_H1c4 zenon_H1b4 zenon_H15c zenon_H79 zenon_H185 zenon_H18b zenon_H18d zenon_H12d zenon_Hc7 zenon_H18a zenon_H64 zenon_H60 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1a9 zenon_H71 zenon_H49 zenon_H15b zenon_H34 zenon_H1e zenon_H1b zenon_H2f zenon_H33 zenon_H7 zenon_H21d zenon_H21e zenon_H21f zenon_H154 zenon_H8f zenon_H6a zenon_H89 zenon_H8e zenon_H189. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.77/0.96 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H1 | zenon_intro zenon_H8b ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.77/0.97 apply (zenon_L203_); trivial. % 0.77/0.97 apply (zenon_L120_); trivial. % 0.77/0.97 apply (zenon_L36_); trivial. % 0.77/0.97 apply (zenon_L91_); trivial. % 0.77/0.97 apply (zenon_L186_); trivial. % 0.77/0.97 apply (zenon_L123_); trivial. % 0.77/0.97 (* end of lemma zenon_L205_ *) % 0.77/0.97 assert (zenon_L206_ : ((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))))) -> (~(c0_1 (a445))) -> (c1_1 (a445)) -> (c3_1 (a445)) -> (~(c1_1 (a415))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c3_1 (a403))) -> (~(c2_1 (a403))) -> (~(c0_1 (a403))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H6c zenon_H1ed zenon_Hd4 zenon_Hd5 zenon_Hd6 zenon_H197 zenon_H198 zenon_H199 zenon_H118 zenon_H21f zenon_H21e zenon_H21d. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_Ha. zenon_intro zenon_H6e. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_Hf. zenon_intro zenon_H6f. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1ee ]. % 0.77/0.97 apply (zenon_L125_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_Hd | zenon_intro zenon_H66 ]. % 0.77/0.97 apply (zenon_L199_); trivial. % 0.77/0.97 apply (zenon_L26_); trivial. % 0.77/0.97 (* end of lemma zenon_L206_ *) % 0.77/0.97 assert (zenon_L207_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))))) -> (~(c3_1 (a403))) -> (~(c2_1 (a403))) -> (~(c0_1 (a403))) -> (~(c0_1 (a445))) -> (c1_1 (a445)) -> (c3_1 (a445)) -> (~(c1_1 (a415))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(hskp18)) -> (~(hskp20)) -> ((hskp18)\/((hskp20)\/(hskp23))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H71 zenon_H1ed zenon_H21f zenon_H21e zenon_H21d zenon_Hd4 zenon_Hd5 zenon_Hd6 zenon_H197 zenon_H198 zenon_H199 zenon_H118 zenon_H1 zenon_H3 zenon_H7. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.77/0.97 apply (zenon_L4_); trivial. % 0.77/0.97 apply (zenon_L206_); trivial. % 0.77/0.97 (* end of lemma zenon_L207_ *) % 0.77/0.97 assert (zenon_L208_ : ((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> (~(hskp13)) -> (~(hskp2)) -> ((hskp18)\/((hskp20)\/(hskp23))) -> (~(hskp18)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (~(c1_1 (a415))) -> (~(c0_1 (a403))) -> (~(c2_1 (a403))) -> (~(c3_1 (a403))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H11f zenon_H8f zenon_H79 zenon_H76 zenon_H6a zenon_H7 zenon_H1 zenon_H118 zenon_H199 zenon_H198 zenon_H197 zenon_H21d zenon_H21e zenon_H21f zenon_H1ed zenon_H71. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Ha. zenon_intro zenon_H121. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Hd5. zenon_intro zenon_H122. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_Hd6. zenon_intro zenon_Hd4. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.77/0.97 apply (zenon_L207_); trivial. % 0.77/0.97 apply (zenon_L32_); trivial. % 0.77/0.97 (* end of lemma zenon_L208_ *) % 0.77/0.97 assert (zenon_L209_ : ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> (~(c1_1 (a415))) -> (c3_1 (a477)) -> (~(c2_1 (a477))) -> (forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))) -> (~(c0_1 (a477))) -> (ndr1_0) -> False). % 0.77/0.97 do 0 intro. intros zenon_H118 zenon_H199 zenon_H198 zenon_Ha7 zenon_H197 zenon_H39 zenon_H38 zenon_H168 zenon_H37 zenon_Ha. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H10a ]. % 0.77/0.97 apply (zenon_L191_); trivial. % 0.77/0.97 apply (zenon_L124_); trivial. % 0.77/0.97 (* end of lemma zenon_L209_ *) % 0.77/0.97 assert (zenon_L210_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/(hskp28))) -> (c1_1 (a418)) -> (~(c2_1 (a418))) -> (~(c0_1 (a418))) -> (ndr1_0) -> (~(c0_1 (a477))) -> (~(c2_1 (a477))) -> (c3_1 (a477)) -> (~(c1_1 (a415))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(hskp28)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H16d zenon_H161 zenon_H160 zenon_H15f zenon_Ha zenon_H37 zenon_H38 zenon_H39 zenon_H197 zenon_Ha7 zenon_H198 zenon_H199 zenon_H118 zenon_H16b. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H51 | zenon_intro zenon_H16e ]. % 0.77/0.97 apply (zenon_L98_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H168 | zenon_intro zenon_H16c ]. % 0.77/0.97 apply (zenon_L209_); trivial. % 0.77/0.97 exact (zenon_H16b zenon_H16c). % 0.77/0.97 (* end of lemma zenon_L210_ *) % 0.77/0.97 assert (zenon_L211_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))))) -> (~(hskp28)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (~(c1_1 (a415))) -> (c3_1 (a477)) -> (~(c2_1 (a477))) -> (~(c0_1 (a477))) -> (~(c0_1 (a418))) -> (~(c2_1 (a418))) -> (c1_1 (a418)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/(hskp28))) -> (~(c3_1 (a403))) -> (~(c2_1 (a403))) -> (~(c0_1 (a403))) -> (ndr1_0) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c1_1 (a460)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H1ed zenon_H16b zenon_H118 zenon_H199 zenon_H198 zenon_H197 zenon_H39 zenon_H38 zenon_H37 zenon_H15f zenon_H160 zenon_H161 zenon_H16d zenon_H21f zenon_H21e zenon_H21d zenon_Ha zenon_He zenon_Hc zenon_Hf. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1ee ]. % 0.77/0.97 apply (zenon_L210_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_Hd | zenon_intro zenon_H66 ]. % 0.77/0.97 apply (zenon_L199_); trivial. % 0.77/0.97 apply (zenon_L26_); trivial. % 0.77/0.97 (* end of lemma zenon_L211_ *) % 0.77/0.97 assert (zenon_L212_ : ((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp20))) -> (c1_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (~(hskp20)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H178 zenon_H1b4 zenon_Hf zenon_Hc zenon_He zenon_H3. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_Ha. zenon_intro zenon_H179. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H16f. zenon_intro zenon_H17a. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H66 | zenon_intro zenon_H1b5 ]. % 0.77/0.97 apply (zenon_L26_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H4 ]. % 0.77/0.97 apply (zenon_L103_); trivial. % 0.77/0.97 exact (zenon_H3 zenon_H4). % 0.77/0.97 (* end of lemma zenon_L212_ *) % 0.77/0.97 assert (zenon_L213_ : ((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp20))) -> (~(hskp20)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/(hskp28))) -> (~(c1_1 (a415))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c1_1 (a418)) -> (~(c2_1 (a418))) -> (~(c0_1 (a418))) -> (~(c0_1 (a403))) -> (~(c2_1 (a403))) -> (~(c3_1 (a403))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c1_1 (a460)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H44 zenon_H17b zenon_H1b4 zenon_H3 zenon_H16d zenon_H197 zenon_H198 zenon_H199 zenon_H118 zenon_H161 zenon_H160 zenon_H15f zenon_H21d zenon_H21e zenon_H21f zenon_He zenon_Hc zenon_Hf zenon_H1ed. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H46. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H39. zenon_intro zenon_H47. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H16b | zenon_intro zenon_H178 ]. % 0.77/0.97 apply (zenon_L211_); trivial. % 0.77/0.97 apply (zenon_L212_); trivial. % 0.77/0.97 (* end of lemma zenon_L213_ *) % 0.77/0.97 assert (zenon_L214_ : ((ndr1_0)/\((c3_1 (a416))/\((~(c0_1 (a416)))/\(~(c1_1 (a416)))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a420)))/\((~(c1_1 (a420)))/\(~(c2_1 (a420))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp1)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a440))/\((~(c2_1 (a440)))/\(~(c3_1 (a440))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((hskp2)\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> (~(hskp2)) -> ((hskp18)\/((hskp20)\/(hskp23))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp0)\/(hskp11))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))))) -> (~(c3_1 (a403))) -> (~(c2_1 (a403))) -> (~(c0_1 (a403))) -> (~(c1_1 (a415))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((hskp15)\/(hskp6))) -> (~(hskp6)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a430))/\((c2_1 (a430))/\(~(c3_1 (a430))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H1b6 zenon_H18d zenon_H12d zenon_Hc7 zenon_H8e zenon_H89 zenon_H8f zenon_H79 zenon_H6a zenon_H7 zenon_H33 zenon_H2f zenon_H15b zenon_H1e zenon_H15c zenon_H34 zenon_H49 zenon_H71 zenon_H1ed zenon_H21f zenon_H21e zenon_H21d zenon_H197 zenon_H198 zenon_H199 zenon_H118 zenon_H18a zenon_H133 zenon_H131 zenon_H105 zenon_H18c zenon_H18b. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_Ha. zenon_intro zenon_H1b7. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H138. zenon_intro zenon_H1b8. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H76 | zenon_intro zenon_H18f ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H1 | zenon_intro zenon_H8b ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.77/0.97 apply (zenon_L97_); trivial. % 0.77/0.97 apply (zenon_L32_); trivial. % 0.77/0.97 apply (zenon_L208_); trivial. % 0.77/0.97 apply (zenon_L36_); trivial. % 0.77/0.97 apply (zenon_L115_); trivial. % 0.77/0.97 apply (zenon_L91_); trivial. % 0.77/0.97 (* end of lemma zenon_L214_ *) % 0.77/0.97 assert (zenon_L215_ : ((ndr1_0)/\((c0_1 (a410))/\((~(c1_1 (a410)))/\(~(c3_1 (a410)))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a415))/\((c3_1 (a415))/\(~(c1_1 (a415))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((hskp15)\/(hskp6))) -> (~(hskp6)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a430))/\((c2_1 (a430))/\(~(c3_1 (a430))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a407))/\((c2_1 (a407))/\(c3_1 (a407)))))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp26)\/(hskp5))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/(hskp28))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a418))/\((~(c0_1 (a418)))/\(~(c2_1 (a418))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a440))/\((~(c2_1 (a440)))/\(~(c3_1 (a440))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((hskp2)\/(hskp11))) -> (~(hskp2)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(c3_1 (a403))) -> (~(c2_1 (a403))) -> (~(c0_1 (a403))) -> ((hskp18)\/((hskp20)\/(hskp23))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp0)\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((forall X73 : zenon_U, ((ndr1_0)->((~(c1_1 X73))\/((~(c2_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((hskp8)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a420)))/\((~(c1_1 (a420)))/\(~(c2_1 (a420))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp1))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp20))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a416))/\((~(c0_1 (a416)))/\(~(c1_1 (a416))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H1d6 zenon_H1c3 zenon_H1ed zenon_H118 zenon_H133 zenon_H131 zenon_H105 zenon_H18c zenon_Hce zenon_H40 zenon_Hb3 zenon_H17b zenon_H16d zenon_H189 zenon_H8e zenon_H89 zenon_H6a zenon_H8f zenon_H154 zenon_H21f zenon_H21e zenon_H21d zenon_H7 zenon_H33 zenon_H2f zenon_H1b zenon_H1e zenon_H34 zenon_H15b zenon_H49 zenon_H71 zenon_H1a9 zenon_H64 zenon_H18a zenon_Hc7 zenon_H12d zenon_H18d zenon_H18b zenon_H185 zenon_H79 zenon_H15c zenon_H1b4 zenon_H1c4. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_Ha. zenon_intro zenon_H1d8. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1a2. zenon_intro zenon_H1d9. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1a0. zenon_intro zenon_H1a1. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H60 | zenon_intro zenon_H1c5 ]. % 0.77/0.97 apply (zenon_L205_); trivial. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c6. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H198. zenon_intro zenon_H1c7. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H199. zenon_intro zenon_H197. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H76 | zenon_intro zenon_H18f ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H1 | zenon_intro zenon_H8b ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.77/0.97 apply (zenon_L203_); trivial. % 0.77/0.97 apply (zenon_L208_); trivial. % 0.77/0.97 apply (zenon_L36_); trivial. % 0.77/0.97 apply (zenon_L115_); trivial. % 0.77/0.97 apply (zenon_L91_); trivial. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H195. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H161. zenon_intro zenon_H196. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H76 | zenon_intro zenon_H18f ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H1 | zenon_intro zenon_H8b ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.77/0.97 apply (zenon_L4_); trivial. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_Ha. zenon_intro zenon_H6e. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_Hf. zenon_intro zenon_H6f. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H2c | zenon_intro zenon_H44 ]. % 0.77/0.97 apply (zenon_L14_); trivial. % 0.77/0.97 apply (zenon_L213_); trivial. % 0.77/0.97 apply (zenon_L32_); trivial. % 0.77/0.97 apply (zenon_L128_); trivial. % 0.77/0.97 apply (zenon_L36_); trivial. % 0.77/0.97 apply (zenon_L121_); trivial. % 0.77/0.97 apply (zenon_L91_); trivial. % 0.77/0.97 apply (zenon_L214_); trivial. % 0.77/0.97 (* end of lemma zenon_L215_ *) % 0.77/0.97 assert (zenon_L216_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a428)) -> (~(c1_1 (a428))) -> (~(c0_1 (a428))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> (~(hskp0)) -> (~(c3_1 (a403))) -> (~(c2_1 (a403))) -> (~(c0_1 (a403))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H49 zenon_Hd1 zenon_Hcf zenon_Haa zenon_Ha9 zenon_Ha8 zenon_H34 zenon_H1e zenon_H21f zenon_H21e zenon_H21d zenon_Ha zenon_H2a zenon_H2f zenon_H33. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H2c | zenon_intro zenon_H44 ]. % 0.77/0.97 apply (zenon_L201_); trivial. % 0.77/0.97 apply (zenon_L58_); trivial. % 0.77/0.97 (* end of lemma zenon_L216_ *) % 0.77/0.97 assert (zenon_L217_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11))) -> (~(hskp22)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (c3_1 (a408)) -> (c2_1 (a408)) -> (~(c0_1 (a408))) -> (ndr1_0) -> (~(c0_1 (a403))) -> (~(c2_1 (a403))) -> (~(c3_1 (a403))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H33 zenon_H15c zenon_Hfc zenon_H87 zenon_Hfe zenon_H1dc zenon_H1db zenon_H1da zenon_Ha zenon_H21d zenon_H21e zenon_H21f zenon_H1e zenon_H34. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H1c | zenon_intro zenon_H2e ]. % 0.77/0.97 apply (zenon_L200_); trivial. % 0.77/0.97 apply (zenon_L148_); trivial. % 0.77/0.97 (* end of lemma zenon_L217_ *) % 0.77/0.97 assert (zenon_L218_ : ((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/(hskp4))) -> (c2_1 (a451)) -> (c0_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp4)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H44 zenon_H181 zenon_H11d zenon_H10c zenon_H10b zenon_Hcf. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H46. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H39. zenon_intro zenon_H47. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H36 | zenon_intro zenon_H182 ]. % 0.77/0.97 apply (zenon_L15_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H17c | zenon_intro zenon_Hd0 ]. % 0.77/0.97 apply (zenon_L106_); trivial. % 0.77/0.97 exact (zenon_Hcf zenon_Hd0). % 0.77/0.97 (* end of lemma zenon_L218_ *) % 0.77/0.97 assert (zenon_L219_ : ((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> (~(hskp0)) -> (~(c3_1 (a403))) -> (~(c2_1 (a403))) -> (~(c0_1 (a403))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H119 zenon_H49 zenon_H181 zenon_Hcf zenon_H34 zenon_H1e zenon_H21f zenon_H21e zenon_H21d zenon_H2a zenon_H2f zenon_H33. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_Ha. zenon_intro zenon_H11b. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10c. zenon_intro zenon_H11c. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H11d. zenon_intro zenon_H10b. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H2c | zenon_intro zenon_H44 ]. % 0.77/0.97 apply (zenon_L201_); trivial. % 0.77/0.97 apply (zenon_L218_); trivial. % 0.77/0.97 (* end of lemma zenon_L219_ *) % 0.77/0.97 assert (zenon_L220_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> (~(hskp0)) -> (~(c3_1 (a403))) -> (~(c2_1 (a403))) -> (~(c0_1 (a403))) -> (ndr1_0) -> (~(c0_1 (a408))) -> (c2_1 (a408)) -> (c3_1 (a408)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H120 zenon_H49 zenon_H181 zenon_Hcf zenon_H2a zenon_H2f zenon_H34 zenon_H1e zenon_H21f zenon_H21e zenon_H21d zenon_Ha zenon_H1da zenon_H1db zenon_H1dc zenon_Hfe zenon_H87 zenon_H15c zenon_H33. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.77/0.97 apply (zenon_L217_); trivial. % 0.77/0.97 apply (zenon_L219_); trivial. % 0.77/0.97 (* end of lemma zenon_L220_ *) % 0.77/0.97 assert (zenon_L221_ : ((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11))) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (c3_1 (a408)) -> (c2_1 (a408)) -> (~(c0_1 (a408))) -> (~(c0_1 (a403))) -> (~(c2_1 (a403))) -> (~(c3_1 (a403))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H18f zenon_H18a zenon_H185 zenon_Hc7 zenon_H118 zenon_H33 zenon_H15c zenon_H87 zenon_Hfe zenon_H1dc zenon_H1db zenon_H1da zenon_H21d zenon_H21e zenon_H21f zenon_H1e zenon_H34 zenon_H2f zenon_Hcf zenon_H181 zenon_H49 zenon_H120. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Ha. zenon_intro zenon_H190. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_He1. zenon_intro zenon_H191. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_He2. zenon_intro zenon_He0. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.77/0.97 apply (zenon_L220_); trivial. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Ha. zenon_intro zenon_H121. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Hd5. zenon_intro zenon_H122. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_Hd6. zenon_intro zenon_Hd4. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.77/0.97 apply (zenon_L217_); trivial. % 0.77/0.97 apply (zenon_L109_); trivial. % 0.77/0.97 (* end of lemma zenon_L221_ *) % 0.77/0.97 assert (zenon_L222_ : ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp12)\/(hskp1))) -> (c0_1 (a410)) -> (~(c3_1 (a410))) -> (~(c1_1 (a410))) -> (ndr1_0) -> (~(hskp12)) -> (~(hskp1)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H226 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_Ha zenon_H1fb zenon_Hc7. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H114 | zenon_intro zenon_H227 ]. % 0.77/0.97 apply (zenon_L119_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1fc | zenon_intro zenon_Hc8 ]. % 0.77/0.97 exact (zenon_H1fb zenon_H1fc). % 0.77/0.97 exact (zenon_Hc7 zenon_Hc8). % 0.77/0.97 (* end of lemma zenon_L222_ *) % 0.77/0.97 assert (zenon_L223_ : (forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56)))))) -> (ndr1_0) -> (~(c0_1 (a408))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> (c2_1 (a408)) -> (c3_1 (a408)) -> False). % 0.77/0.97 do 0 intro. intros zenon_Hd3 zenon_Ha zenon_H1da zenon_Ha7 zenon_H1db zenon_H1dc. % 0.77/0.97 generalize (zenon_Hd3 (a408)). zenon_intro zenon_H228. % 0.77/0.97 apply (zenon_imply_s _ _ zenon_H228); [ zenon_intro zenon_H9 | zenon_intro zenon_H229 ]. % 0.77/0.97 exact (zenon_H9 zenon_Ha). % 0.77/0.97 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H22a ]. % 0.77/0.97 exact (zenon_H1da zenon_H1e0). % 0.77/0.97 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H1e1 ]. % 0.77/0.97 apply (zenon_L150_); trivial. % 0.77/0.97 exact (zenon_H1e1 zenon_H1dc). % 0.77/0.97 (* end of lemma zenon_L223_ *) % 0.77/0.97 assert (zenon_L224_ : ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> (c3_1 (a408)) -> (c2_1 (a408)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> (~(c0_1 (a408))) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp9)) -> False). % 0.77/0.97 do 0 intro. intros zenon_Hdd zenon_H1dc zenon_H1db zenon_Ha7 zenon_H1da zenon_Ha zenon_H1c zenon_H62. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hde ]. % 0.77/0.97 apply (zenon_L223_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H1d | zenon_intro zenon_H63 ]. % 0.77/0.97 exact (zenon_H1c zenon_H1d). % 0.77/0.97 exact (zenon_H62 zenon_H63). % 0.77/0.97 (* end of lemma zenon_L224_ *) % 0.77/0.97 assert (zenon_L225_ : ((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp0)\/(hskp11))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))))) -> (~(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11))) -> (~(c0_1 (a408))) -> (c2_1 (a408)) -> (c3_1 (a408)) -> (~(hskp9)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H6c zenon_H49 zenon_H15b zenon_H1e zenon_H1ed zenon_H87 zenon_H15c zenon_H1da zenon_H1db zenon_H1dc zenon_H62 zenon_Hdd zenon_H2a zenon_H2f zenon_H33. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_Ha. zenon_intro zenon_H6e. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_Hf. zenon_intro zenon_H6f. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H2c | zenon_intro zenon_H44 ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H1c | zenon_intro zenon_H2e ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1ee ]. % 0.77/0.97 apply (zenon_L224_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_Hd | zenon_intro zenon_H66 ]. % 0.77/0.97 apply (zenon_L153_); trivial. % 0.77/0.97 apply (zenon_L26_); trivial. % 0.77/0.97 apply (zenon_L13_); trivial. % 0.77/0.97 apply (zenon_L95_); trivial. % 0.77/0.97 (* end of lemma zenon_L225_ *) % 0.77/0.97 assert (zenon_L226_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp0)\/(hskp11))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11))) -> (~(c0_1 (a408))) -> (c2_1 (a408)) -> (c3_1 (a408)) -> (~(hskp9)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (c1_1 (a426)) -> (c0_1 (a426)) -> (~(c2_1 (a426))) -> (ndr1_0) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(hskp22)) -> (~(hskp20)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H71 zenon_H49 zenon_H15b zenon_H1e zenon_H1ed zenon_H15c zenon_H1da zenon_H1db zenon_H1dc zenon_H62 zenon_Hdd zenon_H2a zenon_H2f zenon_H209 zenon_H202 zenon_H201 zenon_H200 zenon_Ha zenon_Hfe zenon_H87 zenon_Hfc zenon_H3 zenon_H1b zenon_H33. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.77/0.97 apply (zenon_L164_); trivial. % 0.77/0.97 apply (zenon_L225_); trivial. % 0.77/0.97 (* end of lemma zenon_L226_ *) % 0.77/0.97 assert (zenon_L227_ : (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (ndr1_0) -> (c0_1 (a451)) -> (c2_1 (a451)) -> (c3_1 (a451)) -> False). % 0.77/0.97 do 0 intro. intros zenon_Hf3 zenon_Ha zenon_H10c zenon_H11d zenon_H10d. % 0.77/0.97 generalize (zenon_Hf3 (a451)). zenon_intro zenon_H22b. % 0.77/0.97 apply (zenon_imply_s _ _ zenon_H22b); [ zenon_intro zenon_H9 | zenon_intro zenon_H22c ]. % 0.77/0.97 exact (zenon_H9 zenon_Ha). % 0.77/0.97 apply (zenon_or_s _ _ zenon_H22c); [ zenon_intro zenon_H113 | zenon_intro zenon_H22d ]. % 0.77/0.97 exact (zenon_H113 zenon_H10c). % 0.77/0.97 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H180 | zenon_intro zenon_H112 ]. % 0.77/0.97 exact (zenon_H180 zenon_H11d). % 0.77/0.97 exact (zenon_H112 zenon_H10d). % 0.77/0.97 (* end of lemma zenon_L227_ *) % 0.77/0.97 assert (zenon_L228_ : (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39)))))) -> (ndr1_0) -> (~(c1_1 (a451))) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (c0_1 (a451)) -> (c2_1 (a451)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H114 zenon_Ha zenon_H10b zenon_Hf3 zenon_H10c zenon_H11d. % 0.77/0.97 generalize (zenon_H114 (a451)). zenon_intro zenon_H115. % 0.77/0.97 apply (zenon_imply_s _ _ zenon_H115); [ zenon_intro zenon_H9 | zenon_intro zenon_H116 ]. % 0.77/0.97 exact (zenon_H9 zenon_Ha). % 0.77/0.97 apply (zenon_or_s _ _ zenon_H116); [ zenon_intro zenon_H111 | zenon_intro zenon_H117 ]. % 0.77/0.97 exact (zenon_H10b zenon_H111). % 0.77/0.97 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H10d | zenon_intro zenon_H113 ]. % 0.77/0.97 apply (zenon_L227_); trivial. % 0.77/0.97 exact (zenon_H113 zenon_H10c). % 0.77/0.97 (* end of lemma zenon_L228_ *) % 0.77/0.97 assert (zenon_L229_ : ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp20))) -> (c1_1 (a460)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (c2_1 (a451)) -> (c0_1 (a451)) -> (~(c1_1 (a451))) -> (ndr1_0) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39)))))) -> (~(hskp20)) -> False). % 0.77/0.97 do 0 intro. intros zenon_H1b4 zenon_Hf zenon_Hc zenon_He zenon_H11d zenon_H10c zenon_H10b zenon_Ha zenon_H114 zenon_H3. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H66 | zenon_intro zenon_H1b5 ]. % 0.77/0.97 apply (zenon_L26_); trivial. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H4 ]. % 0.77/0.97 apply (zenon_L228_); trivial. % 0.77/0.97 exact (zenon_H3 zenon_H4). % 0.77/0.97 (* end of lemma zenon_L229_ *) % 0.77/0.97 assert (zenon_L230_ : ((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))))) -> (~(hskp1)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp20))) -> (c2_1 (a451)) -> (c0_1 (a451)) -> (~(c1_1 (a451))) -> (~(hskp20)) -> (~(c0_1 (a408))) -> (c2_1 (a408)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp1))) -> (~(c3_1 (a403))) -> (~(c2_1 (a403))) -> (~(c0_1 (a403))) -> False). % 0.77/0.97 do 0 intro. intros zenon_H6c zenon_H1ed zenon_Hc7 zenon_H1b4 zenon_H11d zenon_H10c zenon_H10b zenon_H3 zenon_H1da zenon_H1db zenon_H185 zenon_H21f zenon_H21e zenon_H21d. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_Ha. zenon_intro zenon_H6e. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_Hf. zenon_intro zenon_H6f. % 0.77/0.97 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1ee ]. % 0.77/0.97 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hdf | zenon_intro zenon_H186 ]. % 0.82/0.97 apply (zenon_L151_); trivial. % 0.82/0.97 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H114 | zenon_intro zenon_Hc8 ]. % 0.82/0.97 apply (zenon_L229_); trivial. % 0.82/0.97 exact (zenon_Hc7 zenon_Hc8). % 0.82/0.97 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_Hd | zenon_intro zenon_H66 ]. % 0.82/0.97 apply (zenon_L199_); trivial. % 0.82/0.97 apply (zenon_L26_); trivial. % 0.82/0.97 (* end of lemma zenon_L230_ *) % 0.82/0.97 assert (zenon_L231_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> (~(hskp13)) -> (~(hskp2)) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp0)\/(hskp11))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11))) -> (~(c0_1 (a408))) -> (c2_1 (a408)) -> (c3_1 (a408)) -> (~(hskp9)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (c1_1 (a426)) -> (c0_1 (a426)) -> (~(c2_1 (a426))) -> (ndr1_0) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((hskp18)\/((hskp20)\/(hskp23))) -> (~(hskp18)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp20))) -> (~(c0_1 (a403))) -> (~(c2_1 (a403))) -> (~(c3_1 (a403))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> False). % 0.82/0.97 do 0 intro. intros zenon_H8f zenon_H79 zenon_H76 zenon_H6a zenon_H71 zenon_H49 zenon_H15b zenon_H1e zenon_H1ed zenon_H15c zenon_H1da zenon_H1db zenon_H1dc zenon_H62 zenon_Hdd zenon_H2a zenon_H2f zenon_H209 zenon_H202 zenon_H201 zenon_H200 zenon_Ha zenon_Hfe zenon_H87 zenon_H1b zenon_H33 zenon_H7 zenon_H1 zenon_H185 zenon_Hc7 zenon_H1b4 zenon_H21d zenon_H21e zenon_H21f zenon_H120. % 0.82/0.97 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/0.97 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.82/0.97 apply (zenon_L226_); trivial. % 0.82/0.97 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_Ha. zenon_intro zenon_H11b. % 0.82/0.97 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10c. zenon_intro zenon_H11c. % 0.82/0.97 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H11d. zenon_intro zenon_H10b. % 0.82/0.97 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.82/0.97 apply (zenon_L4_); trivial. % 0.82/0.97 apply (zenon_L230_); trivial. % 0.82/0.97 apply (zenon_L32_); trivial. % 0.82/0.97 (* end of lemma zenon_L231_ *) % 0.82/0.97 assert (zenon_L232_ : ((ndr1_0)/\((c0_1 (a426))/\((c1_1 (a426))/\(~(c2_1 (a426)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a430))/\((c2_1 (a430))/\(~(c3_1 (a430))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(hskp6)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((hskp15)\/(hskp6))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (~(c1_1 (a415))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> (~(c3_1 (a403))) -> (~(c2_1 (a403))) -> (~(c0_1 (a403))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp20))) -> (~(hskp1)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp1))) -> ((hskp18)\/((hskp20)\/(hskp23))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a408)) -> (c2_1 (a408)) -> (~(c0_1 (a408))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))))) -> (~(hskp0)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp0)\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> (~(hskp2)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((hskp2)\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a440))/\((~(c2_1 (a440)))/\(~(c3_1 (a440))))))) -> False). % 0.82/0.97 do 0 intro. intros zenon_H218 zenon_H18b zenon_H18c zenon_H105 zenon_H131 zenon_H133 zenon_H18a zenon_H118 zenon_H199 zenon_H198 zenon_H197 zenon_H120 zenon_H21f zenon_H21e zenon_H21d zenon_H1b4 zenon_Hc7 zenon_H185 zenon_H7 zenon_H33 zenon_H1b zenon_H87 zenon_Hfe zenon_H209 zenon_H2f zenon_Hdd zenon_H62 zenon_H1dc zenon_H1db zenon_H1da zenon_H15c zenon_H1ed zenon_H1e zenon_H15b zenon_H49 zenon_H71 zenon_H6a zenon_H79 zenon_H8f zenon_H89 zenon_H8e. % 0.82/0.97 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Ha. zenon_intro zenon_H219. % 0.82/0.97 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H201. zenon_intro zenon_H21a. % 0.82/0.97 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H202. zenon_intro zenon_H200. % 0.82/0.97 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H76 | zenon_intro zenon_H18f ]. % 0.82/0.97 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H1 | zenon_intro zenon_H8b ]. % 0.82/0.97 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/0.97 apply (zenon_L231_); trivial. % 0.82/0.97 apply (zenon_L208_); trivial. % 0.82/0.97 apply (zenon_L36_); trivial. % 0.82/0.97 apply (zenon_L115_); trivial. % 0.82/0.97 (* end of lemma zenon_L232_ *) % 0.82/0.97 assert (zenon_L233_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))))) -> (~(hskp9)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c0_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp9))) -> (c1_1 (a434)) -> (~(c3_1 (a434))) -> (~(c0_1 (a434))) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(c0_1 (a477))) -> (c3_1 (a477)) -> (~(c2_1 (a477))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.82/0.97 do 0 intro. intros zenon_H187 zenon_H62 zenon_H118 zenon_H10c zenon_H10b zenon_H11a zenon_H9a zenon_H92 zenon_H91 zenon_H66 zenon_H154 zenon_H37 zenon_H39 zenon_H38 zenon_Ha zenon_H152. % 0.82/0.97 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H135 | zenon_intro zenon_H188 ]. % 0.82/0.97 apply (zenon_L167_); trivial. % 0.82/0.97 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H90 | zenon_intro zenon_H168 ]. % 0.82/0.97 apply (zenon_L39_); trivial. % 0.82/0.97 apply (zenon_L171_); trivial. % 0.82/0.97 (* end of lemma zenon_L233_ *) % 0.82/0.97 assert (zenon_L234_ : ((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))))) -> (c2_1 (a428)) -> (~(c1_1 (a428))) -> (~(c0_1 (a428))) -> (~(c3_1 (a403))) -> (~(c2_1 (a403))) -> (~(c0_1 (a403))) -> False). % 0.82/0.97 do 0 intro. intros zenon_H6c zenon_H1ed zenon_Haa zenon_Ha9 zenon_Ha8 zenon_H21f zenon_H21e zenon_H21d. % 0.82/0.97 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_Ha. zenon_intro zenon_H6e. % 0.82/0.97 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_Hf. zenon_intro zenon_H6f. % 0.82/0.97 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.82/0.97 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1ee ]. % 0.82/0.97 apply (zenon_L48_); trivial. % 0.82/0.97 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_Hd | zenon_intro zenon_H66 ]. % 0.82/0.97 apply (zenon_L199_); trivial. % 0.82/0.97 apply (zenon_L26_); trivial. % 0.82/0.97 (* end of lemma zenon_L234_ *) % 0.82/0.97 assert (zenon_L235_ : ((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> (~(c0_1 (a427))) -> (c1_1 (a427)) -> (c2_1 (a427)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (~(c0_1 (a428))) -> (~(c1_1 (a428))) -> (c2_1 (a428)) -> (~(c0_1 (a403))) -> (~(c2_1 (a403))) -> (~(c3_1 (a403))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))))) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(hskp9)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp9))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(c2_1 (a426))) -> (c0_1 (a426)) -> (c1_1 (a426)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> False). % 0.82/0.97 do 0 intro. intros zenon_Ha3 zenon_H18a zenon_Hdd zenon_He0 zenon_He1 zenon_He2 zenon_H100 zenon_H105 zenon_H120 zenon_H2f zenon_Ha8 zenon_Ha9 zenon_Haa zenon_H21d zenon_H21e zenon_H21f zenon_H187 zenon_H152 zenon_H154 zenon_H118 zenon_H62 zenon_H11a zenon_H1ed zenon_H49 zenon_H33 zenon_H1b zenon_H87 zenon_Hfe zenon_H200 zenon_H201 zenon_H202 zenon_H209 zenon_H6a zenon_H4a zenon_H6d zenon_H71 zenon_H8f. % 0.82/0.97 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_Ha. zenon_intro zenon_Ha4. % 0.82/0.97 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H9a. zenon_intro zenon_Ha5. % 0.82/0.97 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H91. zenon_intro zenon_H92. % 0.82/0.97 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/0.97 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/0.97 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.82/0.97 apply (zenon_L165_); trivial. % 0.82/0.97 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_Ha. zenon_intro zenon_H11b. % 0.82/0.97 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10c. zenon_intro zenon_H11c. % 0.82/0.97 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H11d. zenon_intro zenon_H10b. % 0.82/0.97 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.82/0.97 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H2c | zenon_intro zenon_H44 ]. % 0.82/0.97 apply (zenon_L166_); trivial. % 0.82/0.97 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H46. % 0.82/0.97 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H39. zenon_intro zenon_H47. % 0.82/0.97 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.82/0.97 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1ee ]. % 0.82/0.97 apply (zenon_L48_); trivial. % 0.82/0.97 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_Hd | zenon_intro zenon_H66 ]. % 0.82/0.97 apply (zenon_L199_); trivial. % 0.82/0.97 apply (zenon_L233_); trivial. % 0.82/0.97 apply (zenon_L234_); trivial. % 0.82/0.97 apply (zenon_L175_); trivial. % 0.82/0.97 apply (zenon_L76_); trivial. % 0.82/0.97 (* end of lemma zenon_L235_ *) % 0.82/0.97 assert (zenon_L236_ : ((ndr1_0)/\((c0_1 (a426))/\((c1_1 (a426))/\(~(c2_1 (a426)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a428))/\((~(c0_1 (a428)))/\(~(c1_1 (a428))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c0_1 (a403))) -> (~(c2_1 (a403))) -> (~(c3_1 (a403))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16))) -> (~(hskp7)) -> (c3_1 (a404)) -> (c0_1 (a404)) -> (~(c2_1 (a404))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> (~(hskp2)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))))) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp7))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(hskp9)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp9))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434))))))) -> False). % 0.82/0.97 do 0 intro. intros zenon_H218 zenon_H18b zenon_H1d7 zenon_Hdd zenon_H100 zenon_H105 zenon_H21d zenon_H21e zenon_H21f zenon_H1ed zenon_Ha1 zenon_H4e zenon_H4a zenon_H1f4 zenon_H1f3 zenon_H1f2 zenon_H8f zenon_H71 zenon_H6d zenon_H6a zenon_H209 zenon_Hfe zenon_H87 zenon_H1b zenon_H33 zenon_H49 zenon_H187 zenon_H152 zenon_H154 zenon_H13f zenon_H118 zenon_H62 zenon_H11a zenon_H2f zenon_H120 zenon_H79 zenon_H18a zenon_Ha6. % 0.82/0.97 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Ha. zenon_intro zenon_H219. % 0.82/0.97 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H201. zenon_intro zenon_H21a. % 0.82/0.97 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H202. zenon_intro zenon_H200. % 0.82/0.97 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H76 | zenon_intro zenon_H18f ]. % 0.82/0.97 apply (zenon_L179_); trivial. % 0.82/0.97 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Ha. zenon_intro zenon_H190. % 0.82/0.97 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_He1. zenon_intro zenon_H191. % 0.82/0.97 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_He2. zenon_intro zenon_He0. % 0.82/0.97 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H9f | zenon_intro zenon_H1d3 ]. % 0.82/0.97 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H4c | zenon_intro zenon_Ha3 ]. % 0.82/0.97 apply (zenon_L160_); trivial. % 0.82/0.97 apply (zenon_L180_); trivial. % 0.82/0.97 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_Ha. zenon_intro zenon_H1d4. % 0.82/0.97 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_Haa. zenon_intro zenon_H1d5. % 0.82/0.97 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_Ha8. zenon_intro zenon_Ha9. % 0.82/0.97 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H4c | zenon_intro zenon_Ha3 ]. % 0.82/0.97 apply (zenon_L160_); trivial. % 0.82/0.97 apply (zenon_L235_); trivial. % 0.82/0.97 (* end of lemma zenon_L236_ *) % 0.82/0.97 assert (zenon_L237_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a426))/\((c1_1 (a426))/\(~(c2_1 (a426))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a428))/\((~(c0_1 (a428)))/\(~(c1_1 (a428))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c0_1 (a403))) -> (~(c2_1 (a403))) -> (~(c3_1 (a403))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16))) -> (~(hskp7)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> (~(hskp2)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))))) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp7))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp9))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434))))))) -> (ndr1_0) -> (~(c2_1 (a404))) -> (c0_1 (a404)) -> (c3_1 (a404)) -> (~(hskp9)) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp12)\/(hskp9))) -> False). % 0.82/0.98 do 0 intro. intros zenon_H217 zenon_H18b zenon_H1d7 zenon_Hdd zenon_H100 zenon_H105 zenon_H21d zenon_H21e zenon_H21f zenon_H1ed zenon_Ha1 zenon_H4e zenon_H4a zenon_H8f zenon_H71 zenon_H6d zenon_H6a zenon_H209 zenon_Hfe zenon_H87 zenon_H1b zenon_H33 zenon_H49 zenon_H187 zenon_H152 zenon_H154 zenon_H13f zenon_H118 zenon_H11a zenon_H2f zenon_H120 zenon_H79 zenon_H18a zenon_Ha6 zenon_Ha zenon_H1f2 zenon_H1f3 zenon_H1f4 zenon_H62 zenon_H1fd. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.82/0.98 apply (zenon_L159_); trivial. % 0.82/0.98 apply (zenon_L236_); trivial. % 0.82/0.98 (* end of lemma zenon_L237_ *) % 0.82/0.98 assert (zenon_L238_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a418))/\((~(c0_1 (a418)))/\(~(c2_1 (a418))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((hskp8)\/(hskp9))) -> (~(hskp8)) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a426))/\((c1_1 (a426))/\(~(c2_1 (a426))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a428))/\((~(c0_1 (a428)))/\(~(c1_1 (a428))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c0_1 (a403))) -> (~(c2_1 (a403))) -> (~(c3_1 (a403))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16))) -> (~(hskp7)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> (~(hskp2)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp7))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp9))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434))))))) -> (ndr1_0) -> (~(c2_1 (a404))) -> (c0_1 (a404)) -> (c3_1 (a404)) -> (~(hskp9)) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp12)\/(hskp9))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a420)))/\((~(c1_1 (a420)))/\(~(c2_1 (a420))))))) -> False). % 0.82/0.98 do 0 intro. intros zenon_H189 zenon_H64 zenon_H60 zenon_H217 zenon_H18b zenon_H1d7 zenon_Hdd zenon_H100 zenon_H105 zenon_H21d zenon_H21e zenon_H21f zenon_H1ed zenon_Ha1 zenon_H4e zenon_H4a zenon_H8f zenon_H71 zenon_H6d zenon_H6a zenon_H209 zenon_Hfe zenon_H1b zenon_H33 zenon_H49 zenon_H187 zenon_H154 zenon_H13f zenon_H118 zenon_H11a zenon_H2f zenon_H120 zenon_H79 zenon_H18a zenon_Ha6 zenon_Ha zenon_H1f2 zenon_H1f3 zenon_H1f4 zenon_H62 zenon_H1fd zenon_Hc7 zenon_H12d zenon_H18d. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ]. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.82/0.98 apply (zenon_L237_); trivial. % 0.82/0.98 apply (zenon_L91_); trivial. % 0.82/0.98 apply (zenon_L186_); trivial. % 0.82/0.98 (* end of lemma zenon_L238_ *) % 0.82/0.98 assert (zenon_L239_ : (forall X73 : zenon_U, ((ndr1_0)->((~(c1_1 X73))\/((~(c2_1 X73))\/(~(c3_1 X73)))))) -> (ndr1_0) -> (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53)))))) -> (c2_1 (a408)) -> (c3_1 (a408)) -> False). % 0.82/0.98 do 0 intro. intros zenon_H1ab zenon_Ha zenon_Hea zenon_H1db zenon_H1dc. % 0.82/0.98 generalize (zenon_H1ab (a408)). zenon_intro zenon_H22e. % 0.82/0.98 apply (zenon_imply_s _ _ zenon_H22e); [ zenon_intro zenon_H9 | zenon_intro zenon_H22f ]. % 0.82/0.98 exact (zenon_H9 zenon_Ha). % 0.82/0.98 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H1df ]. % 0.82/0.98 generalize (zenon_Hea (a408)). zenon_intro zenon_H230. % 0.82/0.98 apply (zenon_imply_s _ _ zenon_H230); [ zenon_intro zenon_H9 | zenon_intro zenon_H231 ]. % 0.82/0.98 exact (zenon_H9 zenon_Ha). % 0.82/0.98 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H1df ]. % 0.82/0.98 exact (zenon_H1e5 zenon_H1e9). % 0.82/0.98 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e1 ]. % 0.82/0.98 exact (zenon_H1e2 zenon_H1db). % 0.82/0.98 exact (zenon_H1e1 zenon_H1dc). % 0.82/0.98 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1e2 | zenon_intro zenon_H1e1 ]. % 0.82/0.98 exact (zenon_H1e2 zenon_H1db). % 0.82/0.98 exact (zenon_H1e1 zenon_H1dc). % 0.82/0.98 (* end of lemma zenon_L239_ *) % 0.82/0.98 assert (zenon_L240_ : ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((forall X73 : zenon_U, ((ndr1_0)->((~(c1_1 X73))\/((~(c2_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> (c0_1 (a410)) -> (~(c3_1 (a410))) -> (~(c1_1 (a410))) -> (c3_1 (a408)) -> (c2_1 (a408)) -> (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53)))))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.82/0.98 do 0 intro. intros zenon_H1a9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H1dc zenon_H1db zenon_Hea zenon_Ha zenon_H62. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H114 | zenon_intro zenon_H1aa ]. % 0.82/0.98 apply (zenon_L119_); trivial. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H1ab | zenon_intro zenon_H63 ]. % 0.82/0.98 apply (zenon_L239_); trivial. % 0.82/0.98 exact (zenon_H62 zenon_H63). % 0.82/0.98 (* end of lemma zenon_L240_ *) % 0.82/0.98 assert (zenon_L241_ : ((ndr1_0)/\((c0_1 (a430))/\((c2_1 (a430))/\(~(c3_1 (a430)))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a427)) -> (c1_1 (a427)) -> (~(c0_1 (a427))) -> (~(hskp9)) -> (c2_1 (a408)) -> (c3_1 (a408)) -> (~(c1_1 (a410))) -> (~(c3_1 (a410))) -> (c0_1 (a410)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((forall X73 : zenon_U, ((ndr1_0)->((~(c1_1 X73))\/((~(c2_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> False). % 0.82/0.98 do 0 intro. intros zenon_H192 zenon_H105 zenon_He2 zenon_He1 zenon_He0 zenon_H62 zenon_H1db zenon_H1dc zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1a9. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_Ha. zenon_intro zenon_H193. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H14a. zenon_intro zenon_H194. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H14b. zenon_intro zenon_H149. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdf | zenon_intro zenon_H106 ]. % 0.82/0.98 apply (zenon_L61_); trivial. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hea | zenon_intro zenon_H101 ]. % 0.82/0.98 apply (zenon_L240_); trivial. % 0.82/0.98 apply (zenon_L87_); trivial. % 0.82/0.98 (* end of lemma zenon_L241_ *) % 0.82/0.98 assert (zenon_L242_ : ((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a430))/\((c2_1 (a430))/\(~(c3_1 (a430))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c1_1 (a410))) -> (~(c3_1 (a410))) -> (c0_1 (a410)) -> (c2_1 (a408)) -> (c3_1 (a408)) -> (~(hskp9)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((forall X73 : zenon_U, ((ndr1_0)->((~(c1_1 X73))\/((~(c2_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> (~(hskp6)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((hskp15)\/(hskp6))) -> False). % 0.82/0.98 do 0 intro. intros zenon_H18f zenon_H18c zenon_H105 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1db zenon_H1dc zenon_H62 zenon_H1a9 zenon_H131 zenon_H133. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Ha. zenon_intro zenon_H190. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_He1. zenon_intro zenon_H191. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_He2. zenon_intro zenon_He0. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H12f | zenon_intro zenon_H192 ]. % 0.82/0.98 apply (zenon_L81_); trivial. % 0.82/0.98 apply (zenon_L241_); trivial. % 0.82/0.98 (* end of lemma zenon_L242_ *) % 0.82/0.98 assert (zenon_L243_ : ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp1))) -> (c2_1 (a408)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> (~(c0_1 (a408))) -> (c0_1 (a410)) -> (~(c3_1 (a410))) -> (~(c1_1 (a410))) -> (ndr1_0) -> (~(hskp1)) -> False). % 0.82/0.98 do 0 intro. intros zenon_H185 zenon_H1db zenon_Ha7 zenon_H1da zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_Ha zenon_Hc7. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hdf | zenon_intro zenon_H186 ]. % 0.82/0.98 apply (zenon_L151_); trivial. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H114 | zenon_intro zenon_Hc8 ]. % 0.82/0.98 apply (zenon_L119_); trivial. % 0.82/0.98 exact (zenon_Hc7 zenon_Hc8). % 0.82/0.98 (* end of lemma zenon_L243_ *) % 0.82/0.98 assert (zenon_L244_ : ((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))))) -> (~(hskp1)) -> (~(c1_1 (a410))) -> (~(c3_1 (a410))) -> (c0_1 (a410)) -> (~(c0_1 (a408))) -> (c2_1 (a408)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp1))) -> (~(hskp11)) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11))) -> (c3_1 (a416)) -> (~(c0_1 (a416))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp0)\/(hskp11))) -> False). % 0.82/0.98 do 0 intro. intros zenon_H6c zenon_H1ed zenon_Hc7 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1da zenon_H1db zenon_H185 zenon_H87 zenon_H1e zenon_H15c zenon_H138 zenon_H136 zenon_H15b. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_Ha. zenon_intro zenon_H6e. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_Hf. zenon_intro zenon_H6f. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1ee ]. % 0.82/0.98 apply (zenon_L243_); trivial. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_Hd | zenon_intro zenon_H66 ]. % 0.82/0.98 apply (zenon_L93_); trivial. % 0.82/0.98 apply (zenon_L26_); trivial. % 0.82/0.98 (* end of lemma zenon_L244_ *) % 0.82/0.98 assert (zenon_L245_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a440))/\((~(c2_1 (a440)))/\(~(c3_1 (a440))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((hskp2)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a416)) -> (~(c0_1 (a416))) -> (~(hskp0)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp0)\/(hskp11))) -> (~(c0_1 (a408))) -> (c2_1 (a408)) -> (~(c1_1 (a410))) -> (~(c3_1 (a410))) -> (c0_1 (a410)) -> (~(hskp1)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp1))) -> ((hskp18)\/((hskp20)\/(hskp23))) -> (~(hskp2)) -> (~(hskp13)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> False). % 0.82/0.98 do 0 intro. intros zenon_H8e zenon_H89 zenon_H71 zenon_H1ed zenon_H15c zenon_H87 zenon_H138 zenon_H136 zenon_H1e zenon_H15b zenon_H1da zenon_H1db zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_Hc7 zenon_H185 zenon_H7 zenon_H6a zenon_H76 zenon_H79 zenon_H8f. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H1 | zenon_intro zenon_H8b ]. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.82/0.98 apply (zenon_L4_); trivial. % 0.82/0.98 apply (zenon_L244_); trivial. % 0.82/0.98 apply (zenon_L32_); trivial. % 0.82/0.98 apply (zenon_L36_); trivial. % 0.82/0.98 (* end of lemma zenon_L245_ *) % 0.82/0.98 assert (zenon_L246_ : ((ndr1_0)/\((c3_1 (a416))/\((~(c0_1 (a416)))/\(~(c1_1 (a416)))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a420)))/\((~(c1_1 (a420)))/\(~(c2_1 (a420))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a440))/\((~(c2_1 (a440)))/\(~(c3_1 (a440))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((hskp2)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11))) -> (~(hskp0)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp0)\/(hskp11))) -> (~(c0_1 (a408))) -> (c2_1 (a408)) -> (~(c1_1 (a410))) -> (~(c3_1 (a410))) -> (c0_1 (a410)) -> (~(hskp1)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp1))) -> ((hskp18)\/((hskp20)\/(hskp23))) -> (~(hskp2)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427))))))) -> False). % 0.82/0.98 do 0 intro. intros zenon_H1b6 zenon_H18d zenon_H12d zenon_H8e zenon_H89 zenon_H71 zenon_H1ed zenon_H15c zenon_H1e zenon_H15b zenon_H1da zenon_H1db zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_Hc7 zenon_H185 zenon_H7 zenon_H6a zenon_H79 zenon_H8f zenon_H18b. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_Ha. zenon_intro zenon_H1b7. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H138. zenon_intro zenon_H1b8. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H76 | zenon_intro zenon_H18f ]. % 0.82/0.98 apply (zenon_L245_); trivial. % 0.82/0.98 apply (zenon_L121_); trivial. % 0.82/0.98 apply (zenon_L91_); trivial. % 0.82/0.98 (* end of lemma zenon_L246_ *) % 0.82/0.98 assert (zenon_L247_ : ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (ndr1_0) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39)))))) -> (~(hskp7)) -> (~(hskp16)) -> False). % 0.82/0.98 do 0 intro. intros zenon_H4e zenon_H232 zenon_H233 zenon_H234 zenon_Ha zenon_H114 zenon_H4a zenon_H4c. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H4e); [ zenon_intro zenon_H54 | zenon_intro zenon_H53 ]. % 0.82/0.98 generalize (zenon_H114 (a402)). zenon_intro zenon_H235. % 0.82/0.98 apply (zenon_imply_s _ _ zenon_H235); [ zenon_intro zenon_H9 | zenon_intro zenon_H236 ]. % 0.82/0.98 exact (zenon_H9 zenon_Ha). % 0.82/0.98 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H238 | zenon_intro zenon_H237 ]. % 0.82/0.98 exact (zenon_H234 zenon_H238). % 0.82/0.98 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H23a | zenon_intro zenon_H239 ]. % 0.82/0.98 generalize (zenon_H54 (a402)). zenon_intro zenon_H23b. % 0.82/0.98 apply (zenon_imply_s _ _ zenon_H23b); [ zenon_intro zenon_H9 | zenon_intro zenon_H23c ]. % 0.82/0.98 exact (zenon_H9 zenon_Ha). % 0.82/0.98 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H23e | zenon_intro zenon_H23d ]. % 0.82/0.98 exact (zenon_H233 zenon_H23e). % 0.82/0.98 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H239 | zenon_intro zenon_H23f ]. % 0.82/0.98 exact (zenon_H239 zenon_H232). % 0.82/0.98 exact (zenon_H23f zenon_H23a). % 0.82/0.98 exact (zenon_H239 zenon_H232). % 0.82/0.98 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H4b | zenon_intro zenon_H4d ]. % 0.82/0.98 exact (zenon_H4a zenon_H4b). % 0.82/0.98 exact (zenon_H4c zenon_H4d). % 0.82/0.98 (* end of lemma zenon_L247_ *) % 0.82/0.98 assert (zenon_L248_ : ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp12)\/(hskp1))) -> (~(hskp16)) -> (~(hskp7)) -> (ndr1_0) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16))) -> (~(hskp12)) -> (~(hskp1)) -> False). % 0.82/0.98 do 0 intro. intros zenon_H226 zenon_H4c zenon_H4a zenon_Ha zenon_H234 zenon_H233 zenon_H232 zenon_H4e zenon_H1fb zenon_Hc7. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H114 | zenon_intro zenon_H227 ]. % 0.82/0.98 apply (zenon_L247_); trivial. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1fc | zenon_intro zenon_Hc8 ]. % 0.82/0.98 exact (zenon_H1fb zenon_H1fc). % 0.82/0.98 exact (zenon_Hc7 zenon_Hc8). % 0.82/0.98 (* end of lemma zenon_L248_ *) % 0.82/0.98 assert (zenon_L249_ : (forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12)))))) -> (ndr1_0) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> False). % 0.82/0.98 do 0 intro. intros zenon_H240 zenon_Ha zenon_H234 zenon_H233 zenon_H232. % 0.82/0.98 generalize (zenon_H240 (a402)). zenon_intro zenon_H241. % 0.82/0.98 apply (zenon_imply_s _ _ zenon_H241); [ zenon_intro zenon_H9 | zenon_intro zenon_H242 ]. % 0.82/0.98 exact (zenon_H9 zenon_Ha). % 0.82/0.98 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H238 | zenon_intro zenon_H243 ]. % 0.82/0.98 exact (zenon_H234 zenon_H238). % 0.82/0.98 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H23e | zenon_intro zenon_H239 ]. % 0.82/0.98 exact (zenon_H233 zenon_H23e). % 0.82/0.98 exact (zenon_H239 zenon_H232). % 0.82/0.98 (* end of lemma zenon_L249_ *) % 0.82/0.98 assert (zenon_L250_ : ((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((hskp8)\/(hskp9))) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(hskp9))) -> (~(hskp8)) -> (~(hskp9)) -> False). % 0.82/0.98 do 0 intro. intros zenon_Ha3 zenon_H64 zenon_H234 zenon_H233 zenon_H232 zenon_H244 zenon_H60 zenon_H62. % 0.82/0.98 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_Ha. zenon_intro zenon_Ha4. % 0.82/0.98 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H9a. zenon_intro zenon_Ha5. % 0.82/0.98 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H91. zenon_intro zenon_H92. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H51 | zenon_intro zenon_H65 ]. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H90 | zenon_intro zenon_H245 ]. % 0.82/0.98 apply (zenon_L51_); trivial. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H240 | zenon_intro zenon_H63 ]. % 0.82/0.98 apply (zenon_L249_); trivial. % 0.82/0.98 exact (zenon_H62 zenon_H63). % 0.82/0.98 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H61 | zenon_intro zenon_H63 ]. % 0.82/0.98 exact (zenon_H60 zenon_H61). % 0.82/0.98 exact (zenon_H62 zenon_H63). % 0.82/0.98 (* end of lemma zenon_L250_ *) % 0.82/0.98 assert (zenon_L251_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((hskp8)\/(hskp9))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(hskp9))) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16))) -> (~(hskp7)) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (ndr1_0) -> (~(hskp12)) -> (~(hskp1)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp12)\/(hskp1))) -> False). % 0.82/0.98 do 0 intro. intros zenon_Ha6 zenon_H64 zenon_H60 zenon_H62 zenon_H244 zenon_H4e zenon_H4a zenon_H232 zenon_H233 zenon_H234 zenon_Ha zenon_H1fb zenon_Hc7 zenon_H226. % 0.82/0.98 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H4c | zenon_intro zenon_Ha3 ]. % 0.82/0.98 apply (zenon_L248_); trivial. % 0.82/0.98 apply (zenon_L250_); trivial. % 0.82/0.98 (* end of lemma zenon_L251_ *) % 0.82/0.98 assert (zenon_L252_ : ((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (c1_1 (a426)) -> (c0_1 (a426)) -> (~(c2_1 (a426))) -> False). % 0.82/0.98 do 0 intro. intros zenon_H2e zenon_H246 zenon_H232 zenon_H233 zenon_H234 zenon_H202 zenon_H201 zenon_H200. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_Ha. zenon_intro zenon_H30. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H21. zenon_intro zenon_H31. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H22. zenon_intro zenon_H23. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H240 | zenon_intro zenon_H247 ]. % 0.82/0.98 apply (zenon_L249_); trivial. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1ff | zenon_intro zenon_H20 ]. % 0.82/0.98 apply (zenon_L161_); trivial. % 0.82/0.98 apply (zenon_L10_); trivial. % 0.82/0.98 (* end of lemma zenon_L252_ *) % 0.82/0.98 assert (zenon_L253_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (ndr1_0) -> (~(c2_1 (a426))) -> (c0_1 (a426)) -> (c1_1 (a426)) -> (~(hskp23)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> False). % 0.82/0.98 do 0 intro. intros zenon_H33 zenon_H246 zenon_H232 zenon_H233 zenon_H234 zenon_Ha zenon_H200 zenon_H201 zenon_H202 zenon_H5 zenon_H209. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H1c | zenon_intro zenon_H2e ]. % 0.82/0.98 apply (zenon_L162_); trivial. % 0.82/0.98 apply (zenon_L252_); trivial. % 0.82/0.98 (* end of lemma zenon_L253_ *) % 0.82/0.98 assert (zenon_L254_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp5)\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> (~(hskp0)) -> (~(hskp20)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (c1_1 (a426)) -> (c0_1 (a426)) -> (~(c2_1 (a426))) -> (ndr1_0) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> False). % 0.82/0.98 do 0 intro. intros zenon_H71 zenon_H49 zenon_H45 zenon_H42 zenon_H40 zenon_H34 zenon_H1e zenon_H3 zenon_H1b zenon_H2a zenon_H2f zenon_H209 zenon_H202 zenon_H201 zenon_H200 zenon_Ha zenon_H234 zenon_H233 zenon_H232 zenon_H246 zenon_H33. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.82/0.98 apply (zenon_L253_); trivial. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_Ha. zenon_intro zenon_H6e. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_Hf. zenon_intro zenon_H6f. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.82/0.98 apply (zenon_L19_); trivial. % 0.82/0.98 (* end of lemma zenon_L254_ *) % 0.82/0.98 assert (zenon_L255_ : ((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c1_1 (a426)) -> (c0_1 (a426)) -> (~(c2_1 (a426))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (~(hskp9)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> False). % 0.82/0.98 do 0 intro. intros zenon_H11f zenon_H33 zenon_H246 zenon_H202 zenon_H201 zenon_H200 zenon_H232 zenon_H233 zenon_H234 zenon_H62 zenon_Hdd. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Ha. zenon_intro zenon_H121. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Hd5. zenon_intro zenon_H122. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_Hd6. zenon_intro zenon_Hd4. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H1c | zenon_intro zenon_H2e ]. % 0.82/0.98 apply (zenon_L60_); trivial. % 0.82/0.98 apply (zenon_L252_); trivial. % 0.82/0.98 (* end of lemma zenon_L255_ *) % 0.82/0.98 assert (zenon_L256_ : ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(hskp9))) -> (c1_1 (a434)) -> (~(c3_1 (a434))) -> (~(c0_1 (a434))) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.82/0.98 do 0 intro. intros zenon_H244 zenon_H9a zenon_H92 zenon_H91 zenon_H66 zenon_H232 zenon_H233 zenon_H234 zenon_Ha zenon_H62. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H90 | zenon_intro zenon_H245 ]. % 0.82/0.98 apply (zenon_L39_); trivial. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H240 | zenon_intro zenon_H63 ]. % 0.82/0.98 apply (zenon_L249_); trivial. % 0.82/0.98 exact (zenon_H62 zenon_H63). % 0.82/0.98 (* end of lemma zenon_L256_ *) % 0.82/0.98 assert (zenon_L257_ : ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp28)\/(hskp4))) -> (~(hskp9)) -> (ndr1_0) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> (~(c0_1 (a434))) -> (~(c3_1 (a434))) -> (c1_1 (a434)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(hskp9))) -> (~(hskp28)) -> (~(hskp4)) -> False). % 0.82/0.98 do 0 intro. intros zenon_H248 zenon_H62 zenon_Ha zenon_H234 zenon_H233 zenon_H232 zenon_H91 zenon_H92 zenon_H9a zenon_H244 zenon_H16b zenon_Hcf. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H66 | zenon_intro zenon_H249 ]. % 0.82/0.98 apply (zenon_L256_); trivial. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H16c | zenon_intro zenon_Hd0 ]. % 0.82/0.98 exact (zenon_H16b zenon_H16c). % 0.82/0.98 exact (zenon_Hcf zenon_Hd0). % 0.82/0.98 (* end of lemma zenon_L257_ *) % 0.82/0.98 assert (zenon_L258_ : ((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414))))) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp4)\/(hskp9))) -> (~(hskp4)) -> (~(hskp9)) -> False). % 0.82/0.98 do 0 intro. intros zenon_H178 zenon_H24a zenon_Hcf zenon_H62. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_Ha. zenon_intro zenon_H179. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H16f. zenon_intro zenon_H17a. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H24b ]. % 0.82/0.98 apply (zenon_L103_); trivial. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H63 ]. % 0.82/0.98 exact (zenon_Hcf zenon_Hd0). % 0.82/0.98 exact (zenon_H62 zenon_H63). % 0.82/0.98 (* end of lemma zenon_L258_ *) % 0.82/0.98 assert (zenon_L259_ : ((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp4)\/(hskp9))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (~(hskp4)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp28)\/(hskp4))) -> False). % 0.82/0.98 do 0 intro. intros zenon_Ha3 zenon_H17b zenon_H24a zenon_H244 zenon_H62 zenon_H232 zenon_H233 zenon_H234 zenon_Hcf zenon_H248. % 0.82/0.98 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_Ha. zenon_intro zenon_Ha4. % 0.82/0.98 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H9a. zenon_intro zenon_Ha5. % 0.82/0.98 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H91. zenon_intro zenon_H92. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H16b | zenon_intro zenon_H178 ]. % 0.82/0.98 apply (zenon_L257_); trivial. % 0.82/0.98 apply (zenon_L258_); trivial. % 0.82/0.98 (* end of lemma zenon_L259_ *) % 0.82/0.98 assert (zenon_L260_ : ((ndr1_0)/\((c0_1 (a426))/\((c1_1 (a426))/\(~(c2_1 (a426)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a416)) -> (~(c1_1 (a416))) -> (~(c0_1 (a416))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> False). % 0.82/0.98 do 0 intro. intros zenon_H218 zenon_H71 zenon_H13f zenon_H4a zenon_H138 zenon_H137 zenon_H136 zenon_H209 zenon_H234 zenon_H233 zenon_H232 zenon_H246 zenon_H33. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Ha. zenon_intro zenon_H219. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H201. zenon_intro zenon_H21a. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H202. zenon_intro zenon_H200. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.82/0.98 apply (zenon_L253_); trivial. % 0.82/0.98 apply (zenon_L83_); trivial. % 0.82/0.98 (* end of lemma zenon_L260_ *) % 0.82/0.98 assert (zenon_L261_ : ((ndr1_0)/\((c3_1 (a416))/\((~(c0_1 (a416)))/\(~(c1_1 (a416)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a426))/\((c1_1 (a426))/\(~(c2_1 (a426))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp12)\/(hskp1))) -> (~(hskp1)) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> (~(hskp7)) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp7))) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp6))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434))))))) -> False). % 0.82/0.98 do 0 intro. intros zenon_H1b6 zenon_H217 zenon_H71 zenon_H209 zenon_H246 zenon_H33 zenon_H226 zenon_Hc7 zenon_H234 zenon_H233 zenon_H232 zenon_H4a zenon_H4e zenon_H13f zenon_H131 zenon_H21b zenon_Ha6. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_Ha. zenon_intro zenon_H1b7. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H138. zenon_intro zenon_H1b8. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.82/0.98 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H4c | zenon_intro zenon_Ha3 ]. % 0.82/0.98 apply (zenon_L248_); trivial. % 0.82/0.98 apply (zenon_L188_); trivial. % 0.82/0.98 apply (zenon_L260_); trivial. % 0.82/0.98 (* end of lemma zenon_L261_ *) % 0.82/0.98 assert (zenon_L262_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp4)\/(hskp9))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp4)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp28)\/(hskp4))) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16))) -> (~(hskp7)) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (ndr1_0) -> (~(hskp12)) -> (~(hskp1)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp12)\/(hskp1))) -> False). % 0.82/0.98 do 0 intro. intros zenon_Ha6 zenon_H17b zenon_H24a zenon_H244 zenon_H62 zenon_Hcf zenon_H248 zenon_H4e zenon_H4a zenon_H232 zenon_H233 zenon_H234 zenon_Ha zenon_H1fb zenon_Hc7 zenon_H226. % 0.82/0.98 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H4c | zenon_intro zenon_Ha3 ]. % 0.82/0.98 apply (zenon_L248_); trivial. % 0.82/0.98 apply (zenon_L259_); trivial. % 0.82/0.98 (* end of lemma zenon_L262_ *) % 0.82/0.98 assert (zenon_L263_ : (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> (~(c1_1 (a415))) -> False). % 0.82/0.98 do 0 intro. intros zenon_Ha7 zenon_Ha zenon_Hf3 zenon_H198 zenon_H199 zenon_H197. % 0.82/0.98 generalize (zenon_Ha7 (a415)). zenon_intro zenon_H1bd. % 0.82/0.98 apply (zenon_imply_s _ _ zenon_H1bd); [ zenon_intro zenon_H9 | zenon_intro zenon_H1be ]. % 0.82/0.98 exact (zenon_H9 zenon_Ha). % 0.82/0.98 apply (zenon_or_s _ _ zenon_H1be); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H1bf ]. % 0.82/0.98 generalize (zenon_Hf3 (a415)). zenon_intro zenon_H24c. % 0.82/0.98 apply (zenon_imply_s _ _ zenon_H24c); [ zenon_intro zenon_H9 | zenon_intro zenon_H24d ]. % 0.82/0.98 exact (zenon_H9 zenon_Ha). % 0.82/0.98 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1bc | zenon_intro zenon_H19c ]. % 0.82/0.98 exact (zenon_H1bc zenon_H1c0). % 0.82/0.98 apply (zenon_or_s _ _ zenon_H19c); [ zenon_intro zenon_H19f | zenon_intro zenon_H19e ]. % 0.82/0.98 exact (zenon_H19f zenon_H198). % 0.82/0.98 exact (zenon_H19e zenon_H199). % 0.82/0.98 apply (zenon_or_s _ _ zenon_H1bf); [ zenon_intro zenon_H19d | zenon_intro zenon_H19f ]. % 0.82/0.98 exact (zenon_H197 zenon_H19d). % 0.82/0.98 exact (zenon_H19f zenon_H198). % 0.82/0.98 (* end of lemma zenon_L263_ *) % 0.82/0.98 assert (zenon_L264_ : ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(c1_1 (a415))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (ndr1_0) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> (~(hskp22)) -> (~(hskp11)) -> False). % 0.82/0.98 do 0 intro. intros zenon_Hfe zenon_H197 zenon_H199 zenon_H198 zenon_Ha zenon_Ha7 zenon_Hfc zenon_H87. % 0.82/0.98 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hff ]. % 0.82/0.98 apply (zenon_L263_); trivial. % 0.82/0.98 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_Hfd | zenon_intro zenon_H88 ]. % 0.82/0.98 exact (zenon_Hfc zenon_Hfd). % 0.82/0.98 exact (zenon_H87 zenon_H88). % 0.82/0.98 (* end of lemma zenon_L264_ *) % 0.82/0.98 assert (zenon_L265_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp26)\/(hskp5))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (~(c1_1 (a415))) -> (ndr1_0) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (~(hskp26)) -> (~(hskp5)) -> False). % 0.82/0.98 do 0 intro. intros zenon_Hb3 zenon_H199 zenon_H198 zenon_H197 zenon_Ha zenon_H10a zenon_Hb1 zenon_H40. % 0.82/0.98 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hb4 ]. % 0.82/0.98 apply (zenon_L124_); trivial. % 0.82/0.98 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H41 ]. % 0.82/0.98 exact (zenon_Hb1 zenon_Hb2). % 0.82/0.98 exact (zenon_H40 zenon_H41). % 0.82/0.98 (* end of lemma zenon_L265_ *) % 0.82/0.98 assert (zenon_L266_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp11)) -> (~(hskp22)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp26)\/(hskp5))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (~(c1_1 (a415))) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp5)) -> False). % 0.82/0.98 do 0 intro. intros zenon_H24e zenon_H87 zenon_Hfc zenon_Hfe zenon_H232 zenon_H233 zenon_H234 zenon_Hb3 zenon_H199 zenon_H198 zenon_H197 zenon_Ha zenon_Hb1 zenon_H40. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H24f ]. % 0.82/0.98 apply (zenon_L264_); trivial. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H240 | zenon_intro zenon_H10a ]. % 0.82/0.98 apply (zenon_L249_); trivial. % 0.82/0.98 apply (zenon_L265_); trivial. % 0.82/0.98 (* end of lemma zenon_L266_ *) % 0.82/0.98 assert (zenon_L267_ : (forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))) -> (ndr1_0) -> (forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56)))))) -> (c1_1 (a407)) -> (c3_1 (a407)) -> (c2_1 (a407)) -> False). % 0.82/0.98 do 0 intro. intros zenon_H20 zenon_Ha zenon_Hd3 zenon_Hbb zenon_Hba zenon_Hb9. % 0.82/0.98 generalize (zenon_H20 (a407)). zenon_intro zenon_Hbc. % 0.82/0.98 apply (zenon_imply_s _ _ zenon_Hbc); [ zenon_intro zenon_H9 | zenon_intro zenon_Hbd ]. % 0.82/0.98 exact (zenon_H9 zenon_Ha). % 0.82/0.98 apply (zenon_or_s _ _ zenon_Hbd); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hbe ]. % 0.82/0.98 generalize (zenon_Hd3 (a407)). zenon_intro zenon_H250. % 0.82/0.98 apply (zenon_imply_s _ _ zenon_H250); [ zenon_intro zenon_H9 | zenon_intro zenon_H251 ]. % 0.82/0.98 exact (zenon_H9 zenon_Ha). % 0.82/0.98 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H252 ]. % 0.82/0.98 exact (zenon_Hbf zenon_Hc3). % 0.82/0.98 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc4 ]. % 0.82/0.98 exact (zenon_Hc6 zenon_Hbb). % 0.82/0.98 exact (zenon_Hc4 zenon_Hba). % 0.82/0.98 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc5 ]. % 0.82/0.98 exact (zenon_Hc6 zenon_Hbb). % 0.82/0.98 exact (zenon_Hc5 zenon_Hb9). % 0.82/0.98 (* end of lemma zenon_L267_ *) % 0.82/0.98 assert (zenon_L268_ : ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (c1_1 (a426)) -> (c0_1 (a426)) -> (~(c2_1 (a426))) -> (ndr1_0) -> (forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56)))))) -> (c1_1 (a407)) -> (c3_1 (a407)) -> (c2_1 (a407)) -> False). % 0.82/0.98 do 0 intro. intros zenon_H246 zenon_H232 zenon_H233 zenon_H234 zenon_H202 zenon_H201 zenon_H200 zenon_Ha zenon_Hd3 zenon_Hbb zenon_Hba zenon_Hb9. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H240 | zenon_intro zenon_H247 ]. % 0.82/0.98 apply (zenon_L249_); trivial. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1ff | zenon_intro zenon_H20 ]. % 0.82/0.98 apply (zenon_L161_); trivial. % 0.82/0.98 apply (zenon_L267_); trivial. % 0.82/0.98 (* end of lemma zenon_L268_ *) % 0.82/0.98 assert (zenon_L269_ : ((ndr1_0)/\((c1_1 (a407))/\((c2_1 (a407))/\(c3_1 (a407))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c1_1 (a426)) -> (c0_1 (a426)) -> (~(c2_1 (a426))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (~(hskp9)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> False). % 0.82/0.98 do 0 intro. intros zenon_Hc9 zenon_H33 zenon_H246 zenon_H202 zenon_H201 zenon_H200 zenon_H232 zenon_H233 zenon_H234 zenon_H62 zenon_Hdd. % 0.82/0.98 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 0.82/0.98 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 0.82/0.98 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H1c | zenon_intro zenon_H2e ]. % 0.82/0.98 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hde ]. % 0.82/0.98 apply (zenon_L268_); trivial. % 0.82/0.98 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H1d | zenon_intro zenon_H63 ]. % 0.82/0.98 exact (zenon_H1c zenon_H1d). % 0.82/0.98 exact (zenon_H62 zenon_H63). % 0.82/0.98 apply (zenon_L252_); trivial. % 0.82/0.98 (* end of lemma zenon_L269_ *) % 0.82/0.98 assert (zenon_L270_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a407))/\((c2_1 (a407))/\(c3_1 (a407)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c1_1 (a426)) -> (c0_1 (a426)) -> (~(c2_1 (a426))) -> (~(hskp9)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(hskp22)) -> (~(c1_1 (a415))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (ndr1_0) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp26)\/(hskp5))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> False). % 0.82/0.98 do 0 intro. intros zenon_Hce zenon_H33 zenon_H246 zenon_H202 zenon_H201 zenon_H200 zenon_H62 zenon_Hdd zenon_Hfe zenon_H87 zenon_Hfc zenon_H197 zenon_H199 zenon_H198 zenon_Ha zenon_H234 zenon_H233 zenon_H232 zenon_Hb3 zenon_H40 zenon_H24e. % 0.82/0.98 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hc9 ]. % 0.82/0.98 apply (zenon_L266_); trivial. % 0.82/0.98 apply (zenon_L269_); trivial. % 0.82/0.98 (* end of lemma zenon_L270_ *) % 0.82/0.98 assert (zenon_L271_ : (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))) -> (ndr1_0) -> (~(c1_1 (a451))) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (c0_1 (a451)) -> (c2_1 (a451)) -> False). % 0.82/0.98 do 0 intro. intros zenon_He9 zenon_Ha zenon_H10b zenon_H10a zenon_H10c zenon_H11d. % 0.82/0.98 generalize (zenon_He9 (a451)). zenon_intro zenon_H253. % 0.82/0.98 apply (zenon_imply_s _ _ zenon_H253); [ zenon_intro zenon_H9 | zenon_intro zenon_H254 ]. % 0.82/0.98 exact (zenon_H9 zenon_Ha). % 0.82/0.98 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H111 | zenon_intro zenon_H255 ]. % 0.82/0.98 exact (zenon_H10b zenon_H111). % 0.82/0.98 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H10d | zenon_intro zenon_H180 ]. % 0.82/0.98 apply (zenon_L72_); trivial. % 0.82/0.98 exact (zenon_H180 zenon_H11d). % 0.82/0.98 (* end of lemma zenon_L271_ *) % 0.82/0.98 assert (zenon_L272_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a415))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))) -> (ndr1_0) -> (~(c1_1 (a451))) -> (c0_1 (a451)) -> (c2_1 (a451)) -> False). % 0.82/0.98 do 0 intro. intros zenon_H24e zenon_H197 zenon_H199 zenon_H198 zenon_Hf3 zenon_H232 zenon_H233 zenon_H234 zenon_He9 zenon_Ha zenon_H10b zenon_H10c zenon_H11d. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H24f ]. % 0.82/0.98 apply (zenon_L263_); trivial. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H240 | zenon_intro zenon_H10a ]. % 0.82/0.98 apply (zenon_L249_); trivial. % 0.82/0.98 apply (zenon_L271_); trivial. % 0.82/0.98 (* end of lemma zenon_L272_ *) % 0.82/0.98 assert (zenon_L273_ : ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp3))) -> (c2_1 (a451)) -> (c0_1 (a451)) -> (~(c1_1 (a451))) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> (c2_1 (a415)) -> (c3_1 (a415)) -> (~(c1_1 (a415))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp3)) -> False). % 0.82/0.98 do 0 intro. intros zenon_H256 zenon_H11d zenon_H10c zenon_H10b zenon_Ha zenon_He9 zenon_H234 zenon_H233 zenon_H232 zenon_H198 zenon_H199 zenon_H197 zenon_H24e zenon_H42. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H17c | zenon_intro zenon_H257 ]. % 0.82/0.98 apply (zenon_L106_); trivial. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H43 ]. % 0.82/0.98 apply (zenon_L272_); trivial. % 0.82/0.98 exact (zenon_H42 zenon_H43). % 0.82/0.98 (* end of lemma zenon_L273_ *) % 0.82/0.98 assert (zenon_L274_ : ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> (c1_1 (a460)) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (ndr1_0) -> (forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))) -> (~(hskp27)) -> (~(hskp0)) -> False). % 0.82/0.98 do 0 intro. intros zenon_H34 zenon_Hf zenon_He zenon_Hc zenon_Ha zenon_Hb zenon_H1c zenon_H1e. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_Hd | zenon_intro zenon_H35 ]. % 0.82/0.98 apply (zenon_L6_); trivial. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H1f ]. % 0.82/0.98 exact (zenon_H1c zenon_H1d). % 0.82/0.98 exact (zenon_H1e zenon_H1f). % 0.82/0.98 (* end of lemma zenon_L274_ *) % 0.82/0.98 assert (zenon_L275_ : ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (c1_1 (a460)) -> (~(hskp27)) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> (ndr1_0) -> (~(c1_1 (a451))) -> (c0_1 (a451)) -> (c2_1 (a451)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (~(c1_1 (a415))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp3))) -> False). % 0.82/0.98 do 0 intro. intros zenon_H100 zenon_Hc zenon_He zenon_Hf zenon_H1c zenon_H1e zenon_H34 zenon_Ha zenon_H10b zenon_H10c zenon_H11d zenon_H24e zenon_H232 zenon_H233 zenon_H234 zenon_H197 zenon_H199 zenon_H198 zenon_H42 zenon_H256. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_He9 | zenon_intro zenon_Hb ]. % 0.82/0.98 apply (zenon_L273_); trivial. % 0.82/0.98 apply (zenon_L274_); trivial. % 0.82/0.98 (* end of lemma zenon_L275_ *) % 0.82/0.98 assert (zenon_L276_ : ((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a415)) -> (c3_1 (a415)) -> (~(c1_1 (a415))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (c1_1 (a426)) -> (c0_1 (a426)) -> (~(c2_1 (a426))) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> False). % 0.82/0.98 do 0 intro. intros zenon_H119 zenon_H71 zenon_H256 zenon_H42 zenon_H198 zenon_H199 zenon_H197 zenon_H24e zenon_H34 zenon_H1e zenon_H100 zenon_H209 zenon_H202 zenon_H201 zenon_H200 zenon_H234 zenon_H233 zenon_H232 zenon_H246 zenon_H33. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_Ha. zenon_intro zenon_H11b. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10c. zenon_intro zenon_H11c. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H11d. zenon_intro zenon_H10b. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.82/0.98 apply (zenon_L253_); trivial. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_Ha. zenon_intro zenon_H6e. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_Hf. zenon_intro zenon_H6f. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H1c | zenon_intro zenon_H2e ]. % 0.82/0.98 apply (zenon_L275_); trivial. % 0.82/0.98 apply (zenon_L252_); trivial. % 0.82/0.98 (* end of lemma zenon_L276_ *) % 0.82/0.98 assert (zenon_L277_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp26)\/(hskp5))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (~(c1_1 (a415))) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp5)) -> False). % 0.82/0.98 do 0 intro. intros zenon_H24e zenon_Hf3 zenon_H232 zenon_H233 zenon_H234 zenon_Hb3 zenon_H199 zenon_H198 zenon_H197 zenon_Ha zenon_Hb1 zenon_H40. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H24f ]. % 0.82/0.98 apply (zenon_L263_); trivial. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H240 | zenon_intro zenon_H10a ]. % 0.82/0.98 apply (zenon_L249_); trivial. % 0.82/0.98 apply (zenon_L265_); trivial. % 0.82/0.98 (* end of lemma zenon_L277_ *) % 0.82/0.98 assert (zenon_L278_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c2_1 (a420))) -> (~(c1_1 (a420))) -> (~(c0_1 (a420))) -> (~(hskp0)) -> (~(hskp27)) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (c1_1 (a460)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp26)\/(hskp5))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (~(c1_1 (a415))) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp5)) -> False). % 0.82/0.98 do 0 intro. intros zenon_H258 zenon_H126 zenon_H125 zenon_H124 zenon_H1e zenon_H1c zenon_Hc zenon_He zenon_Hf zenon_H34 zenon_H24e zenon_H232 zenon_H233 zenon_H234 zenon_Hb3 zenon_H199 zenon_H198 zenon_H197 zenon_Ha zenon_Hb1 zenon_H40. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H123 | zenon_intro zenon_H259 ]. % 0.82/0.98 apply (zenon_L77_); trivial. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_Hb | zenon_intro zenon_Hf3 ]. % 0.82/0.98 apply (zenon_L274_); trivial. % 0.82/0.98 apply (zenon_L277_); trivial. % 0.82/0.98 (* end of lemma zenon_L278_ *) % 0.82/0.98 assert (zenon_L279_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c1_1 (a426)) -> (c0_1 (a426)) -> (~(c2_1 (a426))) -> (ndr1_0) -> (~(c0_1 (a420))) -> (~(c1_1 (a420))) -> (~(c2_1 (a420))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> (~(hskp0)) -> (c1_1 (a460)) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp26)) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp26)\/(hskp5))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (~(c1_1 (a415))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> False). % 0.82/0.98 do 0 intro. intros zenon_H33 zenon_H246 zenon_H202 zenon_H201 zenon_H200 zenon_Ha zenon_H124 zenon_H125 zenon_H126 zenon_H34 zenon_H1e zenon_Hf zenon_He zenon_Hc zenon_H24e zenon_Hb1 zenon_H40 zenon_Hb3 zenon_H232 zenon_H233 zenon_H234 zenon_H197 zenon_H199 zenon_H198 zenon_H258. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H1c | zenon_intro zenon_H2e ]. % 0.82/0.98 apply (zenon_L278_); trivial. % 0.82/0.98 apply (zenon_L252_); trivial. % 0.82/0.98 (* end of lemma zenon_L279_ *) % 0.82/0.98 assert (zenon_L280_ : ((ndr1_0)/\((c1_1 (a407))/\((c2_1 (a407))/\(c3_1 (a407))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp0))) -> (~(c2_1 (a420))) -> (~(c1_1 (a420))) -> (~(c0_1 (a420))) -> (~(hskp24)) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (~(hskp0)) -> False). % 0.82/0.98 do 0 intro. intros zenon_Hc9 zenon_H1e3 zenon_H126 zenon_H125 zenon_H124 zenon_H2c zenon_H2a zenon_H2f zenon_H1e. % 0.82/0.98 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 0.82/0.98 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 0.82/0.98 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H123 | zenon_intro zenon_H1e4 ]. % 0.82/0.98 apply (zenon_L77_); trivial. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H1f ]. % 0.82/0.98 apply (zenon_L53_); trivial. % 0.82/0.98 exact (zenon_H1e zenon_H1f). % 0.82/0.98 (* end of lemma zenon_L280_ *) % 0.82/0.98 assert (zenon_L281_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a407))/\((c2_1 (a407))/\(c3_1 (a407)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp19)) -> (~(hskp24)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> (~(c1_1 (a415))) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp26)\/(hskp5))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (c1_1 (a460)) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> (~(c2_1 (a420))) -> (~(c1_1 (a420))) -> (~(c0_1 (a420))) -> (ndr1_0) -> (~(c2_1 (a426))) -> (c0_1 (a426)) -> (c1_1 (a426)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> False). % 0.82/0.98 do 0 intro. intros zenon_Hce zenon_H1e3 zenon_H2a zenon_H2c zenon_H2f zenon_H258 zenon_H198 zenon_H199 zenon_H197 zenon_H234 zenon_H233 zenon_H232 zenon_Hb3 zenon_H40 zenon_H24e zenon_Hc zenon_He zenon_Hf zenon_H1e zenon_H34 zenon_H126 zenon_H125 zenon_H124 zenon_Ha zenon_H200 zenon_H201 zenon_H202 zenon_H246 zenon_H33. % 0.82/0.98 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hc9 ]. % 0.82/0.98 apply (zenon_L279_); trivial. % 0.82/0.98 apply (zenon_L280_); trivial. % 0.82/0.98 (* end of lemma zenon_L281_ *) % 0.82/0.98 assert (zenon_L282_ : ((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp5)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c1_1 (a426)) -> (c0_1 (a426)) -> (~(c2_1 (a426))) -> (~(c0_1 (a420))) -> (~(c1_1 (a420))) -> (~(c2_1 (a420))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp26)\/(hskp5))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (~(c1_1 (a415))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (~(hskp19)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a407))/\((c2_1 (a407))/\(c3_1 (a407)))))) -> False). % 0.82/0.98 do 0 intro. intros zenon_H6c zenon_H49 zenon_H45 zenon_H42 zenon_H33 zenon_H246 zenon_H202 zenon_H201 zenon_H200 zenon_H124 zenon_H125 zenon_H126 zenon_H34 zenon_H1e zenon_H24e zenon_H40 zenon_Hb3 zenon_H232 zenon_H233 zenon_H234 zenon_H197 zenon_H199 zenon_H198 zenon_H258 zenon_H2f zenon_H2a zenon_H1e3 zenon_Hce. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_Ha. zenon_intro zenon_H6e. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_Hf. zenon_intro zenon_H6f. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H2c | zenon_intro zenon_H44 ]. % 0.82/0.98 apply (zenon_L281_); trivial. % 0.82/0.98 apply (zenon_L18_); trivial. % 0.82/0.98 (* end of lemma zenon_L282_ *) % 0.82/0.98 assert (zenon_L283_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp5)\/(hskp3))) -> (~(hskp3)) -> (~(c0_1 (a420))) -> (~(c1_1 (a420))) -> (~(c2_1 (a420))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp26)\/(hskp5))) -> (~(c1_1 (a415))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (~(hskp19)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a407))/\((c2_1 (a407))/\(c3_1 (a407)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (c1_1 (a426)) -> (c0_1 (a426)) -> (~(c2_1 (a426))) -> (ndr1_0) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> False). % 0.82/0.98 do 0 intro. intros zenon_H71 zenon_H49 zenon_H45 zenon_H42 zenon_H124 zenon_H125 zenon_H126 zenon_H34 zenon_H1e zenon_H24e zenon_H40 zenon_Hb3 zenon_H197 zenon_H199 zenon_H198 zenon_H258 zenon_H2f zenon_H2a zenon_H1e3 zenon_Hce zenon_H209 zenon_H202 zenon_H201 zenon_H200 zenon_Ha zenon_H234 zenon_H233 zenon_H232 zenon_H246 zenon_H33. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.82/0.98 apply (zenon_L253_); trivial. % 0.82/0.98 apply (zenon_L282_); trivial. % 0.82/0.98 (* end of lemma zenon_L283_ *) % 0.82/0.98 assert (zenon_L284_ : ((ndr1_0)/\((c0_1 (a426))/\((c1_1 (a426))/\(~(c2_1 (a426)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> (~(hskp9)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a407))/\((c2_1 (a407))/\(c3_1 (a407)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp0))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> (~(c1_1 (a415))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp26)\/(hskp5))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> (~(c2_1 (a420))) -> (~(c1_1 (a420))) -> (~(c0_1 (a420))) -> (~(hskp3)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp5)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> False). % 0.82/0.98 do 0 intro. intros zenon_H218 zenon_H18a zenon_H62 zenon_Hdd zenon_H33 zenon_H246 zenon_H232 zenon_H233 zenon_H234 zenon_H209 zenon_Hce zenon_H1e3 zenon_H2f zenon_H258 zenon_H198 zenon_H199 zenon_H197 zenon_Hb3 zenon_H40 zenon_H24e zenon_H1e zenon_H34 zenon_H126 zenon_H125 zenon_H124 zenon_H42 zenon_H45 zenon_H49 zenon_H71. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Ha. zenon_intro zenon_H219. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H201. zenon_intro zenon_H21a. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H202. zenon_intro zenon_H200. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/0.98 apply (zenon_L283_); trivial. % 0.82/0.98 apply (zenon_L255_); trivial. % 0.82/0.98 (* end of lemma zenon_L284_ *) % 0.82/0.98 assert (zenon_L285_ : (forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69)))))) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))) -> (~(c1_1 (a410))) -> (~(c3_1 (a410))) -> (c0_1 (a410)) -> False). % 0.82/0.98 do 0 intro. intros zenon_H7d zenon_Ha zenon_He9 zenon_H1a0 zenon_H1a1 zenon_H1a2. % 0.82/0.98 generalize (zenon_H7d (a410)). zenon_intro zenon_H25a. % 0.82/0.98 apply (zenon_imply_s _ _ zenon_H25a); [ zenon_intro zenon_H9 | zenon_intro zenon_H25b ]. % 0.82/0.98 exact (zenon_H9 zenon_Ha). % 0.82/0.98 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H25c | zenon_intro zenon_H1a5 ]. % 0.82/0.98 generalize (zenon_He9 (a410)). zenon_intro zenon_H25d. % 0.82/0.98 apply (zenon_imply_s _ _ zenon_H25d); [ zenon_intro zenon_H9 | zenon_intro zenon_H25e ]. % 0.82/0.98 exact (zenon_H9 zenon_Ha). % 0.82/0.98 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H25f ]. % 0.82/0.98 exact (zenon_H1a0 zenon_H1a6). % 0.82/0.98 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H260 ]. % 0.82/0.98 exact (zenon_H1a1 zenon_H1a8). % 0.82/0.98 exact (zenon_H260 zenon_H25c). % 0.82/0.98 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1a7 ]. % 0.82/0.98 exact (zenon_H1a1 zenon_H1a8). % 0.82/0.98 exact (zenon_H1a7 zenon_H1a2). % 0.82/0.98 (* end of lemma zenon_L285_ *) % 0.82/0.98 assert (zenon_L286_ : ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp22))) -> (c0_1 (a410)) -> (~(c3_1 (a410))) -> (~(c1_1 (a410))) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))) -> (c3_1 (a449)) -> (c1_1 (a449)) -> (~(c2_1 (a449))) -> (ndr1_0) -> (~(hskp22)) -> False). % 0.82/0.98 do 0 intro. intros zenon_H261 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_He9 zenon_H4f zenon_H50 zenon_H52 zenon_Ha zenon_Hfc. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H7d | zenon_intro zenon_H262 ]. % 0.82/0.98 apply (zenon_L285_); trivial. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H72 | zenon_intro zenon_Hfd ]. % 0.82/0.98 apply (zenon_L30_); trivial. % 0.82/0.98 exact (zenon_Hfc zenon_Hfd). % 0.82/0.98 (* end of lemma zenon_L286_ *) % 0.82/0.98 assert (zenon_L287_ : ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> (c1_1 (a460)) -> (~(c2_1 (a460))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7))))) -> (~(c3_1 (a460))) -> (ndr1_0) -> (~(c1_1 (a410))) -> (~(c3_1 (a410))) -> (c0_1 (a410)) -> (~(c2_1 (a449))) -> (c1_1 (a449)) -> (c3_1 (a449)) -> (~(hskp22)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp22))) -> False). % 0.82/0.98 do 0 intro. intros zenon_H100 zenon_Hf zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H52 zenon_H50 zenon_H4f zenon_Hfc zenon_H261. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_He9 | zenon_intro zenon_Hb ]. % 0.82/0.98 apply (zenon_L286_); trivial. % 0.82/0.98 apply (zenon_L6_); trivial. % 0.82/0.98 (* end of lemma zenon_L287_ *) % 0.82/0.98 assert (zenon_L288_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> (~(c1_1 (a410))) -> (~(c3_1 (a410))) -> (c0_1 (a410)) -> (~(hskp22)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp22))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (~(hskp19)) -> (ndr1_0) -> (~(c2_1 (a426))) -> (c0_1 (a426)) -> (c1_1 (a426)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (~(c2_1 (a449))) -> (c1_1 (a449)) -> (c3_1 (a449)) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> False). % 0.82/0.98 do 0 intro. intros zenon_H71 zenon_H246 zenon_H232 zenon_H233 zenon_H234 zenon_H100 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_Hfc zenon_H261 zenon_H1e zenon_H34 zenon_H33 zenon_H2f zenon_H2a zenon_Ha zenon_H200 zenon_H201 zenon_H202 zenon_H209 zenon_H52 zenon_H50 zenon_H4f zenon_H152 zenon_H154 zenon_H49. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.82/0.98 apply (zenon_L174_); trivial. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_Ha. zenon_intro zenon_H6e. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_Hf. zenon_intro zenon_H6f. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H1c | zenon_intro zenon_H2e ]. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_Hd | zenon_intro zenon_H35 ]. % 0.82/0.98 apply (zenon_L287_); trivial. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H1f ]. % 0.82/0.98 exact (zenon_H1c zenon_H1d). % 0.82/0.98 exact (zenon_H1e zenon_H1f). % 0.82/0.98 apply (zenon_L252_); trivial. % 0.82/0.98 (* end of lemma zenon_L288_ *) % 0.82/0.98 assert (zenon_L289_ : (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))) -> (ndr1_0) -> (~(c1_1 (a451))) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (c0_1 (a451)) -> (c2_1 (a451)) -> False). % 0.82/0.98 do 0 intro. intros zenon_He9 zenon_Ha zenon_H10b zenon_Hf3 zenon_H10c zenon_H11d. % 0.82/0.98 generalize (zenon_He9 (a451)). zenon_intro zenon_H253. % 0.82/0.98 apply (zenon_imply_s _ _ zenon_H253); [ zenon_intro zenon_H9 | zenon_intro zenon_H254 ]. % 0.82/0.98 exact (zenon_H9 zenon_Ha). % 0.82/0.98 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H111 | zenon_intro zenon_H255 ]. % 0.82/0.98 exact (zenon_H10b zenon_H111). % 0.82/0.98 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H10d | zenon_intro zenon_H180 ]. % 0.82/0.98 apply (zenon_L227_); trivial. % 0.82/0.98 exact (zenon_H180 zenon_H11d). % 0.82/0.98 (* end of lemma zenon_L289_ *) % 0.82/0.98 assert (zenon_L290_ : ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp3))) -> (c2_1 (a451)) -> (c0_1 (a451)) -> (~(c1_1 (a451))) -> (ndr1_0) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))) -> (~(hskp3)) -> False). % 0.82/0.98 do 0 intro. intros zenon_H256 zenon_H11d zenon_H10c zenon_H10b zenon_Ha zenon_He9 zenon_H42. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H17c | zenon_intro zenon_H257 ]. % 0.82/0.98 apply (zenon_L106_); trivial. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H43 ]. % 0.82/0.98 apply (zenon_L289_); trivial. % 0.82/0.98 exact (zenon_H42 zenon_H43). % 0.82/0.98 (* end of lemma zenon_L290_ *) % 0.82/0.98 assert (zenon_L291_ : ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> (c1_1 (a460)) -> (~(c2_1 (a460))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7))))) -> (~(c3_1 (a460))) -> (ndr1_0) -> (~(c1_1 (a451))) -> (c0_1 (a451)) -> (c2_1 (a451)) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp3))) -> False). % 0.82/0.98 do 0 intro. intros zenon_H100 zenon_Hf zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H10b zenon_H10c zenon_H11d zenon_H42 zenon_H256. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_He9 | zenon_intro zenon_Hb ]. % 0.82/0.98 apply (zenon_L290_); trivial. % 0.82/0.98 apply (zenon_L6_); trivial. % 0.82/0.98 (* end of lemma zenon_L291_ *) % 0.82/0.98 assert (zenon_L292_ : ((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp0)\/(hskp11))) -> (~(hskp11)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> (~(hskp0)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a451)) -> (c0_1 (a451)) -> (~(c1_1 (a451))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> False). % 0.82/0.98 do 0 intro. intros zenon_H6c zenon_H49 zenon_H15b zenon_H87 zenon_H34 zenon_H1e zenon_H256 zenon_H42 zenon_H11d zenon_H10c zenon_H10b zenon_H100 zenon_H2a zenon_H2f zenon_H33. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_Ha. zenon_intro zenon_H6e. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_Hf. zenon_intro zenon_H6f. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H2c | zenon_intro zenon_H44 ]. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H1c | zenon_intro zenon_H2e ]. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_Hd | zenon_intro zenon_H35 ]. % 0.82/0.98 apply (zenon_L291_); trivial. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H1f ]. % 0.82/0.98 exact (zenon_H1c zenon_H1d). % 0.82/0.98 exact (zenon_H1e zenon_H1f). % 0.82/0.98 apply (zenon_L13_); trivial. % 0.82/0.98 apply (zenon_L95_); trivial. % 0.82/0.98 (* end of lemma zenon_L292_ *) % 0.82/0.98 assert (zenon_L293_ : ((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp0)\/(hskp11))) -> (~(hskp11)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> (~(hskp0)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (~(hskp19)) -> (~(c2_1 (a426))) -> (c0_1 (a426)) -> (c1_1 (a426)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (~(c2_1 (a449))) -> (c1_1 (a449)) -> (c3_1 (a449)) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> False). % 0.82/0.98 do 0 intro. intros zenon_H119 zenon_H71 zenon_H15b zenon_H87 zenon_H34 zenon_H1e zenon_H256 zenon_H42 zenon_H100 zenon_H33 zenon_H2f zenon_H2a zenon_H200 zenon_H201 zenon_H202 zenon_H209 zenon_H52 zenon_H50 zenon_H4f zenon_H152 zenon_H154 zenon_H49. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_Ha. zenon_intro zenon_H11b. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10c. zenon_intro zenon_H11c. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H11d. zenon_intro zenon_H10b. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.82/0.98 apply (zenon_L174_); trivial. % 0.82/0.98 apply (zenon_L292_); trivial. % 0.82/0.98 (* end of lemma zenon_L293_ *) % 0.82/0.98 assert (zenon_L294_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c2_1 (a420))) -> (~(c1_1 (a420))) -> (~(c0_1 (a420))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> (~(c3_1 (a460))) -> (~(c2_1 (a460))) -> (c1_1 (a460)) -> (~(hskp27)) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> (c2_1 (a451)) -> (c0_1 (a451)) -> (~(c1_1 (a451))) -> (ndr1_0) -> False). % 0.82/0.98 do 0 intro. intros zenon_H258 zenon_H126 zenon_H125 zenon_H124 zenon_H100 zenon_Hc zenon_He zenon_Hf zenon_H1c zenon_H1e zenon_H34 zenon_H11d zenon_H10c zenon_H10b zenon_Ha. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H123 | zenon_intro zenon_H259 ]. % 0.82/0.98 apply (zenon_L77_); trivial. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_Hb | zenon_intro zenon_Hf3 ]. % 0.82/0.98 apply (zenon_L274_); trivial. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_He9 | zenon_intro zenon_Hb ]. % 0.82/0.98 apply (zenon_L289_); trivial. % 0.82/0.98 apply (zenon_L274_); trivial. % 0.82/0.98 (* end of lemma zenon_L294_ *) % 0.82/0.98 assert (zenon_L295_ : ((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp5)\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> (~(c2_1 (a420))) -> (~(c1_1 (a420))) -> (~(c0_1 (a420))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (c1_1 (a426)) -> (c0_1 (a426)) -> (~(c2_1 (a426))) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> False). % 0.82/0.98 do 0 intro. intros zenon_H119 zenon_H71 zenon_H49 zenon_H45 zenon_H42 zenon_H40 zenon_H258 zenon_H100 zenon_H1e zenon_H34 zenon_H126 zenon_H125 zenon_H124 zenon_H2a zenon_H2f zenon_H209 zenon_H202 zenon_H201 zenon_H200 zenon_H234 zenon_H233 zenon_H232 zenon_H246 zenon_H33. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_Ha. zenon_intro zenon_H11b. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10c. zenon_intro zenon_H11c. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H11d. zenon_intro zenon_H10b. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.82/0.98 apply (zenon_L253_); trivial. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_Ha. zenon_intro zenon_H6e. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_Hf. zenon_intro zenon_H6f. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H2c | zenon_intro zenon_H44 ]. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H1c | zenon_intro zenon_H2e ]. % 0.82/0.98 apply (zenon_L294_); trivial. % 0.82/0.98 apply (zenon_L13_); trivial. % 0.82/0.98 apply (zenon_L18_); trivial. % 0.82/0.98 (* end of lemma zenon_L295_ *) % 0.82/0.98 assert (zenon_L296_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a426))/\((c1_1 (a426))/\(~(c2_1 (a426))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp0)\/(hskp11))) -> (~(hskp0)) -> (~(c0_1 (a416))) -> (c3_1 (a416)) -> (~(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> (ndr1_0) -> (~(c1_1 (a410))) -> (~(c3_1 (a410))) -> (c0_1 (a410)) -> (~(hskp1)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp12)\/(hskp1))) -> False). % 0.82/0.98 do 0 intro. intros zenon_H217 zenon_H71 zenon_H15b zenon_H1e zenon_H136 zenon_H138 zenon_H87 zenon_H15c zenon_H34 zenon_H209 zenon_H234 zenon_H233 zenon_H232 zenon_H246 zenon_H33 zenon_Ha zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_Hc7 zenon_H226. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.82/0.98 apply (zenon_L222_); trivial. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Ha. zenon_intro zenon_H219. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H201. zenon_intro zenon_H21a. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H202. zenon_intro zenon_H200. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.82/0.98 apply (zenon_L253_); trivial. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_Ha. zenon_intro zenon_H6e. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_Hf. zenon_intro zenon_H6f. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H1c | zenon_intro zenon_H2e ]. % 0.82/0.98 apply (zenon_L94_); trivial. % 0.82/0.98 apply (zenon_L252_); trivial. % 0.82/0.98 (* end of lemma zenon_L296_ *) % 0.82/0.98 assert (zenon_L297_ : ((ndr1_0)/\((c3_1 (a416))/\((~(c0_1 (a416)))/\(~(c1_1 (a416)))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a420)))/\((~(c1_1 (a420)))/\(~(c2_1 (a420))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp5)) -> (~(hskp3)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp5)\/(hskp3))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp12)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a410)) -> (~(c3_1 (a410))) -> (~(c1_1 (a410))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11))) -> (~(hskp0)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp0)\/(hskp11))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a426))/\((c1_1 (a426))/\(~(c2_1 (a426))))))) -> False). % 0.82/0.98 do 0 intro. intros zenon_H1b6 zenon_H18d zenon_H1e3 zenon_H40 zenon_H42 zenon_H45 zenon_H226 zenon_Hc7 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H33 zenon_H246 zenon_H232 zenon_H233 zenon_H234 zenon_H209 zenon_H34 zenon_H15c zenon_H1e zenon_H15b zenon_H71 zenon_H217. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_Ha. zenon_intro zenon_H1b7. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H138. zenon_intro zenon_H1b8. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.82/0.98 apply (zenon_L296_); trivial. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H124. zenon_intro zenon_H158. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H125. zenon_intro zenon_H126. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H123 | zenon_intro zenon_H1e4 ]. % 0.82/0.98 apply (zenon_L77_); trivial. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H1f ]. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H36 | zenon_intro zenon_H48 ]. % 0.82/0.98 apply (zenon_L92_); trivial. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H41 | zenon_intro zenon_H43 ]. % 0.82/0.98 exact (zenon_H40 zenon_H41). % 0.82/0.98 exact (zenon_H42 zenon_H43). % 0.82/0.98 exact (zenon_H1e zenon_H1f). % 0.82/0.98 (* end of lemma zenon_L297_ *) % 0.82/0.98 assert (zenon_L298_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a407))/\((c2_1 (a407))/\(c3_1 (a407)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((forall X73 : zenon_U, ((ndr1_0)->((~(c1_1 X73))\/((~(c2_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a410)) -> (~(c3_1 (a410))) -> (~(c1_1 (a410))) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(hskp22)) -> (~(c1_1 (a415))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (ndr1_0) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp26)\/(hskp5))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> False). % 0.82/0.98 do 0 intro. intros zenon_Hce zenon_H1a9 zenon_H62 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_Hfe zenon_H87 zenon_Hfc zenon_H197 zenon_H199 zenon_H198 zenon_Ha zenon_H234 zenon_H233 zenon_H232 zenon_Hb3 zenon_H40 zenon_H24e. % 0.82/0.98 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hc9 ]. % 0.82/0.98 apply (zenon_L266_); trivial. % 0.82/0.98 apply (zenon_L127_); trivial. % 0.82/0.98 (* end of lemma zenon_L298_ *) % 0.82/0.98 assert (zenon_L299_ : ((ndr1_0)/\((c0_1 (a426))/\((c1_1 (a426))/\(~(c2_1 (a426)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp26)\/(hskp5))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> (~(c1_1 (a415))) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(c1_1 (a410))) -> (~(c3_1 (a410))) -> (c0_1 (a410)) -> (~(hskp9)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((forall X73 : zenon_U, ((ndr1_0)->((~(c1_1 X73))\/((~(c2_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a407))/\((c2_1 (a407))/\(c3_1 (a407)))))) -> False). % 0.82/0.98 do 0 intro. intros zenon_H218 zenon_H120 zenon_H71 zenon_H256 zenon_H42 zenon_H34 zenon_H1e zenon_H100 zenon_H209 zenon_H246 zenon_H33 zenon_H24e zenon_H40 zenon_Hb3 zenon_H232 zenon_H233 zenon_H234 zenon_H198 zenon_H199 zenon_H197 zenon_H87 zenon_Hfe zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H62 zenon_H1a9 zenon_Hce. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Ha. zenon_intro zenon_H219. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H201. zenon_intro zenon_H21a. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H202. zenon_intro zenon_H200. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.82/0.98 apply (zenon_L298_); trivial. % 0.82/0.98 apply (zenon_L276_); trivial. % 0.82/0.98 (* end of lemma zenon_L299_ *) % 0.82/0.98 assert (zenon_L300_ : ((ndr1_0)/\((~(c0_1 (a420)))/\((~(c1_1 (a420)))/\(~(c2_1 (a420)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a426))/\((c1_1 (a426))/\(~(c2_1 (a426))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> (~(hskp9)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a407))/\((c2_1 (a407))/\(c3_1 (a407)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp0))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> (~(c1_1 (a415))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp26)\/(hskp5))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> (~(hskp3)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp5)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> (~(c1_1 (a410))) -> (~(c3_1 (a410))) -> (c0_1 (a410)) -> (~(hskp1)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp12)\/(hskp1))) -> False). % 0.82/0.98 do 0 intro. intros zenon_H156 zenon_H217 zenon_H18a zenon_H62 zenon_Hdd zenon_H33 zenon_H246 zenon_H232 zenon_H233 zenon_H234 zenon_H209 zenon_Hce zenon_H1e3 zenon_H2f zenon_H258 zenon_H198 zenon_H199 zenon_H197 zenon_Hb3 zenon_H40 zenon_H24e zenon_H1e zenon_H34 zenon_H42 zenon_H45 zenon_H49 zenon_H71 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_Hc7 zenon_H226. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H124. zenon_intro zenon_H158. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H125. zenon_intro zenon_H126. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.82/0.98 apply (zenon_L222_); trivial. % 0.82/0.98 apply (zenon_L284_); trivial. % 0.82/0.98 (* end of lemma zenon_L300_ *) % 0.82/0.98 assert (zenon_L301_ : ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(hskp9))) -> (c2_1 (a409)) -> (~(c3_1 (a409))) -> (~(c0_1 (a409))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.82/0.98 do 0 intro. intros zenon_H244 zenon_H1ca zenon_H1c9 zenon_H1c8 zenon_H232 zenon_H233 zenon_H234 zenon_Ha zenon_H62. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H90 | zenon_intro zenon_H245 ]. % 0.82/0.98 apply (zenon_L130_); trivial. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H240 | zenon_intro zenon_H63 ]. % 0.82/0.98 apply (zenon_L249_); trivial. % 0.82/0.98 exact (zenon_H62 zenon_H63). % 0.82/0.98 (* end of lemma zenon_L301_ *) % 0.82/0.98 assert (zenon_L302_ : ((ndr1_0)/\((c2_1 (a409))/\((~(c0_1 (a409)))/\(~(c3_1 (a409)))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a416))/\((~(c0_1 (a416)))/\(~(c1_1 (a416))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))))) -> (~(hskp1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp1))) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(hskp9))) -> False). % 0.82/0.98 do 0 intro. intros zenon_H1ef zenon_H1c4 zenon_H187 zenon_Hc7 zenon_Hca zenon_H234 zenon_H233 zenon_H232 zenon_H244. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_Ha. zenon_intro zenon_H1f0. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1ca. zenon_intro zenon_H1f1. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1c8. zenon_intro zenon_H1c9. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/0.98 apply (zenon_L301_); trivial. % 0.82/0.98 apply (zenon_L135_); trivial. % 0.82/0.98 (* end of lemma zenon_L302_ *) % 0.82/0.98 assert (zenon_L303_ : ((ndr1_0)/\((c0_1 (a426))/\((c1_1 (a426))/\(~(c2_1 (a426)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a408)) -> (c2_1 (a408)) -> (~(c0_1 (a408))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11))) -> (~(hskp11)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))))) -> (~(hskp0)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp0)\/(hskp11))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> False). % 0.82/0.98 do 0 intro. intros zenon_H218 zenon_H18a zenon_H33 zenon_H246 zenon_H232 zenon_H233 zenon_H234 zenon_H209 zenon_H2f zenon_Hdd zenon_H62 zenon_H1dc zenon_H1db zenon_H1da zenon_H15c zenon_H87 zenon_H1ed zenon_H1e zenon_H15b zenon_H49 zenon_H71. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Ha. zenon_intro zenon_H219. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H201. zenon_intro zenon_H21a. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H202. zenon_intro zenon_H200. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.82/0.98 apply (zenon_L253_); trivial. % 0.82/0.98 apply (zenon_L225_); trivial. % 0.82/0.98 apply (zenon_L255_); trivial. % 0.82/0.98 (* end of lemma zenon_L303_ *) % 0.82/0.98 assert (zenon_L304_ : ((ndr1_0)/\((c3_1 (a416))/\((~(c0_1 (a416)))/\(~(c1_1 (a416)))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a420)))/\((~(c1_1 (a420)))/\(~(c2_1 (a420))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp0))) -> (c3_1 (a408)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp12)\/(hskp1))) -> (~(hskp1)) -> (c0_1 (a410)) -> (~(c3_1 (a410))) -> (~(c1_1 (a410))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp1))) -> (c2_1 (a408)) -> (~(c0_1 (a408))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp0)\/(hskp11))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a426))/\((c1_1 (a426))/\(~(c2_1 (a426))))))) -> False). % 0.82/0.98 do 0 intro. intros zenon_H1b6 zenon_H18d zenon_H1e3 zenon_H1dc zenon_H226 zenon_Hc7 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H33 zenon_H246 zenon_H232 zenon_H233 zenon_H234 zenon_H209 zenon_H185 zenon_H1db zenon_H1da zenon_H15b zenon_H1e zenon_H15c zenon_H1ed zenon_H71 zenon_H217. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_Ha. zenon_intro zenon_H1b7. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H138. zenon_intro zenon_H1b8. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.82/0.98 apply (zenon_L222_); trivial. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Ha. zenon_intro zenon_H219. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H201. zenon_intro zenon_H21a. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H202. zenon_intro zenon_H200. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.82/0.98 apply (zenon_L253_); trivial. % 0.82/0.98 apply (zenon_L244_); trivial. % 0.82/0.98 apply (zenon_L145_); trivial. % 0.82/0.98 (* end of lemma zenon_L304_ *) % 0.82/0.98 assert (zenon_L305_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((hskp8)\/(hskp9))) -> (~(hskp8)) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(hskp9))) -> (ndr1_0) -> (~(c2_1 (a404))) -> (c0_1 (a404)) -> (c3_1 (a404)) -> (~(hskp7)) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16))) -> False). % 0.82/0.98 do 0 intro. intros zenon_Ha6 zenon_H64 zenon_H60 zenon_H234 zenon_H233 zenon_H232 zenon_H62 zenon_H244 zenon_Ha zenon_H1f2 zenon_H1f3 zenon_H1f4 zenon_H4a zenon_H4e. % 0.82/0.98 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H4c | zenon_intro zenon_Ha3 ]. % 0.82/0.98 apply (zenon_L160_); trivial. % 0.82/0.98 apply (zenon_L250_); trivial. % 0.82/0.98 (* end of lemma zenon_L305_ *) % 0.82/0.98 assert (zenon_L306_ : ((~(hskp9))\/((ndr1_0)/\((c3_1 (a416))/\((~(c0_1 (a416)))/\(~(c1_1 (a416))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp7))) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16))) -> (~(hskp7)) -> (c3_1 (a404)) -> (c0_1 (a404)) -> (~(c2_1 (a404))) -> (ndr1_0) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(hskp9))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (~(hskp8)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((hskp8)\/(hskp9))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434))))))) -> False). % 0.82/0.98 do 0 intro. intros zenon_H1c4 zenon_H21b zenon_H131 zenon_H13f zenon_H4e zenon_H4a zenon_H1f4 zenon_H1f3 zenon_H1f2 zenon_Ha zenon_H244 zenon_H232 zenon_H233 zenon_H234 zenon_H60 zenon_H64 zenon_Ha6. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/0.98 apply (zenon_L305_); trivial. % 0.82/0.98 apply (zenon_L189_); trivial. % 0.82/0.98 (* end of lemma zenon_L306_ *) % 0.82/0.98 assert (zenon_L307_ : (forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63)))))) -> (ndr1_0) -> (~(c2_1 (a449))) -> (forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56)))))) -> (c1_1 (a449)) -> (c3_1 (a449)) -> False). % 0.82/0.98 do 0 intro. intros zenon_H1ff zenon_Ha zenon_H52 zenon_Hd3 zenon_H50 zenon_H4f. % 0.82/0.98 generalize (zenon_H1ff (a449)). zenon_intro zenon_H263. % 0.82/0.98 apply (zenon_imply_s _ _ zenon_H263); [ zenon_intro zenon_H9 | zenon_intro zenon_H264 ]. % 0.82/0.98 exact (zenon_H9 zenon_Ha). % 0.82/0.98 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H58 | zenon_intro zenon_H265 ]. % 0.82/0.98 exact (zenon_H52 zenon_H58). % 0.82/0.98 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H5a | zenon_intro zenon_H5f ]. % 0.82/0.98 generalize (zenon_Hd3 (a449)). zenon_intro zenon_H266. % 0.82/0.98 apply (zenon_imply_s _ _ zenon_H266); [ zenon_intro zenon_H9 | zenon_intro zenon_H267 ]. % 0.82/0.98 exact (zenon_H9 zenon_Ha). % 0.82/0.98 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H5e | zenon_intro zenon_H75 ]. % 0.82/0.98 exact (zenon_H5a zenon_H5e). % 0.82/0.98 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H5f | zenon_intro zenon_H59 ]. % 0.82/0.98 exact (zenon_H5f zenon_H50). % 0.82/0.98 exact (zenon_H59 zenon_H4f). % 0.82/0.98 exact (zenon_H5f zenon_H50). % 0.82/0.98 (* end of lemma zenon_L307_ *) % 0.82/0.98 assert (zenon_L308_ : ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (c3_1 (a449)) -> (c1_1 (a449)) -> (forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56)))))) -> (~(c2_1 (a449))) -> (ndr1_0) -> (c0_1 (a412)) -> (c1_1 (a412)) -> (c2_1 (a412)) -> False). % 0.82/0.98 do 0 intro. intros zenon_H246 zenon_H232 zenon_H233 zenon_H234 zenon_H4f zenon_H50 zenon_Hd3 zenon_H52 zenon_Ha zenon_H21 zenon_H22 zenon_H23. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H240 | zenon_intro zenon_H247 ]. % 0.82/0.98 apply (zenon_L249_); trivial. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1ff | zenon_intro zenon_H20 ]. % 0.82/0.98 apply (zenon_L307_); trivial. % 0.82/0.98 apply (zenon_L10_); trivial. % 0.82/0.98 (* end of lemma zenon_L308_ *) % 0.82/0.98 assert (zenon_L309_ : (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63)))))) -> (~(c2_1 (a404))) -> (c0_1 (a404)) -> (c3_1 (a404)) -> False). % 0.82/0.98 do 0 intro. intros zenon_H10a zenon_Ha zenon_H1ff zenon_H1f2 zenon_H1f3 zenon_H1f4. % 0.82/0.98 generalize (zenon_H10a (a404)). zenon_intro zenon_H268. % 0.82/0.98 apply (zenon_imply_s _ _ zenon_H268); [ zenon_intro zenon_H9 | zenon_intro zenon_H269 ]. % 0.82/0.98 exact (zenon_H9 zenon_Ha). % 0.82/0.98 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H26a | zenon_intro zenon_H1f7 ]. % 0.82/0.98 generalize (zenon_H1ff (a404)). zenon_intro zenon_H26b. % 0.82/0.98 apply (zenon_imply_s _ _ zenon_H26b); [ zenon_intro zenon_H9 | zenon_intro zenon_H26c ]. % 0.82/0.98 exact (zenon_H9 zenon_Ha). % 0.82/0.98 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H26d ]. % 0.82/0.98 exact (zenon_H1f2 zenon_H1f8). % 0.82/0.98 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H1fa | zenon_intro zenon_H26e ]. % 0.82/0.98 exact (zenon_H1fa zenon_H1f3). % 0.82/0.98 exact (zenon_H26e zenon_H26a). % 0.82/0.98 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H1fa | zenon_intro zenon_H1f9 ]. % 0.82/0.98 exact (zenon_H1fa zenon_H1f3). % 0.82/0.98 exact (zenon_H1f9 zenon_H1f4). % 0.82/0.98 (* end of lemma zenon_L309_ *) % 0.82/0.98 assert (zenon_L310_ : ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (c3_1 (a404)) -> (c0_1 (a404)) -> (~(c2_1 (a404))) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (c0_1 (a412)) -> (c1_1 (a412)) -> (c2_1 (a412)) -> False). % 0.82/0.98 do 0 intro. intros zenon_H246 zenon_H232 zenon_H233 zenon_H234 zenon_H1f4 zenon_H1f3 zenon_H1f2 zenon_H10a zenon_Ha zenon_H21 zenon_H22 zenon_H23. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H240 | zenon_intro zenon_H247 ]. % 0.82/0.98 apply (zenon_L249_); trivial. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1ff | zenon_intro zenon_H20 ]. % 0.82/0.98 apply (zenon_L309_); trivial. % 0.82/0.98 apply (zenon_L10_); trivial. % 0.82/0.98 (* end of lemma zenon_L310_ *) % 0.82/0.98 assert (zenon_L311_ : ((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c2_1 (a404))) -> (c0_1 (a404)) -> (c3_1 (a404)) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> (~(c2_1 (a449))) -> (c1_1 (a449)) -> (c3_1 (a449)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> False). % 0.82/0.98 do 0 intro. intros zenon_H2e zenon_H118 zenon_H1f2 zenon_H1f3 zenon_H1f4 zenon_H234 zenon_H233 zenon_H232 zenon_H52 zenon_H50 zenon_H4f zenon_H246. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_Ha. zenon_intro zenon_H30. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H21. zenon_intro zenon_H31. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H22. zenon_intro zenon_H23. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H10a ]. % 0.82/0.98 apply (zenon_L308_); trivial. % 0.82/0.98 apply (zenon_L310_); trivial. % 0.82/0.98 (* end of lemma zenon_L311_ *) % 0.82/0.98 assert (zenon_L312_ : ((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c2_1 (a404))) -> (c0_1 (a404)) -> (c3_1 (a404)) -> (~(c2_1 (a449))) -> (c1_1 (a449)) -> (c3_1 (a449)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a415)) -> (c3_1 (a415)) -> (~(c1_1 (a415))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (c1_1 (a426)) -> (c0_1 (a426)) -> (~(c2_1 (a426))) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> False). % 0.82/0.98 do 0 intro. intros zenon_H119 zenon_H71 zenon_H118 zenon_H1f2 zenon_H1f3 zenon_H1f4 zenon_H52 zenon_H50 zenon_H4f zenon_H256 zenon_H42 zenon_H198 zenon_H199 zenon_H197 zenon_H24e zenon_H34 zenon_H1e zenon_H100 zenon_H209 zenon_H202 zenon_H201 zenon_H200 zenon_H234 zenon_H233 zenon_H232 zenon_H246 zenon_H33. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_Ha. zenon_intro zenon_H11b. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10c. zenon_intro zenon_H11c. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H11d. zenon_intro zenon_H10b. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.82/0.98 apply (zenon_L253_); trivial. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_Ha. zenon_intro zenon_H6e. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_Hf. zenon_intro zenon_H6f. % 0.82/0.98 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.82/0.98 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H1c | zenon_intro zenon_H2e ]. % 0.82/0.98 apply (zenon_L275_); trivial. % 0.82/0.98 apply (zenon_L311_); trivial. % 0.82/0.98 (* end of lemma zenon_L312_ *) % 0.82/0.98 assert (zenon_L313_ : (forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35)))))) -> (ndr1_0) -> (~(c2_1 (a404))) -> (forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))) -> (c3_1 (a404)) -> False). % 0.82/0.98 do 0 intro. intros zenon_H72 zenon_Ha zenon_H1f2 zenon_H168 zenon_H1f4. % 0.82/0.98 generalize (zenon_H72 (a404)). zenon_intro zenon_H26f. % 0.82/0.98 apply (zenon_imply_s _ _ zenon_H26f); [ zenon_intro zenon_H9 | zenon_intro zenon_H270 ]. % 0.82/0.98 exact (zenon_H9 zenon_Ha). % 0.82/0.98 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H271 ]. % 0.82/0.98 exact (zenon_H1f2 zenon_H1f8). % 0.82/0.98 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H26e | zenon_intro zenon_H1f9 ]. % 0.82/0.98 generalize (zenon_H168 (a404)). zenon_intro zenon_H272. % 0.82/0.98 apply (zenon_imply_s _ _ zenon_H272); [ zenon_intro zenon_H9 | zenon_intro zenon_H273 ]. % 0.82/0.98 exact (zenon_H9 zenon_Ha). % 0.82/0.98 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H26a | zenon_intro zenon_H274 ]. % 0.82/0.99 exact (zenon_H26e zenon_H26a). % 0.82/0.99 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H1f9 ]. % 0.82/0.99 exact (zenon_H1f2 zenon_H1f8). % 0.82/0.99 exact (zenon_H1f9 zenon_H1f4). % 0.82/0.99 exact (zenon_H1f9 zenon_H1f4). % 0.82/0.99 (* end of lemma zenon_L313_ *) % 0.82/0.99 assert (zenon_L314_ : ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp22))) -> (c0_1 (a410)) -> (~(c3_1 (a410))) -> (~(c1_1 (a410))) -> (forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3)))))) -> (c3_1 (a404)) -> (forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))) -> (~(c2_1 (a404))) -> (ndr1_0) -> (~(hskp22)) -> False). % 0.82/0.99 do 0 intro. intros zenon_H261 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_He9 zenon_H1f4 zenon_H168 zenon_H1f2 zenon_Ha zenon_Hfc. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H7d | zenon_intro zenon_H262 ]. % 0.82/0.99 apply (zenon_L285_); trivial. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H72 | zenon_intro zenon_Hfd ]. % 0.82/0.99 apply (zenon_L313_); trivial. % 0.82/0.99 exact (zenon_Hfc zenon_Hfd). % 0.82/0.99 (* end of lemma zenon_L314_ *) % 0.82/0.99 assert (zenon_L315_ : ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> (c1_1 (a460)) -> (~(c2_1 (a460))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7))))) -> (~(c3_1 (a460))) -> (ndr1_0) -> (~(c1_1 (a410))) -> (~(c3_1 (a410))) -> (c0_1 (a410)) -> (~(c2_1 (a404))) -> (forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))) -> (c3_1 (a404)) -> (~(hskp22)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp22))) -> False). % 0.82/0.99 do 0 intro. intros zenon_H100 zenon_Hf zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1f2 zenon_H168 zenon_H1f4 zenon_Hfc zenon_H261. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_He9 | zenon_intro zenon_Hb ]. % 0.82/0.99 apply (zenon_L314_); trivial. % 0.82/0.99 apply (zenon_L6_); trivial. % 0.82/0.99 (* end of lemma zenon_L315_ *) % 0.82/0.99 assert (zenon_L316_ : ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/((hskp18)\/(hskp3))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp22))) -> (~(hskp22)) -> (c3_1 (a404)) -> (~(c2_1 (a404))) -> (c0_1 (a410)) -> (~(c3_1 (a410))) -> (~(c1_1 (a410))) -> (ndr1_0) -> (~(c3_1 (a460))) -> (forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7))))) -> (~(c2_1 (a460))) -> (c1_1 (a460)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> (~(hskp18)) -> (~(hskp3)) -> False). % 0.82/0.99 do 0 intro. intros zenon_H275 zenon_H261 zenon_Hfc zenon_H1f4 zenon_H1f2 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_Hf zenon_H100 zenon_H1 zenon_H42. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H168 | zenon_intro zenon_H276 ]. % 0.82/0.99 apply (zenon_L315_); trivial. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H2 | zenon_intro zenon_H43 ]. % 0.82/0.99 exact (zenon_H1 zenon_H2). % 0.82/0.99 exact (zenon_H42 zenon_H43). % 0.82/0.99 (* end of lemma zenon_L316_ *) % 0.82/0.99 assert (zenon_L317_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c0_1 (a404)) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/((hskp18)\/(hskp3))) -> (~(hskp3)) -> (~(hskp18)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp22))) -> (~(hskp22)) -> (c3_1 (a404)) -> (~(c2_1 (a404))) -> (c0_1 (a410)) -> (~(c3_1 (a410))) -> (~(c1_1 (a410))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (~(hskp19)) -> (ndr1_0) -> (~(c2_1 (a426))) -> (c0_1 (a426)) -> (c1_1 (a426)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (~(c2_1 (a449))) -> (c1_1 (a449)) -> (c3_1 (a449)) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> False). % 0.82/0.99 do 0 intro. intros zenon_H71 zenon_H118 zenon_H1f3 zenon_H234 zenon_H233 zenon_H232 zenon_H246 zenon_H275 zenon_H42 zenon_H1 zenon_H261 zenon_Hfc zenon_H1f4 zenon_H1f2 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H100 zenon_H1e zenon_H34 zenon_H33 zenon_H2f zenon_H2a zenon_Ha zenon_H200 zenon_H201 zenon_H202 zenon_H209 zenon_H52 zenon_H50 zenon_H4f zenon_H152 zenon_H154 zenon_H49. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.82/0.99 apply (zenon_L174_); trivial. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_Ha. zenon_intro zenon_H6e. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_Hf. zenon_intro zenon_H6f. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H1c | zenon_intro zenon_H2e ]. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_Hd | zenon_intro zenon_H35 ]. % 0.82/0.99 apply (zenon_L316_); trivial. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H1f ]. % 0.82/0.99 exact (zenon_H1c zenon_H1d). % 0.82/0.99 exact (zenon_H1e zenon_H1f). % 0.82/0.99 apply (zenon_L311_); trivial. % 0.82/0.99 (* end of lemma zenon_L317_ *) % 0.82/0.99 assert (zenon_L318_ : ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp22))) -> (c0_1 (a440)) -> (~(c3_1 (a440))) -> (~(c2_1 (a440))) -> (c3_1 (a449)) -> (c1_1 (a449)) -> (~(c2_1 (a449))) -> (ndr1_0) -> (~(hskp22)) -> False). % 0.82/0.99 do 0 intro. intros zenon_H261 zenon_H80 zenon_H7f zenon_H7e zenon_H4f zenon_H50 zenon_H52 zenon_Ha zenon_Hfc. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H7d | zenon_intro zenon_H262 ]. % 0.82/0.99 apply (zenon_L33_); trivial. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H72 | zenon_intro zenon_Hfd ]. % 0.82/0.99 apply (zenon_L30_); trivial. % 0.82/0.99 exact (zenon_Hfc zenon_Hfd). % 0.82/0.99 (* end of lemma zenon_L318_ *) % 0.82/0.99 assert (zenon_L319_ : ((ndr1_0)/\((c0_1 (a440))/\((~(c2_1 (a440)))/\(~(c3_1 (a440)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> (~(hskp9)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp5)\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> (~(hskp0)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (c1_1 (a426)) -> (c0_1 (a426)) -> (~(c2_1 (a426))) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp22))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp3))) -> (~(hskp11)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp0)\/(hskp11))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> False). % 0.82/0.99 do 0 intro. intros zenon_H8b zenon_H18a zenon_H62 zenon_Hdd zenon_H71 zenon_H49 zenon_H45 zenon_H42 zenon_H40 zenon_H34 zenon_H1e zenon_H1b zenon_H2f zenon_H209 zenon_H202 zenon_H201 zenon_H200 zenon_H234 zenon_H233 zenon_H232 zenon_H246 zenon_H33 zenon_H261 zenon_H154 zenon_H152 zenon_H100 zenon_H256 zenon_H87 zenon_H15b zenon_H120 zenon_H8f. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Ha. zenon_intro zenon_H8c. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H80. zenon_intro zenon_H8d. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7e. zenon_intro zenon_H7f. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/0.99 apply (zenon_L254_); trivial. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H7a. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H50. zenon_intro zenon_H7b. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H4f. zenon_intro zenon_H52. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.82/0.99 apply (zenon_L318_); trivial. % 0.82/0.99 apply (zenon_L293_); trivial. % 0.82/0.99 apply (zenon_L255_); trivial. % 0.82/0.99 (* end of lemma zenon_L319_ *) % 0.82/0.99 assert (zenon_L320_ : ((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c2_1 (a404))) -> (c0_1 (a404)) -> (c3_1 (a404)) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (~(c0_1 (a420))) -> (~(c1_1 (a420))) -> (~(c2_1 (a420))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> (~(hskp0)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (~(hskp19)) -> (~(c2_1 (a426))) -> (c0_1 (a426)) -> (c1_1 (a426)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (~(c2_1 (a449))) -> (c1_1 (a449)) -> (c3_1 (a449)) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> False). % 0.82/0.99 do 0 intro. intros zenon_H119 zenon_H71 zenon_H118 zenon_H1f2 zenon_H1f3 zenon_H1f4 zenon_H234 zenon_H233 zenon_H232 zenon_H246 zenon_H124 zenon_H125 zenon_H126 zenon_H34 zenon_H1e zenon_H100 zenon_H258 zenon_H33 zenon_H2f zenon_H2a zenon_H200 zenon_H201 zenon_H202 zenon_H209 zenon_H52 zenon_H50 zenon_H4f zenon_H152 zenon_H154 zenon_H49. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_Ha. zenon_intro zenon_H11b. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10c. zenon_intro zenon_H11c. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H11d. zenon_intro zenon_H10b. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.82/0.99 apply (zenon_L174_); trivial. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_Ha. zenon_intro zenon_H6e. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_Hf. zenon_intro zenon_H6f. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H1c | zenon_intro zenon_H2e ]. % 0.82/0.99 apply (zenon_L294_); trivial. % 0.82/0.99 apply (zenon_L311_); trivial. % 0.82/0.99 (* end of lemma zenon_L320_ *) % 0.82/0.99 assert (zenon_L321_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a416)) -> (~(c0_1 (a416))) -> (~(hskp0)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp0)\/(hskp11))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (c1_1 (a426)) -> (c0_1 (a426)) -> (~(c2_1 (a426))) -> (ndr1_0) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> False). % 0.82/0.99 do 0 intro. intros zenon_H71 zenon_H49 zenon_H34 zenon_H15c zenon_H87 zenon_H138 zenon_H136 zenon_H1e zenon_H15b zenon_H2a zenon_H2f zenon_H209 zenon_H202 zenon_H201 zenon_H200 zenon_Ha zenon_H234 zenon_H233 zenon_H232 zenon_H246 zenon_H33. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.82/0.99 apply (zenon_L253_); trivial. % 0.82/0.99 apply (zenon_L96_); trivial. % 0.82/0.99 (* end of lemma zenon_L321_ *) % 0.82/0.99 assert (zenon_L322_ : ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (c3_1 (a404)) -> (c0_1 (a404)) -> (~(c2_1 (a404))) -> (ndr1_0) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (~(hskp27)) -> (~(hskp23)) -> False). % 0.82/0.99 do 0 intro. intros zenon_H209 zenon_H1f4 zenon_H1f3 zenon_H1f2 zenon_Ha zenon_H10a zenon_H1c zenon_H5. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H1ff | zenon_intro zenon_H20a ]. % 0.82/0.99 apply (zenon_L309_); trivial. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1d | zenon_intro zenon_H6 ]. % 0.82/0.99 exact (zenon_H1c zenon_H1d). % 0.82/0.99 exact (zenon_H5 zenon_H6). % 0.82/0.99 (* end of lemma zenon_L322_ *) % 0.82/0.99 assert (zenon_L323_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a445))) -> (c1_1 (a445)) -> (c3_1 (a445)) -> (~(c1_1 (a415))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (c3_1 (a404)) -> (c0_1 (a404)) -> (~(c2_1 (a404))) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp23)) -> False). % 0.82/0.99 do 0 intro. intros zenon_H24e zenon_Hd4 zenon_Hd5 zenon_Hd6 zenon_H197 zenon_H198 zenon_H199 zenon_H118 zenon_H232 zenon_H233 zenon_H234 zenon_H209 zenon_H1f4 zenon_H1f3 zenon_H1f2 zenon_Ha zenon_H1c zenon_H5. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H24f ]. % 0.82/0.99 apply (zenon_L125_); trivial. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H240 | zenon_intro zenon_H10a ]. % 0.82/0.99 apply (zenon_L249_); trivial. % 0.82/0.99 apply (zenon_L322_); trivial. % 0.82/0.99 (* end of lemma zenon_L323_ *) % 0.82/0.99 assert (zenon_L324_ : ((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a445))) -> (c1_1 (a445)) -> (c3_1 (a445)) -> (~(c1_1 (a415))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (c3_1 (a404)) -> (c0_1 (a404)) -> (~(c2_1 (a404))) -> False). % 0.82/0.99 do 0 intro. intros zenon_H2e zenon_H24e zenon_Hd4 zenon_Hd5 zenon_Hd6 zenon_H197 zenon_H198 zenon_H199 zenon_H118 zenon_H246 zenon_H232 zenon_H233 zenon_H234 zenon_H1f4 zenon_H1f3 zenon_H1f2. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_Ha. zenon_intro zenon_H30. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H21. zenon_intro zenon_H31. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H22. zenon_intro zenon_H23. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H24f ]. % 0.82/0.99 apply (zenon_L125_); trivial. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H240 | zenon_intro zenon_H10a ]. % 0.82/0.99 apply (zenon_L249_); trivial. % 0.82/0.99 apply (zenon_L310_); trivial. % 0.82/0.99 (* end of lemma zenon_L324_ *) % 0.82/0.99 assert (zenon_L325_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (~(c1_1 (a415))) -> (c3_1 (a445)) -> (c1_1 (a445)) -> (~(c0_1 (a445))) -> (ndr1_0) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a404)) -> (c0_1 (a404)) -> (~(c2_1 (a404))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> False). % 0.82/0.99 do 0 intro. intros zenon_H33 zenon_H246 zenon_H118 zenon_H199 zenon_H198 zenon_H197 zenon_Hd6 zenon_Hd5 zenon_Hd4 zenon_Ha zenon_H234 zenon_H233 zenon_H232 zenon_H209 zenon_H5 zenon_H1f4 zenon_H1f3 zenon_H1f2 zenon_H24e. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H1c | zenon_intro zenon_H2e ]. % 0.82/0.99 apply (zenon_L323_); trivial. % 0.82/0.99 apply (zenon_L324_); trivial. % 0.82/0.99 (* end of lemma zenon_L325_ *) % 0.82/0.99 assert (zenon_L326_ : ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> (~(c1_1 (a415))) -> (ndr1_0) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> (~(c2_1 (a426))) -> (c0_1 (a426)) -> (c1_1 (a426)) -> (c1_1 (a407)) -> (c3_1 (a407)) -> (c2_1 (a407)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> False). % 0.82/0.99 do 0 intro. intros zenon_H118 zenon_H199 zenon_H198 zenon_Ha7 zenon_H197 zenon_Ha zenon_H234 zenon_H233 zenon_H232 zenon_H200 zenon_H201 zenon_H202 zenon_Hbb zenon_Hba zenon_Hb9 zenon_H246. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H10a ]. % 0.82/0.99 apply (zenon_L268_); trivial. % 0.82/0.99 apply (zenon_L124_); trivial. % 0.82/0.99 (* end of lemma zenon_L326_ *) % 0.82/0.99 assert (zenon_L327_ : ((ndr1_0)/\((c1_1 (a407))/\((c2_1 (a407))/\(c3_1 (a407))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c1_1 (a426)) -> (c0_1 (a426)) -> (~(c2_1 (a426))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (~(c1_1 (a415))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(hskp11)) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11))) -> (c3_1 (a416)) -> (~(c0_1 (a416))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp0)\/(hskp11))) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c1_1 (a460)) -> False). % 0.82/0.99 do 0 intro. intros zenon_Hc9 zenon_H1ed zenon_H246 zenon_H202 zenon_H201 zenon_H200 zenon_H232 zenon_H233 zenon_H234 zenon_H197 zenon_H198 zenon_H199 zenon_H118 zenon_H87 zenon_H1e zenon_H15c zenon_H138 zenon_H136 zenon_H15b zenon_He zenon_Hc zenon_Hf. % 0.82/0.99 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 0.82/0.99 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 0.82/0.99 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1ee ]. % 0.82/0.99 apply (zenon_L326_); trivial. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_Hd | zenon_intro zenon_H66 ]. % 0.82/0.99 apply (zenon_L93_); trivial. % 0.82/0.99 apply (zenon_L26_); trivial. % 0.82/0.99 (* end of lemma zenon_L327_ *) % 0.82/0.99 assert (zenon_L328_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a407))/\((c2_1 (a407))/\(c3_1 (a407)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11))) -> (c3_1 (a416)) -> (~(c0_1 (a416))) -> (~(hskp0)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp0)\/(hskp11))) -> (c1_1 (a426)) -> (c0_1 (a426)) -> (~(c2_1 (a426))) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(hskp22)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp26)\/(hskp5))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a404))) -> (c0_1 (a404)) -> (c3_1 (a404)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (ndr1_0) -> (~(c0_1 (a445))) -> (c1_1 (a445)) -> (c3_1 (a445)) -> (~(c1_1 (a415))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> False). % 0.82/0.99 do 0 intro. intros zenon_H71 zenon_Hce zenon_H1ed zenon_H15c zenon_H138 zenon_H136 zenon_H1e zenon_H15b zenon_H202 zenon_H201 zenon_H200 zenon_Hfe zenon_H87 zenon_Hfc zenon_Hb3 zenon_H40 zenon_H24e zenon_H1f2 zenon_H1f3 zenon_H1f4 zenon_H209 zenon_H232 zenon_H233 zenon_H234 zenon_Ha zenon_Hd4 zenon_Hd5 zenon_Hd6 zenon_H197 zenon_H198 zenon_H199 zenon_H118 zenon_H246 zenon_H33. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.82/0.99 apply (zenon_L325_); trivial. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_Ha. zenon_intro zenon_H6e. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_Hf. zenon_intro zenon_H6f. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.82/0.99 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hc9 ]. % 0.82/0.99 apply (zenon_L266_); trivial. % 0.82/0.99 apply (zenon_L327_); trivial. % 0.82/0.99 (* end of lemma zenon_L328_ *) % 0.82/0.99 assert (zenon_L329_ : (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39)))))) -> (ndr1_0) -> (~(c1_1 (a402))) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (c0_1 (a402)) -> False). % 0.82/0.99 do 0 intro. intros zenon_H114 zenon_Ha zenon_H234 zenon_H10a zenon_H232. % 0.82/0.99 generalize (zenon_H114 (a402)). zenon_intro zenon_H235. % 0.82/0.99 apply (zenon_imply_s _ _ zenon_H235); [ zenon_intro zenon_H9 | zenon_intro zenon_H236 ]. % 0.82/0.99 exact (zenon_H9 zenon_Ha). % 0.82/0.99 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H238 | zenon_intro zenon_H237 ]. % 0.82/0.99 exact (zenon_H234 zenon_H238). % 0.82/0.99 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H23a | zenon_intro zenon_H239 ]. % 0.82/0.99 generalize (zenon_H10a (a402)). zenon_intro zenon_H277. % 0.82/0.99 apply (zenon_imply_s _ _ zenon_H277); [ zenon_intro zenon_H9 | zenon_intro zenon_H278 ]. % 0.82/0.99 exact (zenon_H9 zenon_Ha). % 0.82/0.99 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H238 | zenon_intro zenon_H23d ]. % 0.82/0.99 exact (zenon_H234 zenon_H238). % 0.82/0.99 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H239 | zenon_intro zenon_H23f ]. % 0.82/0.99 exact (zenon_H239 zenon_H232). % 0.82/0.99 exact (zenon_H23f zenon_H23a). % 0.82/0.99 exact (zenon_H239 zenon_H232). % 0.82/0.99 (* end of lemma zenon_L329_ *) % 0.82/0.99 assert (zenon_L330_ : ((ndr1_0)/\((c1_1 (a407))/\((c2_1 (a407))/\(c3_1 (a407))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c1_1 (a426)) -> (c0_1 (a426)) -> (~(c2_1 (a426))) -> (~(c1_1 (a415))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c2_1 (a402))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp1))) -> (~(hskp3)) -> (~(c1_1 (a451))) -> (c0_1 (a451)) -> (c2_1 (a451)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp3))) -> (c0_1 (a402)) -> (~(c1_1 (a402))) -> (~(hskp1)) -> False). % 0.82/0.99 do 0 intro. intros zenon_Hc9 zenon_H24e zenon_H246 zenon_H202 zenon_H201 zenon_H200 zenon_H197 zenon_H198 zenon_H199 zenon_H118 zenon_H233 zenon_H185 zenon_H42 zenon_H10b zenon_H10c zenon_H11d zenon_H256 zenon_H232 zenon_H234 zenon_Hc7. % 0.82/0.99 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 0.82/0.99 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 0.82/0.99 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H24f ]. % 0.82/0.99 apply (zenon_L326_); trivial. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H240 | zenon_intro zenon_H10a ]. % 0.82/0.99 apply (zenon_L249_); trivial. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hdf | zenon_intro zenon_H186 ]. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H17c | zenon_intro zenon_H257 ]. % 0.82/0.99 apply (zenon_L106_); trivial. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H43 ]. % 0.82/0.99 generalize (zenon_Hf3 (a407)). zenon_intro zenon_H279. % 0.82/0.99 apply (zenon_imply_s _ _ zenon_H279); [ zenon_intro zenon_H9 | zenon_intro zenon_H27a ]. % 0.82/0.99 exact (zenon_H9 zenon_Ha). % 0.82/0.99 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hc2 ]. % 0.82/0.99 generalize (zenon_Hdf (a407)). zenon_intro zenon_H27b. % 0.82/0.99 apply (zenon_imply_s _ _ zenon_H27b); [ zenon_intro zenon_H9 | zenon_intro zenon_H27c ]. % 0.82/0.99 exact (zenon_H9 zenon_Ha). % 0.82/0.99 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hbe ]. % 0.82/0.99 exact (zenon_Hbf zenon_Hc3). % 0.82/0.99 apply (zenon_or_s _ _ zenon_Hbe); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hc5 ]. % 0.82/0.99 exact (zenon_Hc6 zenon_Hbb). % 0.82/0.99 exact (zenon_Hc5 zenon_Hb9). % 0.82/0.99 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hc4 ]. % 0.82/0.99 exact (zenon_Hc5 zenon_Hb9). % 0.82/0.99 exact (zenon_Hc4 zenon_Hba). % 0.82/0.99 exact (zenon_H42 zenon_H43). % 0.82/0.99 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H114 | zenon_intro zenon_Hc8 ]. % 0.82/0.99 apply (zenon_L329_); trivial. % 0.82/0.99 exact (zenon_Hc7 zenon_Hc8). % 0.82/0.99 (* end of lemma zenon_L330_ *) % 0.82/0.99 assert (zenon_L331_ : ((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a407))/\((c2_1 (a407))/\(c3_1 (a407)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp1)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c1_1 (a426)) -> (c0_1 (a426)) -> (~(c2_1 (a426))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (~(c1_1 (a415))) -> (c3_1 (a445)) -> (c1_1 (a445)) -> (~(c0_1 (a445))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp26)\/(hskp5))) -> False). % 0.82/0.99 do 0 intro. intros zenon_H119 zenon_Hce zenon_H24e zenon_H256 zenon_H42 zenon_Hc7 zenon_H185 zenon_H246 zenon_H202 zenon_H201 zenon_H200 zenon_H232 zenon_H233 zenon_H234 zenon_H118 zenon_H199 zenon_H198 zenon_H197 zenon_Hd6 zenon_Hd5 zenon_Hd4 zenon_H40 zenon_Hb3. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_Ha. zenon_intro zenon_H11b. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10c. zenon_intro zenon_H11c. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H11d. zenon_intro zenon_H10b. % 0.82/0.99 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hc9 ]. % 0.82/0.99 apply (zenon_L126_); trivial. % 0.82/0.99 apply (zenon_L330_); trivial. % 0.82/0.99 (* end of lemma zenon_L331_ *) % 0.82/0.99 assert (zenon_L332_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a426))/\((c1_1 (a426))/\(~(c2_1 (a426))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp1))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (~(c1_1 (a415))) -> (c3_1 (a404)) -> (c0_1 (a404)) -> (~(c2_1 (a404))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp26)\/(hskp5))) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a407))/\((c2_1 (a407))/\(c3_1 (a407)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp0)\/(hskp11))) -> (~(hskp0)) -> (~(c0_1 (a416))) -> (c3_1 (a416)) -> (~(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> (ndr1_0) -> (~(c1_1 (a410))) -> (~(c3_1 (a410))) -> (c0_1 (a410)) -> (~(hskp1)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp12)\/(hskp1))) -> False). % 0.82/0.99 do 0 intro. intros zenon_H217 zenon_H18a zenon_H120 zenon_H256 zenon_H42 zenon_H185 zenon_H118 zenon_H199 zenon_H198 zenon_H197 zenon_H1f4 zenon_H1f3 zenon_H1f2 zenon_H24e zenon_H40 zenon_Hb3 zenon_Hfe zenon_H1ed zenon_Hce zenon_H33 zenon_H246 zenon_H232 zenon_H233 zenon_H234 zenon_H209 zenon_H2f zenon_H15b zenon_H1e zenon_H136 zenon_H138 zenon_H87 zenon_H15c zenon_H34 zenon_H49 zenon_H71 zenon_Ha zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_Hc7 zenon_H226. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.82/0.99 apply (zenon_L222_); trivial. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Ha. zenon_intro zenon_H219. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H201. zenon_intro zenon_H21a. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H202. zenon_intro zenon_H200. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/0.99 apply (zenon_L321_); trivial. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Ha. zenon_intro zenon_H121. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Hd5. zenon_intro zenon_H122. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_Hd6. zenon_intro zenon_Hd4. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.82/0.99 apply (zenon_L328_); trivial. % 0.82/0.99 apply (zenon_L331_); trivial. % 0.82/0.99 (* end of lemma zenon_L332_ *) % 0.82/0.99 assert (zenon_L333_ : ((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp0))) -> (~(c2_1 (a420))) -> (~(c1_1 (a420))) -> (~(c0_1 (a420))) -> (~(hskp10)) -> (~(c0_1 (a416))) -> (c3_1 (a416)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp0)) -> False). % 0.82/0.99 do 0 intro. intros zenon_H78 zenon_H1e3 zenon_H126 zenon_H125 zenon_H124 zenon_H152 zenon_H136 zenon_H138 zenon_H154 zenon_H1e. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H7a. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H50. zenon_intro zenon_H7b. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H4f. zenon_intro zenon_H52. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H123 | zenon_intro zenon_H1e4 ]. % 0.82/0.99 apply (zenon_L77_); trivial. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H1f ]. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H36 | zenon_intro zenon_H155 ]. % 0.82/0.99 apply (zenon_L92_); trivial. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H72 | zenon_intro zenon_H153 ]. % 0.82/0.99 apply (zenon_L30_); trivial. % 0.82/0.99 exact (zenon_H152 zenon_H153). % 0.82/0.99 exact (zenon_H1e zenon_H1f). % 0.82/0.99 (* end of lemma zenon_L333_ *) % 0.82/0.99 assert (zenon_L334_ : (forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35)))))) -> (ndr1_0) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V)))))) -> (~(c0_1 (a445))) -> (c3_1 (a445)) -> (c1_1 (a445)) -> False). % 0.82/0.99 do 0 intro. intros zenon_H72 zenon_Ha zenon_Hb8 zenon_Hd4 zenon_Hd6 zenon_Hd5. % 0.82/0.99 generalize (zenon_H72 (a445)). zenon_intro zenon_H27d. % 0.82/0.99 apply (zenon_imply_s _ _ zenon_H27d); [ zenon_intro zenon_H9 | zenon_intro zenon_H27e ]. % 0.82/0.99 exact (zenon_H9 zenon_Ha). % 0.82/0.99 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H1b3 | zenon_intro zenon_Hd9 ]. % 0.82/0.99 generalize (zenon_Hb8 (a445)). zenon_intro zenon_H27f. % 0.82/0.99 apply (zenon_imply_s _ _ zenon_H27f); [ zenon_intro zenon_H9 | zenon_intro zenon_H280 ]. % 0.82/0.99 exact (zenon_H9 zenon_Ha). % 0.82/0.99 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_Hda | zenon_intro zenon_H1ae ]. % 0.82/0.99 exact (zenon_Hd4 zenon_Hda). % 0.82/0.99 apply (zenon_or_s _ _ zenon_H1ae); [ zenon_intro zenon_H1af | zenon_intro zenon_Hdb ]. % 0.82/0.99 exact (zenon_H1af zenon_H1b3). % 0.82/0.99 exact (zenon_Hdb zenon_Hd6). % 0.82/0.99 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hdb ]. % 0.82/0.99 exact (zenon_Hdc zenon_Hd5). % 0.82/0.99 exact (zenon_Hdb zenon_Hd6). % 0.82/0.99 (* end of lemma zenon_L334_ *) % 0.82/0.99 assert (zenon_L335_ : ((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp0))) -> (~(c2_1 (a420))) -> (~(c1_1 (a420))) -> (~(c0_1 (a420))) -> (~(hskp10)) -> (~(c0_1 (a416))) -> (c3_1 (a416)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp0)) -> False). % 0.82/0.99 do 0 intro. intros zenon_H11f zenon_H1e3 zenon_H126 zenon_H125 zenon_H124 zenon_H152 zenon_H136 zenon_H138 zenon_H154 zenon_H1e. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Ha. zenon_intro zenon_H121. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Hd5. zenon_intro zenon_H122. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_Hd6. zenon_intro zenon_Hd4. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H123 | zenon_intro zenon_H1e4 ]. % 0.82/0.99 apply (zenon_L77_); trivial. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H1f ]. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H36 | zenon_intro zenon_H155 ]. % 0.82/0.99 apply (zenon_L92_); trivial. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H72 | zenon_intro zenon_H153 ]. % 0.82/0.99 apply (zenon_L334_); trivial. % 0.82/0.99 exact (zenon_H152 zenon_H153). % 0.82/0.99 exact (zenon_H1e zenon_H1f). % 0.82/0.99 (* end of lemma zenon_L335_ *) % 0.82/0.99 assert (zenon_L336_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp5)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c1_1 (a426)) -> (c0_1 (a426)) -> (~(c2_1 (a426))) -> (~(c0_1 (a420))) -> (~(c1_1 (a420))) -> (~(c2_1 (a420))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp26)\/(hskp5))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (~(c1_1 (a415))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a407))/\((c2_1 (a407))/\(c3_1 (a407)))))) -> (~(hskp18)) -> ((hskp18)\/((hskp20)\/(hskp23))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> (c3_1 (a416)) -> (~(c0_1 (a416))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> False). % 0.82/0.99 do 0 intro. intros zenon_H18a zenon_H71 zenon_H49 zenon_H45 zenon_H42 zenon_H33 zenon_H246 zenon_H202 zenon_H201 zenon_H200 zenon_H124 zenon_H125 zenon_H126 zenon_H34 zenon_H1e zenon_H24e zenon_H40 zenon_Hb3 zenon_H232 zenon_H233 zenon_H234 zenon_H197 zenon_H199 zenon_H198 zenon_H258 zenon_H2f zenon_H1e3 zenon_Hce zenon_H1 zenon_H7 zenon_H154 zenon_H152 zenon_H138 zenon_H136 zenon_H8f. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.82/0.99 apply (zenon_L4_); trivial. % 0.82/0.99 apply (zenon_L282_); trivial. % 0.82/0.99 apply (zenon_L333_); trivial. % 0.82/0.99 apply (zenon_L335_); trivial. % 0.82/0.99 (* end of lemma zenon_L336_ *) % 0.82/0.99 assert (zenon_L337_ : ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp22))) -> (c0_1 (a440)) -> (~(c3_1 (a440))) -> (~(c2_1 (a440))) -> (c1_1 (a445)) -> (c3_1 (a445)) -> (~(c0_1 (a445))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V)))))) -> (ndr1_0) -> (~(hskp22)) -> False). % 0.82/0.99 do 0 intro. intros zenon_H261 zenon_H80 zenon_H7f zenon_H7e zenon_Hd5 zenon_Hd6 zenon_Hd4 zenon_Hb8 zenon_Ha zenon_Hfc. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H7d | zenon_intro zenon_H262 ]. % 0.82/0.99 apply (zenon_L33_); trivial. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H72 | zenon_intro zenon_Hfd ]. % 0.82/0.99 apply (zenon_L334_); trivial. % 0.82/0.99 exact (zenon_Hfc zenon_Hfd). % 0.82/0.99 (* end of lemma zenon_L337_ *) % 0.82/0.99 assert (zenon_L338_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp0))) -> (~(c2_1 (a420))) -> (~(c1_1 (a420))) -> (~(c0_1 (a420))) -> (~(hskp22)) -> (ndr1_0) -> (~(c0_1 (a445))) -> (c3_1 (a445)) -> (c1_1 (a445)) -> (~(c2_1 (a440))) -> (~(c3_1 (a440))) -> (c0_1 (a440)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp22))) -> (~(hskp0)) -> False). % 0.82/0.99 do 0 intro. intros zenon_H1e3 zenon_H126 zenon_H125 zenon_H124 zenon_Hfc zenon_Ha zenon_Hd4 zenon_Hd6 zenon_Hd5 zenon_H7e zenon_H7f zenon_H80 zenon_H261 zenon_H1e. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H123 | zenon_intro zenon_H1e4 ]. % 0.82/0.99 apply (zenon_L77_); trivial. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H1f ]. % 0.82/0.99 apply (zenon_L337_); trivial. % 0.82/0.99 exact (zenon_H1e zenon_H1f). % 0.82/0.99 (* end of lemma zenon_L338_ *) % 0.82/0.99 assert (zenon_L339_ : ((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a407))/\((c2_1 (a407))/\(c3_1 (a407)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp3))) -> (~(hskp3)) -> (~(hskp1)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp1))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c1_1 (a426)) -> (c0_1 (a426)) -> (~(c2_1 (a426))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (~(c1_1 (a415))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp26)\/(hskp5))) -> (~(c0_1 (a420))) -> (~(c1_1 (a420))) -> (~(c2_1 (a420))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp22))) -> (c0_1 (a440)) -> (~(c3_1 (a440))) -> (~(c2_1 (a440))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp0))) -> False). % 0.82/0.99 do 0 intro. intros zenon_H11f zenon_H120 zenon_Hce zenon_H24e zenon_H256 zenon_H42 zenon_Hc7 zenon_H185 zenon_H246 zenon_H202 zenon_H201 zenon_H200 zenon_H232 zenon_H233 zenon_H234 zenon_H118 zenon_H199 zenon_H198 zenon_H197 zenon_H40 zenon_Hb3 zenon_H124 zenon_H125 zenon_H126 zenon_H261 zenon_H80 zenon_H7f zenon_H7e zenon_H1e zenon_H1e3. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Ha. zenon_intro zenon_H121. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Hd5. zenon_intro zenon_H122. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_Hd6. zenon_intro zenon_Hd4. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.82/0.99 apply (zenon_L338_); trivial. % 0.82/0.99 apply (zenon_L331_); trivial. % 0.82/0.99 (* end of lemma zenon_L339_ *) % 0.82/0.99 assert (zenon_L340_ : ((ndr1_0)/\((c0_1 (a440))/\((~(c2_1 (a440)))/\(~(c3_1 (a440)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp3))) -> (~(hskp1)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp1))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp22))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (~(c2_1 (a426))) -> (c0_1 (a426)) -> (c1_1 (a426)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a407))/\((c2_1 (a407))/\(c3_1 (a407)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp0))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> (~(c1_1 (a415))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp26)\/(hskp5))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> (~(c2_1 (a420))) -> (~(c1_1 (a420))) -> (~(c0_1 (a420))) -> (~(hskp3)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp5)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> False). % 0.82/0.99 do 0 intro. intros zenon_H8b zenon_H18a zenon_H120 zenon_H256 zenon_Hc7 zenon_H185 zenon_H118 zenon_H261 zenon_H33 zenon_H246 zenon_H232 zenon_H233 zenon_H234 zenon_H200 zenon_H201 zenon_H202 zenon_H209 zenon_Hce zenon_H1e3 zenon_H2f zenon_H258 zenon_H198 zenon_H199 zenon_H197 zenon_Hb3 zenon_H40 zenon_H24e zenon_H1e zenon_H34 zenon_H126 zenon_H125 zenon_H124 zenon_H42 zenon_H45 zenon_H49 zenon_H71. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Ha. zenon_intro zenon_H8c. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H80. zenon_intro zenon_H8d. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7e. zenon_intro zenon_H7f. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/0.99 apply (zenon_L283_); trivial. % 0.82/0.99 apply (zenon_L339_); trivial. % 0.82/0.99 (* end of lemma zenon_L340_ *) % 0.82/0.99 assert (zenon_L341_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp0))) -> (~(c2_1 (a420))) -> (~(c1_1 (a420))) -> (~(c0_1 (a420))) -> (~(hskp28)) -> (ndr1_0) -> (~(c0_1 (a416))) -> (~(c1_1 (a416))) -> (c3_1 (a416)) -> (~(c0_1 (a418))) -> (~(c2_1 (a418))) -> (c1_1 (a418)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/(hskp28))) -> (~(hskp0)) -> False). % 0.82/0.99 do 0 intro. intros zenon_H1e3 zenon_H126 zenon_H125 zenon_H124 zenon_H16b zenon_Ha zenon_H136 zenon_H137 zenon_H138 zenon_H15f zenon_H160 zenon_H161 zenon_H16d zenon_H1e. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H123 | zenon_intro zenon_H1e4 ]. % 0.82/0.99 apply (zenon_L77_); trivial. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H1f ]. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H51 | zenon_intro zenon_H16e ]. % 0.82/0.99 apply (zenon_L98_); trivial. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H168 | zenon_intro zenon_H16c ]. % 0.82/0.99 apply (zenon_L134_); trivial. % 0.82/0.99 exact (zenon_H16b zenon_H16c). % 0.82/0.99 exact (zenon_H1e zenon_H1f). % 0.82/0.99 (* end of lemma zenon_L341_ *) % 0.82/0.99 assert (zenon_L342_ : (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(c1_1 (a414))) -> (c0_1 (a414)) -> (c3_1 (a414)) -> False). % 0.82/0.99 do 0 intro. intros zenon_H10a zenon_Ha zenon_H281 zenon_H16f zenon_H171. % 0.82/0.99 generalize (zenon_H10a (a414)). zenon_intro zenon_H282. % 0.82/0.99 apply (zenon_imply_s _ _ zenon_H282); [ zenon_intro zenon_H9 | zenon_intro zenon_H283 ]. % 0.82/0.99 exact (zenon_H9 zenon_Ha). % 0.82/0.99 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H285 | zenon_intro zenon_H284 ]. % 0.82/0.99 exact (zenon_H281 zenon_H285). % 0.82/0.99 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H175 | zenon_intro zenon_H176 ]. % 0.82/0.99 exact (zenon_H175 zenon_H16f). % 0.82/0.99 exact (zenon_H176 zenon_H171). % 0.82/0.99 (* end of lemma zenon_L342_ *) % 0.82/0.99 assert (zenon_L343_ : (forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))) -> (ndr1_0) -> (c0_1 (a414)) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (c3_1 (a414)) -> (c2_1 (a414)) -> False). % 0.82/0.99 do 0 intro. intros zenon_H20 zenon_Ha zenon_H16f zenon_H10a zenon_H171 zenon_H170. % 0.82/0.99 generalize (zenon_H20 (a414)). zenon_intro zenon_H286. % 0.82/0.99 apply (zenon_imply_s _ _ zenon_H286); [ zenon_intro zenon_H9 | zenon_intro zenon_H287 ]. % 0.82/0.99 exact (zenon_H9 zenon_Ha). % 0.82/0.99 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H175 | zenon_intro zenon_H288 ]. % 0.82/0.99 exact (zenon_H175 zenon_H16f). % 0.82/0.99 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H281 | zenon_intro zenon_H177 ]. % 0.82/0.99 apply (zenon_L342_); trivial. % 0.82/0.99 exact (zenon_H177 zenon_H170). % 0.82/0.99 (* end of lemma zenon_L343_ *) % 0.82/0.99 assert (zenon_L344_ : ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (c1_1 (a426)) -> (c0_1 (a426)) -> (~(c2_1 (a426))) -> (ndr1_0) -> (c0_1 (a414)) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (c3_1 (a414)) -> (c2_1 (a414)) -> False). % 0.82/0.99 do 0 intro. intros zenon_H246 zenon_H232 zenon_H233 zenon_H234 zenon_H202 zenon_H201 zenon_H200 zenon_Ha zenon_H16f zenon_H10a zenon_H171 zenon_H170. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H240 | zenon_intro zenon_H247 ]. % 0.82/0.99 apply (zenon_L249_); trivial. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1ff | zenon_intro zenon_H20 ]. % 0.82/0.99 apply (zenon_L161_); trivial. % 0.82/0.99 apply (zenon_L343_); trivial. % 0.82/0.99 (* end of lemma zenon_L344_ *) % 0.82/0.99 assert (zenon_L345_ : ((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> (~(c2_1 (a426))) -> (c0_1 (a426)) -> (c1_1 (a426)) -> (c1_1 (a407)) -> (c3_1 (a407)) -> (c2_1 (a407)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> False). % 0.82/0.99 do 0 intro. intros zenon_H178 zenon_H118 zenon_H234 zenon_H233 zenon_H232 zenon_H200 zenon_H201 zenon_H202 zenon_Hbb zenon_Hba zenon_Hb9 zenon_H246. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_Ha. zenon_intro zenon_H179. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H16f. zenon_intro zenon_H17a. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H10a ]. % 0.82/0.99 apply (zenon_L268_); trivial. % 0.82/0.99 apply (zenon_L344_); trivial. % 0.82/0.99 (* end of lemma zenon_L345_ *) % 0.82/0.99 assert (zenon_L346_ : ((ndr1_0)/\((c1_1 (a407))/\((c2_1 (a407))/\(c3_1 (a407))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> (~(c2_1 (a426))) -> (c0_1 (a426)) -> (c1_1 (a426)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (~(c0_1 (a420))) -> (~(c1_1 (a420))) -> (~(c2_1 (a420))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/(hskp28))) -> (c3_1 (a416)) -> (~(c1_1 (a416))) -> (~(c0_1 (a416))) -> (c1_1 (a418)) -> (~(c2_1 (a418))) -> (~(c0_1 (a418))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp0))) -> False). % 0.82/0.99 do 0 intro. intros zenon_Hc9 zenon_H17b zenon_H118 zenon_H234 zenon_H233 zenon_H232 zenon_H200 zenon_H201 zenon_H202 zenon_H246 zenon_H124 zenon_H125 zenon_H126 zenon_H16d zenon_H138 zenon_H137 zenon_H136 zenon_H161 zenon_H160 zenon_H15f zenon_H1e zenon_H1e3. % 0.82/0.99 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 0.82/0.99 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 0.82/0.99 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H16b | zenon_intro zenon_H178 ]. % 0.82/0.99 apply (zenon_L341_); trivial. % 0.82/0.99 apply (zenon_L345_); trivial. % 0.82/0.99 (* end of lemma zenon_L346_ *) % 0.82/0.99 assert (zenon_L347_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (~(hskp24)) -> (~(hskp19)) -> (ndr1_0) -> (~(c0_1 (a420))) -> (~(c1_1 (a420))) -> (~(c2_1 (a420))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> (~(hskp0)) -> (c1_1 (a460)) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp26)) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp26)\/(hskp5))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (~(c1_1 (a415))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> False). % 0.82/0.99 do 0 intro. intros zenon_H33 zenon_H2f zenon_H2c zenon_H2a zenon_Ha zenon_H124 zenon_H125 zenon_H126 zenon_H34 zenon_H1e zenon_Hf zenon_He zenon_Hc zenon_H24e zenon_Hb1 zenon_H40 zenon_Hb3 zenon_H232 zenon_H233 zenon_H234 zenon_H197 zenon_H199 zenon_H198 zenon_H258. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H1c | zenon_intro zenon_H2e ]. % 0.82/0.99 apply (zenon_L278_); trivial. % 0.82/0.99 apply (zenon_L13_); trivial. % 0.82/0.99 (* end of lemma zenon_L347_ *) % 0.82/0.99 assert (zenon_L348_ : ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> (ndr1_0) -> (~(c0_1 (a477))) -> (~(c2_1 (a477))) -> (c3_1 (a477)) -> (~(c1_1 (a415))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> (~(c2_1 (a440))) -> (~(c3_1 (a440))) -> (c0_1 (a440)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69)))))))) -> False). % 0.82/0.99 do 0 intro. intros zenon_H118 zenon_Ha7 zenon_Ha zenon_H37 zenon_H38 zenon_H39 zenon_H197 zenon_H198 zenon_H199 zenon_H7e zenon_H7f zenon_H80 zenon_H289. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H10a ]. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H168 | zenon_intro zenon_H28a ]. % 0.82/0.99 apply (zenon_L191_); trivial. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_Hea | zenon_intro zenon_H7d ]. % 0.82/0.99 apply (zenon_L113_); trivial. % 0.82/0.99 apply (zenon_L33_); trivial. % 0.82/0.99 apply (zenon_L124_); trivial. % 0.82/0.99 (* end of lemma zenon_L348_ *) % 0.82/0.99 assert (zenon_L349_ : ((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69)))))))) -> (c0_1 (a440)) -> (~(c3_1 (a440))) -> (~(c2_1 (a440))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (~(c1_1 (a415))) -> (c3_1 (a477)) -> (~(c2_1 (a477))) -> (~(c0_1 (a477))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (c3_1 (a404)) -> (c0_1 (a404)) -> (~(c2_1 (a404))) -> False). % 0.82/0.99 do 0 intro. intros zenon_H2e zenon_H24e zenon_H289 zenon_H80 zenon_H7f zenon_H7e zenon_H199 zenon_H198 zenon_H197 zenon_H39 zenon_H38 zenon_H37 zenon_H118 zenon_H246 zenon_H232 zenon_H233 zenon_H234 zenon_H1f4 zenon_H1f3 zenon_H1f2. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_Ha. zenon_intro zenon_H30. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H21. zenon_intro zenon_H31. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H22. zenon_intro zenon_H23. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H24f ]. % 0.82/0.99 apply (zenon_L348_); trivial. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H240 | zenon_intro zenon_H10a ]. % 0.82/0.99 apply (zenon_L249_); trivial. % 0.82/0.99 apply (zenon_L310_); trivial. % 0.82/0.99 (* end of lemma zenon_L349_ *) % 0.82/0.99 assert (zenon_L350_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> (~(c2_1 (a404))) -> (c0_1 (a404)) -> (c3_1 (a404)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69)))))))) -> (c0_1 (a440)) -> (~(c3_1 (a440))) -> (~(c2_1 (a440))) -> (c3_1 (a477)) -> (~(c2_1 (a477))) -> (~(c0_1 (a477))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (ndr1_0) -> (~(c0_1 (a420))) -> (~(c1_1 (a420))) -> (~(c2_1 (a420))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> (~(hskp0)) -> (c1_1 (a460)) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp26)) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp26)\/(hskp5))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (~(c1_1 (a415))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> False). % 0.82/0.99 do 0 intro. intros zenon_H33 zenon_H1f2 zenon_H1f3 zenon_H1f4 zenon_H246 zenon_H289 zenon_H80 zenon_H7f zenon_H7e zenon_H39 zenon_H38 zenon_H37 zenon_H118 zenon_Ha zenon_H124 zenon_H125 zenon_H126 zenon_H34 zenon_H1e zenon_Hf zenon_He zenon_Hc zenon_H24e zenon_Hb1 zenon_H40 zenon_Hb3 zenon_H232 zenon_H233 zenon_H234 zenon_H197 zenon_H199 zenon_H198 zenon_H258. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H1c | zenon_intro zenon_H2e ]. % 0.82/0.99 apply (zenon_L278_); trivial. % 0.82/0.99 apply (zenon_L349_); trivial. % 0.82/0.99 (* end of lemma zenon_L350_ *) % 0.82/0.99 assert (zenon_L351_ : ((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> (~(c2_1 (a426))) -> (c0_1 (a426)) -> (c1_1 (a426)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c3_1 (a445)) -> (c1_1 (a445)) -> (~(c0_1 (a445))) -> False). % 0.82/0.99 do 0 intro. intros zenon_H178 zenon_H118 zenon_H234 zenon_H233 zenon_H232 zenon_H200 zenon_H201 zenon_H202 zenon_H246 zenon_Hd6 zenon_Hd5 zenon_Hd4. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_Ha. zenon_intro zenon_H179. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H16f. zenon_intro zenon_H17a. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H10a ]. % 0.82/0.99 apply (zenon_L59_); trivial. % 0.82/0.99 apply (zenon_L344_); trivial. % 0.82/0.99 (* end of lemma zenon_L351_ *) % 0.82/0.99 assert (zenon_L352_ : ((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> (~(c2_1 (a426))) -> (c0_1 (a426)) -> (c1_1 (a426)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (~(c0_1 (a420))) -> (~(c1_1 (a420))) -> (~(c2_1 (a420))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/(hskp28))) -> (c3_1 (a416)) -> (~(c1_1 (a416))) -> (~(c0_1 (a416))) -> (c1_1 (a418)) -> (~(c2_1 (a418))) -> (~(c0_1 (a418))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp0))) -> False). % 0.82/0.99 do 0 intro. intros zenon_H11f zenon_H17b zenon_H118 zenon_H234 zenon_H233 zenon_H232 zenon_H200 zenon_H201 zenon_H202 zenon_H246 zenon_H124 zenon_H125 zenon_H126 zenon_H16d zenon_H138 zenon_H137 zenon_H136 zenon_H161 zenon_H160 zenon_H15f zenon_H1e zenon_H1e3. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Ha. zenon_intro zenon_H121. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Hd5. zenon_intro zenon_H122. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_Hd6. zenon_intro zenon_Hd4. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H16b | zenon_intro zenon_H178 ]. % 0.82/0.99 apply (zenon_L341_); trivial. % 0.82/0.99 apply (zenon_L351_); trivial. % 0.82/0.99 (* end of lemma zenon_L352_ *) % 0.82/0.99 assert (zenon_L353_ : ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> (~(c2_1 (a404))) -> (c0_1 (a404)) -> (c3_1 (a404)) -> (c0_1 (a412)) -> (c1_1 (a412)) -> (c2_1 (a412)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c3_1 (a408)) -> (c2_1 (a408)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> (~(c0_1 (a408))) -> (ndr1_0) -> False). % 0.82/0.99 do 0 intro. intros zenon_H118 zenon_H234 zenon_H233 zenon_H232 zenon_H1f2 zenon_H1f3 zenon_H1f4 zenon_H21 zenon_H22 zenon_H23 zenon_H246 zenon_H1dc zenon_H1db zenon_Ha7 zenon_H1da zenon_Ha. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H10a ]. % 0.82/0.99 apply (zenon_L223_); trivial. % 0.82/0.99 apply (zenon_L310_); trivial. % 0.82/0.99 (* end of lemma zenon_L353_ *) % 0.82/0.99 assert (zenon_L354_ : ((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a408))) -> (c2_1 (a408)) -> (c3_1 (a408)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (c3_1 (a404)) -> (c0_1 (a404)) -> (~(c2_1 (a404))) -> False). % 0.82/0.99 do 0 intro. intros zenon_H2e zenon_H24e zenon_H1da zenon_H1db zenon_H1dc zenon_H118 zenon_H246 zenon_H232 zenon_H233 zenon_H234 zenon_H1f4 zenon_H1f3 zenon_H1f2. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_Ha. zenon_intro zenon_H30. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H21. zenon_intro zenon_H31. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H22. zenon_intro zenon_H23. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H24f ]. % 0.82/0.99 apply (zenon_L353_); trivial. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H240 | zenon_intro zenon_H10a ]. % 0.82/0.99 apply (zenon_L249_); trivial. % 0.82/0.99 apply (zenon_L310_); trivial. % 0.82/0.99 (* end of lemma zenon_L354_ *) % 0.82/0.99 assert (zenon_L355_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a408)) -> (c2_1 (a408)) -> (~(c0_1 (a408))) -> (ndr1_0) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a404)) -> (c0_1 (a404)) -> (~(c2_1 (a404))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> False). % 0.82/0.99 do 0 intro. intros zenon_H33 zenon_H246 zenon_H118 zenon_Hdd zenon_H62 zenon_H1dc zenon_H1db zenon_H1da zenon_Ha zenon_H234 zenon_H233 zenon_H232 zenon_H209 zenon_H5 zenon_H1f4 zenon_H1f3 zenon_H1f2 zenon_H24e. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H1c | zenon_intro zenon_H2e ]. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H24f ]. % 0.82/0.99 apply (zenon_L224_); trivial. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H240 | zenon_intro zenon_H10a ]. % 0.82/0.99 apply (zenon_L249_); trivial. % 0.82/0.99 apply (zenon_L322_); trivial. % 0.82/0.99 apply (zenon_L354_); trivial. % 0.82/0.99 (* end of lemma zenon_L355_ *) % 0.82/0.99 assert (zenon_L356_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp0)\/(hskp11))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))))) -> (~(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a404))) -> (c0_1 (a404)) -> (c3_1 (a404)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (ndr1_0) -> (~(c0_1 (a408))) -> (c2_1 (a408)) -> (c3_1 (a408)) -> (~(hskp9)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> False). % 0.82/0.99 do 0 intro. intros zenon_H71 zenon_H49 zenon_H15b zenon_H1e zenon_H1ed zenon_H87 zenon_H15c zenon_H2a zenon_H2f zenon_H24e zenon_H1f2 zenon_H1f3 zenon_H1f4 zenon_H209 zenon_H232 zenon_H233 zenon_H234 zenon_Ha zenon_H1da zenon_H1db zenon_H1dc zenon_H62 zenon_Hdd zenon_H118 zenon_H246 zenon_H33. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.82/0.99 apply (zenon_L355_); trivial. % 0.82/0.99 apply (zenon_L225_); trivial. % 0.82/0.99 (* end of lemma zenon_L356_ *) % 0.82/0.99 assert (zenon_L357_ : ((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a404))) -> (c0_1 (a404)) -> (c3_1 (a404)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (~(c1_1 (a415))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(hskp9)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> False). % 0.82/0.99 do 0 intro. intros zenon_H11f zenon_H33 zenon_H24e zenon_H1f2 zenon_H1f3 zenon_H1f4 zenon_H246 zenon_H232 zenon_H233 zenon_H234 zenon_H197 zenon_H198 zenon_H199 zenon_H118 zenon_H62 zenon_Hdd. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Ha. zenon_intro zenon_H121. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Hd5. zenon_intro zenon_H122. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_Hd6. zenon_intro zenon_Hd4. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H1c | zenon_intro zenon_H2e ]. % 0.82/0.99 apply (zenon_L60_); trivial. % 0.82/0.99 apply (zenon_L324_); trivial. % 0.82/0.99 (* end of lemma zenon_L357_ *) % 0.82/0.99 assert (zenon_L358_ : ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a420)))/\((~(c1_1 (a420)))/\(~(c2_1 (a420))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp0)\/(hskp11))) -> (~(hskp0)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a404))) -> (c0_1 (a404)) -> (c3_1 (a404)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (ndr1_0) -> (~(c0_1 (a408))) -> (c2_1 (a408)) -> (c3_1 (a408)) -> (~(hskp9)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (~(c1_1 (a415))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> False). % 0.82/0.99 do 0 intro. intros zenon_H18d zenon_H1e3 zenon_H71 zenon_H49 zenon_H15b zenon_H1e zenon_H1ed zenon_H15c zenon_H2f zenon_H24e zenon_H1f2 zenon_H1f3 zenon_H1f4 zenon_H209 zenon_H232 zenon_H233 zenon_H234 zenon_Ha zenon_H1da zenon_H1db zenon_H1dc zenon_H62 zenon_Hdd zenon_H118 zenon_H246 zenon_H33 zenon_H199 zenon_H198 zenon_H197 zenon_H18a. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/0.99 apply (zenon_L356_); trivial. % 0.82/0.99 apply (zenon_L357_); trivial. % 0.82/0.99 apply (zenon_L145_); trivial. % 0.82/0.99 (* end of lemma zenon_L358_ *) % 0.82/0.99 assert (zenon_L359_ : ((ndr1_0)/\((c0_1 (a426))/\((c1_1 (a426))/\(~(c2_1 (a426)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (~(c0_1 (a403))) -> (~(c2_1 (a403))) -> (~(c3_1 (a403))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> False). % 0.82/0.99 do 0 intro. intros zenon_H218 zenon_H33 zenon_H246 zenon_H232 zenon_H233 zenon_H234 zenon_H21d zenon_H21e zenon_H21f zenon_H1e zenon_H34. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Ha. zenon_intro zenon_H219. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H201. zenon_intro zenon_H21a. % 0.82/0.99 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H202. zenon_intro zenon_H200. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H1c | zenon_intro zenon_H2e ]. % 0.82/0.99 apply (zenon_L200_); trivial. % 0.82/0.99 apply (zenon_L252_); trivial. % 0.82/0.99 (* end of lemma zenon_L359_ *) % 0.82/0.99 assert (zenon_L360_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (~(hskp20)) -> (~(hskp22)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (ndr1_0) -> (~(c0_1 (a403))) -> (~(c2_1 (a403))) -> (~(c3_1 (a403))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> False). % 0.82/0.99 do 0 intro. intros zenon_H33 zenon_H1b zenon_H3 zenon_Hfc zenon_H87 zenon_Hfe zenon_Ha zenon_H21d zenon_H21e zenon_H21f zenon_H1e zenon_H34. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H1c | zenon_intro zenon_H2e ]. % 0.82/0.99 apply (zenon_L200_); trivial. % 0.82/0.99 apply (zenon_L163_); trivial. % 0.82/0.99 (* end of lemma zenon_L360_ *) % 0.82/0.99 assert (zenon_L361_ : ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp12)\/(hskp1))) -> (c0_1 (a451)) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (~(c1_1 (a451))) -> (ndr1_0) -> (~(hskp12)) -> (~(hskp1)) -> False). % 0.82/0.99 do 0 intro. intros zenon_H226 zenon_H10c zenon_H10a zenon_H10b zenon_Ha zenon_H1fb zenon_Hc7. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H226); [ zenon_intro zenon_H114 | zenon_intro zenon_H227 ]. % 0.82/0.99 apply (zenon_L73_); trivial. % 0.82/0.99 apply (zenon_or_s _ _ zenon_H227); [ zenon_intro zenon_H1fc | zenon_intro zenon_Hc8 ]. % 0.82/0.99 exact (zenon_H1fb zenon_H1fc). % 0.82/0.99 exact (zenon_Hc7 zenon_Hc8). % 0.82/0.99 (* end of lemma zenon_L361_ *) % 0.82/0.99 assert (zenon_L362_ : ((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a445))) -> (c1_1 (a445)) -> (c3_1 (a445)) -> (~(c1_1 (a415))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp12)\/(hskp1))) -> (~(hskp12)) -> (~(hskp1)) -> False). % 0.82/0.99 do 0 intro. intros zenon_H119 zenon_H24e zenon_Hd4 zenon_Hd5 zenon_Hd6 zenon_H197 zenon_H198 zenon_H199 zenon_H118 zenon_H232 zenon_H233 zenon_H234 zenon_H226 zenon_H1fb zenon_Hc7. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_Ha. zenon_intro zenon_H11b. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10c. zenon_intro zenon_H11c. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H11d. zenon_intro zenon_H10b. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H24f ]. % 0.82/1.00 apply (zenon_L125_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H240 | zenon_intro zenon_H10a ]. % 0.82/1.00 apply (zenon_L249_); trivial. % 0.82/1.00 apply (zenon_L361_); trivial. % 0.82/1.00 (* end of lemma zenon_L362_ *) % 0.82/1.00 assert (zenon_L363_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp12)) -> (~(hskp1)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp12)\/(hskp1))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (~(c0_1 (a445))) -> (c1_1 (a445)) -> (c3_1 (a445)) -> (~(c1_1 (a415))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> (~(hskp0)) -> (~(c3_1 (a403))) -> (~(c2_1 (a403))) -> (~(c0_1 (a403))) -> (ndr1_0) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(hskp20)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H120 zenon_H24e zenon_H1fb zenon_Hc7 zenon_H226 zenon_H232 zenon_H233 zenon_H234 zenon_Hd4 zenon_Hd5 zenon_Hd6 zenon_H197 zenon_H198 zenon_H199 zenon_H118 zenon_H34 zenon_H1e zenon_H21f zenon_H21e zenon_H21d zenon_Ha zenon_Hfe zenon_H87 zenon_H3 zenon_H1b zenon_H33. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.82/1.00 apply (zenon_L360_); trivial. % 0.82/1.00 apply (zenon_L362_); trivial. % 0.82/1.00 (* end of lemma zenon_L363_ *) % 0.82/1.00 assert (zenon_L364_ : ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (c3_1 (a449)) -> (c1_1 (a449)) -> (~(c2_1 (a449))) -> (ndr1_0) -> (forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56)))))) -> (c1_1 (a407)) -> (c3_1 (a407)) -> (c2_1 (a407)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H246 zenon_H232 zenon_H233 zenon_H234 zenon_H4f zenon_H50 zenon_H52 zenon_Ha zenon_Hd3 zenon_Hbb zenon_Hba zenon_Hb9. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H240 | zenon_intro zenon_H247 ]. % 0.82/1.00 apply (zenon_L249_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1ff | zenon_intro zenon_H20 ]. % 0.82/1.00 apply (zenon_L307_); trivial. % 0.82/1.00 apply (zenon_L267_); trivial. % 0.82/1.00 (* end of lemma zenon_L364_ *) % 0.82/1.00 assert (zenon_L365_ : ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> (~(c1_1 (a415))) -> (ndr1_0) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> (~(c2_1 (a449))) -> (c1_1 (a449)) -> (c3_1 (a449)) -> (c1_1 (a407)) -> (c3_1 (a407)) -> (c2_1 (a407)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H118 zenon_H199 zenon_H198 zenon_Ha7 zenon_H197 zenon_Ha zenon_H234 zenon_H233 zenon_H232 zenon_H52 zenon_H50 zenon_H4f zenon_Hbb zenon_Hba zenon_Hb9 zenon_H246. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H10a ]. % 0.82/1.00 apply (zenon_L364_); trivial. % 0.82/1.00 apply (zenon_L124_); trivial. % 0.82/1.00 (* end of lemma zenon_L365_ *) % 0.82/1.00 assert (zenon_L366_ : (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(c1_1 (a415))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))) -> (c3_1 (a415)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H10a zenon_Ha zenon_H197 zenon_H135 zenon_H199. % 0.82/1.00 generalize (zenon_H10a (a415)). zenon_intro zenon_H1b9. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_H1b9); [ zenon_intro zenon_H9 | zenon_intro zenon_H1ba ]. % 0.82/1.00 exact (zenon_H9 zenon_Ha). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H19d | zenon_intro zenon_H1bb ]. % 0.82/1.00 exact (zenon_H197 zenon_H19d). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H1bc | zenon_intro zenon_H19e ]. % 0.82/1.00 generalize (zenon_H135 (a415)). zenon_intro zenon_H28b. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_H28b); [ zenon_intro zenon_H9 | zenon_intro zenon_H28c ]. % 0.82/1.00 exact (zenon_H9 zenon_Ha). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H1c0 | zenon_intro zenon_H28d ]. % 0.82/1.00 exact (zenon_H1bc zenon_H1c0). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H19d | zenon_intro zenon_H19e ]. % 0.82/1.00 exact (zenon_H197 zenon_H19d). % 0.82/1.00 exact (zenon_H19e zenon_H199). % 0.82/1.00 exact (zenon_H19e zenon_H199). % 0.82/1.00 (* end of lemma zenon_L366_ *) % 0.82/1.00 assert (zenon_L367_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a407))/\((c2_1 (a407))/\(c3_1 (a407)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(hskp22)) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp4))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c3_1 (a449)) -> (c1_1 (a449)) -> (~(c2_1 (a449))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (~(c0_1 (a403))) -> (~(c2_1 (a403))) -> (~(c3_1 (a403))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (~(c1_1 (a415))) -> (c3_1 (a445)) -> (c1_1 (a445)) -> (~(c0_1 (a445))) -> (ndr1_0) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp26)\/(hskp5))) -> False). % 0.82/1.00 do 0 intro. intros zenon_Hce zenon_H33 zenon_H24e zenon_Hfe zenon_H87 zenon_Hfc zenon_Hcf zenon_H28e zenon_H246 zenon_H4f zenon_H50 zenon_H52 zenon_H232 zenon_H233 zenon_H234 zenon_H21d zenon_H21e zenon_H21f zenon_H1e zenon_H34 zenon_H118 zenon_H199 zenon_H198 zenon_H197 zenon_Hd6 zenon_Hd5 zenon_Hd4 zenon_Ha zenon_H40 zenon_Hb3. % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hc9 ]. % 0.82/1.00 apply (zenon_L126_); trivial. % 0.82/1.00 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 0.82/1.00 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 0.82/1.00 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H1c | zenon_intro zenon_H2e ]. % 0.82/1.00 apply (zenon_L200_); trivial. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_Ha. zenon_intro zenon_H30. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H21. zenon_intro zenon_H31. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H22. zenon_intro zenon_H23. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H24f ]. % 0.82/1.00 apply (zenon_L365_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H240 | zenon_intro zenon_H10a ]. % 0.82/1.00 apply (zenon_L249_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H135 | zenon_intro zenon_H28f ]. % 0.82/1.00 apply (zenon_L366_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd0 ]. % 0.82/1.00 apply (zenon_L66_); trivial. % 0.82/1.00 exact (zenon_Hcf zenon_Hd0). % 0.82/1.00 (* end of lemma zenon_L367_ *) % 0.82/1.00 assert (zenon_L368_ : ((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp26)\/(hskp5))) -> (~(hskp5)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a407))/\((c2_1 (a407))/\(c3_1 (a407)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(c0_1 (a403))) -> (~(c2_1 (a403))) -> (~(c3_1 (a403))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (~(c1_1 (a415))) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp12)\/(hskp1))) -> (~(hskp1)) -> (~(hskp12)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H11f zenon_H8f zenon_Hb3 zenon_H40 zenon_H246 zenon_H28e zenon_Hcf zenon_Hce zenon_H33 zenon_H1b zenon_H87 zenon_Hfe zenon_H21d zenon_H21e zenon_H21f zenon_H1e zenon_H34 zenon_H118 zenon_H199 zenon_H198 zenon_H197 zenon_H234 zenon_H233 zenon_H232 zenon_H226 zenon_Hc7 zenon_H1fb zenon_H24e zenon_H120. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Ha. zenon_intro zenon_H121. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Hd5. zenon_intro zenon_H122. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_Hd6. zenon_intro zenon_Hd4. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.00 apply (zenon_L363_); trivial. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H7a. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H50. zenon_intro zenon_H7b. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H4f. zenon_intro zenon_H52. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.82/1.00 apply (zenon_L367_); trivial. % 0.82/1.00 apply (zenon_L362_); trivial. % 0.82/1.00 (* end of lemma zenon_L368_ *) % 0.82/1.00 assert (zenon_L369_ : ((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c2_1 (a420))) -> (~(c1_1 (a420))) -> (~(c0_1 (a420))) -> (~(hskp9)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp4)\/(hskp9))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a415)) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp4))) -> (c3_1 (a415)) -> (~(c1_1 (a415))) -> (~(hskp4)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H2e zenon_H258 zenon_H126 zenon_H125 zenon_H124 zenon_H62 zenon_H24a zenon_H24e zenon_H198 zenon_H232 zenon_H233 zenon_H234 zenon_H28e zenon_H199 zenon_H197 zenon_Hcf. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_Ha. zenon_intro zenon_H30. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H21. zenon_intro zenon_H31. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H22. zenon_intro zenon_H23. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H123 | zenon_intro zenon_H259 ]. % 0.82/1.00 apply (zenon_L77_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_Hb | zenon_intro zenon_Hf3 ]. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H24b ]. % 0.82/1.00 apply (zenon_L64_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hd0 | zenon_intro zenon_H63 ]. % 0.82/1.00 exact (zenon_Hcf zenon_Hd0). % 0.82/1.00 exact (zenon_H62 zenon_H63). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H24f ]. % 0.82/1.00 apply (zenon_L263_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H240 | zenon_intro zenon_H10a ]. % 0.82/1.00 apply (zenon_L249_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H135 | zenon_intro zenon_H28f ]. % 0.82/1.00 apply (zenon_L366_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd0 ]. % 0.82/1.00 apply (zenon_L64_); trivial. % 0.82/1.00 exact (zenon_Hcf zenon_Hd0). % 0.82/1.00 (* end of lemma zenon_L369_ *) % 0.82/1.00 assert (zenon_L370_ : ((ndr1_0)/\((~(c0_1 (a420)))/\((~(c1_1 (a420)))/\(~(c2_1 (a420)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> (~(c1_1 (a415))) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp4))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> (~(hskp9)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp4)\/(hskp9))) -> (~(c0_1 (a403))) -> (~(c2_1 (a403))) -> (~(c3_1 (a403))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H156 zenon_H33 zenon_H258 zenon_H198 zenon_H199 zenon_H197 zenon_H234 zenon_H233 zenon_H232 zenon_H28e zenon_H24e zenon_Hcf zenon_H62 zenon_H24a zenon_H21d zenon_H21e zenon_H21f zenon_H1e zenon_H34. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H124. zenon_intro zenon_H158. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H125. zenon_intro zenon_H126. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H1c | zenon_intro zenon_H2e ]. % 0.82/1.00 apply (zenon_L200_); trivial. % 0.82/1.00 apply (zenon_L369_); trivial. % 0.82/1.00 (* end of lemma zenon_L370_ *) % 0.82/1.00 assert (zenon_L371_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/(hskp4))) -> (~(hskp28)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (~(c1_1 (a415))) -> (~(c0_1 (a418))) -> (~(c2_1 (a418))) -> (c1_1 (a418)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/(hskp28))) -> (c3_1 (a477)) -> (~(c2_1 (a477))) -> (~(c0_1 (a477))) -> (ndr1_0) -> (~(hskp4)) -> False). % 0.82/1.00 do 0 intro. intros zenon_Hd1 zenon_H16b zenon_H118 zenon_H199 zenon_H198 zenon_H197 zenon_H15f zenon_H160 zenon_H161 zenon_H16d zenon_H39 zenon_H38 zenon_H37 zenon_Ha zenon_Hcf. % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hd2 ]. % 0.82/1.00 apply (zenon_L210_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ]. % 0.82/1.00 apply (zenon_L15_); trivial. % 0.82/1.00 exact (zenon_Hcf zenon_Hd0). % 0.82/1.00 (* end of lemma zenon_L371_ *) % 0.82/1.00 assert (zenon_L372_ : ((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(hskp22)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/(hskp28))) -> (~(c1_1 (a415))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c1_1 (a418)) -> (~(c2_1 (a418))) -> (~(c0_1 (a418))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/(hskp4))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H44 zenon_H17b zenon_Hfe zenon_H87 zenon_Hfc zenon_H16d zenon_H197 zenon_H198 zenon_H199 zenon_H118 zenon_H161 zenon_H160 zenon_H15f zenon_Hcf zenon_Hd1. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H46. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H39. zenon_intro zenon_H47. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H16b | zenon_intro zenon_H178 ]. % 0.82/1.00 apply (zenon_L371_); trivial. % 0.82/1.00 apply (zenon_L104_); trivial. % 0.82/1.00 (* end of lemma zenon_L372_ *) % 0.82/1.00 assert (zenon_L373_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (~(hskp19)) -> (ndr1_0) -> (~(c0_1 (a403))) -> (~(c2_1 (a403))) -> (~(c3_1 (a403))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a418))) -> (~(c2_1 (a418))) -> (c1_1 (a418)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (~(c1_1 (a415))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/(hskp28))) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H120 zenon_H181 zenon_H33 zenon_H2f zenon_H2a zenon_Ha zenon_H21d zenon_H21e zenon_H21f zenon_H1e zenon_H34 zenon_Hd1 zenon_Hcf zenon_H15f zenon_H160 zenon_H161 zenon_H118 zenon_H199 zenon_H198 zenon_H197 zenon_H16d zenon_H87 zenon_Hfe zenon_H17b zenon_H49. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H2c | zenon_intro zenon_H44 ]. % 0.82/1.00 apply (zenon_L201_); trivial. % 0.82/1.00 apply (zenon_L372_); trivial. % 0.82/1.00 apply (zenon_L219_); trivial. % 0.82/1.00 (* end of lemma zenon_L373_ *) % 0.82/1.00 assert (zenon_L374_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a426))/\((c1_1 (a426))/\(~(c2_1 (a426))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/(hskp4))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (ndr1_0) -> (~(c0_1 (a403))) -> (~(c2_1 (a403))) -> (~(c3_1 (a403))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a418))) -> (~(c2_1 (a418))) -> (c1_1 (a418)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (~(c1_1 (a415))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/(hskp28))) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp1)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp12)\/(hskp1))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a407))/\((c2_1 (a407))/\(c3_1 (a407)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp4))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp26)\/(hskp5))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H217 zenon_H120 zenon_H181 zenon_H33 zenon_H2f zenon_Ha zenon_H21d zenon_H21e zenon_H21f zenon_H1e zenon_H34 zenon_Hd1 zenon_Hcf zenon_H15f zenon_H160 zenon_H161 zenon_H118 zenon_H199 zenon_H198 zenon_H197 zenon_H16d zenon_H87 zenon_Hfe zenon_H17b zenon_H49 zenon_H24e zenon_Hc7 zenon_H226 zenon_H232 zenon_H233 zenon_H234 zenon_H1b zenon_Hce zenon_H28e zenon_H246 zenon_H40 zenon_Hb3 zenon_H8f zenon_H18a. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/1.00 apply (zenon_L373_); trivial. % 0.82/1.00 apply (zenon_L368_); trivial. % 0.82/1.00 apply (zenon_L359_); trivial. % 0.82/1.00 (* end of lemma zenon_L374_ *) % 0.82/1.00 assert (zenon_L375_ : ((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/(hskp4))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69)))))))) -> (c0_1 (a440)) -> (~(c3_1 (a440))) -> (~(c2_1 (a440))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (~(c1_1 (a415))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(hskp4)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H44 zenon_Hd1 zenon_H289 zenon_H80 zenon_H7f zenon_H7e zenon_H199 zenon_H198 zenon_H197 zenon_H118 zenon_Hcf. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H46. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H39. zenon_intro zenon_H47. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hd2 ]. % 0.82/1.00 apply (zenon_L348_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ]. % 0.82/1.00 apply (zenon_L15_); trivial. % 0.82/1.00 exact (zenon_Hcf zenon_Hd0). % 0.82/1.00 (* end of lemma zenon_L375_ *) % 0.82/1.00 assert (zenon_L376_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69)))))))) -> (c0_1 (a440)) -> (~(c3_1 (a440))) -> (~(c2_1 (a440))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (~(c1_1 (a415))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> (~(hskp0)) -> (~(c3_1 (a403))) -> (~(c2_1 (a403))) -> (~(c0_1 (a403))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H49 zenon_Hd1 zenon_Hcf zenon_H289 zenon_H80 zenon_H7f zenon_H7e zenon_H199 zenon_H198 zenon_H197 zenon_H118 zenon_H34 zenon_H1e zenon_H21f zenon_H21e zenon_H21d zenon_Ha zenon_H2a zenon_H2f zenon_H33. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H2c | zenon_intro zenon_H44 ]. % 0.82/1.00 apply (zenon_L201_); trivial. % 0.82/1.00 apply (zenon_L375_); trivial. % 0.82/1.00 (* end of lemma zenon_L376_ *) % 0.82/1.00 assert (zenon_L377_ : ((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp12)) -> (~(hskp1)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp12)\/(hskp1))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (~(c0_1 (a445))) -> (c1_1 (a445)) -> (c3_1 (a445)) -> (~(c1_1 (a415))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c2_1 (a440))) -> (~(c3_1 (a440))) -> (c0_1 (a440)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp22))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H78 zenon_H120 zenon_H24e zenon_H1fb zenon_Hc7 zenon_H226 zenon_H232 zenon_H233 zenon_H234 zenon_Hd4 zenon_Hd5 zenon_Hd6 zenon_H197 zenon_H198 zenon_H199 zenon_H118 zenon_H7e zenon_H7f zenon_H80 zenon_H261. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H7a. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H50. zenon_intro zenon_H7b. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H4f. zenon_intro zenon_H52. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.82/1.00 apply (zenon_L318_); trivial. % 0.82/1.00 apply (zenon_L362_); trivial. % 0.82/1.00 (* end of lemma zenon_L377_ *) % 0.82/1.00 assert (zenon_L378_ : ((ndr1_0)/\((c0_1 (a440))/\((~(c2_1 (a440)))/\(~(c3_1 (a440)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp22))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp12)\/(hskp1))) -> (~(hskp1)) -> (~(hskp12)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (~(c0_1 (a403))) -> (~(c2_1 (a403))) -> (~(c3_1 (a403))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c1_1 (a415))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69)))))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H8b zenon_H18a zenon_H8f zenon_H261 zenon_H1b zenon_H87 zenon_Hfe zenon_H234 zenon_H233 zenon_H232 zenon_H226 zenon_Hc7 zenon_H1fb zenon_H24e zenon_H120 zenon_H33 zenon_H2f zenon_H21d zenon_H21e zenon_H21f zenon_H1e zenon_H34 zenon_H118 zenon_H197 zenon_H198 zenon_H199 zenon_H289 zenon_Hcf zenon_Hd1 zenon_H49. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Ha. zenon_intro zenon_H8c. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H80. zenon_intro zenon_H8d. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7e. zenon_intro zenon_H7f. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/1.00 apply (zenon_L376_); trivial. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Ha. zenon_intro zenon_H121. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Hd5. zenon_intro zenon_H122. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_Hd6. zenon_intro zenon_Hd4. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.00 apply (zenon_L363_); trivial. % 0.82/1.00 apply (zenon_L377_); trivial. % 0.82/1.00 (* end of lemma zenon_L378_ *) % 0.82/1.00 assert (zenon_L379_ : ((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp12)) -> (~(hskp1)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp12)\/(hskp1))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (~(c1_1 (a415))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c0_1 (a420))) -> (~(c1_1 (a420))) -> (~(c2_1 (a420))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp22))) -> (c0_1 (a440)) -> (~(c3_1 (a440))) -> (~(c2_1 (a440))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp0))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H11f zenon_H120 zenon_H24e zenon_H1fb zenon_Hc7 zenon_H226 zenon_H232 zenon_H233 zenon_H234 zenon_H197 zenon_H198 zenon_H199 zenon_H118 zenon_H124 zenon_H125 zenon_H126 zenon_H261 zenon_H80 zenon_H7f zenon_H7e zenon_H1e zenon_H1e3. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Ha. zenon_intro zenon_H121. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Hd5. zenon_intro zenon_H122. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_Hd6. zenon_intro zenon_Hd4. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.82/1.00 apply (zenon_L338_); trivial. % 0.82/1.00 apply (zenon_L362_); trivial. % 0.82/1.00 (* end of lemma zenon_L379_ *) % 0.82/1.00 assert (zenon_L380_ : ((ndr1_0)/\((c0_1 (a440))/\((~(c2_1 (a440)))/\(~(c3_1 (a440)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp12)) -> (~(hskp1)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp12)\/(hskp1))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (~(c0_1 (a420))) -> (~(c1_1 (a420))) -> (~(c2_1 (a420))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp22))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (~(c0_1 (a403))) -> (~(c2_1 (a403))) -> (~(c3_1 (a403))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c1_1 (a415))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69)))))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H8b zenon_H18a zenon_H120 zenon_H24e zenon_H1fb zenon_Hc7 zenon_H226 zenon_H232 zenon_H233 zenon_H234 zenon_H124 zenon_H125 zenon_H126 zenon_H261 zenon_H1e3 zenon_H33 zenon_H2f zenon_H21d zenon_H21e zenon_H21f zenon_H1e zenon_H34 zenon_H118 zenon_H197 zenon_H198 zenon_H199 zenon_H289 zenon_Hcf zenon_Hd1 zenon_H49. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Ha. zenon_intro zenon_H8c. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H80. zenon_intro zenon_H8d. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7e. zenon_intro zenon_H7f. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/1.00 apply (zenon_L376_); trivial. % 0.82/1.00 apply (zenon_L379_); trivial. % 0.82/1.00 (* end of lemma zenon_L380_ *) % 0.82/1.00 assert (zenon_L381_ : ((ndr1_0)/\((~(c0_1 (a420)))/\((~(c1_1 (a420)))/\(~(c2_1 (a420)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a426))/\((c1_1 (a426))/\(~(c2_1 (a426))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp0))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (~(c1_1 (a415))) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/(hskp4))) -> (~(c0_1 (a403))) -> (~(c2_1 (a403))) -> (~(c3_1 (a403))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> ((hskp18)\/((hskp20)\/(hskp23))) -> (~(c0_1 (a416))) -> (~(c1_1 (a416))) -> (c3_1 (a416)) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp22))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp12)\/(hskp1))) -> (~(hskp1)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a440))/\((~(c2_1 (a440)))/\(~(c3_1 (a440))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H156 zenon_H217 zenon_H209 zenon_H8f zenon_H33 zenon_H1e3 zenon_H118 zenon_H199 zenon_H198 zenon_H197 zenon_H234 zenon_H233 zenon_H232 zenon_H246 zenon_Hcf zenon_Hd1 zenon_H21d zenon_H21e zenon_H21f zenon_H1e zenon_H34 zenon_H7 zenon_H136 zenon_H137 zenon_H138 zenon_H4a zenon_H13f zenon_H71 zenon_H49 zenon_H289 zenon_H2f zenon_H261 zenon_H226 zenon_Hc7 zenon_H24e zenon_H120 zenon_H18a zenon_H8e. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H124. zenon_intro zenon_H158. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H125. zenon_intro zenon_H126. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H1 | zenon_intro zenon_H8b ]. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.00 apply (zenon_L84_); trivial. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H7a. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H50. zenon_intro zenon_H7b. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H4f. zenon_intro zenon_H52. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H1c | zenon_intro zenon_H2e ]. % 0.82/1.00 apply (zenon_L200_); trivial. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_Ha. zenon_intro zenon_H30. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H21. zenon_intro zenon_H31. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H22. zenon_intro zenon_H23. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H123 | zenon_intro zenon_H1e4 ]. % 0.82/1.00 apply (zenon_L77_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H1e4); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H1f ]. % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hd2 ]. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H10a ]. % 0.82/1.00 apply (zenon_L308_); trivial. % 0.82/1.00 apply (zenon_L124_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ]. % 0.82/1.00 apply (zenon_L92_); trivial. % 0.82/1.00 exact (zenon_Hcf zenon_Hd0). % 0.82/1.00 exact (zenon_H1e zenon_H1f). % 0.82/1.00 apply (zenon_L380_); trivial. % 0.82/1.00 apply (zenon_L260_); trivial. % 0.82/1.00 (* end of lemma zenon_L381_ *) % 0.82/1.00 assert (zenon_L382_ : ((ndr1_0)/\((c0_1 (a410))/\((~(c1_1 (a410)))/\(~(c3_1 (a410)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a426))/\((c1_1 (a426))/\(~(c2_1 (a426))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (~(c0_1 (a403))) -> (~(c2_1 (a403))) -> (~(c3_1 (a403))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> (~(hskp1)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp12)\/(hskp1))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H1d6 zenon_H217 zenon_H33 zenon_H246 zenon_H232 zenon_H233 zenon_H234 zenon_H21d zenon_H21e zenon_H21f zenon_H1e zenon_H34 zenon_Hc7 zenon_H226. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_Ha. zenon_intro zenon_H1d8. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1a2. zenon_intro zenon_H1d9. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1a0. zenon_intro zenon_H1a1. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.82/1.00 apply (zenon_L222_); trivial. % 0.82/1.00 apply (zenon_L359_); trivial. % 0.82/1.00 (* end of lemma zenon_L382_ *) % 0.82/1.00 assert (zenon_L383_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))))) -> (~(hskp9)) -> (~(hskp27)) -> (~(c0_1 (a408))) -> (c2_1 (a408)) -> (c3_1 (a408)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> (~(c3_1 (a403))) -> (~(c2_1 (a403))) -> (~(c0_1 (a403))) -> (ndr1_0) -> (~(c2_1 (a460))) -> (~(c3_1 (a460))) -> (c1_1 (a460)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H1ed zenon_H62 zenon_H1c zenon_H1da zenon_H1db zenon_H1dc zenon_Hdd zenon_H21f zenon_H21e zenon_H21d zenon_Ha zenon_He zenon_Hc zenon_Hf. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1ee ]. % 0.82/1.00 apply (zenon_L224_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_Hd | zenon_intro zenon_H66 ]. % 0.82/1.00 apply (zenon_L199_); trivial. % 0.82/1.00 apply (zenon_L26_); trivial. % 0.82/1.00 (* end of lemma zenon_L383_ *) % 0.82/1.00 assert (zenon_L384_ : ((ndr1_0)/\((c0_1 (a426))/\((c1_1 (a426))/\(~(c2_1 (a426)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> (c3_1 (a408)) -> (c2_1 (a408)) -> (~(c0_1 (a408))) -> (~(c0_1 (a403))) -> (~(c2_1 (a403))) -> (~(c3_1 (a403))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H218 zenon_H71 zenon_Hdd zenon_H62 zenon_H1dc zenon_H1db zenon_H1da zenon_H21d zenon_H21e zenon_H21f zenon_H1ed zenon_H209 zenon_H234 zenon_H233 zenon_H232 zenon_H246 zenon_H33. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Ha. zenon_intro zenon_H219. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H201. zenon_intro zenon_H21a. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H202. zenon_intro zenon_H200. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.82/1.00 apply (zenon_L253_); trivial. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_Ha. zenon_intro zenon_H6e. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_Hf. zenon_intro zenon_H6f. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H1c | zenon_intro zenon_H2e ]. % 0.82/1.00 apply (zenon_L383_); trivial. % 0.82/1.00 apply (zenon_L252_); trivial. % 0.82/1.00 (* end of lemma zenon_L384_ *) % 0.82/1.00 assert (zenon_L385_ : ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((hskp15)\/(hskp6))) -> (c2_1 (a408)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> (~(c0_1 (a408))) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp6)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H133 zenon_H1db zenon_Ha7 zenon_H1da zenon_Ha zenon_H12f zenon_H131. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_Hdf | zenon_intro zenon_H134 ]. % 0.82/1.00 apply (zenon_L151_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H130 | zenon_intro zenon_H132 ]. % 0.82/1.00 exact (zenon_H12f zenon_H130). % 0.82/1.00 exact (zenon_H131 zenon_H132). % 0.82/1.00 (* end of lemma zenon_L385_ *) % 0.82/1.00 assert (zenon_L386_ : ((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp6)) -> (~(hskp15)) -> (~(c0_1 (a408))) -> (c2_1 (a408)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((hskp15)\/(hskp6))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp12)\/(hskp1))) -> (~(hskp12)) -> (~(hskp1)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H119 zenon_H24e zenon_H131 zenon_H12f zenon_H1da zenon_H1db zenon_H133 zenon_H232 zenon_H233 zenon_H234 zenon_H226 zenon_H1fb zenon_Hc7. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_Ha. zenon_intro zenon_H11b. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10c. zenon_intro zenon_H11c. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H11d. zenon_intro zenon_H10b. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H24f ]. % 0.82/1.00 apply (zenon_L385_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H240 | zenon_intro zenon_H10a ]. % 0.82/1.00 apply (zenon_L249_); trivial. % 0.82/1.00 apply (zenon_L361_); trivial. % 0.82/1.00 (* end of lemma zenon_L386_ *) % 0.82/1.00 assert (zenon_L387_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp12)) -> (~(hskp1)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp12)\/(hskp1))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (~(hskp15)) -> (~(hskp6)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((hskp15)\/(hskp6))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> (~(hskp0)) -> (~(c3_1 (a403))) -> (~(c2_1 (a403))) -> (~(c0_1 (a403))) -> (ndr1_0) -> (~(c0_1 (a408))) -> (c2_1 (a408)) -> (c3_1 (a408)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H120 zenon_H24e zenon_H1fb zenon_Hc7 zenon_H226 zenon_H232 zenon_H233 zenon_H234 zenon_H12f zenon_H131 zenon_H133 zenon_H34 zenon_H1e zenon_H21f zenon_H21e zenon_H21d zenon_Ha zenon_H1da zenon_H1db zenon_H1dc zenon_Hfe zenon_H87 zenon_H15c zenon_H33. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.82/1.00 apply (zenon_L217_); trivial. % 0.82/1.00 apply (zenon_L386_); trivial. % 0.82/1.00 (* end of lemma zenon_L387_ *) % 0.82/1.00 assert (zenon_L388_ : ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a408)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> (~(c0_1 (a408))) -> (c3_1 (a416)) -> (~(c0_1 (a416))) -> (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10)))))) -> (~(c1_1 (a416))) -> (ndr1_0) -> (~(c3_1 (a430))) -> (c0_1 (a430)) -> (c2_1 (a430)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H105 zenon_H1db zenon_Ha7 zenon_H1da zenon_H138 zenon_H136 zenon_H36 zenon_H137 zenon_Ha zenon_H149 zenon_H14a zenon_H14b. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdf | zenon_intro zenon_H106 ]. % 0.82/1.00 apply (zenon_L151_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hea | zenon_intro zenon_H101 ]. % 0.82/1.00 apply (zenon_L86_); trivial. % 0.82/1.00 apply (zenon_L87_); trivial. % 0.82/1.00 (* end of lemma zenon_L388_ *) % 0.82/1.00 assert (zenon_L389_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a430)) -> (c0_1 (a430)) -> (~(c3_1 (a430))) -> (~(c1_1 (a416))) -> (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10)))))) -> (~(c0_1 (a416))) -> (c3_1 (a416)) -> (~(c0_1 (a408))) -> (c2_1 (a408)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp12)\/(hskp1))) -> (c0_1 (a451)) -> (~(c1_1 (a451))) -> (ndr1_0) -> (~(hskp12)) -> (~(hskp1)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H24e zenon_H14b zenon_H14a zenon_H149 zenon_H137 zenon_H36 zenon_H136 zenon_H138 zenon_H1da zenon_H1db zenon_H105 zenon_H232 zenon_H233 zenon_H234 zenon_H226 zenon_H10c zenon_H10b zenon_Ha zenon_H1fb zenon_Hc7. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H24f ]. % 0.82/1.00 apply (zenon_L388_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H240 | zenon_intro zenon_H10a ]. % 0.82/1.00 apply (zenon_L249_); trivial. % 0.82/1.00 apply (zenon_L361_); trivial. % 0.82/1.00 (* end of lemma zenon_L389_ *) % 0.82/1.00 assert (zenon_L390_ : (forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))) -> (ndr1_0) -> (~(c3_1 (a401))) -> (c0_1 (a401)) -> (c1_1 (a401)) -> False). % 0.82/1.00 do 0 intro. intros zenon_Hb zenon_Ha zenon_H290 zenon_H291 zenon_H292. % 0.82/1.00 generalize (zenon_Hb (a401)). zenon_intro zenon_H293. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_H293); [ zenon_intro zenon_H9 | zenon_intro zenon_H294 ]. % 0.82/1.00 exact (zenon_H9 zenon_Ha). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H296 | zenon_intro zenon_H295 ]. % 0.82/1.00 exact (zenon_H290 zenon_H296). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H295); [ zenon_intro zenon_H298 | zenon_intro zenon_H297 ]. % 0.82/1.00 exact (zenon_H298 zenon_H291). % 0.82/1.00 exact (zenon_H297 zenon_H292). % 0.82/1.00 (* end of lemma zenon_L390_ *) % 0.82/1.00 assert (zenon_L391_ : ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (~(hskp20)) -> (c1_1 (a401)) -> (c0_1 (a401)) -> (~(c3_1 (a401))) -> (ndr1_0) -> False). % 0.82/1.00 do 0 intro. intros zenon_H1b zenon_H3 zenon_H292 zenon_H291 zenon_H290 zenon_Ha. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H1b); [ zenon_intro zenon_Hb | zenon_intro zenon_H4 ]. % 0.82/1.00 apply (zenon_L390_); trivial. % 0.82/1.00 exact (zenon_H3 zenon_H4). % 0.82/1.00 (* end of lemma zenon_L391_ *) % 0.82/1.00 assert (zenon_L392_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> (~(hskp13)) -> (~(hskp2)) -> (ndr1_0) -> (~(c3_1 (a401))) -> (c0_1 (a401)) -> (c1_1 (a401)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H8f zenon_H79 zenon_H76 zenon_H6a zenon_Ha zenon_H290 zenon_H291 zenon_H292 zenon_H1b. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.00 apply (zenon_L391_); trivial. % 0.82/1.00 apply (zenon_L32_); trivial. % 0.82/1.00 (* end of lemma zenon_L392_ *) % 0.82/1.00 assert (zenon_L393_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> (~(hskp7)) -> (~(hskp16)) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16))) -> (ndr1_0) -> (~(c3_1 (a401))) -> (c0_1 (a401)) -> (c1_1 (a401)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H8f zenon_H64 zenon_H62 zenon_H60 zenon_H4a zenon_H4c zenon_H4e zenon_Ha zenon_H290 zenon_H291 zenon_H292 zenon_H1b. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.00 apply (zenon_L391_); trivial. % 0.82/1.00 apply (zenon_L44_); trivial. % 0.82/1.00 (* end of lemma zenon_L393_ *) % 0.82/1.00 assert (zenon_L394_ : ((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(c3_1 (a401))) -> (c0_1 (a401)) -> (c1_1 (a401)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> False). % 0.82/1.00 do 0 intro. intros zenon_Ha3 zenon_H8f zenon_H6d zenon_H4a zenon_H6a zenon_H9f zenon_Ha1 zenon_H290 zenon_H291 zenon_H292 zenon_H1b. % 0.82/1.00 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_Ha. zenon_intro zenon_Ha4. % 0.82/1.00 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H9a. zenon_intro zenon_Ha5. % 0.82/1.00 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H91. zenon_intro zenon_H92. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.00 apply (zenon_L391_); trivial. % 0.82/1.00 apply (zenon_L42_); trivial. % 0.82/1.00 (* end of lemma zenon_L394_ *) % 0.82/1.00 assert (zenon_L395_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (c1_1 (a401)) -> (c0_1 (a401)) -> (~(c3_1 (a401))) -> (ndr1_0) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16))) -> (~(hskp7)) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((hskp8)\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_Ha6 zenon_H6d zenon_H6a zenon_H9f zenon_Ha1 zenon_H1b zenon_H292 zenon_H291 zenon_H290 zenon_Ha zenon_H4e zenon_H4a zenon_H60 zenon_H62 zenon_H64 zenon_H8f. % 0.82/1.00 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H4c | zenon_intro zenon_Ha3 ]. % 0.82/1.00 apply (zenon_L393_); trivial. % 0.82/1.00 apply (zenon_L394_); trivial. % 0.82/1.00 (* end of lemma zenon_L395_ *) % 0.82/1.00 assert (zenon_L396_ : ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> (c1_1 (a401)) -> (c0_1 (a401)) -> (~(c3_1 (a401))) -> (c2_1 (a428)) -> (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53)))))) -> (~(c1_1 (a428))) -> (ndr1_0) -> False). % 0.82/1.00 do 0 intro. intros zenon_H100 zenon_H292 zenon_H291 zenon_H290 zenon_Haa zenon_Hea zenon_Ha9 zenon_Ha. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_He9 | zenon_intro zenon_Hb ]. % 0.82/1.00 apply (zenon_L62_); trivial. % 0.82/1.00 apply (zenon_L390_); trivial. % 0.82/1.00 (* end of lemma zenon_L396_ *) % 0.82/1.00 assert (zenon_L397_ : (forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))) -> (ndr1_0) -> (~(c3_1 (a401))) -> (c0_1 (a401)) -> (c2_1 (a401)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H101 zenon_Ha zenon_H290 zenon_H291 zenon_H299. % 0.82/1.00 generalize (zenon_H101 (a401)). zenon_intro zenon_H29a. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_H29a); [ zenon_intro zenon_H9 | zenon_intro zenon_H29b ]. % 0.82/1.00 exact (zenon_H9 zenon_Ha). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_H296 | zenon_intro zenon_H29c ]. % 0.82/1.00 exact (zenon_H290 zenon_H296). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_H298 | zenon_intro zenon_H29d ]. % 0.82/1.00 exact (zenon_H298 zenon_H291). % 0.82/1.00 exact (zenon_H29d zenon_H299). % 0.82/1.00 (* end of lemma zenon_L397_ *) % 0.82/1.00 assert (zenon_L398_ : (forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69)))))) -> (ndr1_0) -> (forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))) -> (~(c3_1 (a401))) -> (c0_1 (a401)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H7d zenon_Ha zenon_H101 zenon_H290 zenon_H291. % 0.82/1.00 generalize (zenon_H7d (a401)). zenon_intro zenon_H29e. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_H29e); [ zenon_intro zenon_H9 | zenon_intro zenon_H29f ]. % 0.82/1.00 exact (zenon_H9 zenon_Ha). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H299 | zenon_intro zenon_H2a0 ]. % 0.82/1.00 apply (zenon_L397_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H296 | zenon_intro zenon_H298 ]. % 0.82/1.00 exact (zenon_H290 zenon_H296). % 0.82/1.00 exact (zenon_H298 zenon_H291). % 0.82/1.00 (* end of lemma zenon_L398_ *) % 0.82/1.00 assert (zenon_L399_ : ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp22))) -> (c0_1 (a401)) -> (~(c3_1 (a401))) -> (forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))) -> (c3_1 (a449)) -> (c1_1 (a449)) -> (~(c2_1 (a449))) -> (ndr1_0) -> (~(hskp22)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H261 zenon_H291 zenon_H290 zenon_H101 zenon_H4f zenon_H50 zenon_H52 zenon_Ha zenon_Hfc. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H7d | zenon_intro zenon_H262 ]. % 0.82/1.00 apply (zenon_L398_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H72 | zenon_intro zenon_Hfd ]. % 0.82/1.00 apply (zenon_L30_); trivial. % 0.82/1.00 exact (zenon_Hfc zenon_Hfd). % 0.82/1.00 (* end of lemma zenon_L399_ *) % 0.82/1.00 assert (zenon_L400_ : ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a427)) -> (c1_1 (a427)) -> (~(c0_1 (a427))) -> (~(c1_1 (a428))) -> (c2_1 (a428)) -> (c1_1 (a401)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp22))) -> (c0_1 (a401)) -> (~(c3_1 (a401))) -> (c3_1 (a449)) -> (c1_1 (a449)) -> (~(c2_1 (a449))) -> (ndr1_0) -> (~(hskp22)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H105 zenon_He2 zenon_He1 zenon_He0 zenon_Ha9 zenon_Haa zenon_H292 zenon_H100 zenon_H261 zenon_H291 zenon_H290 zenon_H4f zenon_H50 zenon_H52 zenon_Ha zenon_Hfc. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdf | zenon_intro zenon_H106 ]. % 0.82/1.00 apply (zenon_L61_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hea | zenon_intro zenon_H101 ]. % 0.82/1.00 apply (zenon_L396_); trivial. % 0.82/1.00 apply (zenon_L399_); trivial. % 0.82/1.00 (* end of lemma zenon_L400_ *) % 0.82/1.00 assert (zenon_L401_ : (forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))) -> (c0_1 (a451)) -> (c2_1 (a451)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H101 zenon_Ha zenon_Hf3 zenon_H10c zenon_H11d. % 0.82/1.00 generalize (zenon_H101 (a451)). zenon_intro zenon_H2a1. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_H2a1); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a2 ]. % 0.82/1.00 exact (zenon_H9 zenon_Ha). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H10d | zenon_intro zenon_H17f ]. % 0.82/1.00 apply (zenon_L227_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_H113 | zenon_intro zenon_H180 ]. % 0.82/1.00 exact (zenon_H113 zenon_H10c). % 0.82/1.00 exact (zenon_H180 zenon_H11d). % 0.82/1.00 (* end of lemma zenon_L401_ *) % 0.82/1.00 assert (zenon_L402_ : ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp3))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c0_1 (a451)) -> (ndr1_0) -> (forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))) -> (~(hskp3)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H256 zenon_H10b zenon_H11d zenon_H10c zenon_Ha zenon_H101 zenon_H42. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H17c | zenon_intro zenon_H257 ]. % 0.82/1.00 apply (zenon_L106_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H257); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H43 ]. % 0.82/1.00 apply (zenon_L401_); trivial. % 0.82/1.00 exact (zenon_H42 zenon_H43). % 0.82/1.00 (* end of lemma zenon_L402_ *) % 0.82/1.00 assert (zenon_L403_ : ((ndr1_0)/\((c2_1 (a428))/\((~(c0_1 (a428)))/\(~(c1_1 (a428)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp3))) -> (~(c0_1 (a427))) -> (c1_1 (a427)) -> (c2_1 (a427)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp22))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c3_1 (a401))) -> (c0_1 (a401)) -> (c1_1 (a401)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H1d3 zenon_H8f zenon_H120 zenon_H42 zenon_H256 zenon_He0 zenon_He1 zenon_He2 zenon_H100 zenon_H261 zenon_H105 zenon_H290 zenon_H291 zenon_H292 zenon_H1b. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_Ha. zenon_intro zenon_H1d4. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_Haa. zenon_intro zenon_H1d5. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_Ha8. zenon_intro zenon_Ha9. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.00 apply (zenon_L391_); trivial. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H7a. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H50. zenon_intro zenon_H7b. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H4f. zenon_intro zenon_H52. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.82/1.00 apply (zenon_L400_); trivial. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_Ha. zenon_intro zenon_H11b. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10c. zenon_intro zenon_H11c. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H11d. zenon_intro zenon_H10b. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdf | zenon_intro zenon_H106 ]. % 0.82/1.00 apply (zenon_L61_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hea | zenon_intro zenon_H101 ]. % 0.82/1.00 apply (zenon_L396_); trivial. % 0.82/1.00 apply (zenon_L402_); trivial. % 0.82/1.00 (* end of lemma zenon_L403_ *) % 0.82/1.00 assert (zenon_L404_ : ((ndr1_0)/\((c3_1 (a416))/\((~(c0_1 (a416)))/\(~(c1_1 (a416)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp4))) -> (c1_1 (a401)) -> (c0_1 (a401)) -> (~(c3_1 (a401))) -> (~(hskp4)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H1b6 zenon_H28e zenon_H292 zenon_H291 zenon_H290 zenon_Hcf. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_Ha. zenon_intro zenon_H1b7. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H138. zenon_intro zenon_H1b8. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H135 | zenon_intro zenon_H28f ]. % 0.82/1.00 apply (zenon_L82_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd0 ]. % 0.82/1.00 apply (zenon_L390_); trivial. % 0.82/1.00 exact (zenon_Hcf zenon_Hd0). % 0.82/1.00 (* end of lemma zenon_L404_ *) % 0.82/1.00 assert (zenon_L405_ : ((ndr1_0)/\((c2_1 (a415))/\((c3_1 (a415))/\(~(c1_1 (a415)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a430))/\((c2_1 (a430))/\(~(c3_1 (a430))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(hskp6)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((hskp15)\/(hskp6))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (c1_1 (a401)) -> (c0_1 (a401)) -> (~(c3_1 (a401))) -> (~(hskp2)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H1c5 zenon_H18b zenon_H18c zenon_H105 zenon_H131 zenon_H133 zenon_H1b zenon_H292 zenon_H291 zenon_H290 zenon_H6a zenon_H79 zenon_H8f. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c6. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H198. zenon_intro zenon_H1c7. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H199. zenon_intro zenon_H197. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H76 | zenon_intro zenon_H18f ]. % 0.82/1.00 apply (zenon_L392_); trivial. % 0.82/1.00 apply (zenon_L115_); trivial. % 0.82/1.00 (* end of lemma zenon_L405_ *) % 0.82/1.00 assert (zenon_L406_ : ((~(hskp8))\/((ndr1_0)/\((c2_1 (a415))/\((c3_1 (a415))/\(~(c1_1 (a415))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a430))/\((c2_1 (a430))/\(~(c3_1 (a430))))))) -> (~(hskp6)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((hskp15)\/(hskp6))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a428))/\((~(c0_1 (a428)))/\(~(c1_1 (a428))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp3))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp22))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((hskp8)\/(hskp9))) -> (~(hskp7)) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (c1_1 (a401)) -> (c0_1 (a401)) -> (~(c3_1 (a401))) -> (ndr1_0) -> (~(hskp2)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp4))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a416))/\((~(c0_1 (a416)))/\(~(c1_1 (a416))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H1c3 zenon_H18c zenon_H131 zenon_H133 zenon_H18b zenon_H1d7 zenon_H120 zenon_H42 zenon_H256 zenon_H100 zenon_H261 zenon_H105 zenon_H64 zenon_H4a zenon_H4e zenon_Ha1 zenon_H6d zenon_Ha6 zenon_H1b zenon_H292 zenon_H291 zenon_H290 zenon_Ha zenon_H6a zenon_H79 zenon_H8f zenon_Hcf zenon_H28e zenon_H1c4. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H60 | zenon_intro zenon_H1c5 ]. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H76 | zenon_intro zenon_H18f ]. % 0.82/1.00 apply (zenon_L392_); trivial. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Ha. zenon_intro zenon_H190. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_He1. zenon_intro zenon_H191. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_He2. zenon_intro zenon_He0. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H9f | zenon_intro zenon_H1d3 ]. % 0.82/1.00 apply (zenon_L395_); trivial. % 0.82/1.00 apply (zenon_L403_); trivial. % 0.82/1.00 apply (zenon_L404_); trivial. % 0.82/1.00 apply (zenon_L405_); trivial. % 0.82/1.00 (* end of lemma zenon_L406_ *) % 0.82/1.00 assert (zenon_L407_ : ((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> (c1_1 (a401)) -> (c0_1 (a401)) -> (~(c3_1 (a401))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp3))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H119 zenon_H100 zenon_H292 zenon_H291 zenon_H290 zenon_H42 zenon_H256. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_Ha. zenon_intro zenon_H11b. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10c. zenon_intro zenon_H11c. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H11d. zenon_intro zenon_H10b. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_He9 | zenon_intro zenon_Hb ]. % 0.82/1.00 apply (zenon_L290_); trivial. % 0.82/1.00 apply (zenon_L390_); trivial. % 0.82/1.00 (* end of lemma zenon_L407_ *) % 0.82/1.00 assert (zenon_L408_ : ((ndr1_0)/\((c0_1 (a410))/\((~(c1_1 (a410)))/\(~(c3_1 (a410)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp3))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp22))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> (~(c3_1 (a401))) -> (c0_1 (a401)) -> (c1_1 (a401)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H1d6 zenon_H8f zenon_H120 zenon_H42 zenon_H256 zenon_H261 zenon_H100 zenon_H290 zenon_H291 zenon_H292 zenon_H1b. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_Ha. zenon_intro zenon_H1d8. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1a2. zenon_intro zenon_H1d9. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1a0. zenon_intro zenon_H1a1. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.00 apply (zenon_L391_); trivial. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H7a. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H50. zenon_intro zenon_H7b. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H4f. zenon_intro zenon_H52. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_He9 | zenon_intro zenon_Hb ]. % 0.82/1.00 apply (zenon_L286_); trivial. % 0.82/1.00 apply (zenon_L390_); trivial. % 0.82/1.00 apply (zenon_L407_); trivial. % 0.82/1.00 (* end of lemma zenon_L408_ *) % 0.82/1.00 assert (zenon_L409_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (c2_1 (a409)) -> (~(c3_1 (a409))) -> (~(c0_1 (a409))) -> (ndr1_0) -> (~(c3_1 (a401))) -> (c0_1 (a401)) -> (c1_1 (a401)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H8f zenon_Ha1 zenon_H9f zenon_H1ca zenon_H1c9 zenon_H1c8 zenon_Ha zenon_H290 zenon_H291 zenon_H292 zenon_H1b. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.00 apply (zenon_L391_); trivial. % 0.82/1.00 apply (zenon_L136_); trivial. % 0.82/1.00 (* end of lemma zenon_L409_ *) % 0.82/1.00 assert (zenon_L410_ : ((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a428))/\((~(c0_1 (a428)))/\(~(c1_1 (a428))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp3))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp22))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (c1_1 (a401)) -> (c0_1 (a401)) -> (~(c3_1 (a401))) -> (~(c0_1 (a409))) -> (~(c3_1 (a409))) -> (c2_1 (a409)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H18f zenon_H1d7 zenon_H120 zenon_H42 zenon_H256 zenon_H100 zenon_H261 zenon_H105 zenon_H1b zenon_H292 zenon_H291 zenon_H290 zenon_H1c8 zenon_H1c9 zenon_H1ca zenon_Ha1 zenon_H8f. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Ha. zenon_intro zenon_H190. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_He1. zenon_intro zenon_H191. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_He2. zenon_intro zenon_He0. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H9f | zenon_intro zenon_H1d3 ]. % 0.82/1.00 apply (zenon_L409_); trivial. % 0.82/1.00 apply (zenon_L403_); trivial. % 0.82/1.00 (* end of lemma zenon_L410_ *) % 0.82/1.00 assert (zenon_L411_ : ((ndr1_0)/\((c2_1 (a409))/\((~(c0_1 (a409)))/\(~(c3_1 (a409)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a428))/\((~(c0_1 (a428)))/\(~(c1_1 (a428))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp3))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp22))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (c1_1 (a401)) -> (c0_1 (a401)) -> (~(c3_1 (a401))) -> (~(hskp2)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H1ef zenon_H18b zenon_H1d7 zenon_H120 zenon_H42 zenon_H256 zenon_H100 zenon_H261 zenon_H105 zenon_Ha1 zenon_H1b zenon_H292 zenon_H291 zenon_H290 zenon_H6a zenon_H79 zenon_H8f. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_Ha. zenon_intro zenon_H1f0. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1ca. zenon_intro zenon_H1f1. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1c8. zenon_intro zenon_H1c9. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H76 | zenon_intro zenon_H18f ]. % 0.82/1.00 apply (zenon_L392_); trivial. % 0.82/1.00 apply (zenon_L410_); trivial. % 0.82/1.00 (* end of lemma zenon_L411_ *) % 0.82/1.00 assert (zenon_L412_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> (~(hskp2)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(c3_1 (a401))) -> (c0_1 (a401)) -> (c1_1 (a401)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (ndr1_0) -> (~(c2_1 (a404))) -> (c0_1 (a404)) -> (c3_1 (a404)) -> (~(hskp7)) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16))) -> False). % 0.82/1.00 do 0 intro. intros zenon_Ha6 zenon_H8f zenon_H6d zenon_H6a zenon_H9f zenon_Ha1 zenon_H290 zenon_H291 zenon_H292 zenon_H1b zenon_Ha zenon_H1f2 zenon_H1f3 zenon_H1f4 zenon_H4a zenon_H4e. % 0.82/1.00 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H4c | zenon_intro zenon_Ha3 ]. % 0.82/1.00 apply (zenon_L160_); trivial. % 0.82/1.00 apply (zenon_L394_); trivial. % 0.82/1.00 (* end of lemma zenon_L412_ *) % 0.82/1.00 assert (zenon_L413_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a428))/\((~(c0_1 (a428)))/\(~(c1_1 (a428))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp3))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp22))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16))) -> (~(hskp7)) -> (c3_1 (a404)) -> (c0_1 (a404)) -> (~(c2_1 (a404))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (c1_1 (a401)) -> (c0_1 (a401)) -> (~(c3_1 (a401))) -> (ndr1_0) -> (~(hskp2)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H18b zenon_H1d7 zenon_H120 zenon_H42 zenon_H256 zenon_H100 zenon_H261 zenon_H105 zenon_H4e zenon_H4a zenon_H1f4 zenon_H1f3 zenon_H1f2 zenon_Ha1 zenon_H6d zenon_Ha6 zenon_H1b zenon_H292 zenon_H291 zenon_H290 zenon_Ha zenon_H6a zenon_H79 zenon_H8f. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H76 | zenon_intro zenon_H18f ]. % 0.82/1.00 apply (zenon_L392_); trivial. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Ha. zenon_intro zenon_H190. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_He1. zenon_intro zenon_H191. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_He2. zenon_intro zenon_He0. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H9f | zenon_intro zenon_H1d3 ]. % 0.82/1.00 apply (zenon_L412_); trivial. % 0.82/1.00 apply (zenon_L403_); trivial. % 0.82/1.00 (* end of lemma zenon_L413_ *) % 0.82/1.00 assert (zenon_L414_ : ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> (c1_1 (a401)) -> (c0_1 (a401)) -> (~(c3_1 (a401))) -> (ndr1_0) -> (~(c1_1 (a410))) -> (~(c3_1 (a410))) -> (c0_1 (a410)) -> (~(c2_1 (a404))) -> (forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))) -> (c3_1 (a404)) -> (~(hskp22)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp22))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H100 zenon_H292 zenon_H291 zenon_H290 zenon_Ha zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1f2 zenon_H168 zenon_H1f4 zenon_Hfc zenon_H261. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_He9 | zenon_intro zenon_Hb ]. % 0.82/1.00 apply (zenon_L314_); trivial. % 0.82/1.00 apply (zenon_L390_); trivial. % 0.82/1.00 (* end of lemma zenon_L414_ *) % 0.82/1.00 assert (zenon_L415_ : ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/((hskp18)\/(hskp3))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp22))) -> (~(hskp22)) -> (c3_1 (a404)) -> (~(c2_1 (a404))) -> (c0_1 (a410)) -> (~(c3_1 (a410))) -> (~(c1_1 (a410))) -> (ndr1_0) -> (~(c3_1 (a401))) -> (c0_1 (a401)) -> (c1_1 (a401)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> (~(hskp18)) -> (~(hskp3)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H275 zenon_H261 zenon_Hfc zenon_H1f4 zenon_H1f2 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_Ha zenon_H290 zenon_H291 zenon_H292 zenon_H100 zenon_H1 zenon_H42. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H168 | zenon_intro zenon_H276 ]. % 0.82/1.00 apply (zenon_L414_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H2 | zenon_intro zenon_H43 ]. % 0.82/1.00 exact (zenon_H1 zenon_H2). % 0.82/1.00 exact (zenon_H42 zenon_H43). % 0.82/1.00 (* end of lemma zenon_L415_ *) % 0.82/1.00 assert (zenon_L416_ : ((ndr1_0)/\((c0_1 (a440))/\((~(c2_1 (a440)))/\(~(c3_1 (a440)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp3))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp22))) -> (~(c3_1 (a401))) -> (c0_1 (a401)) -> (c1_1 (a401)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H8b zenon_H8f zenon_H120 zenon_H100 zenon_H42 zenon_H256 zenon_H261 zenon_H290 zenon_H291 zenon_H292 zenon_H1b. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Ha. zenon_intro zenon_H8c. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H80. zenon_intro zenon_H8d. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7e. zenon_intro zenon_H7f. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.00 apply (zenon_L391_); trivial. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H7a. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H50. zenon_intro zenon_H7b. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H4f. zenon_intro zenon_H52. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.82/1.00 apply (zenon_L318_); trivial. % 0.82/1.00 apply (zenon_L407_); trivial. % 0.82/1.00 (* end of lemma zenon_L416_ *) % 0.82/1.00 assert (zenon_L417_ : ((ndr1_0)/\((c0_1 (a410))/\((~(c1_1 (a410)))/\(~(c3_1 (a410)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a440))/\((~(c2_1 (a440)))/\(~(c3_1 (a440))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> ((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/((hskp18)\/(hskp3))) -> (~(hskp3)) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp22))) -> (c3_1 (a404)) -> (~(c2_1 (a404))) -> (~(c3_1 (a401))) -> (c0_1 (a401)) -> (c1_1 (a401)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H1d6 zenon_H8e zenon_H8f zenon_H1b zenon_H275 zenon_H42 zenon_H261 zenon_H1f4 zenon_H1f2 zenon_H290 zenon_H291 zenon_H292 zenon_H100 zenon_H256 zenon_H120. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_Ha. zenon_intro zenon_H1d8. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1a2. zenon_intro zenon_H1d9. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1a0. zenon_intro zenon_H1a1. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H1 | zenon_intro zenon_H8b ]. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.82/1.00 apply (zenon_L415_); trivial. % 0.82/1.00 apply (zenon_L407_); trivial. % 0.82/1.00 apply (zenon_L416_); trivial. % 0.82/1.00 (* end of lemma zenon_L417_ *) % 0.82/1.00 assert (zenon_L418_ : (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))) -> (ndr1_0) -> (forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))) -> (~(c3_1 (a401))) -> (c0_1 (a401)) -> (c1_1 (a401)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H66 zenon_Ha zenon_H101 zenon_H290 zenon_H291 zenon_H292. % 0.82/1.00 generalize (zenon_H66 (a401)). zenon_intro zenon_H2a3. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_H2a3); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a4 ]. % 0.82/1.00 exact (zenon_H9 zenon_Ha). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H299 | zenon_intro zenon_H2a5 ]. % 0.82/1.00 apply (zenon_L397_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H2a5); [ zenon_intro zenon_H296 | zenon_intro zenon_H297 ]. % 0.82/1.00 exact (zenon_H290 zenon_H296). % 0.82/1.00 exact (zenon_H297 zenon_H292). % 0.82/1.00 (* end of lemma zenon_L418_ *) % 0.82/1.00 assert (zenon_L419_ : ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a427)) -> (c1_1 (a427)) -> (~(c0_1 (a427))) -> (~(c1_1 (a428))) -> (c2_1 (a428)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> (forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))) -> (ndr1_0) -> (~(c3_1 (a401))) -> (c0_1 (a401)) -> (c1_1 (a401)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H105 zenon_He2 zenon_He1 zenon_He0 zenon_Ha9 zenon_Haa zenon_H100 zenon_H66 zenon_Ha zenon_H290 zenon_H291 zenon_H292. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdf | zenon_intro zenon_H106 ]. % 0.82/1.00 apply (zenon_L61_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hea | zenon_intro zenon_H101 ]. % 0.82/1.00 apply (zenon_L396_); trivial. % 0.82/1.00 apply (zenon_L418_); trivial. % 0.82/1.00 (* end of lemma zenon_L419_ *) % 0.82/1.00 assert (zenon_L420_ : ((ndr1_0)/\((c2_1 (a428))/\((~(c0_1 (a428)))/\(~(c1_1 (a428)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))))) -> (~(c3_1 (a403))) -> (~(c2_1 (a403))) -> (~(c0_1 (a403))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a427)) -> (c1_1 (a427)) -> (~(c0_1 (a427))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> (~(c3_1 (a401))) -> (c0_1 (a401)) -> (c1_1 (a401)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H1d3 zenon_H1ed zenon_H21f zenon_H21e zenon_H21d zenon_H105 zenon_He2 zenon_He1 zenon_He0 zenon_H100 zenon_H290 zenon_H291 zenon_H292. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_Ha. zenon_intro zenon_H1d4. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_Haa. zenon_intro zenon_H1d5. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_Ha8. zenon_intro zenon_Ha9. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H1ee ]. % 0.82/1.00 apply (zenon_L48_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_Hd | zenon_intro zenon_H66 ]. % 0.82/1.00 apply (zenon_L199_); trivial. % 0.82/1.00 apply (zenon_L419_); trivial. % 0.82/1.00 (* end of lemma zenon_L420_ *) % 0.82/1.00 assert (zenon_L421_ : ((~(hskp13))\/((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a428))/\((~(c0_1 (a428)))/\(~(c1_1 (a428))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c3_1 (a403))) -> (~(c2_1 (a403))) -> (~(c0_1 (a403))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> (~(hskp7)) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (c1_1 (a401)) -> (c0_1 (a401)) -> (~(c3_1 (a401))) -> (ndr1_0) -> (~(hskp2)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H18b zenon_H1d7 zenon_H1ed zenon_H100 zenon_H105 zenon_H21f zenon_H21e zenon_H21d zenon_H64 zenon_H62 zenon_H60 zenon_H4a zenon_H4e zenon_Ha1 zenon_H6d zenon_Ha6 zenon_H1b zenon_H292 zenon_H291 zenon_H290 zenon_Ha zenon_H6a zenon_H79 zenon_H8f. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H76 | zenon_intro zenon_H18f ]. % 0.82/1.00 apply (zenon_L392_); trivial. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Ha. zenon_intro zenon_H190. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_He1. zenon_intro zenon_H191. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_He2. zenon_intro zenon_He0. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H9f | zenon_intro zenon_H1d3 ]. % 0.82/1.00 apply (zenon_L395_); trivial. % 0.82/1.00 apply (zenon_L420_); trivial. % 0.82/1.00 (* end of lemma zenon_L421_ *) % 0.82/1.00 assert (zenon_L422_ : ((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a430))/\((c2_1 (a430))/\(~(c3_1 (a430))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> (~(c1_1 (a416))) -> (~(c0_1 (a416))) -> (c3_1 (a416)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c3_1 (a401))) -> (c0_1 (a401)) -> (c1_1 (a401)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (~(hskp6)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((hskp15)\/(hskp6))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H18f zenon_H18c zenon_H8f zenon_H154 zenon_H152 zenon_H137 zenon_H136 zenon_H138 zenon_H105 zenon_H290 zenon_H291 zenon_H292 zenon_H1b zenon_H131 zenon_H133. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Ha. zenon_intro zenon_H190. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_He1. zenon_intro zenon_H191. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_He2. zenon_intro zenon_He0. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H12f | zenon_intro zenon_H192 ]. % 0.82/1.00 apply (zenon_L81_); trivial. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_Ha. zenon_intro zenon_H193. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H14a. zenon_intro zenon_H194. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H14b. zenon_intro zenon_H149. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.00 apply (zenon_L391_); trivial. % 0.82/1.00 apply (zenon_L90_); trivial. % 0.82/1.00 (* end of lemma zenon_L422_ *) % 0.82/1.00 assert (zenon_L423_ : ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a427)) -> (c1_1 (a427)) -> (~(c0_1 (a427))) -> (c3_1 (a416)) -> (~(c0_1 (a416))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a416))) -> (ndr1_0) -> (~(c3_1 (a430))) -> (c0_1 (a430)) -> (c2_1 (a430)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H105 zenon_He2 zenon_He1 zenon_He0 zenon_H138 zenon_H136 zenon_H123 zenon_H137 zenon_Ha zenon_H149 zenon_H14a zenon_H14b. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdf | zenon_intro zenon_H106 ]. % 0.82/1.00 apply (zenon_L61_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hea | zenon_intro zenon_H101 ]. % 0.82/1.00 generalize (zenon_Hea (a416)). zenon_intro zenon_H146. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_H146); [ zenon_intro zenon_H9 | zenon_intro zenon_H147 ]. % 0.82/1.00 exact (zenon_H9 zenon_Ha). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H13e | zenon_intro zenon_H148 ]. % 0.82/1.00 exact (zenon_H137 zenon_H13e). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H141 | zenon_intro zenon_H13d ]. % 0.82/1.00 generalize (zenon_H123 (a416)). zenon_intro zenon_H2a6. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_H2a6); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a7 ]. % 0.82/1.00 exact (zenon_H9 zenon_Ha). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H13c | zenon_intro zenon_H2a8 ]. % 0.82/1.00 exact (zenon_H136 zenon_H13c). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H13e | zenon_intro zenon_H145 ]. % 0.82/1.00 exact (zenon_H137 zenon_H13e). % 0.82/1.00 exact (zenon_H141 zenon_H145). % 0.82/1.00 exact (zenon_H13d zenon_H138). % 0.82/1.00 apply (zenon_L87_); trivial. % 0.82/1.00 (* end of lemma zenon_L423_ *) % 0.82/1.00 assert (zenon_L424_ : ((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c2_1 (a430)) -> (c0_1 (a430)) -> (~(c3_1 (a430))) -> (~(c1_1 (a416))) -> (~(c0_1 (a416))) -> (c3_1 (a416)) -> (~(c0_1 (a427))) -> (c1_1 (a427)) -> (c2_1 (a427)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c1_1 (a401)) -> (c0_1 (a401)) -> (~(c3_1 (a401))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H178 zenon_H258 zenon_H14b zenon_H14a zenon_H149 zenon_H137 zenon_H136 zenon_H138 zenon_He0 zenon_He1 zenon_He2 zenon_H105 zenon_H292 zenon_H291 zenon_H290. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_Ha. zenon_intro zenon_H179. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H16f. zenon_intro zenon_H17a. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H123 | zenon_intro zenon_H259 ]. % 0.82/1.00 apply (zenon_L423_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_Hb | zenon_intro zenon_Hf3 ]. % 0.82/1.00 apply (zenon_L390_); trivial. % 0.82/1.00 apply (zenon_L103_); trivial. % 0.82/1.00 (* end of lemma zenon_L424_ *) % 0.82/1.00 assert (zenon_L425_ : ((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a430))/\((c2_1 (a430))/\(~(c3_1 (a430))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a401)) -> (c0_1 (a401)) -> (~(c3_1 (a401))) -> (~(c0_1 (a416))) -> (~(c0_1 (a418))) -> (~(c2_1 (a418))) -> (c1_1 (a418)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c3_1 (a416)) -> (~(c1_1 (a416))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/(hskp28))) -> (~(hskp6)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((hskp15)\/(hskp6))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H18f zenon_H18c zenon_H17b zenon_H258 zenon_H292 zenon_H291 zenon_H290 zenon_H136 zenon_H15f zenon_H160 zenon_H161 zenon_H105 zenon_H138 zenon_H137 zenon_H16d zenon_H131 zenon_H133. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Ha. zenon_intro zenon_H190. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_He1. zenon_intro zenon_H191. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_He2. zenon_intro zenon_He0. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H12f | zenon_intro zenon_H192 ]. % 0.82/1.00 apply (zenon_L81_); trivial. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_Ha. zenon_intro zenon_H193. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H14a. zenon_intro zenon_H194. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H14b. zenon_intro zenon_H149. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H16b | zenon_intro zenon_H178 ]. % 0.82/1.00 apply (zenon_L102_); trivial. % 0.82/1.00 apply (zenon_L424_); trivial. % 0.82/1.00 (* end of lemma zenon_L425_ *) % 0.82/1.00 assert (zenon_L426_ : ((ndr1_0)/\((c3_1 (a416))/\((~(c0_1 (a416)))/\(~(c1_1 (a416)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a418))/\((~(c0_1 (a418)))/\(~(c2_1 (a418))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/(hskp28))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> (~(hskp2)) -> (~(c3_1 (a401))) -> (c0_1 (a401)) -> (c1_1 (a401)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((hskp15)\/(hskp6))) -> (~(hskp6)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a430))/\((c2_1 (a430))/\(~(c3_1 (a430))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H1b6 zenon_H189 zenon_H17b zenon_H258 zenon_H16d zenon_H8f zenon_H79 zenon_H6a zenon_H290 zenon_H291 zenon_H292 zenon_H1b zenon_H133 zenon_H131 zenon_H105 zenon_H154 zenon_H18c zenon_H18b. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_Ha. zenon_intro zenon_H1b7. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H138. zenon_intro zenon_H1b8. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ]. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H76 | zenon_intro zenon_H18f ]. % 0.82/1.00 apply (zenon_L392_); trivial. % 0.82/1.00 apply (zenon_L422_); trivial. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H195. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H161. zenon_intro zenon_H196. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H76 | zenon_intro zenon_H18f ]. % 0.82/1.00 apply (zenon_L392_); trivial. % 0.82/1.00 apply (zenon_L425_); trivial. % 0.82/1.00 (* end of lemma zenon_L426_ *) % 0.82/1.00 assert (zenon_L427_ : ((~(hskp8))\/((ndr1_0)/\((c2_1 (a415))/\((c3_1 (a415))/\(~(c1_1 (a415))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a428))/\((~(c0_1 (a428)))/\(~(c1_1 (a428))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c3_1 (a403))) -> (~(c2_1 (a403))) -> (~(c0_1 (a403))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((hskp8)\/(hskp9))) -> (~(hskp7)) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (c1_1 (a401)) -> (c0_1 (a401)) -> (~(c3_1 (a401))) -> (ndr1_0) -> (~(hskp2)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a430))/\((c2_1 (a430))/\(~(c3_1 (a430))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp6)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((hskp15)\/(hskp6))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a418))/\((~(c0_1 (a418)))/\(~(c2_1 (a418))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a416))/\((~(c0_1 (a416)))/\(~(c1_1 (a416))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H1c3 zenon_H18b zenon_H1d7 zenon_H1ed zenon_H100 zenon_H105 zenon_H21f zenon_H21e zenon_H21d zenon_H64 zenon_H4a zenon_H4e zenon_Ha1 zenon_H6d zenon_Ha6 zenon_H1b zenon_H292 zenon_H291 zenon_H290 zenon_Ha zenon_H6a zenon_H79 zenon_H8f zenon_H18c zenon_H154 zenon_H131 zenon_H133 zenon_H16d zenon_H258 zenon_H17b zenon_H189 zenon_H1c4. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H60 | zenon_intro zenon_H1c5 ]. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.00 apply (zenon_L421_); trivial. % 0.82/1.00 apply (zenon_L426_); trivial. % 0.82/1.00 apply (zenon_L405_); trivial. % 0.82/1.00 (* end of lemma zenon_L427_ *) % 0.82/1.00 assert (zenon_L428_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> (~(hskp0)) -> (~(c3_1 (a403))) -> (~(c2_1 (a403))) -> (~(c0_1 (a403))) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> (ndr1_0) -> (~(c3_1 (a401))) -> (c0_1 (a401)) -> (c1_1 (a401)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H8f zenon_H49 zenon_H154 zenon_H152 zenon_H34 zenon_H1e zenon_H21f zenon_H21e zenon_H21d zenon_H2a zenon_H2f zenon_H33 zenon_Ha zenon_H290 zenon_H291 zenon_H292 zenon_H1b. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.00 apply (zenon_L391_); trivial. % 0.82/1.00 apply (zenon_L202_); trivial. % 0.82/1.00 (* end of lemma zenon_L428_ *) % 0.82/1.00 assert (zenon_L429_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a418))/\((~(c0_1 (a418)))/\(~(c2_1 (a418))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> (~(hskp0)) -> (~(c3_1 (a403))) -> (~(c2_1 (a403))) -> (~(c0_1 (a403))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> (ndr1_0) -> (~(c3_1 (a401))) -> (c0_1 (a401)) -> (c1_1 (a401)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((forall X73 : zenon_U, ((ndr1_0)->((~(c1_1 X73))\/((~(c2_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a410)) -> (~(c3_1 (a410))) -> (~(c1_1 (a410))) -> (~(hskp8)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((hskp8)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H189 zenon_H8f zenon_H49 zenon_H154 zenon_H34 zenon_H1e zenon_H21f zenon_H21e zenon_H21d zenon_H2f zenon_H33 zenon_Ha zenon_H290 zenon_H291 zenon_H292 zenon_H1b zenon_H1a9 zenon_H62 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H60 zenon_H64 zenon_H18a. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ]. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/1.00 apply (zenon_L428_); trivial. % 0.82/1.00 apply (zenon_L120_); trivial. % 0.82/1.00 apply (zenon_L186_); trivial. % 0.82/1.00 (* end of lemma zenon_L429_ *) % 0.82/1.00 assert (zenon_L430_ : ((ndr1_0)/\((c2_1 (a409))/\((~(c0_1 (a409)))/\(~(c3_1 (a409)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a428))/\((~(c0_1 (a428)))/\(~(c1_1 (a428))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c3_1 (a403))) -> (~(c2_1 (a403))) -> (~(c0_1 (a403))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (c1_1 (a401)) -> (c0_1 (a401)) -> (~(c3_1 (a401))) -> (~(hskp2)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H1ef zenon_H18b zenon_H1d7 zenon_H1ed zenon_H100 zenon_H105 zenon_H21f zenon_H21e zenon_H21d zenon_Ha1 zenon_H1b zenon_H292 zenon_H291 zenon_H290 zenon_H6a zenon_H79 zenon_H8f. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_Ha. zenon_intro zenon_H1f0. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1ca. zenon_intro zenon_H1f1. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1c8. zenon_intro zenon_H1c9. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H76 | zenon_intro zenon_H18f ]. % 0.82/1.00 apply (zenon_L392_); trivial. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Ha. zenon_intro zenon_H190. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_He1. zenon_intro zenon_H191. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_He2. zenon_intro zenon_He0. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H9f | zenon_intro zenon_H1d3 ]. % 0.82/1.00 apply (zenon_L409_); trivial. % 0.82/1.00 apply (zenon_L420_); trivial. % 0.82/1.00 (* end of lemma zenon_L430_ *) % 0.82/1.00 assert (zenon_L431_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp4))) -> (c3_1 (a415)) -> (~(c1_1 (a415))) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (c1_1 (a401)) -> (c0_1 (a401)) -> (~(c3_1 (a401))) -> (ndr1_0) -> (~(hskp4)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H28e zenon_H199 zenon_H197 zenon_H10a zenon_H292 zenon_H291 zenon_H290 zenon_Ha zenon_Hcf. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H135 | zenon_intro zenon_H28f ]. % 0.82/1.00 apply (zenon_L366_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd0 ]. % 0.82/1.00 apply (zenon_L390_); trivial. % 0.82/1.00 exact (zenon_Hcf zenon_Hd0). % 0.82/1.00 (* end of lemma zenon_L431_ *) % 0.82/1.00 assert (zenon_L432_ : ((ndr1_0)/\((c1_1 (a407))/\((c2_1 (a407))/\(c3_1 (a407))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c3_1 (a449)) -> (c1_1 (a449)) -> (~(c2_1 (a449))) -> (c2_1 (a415)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp4))) -> (c3_1 (a415)) -> (~(c1_1 (a415))) -> (c1_1 (a401)) -> (c0_1 (a401)) -> (~(c3_1 (a401))) -> (~(hskp4)) -> False). % 0.82/1.00 do 0 intro. intros zenon_Hc9 zenon_H24e zenon_H246 zenon_H4f zenon_H50 zenon_H52 zenon_H198 zenon_H118 zenon_H232 zenon_H233 zenon_H234 zenon_H28e zenon_H199 zenon_H197 zenon_H292 zenon_H291 zenon_H290 zenon_Hcf. % 0.82/1.00 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 0.82/1.00 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 0.82/1.00 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H24f ]. % 0.82/1.00 apply (zenon_L365_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H240 | zenon_intro zenon_H10a ]. % 0.82/1.00 apply (zenon_L249_); trivial. % 0.82/1.00 apply (zenon_L431_); trivial. % 0.82/1.00 (* end of lemma zenon_L432_ *) % 0.82/1.00 assert (zenon_L433_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c2_1 (a420))) -> (~(c1_1 (a420))) -> (~(c0_1 (a420))) -> (c1_1 (a401)) -> (c0_1 (a401)) -> (~(c3_1 (a401))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp26)\/(hskp5))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (~(c1_1 (a415))) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp5)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H258 zenon_H126 zenon_H125 zenon_H124 zenon_H292 zenon_H291 zenon_H290 zenon_H24e zenon_H232 zenon_H233 zenon_H234 zenon_Hb3 zenon_H199 zenon_H198 zenon_H197 zenon_Ha zenon_Hb1 zenon_H40. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H123 | zenon_intro zenon_H259 ]. % 0.82/1.00 apply (zenon_L77_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_Hb | zenon_intro zenon_Hf3 ]. % 0.82/1.00 apply (zenon_L390_); trivial. % 0.82/1.00 apply (zenon_L277_); trivial. % 0.82/1.00 (* end of lemma zenon_L433_ *) % 0.82/1.00 assert (zenon_L434_ : ((ndr1_0)/\((c2_1 (a408))/\((c3_1 (a408))/\(~(c0_1 (a408)))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a420)))/\((~(c1_1 (a420)))/\(~(c2_1 (a420))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp0))) -> (~(hskp0)) -> (~(c3_1 (a401))) -> (c0_1 (a401)) -> (c1_1 (a401)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H2a9 zenon_H18d zenon_H1e3 zenon_H1e zenon_H290 zenon_H291 zenon_H292 zenon_H15c. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_Ha. zenon_intro zenon_H2aa. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H2aa). zenon_intro zenon_H1db. zenon_intro zenon_H2ab. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H2ab). zenon_intro zenon_H1dc. zenon_intro zenon_H1da. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H15e ]. % 0.82/1.00 apply (zenon_L144_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hb | zenon_intro zenon_H88 ]. % 0.82/1.00 apply (zenon_L390_); trivial. % 0.82/1.00 exact (zenon_H87 zenon_H88). % 0.82/1.00 apply (zenon_L145_); trivial. % 0.82/1.00 (* end of lemma zenon_L434_ *) % 0.82/1.00 assert (zenon_L435_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp0)\/(hskp11))) -> (ndr1_0) -> (~(c3_1 (a401))) -> (c0_1 (a401)) -> (c1_1 (a401)) -> (~(c0_1 (a416))) -> (c3_1 (a416)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11))) -> (~(hskp0)) -> (~(hskp11)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H15b zenon_Ha zenon_H290 zenon_H291 zenon_H292 zenon_H136 zenon_H138 zenon_H15c zenon_H1e zenon_H87. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H36 | zenon_intro zenon_H15d ]. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H15e ]. % 0.82/1.00 apply (zenon_L92_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hb | zenon_intro zenon_H88 ]. % 0.82/1.00 apply (zenon_L390_); trivial. % 0.82/1.00 exact (zenon_H87 zenon_H88). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H15d); [ zenon_intro zenon_H1f | zenon_intro zenon_H88 ]. % 0.82/1.00 exact (zenon_H1e zenon_H1f). % 0.82/1.00 exact (zenon_H87 zenon_H88). % 0.82/1.00 (* end of lemma zenon_L435_ *) % 0.82/1.00 assert (zenon_L436_ : ((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c2_1 (a420))) -> (~(c1_1 (a420))) -> (~(c0_1 (a420))) -> (c1_1 (a401)) -> (c0_1 (a401)) -> (~(c3_1 (a401))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H178 zenon_H258 zenon_H126 zenon_H125 zenon_H124 zenon_H292 zenon_H291 zenon_H290. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_Ha. zenon_intro zenon_H179. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H16f. zenon_intro zenon_H17a. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H123 | zenon_intro zenon_H259 ]. % 0.82/1.00 apply (zenon_L77_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_Hb | zenon_intro zenon_Hf3 ]. % 0.82/1.00 apply (zenon_L390_); trivial. % 0.82/1.00 apply (zenon_L103_); trivial. % 0.82/1.00 (* end of lemma zenon_L436_ *) % 0.82/1.00 assert (zenon_L437_ : ((ndr1_0)/\((c3_1 (a416))/\((~(c0_1 (a416)))/\(~(c1_1 (a416)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a418))/\((~(c0_1 (a418)))/\(~(c2_1 (a418))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/(hskp28))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((hskp0)\/(hskp11))) -> (~(hskp0)) -> (~(c3_1 (a401))) -> (c0_1 (a401)) -> (c1_1 (a401)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp0))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a420)))/\((~(c1_1 (a420)))/\(~(c2_1 (a420))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H1b6 zenon_H189 zenon_H17b zenon_H258 zenon_H16d zenon_H15b zenon_H1e zenon_H290 zenon_H291 zenon_H292 zenon_H15c zenon_H1b zenon_H154 zenon_H1e3 zenon_H8f zenon_H18d. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_Ha. zenon_intro zenon_H1b7. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H138. zenon_intro zenon_H1b8. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ]. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.82/1.00 apply (zenon_L435_); trivial. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H124. zenon_intro zenon_H158. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H125. zenon_intro zenon_H126. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.00 apply (zenon_L391_); trivial. % 0.82/1.00 apply (zenon_L333_); trivial. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H195. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H161. zenon_intro zenon_H196. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.82/1.00 apply (zenon_L435_); trivial. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H124. zenon_intro zenon_H158. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H125. zenon_intro zenon_H126. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H16b | zenon_intro zenon_H178 ]. % 0.82/1.00 apply (zenon_L341_); trivial. % 0.82/1.00 apply (zenon_L436_); trivial. % 0.82/1.00 (* end of lemma zenon_L437_ *) % 0.82/1.00 assert (zenon_L438_ : ((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> (c1_1 (a401)) -> (c0_1 (a401)) -> (~(c3_1 (a401))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (~(c1_1 (a415))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp3))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H119 zenon_H100 zenon_H292 zenon_H291 zenon_H290 zenon_H24e zenon_H232 zenon_H233 zenon_H234 zenon_H197 zenon_H199 zenon_H198 zenon_H42 zenon_H256. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_Ha. zenon_intro zenon_H11b. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10c. zenon_intro zenon_H11c. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H11d. zenon_intro zenon_H10b. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_He9 | zenon_intro zenon_Hb ]. % 0.82/1.00 apply (zenon_L273_); trivial. % 0.82/1.00 apply (zenon_L390_); trivial. % 0.82/1.00 (* end of lemma zenon_L438_ *) % 0.82/1.00 assert (zenon_L439_ : ((ndr1_0)/\((c0_1 (a426))/\((c1_1 (a426))/\(~(c2_1 (a426)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> (c1_1 (a401)) -> (c0_1 (a401)) -> (~(c3_1 (a401))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp3))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp26)\/(hskp5))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> (~(c1_1 (a415))) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a407))/\((c2_1 (a407))/\(c3_1 (a407)))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H218 zenon_H120 zenon_H100 zenon_H292 zenon_H291 zenon_H290 zenon_H42 zenon_H256 zenon_H24e zenon_H40 zenon_Hb3 zenon_H232 zenon_H233 zenon_H234 zenon_H198 zenon_H199 zenon_H197 zenon_H87 zenon_Hfe zenon_Hdd zenon_H62 zenon_H246 zenon_H33 zenon_Hce. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Ha. zenon_intro zenon_H219. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H201. zenon_intro zenon_H21a. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H202. zenon_intro zenon_H200. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.82/1.00 apply (zenon_L270_); trivial. % 0.82/1.00 apply (zenon_L438_); trivial. % 0.82/1.00 (* end of lemma zenon_L439_ *) % 0.82/1.00 assert (zenon_L440_ : ((ndr1_0)/\((c0_1 (a426))/\((c1_1 (a426))/\(~(c2_1 (a426)))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a407))/\((c2_1 (a407))/\(c3_1 (a407)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (~(hskp9)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> (~(c0_1 (a420))) -> (~(c1_1 (a420))) -> (~(c2_1 (a420))) -> (~(c3_1 (a401))) -> (c0_1 (a401)) -> (c1_1 (a401)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp26)\/(hskp5))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (~(c1_1 (a415))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H218 zenon_Hce zenon_H33 zenon_H246 zenon_H62 zenon_Hdd zenon_H124 zenon_H125 zenon_H126 zenon_H290 zenon_H291 zenon_H292 zenon_H24e zenon_H40 zenon_Hb3 zenon_H232 zenon_H233 zenon_H234 zenon_H197 zenon_H199 zenon_H198 zenon_H258. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Ha. zenon_intro zenon_H219. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H201. zenon_intro zenon_H21a. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H202. zenon_intro zenon_H200. % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hc9 ]. % 0.82/1.00 apply (zenon_L433_); trivial. % 0.82/1.00 apply (zenon_L269_); trivial. % 0.82/1.00 (* end of lemma zenon_L440_ *) % 0.82/1.00 assert (zenon_L441_ : ((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a428)) -> (~(c1_1 (a428))) -> (~(c0_1 (a428))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (c3_1 (a404)) -> (c0_1 (a404)) -> (~(c2_1 (a404))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H2e zenon_H24e zenon_Haa zenon_Ha9 zenon_Ha8 zenon_H246 zenon_H232 zenon_H233 zenon_H234 zenon_H1f4 zenon_H1f3 zenon_H1f2. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_Ha. zenon_intro zenon_H30. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H21. zenon_intro zenon_H31. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H22. zenon_intro zenon_H23. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H24f ]. % 0.82/1.00 apply (zenon_L48_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H240 | zenon_intro zenon_H10a ]. % 0.82/1.00 apply (zenon_L249_); trivial. % 0.82/1.00 apply (zenon_L310_); trivial. % 0.82/1.00 (* end of lemma zenon_L441_ *) % 0.82/1.00 assert (zenon_L442_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (ndr1_0) -> (~(c0_1 (a428))) -> (~(c1_1 (a428))) -> (c2_1 (a428)) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (~(hskp23)) -> (c3_1 (a404)) -> (c0_1 (a404)) -> (~(c2_1 (a404))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H33 zenon_H246 zenon_Ha zenon_Ha8 zenon_Ha9 zenon_Haa zenon_H234 zenon_H233 zenon_H232 zenon_H209 zenon_H5 zenon_H1f4 zenon_H1f3 zenon_H1f2 zenon_H24e. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H1c | zenon_intro zenon_H2e ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H24f ]. % 0.82/1.01 apply (zenon_L48_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H240 | zenon_intro zenon_H10a ]. % 0.82/1.01 apply (zenon_L249_); trivial. % 0.82/1.01 apply (zenon_L322_); trivial. % 0.82/1.01 apply (zenon_L441_); trivial. % 0.82/1.01 (* end of lemma zenon_L442_ *) % 0.82/1.01 assert (zenon_L443_ : ((ndr1_0)/\((c2_1 (a409))/\((~(c0_1 (a409)))/\(~(c3_1 (a409)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp3))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp22))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(c3_1 (a401))) -> (c0_1 (a401)) -> (c1_1 (a401)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (c3_1 (a404)) -> (c0_1 (a404)) -> (~(c2_1 (a404))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp13))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a428))/\((~(c0_1 (a428)))/\(~(c1_1 (a428))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H1ef zenon_H18b zenon_H120 zenon_H42 zenon_H256 zenon_H100 zenon_H261 zenon_H105 zenon_H8f zenon_Ha1 zenon_H290 zenon_H291 zenon_H292 zenon_H1b zenon_H33 zenon_H246 zenon_H234 zenon_H233 zenon_H232 zenon_H209 zenon_H1f4 zenon_H1f3 zenon_H1f2 zenon_H24e zenon_H1d1 zenon_H71 zenon_H1d7. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_Ha. zenon_intro zenon_H1f0. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1ca. zenon_intro zenon_H1f1. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1c8. zenon_intro zenon_H1c9. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H76 | zenon_intro zenon_H18f ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H9f | zenon_intro zenon_H1d3 ]. % 0.82/1.01 apply (zenon_L409_); trivial. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_Ha. zenon_intro zenon_H1d4. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_Haa. zenon_intro zenon_H1d5. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_Ha8. zenon_intro zenon_Ha9. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.82/1.01 apply (zenon_L442_); trivial. % 0.82/1.01 apply (zenon_L141_); trivial. % 0.82/1.01 apply (zenon_L410_); trivial. % 0.82/1.01 (* end of lemma zenon_L443_ *) % 0.82/1.01 assert (zenon_L444_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (c1_1 (a434)) -> (~(c3_1 (a434))) -> (~(c0_1 (a434))) -> (ndr1_0) -> (~(hskp4)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp28)\/(hskp4))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H17b zenon_Hfe zenon_H87 zenon_Hfc zenon_H244 zenon_H62 zenon_H232 zenon_H233 zenon_H234 zenon_H9a zenon_H92 zenon_H91 zenon_Ha zenon_Hcf zenon_H248. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H16b | zenon_intro zenon_H178 ]. % 0.82/1.01 apply (zenon_L257_); trivial. % 0.82/1.01 apply (zenon_L104_); trivial. % 0.82/1.01 (* end of lemma zenon_L444_ *) % 0.82/1.01 assert (zenon_L445_ : ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> (c1_1 (a401)) -> (c0_1 (a401)) -> (~(c3_1 (a401))) -> (c2_1 (a451)) -> (c0_1 (a451)) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (~(c1_1 (a451))) -> (ndr1_0) -> False). % 0.82/1.01 do 0 intro. intros zenon_H100 zenon_H292 zenon_H291 zenon_H290 zenon_H11d zenon_H10c zenon_H10a zenon_H10b zenon_Ha. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_He9 | zenon_intro zenon_Hb ]. % 0.82/1.01 apply (zenon_L271_); trivial. % 0.82/1.01 apply (zenon_L390_); trivial. % 0.82/1.01 (* end of lemma zenon_L445_ *) % 0.82/1.01 assert (zenon_L446_ : ((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c3_1 (a401))) -> (c0_1 (a401)) -> (c1_1 (a401)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> (c3_1 (a445)) -> (c1_1 (a445)) -> (~(c0_1 (a445))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H119 zenon_H118 zenon_H290 zenon_H291 zenon_H292 zenon_H100 zenon_Hd6 zenon_Hd5 zenon_Hd4. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_Ha. zenon_intro zenon_H11b. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10c. zenon_intro zenon_H11c. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H11d. zenon_intro zenon_H10b. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H10a ]. % 0.82/1.01 apply (zenon_L59_); trivial. % 0.82/1.01 apply (zenon_L445_); trivial. % 0.82/1.01 (* end of lemma zenon_L446_ *) % 0.82/1.01 assert (zenon_L447_ : ((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c3_1 (a401))) -> (c0_1 (a401)) -> (c1_1 (a401)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp28)\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a434))) -> (~(c3_1 (a434))) -> (c1_1 (a434)) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(hskp9))) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414)))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H11f zenon_H120 zenon_H118 zenon_H290 zenon_H291 zenon_H292 zenon_H100 zenon_H248 zenon_Hcf zenon_H91 zenon_H92 zenon_H9a zenon_H234 zenon_H233 zenon_H232 zenon_H62 zenon_H244 zenon_H87 zenon_Hfe zenon_H17b. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Ha. zenon_intro zenon_H121. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Hd5. zenon_intro zenon_H122. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_Hd6. zenon_intro zenon_Hd4. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.82/1.01 apply (zenon_L444_); trivial. % 0.82/1.01 apply (zenon_L446_); trivial. % 0.82/1.01 (* end of lemma zenon_L447_ *) % 0.82/1.01 assert (zenon_L448_ : ((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a401)) -> (c0_1 (a401)) -> (~(c3_1 (a401))) -> (~(c2_1 (a420))) -> (~(c1_1 (a420))) -> (~(c0_1 (a420))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (~(hskp4)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp28)\/(hskp4))) -> False). % 0.82/1.01 do 0 intro. intros zenon_Ha3 zenon_H17b zenon_H258 zenon_H292 zenon_H291 zenon_H290 zenon_H126 zenon_H125 zenon_H124 zenon_H244 zenon_H62 zenon_H232 zenon_H233 zenon_H234 zenon_Hcf zenon_H248. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_Ha. zenon_intro zenon_Ha4. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H9a. zenon_intro zenon_Ha5. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H91. zenon_intro zenon_H92. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H16b | zenon_intro zenon_H178 ]. % 0.82/1.01 apply (zenon_L257_); trivial. % 0.82/1.01 apply (zenon_L436_); trivial. % 0.82/1.01 (* end of lemma zenon_L448_ *) % 0.82/1.01 assert (zenon_L449_ : ((ndr1_0)/\((~(c0_1 (a420)))/\((~(c1_1 (a420)))/\(~(c2_1 (a420)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(hskp9))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (~(hskp4)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp28)\/(hskp4))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (c1_1 (a401)) -> (c0_1 (a401)) -> (~(c3_1 (a401))) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16))) -> (~(hskp7)) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((hskp8)\/(hskp9))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H156 zenon_Ha6 zenon_H17b zenon_H258 zenon_H244 zenon_H232 zenon_H233 zenon_H234 zenon_Hcf zenon_H248 zenon_H1b zenon_H292 zenon_H291 zenon_H290 zenon_H4e zenon_H4a zenon_H60 zenon_H62 zenon_H64 zenon_H8f. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H124. zenon_intro zenon_H158. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H125. zenon_intro zenon_H126. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H4c | zenon_intro zenon_Ha3 ]. % 0.82/1.01 apply (zenon_L393_); trivial. % 0.82/1.01 apply (zenon_L448_); trivial. % 0.82/1.01 (* end of lemma zenon_L449_ *) % 0.82/1.01 assert (zenon_L450_ : ((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a407))/\((c2_1 (a407))/\(c3_1 (a407)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp4))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (~(c1_1 (a415))) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp26)\/(hskp5))) -> (~(c3_1 (a401))) -> (c0_1 (a401)) -> (c1_1 (a401)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H11f zenon_H8f zenon_Hce zenon_H24e zenon_Hcf zenon_H28e zenon_H246 zenon_H232 zenon_H233 zenon_H234 zenon_H118 zenon_H199 zenon_H198 zenon_H197 zenon_H40 zenon_Hb3 zenon_H290 zenon_H291 zenon_H292 zenon_H1b. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Ha. zenon_intro zenon_H121. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Hd5. zenon_intro zenon_H122. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_Hd6. zenon_intro zenon_Hd4. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.01 apply (zenon_L391_); trivial. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H7a. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H50. zenon_intro zenon_H7b. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H4f. zenon_intro zenon_H52. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hc9 ]. % 0.82/1.01 apply (zenon_L126_); trivial. % 0.82/1.01 apply (zenon_L432_); trivial. % 0.82/1.01 (* end of lemma zenon_L450_ *) % 0.82/1.01 assert (zenon_L451_ : ((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a401)) -> (c0_1 (a401)) -> (~(c3_1 (a401))) -> (~(c2_1 (a420))) -> (~(c1_1 (a420))) -> (~(c0_1 (a420))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/(hskp28))) -> (~(c1_1 (a415))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c1_1 (a418)) -> (~(c2_1 (a418))) -> (~(c0_1 (a418))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/(hskp4))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H44 zenon_H17b zenon_H258 zenon_H292 zenon_H291 zenon_H290 zenon_H126 zenon_H125 zenon_H124 zenon_H16d zenon_H197 zenon_H198 zenon_H199 zenon_H118 zenon_H161 zenon_H160 zenon_H15f zenon_Hcf zenon_Hd1. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H46. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H39. zenon_intro zenon_H47. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H16b | zenon_intro zenon_H178 ]. % 0.82/1.01 apply (zenon_L371_); trivial. % 0.82/1.01 apply (zenon_L436_); trivial. % 0.82/1.01 (* end of lemma zenon_L451_ *) % 0.82/1.01 assert (zenon_L452_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (c1_1 (a401)) -> (c0_1 (a401)) -> (~(c3_1 (a401))) -> (~(c2_1 (a420))) -> (~(c1_1 (a420))) -> (~(c0_1 (a420))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/(hskp28))) -> (~(c1_1 (a415))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c1_1 (a418)) -> (~(c2_1 (a418))) -> (~(c0_1 (a418))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/(hskp4))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> (~(hskp0)) -> (~(c3_1 (a403))) -> (~(c2_1 (a403))) -> (~(c0_1 (a403))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H49 zenon_H17b zenon_H258 zenon_H292 zenon_H291 zenon_H290 zenon_H126 zenon_H125 zenon_H124 zenon_H16d zenon_H197 zenon_H198 zenon_H199 zenon_H118 zenon_H161 zenon_H160 zenon_H15f zenon_Hcf zenon_Hd1 zenon_H34 zenon_H1e zenon_H21f zenon_H21e zenon_H21d zenon_Ha zenon_H2a zenon_H2f zenon_H33. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H2c | zenon_intro zenon_H44 ]. % 0.82/1.01 apply (zenon_L201_); trivial. % 0.82/1.01 apply (zenon_L451_); trivial. % 0.82/1.01 (* end of lemma zenon_L452_ *) % 0.82/1.01 assert (zenon_L453_ : ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp25)\/(hskp28))) -> (c3_1 (a449)) -> (c1_1 (a449)) -> (~(c2_1 (a449))) -> (ndr1_0) -> (~(hskp25)) -> (~(hskp28)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H2ac zenon_H4f zenon_H50 zenon_H52 zenon_Ha zenon_H2ad zenon_H16b. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H72 | zenon_intro zenon_H2ae ]. % 0.82/1.01 apply (zenon_L30_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H2af | zenon_intro zenon_H16c ]. % 0.82/1.01 exact (zenon_H2ad zenon_H2af). % 0.82/1.01 exact (zenon_H16b zenon_H16c). % 0.82/1.01 (* end of lemma zenon_L453_ *) % 0.82/1.01 assert (zenon_L454_ : (forall X73 : zenon_U, ((ndr1_0)->((~(c1_1 X73))\/((~(c2_1 X73))\/(~(c3_1 X73)))))) -> (ndr1_0) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (c0_1 (a414)) -> (c3_1 (a414)) -> (c2_1 (a414)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H1ab zenon_Ha zenon_H10a zenon_H16f zenon_H171 zenon_H170. % 0.82/1.01 generalize (zenon_H1ab (a414)). zenon_intro zenon_H2b0. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_H2b0); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b1 ]. % 0.82/1.01 exact (zenon_H9 zenon_Ha). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H281 | zenon_intro zenon_H174 ]. % 0.82/1.01 apply (zenon_L342_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H177 | zenon_intro zenon_H176 ]. % 0.82/1.01 exact (zenon_H177 zenon_H170). % 0.82/1.01 exact (zenon_H176 zenon_H171). % 0.82/1.01 (* end of lemma zenon_L454_ *) % 0.82/1.01 assert (zenon_L455_ : ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((forall X73 : zenon_U, ((ndr1_0)->((~(c1_1 X73))\/((~(c2_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> (c0_1 (a410)) -> (~(c3_1 (a410))) -> (~(c1_1 (a410))) -> (c2_1 (a414)) -> (c3_1 (a414)) -> (c0_1 (a414)) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H1a9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H170 zenon_H171 zenon_H16f zenon_H10a zenon_Ha zenon_H62. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H114 | zenon_intro zenon_H1aa ]. % 0.82/1.01 apply (zenon_L119_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H1ab | zenon_intro zenon_H63 ]. % 0.82/1.01 apply (zenon_L454_); trivial. % 0.82/1.01 exact (zenon_H62 zenon_H63). % 0.82/1.01 (* end of lemma zenon_L455_ *) % 0.82/1.01 assert (zenon_L456_ : ((ndr1_0)/\((c0_1 (a405))/\((c1_1 (a405))/\(c3_1 (a405))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((forall X73 : zenon_U, ((ndr1_0)->((~(c1_1 X73))\/((~(c2_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> (c0_1 (a410)) -> (~(c3_1 (a410))) -> (~(c1_1 (a410))) -> (~(hskp12)) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp12)\/(hskp9))) -> (~(hskp9)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H2b2 zenon_H1a9 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H1fb zenon_H1fd zenon_H62. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H2b2). zenon_intro zenon_Ha. zenon_intro zenon_H2b3. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H2b5. zenon_intro zenon_H2b4. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H2b7. zenon_intro zenon_H2b6. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H114 | zenon_intro zenon_H1aa ]. % 0.82/1.01 apply (zenon_L119_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H1ab | zenon_intro zenon_H63 ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H54 | zenon_intro zenon_H1fe ]. % 0.82/1.01 generalize (zenon_H54 (a405)). zenon_intro zenon_H2b8. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_H2b8); [ zenon_intro zenon_H9 | zenon_intro zenon_H2b9 ]. % 0.82/1.01 exact (zenon_H9 zenon_Ha). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H2b9); [ zenon_intro zenon_H2bb | zenon_intro zenon_H2ba ]. % 0.82/1.01 generalize (zenon_H1ab (a405)). zenon_intro zenon_H2bc. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_H2bc); [ zenon_intro zenon_H9 | zenon_intro zenon_H2bd ]. % 0.82/1.01 exact (zenon_H9 zenon_Ha). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_H2bf | zenon_intro zenon_H2be ]. % 0.82/1.01 exact (zenon_H2bf zenon_H2b7). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H2be); [ zenon_intro zenon_H2c1 | zenon_intro zenon_H2c0 ]. % 0.82/1.01 exact (zenon_H2c1 zenon_H2bb). % 0.82/1.01 exact (zenon_H2c0 zenon_H2b6). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_H2c2 | zenon_intro zenon_H2c0 ]. % 0.82/1.01 exact (zenon_H2c2 zenon_H2b5). % 0.82/1.01 exact (zenon_H2c0 zenon_H2b6). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H1fc | zenon_intro zenon_H63 ]. % 0.82/1.01 exact (zenon_H1fb zenon_H1fc). % 0.82/1.01 exact (zenon_H62 zenon_H63). % 0.82/1.01 exact (zenon_H62 zenon_H63). % 0.82/1.01 (* end of lemma zenon_L456_ *) % 0.82/1.01 assert (zenon_L457_ : ((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a405))/\((c1_1 (a405))/\(c3_1 (a405)))))) -> (~(hskp12)) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp12)\/(hskp9))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp25)\/(hskp28))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (~(c1_1 (a415))) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((forall X73 : zenon_U, ((ndr1_0)->((~(c1_1 X73))\/((~(c2_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a410)) -> (~(c3_1 (a410))) -> (~(c1_1 (a410))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414)))))) -> (~(c3_1 (a401))) -> (c0_1 (a401)) -> (c1_1 (a401)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H11f zenon_H8f zenon_H2c3 zenon_H1fb zenon_H1fd zenon_H2ac zenon_H118 zenon_H199 zenon_H198 zenon_H197 zenon_H234 zenon_H233 zenon_H232 zenon_H1a9 zenon_H62 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_H24e zenon_H17b zenon_H290 zenon_H291 zenon_H292 zenon_H1b. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Ha. zenon_intro zenon_H121. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Hd5. zenon_intro zenon_H122. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_Hd6. zenon_intro zenon_Hd4. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.01 apply (zenon_L391_); trivial. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H7a. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H50. zenon_intro zenon_H7b. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H4f. zenon_intro zenon_H52. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2b2 ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H16b | zenon_intro zenon_H178 ]. % 0.82/1.01 apply (zenon_L453_); trivial. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_Ha. zenon_intro zenon_H179. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H16f. zenon_intro zenon_H17a. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H24f ]. % 0.82/1.01 apply (zenon_L125_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H240 | zenon_intro zenon_H10a ]. % 0.82/1.01 apply (zenon_L249_); trivial. % 0.82/1.01 apply (zenon_L455_); trivial. % 0.82/1.01 apply (zenon_L456_); trivial. % 0.82/1.01 (* end of lemma zenon_L457_ *) % 0.82/1.01 assert (zenon_L458_ : ((ndr1_0)/\((~(c0_1 (a420)))/\((~(c1_1 (a420)))/\(~(c2_1 (a420)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a426))/\((c1_1 (a426))/\(~(c2_1 (a426))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (~(c0_1 (a403))) -> (~(c2_1 (a403))) -> (~(c3_1 (a403))) -> (~(hskp0)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/((hskp27)\/(hskp0))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (c1_1 (a401)) -> (c0_1 (a401)) -> (~(c3_1 (a401))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp25)\/(hskp28))) -> (~(c1_1 (a410))) -> (~(c3_1 (a410))) -> (c0_1 (a410)) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp12)\/(hskp9))) -> (~(hskp9)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((forall X73 : zenon_U, ((ndr1_0)->((~(c1_1 X73))\/((~(c2_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a405))/\((c1_1 (a405))/\(c3_1 (a405)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H156 zenon_H217 zenon_H33 zenon_H246 zenon_H232 zenon_H233 zenon_H234 zenon_H21d zenon_H21e zenon_H21f zenon_H1e zenon_H34 zenon_H1b zenon_H292 zenon_H291 zenon_H290 zenon_H17b zenon_H258 zenon_H2ac zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H1fd zenon_H62 zenon_H1a9 zenon_H2c3 zenon_H8f. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H124. zenon_intro zenon_H158. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H125. zenon_intro zenon_H126. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.01 apply (zenon_L391_); trivial. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H7a. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H50. zenon_intro zenon_H7b. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H4f. zenon_intro zenon_H52. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2b2 ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H16b | zenon_intro zenon_H178 ]. % 0.82/1.01 apply (zenon_L453_); trivial. % 0.82/1.01 apply (zenon_L436_); trivial. % 0.82/1.01 apply (zenon_L456_); trivial. % 0.82/1.01 apply (zenon_L359_); trivial. % 0.82/1.01 (* end of lemma zenon_L458_ *) % 0.82/1.01 assert (zenon_L459_ : ((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp9))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c1_1 (a434)) -> (~(c3_1 (a434))) -> (~(c0_1 (a434))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> (~(c0_1 (a408))) -> (c2_1 (a408)) -> (c3_1 (a408)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H11f zenon_H120 zenon_H11a zenon_H118 zenon_H9a zenon_H92 zenon_H91 zenon_Hdd zenon_H62 zenon_H1da zenon_H1db zenon_H1dc zenon_Hfe zenon_H87 zenon_H15c zenon_H33. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Ha. zenon_intro zenon_H121. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Hd5. zenon_intro zenon_H122. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_Hd6. zenon_intro zenon_Hd4. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.82/1.01 apply (zenon_L149_); trivial. % 0.82/1.01 apply (zenon_L75_); trivial. % 0.82/1.01 (* end of lemma zenon_L459_ *) % 0.82/1.01 assert (zenon_L460_ : ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (~(c1_1 (a415))) -> (c3_1 (a408)) -> (c2_1 (a408)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> (~(c0_1 (a408))) -> (ndr1_0) -> False). % 0.82/1.01 do 0 intro. intros zenon_H118 zenon_H199 zenon_H198 zenon_H197 zenon_H1dc zenon_H1db zenon_Ha7 zenon_H1da zenon_Ha. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H10a ]. % 0.82/1.01 apply (zenon_L223_); trivial. % 0.82/1.01 apply (zenon_L124_); trivial. % 0.82/1.01 (* end of lemma zenon_L460_ *) % 0.82/1.01 assert (zenon_L461_ : ((ndr1_0)/\((c2_1 (a415))/\((c3_1 (a415))/\(~(c1_1 (a415)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a408))) -> (c2_1 (a408)) -> (c3_1 (a408)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp4))) -> (c1_1 (a401)) -> (c0_1 (a401)) -> (~(c3_1 (a401))) -> (~(hskp4)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H1c5 zenon_H24e zenon_H1da zenon_H1db zenon_H1dc zenon_H118 zenon_H232 zenon_H233 zenon_H234 zenon_H28e zenon_H292 zenon_H291 zenon_H290 zenon_Hcf. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c6. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H198. zenon_intro zenon_H1c7. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H199. zenon_intro zenon_H197. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H24f ]. % 0.82/1.01 apply (zenon_L460_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H240 | zenon_intro zenon_H10a ]. % 0.82/1.01 apply (zenon_L249_); trivial. % 0.82/1.01 apply (zenon_L431_); trivial. % 0.82/1.01 (* end of lemma zenon_L461_ *) % 0.82/1.01 assert (zenon_L462_ : ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c1_1 (a410))) -> (~(c3_1 (a410))) -> (c0_1 (a410)) -> (c0_1 (a414)) -> (c3_1 (a414)) -> (c2_1 (a414)) -> (~(hskp9)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((forall X73 : zenon_U, ((ndr1_0)->((~(c1_1 X73))\/((~(c2_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> (c3_1 (a408)) -> (c2_1 (a408)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6)))))) -> (~(c0_1 (a408))) -> (ndr1_0) -> False). % 0.82/1.01 do 0 intro. intros zenon_H118 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H16f zenon_H171 zenon_H170 zenon_H62 zenon_H1a9 zenon_H1dc zenon_H1db zenon_Ha7 zenon_H1da zenon_Ha. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H10a ]. % 0.82/1.01 apply (zenon_L223_); trivial. % 0.82/1.01 apply (zenon_L455_); trivial. % 0.82/1.01 (* end of lemma zenon_L462_ *) % 0.82/1.01 assert (zenon_L463_ : ((ndr1_0)/\((c0_1 (a410))/\((~(c1_1 (a410)))/\(~(c3_1 (a410)))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a416))/\((~(c0_1 (a416)))/\(~(c1_1 (a416))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a405))/\((c1_1 (a405))/\(c3_1 (a405)))))) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp12)\/(hskp9))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp25)\/(hskp28))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((forall X73 : zenon_U, ((ndr1_0)->((~(c1_1 X73))\/((~(c2_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> (c3_1 (a408)) -> (c2_1 (a408)) -> (~(c0_1 (a408))) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414)))))) -> (~(c3_1 (a401))) -> (c0_1 (a401)) -> (c1_1 (a401)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))))) -> (~(c3_1 (a403))) -> (~(c2_1 (a403))) -> (~(c0_1 (a403))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a426))/\((c1_1 (a426))/\(~(c2_1 (a426))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H1d6 zenon_H1c4 zenon_H28e zenon_Hcf zenon_H8f zenon_H2c3 zenon_H1fd zenon_H2ac zenon_H118 zenon_H1a9 zenon_H1dc zenon_H1db zenon_H1da zenon_H234 zenon_H233 zenon_H232 zenon_H24e zenon_H17b zenon_H290 zenon_H291 zenon_H292 zenon_H1b zenon_H33 zenon_H246 zenon_H209 zenon_H1ed zenon_H21f zenon_H21e zenon_H21d zenon_Hdd zenon_H71 zenon_H217. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_Ha. zenon_intro zenon_H1d8. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1a2. zenon_intro zenon_H1d9. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1a0. zenon_intro zenon_H1a1. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.01 apply (zenon_L391_); trivial. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H7a. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H50. zenon_intro zenon_H7b. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H4f. zenon_intro zenon_H52. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2b2 ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H16b | zenon_intro zenon_H178 ]. % 0.82/1.01 apply (zenon_L453_); trivial. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_Ha. zenon_intro zenon_H179. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H16f. zenon_intro zenon_H17a. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H24f ]. % 0.82/1.01 apply (zenon_L462_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H240 | zenon_intro zenon_H10a ]. % 0.82/1.01 apply (zenon_L249_); trivial. % 0.82/1.01 apply (zenon_L455_); trivial. % 0.82/1.01 apply (zenon_L456_); trivial. % 0.82/1.01 apply (zenon_L384_); trivial. % 0.82/1.01 apply (zenon_L404_); trivial. % 0.82/1.01 (* end of lemma zenon_L463_ *) % 0.82/1.01 assert (zenon_L464_ : (forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5)))))) -> (ndr1_0) -> (~(c3_1 (a400))) -> (c1_1 (a400)) -> (c2_1 (a400)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H2c4 zenon_Ha zenon_H2c5 zenon_H2c6 zenon_H2c7. % 0.82/1.01 generalize (zenon_H2c4 (a400)). zenon_intro zenon_H2c8. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_H2c8); [ zenon_intro zenon_H9 | zenon_intro zenon_H2c9 ]. % 0.82/1.01 exact (zenon_H9 zenon_Ha). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H2c9); [ zenon_intro zenon_H2cb | zenon_intro zenon_H2ca ]. % 0.82/1.01 exact (zenon_H2c5 zenon_H2cb). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H2cd | zenon_intro zenon_H2cc ]. % 0.82/1.01 exact (zenon_H2cd zenon_H2c6). % 0.82/1.01 exact (zenon_H2cc zenon_H2c7). % 0.82/1.01 (* end of lemma zenon_L464_ *) % 0.82/1.01 assert (zenon_L465_ : ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp12)\/(hskp10))) -> (c2_1 (a400)) -> (c1_1 (a400)) -> (~(c3_1 (a400))) -> (ndr1_0) -> (~(hskp12)) -> (~(hskp10)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H2ce zenon_H2c7 zenon_H2c6 zenon_H2c5 zenon_Ha zenon_H1fb zenon_H152. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H2ce); [ zenon_intro zenon_H2c4 | zenon_intro zenon_H2cf ]. % 0.82/1.01 apply (zenon_L464_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H2cf); [ zenon_intro zenon_H1fc | zenon_intro zenon_H153 ]. % 0.82/1.01 exact (zenon_H1fb zenon_H1fc). % 0.82/1.01 exact (zenon_H152 zenon_H153). % 0.82/1.01 (* end of lemma zenon_L465_ *) % 0.82/1.01 assert (zenon_L466_ : (forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))) -> (ndr1_0) -> (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17)))))) -> (~(c3_1 (a400))) -> (c2_1 (a400)) -> (c1_1 (a400)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H20 zenon_Ha zenon_H90 zenon_H2c5 zenon_H2c7 zenon_H2c6. % 0.82/1.01 generalize (zenon_H20 (a400)). zenon_intro zenon_H2d0. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_H2d0); [ zenon_intro zenon_H9 | zenon_intro zenon_H2d1 ]. % 0.82/1.01 exact (zenon_H9 zenon_Ha). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H2ca ]. % 0.82/1.01 generalize (zenon_H90 (a400)). zenon_intro zenon_H2d3. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_H2d3); [ zenon_intro zenon_H9 | zenon_intro zenon_H2d4 ]. % 0.82/1.01 exact (zenon_H9 zenon_Ha). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H2d5 ]. % 0.82/1.01 exact (zenon_H2d2 zenon_H2d6). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2cb | zenon_intro zenon_H2cc ]. % 0.82/1.01 exact (zenon_H2c5 zenon_H2cb). % 0.82/1.01 exact (zenon_H2cc zenon_H2c7). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H2cd | zenon_intro zenon_H2cc ]. % 0.82/1.01 exact (zenon_H2cd zenon_H2c6). % 0.82/1.01 exact (zenon_H2cc zenon_H2c7). % 0.82/1.01 (* end of lemma zenon_L466_ *) % 0.82/1.01 assert (zenon_L467_ : ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (c1_1 (a400)) -> (c2_1 (a400)) -> (~(c3_1 (a400))) -> (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17)))))) -> (ndr1_0) -> (~(hskp19)) -> (~(hskp24)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H2f zenon_H2c6 zenon_H2c7 zenon_H2c5 zenon_H90 zenon_Ha zenon_H2a zenon_H2c. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H20 | zenon_intro zenon_H32 ]. % 0.82/1.01 apply (zenon_L466_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H2b | zenon_intro zenon_H2d ]. % 0.82/1.01 exact (zenon_H2a zenon_H2b). % 0.82/1.01 exact (zenon_H2c zenon_H2d). % 0.82/1.01 (* end of lemma zenon_L467_ *) % 0.82/1.01 assert (zenon_L468_ : ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp24)) -> (~(hskp19)) -> (~(c3_1 (a400))) -> (c2_1 (a400)) -> (c1_1 (a400)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (c3_1 (a449)) -> (c1_1 (a449)) -> (~(c2_1 (a449))) -> (ndr1_0) -> (~(hskp14)) -> False). % 0.82/1.01 do 0 intro. intros zenon_Ha1 zenon_H2c zenon_H2a zenon_H2c5 zenon_H2c7 zenon_H2c6 zenon_H2f zenon_H4f zenon_H50 zenon_H52 zenon_Ha zenon_H9f. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H90 | zenon_intro zenon_Ha2 ]. % 0.82/1.01 apply (zenon_L467_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H72 | zenon_intro zenon_Ha0 ]. % 0.82/1.01 apply (zenon_L30_); trivial. % 0.82/1.01 exact (zenon_H9f zenon_Ha0). % 0.82/1.01 (* end of lemma zenon_L468_ *) % 0.82/1.01 assert (zenon_L469_ : ((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (~(hskp19)) -> (c1_1 (a400)) -> (c2_1 (a400)) -> (~(c3_1 (a400))) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H78 zenon_H49 zenon_H154 zenon_H152 zenon_H2f zenon_H2a zenon_H2c6 zenon_H2c7 zenon_H2c5 zenon_H9f zenon_Ha1. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H7a. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H50. zenon_intro zenon_H7b. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H4f. zenon_intro zenon_H52. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H2c | zenon_intro zenon_H44 ]. % 0.82/1.01 apply (zenon_L468_); trivial. % 0.82/1.01 apply (zenon_L173_); trivial. % 0.82/1.01 (* end of lemma zenon_L469_ *) % 0.82/1.01 assert (zenon_L470_ : (forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))) -> (ndr1_0) -> (~(c3_1 (a400))) -> (c0_1 (a400)) -> (c1_1 (a400)) -> False). % 0.82/1.01 do 0 intro. intros zenon_Hb zenon_Ha zenon_H2c5 zenon_H2d6 zenon_H2c6. % 0.82/1.01 generalize (zenon_Hb (a400)). zenon_intro zenon_H2d7. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_H2d7); [ zenon_intro zenon_H9 | zenon_intro zenon_H2d8 ]. % 0.82/1.01 exact (zenon_H9 zenon_Ha). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H2d8); [ zenon_intro zenon_H2cb | zenon_intro zenon_H2d9 ]. % 0.82/1.01 exact (zenon_H2c5 zenon_H2cb). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H2d9); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H2cd ]. % 0.82/1.01 exact (zenon_H2d2 zenon_H2d6). % 0.82/1.01 exact (zenon_H2cd zenon_H2c6). % 0.82/1.01 (* end of lemma zenon_L470_ *) % 0.82/1.01 assert (zenon_L471_ : (forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50)))))) -> (ndr1_0) -> (forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))) -> (~(c3_1 (a400))) -> (c1_1 (a400)) -> (c2_1 (a400)) -> False). % 0.82/1.01 do 0 intro. intros zenon_Hdf zenon_Ha zenon_Hb zenon_H2c5 zenon_H2c6 zenon_H2c7. % 0.82/1.01 generalize (zenon_Hdf (a400)). zenon_intro zenon_H2da. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_H2da); [ zenon_intro zenon_H9 | zenon_intro zenon_H2db ]. % 0.82/1.01 exact (zenon_H9 zenon_Ha). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H2ca ]. % 0.82/1.01 apply (zenon_L470_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H2cd | zenon_intro zenon_H2cc ]. % 0.82/1.01 exact (zenon_H2cd zenon_H2c6). % 0.82/1.01 exact (zenon_H2cc zenon_H2c7). % 0.82/1.01 (* end of lemma zenon_L471_ *) % 0.82/1.01 assert (zenon_L472_ : ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (~(hskp20)) -> (c2_1 (a400)) -> (c1_1 (a400)) -> (~(c3_1 (a400))) -> (ndr1_0) -> (forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50)))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H1b zenon_H3 zenon_H2c7 zenon_H2c6 zenon_H2c5 zenon_Ha zenon_Hdf. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H1b); [ zenon_intro zenon_Hb | zenon_intro zenon_H4 ]. % 0.82/1.01 apply (zenon_L471_); trivial. % 0.82/1.01 exact (zenon_H3 zenon_H4). % 0.82/1.01 (* end of lemma zenon_L472_ *) % 0.82/1.01 assert (zenon_L473_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> (~(c0_1 (a445))) -> (c1_1 (a445)) -> (c3_1 (a445)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c3_1 (a400))) -> (c1_1 (a400)) -> (c2_1 (a400)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (~(hskp20)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (ndr1_0) -> (~(c2_1 (a426))) -> (c0_1 (a426)) -> (c1_1 (a426)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H120 zenon_H185 zenon_Hc7 zenon_Hd4 zenon_Hd5 zenon_Hd6 zenon_H118 zenon_H2c5 zenon_H2c6 zenon_H2c7 zenon_H33 zenon_H1b zenon_H3 zenon_H87 zenon_Hfe zenon_Ha zenon_H200 zenon_H201 zenon_H202 zenon_H209 zenon_H6a zenon_H4a zenon_H6d zenon_H71. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.82/1.01 apply (zenon_L165_); trivial. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_Ha. zenon_intro zenon_H11b. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10c. zenon_intro zenon_H11c. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H11d. zenon_intro zenon_H10b. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hdf | zenon_intro zenon_H186 ]. % 0.82/1.01 apply (zenon_L472_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H114 | zenon_intro zenon_Hc8 ]. % 0.82/1.01 apply (zenon_L74_); trivial. % 0.82/1.01 exact (zenon_Hc7 zenon_Hc8). % 0.82/1.01 (* end of lemma zenon_L473_ *) % 0.82/1.01 assert (zenon_L474_ : ((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> (~(hskp16)) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (c1_1 (a426)) -> (c0_1 (a426)) -> (~(c2_1 (a426))) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> (c2_1 (a400)) -> (c1_1 (a400)) -> (~(c3_1 (a400))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(hskp1)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H11f zenon_H8f zenon_H64 zenon_H62 zenon_H60 zenon_H4c zenon_H4e zenon_H71 zenon_H6d zenon_H4a zenon_H6a zenon_H209 zenon_H202 zenon_H201 zenon_H200 zenon_Hfe zenon_H87 zenon_H1b zenon_H33 zenon_H2c7 zenon_H2c6 zenon_H2c5 zenon_H118 zenon_Hc7 zenon_H185 zenon_H120. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Ha. zenon_intro zenon_H121. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Hd5. zenon_intro zenon_H122. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_Hd6. zenon_intro zenon_Hd4. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.01 apply (zenon_L473_); trivial. % 0.82/1.01 apply (zenon_L44_); trivial. % 0.82/1.01 (* end of lemma zenon_L474_ *) % 0.82/1.01 assert (zenon_L475_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp9))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp7))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (c1_1 (a426)) -> (c0_1 (a426)) -> (~(c2_1 (a426))) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(hskp1)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((hskp18)\/((hskp20)\/(hskp23))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (~(c3_1 (a400))) -> (c2_1 (a400)) -> (c1_1 (a400)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((hskp2)\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a440))/\((~(c2_1 (a440)))/\(~(c3_1 (a440))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_Ha6 zenon_H11a zenon_H13f zenon_H187 zenon_H18a zenon_H64 zenon_H62 zenon_H60 zenon_H4e zenon_H209 zenon_H202 zenon_H201 zenon_H200 zenon_Hfe zenon_H87 zenon_H1b zenon_H33 zenon_H118 zenon_Hc7 zenon_H185 zenon_H120 zenon_H71 zenon_H6d zenon_H4a zenon_H6a zenon_H7 zenon_Ha1 zenon_H9f zenon_H2c5 zenon_H2c7 zenon_H2c6 zenon_H2f zenon_H152 zenon_H154 zenon_H49 zenon_H8f zenon_H89 zenon_H8e. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H4c | zenon_intro zenon_Ha3 ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H1 | zenon_intro zenon_H8b ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.01 apply (zenon_L29_); trivial. % 0.82/1.01 apply (zenon_L469_); trivial. % 0.82/1.01 apply (zenon_L474_); trivial. % 0.82/1.01 apply (zenon_L36_); trivial. % 0.82/1.01 apply (zenon_L180_); trivial. % 0.82/1.01 (* end of lemma zenon_L475_ *) % 0.82/1.01 assert (zenon_L476_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a428)) -> (~(c1_1 (a428))) -> (~(c0_1 (a428))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (~(hskp23)) -> (c1_1 (a426)) -> (c0_1 (a426)) -> (~(c2_1 (a426))) -> (ndr1_0) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H49 zenon_Hd1 zenon_Hcf zenon_Haa zenon_Ha9 zenon_Ha8 zenon_H209 zenon_H5 zenon_H202 zenon_H201 zenon_H200 zenon_Ha zenon_H2a zenon_H2f zenon_H33. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H2c | zenon_intro zenon_H44 ]. % 0.82/1.01 apply (zenon_L166_); trivial. % 0.82/1.01 apply (zenon_L58_); trivial. % 0.82/1.01 (* end of lemma zenon_L476_ *) % 0.82/1.01 assert (zenon_L477_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (~(hskp19)) -> (ndr1_0) -> (~(c2_1 (a426))) -> (c0_1 (a426)) -> (c1_1 (a426)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (~(c0_1 (a428))) -> (~(c1_1 (a428))) -> (c2_1 (a428)) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H71 zenon_H6d zenon_H4a zenon_H6a zenon_H33 zenon_H2f zenon_H2a zenon_Ha zenon_H200 zenon_H201 zenon_H202 zenon_H209 zenon_Ha8 zenon_Ha9 zenon_Haa zenon_Hcf zenon_Hd1 zenon_H49. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.82/1.01 apply (zenon_L476_); trivial. % 0.82/1.01 apply (zenon_L28_); trivial. % 0.82/1.01 (* end of lemma zenon_L477_ *) % 0.82/1.01 assert (zenon_L478_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((hskp8)\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> (~(hskp16)) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16))) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (c2_1 (a400)) -> (c1_1 (a400)) -> (~(c3_1 (a400))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(hskp1)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp1))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a428)) -> (~(c1_1 (a428))) -> (~(c0_1 (a428))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (c1_1 (a426)) -> (c0_1 (a426)) -> (~(c2_1 (a426))) -> (ndr1_0) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H18a zenon_H8f zenon_H64 zenon_H62 zenon_H60 zenon_H4c zenon_H4e zenon_Hfe zenon_H87 zenon_H1b zenon_H2c7 zenon_H2c6 zenon_H2c5 zenon_H118 zenon_Hc7 zenon_H185 zenon_H120 zenon_H49 zenon_Hd1 zenon_Hcf zenon_Haa zenon_Ha9 zenon_Ha8 zenon_H209 zenon_H202 zenon_H201 zenon_H200 zenon_Ha zenon_H2f zenon_H33 zenon_H6a zenon_H4a zenon_H6d zenon_H71. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/1.01 apply (zenon_L477_); trivial. % 0.82/1.01 apply (zenon_L474_); trivial. % 0.82/1.01 (* end of lemma zenon_L478_ *) % 0.82/1.01 assert (zenon_L479_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a418))/\((~(c0_1 (a418)))/\(~(c2_1 (a418))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a426))/\((c1_1 (a426))/\(~(c2_1 (a426))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a428))/\((~(c0_1 (a428)))/\(~(c1_1 (a428))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16))) -> (~(hskp8)) -> (~(hskp9)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((hskp8)\/(hskp9))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp7))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp9))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> ((hskp18)\/((hskp20)\/(hskp23))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((hskp2)\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a440))/\((~(c2_1 (a440)))/\(~(c3_1 (a440))))))) -> (ndr1_0) -> (~(c3_1 (a400))) -> (c1_1 (a400)) -> (c2_1 (a400)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp12)\/(hskp10))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a420)))/\((~(c1_1 (a420)))/\(~(c2_1 (a420))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H189 zenon_H217 zenon_H18b zenon_H1d7 zenon_Hdd zenon_H100 zenon_H105 zenon_Hcf zenon_Hd1 zenon_H49 zenon_H154 zenon_H2f zenon_Ha1 zenon_H120 zenon_H185 zenon_Hc7 zenon_H118 zenon_H33 zenon_H1b zenon_Hfe zenon_H209 zenon_H4e zenon_H60 zenon_H62 zenon_H64 zenon_H18a zenon_H187 zenon_H13f zenon_H11a zenon_Ha6 zenon_H8f zenon_H79 zenon_H7 zenon_H6a zenon_H4a zenon_H6d zenon_H71 zenon_H89 zenon_H8e zenon_Ha zenon_H2c5 zenon_H2c6 zenon_H2c7 zenon_H2ce zenon_H12d zenon_H18d. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.82/1.01 apply (zenon_L465_); trivial. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Ha. zenon_intro zenon_H219. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H201. zenon_intro zenon_H21a. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H202. zenon_intro zenon_H200. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H76 | zenon_intro zenon_H18f ]. % 0.82/1.01 apply (zenon_L37_); trivial. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Ha. zenon_intro zenon_H190. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_He1. zenon_intro zenon_H191. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_He2. zenon_intro zenon_He0. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H9f | zenon_intro zenon_H1d3 ]. % 0.82/1.01 apply (zenon_L475_); trivial. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_Ha. zenon_intro zenon_H1d4. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_Haa. zenon_intro zenon_H1d5. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_Ha8. zenon_intro zenon_Ha9. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H4c | zenon_intro zenon_Ha3 ]. % 0.82/1.01 apply (zenon_L478_); trivial. % 0.82/1.01 apply (zenon_L182_); trivial. % 0.82/1.01 apply (zenon_L91_); trivial. % 0.82/1.01 apply (zenon_L186_); trivial. % 0.82/1.01 (* end of lemma zenon_L479_ *) % 0.82/1.01 assert (zenon_L480_ : (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17)))))) -> (ndr1_0) -> (forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))) -> (~(c3_1 (a400))) -> (c1_1 (a400)) -> (c2_1 (a400)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H90 zenon_Ha zenon_Hb zenon_H2c5 zenon_H2c6 zenon_H2c7. % 0.82/1.01 generalize (zenon_H90 (a400)). zenon_intro zenon_H2d3. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_H2d3); [ zenon_intro zenon_H9 | zenon_intro zenon_H2d4 ]. % 0.82/1.01 exact (zenon_H9 zenon_Ha). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H2d4); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H2d5 ]. % 0.82/1.01 apply (zenon_L470_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H2d5); [ zenon_intro zenon_H2cb | zenon_intro zenon_H2cc ]. % 0.82/1.01 exact (zenon_H2c5 zenon_H2cb). % 0.82/1.01 exact (zenon_H2cc zenon_H2c7). % 0.82/1.01 (* end of lemma zenon_L480_ *) % 0.82/1.01 assert (zenon_L481_ : ((ndr1_0)/\((c3_1 (a416))/\((~(c0_1 (a416)))/\(~(c1_1 (a416)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp6))) -> (~(hskp4)) -> (~(c3_1 (a400))) -> (c1_1 (a400)) -> (c2_1 (a400)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp4))) -> (~(hskp6)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H1b6 zenon_H21b zenon_Hcf zenon_H2c5 zenon_H2c6 zenon_H2c7 zenon_H28e zenon_H131. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_Ha. zenon_intro zenon_H1b7. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H138. zenon_intro zenon_H1b8. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H135 | zenon_intro zenon_H21c ]. % 0.82/1.01 apply (zenon_L82_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H90 | zenon_intro zenon_H132 ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H135 | zenon_intro zenon_H28f ]. % 0.82/1.01 apply (zenon_L82_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd0 ]. % 0.82/1.01 apply (zenon_L480_); trivial. % 0.82/1.01 exact (zenon_Hcf zenon_Hd0). % 0.82/1.01 exact (zenon_H131 zenon_H132). % 0.82/1.01 (* end of lemma zenon_L481_ *) % 0.82/1.01 assert (zenon_L482_ : ((ndr1_0)/\((c0_1 (a410))/\((~(c1_1 (a410)))/\(~(c3_1 (a410)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a400))) -> (c1_1 (a400)) -> (c2_1 (a400)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (~(hskp2)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H1d6 zenon_H18b zenon_H185 zenon_Hc7 zenon_H2c5 zenon_H2c6 zenon_H2c7 zenon_H1b zenon_H6a zenon_H79 zenon_H8f. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_Ha. zenon_intro zenon_H1d8. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1a2. zenon_intro zenon_H1d9. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1a0. zenon_intro zenon_H1a1. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H76 | zenon_intro zenon_H18f ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hdf | zenon_intro zenon_H186 ]. % 0.82/1.01 apply (zenon_L472_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H114 | zenon_intro zenon_Hc8 ]. % 0.82/1.01 apply (zenon_L119_); trivial. % 0.82/1.01 exact (zenon_Hc7 zenon_Hc8). % 0.82/1.01 apply (zenon_L32_); trivial. % 0.82/1.01 apply (zenon_L121_); trivial. % 0.82/1.01 (* end of lemma zenon_L482_ *) % 0.82/1.01 assert (zenon_L483_ : ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (c2_1 (a409)) -> (~(c3_1 (a409))) -> (~(c0_1 (a409))) -> (c1_1 (a445)) -> (c3_1 (a445)) -> (~(c0_1 (a445))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V)))))) -> (ndr1_0) -> (~(hskp14)) -> False). % 0.82/1.01 do 0 intro. intros zenon_Ha1 zenon_H1ca zenon_H1c9 zenon_H1c8 zenon_Hd5 zenon_Hd6 zenon_Hd4 zenon_Hb8 zenon_Ha zenon_H9f. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H90 | zenon_intro zenon_Ha2 ]. % 0.82/1.01 apply (zenon_L130_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H72 | zenon_intro zenon_Ha0 ]. % 0.82/1.01 apply (zenon_L334_); trivial. % 0.82/1.01 exact (zenon_H9f zenon_Ha0). % 0.82/1.01 (* end of lemma zenon_L483_ *) % 0.82/1.01 assert (zenon_L484_ : ((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp1))) -> (~(hskp14)) -> (~(c0_1 (a409))) -> (~(c3_1 (a409))) -> (c2_1 (a409)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp1)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H11f zenon_Hca zenon_H9f zenon_H1c8 zenon_H1c9 zenon_H1ca zenon_Ha1 zenon_Hc7. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Ha. zenon_intro zenon_H121. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Hd5. zenon_intro zenon_H122. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_Hd6. zenon_intro zenon_Hd4. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H90 | zenon_intro zenon_Hcd ]. % 0.82/1.01 apply (zenon_L130_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hc8 ]. % 0.82/1.01 apply (zenon_L483_); trivial. % 0.82/1.01 exact (zenon_Hc7 zenon_Hc8). % 0.82/1.01 (* end of lemma zenon_L484_ *) % 0.82/1.01 assert (zenon_L485_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (ndr1_0) -> (~(c2_1 (a426))) -> (c0_1 (a426)) -> (c1_1 (a426)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> (~(c0_1 (a409))) -> (~(c3_1 (a409))) -> (c2_1 (a409)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H18a zenon_Hca zenon_Hc7 zenon_H120 zenon_H2f zenon_Hcf zenon_H181 zenon_H49 zenon_H33 zenon_H1b zenon_H87 zenon_Hfe zenon_Ha zenon_H200 zenon_H201 zenon_H202 zenon_H209 zenon_H6a zenon_H4a zenon_H6d zenon_H71 zenon_H1c8 zenon_H1c9 zenon_H1ca zenon_H9f zenon_Ha1 zenon_H8f. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.82/1.01 apply (zenon_L165_); trivial. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_Ha. zenon_intro zenon_H11b. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10c. zenon_intro zenon_H11c. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H11d. zenon_intro zenon_H10b. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H2c | zenon_intro zenon_H44 ]. % 0.82/1.01 apply (zenon_L166_); trivial. % 0.82/1.01 apply (zenon_L218_); trivial. % 0.82/1.01 apply (zenon_L28_); trivial. % 0.82/1.01 apply (zenon_L136_); trivial. % 0.82/1.01 apply (zenon_L484_); trivial. % 0.82/1.01 (* end of lemma zenon_L485_ *) % 0.82/1.01 assert (zenon_L486_ : ((~(hskp14))\/((ndr1_0)/\((c2_1 (a428))/\((~(c0_1 (a428)))/\(~(c1_1 (a428))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a400)) -> (c1_1 (a400)) -> (~(c3_1 (a400))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp1))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (c2_1 (a409)) -> (~(c3_1 (a409))) -> (~(c0_1 (a409))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (c1_1 (a426)) -> (c0_1 (a426)) -> (~(c2_1 (a426))) -> (ndr1_0) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> (~(hskp1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H1d7 zenon_H79 zenon_H76 zenon_H2c7 zenon_H2c6 zenon_H2c5 zenon_H118 zenon_H185 zenon_Hd1 zenon_H8f zenon_Ha1 zenon_H1ca zenon_H1c9 zenon_H1c8 zenon_H71 zenon_H6d zenon_H4a zenon_H6a zenon_H209 zenon_H202 zenon_H201 zenon_H200 zenon_Ha zenon_Hfe zenon_H87 zenon_H1b zenon_H33 zenon_H49 zenon_H181 zenon_Hcf zenon_H2f zenon_H120 zenon_Hc7 zenon_Hca zenon_H18a. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H9f | zenon_intro zenon_H1d3 ]. % 0.82/1.01 apply (zenon_L485_); trivial. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_Ha. zenon_intro zenon_H1d4. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_Haa. zenon_intro zenon_H1d5. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_Ha8. zenon_intro zenon_Ha9. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/1.01 apply (zenon_L477_); trivial. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Ha. zenon_intro zenon_H121. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Hd5. zenon_intro zenon_H122. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_Hd6. zenon_intro zenon_Hd4. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.01 apply (zenon_L473_); trivial. % 0.82/1.01 apply (zenon_L32_); trivial. % 0.82/1.01 (* end of lemma zenon_L486_ *) % 0.82/1.01 assert (zenon_L487_ : ((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a428))/\((~(c0_1 (a428)))/\(~(c1_1 (a428))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp1))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a415))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (c2_1 (a409)) -> (~(c3_1 (a409))) -> (~(c0_1 (a409))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (c1_1 (a426)) -> (c0_1 (a426)) -> (~(c2_1 (a426))) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> (~(hskp1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H18f zenon_H1d7 zenon_H185 zenon_H118 zenon_Hdd zenon_H62 zenon_H197 zenon_H198 zenon_H199 zenon_H105 zenon_Hd1 zenon_H8f zenon_Ha1 zenon_H1ca zenon_H1c9 zenon_H1c8 zenon_H71 zenon_H6d zenon_H4a zenon_H6a zenon_H209 zenon_H202 zenon_H201 zenon_H200 zenon_Hfe zenon_H87 zenon_H1b zenon_H33 zenon_H49 zenon_H181 zenon_Hcf zenon_H2f zenon_H120 zenon_Hc7 zenon_Hca zenon_H18a. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Ha. zenon_intro zenon_H190. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_He1. zenon_intro zenon_H191. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_He2. zenon_intro zenon_He0. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H9f | zenon_intro zenon_H1d3 ]. % 0.82/1.01 apply (zenon_L485_); trivial. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_Ha. zenon_intro zenon_H1d4. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_Haa. zenon_intro zenon_H1d5. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_Ha8. zenon_intro zenon_Ha9. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/1.01 apply (zenon_L477_); trivial. % 0.82/1.01 apply (zenon_L140_); trivial. % 0.82/1.01 (* end of lemma zenon_L487_ *) % 0.82/1.01 assert (zenon_L488_ : ((ndr1_0)/\((c0_1 (a426))/\((c1_1 (a426))/\(~(c2_1 (a426)))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a415))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (~(hskp4)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> (~(c0_1 (a409))) -> (~(c3_1 (a409))) -> (c2_1 (a409)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/(hskp4))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp1))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c3_1 (a400))) -> (c1_1 (a400)) -> (c2_1 (a400)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a428))/\((~(c0_1 (a428)))/\(~(c1_1 (a428))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H218 zenon_H18b zenon_Hdd zenon_H62 zenon_H197 zenon_H198 zenon_H199 zenon_H105 zenon_H18a zenon_Hca zenon_Hc7 zenon_H120 zenon_H2f zenon_Hcf zenon_H181 zenon_H49 zenon_H33 zenon_H1b zenon_H87 zenon_Hfe zenon_H209 zenon_H6a zenon_H4a zenon_H6d zenon_H71 zenon_H1c8 zenon_H1c9 zenon_H1ca zenon_Ha1 zenon_H8f zenon_Hd1 zenon_H185 zenon_H118 zenon_H2c5 zenon_H2c6 zenon_H2c7 zenon_H79 zenon_H1d7. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Ha. zenon_intro zenon_H219. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H201. zenon_intro zenon_H21a. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H202. zenon_intro zenon_H200. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H76 | zenon_intro zenon_H18f ]. % 0.82/1.01 apply (zenon_L486_); trivial. % 0.82/1.01 apply (zenon_L487_); trivial. % 0.82/1.01 (* end of lemma zenon_L488_ *) % 0.82/1.01 assert (zenon_L489_ : ((ndr1_0)/\((c1_1 (a407))/\((c2_1 (a407))/\(c3_1 (a407))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp1))) -> (~(c3_1 (a400))) -> (c2_1 (a400)) -> (c1_1 (a400)) -> (~(hskp24)) -> (~(hskp19)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (~(hskp1)) -> False). % 0.82/1.01 do 0 intro. intros zenon_Hc9 zenon_Hca zenon_H2c5 zenon_H2c7 zenon_H2c6 zenon_H2c zenon_H2a zenon_H2f zenon_Hc7. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Ha. zenon_intro zenon_Hcb. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hcb). zenon_intro zenon_Hbb. zenon_intro zenon_Hcc. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hcc). zenon_intro zenon_Hb9. zenon_intro zenon_Hba. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H90 | zenon_intro zenon_Hcd ]. % 0.82/1.01 apply (zenon_L467_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hc8 ]. % 0.82/1.01 apply (zenon_L53_); trivial. % 0.82/1.01 exact (zenon_Hc7 zenon_Hc8). % 0.82/1.01 (* end of lemma zenon_L489_ *) % 0.82/1.01 assert (zenon_L490_ : ((~(hskp26))\/((ndr1_0)/\((c1_1 (a407))/\((c2_1 (a407))/\(c3_1 (a407)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp1))) -> (~(hskp1)) -> (~(c3_1 (a400))) -> (c2_1 (a400)) -> (c1_1 (a400)) -> (~(hskp19)) -> (~(hskp24)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (ndr1_0) -> (~(c0_1 (a428))) -> (~(c1_1 (a428))) -> (c2_1 (a428)) -> (~(hskp5)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp26)\/(hskp5))) -> False). % 0.82/1.01 do 0 intro. intros zenon_Hce zenon_Hca zenon_Hc7 zenon_H2c5 zenon_H2c7 zenon_H2c6 zenon_H2a zenon_H2c zenon_H2f zenon_Ha zenon_Ha8 zenon_Ha9 zenon_Haa zenon_H40 zenon_Hb3. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hc9 ]. % 0.82/1.01 apply (zenon_L50_); trivial. % 0.82/1.01 apply (zenon_L489_); trivial. % 0.82/1.01 (* end of lemma zenon_L490_ *) % 0.82/1.01 assert (zenon_L491_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp1))) -> (~(hskp24)) -> (~(hskp19)) -> (~(c3_1 (a400))) -> (c2_1 (a400)) -> (c1_1 (a400)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (c3_1 (a416)) -> (~(c1_1 (a416))) -> (~(c0_1 (a416))) -> (ndr1_0) -> (~(hskp1)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H187 zenon_Hca zenon_H2c zenon_H2a zenon_H2c5 zenon_H2c7 zenon_H2c6 zenon_H2f zenon_H138 zenon_H137 zenon_H136 zenon_Ha zenon_Hc7. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H135 | zenon_intro zenon_H188 ]. % 0.82/1.01 apply (zenon_L82_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H90 | zenon_intro zenon_H168 ]. % 0.82/1.01 apply (zenon_L467_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H90 | zenon_intro zenon_Hcd ]. % 0.82/1.01 apply (zenon_L467_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hc8 ]. % 0.82/1.01 apply (zenon_L134_); trivial. % 0.82/1.01 exact (zenon_Hc7 zenon_Hc8). % 0.82/1.01 (* end of lemma zenon_L491_ *) % 0.82/1.01 assert (zenon_L492_ : ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (c2_1 (a409)) -> (~(c3_1 (a409))) -> (~(c0_1 (a409))) -> (c3_1 (a477)) -> (forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))) -> (~(c2_1 (a477))) -> (ndr1_0) -> (~(hskp14)) -> False). % 0.82/1.01 do 0 intro. intros zenon_Ha1 zenon_H1ca zenon_H1c9 zenon_H1c8 zenon_H39 zenon_H168 zenon_H38 zenon_Ha zenon_H9f. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H90 | zenon_intro zenon_Ha2 ]. % 0.82/1.01 apply (zenon_L130_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H72 | zenon_intro zenon_Ha0 ]. % 0.82/1.01 apply (zenon_L170_); trivial. % 0.82/1.01 exact (zenon_H9f zenon_Ha0). % 0.82/1.01 (* end of lemma zenon_L492_ *) % 0.82/1.01 assert (zenon_L493_ : ((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))))) -> (c3_1 (a416)) -> (~(c1_1 (a416))) -> (~(c0_1 (a416))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (c2_1 (a409)) -> (~(c3_1 (a409))) -> (~(c0_1 (a409))) -> (~(hskp14)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H44 zenon_H187 zenon_H138 zenon_H137 zenon_H136 zenon_Ha1 zenon_H1ca zenon_H1c9 zenon_H1c8 zenon_H9f. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H46. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H39. zenon_intro zenon_H47. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H135 | zenon_intro zenon_H188 ]. % 0.82/1.01 apply (zenon_L82_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H90 | zenon_intro zenon_H168 ]. % 0.82/1.01 apply (zenon_L130_); trivial. % 0.82/1.01 apply (zenon_L492_); trivial. % 0.82/1.01 (* end of lemma zenon_L493_ *) % 0.82/1.01 assert (zenon_L494_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (c2_1 (a409)) -> (~(c3_1 (a409))) -> (~(c0_1 (a409))) -> (ndr1_0) -> (~(c0_1 (a416))) -> (~(c1_1 (a416))) -> (c3_1 (a416)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (~(hskp19)) -> (c1_1 (a400)) -> (c2_1 (a400)) -> (~(c3_1 (a400))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H49 zenon_H9f zenon_Ha1 zenon_H1ca zenon_H1c9 zenon_H1c8 zenon_Ha zenon_H136 zenon_H137 zenon_H138 zenon_H2f zenon_H2a zenon_H2c6 zenon_H2c7 zenon_H2c5 zenon_Hca zenon_Hc7 zenon_H187. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H2c | zenon_intro zenon_H44 ]. % 0.82/1.01 apply (zenon_L491_); trivial. % 0.82/1.01 apply (zenon_L493_); trivial. % 0.82/1.01 (* end of lemma zenon_L494_ *) % 0.82/1.01 assert (zenon_L495_ : ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp1))) -> (c2_1 (a409)) -> (~(c3_1 (a409))) -> (~(c0_1 (a409))) -> (c3_1 (a416)) -> (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10)))))) -> (~(c0_1 (a416))) -> (ndr1_0) -> (~(hskp1)) -> False). % 0.82/1.01 do 0 intro. intros zenon_Hca zenon_H1ca zenon_H1c9 zenon_H1c8 zenon_H138 zenon_H36 zenon_H136 zenon_Ha zenon_Hc7. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H90 | zenon_intro zenon_Hcd ]. % 0.82/1.01 apply (zenon_L130_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hc8 ]. % 0.82/1.01 apply (zenon_L92_); trivial. % 0.82/1.01 exact (zenon_Hc7 zenon_Hc8). % 0.82/1.01 (* end of lemma zenon_L495_ *) % 0.82/1.01 assert (zenon_L496_ : ((ndr1_0)/\((c2_1 (a428))/\((~(c0_1 (a428)))/\(~(c1_1 (a428)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/(hskp4))) -> (~(hskp1)) -> (~(c0_1 (a416))) -> (c3_1 (a416)) -> (~(c0_1 (a409))) -> (~(c3_1 (a409))) -> (c2_1 (a409)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp1))) -> (~(hskp4)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H1d3 zenon_Hd1 zenon_Hc7 zenon_H136 zenon_H138 zenon_H1c8 zenon_H1c9 zenon_H1ca zenon_Hca zenon_Hcf. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_Ha. zenon_intro zenon_H1d4. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_Haa. zenon_intro zenon_H1d5. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_Ha8. zenon_intro zenon_Ha9. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hd2 ]. % 0.82/1.01 apply (zenon_L48_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ]. % 0.82/1.01 apply (zenon_L495_); trivial. % 0.82/1.01 exact (zenon_Hcf zenon_Hd0). % 0.82/1.01 (* end of lemma zenon_L496_ *) % 0.82/1.01 assert (zenon_L497_ : ((ndr1_0)/\((c3_1 (a416))/\((~(c0_1 (a416)))/\(~(c1_1 (a416)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a428))/\((~(c0_1 (a428)))/\(~(c1_1 (a428))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (c2_1 (a409)) -> (~(c3_1 (a409))) -> (~(c0_1 (a409))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (c1_1 (a400)) -> (c2_1 (a400)) -> (~(c3_1 (a400))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (~(c1_1 (a415))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H1b6 zenon_H1d7 zenon_H49 zenon_Ha1 zenon_H1ca zenon_H1c9 zenon_H1c8 zenon_H2f zenon_H2c6 zenon_H2c7 zenon_H2c5 zenon_Hca zenon_Hc7 zenon_H187 zenon_H118 zenon_H199 zenon_H198 zenon_H197 zenon_Hcf zenon_Hd1 zenon_H18a. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_Ha. zenon_intro zenon_H1b7. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H138. zenon_intro zenon_H1b8. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H9f | zenon_intro zenon_H1d3 ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/1.01 apply (zenon_L494_); trivial. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Ha. zenon_intro zenon_H121. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Hd5. zenon_intro zenon_H122. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_Hd6. zenon_intro zenon_Hd4. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Hd2 ]. % 0.82/1.01 apply (zenon_L125_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_H36 | zenon_intro zenon_Hd0 ]. % 0.82/1.01 apply (zenon_L495_); trivial. % 0.82/1.01 exact (zenon_Hcf zenon_Hd0). % 0.82/1.01 apply (zenon_L496_); trivial. % 0.82/1.01 (* end of lemma zenon_L497_ *) % 0.82/1.01 assert (zenon_L498_ : ((ndr1_0)/\((c2_1 (a415))/\((c3_1 (a415))/\(~(c1_1 (a415)))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a416))/\((~(c0_1 (a416)))/\(~(c1_1 (a416))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a420)))/\((~(c1_1 (a420)))/\(~(c2_1 (a420))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp12)\/(hskp10))) -> (c2_1 (a400)) -> (c1_1 (a400)) -> (~(c3_1 (a400))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a428))/\((~(c0_1 (a428)))/\(~(c1_1 (a428))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp1))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/(hskp4))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (c2_1 (a409)) -> (~(c3_1 (a409))) -> (~(c0_1 (a409))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> (~(hskp1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp1))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a426))/\((c1_1 (a426))/\(~(c2_1 (a426))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/(hskp28))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((hskp26)\/(hskp5))) -> (~(hskp5)) -> ((~(hskp26))\/((ndr1_0)/\((c1_1 (a407))/\((c2_1 (a407))/\(c3_1 (a407)))))) -> ((hskp18)\/((hskp20)\/(hskp23))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((hskp2)\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a440))/\((~(c2_1 (a440)))/\(~(c3_1 (a440))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a418))/\((~(c0_1 (a418)))/\(~(c2_1 (a418))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H1c5 zenon_H1c4 zenon_H187 zenon_H18d zenon_H12d zenon_H2ce zenon_H2c7 zenon_H2c6 zenon_H2c5 zenon_H1d7 zenon_H79 zenon_H118 zenon_H185 zenon_Hd1 zenon_H8f zenon_Ha1 zenon_H1ca zenon_H1c9 zenon_H1c8 zenon_H71 zenon_H6d zenon_H4a zenon_H6a zenon_H209 zenon_Hfe zenon_H1b zenon_H33 zenon_H49 zenon_H181 zenon_Hcf zenon_H2f zenon_H120 zenon_Hc7 zenon_Hca zenon_H18a zenon_H105 zenon_Hdd zenon_H18b zenon_H217 zenon_H17b zenon_H16d zenon_Hb3 zenon_H40 zenon_Hce zenon_H7 zenon_H89 zenon_H8e zenon_H189. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c6. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H198. zenon_intro zenon_H1c7. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H199. zenon_intro zenon_H197. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.82/1.01 apply (zenon_L465_); trivial. % 0.82/1.01 apply (zenon_L488_); trivial. % 0.82/1.01 apply (zenon_L91_); trivial. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H195. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H161. zenon_intro zenon_H196. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H76 | zenon_intro zenon_H18f ]. % 0.82/1.01 apply (zenon_L37_); trivial. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Ha. zenon_intro zenon_H190. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_He1. zenon_intro zenon_H191. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_He2. zenon_intro zenon_He0. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H9f | zenon_intro zenon_H1d3 ]. % 0.82/1.01 apply (zenon_L137_); trivial. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_Ha. zenon_intro zenon_H1d4. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_Haa. zenon_intro zenon_H1d5. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_Ha8. zenon_intro zenon_Ha9. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H2c | zenon_intro zenon_H44 ]. % 0.82/1.01 apply (zenon_L490_); trivial. % 0.82/1.01 apply (zenon_L372_); trivial. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_Ha. zenon_intro zenon_H11b. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10c. zenon_intro zenon_H11c. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H11d. zenon_intro zenon_H10b. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H2c | zenon_intro zenon_H44 ]. % 0.82/1.01 apply (zenon_L490_); trivial. % 0.82/1.01 apply (zenon_L218_); trivial. % 0.82/1.01 apply (zenon_L140_); trivial. % 0.82/1.01 apply (zenon_L91_); trivial. % 0.82/1.01 apply (zenon_L497_); trivial. % 0.82/1.01 (* end of lemma zenon_L498_ *) % 0.82/1.01 assert (zenon_L499_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11))) -> (c3_1 (a408)) -> (c2_1 (a408)) -> (~(c0_1 (a408))) -> (c2_1 (a400)) -> (c1_1 (a400)) -> (~(c3_1 (a400))) -> (ndr1_0) -> (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17)))))) -> (~(hskp11)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H15c zenon_H1dc zenon_H1db zenon_H1da zenon_H2c7 zenon_H2c6 zenon_H2c5 zenon_Ha zenon_H90 zenon_H87. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_Hb8 | zenon_intro zenon_H15e ]. % 0.82/1.01 apply (zenon_L144_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hb | zenon_intro zenon_H88 ]. % 0.82/1.01 apply (zenon_L480_); trivial. % 0.82/1.01 exact (zenon_H87 zenon_H88). % 0.82/1.01 (* end of lemma zenon_L499_ *) % 0.82/1.01 assert (zenon_L500_ : ((ndr1_0)/\((c2_1 (a408))/\((c3_1 (a408))/\(~(c0_1 (a408)))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a420)))/\((~(c1_1 (a420)))/\(~(c2_1 (a420))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp11))) -> (c2_1 (a400)) -> (c1_1 (a400)) -> (~(c3_1 (a400))) -> (~(hskp1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp1))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H2a9 zenon_H18d zenon_H12d zenon_H6a zenon_H15c zenon_H2c7 zenon_H2c6 zenon_H2c5 zenon_Hc7 zenon_Hca. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_Ha. zenon_intro zenon_H2aa. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H2aa). zenon_intro zenon_H1db. zenon_intro zenon_H2ab. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H2ab). zenon_intro zenon_H1dc. zenon_intro zenon_H1da. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H90 | zenon_intro zenon_Hcd ]. % 0.82/1.01 apply (zenon_L499_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hc8 ]. % 0.82/1.01 apply (zenon_L144_); trivial. % 0.82/1.01 exact (zenon_Hc7 zenon_Hc8). % 0.82/1.01 apply (zenon_L91_); trivial. % 0.82/1.01 (* end of lemma zenon_L500_ *) % 0.82/1.01 assert (zenon_L501_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a418))/\((~(c0_1 (a418)))/\(~(c2_1 (a418))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a426))/\((c1_1 (a426))/\(~(c2_1 (a426))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a428))/\((~(c0_1 (a428)))/\(~(c1_1 (a428))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a440))/\((~(c2_1 (a440)))/\(~(c3_1 (a440))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((hskp2)\/(hskp11))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((hskp18)\/((hskp20)\/(hskp23))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp8)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((hskp8)\/(hskp9))) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16))) -> (~(hskp7)) -> (c3_1 (a404)) -> (c0_1 (a404)) -> (~(c2_1 (a404))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> (~(hskp2)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp7))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(hskp9)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp9))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434))))))) -> (ndr1_0) -> (~(c3_1 (a400))) -> (c1_1 (a400)) -> (c2_1 (a400)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp12)\/(hskp10))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a420)))/\((~(c1_1 (a420)))/\(~(c2_1 (a420))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H189 zenon_H217 zenon_H18b zenon_H1d7 zenon_Hdd zenon_H100 zenon_H105 zenon_H8e zenon_H89 zenon_Ha1 zenon_H7 zenon_H185 zenon_Hc7 zenon_H60 zenon_H64 zenon_H4e zenon_H4a zenon_H1f4 zenon_H1f3 zenon_H1f2 zenon_H8f zenon_H71 zenon_H6d zenon_H6a zenon_H209 zenon_Hfe zenon_H1b zenon_H33 zenon_H49 zenon_H187 zenon_H154 zenon_H13f zenon_H118 zenon_H62 zenon_H11a zenon_H2f zenon_H120 zenon_H79 zenon_H18a zenon_Ha6 zenon_Ha zenon_H2c5 zenon_H2c6 zenon_H2c7 zenon_H2ce zenon_H12d zenon_H18d. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.82/1.01 apply (zenon_L465_); trivial. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Ha. zenon_intro zenon_H219. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H201. zenon_intro zenon_H21a. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H202. zenon_intro zenon_H200. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H76 | zenon_intro zenon_H18f ]. % 0.82/1.01 apply (zenon_L179_); trivial. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Ha. zenon_intro zenon_H190. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_He1. zenon_intro zenon_H191. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_He2. zenon_intro zenon_He0. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H9f | zenon_intro zenon_H1d3 ]. % 0.82/1.01 apply (zenon_L475_); trivial. % 0.82/1.01 apply (zenon_L183_); trivial. % 0.82/1.01 apply (zenon_L91_); trivial. % 0.82/1.01 apply (zenon_L186_); trivial. % 0.82/1.01 (* end of lemma zenon_L501_ *) % 0.82/1.01 assert (zenon_L502_ : ((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c3_1 (a400))) -> (c1_1 (a400)) -> (c2_1 (a400)) -> (~(hskp20)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (~(c1_1 (a415))) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(hskp22)) -> (~(hskp11)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H2e zenon_H105 zenon_H2c5 zenon_H2c6 zenon_H2c7 zenon_H3 zenon_H1b zenon_H199 zenon_H198 zenon_H197 zenon_Hfe zenon_Hfc zenon_H87. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_Ha. zenon_intro zenon_H30. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H21. zenon_intro zenon_H31. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H22. zenon_intro zenon_H23. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdf | zenon_intro zenon_H106 ]. % 0.82/1.01 apply (zenon_L472_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hea | zenon_intro zenon_H101 ]. % 0.82/1.01 apply (zenon_L113_); trivial. % 0.82/1.01 apply (zenon_L69_); trivial. % 0.82/1.01 (* end of lemma zenon_L502_ *) % 0.82/1.01 assert (zenon_L503_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (c1_1 (a426)) -> (c0_1 (a426)) -> (~(c2_1 (a426))) -> (ndr1_0) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (~(hskp20)) -> (c2_1 (a400)) -> (c1_1 (a400)) -> (~(c3_1 (a400))) -> (~(c1_1 (a415))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(hskp22)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H71 zenon_H6d zenon_H4a zenon_H6a zenon_H209 zenon_H202 zenon_H201 zenon_H200 zenon_Ha zenon_H1b zenon_H3 zenon_H2c7 zenon_H2c6 zenon_H2c5 zenon_H197 zenon_H198 zenon_H199 zenon_Hfe zenon_H87 zenon_Hfc zenon_H105 zenon_H33. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H1c | zenon_intro zenon_H2e ]. % 0.82/1.01 apply (zenon_L162_); trivial. % 0.82/1.01 apply (zenon_L502_); trivial. % 0.82/1.01 apply (zenon_L28_); trivial. % 0.82/1.01 (* end of lemma zenon_L503_ *) % 0.82/1.01 assert (zenon_L504_ : ((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460)))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp9))) -> (c1_1 (a434)) -> (~(c3_1 (a434))) -> (~(c0_1 (a434))) -> (~(hskp20)) -> (~(c1_1 (a451))) -> (c0_1 (a451)) -> (c2_1 (a451)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp20))) -> (~(hskp9)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H6c zenon_H11a zenon_H9a zenon_H92 zenon_H91 zenon_H3 zenon_H10b zenon_H10c zenon_H11d zenon_H1b4 zenon_H62. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_Ha. zenon_intro zenon_H6e. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_Hf. zenon_intro zenon_H6f. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H107 | zenon_intro zenon_H11e ]. % 0.82/1.01 apply (zenon_L71_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H114 | zenon_intro zenon_H63 ]. % 0.82/1.01 apply (zenon_L229_); trivial. % 0.82/1.01 exact (zenon_H62 zenon_H63). % 0.82/1.01 (* end of lemma zenon_L504_ *) % 0.82/1.01 assert (zenon_L505_ : ((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> (~(hskp20)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp20))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (~(hskp19)) -> (~(c2_1 (a426))) -> (c0_1 (a426)) -> (c1_1 (a426)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c1_1 (a434)) -> (~(c3_1 (a434))) -> (~(c0_1 (a434))) -> (~(c0_1 (a409))) -> (~(c3_1 (a409))) -> (c2_1 (a409)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H119 zenon_H71 zenon_H3 zenon_H1b4 zenon_H33 zenon_H2f zenon_H2a zenon_H200 zenon_H201 zenon_H202 zenon_H209 zenon_H11a zenon_H62 zenon_H118 zenon_H9a zenon_H92 zenon_H91 zenon_H1c8 zenon_H1c9 zenon_H1ca zenon_H187 zenon_H49. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_Ha. zenon_intro zenon_H11b. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10c. zenon_intro zenon_H11c. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H11d. zenon_intro zenon_H10b. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.82/1.01 apply (zenon_L194_); trivial. % 0.82/1.01 apply (zenon_L504_); trivial. % 0.82/1.01 (* end of lemma zenon_L505_ *) % 0.82/1.01 assert (zenon_L506_ : ((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> (~(hskp13)) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> (~(hskp7)) -> (~(hskp2)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (c1_1 (a426)) -> (c0_1 (a426)) -> (~(c2_1 (a426))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (c2_1 (a400)) -> (c1_1 (a400)) -> (~(c3_1 (a400))) -> (~(c1_1 (a415))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> (~(c0_1 (a434))) -> (~(c3_1 (a434))) -> (c1_1 (a434)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(hskp9)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp9))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H11f zenon_H8f zenon_H79 zenon_H76 zenon_H71 zenon_H6d zenon_H4a zenon_H6a zenon_H209 zenon_H202 zenon_H201 zenon_H200 zenon_H1b zenon_H2c7 zenon_H2c6 zenon_H2c5 zenon_H197 zenon_H198 zenon_H199 zenon_Hfe zenon_H87 zenon_H105 zenon_H33 zenon_H91 zenon_H92 zenon_H9a zenon_H118 zenon_H62 zenon_H11a zenon_H120. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Ha. zenon_intro zenon_H121. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Hd5. zenon_intro zenon_H122. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_Hd6. zenon_intro zenon_Hd4. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.82/1.01 apply (zenon_L503_); trivial. % 0.82/1.01 apply (zenon_L75_); trivial. % 0.82/1.01 apply (zenon_L32_); trivial. % 0.82/1.01 (* end of lemma zenon_L506_ *) % 0.82/1.01 assert (zenon_L507_ : ((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c0_1 (a409))) -> (~(c3_1 (a409))) -> (c2_1 (a409)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (~(c1_1 (a415))) -> (~(c3_1 (a400))) -> (c1_1 (a400)) -> (c2_1 (a400)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (~(c2_1 (a426))) -> (c0_1 (a426)) -> (c1_1 (a426)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (~(hskp2)) -> (~(hskp7)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> (~(hskp13)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_Ha3 zenon_H18a zenon_H120 zenon_H1b4 zenon_H2f zenon_H11a zenon_H62 zenon_H118 zenon_H1c8 zenon_H1c9 zenon_H1ca zenon_H187 zenon_H49 zenon_H33 zenon_H105 zenon_H87 zenon_Hfe zenon_H199 zenon_H198 zenon_H197 zenon_H2c5 zenon_H2c6 zenon_H2c7 zenon_H1b zenon_H200 zenon_H201 zenon_H202 zenon_H209 zenon_H6a zenon_H4a zenon_H6d zenon_H71 zenon_H76 zenon_H79 zenon_H8f. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_Ha. zenon_intro zenon_Ha4. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H9a. zenon_intro zenon_Ha5. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H91. zenon_intro zenon_H92. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.82/1.01 apply (zenon_L503_); trivial. % 0.82/1.01 apply (zenon_L505_); trivial. % 0.82/1.01 apply (zenon_L32_); trivial. % 0.82/1.01 apply (zenon_L506_); trivial. % 0.82/1.01 (* end of lemma zenon_L507_ *) % 0.82/1.01 assert (zenon_L508_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp20))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c0_1 X38)\/((c3_1 X38)\/(~(c1_1 X38))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c0_1 (a409))) -> (~(c3_1 (a409))) -> (c2_1 (a409)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(hskp11)) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (~(c1_1 (a415))) -> (~(c3_1 (a400))) -> (c1_1 (a400)) -> (c2_1 (a400)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (~(c2_1 (a426))) -> (c0_1 (a426)) -> (c1_1 (a426)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (~(hskp2)) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((hskp2)\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> (~(hskp13)) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> (ndr1_0) -> (~(c2_1 (a404))) -> (c0_1 (a404)) -> (c3_1 (a404)) -> (~(hskp7)) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16))) -> False). % 0.82/1.01 do 0 intro. intros zenon_Ha6 zenon_H18a zenon_H120 zenon_H1b4 zenon_H2f zenon_H11a zenon_H62 zenon_H118 zenon_H1c8 zenon_H1c9 zenon_H1ca zenon_H187 zenon_H49 zenon_H33 zenon_H105 zenon_H87 zenon_Hfe zenon_H199 zenon_H198 zenon_H197 zenon_H2c5 zenon_H2c6 zenon_H2c7 zenon_H1b zenon_H200 zenon_H201 zenon_H202 zenon_H209 zenon_H6a zenon_H6d zenon_H71 zenon_H76 zenon_H79 zenon_H8f zenon_Ha zenon_H1f2 zenon_H1f3 zenon_H1f4 zenon_H4a zenon_H4e. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H4c | zenon_intro zenon_Ha3 ]. % 0.82/1.01 apply (zenon_L160_); trivial. % 0.82/1.01 apply (zenon_L507_); trivial. % 0.82/1.01 (* end of lemma zenon_L508_ *) % 0.82/1.01 assert (zenon_L509_ : ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (c1_1 (a426)) -> (c0_1 (a426)) -> (~(c2_1 (a426))) -> (ndr1_0) -> (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17)))))) -> (~(c3_1 (a400))) -> (c2_1 (a400)) -> (c1_1 (a400)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H246 zenon_H232 zenon_H233 zenon_H234 zenon_H202 zenon_H201 zenon_H200 zenon_Ha zenon_H90 zenon_H2c5 zenon_H2c7 zenon_H2c6. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H240 | zenon_intro zenon_H247 ]. % 0.82/1.01 apply (zenon_L249_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1ff | zenon_intro zenon_H20 ]. % 0.82/1.01 apply (zenon_L161_); trivial. % 0.82/1.01 apply (zenon_L466_); trivial. % 0.82/1.01 (* end of lemma zenon_L509_ *) % 0.82/1.01 assert (zenon_L510_ : ((ndr1_0)/\((c0_1 (a426))/\((c1_1 (a426))/\(~(c2_1 (a426)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(hskp9))) -> (c1_1 (a400)) -> (c2_1 (a400)) -> (~(c3_1 (a400))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (~(hskp9)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H218 zenon_H244 zenon_H2c6 zenon_H2c7 zenon_H2c5 zenon_H246 zenon_H232 zenon_H233 zenon_H234 zenon_H62. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Ha. zenon_intro zenon_H219. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H201. zenon_intro zenon_H21a. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H202. zenon_intro zenon_H200. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H90 | zenon_intro zenon_H245 ]. % 0.82/1.01 apply (zenon_L509_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H240 | zenon_intro zenon_H63 ]. % 0.82/1.01 apply (zenon_L249_); trivial. % 0.82/1.01 exact (zenon_H62 zenon_H63). % 0.82/1.01 (* end of lemma zenon_L510_ *) % 0.82/1.01 assert (zenon_L511_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a426))/\((c1_1 (a426))/\(~(c2_1 (a426))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (ndr1_0) -> (~(c3_1 (a400))) -> (c1_1 (a400)) -> (c2_1 (a400)) -> (~(hskp10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp12)\/(hskp10))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H217 zenon_H244 zenon_H62 zenon_H234 zenon_H233 zenon_H232 zenon_H246 zenon_Ha zenon_H2c5 zenon_H2c6 zenon_H2c7 zenon_H152 zenon_H2ce. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.82/1.01 apply (zenon_L465_); trivial. % 0.82/1.01 apply (zenon_L510_); trivial. % 0.82/1.01 (* end of lemma zenon_L511_ *) % 0.82/1.01 assert (zenon_L512_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a418))/\((~(c0_1 (a418)))/\(~(c2_1 (a418))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((hskp8)\/(hskp9))) -> (~(hskp8)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp12)\/(hskp10))) -> (c2_1 (a400)) -> (c1_1 (a400)) -> (~(c3_1 (a400))) -> (ndr1_0) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(hskp9))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a426))/\((c1_1 (a426))/\(~(c2_1 (a426))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H189 zenon_H64 zenon_H60 zenon_H2ce zenon_H2c7 zenon_H2c6 zenon_H2c5 zenon_Ha zenon_H246 zenon_H232 zenon_H233 zenon_H234 zenon_H62 zenon_H244 zenon_H217. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ]. % 0.82/1.01 apply (zenon_L511_); trivial. % 0.82/1.01 apply (zenon_L186_); trivial. % 0.82/1.01 (* end of lemma zenon_L512_ *) % 0.82/1.01 assert (zenon_L513_ : (forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))) -> (ndr1_0) -> (forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50)))))) -> (c1_1 (a400)) -> (c2_1 (a400)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H20 zenon_Ha zenon_Hdf zenon_H2c6 zenon_H2c7. % 0.82/1.01 generalize (zenon_H20 (a400)). zenon_intro zenon_H2d0. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_H2d0); [ zenon_intro zenon_H9 | zenon_intro zenon_H2d1 ]. % 0.82/1.01 exact (zenon_H9 zenon_Ha). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H2d1); [ zenon_intro zenon_H2d2 | zenon_intro zenon_H2ca ]. % 0.82/1.01 generalize (zenon_Hdf (a400)). zenon_intro zenon_H2da. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_H2da); [ zenon_intro zenon_H9 | zenon_intro zenon_H2db ]. % 0.82/1.01 exact (zenon_H9 zenon_Ha). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H2db); [ zenon_intro zenon_H2d6 | zenon_intro zenon_H2ca ]. % 0.82/1.01 exact (zenon_H2d2 zenon_H2d6). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H2cd | zenon_intro zenon_H2cc ]. % 0.82/1.01 exact (zenon_H2cd zenon_H2c6). % 0.82/1.01 exact (zenon_H2cc zenon_H2c7). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H2ca); [ zenon_intro zenon_H2cd | zenon_intro zenon_H2cc ]. % 0.82/1.01 exact (zenon_H2cd zenon_H2c6). % 0.82/1.01 exact (zenon_H2cc zenon_H2c7). % 0.82/1.01 (* end of lemma zenon_L513_ *) % 0.82/1.01 assert (zenon_L514_ : ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (c1_1 (a426)) -> (c0_1 (a426)) -> (~(c2_1 (a426))) -> (ndr1_0) -> (forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50)))))) -> (c1_1 (a400)) -> (c2_1 (a400)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H246 zenon_H232 zenon_H233 zenon_H234 zenon_H202 zenon_H201 zenon_H200 zenon_Ha zenon_Hdf zenon_H2c6 zenon_H2c7. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H240 | zenon_intro zenon_H247 ]. % 0.82/1.02 apply (zenon_L249_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1ff | zenon_intro zenon_H20 ]. % 0.82/1.02 apply (zenon_L161_); trivial. % 0.82/1.02 apply (zenon_L513_); trivial. % 0.82/1.02 (* end of lemma zenon_L514_ *) % 0.82/1.02 assert (zenon_L515_ : ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((hskp15)\/(hskp6))) -> (c2_1 (a400)) -> (c1_1 (a400)) -> (ndr1_0) -> (~(c2_1 (a426))) -> (c0_1 (a426)) -> (c1_1 (a426)) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (~(hskp15)) -> (~(hskp6)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H133 zenon_H2c7 zenon_H2c6 zenon_Ha zenon_H200 zenon_H201 zenon_H202 zenon_H234 zenon_H233 zenon_H232 zenon_H246 zenon_H12f zenon_H131. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_Hdf | zenon_intro zenon_H134 ]. % 0.82/1.02 apply (zenon_L514_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H130 | zenon_intro zenon_H132 ]. % 0.82/1.02 exact (zenon_H12f zenon_H130). % 0.82/1.02 exact (zenon_H131 zenon_H132). % 0.82/1.02 (* end of lemma zenon_L515_ *) % 0.82/1.02 assert (zenon_L516_ : ((ndr1_0)/\((c0_1 (a430))/\((c2_1 (a430))/\(~(c3_1 (a430)))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a400)) -> (c1_1 (a400)) -> (~(c2_1 (a426))) -> (c0_1 (a426)) -> (c1_1 (a426)) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (~(c1_1 (a415))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H192 zenon_H105 zenon_H2c7 zenon_H2c6 zenon_H200 zenon_H201 zenon_H202 zenon_H234 zenon_H233 zenon_H232 zenon_H246 zenon_H199 zenon_H198 zenon_H197. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_Ha. zenon_intro zenon_H193. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H14a. zenon_intro zenon_H194. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H14b. zenon_intro zenon_H149. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdf | zenon_intro zenon_H106 ]. % 0.82/1.02 apply (zenon_L514_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hea | zenon_intro zenon_H101 ]. % 0.82/1.02 apply (zenon_L113_); trivial. % 0.82/1.02 apply (zenon_L87_); trivial. % 0.82/1.02 (* end of lemma zenon_L516_ *) % 0.82/1.02 assert (zenon_L517_ : ((ndr1_0)/\((c0_1 (a426))/\((c1_1 (a426))/\(~(c2_1 (a426)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a430))/\((c2_1 (a430))/\(~(c3_1 (a430))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (~(c1_1 (a415))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c2_1 (a400)) -> (c1_1 (a400)) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (~(hskp6)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((hskp15)\/(hskp6))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H218 zenon_H18c zenon_H105 zenon_H199 zenon_H198 zenon_H197 zenon_H246 zenon_H2c7 zenon_H2c6 zenon_H232 zenon_H233 zenon_H234 zenon_H131 zenon_H133. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Ha. zenon_intro zenon_H219. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H201. zenon_intro zenon_H21a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H202. zenon_intro zenon_H200. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H12f | zenon_intro zenon_H192 ]. % 0.82/1.02 apply (zenon_L515_); trivial. % 0.82/1.02 apply (zenon_L516_); trivial. % 0.82/1.02 (* end of lemma zenon_L517_ *) % 0.82/1.02 assert (zenon_L518_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a426))/\((c1_1 (a426))/\(~(c2_1 (a426))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a430))/\((c2_1 (a430))/\(~(c3_1 (a430))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (~(c1_1 (a415))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (~(hskp6)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((hskp15)\/(hskp6))) -> (ndr1_0) -> (~(c3_1 (a400))) -> (c1_1 (a400)) -> (c2_1 (a400)) -> (~(hskp10)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp12)\/(hskp10))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H217 zenon_H18c zenon_H105 zenon_H199 zenon_H198 zenon_H197 zenon_H246 zenon_H232 zenon_H233 zenon_H234 zenon_H131 zenon_H133 zenon_Ha zenon_H2c5 zenon_H2c6 zenon_H2c7 zenon_H152 zenon_H2ce. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.82/1.02 apply (zenon_L465_); trivial. % 0.82/1.02 apply (zenon_L517_); trivial. % 0.82/1.02 (* end of lemma zenon_L518_ *) % 0.82/1.02 assert (zenon_L519_ : ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (c2_1 (a400)) -> (c1_1 (a400)) -> (forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50)))))) -> (ndr1_0) -> (~(hskp19)) -> (~(hskp24)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H2f zenon_H2c7 zenon_H2c6 zenon_Hdf zenon_Ha zenon_H2a zenon_H2c. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H20 | zenon_intro zenon_H32 ]. % 0.82/1.02 apply (zenon_L513_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H2b | zenon_intro zenon_H2d ]. % 0.82/1.02 exact (zenon_H2a zenon_H2b). % 0.82/1.02 exact (zenon_H2c zenon_H2d). % 0.82/1.02 (* end of lemma zenon_L519_ *) % 0.82/1.02 assert (zenon_L520_ : ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((hskp15)\/(hskp6))) -> (~(hskp24)) -> (~(hskp19)) -> (ndr1_0) -> (c1_1 (a400)) -> (c2_1 (a400)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (~(hskp15)) -> (~(hskp6)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H133 zenon_H2c zenon_H2a zenon_Ha zenon_H2c6 zenon_H2c7 zenon_H2f zenon_H12f zenon_H131. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_Hdf | zenon_intro zenon_H134 ]. % 0.82/1.02 apply (zenon_L519_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H130 | zenon_intro zenon_H132 ]. % 0.82/1.02 exact (zenon_H12f zenon_H130). % 0.82/1.02 exact (zenon_H131 zenon_H132). % 0.82/1.02 (* end of lemma zenon_L520_ *) % 0.82/1.02 assert (zenon_L521_ : ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> (~(hskp11)) -> (~(hskp22)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/(hskp28))) -> (~(c1_1 (a415))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c1_1 (a418)) -> (~(c2_1 (a418))) -> (~(c0_1 (a418))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/(hskp4))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (~(hskp19)) -> (c2_1 (a400)) -> (c1_1 (a400)) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp6)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((hskp15)\/(hskp6))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H49 zenon_H17b zenon_Hfe zenon_H87 zenon_Hfc zenon_H16d zenon_H197 zenon_H198 zenon_H199 zenon_H118 zenon_H161 zenon_H160 zenon_H15f zenon_Hcf zenon_Hd1 zenon_H2f zenon_H2a zenon_H2c7 zenon_H2c6 zenon_Ha zenon_H12f zenon_H131 zenon_H133. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H2c | zenon_intro zenon_H44 ]. % 0.82/1.02 apply (zenon_L520_); trivial. % 0.82/1.02 apply (zenon_L372_); trivial. % 0.82/1.02 (* end of lemma zenon_L521_ *) % 0.82/1.02 assert (zenon_L522_ : ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((hskp15)\/(hskp6))) -> (c2_1 (a400)) -> (c1_1 (a400)) -> (~(c3_1 (a400))) -> (forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp6)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H133 zenon_H2c7 zenon_H2c6 zenon_H2c5 zenon_Hb zenon_Ha zenon_H12f zenon_H131. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_Hdf | zenon_intro zenon_H134 ]. % 0.82/1.02 apply (zenon_L471_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H130 | zenon_intro zenon_H132 ]. % 0.82/1.02 exact (zenon_H12f zenon_H130). % 0.82/1.02 exact (zenon_H131 zenon_H132). % 0.82/1.02 (* end of lemma zenon_L522_ *) % 0.82/1.02 assert (zenon_L523_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp4))) -> (c3_1 (a415)) -> (~(c1_1 (a415))) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (~(hskp6)) -> (~(hskp15)) -> (ndr1_0) -> (~(c3_1 (a400))) -> (c1_1 (a400)) -> (c2_1 (a400)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((hskp15)\/(hskp6))) -> (~(hskp4)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H28e zenon_H199 zenon_H197 zenon_H10a zenon_H131 zenon_H12f zenon_Ha zenon_H2c5 zenon_H2c6 zenon_H2c7 zenon_H133 zenon_Hcf. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H135 | zenon_intro zenon_H28f ]. % 0.82/1.02 apply (zenon_L366_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd0 ]. % 0.82/1.02 apply (zenon_L522_); trivial. % 0.82/1.02 exact (zenon_Hcf zenon_Hd0). % 0.82/1.02 (* end of lemma zenon_L523_ *) % 0.82/1.02 assert (zenon_L524_ : ((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a415)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp4))) -> (c3_1 (a415)) -> (~(c1_1 (a415))) -> (~(hskp6)) -> (~(hskp15)) -> (~(c3_1 (a400))) -> (c1_1 (a400)) -> (c2_1 (a400)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((hskp15)\/(hskp6))) -> (~(hskp4)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H11f zenon_H24e zenon_H198 zenon_H118 zenon_H232 zenon_H233 zenon_H234 zenon_H28e zenon_H199 zenon_H197 zenon_H131 zenon_H12f zenon_H2c5 zenon_H2c6 zenon_H2c7 zenon_H133 zenon_Hcf. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Ha. zenon_intro zenon_H121. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Hd5. zenon_intro zenon_H122. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_Hd6. zenon_intro zenon_Hd4. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H24f ]. % 0.82/1.02 apply (zenon_L125_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H240 | zenon_intro zenon_H10a ]. % 0.82/1.02 apply (zenon_L249_); trivial. % 0.82/1.02 apply (zenon_L523_); trivial. % 0.82/1.02 (* end of lemma zenon_L524_ *) % 0.82/1.02 assert (zenon_L525_ : ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(hskp24)) -> (~(hskp19)) -> (c1_1 (a400)) -> (c2_1 (a400)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (~(c1_1 (a415))) -> (ndr1_0) -> (~(c3_1 (a430))) -> (c0_1 (a430)) -> (c2_1 (a430)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H105 zenon_H2c zenon_H2a zenon_H2c6 zenon_H2c7 zenon_H2f zenon_H199 zenon_H198 zenon_H197 zenon_Ha zenon_H149 zenon_H14a zenon_H14b. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdf | zenon_intro zenon_H106 ]. % 0.82/1.02 apply (zenon_L519_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hea | zenon_intro zenon_H101 ]. % 0.82/1.02 apply (zenon_L113_); trivial. % 0.82/1.02 apply (zenon_L87_); trivial. % 0.82/1.02 (* end of lemma zenon_L525_ *) % 0.82/1.02 assert (zenon_L526_ : ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a400)) -> (c1_1 (a400)) -> (~(c3_1 (a400))) -> (forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X)))))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (~(c1_1 (a415))) -> (ndr1_0) -> (~(c3_1 (a430))) -> (c0_1 (a430)) -> (c2_1 (a430)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H105 zenon_H2c7 zenon_H2c6 zenon_H2c5 zenon_Hb zenon_H199 zenon_H198 zenon_H197 zenon_Ha zenon_H149 zenon_H14a zenon_H14b. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdf | zenon_intro zenon_H106 ]. % 0.82/1.02 apply (zenon_L471_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hea | zenon_intro zenon_H101 ]. % 0.82/1.02 apply (zenon_L113_); trivial. % 0.82/1.02 apply (zenon_L87_); trivial. % 0.82/1.02 (* end of lemma zenon_L526_ *) % 0.82/1.02 assert (zenon_L527_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp4))) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (c2_1 (a430)) -> (c0_1 (a430)) -> (~(c3_1 (a430))) -> (ndr1_0) -> (~(c1_1 (a415))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> (~(c3_1 (a400))) -> (c1_1 (a400)) -> (c2_1 (a400)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(hskp4)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H28e zenon_H10a zenon_H14b zenon_H14a zenon_H149 zenon_Ha zenon_H197 zenon_H198 zenon_H199 zenon_H2c5 zenon_H2c6 zenon_H2c7 zenon_H105 zenon_Hcf. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H135 | zenon_intro zenon_H28f ]. % 0.82/1.02 apply (zenon_L366_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd0 ]. % 0.82/1.02 apply (zenon_L526_); trivial. % 0.82/1.02 exact (zenon_Hcf zenon_Hd0). % 0.82/1.02 (* end of lemma zenon_L527_ *) % 0.82/1.02 assert (zenon_L528_ : ((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp4))) -> (c2_1 (a430)) -> (c0_1 (a430)) -> (~(c3_1 (a430))) -> (~(c1_1 (a415))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> (~(c3_1 (a400))) -> (c1_1 (a400)) -> (c2_1 (a400)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(hskp4)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H11f zenon_H24e zenon_H118 zenon_H232 zenon_H233 zenon_H234 zenon_H28e zenon_H14b zenon_H14a zenon_H149 zenon_H197 zenon_H198 zenon_H199 zenon_H2c5 zenon_H2c6 zenon_H2c7 zenon_H105 zenon_Hcf. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Ha. zenon_intro zenon_H121. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Hd5. zenon_intro zenon_H122. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_Hd6. zenon_intro zenon_Hd4. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H24f ]. % 0.82/1.02 apply (zenon_L125_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H240 | zenon_intro zenon_H10a ]. % 0.82/1.02 apply (zenon_L249_); trivial. % 0.82/1.02 apply (zenon_L527_); trivial. % 0.82/1.02 (* end of lemma zenon_L528_ *) % 0.82/1.02 assert (zenon_L529_ : ((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c2_1 (a420))) -> (~(c1_1 (a420))) -> (~(c0_1 (a420))) -> (~(hskp6)) -> (~(hskp15)) -> (~(c3_1 (a400))) -> (c1_1 (a400)) -> (c2_1 (a400)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((hskp15)\/(hskp6))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H178 zenon_H258 zenon_H126 zenon_H125 zenon_H124 zenon_H131 zenon_H12f zenon_H2c5 zenon_H2c6 zenon_H2c7 zenon_H133. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_Ha. zenon_intro zenon_H179. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H16f. zenon_intro zenon_H17a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H123 | zenon_intro zenon_H259 ]. % 0.82/1.02 apply (zenon_L77_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_Hb | zenon_intro zenon_Hf3 ]. % 0.82/1.02 apply (zenon_L522_); trivial. % 0.82/1.02 apply (zenon_L103_); trivial. % 0.82/1.02 (* end of lemma zenon_L529_ *) % 0.82/1.02 assert (zenon_L530_ : ((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a400))) -> (c1_1 (a400)) -> (c2_1 (a400)) -> (~(hskp15)) -> (~(hskp6)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((hskp15)\/(hskp6))) -> (~(c2_1 (a420))) -> (~(c1_1 (a420))) -> (~(c0_1 (a420))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/(hskp28))) -> (~(c1_1 (a415))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c1_1 (a418)) -> (~(c2_1 (a418))) -> (~(c0_1 (a418))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/(hskp4))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H44 zenon_H17b zenon_H258 zenon_H2c5 zenon_H2c6 zenon_H2c7 zenon_H12f zenon_H131 zenon_H133 zenon_H126 zenon_H125 zenon_H124 zenon_H16d zenon_H197 zenon_H198 zenon_H199 zenon_H118 zenon_H161 zenon_H160 zenon_H15f zenon_Hcf zenon_Hd1. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H46. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H39. zenon_intro zenon_H47. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H16b | zenon_intro zenon_H178 ]. % 0.82/1.02 apply (zenon_L371_); trivial. % 0.82/1.02 apply (zenon_L529_); trivial. % 0.82/1.02 (* end of lemma zenon_L530_ *) % 0.82/1.02 assert (zenon_L531_ : ((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c2_1 (a420))) -> (~(c1_1 (a420))) -> (~(c0_1 (a420))) -> (c2_1 (a430)) -> (c0_1 (a430)) -> (~(c3_1 (a430))) -> (~(c1_1 (a415))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> (~(c3_1 (a400))) -> (c1_1 (a400)) -> (c2_1 (a400)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H178 zenon_H258 zenon_H126 zenon_H125 zenon_H124 zenon_H14b zenon_H14a zenon_H149 zenon_H197 zenon_H198 zenon_H199 zenon_H2c5 zenon_H2c6 zenon_H2c7 zenon_H105. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_Ha. zenon_intro zenon_H179. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H16f. zenon_intro zenon_H17a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H123 | zenon_intro zenon_H259 ]. % 0.82/1.02 apply (zenon_L77_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_Hb | zenon_intro zenon_Hf3 ]. % 0.82/1.02 apply (zenon_L526_); trivial. % 0.82/1.02 apply (zenon_L103_); trivial. % 0.82/1.02 (* end of lemma zenon_L531_ *) % 0.82/1.02 assert (zenon_L532_ : ((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> (~(c3_1 (a400))) -> (c1_1 (a400)) -> (c2_1 (a400)) -> (~(c3_1 (a430))) -> (c0_1 (a430)) -> (c2_1 (a430)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c2_1 (a420))) -> (~(c1_1 (a420))) -> (~(c0_1 (a420))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/(hskp28))) -> (~(c1_1 (a415))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c1_1 (a418)) -> (~(c2_1 (a418))) -> (~(c0_1 (a418))) -> (~(hskp4)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/(hskp4))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H44 zenon_H17b zenon_H258 zenon_H2c5 zenon_H2c6 zenon_H2c7 zenon_H149 zenon_H14a zenon_H14b zenon_H105 zenon_H126 zenon_H125 zenon_H124 zenon_H16d zenon_H197 zenon_H198 zenon_H199 zenon_H118 zenon_H161 zenon_H160 zenon_H15f zenon_Hcf zenon_Hd1. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H46. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H39. zenon_intro zenon_H47. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H16b | zenon_intro zenon_H178 ]. % 0.82/1.02 apply (zenon_L371_); trivial. % 0.82/1.02 apply (zenon_L531_); trivial. % 0.82/1.02 (* end of lemma zenon_L532_ *) % 0.82/1.02 assert (zenon_L533_ : ((ndr1_0)/\((c0_1 (a430))/\((c2_1 (a430))/\(~(c3_1 (a430)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp4))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (~(c1_1 (a415))) -> (c1_1 (a400)) -> (c2_1 (a400)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a418))) -> (~(c2_1 (a418))) -> (c1_1 (a418)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/(hskp28))) -> (~(c0_1 (a420))) -> (~(c1_1 (a420))) -> (~(c2_1 (a420))) -> (~(c3_1 (a400))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H192 zenon_H18a zenon_H24e zenon_H28e zenon_H232 zenon_H233 zenon_H234 zenon_H105 zenon_H199 zenon_H198 zenon_H197 zenon_H2c6 zenon_H2c7 zenon_H2f zenon_Hd1 zenon_Hcf zenon_H15f zenon_H160 zenon_H161 zenon_H118 zenon_H16d zenon_H124 zenon_H125 zenon_H126 zenon_H2c5 zenon_H258 zenon_H17b zenon_H49. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_Ha. zenon_intro zenon_H193. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H14a. zenon_intro zenon_H194. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H14b. zenon_intro zenon_H149. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H2c | zenon_intro zenon_H44 ]. % 0.82/1.02 apply (zenon_L525_); trivial. % 0.82/1.02 apply (zenon_L532_); trivial. % 0.82/1.02 apply (zenon_L528_); trivial. % 0.82/1.02 (* end of lemma zenon_L533_ *) % 0.82/1.02 assert (zenon_L534_ : ((~(hskp6))\/((ndr1_0)/\((c2_1 (a409))/\((~(c0_1 (a409)))/\(~(c3_1 (a409))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))))) -> (~(hskp1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c2_1 V))\/(~(c3_1 V))))))\/(hskp1))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a416))/\((~(c0_1 (a416)))/\(~(c1_1 (a416))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp6))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp4))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a426))/\((c1_1 (a426))/\(~(c2_1 (a426))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(hskp9))) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (ndr1_0) -> (~(c3_1 (a400))) -> (c1_1 (a400)) -> (c2_1 (a400)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp12)\/(hskp10))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((hskp8)\/(hskp9))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a418))/\((~(c0_1 (a418)))/\(~(c2_1 (a418))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a430))/\((c2_1 (a430))/\(~(c3_1 (a430))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((hskp15)\/(hskp6))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/(hskp4))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/(hskp4))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/((hskp22)\/(hskp11))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414)))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c0_1 (a420)))/\((~(c1_1 (a420)))/\(~(c2_1 (a420))))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a415))/\((c3_1 (a415))/\(~(c1_1 (a415))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H2dc zenon_H187 zenon_Hc7 zenon_Hca zenon_H1c4 zenon_H21b zenon_Hcf zenon_H28e zenon_H217 zenon_H244 zenon_H234 zenon_H233 zenon_H232 zenon_H246 zenon_Ha zenon_H2c5 zenon_H2c6 zenon_H2c7 zenon_H2ce zenon_H64 zenon_H189 zenon_H18c zenon_H105 zenon_H133 zenon_H120 zenon_H181 zenon_H2f zenon_Hd1 zenon_H118 zenon_H16d zenon_Hfe zenon_H17b zenon_H49 zenon_H24e zenon_H18a zenon_H258 zenon_H18d zenon_H1c3. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H131 | zenon_intro zenon_H1ef ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H60 | zenon_intro zenon_H1c5 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.02 apply (zenon_L512_); trivial. % 0.82/1.02 apply (zenon_L481_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c6. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H198. zenon_intro zenon_H1c7. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H199. zenon_intro zenon_H197. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ]. % 0.82/1.02 apply (zenon_L518_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H195. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H161. zenon_intro zenon_H196. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H12f | zenon_intro zenon_H192 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.82/1.02 apply (zenon_L521_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_Ha. zenon_intro zenon_H11b. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10c. zenon_intro zenon_H11c. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H11d. zenon_intro zenon_H10b. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H2c | zenon_intro zenon_H44 ]. % 0.82/1.02 apply (zenon_L520_); trivial. % 0.82/1.02 apply (zenon_L218_); trivial. % 0.82/1.02 apply (zenon_L524_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_Ha. zenon_intro zenon_H193. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H14a. zenon_intro zenon_H194. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H14b. zenon_intro zenon_H149. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H2c | zenon_intro zenon_H44 ]. % 0.82/1.02 apply (zenon_L525_); trivial. % 0.82/1.02 apply (zenon_L372_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_Ha. zenon_intro zenon_H11b. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10c. zenon_intro zenon_H11c. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H11d. zenon_intro zenon_H10b. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H2c | zenon_intro zenon_H44 ]. % 0.82/1.02 apply (zenon_L525_); trivial. % 0.82/1.02 apply (zenon_L218_); trivial. % 0.82/1.02 apply (zenon_L528_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H124. zenon_intro zenon_H158. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H125. zenon_intro zenon_H126. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H12f | zenon_intro zenon_H192 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H2c | zenon_intro zenon_H44 ]. % 0.82/1.02 apply (zenon_L520_); trivial. % 0.82/1.02 apply (zenon_L530_); trivial. % 0.82/1.02 apply (zenon_L524_); trivial. % 0.82/1.02 apply (zenon_L533_); trivial. % 0.82/1.02 apply (zenon_L302_); trivial. % 0.82/1.02 (* end of lemma zenon_L534_ *) % 0.82/1.02 assert (zenon_L535_ : ((~(hskp9))\/((ndr1_0)/\((c3_1 (a416))/\((~(c0_1 (a416)))/\(~(c1_1 (a416))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp7))) -> (~(c2_1 (a404))) -> (c0_1 (a404)) -> (c3_1 (a404)) -> (~(hskp7)) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a426))/\((c1_1 (a426))/\(~(c2_1 (a426))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(hskp9))) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (ndr1_0) -> (~(c3_1 (a400))) -> (c1_1 (a400)) -> (c2_1 (a400)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp12)\/(hskp10))) -> (~(hskp8)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((hskp8)\/(hskp9))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a418))/\((~(c0_1 (a418)))/\(~(c2_1 (a418))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1c4 zenon_Ha6 zenon_H21b zenon_H131 zenon_H13f zenon_H1f2 zenon_H1f3 zenon_H1f4 zenon_H4a zenon_H4e zenon_H217 zenon_H244 zenon_H234 zenon_H233 zenon_H232 zenon_H246 zenon_Ha zenon_H2c5 zenon_H2c6 zenon_H2c7 zenon_H2ce zenon_H60 zenon_H64 zenon_H189. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.02 apply (zenon_L512_); trivial. % 0.82/1.02 apply (zenon_L189_); trivial. % 0.82/1.02 (* end of lemma zenon_L535_ *) % 0.82/1.02 assert (zenon_L536_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp7))) -> (c3_1 (a415)) -> (~(c1_1 (a415))) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (c1_1 (a434)) -> (~(c3_1 (a434))) -> (~(c0_1 (a434))) -> (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17)))))) -> (ndr1_0) -> (~(hskp7)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H13f zenon_H199 zenon_H197 zenon_H10a zenon_H9a zenon_H92 zenon_H91 zenon_H90 zenon_Ha zenon_H4a. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_H135 | zenon_intro zenon_H140 ]. % 0.82/1.02 apply (zenon_L366_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H66 | zenon_intro zenon_H4b ]. % 0.82/1.02 apply (zenon_L39_); trivial. % 0.82/1.02 exact (zenon_H4a zenon_H4b). % 0.82/1.02 (* end of lemma zenon_L536_ *) % 0.82/1.02 assert (zenon_L537_ : ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp28)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c2_1 (a415)) -> (c3_1 (a477)) -> (~(c2_1 (a477))) -> (~(c0_1 (a477))) -> (~(c0_1 (a418))) -> (~(c2_1 (a418))) -> (c1_1 (a418)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/(hskp28))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp6))) -> (~(hskp7)) -> (ndr1_0) -> (~(c0_1 (a434))) -> (~(c3_1 (a434))) -> (c1_1 (a434)) -> (~(c1_1 (a415))) -> (c3_1 (a415)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp7))) -> (~(hskp6)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H24e zenon_H16b zenon_H118 zenon_H198 zenon_H39 zenon_H38 zenon_H37 zenon_H15f zenon_H160 zenon_H161 zenon_H16d zenon_H232 zenon_H233 zenon_H234 zenon_H21b zenon_H4a zenon_Ha zenon_H91 zenon_H92 zenon_H9a zenon_H197 zenon_H199 zenon_H13f zenon_H131. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H24f ]. % 0.82/1.02 apply (zenon_L210_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H240 | zenon_intro zenon_H10a ]. % 0.82/1.02 apply (zenon_L249_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H135 | zenon_intro zenon_H21c ]. % 0.82/1.02 apply (zenon_L366_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H90 | zenon_intro zenon_H132 ]. % 0.82/1.02 apply (zenon_L536_); trivial. % 0.82/1.02 exact (zenon_H131 zenon_H132). % 0.82/1.02 (* end of lemma zenon_L537_ *) % 0.82/1.02 assert (zenon_L538_ : ((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp20))) -> (~(hskp9)) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> (~(c0_1 (a434))) -> (~(c3_1 (a434))) -> (c1_1 (a434)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(hskp9))) -> (~(hskp20)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H178 zenon_H1b4 zenon_H62 zenon_H234 zenon_H233 zenon_H232 zenon_H91 zenon_H92 zenon_H9a zenon_H244 zenon_H3. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_Ha. zenon_intro zenon_H179. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H16f. zenon_intro zenon_H17a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H66 | zenon_intro zenon_H1b5 ]. % 0.82/1.02 apply (zenon_L256_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_Hf3 | zenon_intro zenon_H4 ]. % 0.82/1.02 apply (zenon_L103_); trivial. % 0.82/1.02 exact (zenon_H3 zenon_H4). % 0.82/1.02 (* end of lemma zenon_L538_ *) % 0.82/1.02 assert (zenon_L539_ : ((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp20))) -> (~(hskp20)) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(hskp9))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/(hskp28))) -> (~(c1_1 (a415))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c1_1 (a418)) -> (~(c2_1 (a418))) -> (~(c0_1 (a418))) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a434))) -> (~(c3_1 (a434))) -> (c1_1 (a434)) -> (~(hskp7)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp7))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H44 zenon_H17b zenon_H1b4 zenon_H3 zenon_H62 zenon_H244 zenon_H16d zenon_H197 zenon_H198 zenon_H199 zenon_H118 zenon_H161 zenon_H160 zenon_H15f zenon_H234 zenon_H233 zenon_H232 zenon_H21b zenon_H131 zenon_H91 zenon_H92 zenon_H9a zenon_H4a zenon_H13f zenon_H24e. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H46. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H39. zenon_intro zenon_H47. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H16b | zenon_intro zenon_H178 ]. % 0.82/1.02 apply (zenon_L537_); trivial. % 0.82/1.02 apply (zenon_L538_); trivial. % 0.82/1.02 (* end of lemma zenon_L539_ *) % 0.82/1.02 assert (zenon_L540_ : ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (c3_1 (a449)) -> (c1_1 (a449)) -> (forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56)))))) -> (~(c2_1 (a449))) -> (ndr1_0) -> (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17)))))) -> (~(c3_1 (a400))) -> (c2_1 (a400)) -> (c1_1 (a400)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H246 zenon_H232 zenon_H233 zenon_H234 zenon_H4f zenon_H50 zenon_Hd3 zenon_H52 zenon_Ha zenon_H90 zenon_H2c5 zenon_H2c7 zenon_H2c6. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H240 | zenon_intro zenon_H247 ]. % 0.82/1.02 apply (zenon_L249_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1ff | zenon_intro zenon_H20 ]. % 0.82/1.02 apply (zenon_L307_); trivial. % 0.82/1.02 apply (zenon_L466_); trivial. % 0.82/1.02 (* end of lemma zenon_L540_ *) % 0.82/1.02 assert (zenon_L541_ : ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> (c1_1 (a400)) -> (c2_1 (a400)) -> (~(c3_1 (a400))) -> (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17)))))) -> (ndr1_0) -> (~(c2_1 (a449))) -> (c1_1 (a449)) -> (c3_1 (a449)) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (~(hskp27)) -> (~(hskp9)) -> False). % 0.82/1.02 do 0 intro. intros zenon_Hdd zenon_H2c6 zenon_H2c7 zenon_H2c5 zenon_H90 zenon_Ha zenon_H52 zenon_H50 zenon_H4f zenon_H234 zenon_H233 zenon_H232 zenon_H246 zenon_H1c zenon_H62. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hde ]. % 0.82/1.02 apply (zenon_L540_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_H1d | zenon_intro zenon_H63 ]. % 0.82/1.02 exact (zenon_H1c zenon_H1d). % 0.82/1.02 exact (zenon_H62 zenon_H63). % 0.82/1.02 (* end of lemma zenon_L541_ *) % 0.82/1.02 assert (zenon_L542_ : ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(hskp9))) -> (~(hskp27)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c3_1 (a449)) -> (c1_1 (a449)) -> (~(c2_1 (a449))) -> (~(c3_1 (a400))) -> (c2_1 (a400)) -> (c1_1 (a400)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H244 zenon_H1c zenon_H246 zenon_H4f zenon_H50 zenon_H52 zenon_H2c5 zenon_H2c7 zenon_H2c6 zenon_Hdd zenon_H232 zenon_H233 zenon_H234 zenon_Ha zenon_H62. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H90 | zenon_intro zenon_H245 ]. % 0.82/1.02 apply (zenon_L541_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H240 | zenon_intro zenon_H63 ]. % 0.82/1.02 apply (zenon_L249_); trivial. % 0.82/1.02 exact (zenon_H62 zenon_H63). % 0.82/1.02 (* end of lemma zenon_L542_ *) % 0.82/1.02 assert (zenon_L543_ : ((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c2_1 (a404))) -> (c0_1 (a404)) -> (c3_1 (a404)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> (~(c3_1 (a400))) -> (c2_1 (a400)) -> (c1_1 (a400)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(hskp9))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H78 zenon_H33 zenon_H118 zenon_H1f2 zenon_H1f3 zenon_H1f4 zenon_Hdd zenon_H62 zenon_H234 zenon_H233 zenon_H232 zenon_H2c5 zenon_H2c7 zenon_H2c6 zenon_H246 zenon_H244. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H7a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H50. zenon_intro zenon_H7b. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H4f. zenon_intro zenon_H52. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H1c | zenon_intro zenon_H2e ]. % 0.82/1.02 apply (zenon_L542_); trivial. % 0.82/1.02 apply (zenon_L311_); trivial. % 0.82/1.02 (* end of lemma zenon_L543_ *) % 0.82/1.02 assert (zenon_L544_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a434))/\((~(c0_1 (a434)))/\(~(c3_1 (a434))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414)))))) -> ((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp20))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(hskp9))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/(hskp28))) -> (~(c1_1 (a415))) -> (c2_1 (a415)) -> (c3_1 (a415)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c1_1 (a418)) -> (~(c2_1 (a418))) -> (~(c0_1 (a418))) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp6))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8))))))\/(hskp7))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (c2_1 (a400)) -> (c1_1 (a400)) -> (~(hskp15)) -> (~(hskp6)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((hskp15)\/(hskp6))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (~(c3_1 (a400))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> (ndr1_0) -> (~(c2_1 (a404))) -> (c0_1 (a404)) -> (c3_1 (a404)) -> (~(hskp7)) -> ((forall X91 : zenon_U, ((ndr1_0)->((c2_1 X91)\/((~(c0_1 X91))\/(~(c3_1 X91))))))\/((hskp7)\/(hskp16))) -> False). % 0.82/1.02 do 0 intro. intros zenon_Ha6 zenon_H18a zenon_H49 zenon_H17b zenon_H1b4 zenon_H62 zenon_H244 zenon_H16d zenon_H197 zenon_H198 zenon_H199 zenon_H118 zenon_H161 zenon_H160 zenon_H15f zenon_H234 zenon_H233 zenon_H232 zenon_H21b zenon_H13f zenon_H24e zenon_H2f zenon_H2c7 zenon_H2c6 zenon_H12f zenon_H131 zenon_H133 zenon_H246 zenon_H2c5 zenon_Hdd zenon_H33 zenon_H8f zenon_Ha zenon_H1f2 zenon_H1f3 zenon_H1f4 zenon_H4a zenon_H4e. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H4c | zenon_intro zenon_Ha3 ]. % 0.82/1.02 apply (zenon_L160_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_Ha. zenon_intro zenon_Ha4. % 0.82/1.02 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H9a. zenon_intro zenon_Ha5. % 0.82/1.02 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H91. zenon_intro zenon_H92. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H2c | zenon_intro zenon_H44 ]. % 0.82/1.02 apply (zenon_L520_); trivial. % 0.82/1.02 apply (zenon_L539_); trivial. % 0.82/1.02 apply (zenon_L543_); trivial. % 0.82/1.02 apply (zenon_L357_); trivial. % 0.82/1.02 (* end of lemma zenon_L544_ *) % 0.82/1.02 assert (zenon_L545_ : ((ndr1_0)/\((c0_1 (a426))/\((c1_1 (a426))/\(~(c2_1 (a426)))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp1))) -> (c2_1 (a400)) -> (c1_1 (a400)) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c0_1 (a410)) -> (~(c3_1 (a410))) -> (~(c1_1 (a410))) -> (~(hskp1)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H218 zenon_H185 zenon_H2c7 zenon_H2c6 zenon_H234 zenon_H233 zenon_H232 zenon_H246 zenon_H1a2 zenon_H1a1 zenon_H1a0 zenon_Hc7. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Ha. zenon_intro zenon_H219. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H201. zenon_intro zenon_H21a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H202. zenon_intro zenon_H200. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_Hdf | zenon_intro zenon_H186 ]. % 0.82/1.02 apply (zenon_L514_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H114 | zenon_intro zenon_Hc8 ]. % 0.82/1.02 apply (zenon_L119_); trivial. % 0.82/1.02 exact (zenon_Hc7 zenon_Hc8). % 0.82/1.02 (* end of lemma zenon_L545_ *) % 0.82/1.02 assert (zenon_L546_ : ((ndr1_0)/\((c0_1 (a410))/\((~(c1_1 (a410)))/\(~(c3_1 (a410)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a426))/\((c1_1 (a426))/\(~(c2_1 (a426))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/(hskp1))) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> (c1_1 (a400)) -> (c2_1 (a400)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (~(hskp1)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((hskp12)\/(hskp1))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1d6 zenon_H217 zenon_H185 zenon_H234 zenon_H233 zenon_H232 zenon_H2c6 zenon_H2c7 zenon_H246 zenon_Hc7 zenon_H226. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_Ha. zenon_intro zenon_H1d8. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1a2. zenon_intro zenon_H1d9. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1a0. zenon_intro zenon_H1a1. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.82/1.02 apply (zenon_L222_); trivial. % 0.82/1.02 apply (zenon_L545_); trivial. % 0.82/1.02 (* end of lemma zenon_L546_ *) % 0.82/1.02 assert (zenon_L547_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (~(hskp19)) -> (c1_1 (a400)) -> (c2_1 (a400)) -> (~(c3_1 (a400))) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (ndr1_0) -> (~(c3_1 (a401))) -> (c0_1 (a401)) -> (c1_1 (a401)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H8f zenon_H49 zenon_H154 zenon_H152 zenon_H2f zenon_H2a zenon_H2c6 zenon_H2c7 zenon_H2c5 zenon_H9f zenon_Ha1 zenon_Ha zenon_H290 zenon_H291 zenon_H292 zenon_H1b. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.02 apply (zenon_L391_); trivial. % 0.82/1.02 apply (zenon_L469_); trivial. % 0.82/1.02 (* end of lemma zenon_L547_ *) % 0.82/1.02 assert (zenon_L548_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((hskp8)\/(hskp9))) -> (~(hskp8)) -> (~(c1_1 (a410))) -> (~(c3_1 (a410))) -> (c0_1 (a410)) -> (~(hskp9)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((forall X73 : zenon_U, ((ndr1_0)->((~(c1_1 X73))\/((~(c2_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (c1_1 (a401)) -> (c0_1 (a401)) -> (~(c3_1 (a401))) -> (ndr1_0) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (~(c3_1 (a400))) -> (c2_1 (a400)) -> (c1_1 (a400)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H18a zenon_H64 zenon_H60 zenon_H1a0 zenon_H1a1 zenon_H1a2 zenon_H62 zenon_H1a9 zenon_H1b zenon_H292 zenon_H291 zenon_H290 zenon_Ha zenon_Ha1 zenon_H9f zenon_H2c5 zenon_H2c7 zenon_H2c6 zenon_H2f zenon_H152 zenon_H154 zenon_H49 zenon_H8f. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/1.02 apply (zenon_L547_); trivial. % 0.82/1.02 apply (zenon_L120_); trivial. % 0.82/1.02 (* end of lemma zenon_L548_ *) % 0.82/1.02 assert (zenon_L549_ : ((ndr1_0)/\((c0_1 (a410))/\((~(c1_1 (a410)))/\(~(c3_1 (a410)))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a415))/\((c3_1 (a415))/\(~(c1_1 (a415))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a418))/\((~(c0_1 (a418)))/\(~(c2_1 (a418))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> (~(hskp2)) -> (~(c3_1 (a401))) -> (c0_1 (a401)) -> (c1_1 (a401)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((hskp8)\/(hskp9))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((forall X73 : zenon_U, ((ndr1_0)->((~(c1_1 X73))\/((~(c2_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(c3_1 (a400))) -> (c2_1 (a400)) -> (c1_1 (a400)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp22))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp3))) -> (~(hskp3)) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a428))/\((~(c0_1 (a428)))/\(~(c1_1 (a428))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a430))/\((c2_1 (a430))/\(~(c3_1 (a430))))))) -> (~(hskp6)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((hskp15)\/(hskp6))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414)))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a416))/\((~(c0_1 (a416)))/\(~(c1_1 (a416))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1d6 zenon_H1c3 zenon_H189 zenon_H8f zenon_H79 zenon_H6a zenon_H290 zenon_H291 zenon_H292 zenon_H1b zenon_H18a zenon_H64 zenon_H1a9 zenon_Ha1 zenon_H2c5 zenon_H2c7 zenon_H2c6 zenon_H2f zenon_H154 zenon_H49 zenon_H105 zenon_H261 zenon_H100 zenon_H256 zenon_H42 zenon_H120 zenon_H1d7 zenon_H18b zenon_H18c zenon_H131 zenon_H133 zenon_H16d zenon_H258 zenon_H17b zenon_H1c4. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_Ha. zenon_intro zenon_H1d8. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1a2. zenon_intro zenon_H1d9. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1a0. zenon_intro zenon_H1a1. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H60 | zenon_intro zenon_H1c5 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H76 | zenon_intro zenon_H18f ]. % 0.82/1.02 apply (zenon_L392_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Ha. zenon_intro zenon_H190. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_He1. zenon_intro zenon_H191. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_He2. zenon_intro zenon_He0. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H9f | zenon_intro zenon_H1d3 ]. % 0.82/1.02 apply (zenon_L548_); trivial. % 0.82/1.02 apply (zenon_L403_); trivial. % 0.82/1.02 apply (zenon_L186_); trivial. % 0.82/1.02 apply (zenon_L426_); trivial. % 0.82/1.02 apply (zenon_L405_); trivial. % 0.82/1.02 (* end of lemma zenon_L549_ *) % 0.82/1.02 assert (zenon_L550_ : ((ndr1_0)/\((c0_1 (a410))/\((~(c1_1 (a410)))/\(~(c3_1 (a410)))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a415))/\((c3_1 (a415))/\(~(c1_1 (a415))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a418))/\((~(c0_1 (a418)))/\(~(c2_1 (a418))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/((hskp2)\/(hskp13))) -> (~(hskp2)) -> (~(c3_1 (a401))) -> (c0_1 (a401)) -> (c1_1 (a401)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a445))/\((c3_1 (a445))/\(~(c0_1 (a445))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((hskp8)\/(hskp9))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c3_1 X39)\/(~(c0_1 X39))))))\/((forall X73 : zenon_U, ((ndr1_0)->((~(c1_1 X73))\/((~(c2_1 X73))\/(~(c3_1 X73))))))\/(hskp9))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(c3_1 (a400))) -> (c2_1 (a400)) -> (c1_1 (a400)) -> ((forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64))))))\/((hskp19)\/(hskp24))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c3_1 (a477))/\((~(c0_1 (a477)))/\(~(c2_1 (a477))))))) -> (~(c0_1 (a403))) -> (~(c2_1 (a403))) -> (~(c3_1 (a403))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c1_1 X3)\/((c3_1 X3)\/(~(c2_1 X3))))))\/(forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a428))/\((~(c0_1 (a428)))/\(~(c1_1 (a428))))))) -> ((~(hskp13))\/((ndr1_0)/\((c1_1 (a427))/\((c2_1 (a427))/\(~(c0_1 (a427))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a430))/\((c2_1 (a430))/\(~(c3_1 (a430))))))) -> (~(hskp6)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((hskp15)\/(hskp6))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/(hskp28))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414)))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a416))/\((~(c0_1 (a416)))/\(~(c1_1 (a416))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1d6 zenon_H1c3 zenon_H189 zenon_H8f zenon_H79 zenon_H6a zenon_H290 zenon_H291 zenon_H292 zenon_H1b zenon_H18a zenon_H64 zenon_H1a9 zenon_Ha1 zenon_H2c5 zenon_H2c7 zenon_H2c6 zenon_H2f zenon_H154 zenon_H49 zenon_H21d zenon_H21e zenon_H21f zenon_H105 zenon_H100 zenon_H1ed zenon_H1d7 zenon_H18b zenon_H18c zenon_H131 zenon_H133 zenon_H16d zenon_H258 zenon_H17b zenon_H1c4. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_Ha. zenon_intro zenon_H1d8. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1a2. zenon_intro zenon_H1d9. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1a0. zenon_intro zenon_H1a1. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H60 | zenon_intro zenon_H1c5 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H76 | zenon_intro zenon_H18f ]. % 0.82/1.02 apply (zenon_L392_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Ha. zenon_intro zenon_H190. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_He1. zenon_intro zenon_H191. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_He2. zenon_intro zenon_He0. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H9f | zenon_intro zenon_H1d3 ]. % 0.82/1.02 apply (zenon_L548_); trivial. % 0.82/1.02 apply (zenon_L420_); trivial. % 0.82/1.02 apply (zenon_L186_); trivial. % 0.82/1.02 apply (zenon_L426_); trivial. % 0.82/1.02 apply (zenon_L405_); trivial. % 0.82/1.02 (* end of lemma zenon_L550_ *) % 0.82/1.02 assert (zenon_L551_ : ((ndr1_0)/\((c0_1 (a426))/\((c1_1 (a426))/\(~(c2_1 (a426)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> (~(c3_1 (a400))) -> (c2_1 (a400)) -> (c1_1 (a400)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(hskp9))) -> (~(c3_1 (a401))) -> (c0_1 (a401)) -> (c1_1 (a401)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H218 zenon_H8f zenon_H33 zenon_Hdd zenon_H62 zenon_H234 zenon_H233 zenon_H232 zenon_H2c5 zenon_H2c7 zenon_H2c6 zenon_H246 zenon_H244 zenon_H290 zenon_H291 zenon_H292 zenon_H1b. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Ha. zenon_intro zenon_H219. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H201. zenon_intro zenon_H21a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H202. zenon_intro zenon_H200. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.02 apply (zenon_L391_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H7a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H50. zenon_intro zenon_H7b. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H4f. zenon_intro zenon_H52. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H1c | zenon_intro zenon_H2e ]. % 0.82/1.02 apply (zenon_L542_); trivial. % 0.82/1.02 apply (zenon_L252_); trivial. % 0.82/1.02 (* end of lemma zenon_L551_ *) % 0.82/1.02 assert (zenon_L552_ : ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (c3_1 (a449)) -> (c1_1 (a449)) -> (forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56)))))) -> (~(c2_1 (a449))) -> (ndr1_0) -> (forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50)))))) -> (c1_1 (a400)) -> (c2_1 (a400)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H246 zenon_H232 zenon_H233 zenon_H234 zenon_H4f zenon_H50 zenon_Hd3 zenon_H52 zenon_Ha zenon_Hdf zenon_H2c6 zenon_H2c7. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H240 | zenon_intro zenon_H247 ]. % 0.82/1.02 apply (zenon_L249_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1ff | zenon_intro zenon_H20 ]. % 0.82/1.02 apply (zenon_L307_); trivial. % 0.82/1.02 apply (zenon_L513_); trivial. % 0.82/1.02 (* end of lemma zenon_L552_ *) % 0.82/1.02 assert (zenon_L553_ : ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c3_1 (a415)) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))) -> (~(c1_1 (a415))) -> (ndr1_0) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> (~(c2_1 (a449))) -> (c1_1 (a449)) -> (c3_1 (a449)) -> (forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50)))))) -> (c1_1 (a400)) -> (c2_1 (a400)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H118 zenon_H199 zenon_H135 zenon_H197 zenon_Ha zenon_H234 zenon_H233 zenon_H232 zenon_H52 zenon_H50 zenon_H4f zenon_Hdf zenon_H2c6 zenon_H2c7 zenon_H246. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H10a ]. % 0.82/1.02 apply (zenon_L552_); trivial. % 0.82/1.02 apply (zenon_L366_); trivial. % 0.82/1.02 (* end of lemma zenon_L553_ *) % 0.82/1.02 assert (zenon_L554_ : ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c2_1 (a400)) -> (c1_1 (a400)) -> (c3_1 (a449)) -> (c1_1 (a449)) -> (~(c2_1 (a449))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c3_1 (a415)) -> (c2_1 (a415)) -> (~(c1_1 (a415))) -> (ndr1_0) -> (~(c3_1 (a430))) -> (c0_1 (a430)) -> (c2_1 (a430)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H105 zenon_H246 zenon_H2c7 zenon_H2c6 zenon_H4f zenon_H50 zenon_H52 zenon_H232 zenon_H233 zenon_H234 zenon_H135 zenon_H118 zenon_H199 zenon_H198 zenon_H197 zenon_Ha zenon_H149 zenon_H14a zenon_H14b. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdf | zenon_intro zenon_H106 ]. % 0.82/1.02 apply (zenon_L553_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hea | zenon_intro zenon_H101 ]. % 0.82/1.02 apply (zenon_L113_); trivial. % 0.82/1.02 apply (zenon_L87_); trivial. % 0.82/1.02 (* end of lemma zenon_L554_ *) % 0.82/1.02 assert (zenon_L555_ : ((ndr1_0)/\((c2_1 (a409))/\((~(c0_1 (a409)))/\(~(c3_1 (a409)))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a416))/\((~(c0_1 (a416)))/\(~(c1_1 (a416))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp4))) -> (~(hskp4)) -> (c1_1 (a401)) -> (c0_1 (a401)) -> (~(c3_1 (a401))) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(hskp9))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1ef zenon_H1c4 zenon_H28e zenon_Hcf zenon_H292 zenon_H291 zenon_H290 zenon_H234 zenon_H233 zenon_H232 zenon_H244. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_Ha. zenon_intro zenon_H1f0. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1ca. zenon_intro zenon_H1f1. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1c8. zenon_intro zenon_H1c9. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.02 apply (zenon_L301_); trivial. % 0.82/1.02 apply (zenon_L404_); trivial. % 0.82/1.02 (* end of lemma zenon_L555_ *) % 0.82/1.02 assert (zenon_L556_ : ((~(hskp6))\/((ndr1_0)/\((c2_1 (a409))/\((~(c0_1 (a409)))/\(~(c3_1 (a409))))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a416))/\((~(c0_1 (a416)))/\(~(c1_1 (a416))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp4))) -> (~(hskp4)) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a426))/\((c1_1 (a426))/\(~(c2_1 (a426))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(hskp9))) -> (~(c3_1 (a401))) -> (c0_1 (a401)) -> (c1_1 (a401)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (ndr1_0) -> (~(c3_1 (a400))) -> (c1_1 (a400)) -> (c2_1 (a400)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c3_1 X5)\/((~(c1_1 X5))\/(~(c2_1 X5))))))\/((hskp12)\/(hskp10))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((hskp8)\/(hskp9))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a418))/\((~(c0_1 (a418)))/\(~(c2_1 (a418))))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((hskp15)\/(hskp6))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a430))/\((c2_1 (a430))/\(~(c3_1 (a430))))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a415))/\((c3_1 (a415))/\(~(c1_1 (a415))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H2dc zenon_H1c4 zenon_H28e zenon_Hcf zenon_H217 zenon_H8f zenon_H33 zenon_Hdd zenon_H234 zenon_H233 zenon_H232 zenon_H246 zenon_H244 zenon_H290 zenon_H291 zenon_H292 zenon_H1b zenon_Ha zenon_H2c5 zenon_H2c6 zenon_H2c7 zenon_H2ce zenon_H64 zenon_H189 zenon_H118 zenon_H133 zenon_H105 zenon_H18c zenon_H1c3. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H131 | zenon_intro zenon_H1ef ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H60 | zenon_intro zenon_H1c5 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.82/1.02 apply (zenon_L465_); trivial. % 0.82/1.02 apply (zenon_L551_); trivial. % 0.82/1.02 apply (zenon_L186_); trivial. % 0.82/1.02 apply (zenon_L404_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c6. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H198. zenon_intro zenon_H1c7. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H199. zenon_intro zenon_H197. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H12f | zenon_intro zenon_H192 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.02 apply (zenon_L391_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H7a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H50. zenon_intro zenon_H7b. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H4f. zenon_intro zenon_H52. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H135 | zenon_intro zenon_H28f ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_Hdf | zenon_intro zenon_H134 ]. % 0.82/1.02 apply (zenon_L553_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H130 | zenon_intro zenon_H132 ]. % 0.82/1.02 exact (zenon_H12f zenon_H130). % 0.82/1.02 exact (zenon_H131 zenon_H132). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd0 ]. % 0.82/1.02 apply (zenon_L390_); trivial. % 0.82/1.02 exact (zenon_Hcf zenon_Hd0). % 0.82/1.02 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_Ha. zenon_intro zenon_H193. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H14a. zenon_intro zenon_H194. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H14b. zenon_intro zenon_H149. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.02 apply (zenon_L391_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H7a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H50. zenon_intro zenon_H7b. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H4f. zenon_intro zenon_H52. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H135 | zenon_intro zenon_H28f ]. % 0.82/1.02 apply (zenon_L554_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_Hb | zenon_intro zenon_Hd0 ]. % 0.82/1.02 apply (zenon_L390_); trivial. % 0.82/1.02 exact (zenon_Hcf zenon_Hd0). % 0.82/1.02 apply (zenon_L555_); trivial. % 0.82/1.02 (* end of lemma zenon_L556_ *) % 0.82/1.02 assert (zenon_L557_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c2_1 (a404))) -> (c0_1 (a404)) -> (c3_1 (a404)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> (~(c3_1 (a400))) -> (c2_1 (a400)) -> (c1_1 (a400)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(hskp9))) -> (ndr1_0) -> (~(c3_1 (a401))) -> (c0_1 (a401)) -> (c1_1 (a401)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H8f zenon_H33 zenon_H118 zenon_H1f2 zenon_H1f3 zenon_H1f4 zenon_Hdd zenon_H62 zenon_H234 zenon_H233 zenon_H232 zenon_H2c5 zenon_H2c7 zenon_H2c6 zenon_H246 zenon_H244 zenon_Ha zenon_H290 zenon_H291 zenon_H292 zenon_H1b. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.02 apply (zenon_L391_); trivial. % 0.82/1.02 apply (zenon_L543_); trivial. % 0.82/1.02 (* end of lemma zenon_L557_ *) % 0.82/1.02 assert (zenon_L558_ : ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (c3_1 (a404)) -> (c0_1 (a404)) -> (~(c2_1 (a404))) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50)))))) -> (c1_1 (a400)) -> (c2_1 (a400)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H246 zenon_H232 zenon_H233 zenon_H234 zenon_H1f4 zenon_H1f3 zenon_H1f2 zenon_H10a zenon_Ha zenon_Hdf zenon_H2c6 zenon_H2c7. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H240 | zenon_intro zenon_H247 ]. % 0.82/1.02 apply (zenon_L249_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1ff | zenon_intro zenon_H20 ]. % 0.82/1.02 apply (zenon_L309_); trivial. % 0.82/1.02 apply (zenon_L513_); trivial. % 0.82/1.02 (* end of lemma zenon_L558_ *) % 0.82/1.02 assert (zenon_L559_ : ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c2_1 (a404))) -> (c0_1 (a404)) -> (c3_1 (a404)) -> (ndr1_0) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> (~(c2_1 (a449))) -> (c1_1 (a449)) -> (c3_1 (a449)) -> (forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50)))))) -> (c1_1 (a400)) -> (c2_1 (a400)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H118 zenon_H1f2 zenon_H1f3 zenon_H1f4 zenon_Ha zenon_H234 zenon_H233 zenon_H232 zenon_H52 zenon_H50 zenon_H4f zenon_Hdf zenon_H2c6 zenon_H2c7 zenon_H246. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H10a ]. % 0.82/1.02 apply (zenon_L552_); trivial. % 0.82/1.02 apply (zenon_L558_); trivial. % 0.82/1.02 (* end of lemma zenon_L559_ *) % 0.82/1.02 assert (zenon_L560_ : ((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449)))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((hskp15)\/(hskp6))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c2_1 (a400)) -> (c1_1 (a400)) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (c3_1 (a404)) -> (c0_1 (a404)) -> (~(c2_1 (a404))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(hskp15)) -> (~(hskp6)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H78 zenon_H133 zenon_H246 zenon_H2c7 zenon_H2c6 zenon_H232 zenon_H233 zenon_H234 zenon_H1f4 zenon_H1f3 zenon_H1f2 zenon_H118 zenon_H12f zenon_H131. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H7a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H50. zenon_intro zenon_H7b. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H4f. zenon_intro zenon_H52. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H133); [ zenon_intro zenon_Hdf | zenon_intro zenon_H134 ]. % 0.82/1.02 apply (zenon_L559_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H134); [ zenon_intro zenon_H130 | zenon_intro zenon_H132 ]. % 0.82/1.02 exact (zenon_H12f zenon_H130). % 0.82/1.02 exact (zenon_H131 zenon_H132). % 0.82/1.02 (* end of lemma zenon_L560_ *) % 0.82/1.02 assert (zenon_L561_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((hskp15)\/(hskp6))) -> (~(hskp6)) -> (~(hskp15)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c2_1 (a400)) -> (c1_1 (a400)) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (c3_1 (a404)) -> (c0_1 (a404)) -> (~(c2_1 (a404))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (ndr1_0) -> (~(c3_1 (a401))) -> (c0_1 (a401)) -> (c1_1 (a401)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H8f zenon_H133 zenon_H131 zenon_H12f zenon_H246 zenon_H2c7 zenon_H2c6 zenon_H232 zenon_H233 zenon_H234 zenon_H1f4 zenon_H1f3 zenon_H1f2 zenon_H118 zenon_Ha zenon_H290 zenon_H291 zenon_H292 zenon_H1b. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.02 apply (zenon_L391_); trivial. % 0.82/1.02 apply (zenon_L560_); trivial. % 0.82/1.02 (* end of lemma zenon_L561_ *) % 0.82/1.02 assert (zenon_L562_ : ((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (c2_1 (a430)) -> (c0_1 (a430)) -> (~(c3_1 (a430))) -> (~(c1_1 (a416))) -> (~(c0_1 (a416))) -> (c3_1 (a416)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c2_1 (a404))) -> (c0_1 (a404)) -> (c3_1 (a404)) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> (c1_1 (a400)) -> (c2_1 (a400)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(hskp10)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H78 zenon_H154 zenon_H14b zenon_H14a zenon_H149 zenon_H137 zenon_H136 zenon_H138 zenon_H118 zenon_H1f2 zenon_H1f3 zenon_H1f4 zenon_H234 zenon_H233 zenon_H232 zenon_H2c6 zenon_H2c7 zenon_H246 zenon_H105 zenon_H152. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H7a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H50. zenon_intro zenon_H7b. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H4f. zenon_intro zenon_H52. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H154); [ zenon_intro zenon_H36 | zenon_intro zenon_H155 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdf | zenon_intro zenon_H106 ]. % 0.82/1.02 apply (zenon_L559_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hea | zenon_intro zenon_H101 ]. % 0.82/1.02 apply (zenon_L86_); trivial. % 0.82/1.02 apply (zenon_L87_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H72 | zenon_intro zenon_H153 ]. % 0.82/1.02 apply (zenon_L30_); trivial. % 0.82/1.02 exact (zenon_H152 zenon_H153). % 0.82/1.02 (* end of lemma zenon_L562_ *) % 0.82/1.02 assert (zenon_L563_ : ((ndr1_0)/\((c0_1 (a430))/\((c2_1 (a430))/\(~(c3_1 (a430)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c2_1 (a404))) -> (c0_1 (a404)) -> (c3_1 (a404)) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> (c1_1 (a400)) -> (c2_1 (a400)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (~(c1_1 (a416))) -> (~(c0_1 (a416))) -> (c3_1 (a416)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(c3_1 (a401))) -> (c0_1 (a401)) -> (c1_1 (a401)) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H192 zenon_H8f zenon_H154 zenon_H152 zenon_H118 zenon_H1f2 zenon_H1f3 zenon_H1f4 zenon_H234 zenon_H233 zenon_H232 zenon_H2c6 zenon_H2c7 zenon_H246 zenon_H137 zenon_H136 zenon_H138 zenon_H105 zenon_H290 zenon_H291 zenon_H292 zenon_H1b. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_Ha. zenon_intro zenon_H193. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H14a. zenon_intro zenon_H194. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H14b. zenon_intro zenon_H149. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.02 apply (zenon_L391_); trivial. % 0.82/1.02 apply (zenon_L562_); trivial. % 0.82/1.02 (* end of lemma zenon_L563_ *) % 0.82/1.02 assert (zenon_L564_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a430))/\((c2_1 (a430))/\(~(c3_1 (a430))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(~(c3_1 X10))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp10))) -> (~(hskp10)) -> (~(c1_1 (a416))) -> (~(c0_1 (a416))) -> (c3_1 (a416)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (c1_1 (a401)) -> (c0_1 (a401)) -> (~(c3_1 (a401))) -> (ndr1_0) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c2_1 (a404))) -> (c0_1 (a404)) -> (c3_1 (a404)) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> (c1_1 (a400)) -> (c2_1 (a400)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (~(hskp6)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((hskp15)\/(hskp6))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H18c zenon_H154 zenon_H152 zenon_H137 zenon_H136 zenon_H138 zenon_H105 zenon_H1b zenon_H292 zenon_H291 zenon_H290 zenon_Ha zenon_H118 zenon_H1f2 zenon_H1f3 zenon_H1f4 zenon_H234 zenon_H233 zenon_H232 zenon_H2c6 zenon_H2c7 zenon_H246 zenon_H131 zenon_H133 zenon_H8f. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H12f | zenon_intro zenon_H192 ]. % 0.82/1.02 apply (zenon_L561_); trivial. % 0.82/1.02 apply (zenon_L563_); trivial. % 0.82/1.02 (* end of lemma zenon_L564_ *) % 0.82/1.02 assert (zenon_L565_ : ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c2_1 (a400)) -> (c1_1 (a400)) -> (c3_1 (a449)) -> (c1_1 (a449)) -> (~(c2_1 (a449))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (c3_1 (a404)) -> (c0_1 (a404)) -> (~(c2_1 (a404))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c3_1 (a416)) -> (~(c1_1 (a416))) -> (forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))) -> (ndr1_0) -> (~(c3_1 (a430))) -> (c0_1 (a430)) -> (c2_1 (a430)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H105 zenon_H246 zenon_H2c7 zenon_H2c6 zenon_H4f zenon_H50 zenon_H52 zenon_H232 zenon_H233 zenon_H234 zenon_H1f4 zenon_H1f3 zenon_H1f2 zenon_H118 zenon_H138 zenon_H137 zenon_H168 zenon_Ha zenon_H149 zenon_H14a zenon_H14b. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdf | zenon_intro zenon_H106 ]. % 0.82/1.02 apply (zenon_L559_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hea | zenon_intro zenon_H101 ]. % 0.82/1.02 apply (zenon_L99_); trivial. % 0.82/1.02 apply (zenon_L87_); trivial. % 0.82/1.02 (* end of lemma zenon_L565_ *) % 0.82/1.02 assert (zenon_L566_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/(hskp28))) -> (c1_1 (a418)) -> (~(c2_1 (a418))) -> (~(c0_1 (a418))) -> (c2_1 (a430)) -> (c0_1 (a430)) -> (~(c3_1 (a430))) -> (ndr1_0) -> (~(c1_1 (a416))) -> (c3_1 (a416)) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c2_1 (a404))) -> (c0_1 (a404)) -> (c3_1 (a404)) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> (~(c2_1 (a449))) -> (c1_1 (a449)) -> (c3_1 (a449)) -> (c1_1 (a400)) -> (c2_1 (a400)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (~(hskp28)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H16d zenon_H161 zenon_H160 zenon_H15f zenon_H14b zenon_H14a zenon_H149 zenon_Ha zenon_H137 zenon_H138 zenon_H118 zenon_H1f2 zenon_H1f3 zenon_H1f4 zenon_H234 zenon_H233 zenon_H232 zenon_H52 zenon_H50 zenon_H4f zenon_H2c6 zenon_H2c7 zenon_H246 zenon_H105 zenon_H16b. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H16d); [ zenon_intro zenon_H51 | zenon_intro zenon_H16e ]. % 0.82/1.02 apply (zenon_L98_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H168 | zenon_intro zenon_H16c ]. % 0.82/1.02 apply (zenon_L565_); trivial. % 0.82/1.02 exact (zenon_H16b zenon_H16c). % 0.82/1.02 (* end of lemma zenon_L566_ *) % 0.82/1.02 assert (zenon_L567_ : ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (c3_1 (a404)) -> (c0_1 (a404)) -> (~(c2_1 (a404))) -> (ndr1_0) -> (c0_1 (a414)) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (c3_1 (a414)) -> (c2_1 (a414)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H246 zenon_H232 zenon_H233 zenon_H234 zenon_H1f4 zenon_H1f3 zenon_H1f2 zenon_Ha zenon_H16f zenon_H10a zenon_H171 zenon_H170. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H240 | zenon_intro zenon_H247 ]. % 0.82/1.02 apply (zenon_L249_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H1ff | zenon_intro zenon_H20 ]. % 0.82/1.02 apply (zenon_L309_); trivial. % 0.82/1.02 apply (zenon_L343_); trivial. % 0.82/1.02 (* end of lemma zenon_L567_ *) % 0.82/1.02 assert (zenon_L568_ : ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c2_1 (a404))) -> (c0_1 (a404)) -> (c3_1 (a404)) -> (c0_1 (a414)) -> (c3_1 (a414)) -> (c2_1 (a414)) -> (ndr1_0) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> (~(c2_1 (a449))) -> (c1_1 (a449)) -> (c3_1 (a449)) -> (forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17)))))) -> (~(c3_1 (a400))) -> (c2_1 (a400)) -> (c1_1 (a400)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H118 zenon_H1f2 zenon_H1f3 zenon_H1f4 zenon_H16f zenon_H171 zenon_H170 zenon_Ha zenon_H234 zenon_H233 zenon_H232 zenon_H52 zenon_H50 zenon_H4f zenon_H90 zenon_H2c5 zenon_H2c7 zenon_H2c6 zenon_H246. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_Hd3 | zenon_intro zenon_H10a ]. % 0.82/1.02 apply (zenon_L540_); trivial. % 0.82/1.02 apply (zenon_L567_); trivial. % 0.82/1.02 (* end of lemma zenon_L568_ *) % 0.82/1.02 assert (zenon_L569_ : ((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c1_1 (a400)) -> (c2_1 (a400)) -> (~(c3_1 (a400))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (c3_1 (a404)) -> (c0_1 (a404)) -> (~(c2_1 (a404))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (c3_1 (a449)) -> (c1_1 (a449)) -> (~(c2_1 (a449))) -> (~(hskp14)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H178 zenon_Ha1 zenon_H246 zenon_H2c6 zenon_H2c7 zenon_H2c5 zenon_H232 zenon_H233 zenon_H234 zenon_H1f4 zenon_H1f3 zenon_H1f2 zenon_H118 zenon_H4f zenon_H50 zenon_H52 zenon_H9f. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_Ha. zenon_intro zenon_H179. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H16f. zenon_intro zenon_H17a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H90 | zenon_intro zenon_Ha2 ]. % 0.82/1.02 apply (zenon_L568_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H72 | zenon_intro zenon_Ha0 ]. % 0.82/1.02 apply (zenon_L30_); trivial. % 0.82/1.02 exact (zenon_H9f zenon_Ha0). % 0.82/1.02 (* end of lemma zenon_L569_ *) % 0.82/1.02 assert (zenon_L570_ : ((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (~(c3_1 (a400))) -> (~(c0_1 (a418))) -> (~(c2_1 (a418))) -> (c1_1 (a418)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a430)) -> (c0_1 (a430)) -> (~(c3_1 (a430))) -> (c3_1 (a416)) -> (~(c1_1 (a416))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c2_1 (a400)) -> (c1_1 (a400)) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (c3_1 (a404)) -> (c0_1 (a404)) -> (~(c2_1 (a404))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/(hskp28))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H78 zenon_H17b zenon_Ha1 zenon_H9f zenon_H2c5 zenon_H15f zenon_H160 zenon_H161 zenon_H105 zenon_H14b zenon_H14a zenon_H149 zenon_H138 zenon_H137 zenon_H246 zenon_H2c7 zenon_H2c6 zenon_H232 zenon_H233 zenon_H234 zenon_H1f4 zenon_H1f3 zenon_H1f2 zenon_H118 zenon_H16d. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H7a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H50. zenon_intro zenon_H7b. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H4f. zenon_intro zenon_H52. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H16b | zenon_intro zenon_H178 ]. % 0.82/1.02 apply (zenon_L566_); trivial. % 0.82/1.02 apply (zenon_L569_); trivial. % 0.82/1.02 (* end of lemma zenon_L570_ *) % 0.82/1.02 assert (zenon_L571_ : ((~(hskp15))\/((ndr1_0)/\((c0_1 (a430))/\((c2_1 (a430))/\(~(c3_1 (a430))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> (~(hskp14)) -> (~(c3_1 (a400))) -> (~(c0_1 (a418))) -> (~(c2_1 (a418))) -> (c1_1 (a418)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c3_1 (a416)) -> (~(c1_1 (a416))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/(hskp28))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (c1_1 (a401)) -> (c0_1 (a401)) -> (~(c3_1 (a401))) -> (ndr1_0) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c2_1 (a404))) -> (c0_1 (a404)) -> (c3_1 (a404)) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> (c1_1 (a400)) -> (c2_1 (a400)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (~(hskp6)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((hskp15)\/(hskp6))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H18c zenon_H17b zenon_Ha1 zenon_H9f zenon_H2c5 zenon_H15f zenon_H160 zenon_H161 zenon_H105 zenon_H138 zenon_H137 zenon_H16d zenon_H1b zenon_H292 zenon_H291 zenon_H290 zenon_Ha zenon_H118 zenon_H1f2 zenon_H1f3 zenon_H1f4 zenon_H234 zenon_H233 zenon_H232 zenon_H2c6 zenon_H2c7 zenon_H246 zenon_H131 zenon_H133 zenon_H8f. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H12f | zenon_intro zenon_H192 ]. % 0.82/1.02 apply (zenon_L561_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_Ha. zenon_intro zenon_H193. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H14a. zenon_intro zenon_H194. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H14b. zenon_intro zenon_H149. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.02 apply (zenon_L391_); trivial. % 0.82/1.02 apply (zenon_L570_); trivial. % 0.82/1.02 (* end of lemma zenon_L571_ *) % 0.82/1.02 assert (zenon_L572_ : ((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a428)) -> (~(c1_1 (a428))) -> (~(c0_1 (a428))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> (c3_1 (a404)) -> (c0_1 (a404)) -> (~(c2_1 (a404))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H178 zenon_H24e zenon_Haa zenon_Ha9 zenon_Ha8 zenon_H246 zenon_H232 zenon_H233 zenon_H234 zenon_H1f4 zenon_H1f3 zenon_H1f2. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_Ha. zenon_intro zenon_H179. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H16f. zenon_intro zenon_H17a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H24f ]. % 0.82/1.02 apply (zenon_L48_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H240 | zenon_intro zenon_H10a ]. % 0.82/1.02 apply (zenon_L249_); trivial. % 0.82/1.02 apply (zenon_L567_); trivial. % 0.82/1.02 (* end of lemma zenon_L572_ *) % 0.82/1.02 assert (zenon_L573_ : ((ndr1_0)/\((c2_1 (a428))/\((~(c0_1 (a428)))/\(~(c1_1 (a428)))))) -> ((~(hskp15))\/((ndr1_0)/\((c0_1 (a430))/\((c2_1 (a430))/\(~(c3_1 (a430))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a414))/\((c2_1 (a414))/\(c3_1 (a414)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a418))) -> (~(c2_1 (a418))) -> (c1_1 (a418)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c3_1 (a416)) -> (~(c1_1 (a416))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((c2_1 X26)\/(~(c1_1 X26))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18))))))\/(hskp28))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (c1_1 (a401)) -> (c0_1 (a401)) -> (~(c3_1 (a401))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> (~(c2_1 (a404))) -> (c0_1 (a404)) -> (c3_1 (a404)) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> (c1_1 (a400)) -> (c2_1 (a400)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (~(hskp6)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((hskp15)\/(hskp6))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1d3 zenon_H18c zenon_H17b zenon_H24e zenon_H15f zenon_H160 zenon_H161 zenon_H105 zenon_H138 zenon_H137 zenon_H16d zenon_H1b zenon_H292 zenon_H291 zenon_H290 zenon_H118 zenon_H1f2 zenon_H1f3 zenon_H1f4 zenon_H234 zenon_H233 zenon_H232 zenon_H2c6 zenon_H2c7 zenon_H246 zenon_H131 zenon_H133 zenon_H8f. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_Ha. zenon_intro zenon_H1d4. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_Haa. zenon_intro zenon_H1d5. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_Ha8. zenon_intro zenon_Ha9. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H12f | zenon_intro zenon_H192 ]. % 0.82/1.02 apply (zenon_L561_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_Ha. zenon_intro zenon_H193. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H14a. zenon_intro zenon_H194. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H14b. zenon_intro zenon_H149. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.02 apply (zenon_L391_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H7a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H50. zenon_intro zenon_H7b. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H4f. zenon_intro zenon_H52. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_H16b | zenon_intro zenon_H178 ]. % 0.82/1.02 apply (zenon_L566_); trivial. % 0.82/1.02 apply (zenon_L572_); trivial. % 0.82/1.02 (* end of lemma zenon_L573_ *) % 0.82/1.02 assert (zenon_L574_ : ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a400)) -> (c1_1 (a400)) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (~(c2_1 (a404))) -> (c0_1 (a404)) -> (c3_1 (a404)) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c3_1 (a416)) -> (~(c1_1 (a416))) -> (forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp22))) -> (c0_1 (a401)) -> (~(c3_1 (a401))) -> (c3_1 (a449)) -> (c1_1 (a449)) -> (~(c2_1 (a449))) -> (ndr1_0) -> (~(hskp22)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H105 zenon_H2c7 zenon_H2c6 zenon_H10a zenon_H1f2 zenon_H1f3 zenon_H1f4 zenon_H234 zenon_H233 zenon_H232 zenon_H246 zenon_H138 zenon_H137 zenon_H168 zenon_H261 zenon_H291 zenon_H290 zenon_H4f zenon_H50 zenon_H52 zenon_Ha zenon_Hfc. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdf | zenon_intro zenon_H106 ]. % 0.82/1.02 apply (zenon_L558_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hea | zenon_intro zenon_H101 ]. % 0.82/1.02 apply (zenon_L99_); trivial. % 0.82/1.02 apply (zenon_L399_); trivial. % 0.82/1.02 (* end of lemma zenon_L574_ *) % 0.82/1.02 assert (zenon_L575_ : ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a400)) -> (c1_1 (a400)) -> (forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))) -> (~(c2_1 (a404))) -> (c0_1 (a404)) -> (c3_1 (a404)) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c3_1 (a416)) -> (~(c1_1 (a416))) -> (forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp3))) -> (~(c1_1 (a451))) -> (c2_1 (a451)) -> (c0_1 (a451)) -> (ndr1_0) -> (~(hskp3)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H105 zenon_H2c7 zenon_H2c6 zenon_H10a zenon_H1f2 zenon_H1f3 zenon_H1f4 zenon_H234 zenon_H233 zenon_H232 zenon_H246 zenon_H138 zenon_H137 zenon_H168 zenon_H256 zenon_H10b zenon_H11d zenon_H10c zenon_Ha zenon_H42. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_Hdf | zenon_intro zenon_H106 ]. % 0.82/1.02 apply (zenon_L558_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hea | zenon_intro zenon_H101 ]. % 0.82/1.02 apply (zenon_L99_); trivial. % 0.82/1.02 apply (zenon_L402_); trivial. % 0.82/1.02 (* end of lemma zenon_L575_ *) % 0.82/1.02 assert (zenon_L576_ : ((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a428)) -> (~(c1_1 (a428))) -> (~(c0_1 (a428))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))))) -> (~(c0_1 (a416))) -> (c2_1 (a409)) -> (~(c3_1 (a409))) -> (~(c0_1 (a409))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> (c2_1 (a400)) -> (c1_1 (a400)) -> (~(c2_1 (a404))) -> (c0_1 (a404)) -> (c3_1 (a404)) -> (~(c1_1 (a402))) -> (~(c2_1 (a402))) -> (c0_1 (a402)) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c3_1 (a416)) -> (~(c1_1 (a416))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp3))) -> (~(hskp3)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H119 zenon_H24e zenon_Haa zenon_Ha9 zenon_Ha8 zenon_H187 zenon_H136 zenon_H1ca zenon_H1c9 zenon_H1c8 zenon_H105 zenon_H2c7 zenon_H2c6 zenon_H1f2 zenon_H1f3 zenon_H1f4 zenon_H234 zenon_H233 zenon_H232 zenon_H246 zenon_H138 zenon_H137 zenon_H256 zenon_H42. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_Ha. zenon_intro zenon_H11b. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10c. zenon_intro zenon_H11c. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H11d. zenon_intro zenon_H10b. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H24f ]. % 0.82/1.02 apply (zenon_L48_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H240 | zenon_intro zenon_H10a ]. % 0.82/1.02 apply (zenon_L249_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H135 | zenon_intro zenon_H188 ]. % 0.82/1.02 apply (zenon_L82_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H90 | zenon_intro zenon_H168 ]. % 0.82/1.02 apply (zenon_L130_); trivial. % 0.82/1.02 apply (zenon_L575_); trivial. % 0.82/1.02 (* end of lemma zenon_L576_ *) % 0.82/1.02 assert (zenon_L577_ : ((ndr1_0)/\((c2_1 (a409))/\((~(c0_1 (a409)))/\(~(c3_1 (a409)))))) -> ((~(hskp9))\/((ndr1_0)/\((c3_1 (a416))/\((~(c0_1 (a416)))/\(~(c1_1 (a416))))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a428))/\((~(c0_1 (a428)))/\(~(c1_1 (a428))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a451))/\((c2_1 (a451))/\(~(c1_1 (a451))))))) -> (~(hskp3)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c1_1 X33)\/((~(c0_1 X33))\/(~(c2_1 X33))))))\/((forall Y : zenon_U, ((ndr1_0)->((~(c0_1 Y))\/((~(c2_1 Y))\/(~(c3_1 Y))))))\/(hskp3))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c1_1 X18)\/((c2_1 X18)\/(~(c3_1 X18)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((c2_1 X69)\/((c3_1 X69)\/(~(c0_1 X69))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp22))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c0_1 X50)\/((~(c1_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c2_1 X53))\/(~(c3_1 X53))))))\/(forall X54 : zenon_U, ((ndr1_0)->((c3_1 X54)\/((~(c0_1 X54))\/(~(c2_1 X54)))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (c1_1 (a401)) -> (c0_1 (a401)) -> (~(c3_1 (a401))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(hskp9))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> (c1_1 (a400)) -> (c2_1 (a400)) -> (~(c3_1 (a400))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/((hskp27)\/(hskp9))) -> (c3_1 (a404)) -> (c0_1 (a404)) -> (~(c2_1 (a404))) -> ((forall X56 : zenon_U, ((ndr1_0)->((c0_1 X56)\/((~(c1_1 X56))\/(~(c3_1 X56))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1ef zenon_H1c4 zenon_H1d7 zenon_H120 zenon_H42 zenon_H256 zenon_H187 zenon_H261 zenon_H105 zenon_H24e zenon_Ha1 zenon_H1b zenon_H292 zenon_H291 zenon_H290 zenon_H244 zenon_H246 zenon_H2c6 zenon_H2c7 zenon_H2c5 zenon_H232 zenon_H233 zenon_H234 zenon_Hdd zenon_H1f4 zenon_H1f3 zenon_H1f2 zenon_H118 zenon_H33 zenon_H8f. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_Ha. zenon_intro zenon_H1f0. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1ca. zenon_intro zenon_H1f1. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1c8. zenon_intro zenon_H1c9. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.02 apply (zenon_L557_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_Ha. zenon_intro zenon_H1b7. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H138. zenon_intro zenon_H1b8. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H9f | zenon_intro zenon_H1d3 ]. % 0.82/1.02 apply (zenon_L409_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_Ha. zenon_intro zenon_H1d4. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_Haa. zenon_intro zenon_H1d5. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_Ha8. zenon_intro zenon_Ha9. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.02 apply (zenon_L391_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H7a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H50. zenon_intro zenon_H7b. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H4f. zenon_intro zenon_H52. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H24f ]. % 0.82/1.02 apply (zenon_L48_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H240 | zenon_intro zenon_H10a ]. % 0.82/1.02 apply (zenon_L249_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H135 | zenon_intro zenon_H188 ]. % 0.82/1.02 apply (zenon_L82_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H90 | zenon_intro zenon_H168 ]. % 0.82/1.02 apply (zenon_L130_); trivial. % 0.82/1.02 apply (zenon_L574_); trivial. % 0.82/1.02 apply (zenon_L576_); trivial. % 0.82/1.02 (* end of lemma zenon_L577_ *) % 0.82/1.02 assert (zenon_L578_ : ((ndr1_0)/\((c2_1 (a428))/\((~(c0_1 (a428)))/\(~(c1_1 (a428)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))))) -> (~(c3_1 (a403))) -> (~(c2_1 (a403))) -> (~(c0_1 (a403))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a404))) -> (c0_1 (a404)) -> (c3_1 (a404)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1d3 zenon_H71 zenon_H1ed zenon_H21f zenon_H21e zenon_H21d zenon_H24e zenon_H1f2 zenon_H1f3 zenon_H1f4 zenon_H209 zenon_H232 zenon_H233 zenon_H234 zenon_H246 zenon_H33. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_Ha. zenon_intro zenon_H1d4. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_Haa. zenon_intro zenon_H1d5. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_Ha8. zenon_intro zenon_Ha9. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.82/1.02 apply (zenon_L442_); trivial. % 0.82/1.02 apply (zenon_L234_); trivial. % 0.82/1.02 (* end of lemma zenon_L578_ *) % 0.82/1.02 assert (zenon_L579_ : ((ndr1_0)/\((c2_1 (a409))/\((~(c0_1 (a409)))/\(~(c3_1 (a409)))))) -> ((~(hskp14))\/((ndr1_0)/\((c2_1 (a428))/\((~(c0_1 (a428)))/\(~(c1_1 (a428))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a460))/\((~(c2_1 (a460)))/\(~(c3_1 (a460))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c0_1 X7)\/((c2_1 X7)\/(c3_1 X7)))))\/(forall X8 : zenon_U, ((ndr1_0)->((c2_1 X8)\/((c3_1 X8)\/(~(c1_1 X8)))))))) -> (~(c3_1 (a403))) -> (~(c2_1 (a403))) -> (~(c0_1 (a403))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c1_1 X6)\/(~(c2_1 X6))))))\/((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/(forall X13 : zenon_U, ((ndr1_0)->((c1_1 X13)\/((~(c0_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a404))) -> (c0_1 (a404)) -> (c3_1 (a404)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/((hskp27)\/(hskp23))) -> (c0_1 (a402)) -> (~(c2_1 (a402))) -> (~(c1_1 (a402))) -> ((forall X12 : zenon_U, ((ndr1_0)->((c1_1 X12)\/((c2_1 X12)\/(~(c0_1 X12))))))\/((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((~(c0_1 X63))\/(~(c1_1 X63))))))\/(forall X64 : zenon_U, ((ndr1_0)->((~(c0_1 X64))\/((~(c1_1 X64))\/(~(c2_1 X64)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a412))/\((c1_1 (a412))/\(c2_1 (a412)))))) -> ((forall X : zenon_U, ((ndr1_0)->((c3_1 X)\/((~(c0_1 X))\/(~(c1_1 X))))))\/(hskp20)) -> (c1_1 (a401)) -> (c0_1 (a401)) -> (~(c3_1 (a401))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c0_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X35 : zenon_U, ((ndr1_0)->((c2_1 X35)\/((~(c1_1 X35))\/(~(c3_1 X35))))))\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a449))/\((c3_1 (a449))/\(~(c2_1 (a449))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1ef zenon_H1d7 zenon_H71 zenon_H1ed zenon_H21f zenon_H21e zenon_H21d zenon_H24e zenon_H1f2 zenon_H1f3 zenon_H1f4 zenon_H209 zenon_H232 zenon_H233 zenon_H234 zenon_H246 zenon_H33 zenon_H1b zenon_H292 zenon_H291 zenon_H290 zenon_Ha1 zenon_H8f. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_Ha. zenon_intro zenon_H1f0. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1ca. zenon_intro zenon_H1f1. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1c8. zenon_intro zenon_H1c9. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H9f | zenon_intro zenon_H1d3 ]. % 0.82/1.02 apply (zenon_L409_); trivial. % 0.82/1.02 apply (zenon_L578_); trivial. % 0.82/1.02 (* end of lemma zenon_L579_ *) % 0.82/1.02 apply NNPP. intro zenon_G. % 0.82/1.02 apply zenon_G. zenon_intro zenon_H2dd. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H2df. zenon_intro zenon_H2de. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H2e1. zenon_intro zenon_H2e0. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H2e3. zenon_intro zenon_H2e2. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_H2e5. zenon_intro zenon_H2e4. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H2e4). zenon_intro zenon_H2e7. zenon_intro zenon_H2e6. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H2e9. zenon_intro zenon_H2e8. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H2dc. zenon_intro zenon_H2ea. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H2ec. zenon_intro zenon_H2eb. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H1c3. zenon_intro zenon_H2ed. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H1c4. zenon_intro zenon_H2ee. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H189. zenon_intro zenon_H2ef. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_H18d. zenon_intro zenon_H2f0. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H217. zenon_intro zenon_H2f1. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H18b. zenon_intro zenon_H2f2. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H1d7. zenon_intro zenon_H2f3. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H18c. zenon_intro zenon_H2f4. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_Ha6. zenon_intro zenon_H2f5. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H2f7. zenon_intro zenon_H2f6. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H8e. zenon_intro zenon_H2f8. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H18a. zenon_intro zenon_H2f9. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_H8f. zenon_intro zenon_H2fa. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H2fc. zenon_intro zenon_H2fb. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H2fb). zenon_intro zenon_H120. zenon_intro zenon_H2fd. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H2fd). zenon_intro zenon_H71. zenon_intro zenon_H2fe. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H49. zenon_intro zenon_H2ff. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H2c3. zenon_intro zenon_H300. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_Hce. zenon_intro zenon_H301. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H33. zenon_intro zenon_H302. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H17b. zenon_intro zenon_H303. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H303). zenon_intro zenon_H1e3. zenon_intro zenon_H304. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H258. zenon_intro zenon_H305. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H305). zenon_intro zenon_H12d. zenon_intro zenon_H306. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H308. zenon_intro zenon_H307. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H307). zenon_intro zenon_H30a. zenon_intro zenon_H309. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H309). zenon_intro zenon_H1ed. zenon_intro zenon_H30b. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H30b). zenon_intro zenon_Hd1. zenon_intro zenon_H30c. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H24e. zenon_intro zenon_H30d. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_H30f. zenon_intro zenon_H30e. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_Hb3. zenon_intro zenon_H310. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H310). zenon_intro zenon_H187. zenon_intro zenon_H311. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H21b. zenon_intro zenon_H312. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H13f. zenon_intro zenon_H313. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_H28e. zenon_intro zenon_H314. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H34. zenon_intro zenon_H315. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H183. zenon_intro zenon_H316. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H16d. zenon_intro zenon_H317. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H64. zenon_intro zenon_H318. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H181. zenon_intro zenon_H319. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H319). zenon_intro zenon_H154. zenon_intro zenon_H31a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H15b. zenon_intro zenon_H31b. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H31b). zenon_intro zenon_H45. zenon_intro zenon_H31c. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H11a. zenon_intro zenon_H31d. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H31d). zenon_intro zenon_Hca. zenon_intro zenon_H31e. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H31e). zenon_intro zenon_H244. zenon_intro zenon_H31f. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H31f). zenon_intro zenon_H321. zenon_intro zenon_H320. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H320). zenon_intro zenon_H1d1. zenon_intro zenon_H322. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H322). zenon_intro zenon_Ha1. zenon_intro zenon_H323. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H323). zenon_intro zenon_H185. zenon_intro zenon_H324. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H324). zenon_intro zenon_H105. zenon_intro zenon_H325. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H325). zenon_intro zenon_H133. zenon_intro zenon_H326. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_H118. zenon_intro zenon_H327. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_Hdd. zenon_intro zenon_H328. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H328). zenon_intro zenon_H32a. zenon_intro zenon_H329. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H329). zenon_intro zenon_H15c. zenon_intro zenon_H32b. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H246. zenon_intro zenon_H32c. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H32e. zenon_intro zenon_H32d. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H289. zenon_intro zenon_H32f. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H331. zenon_intro zenon_H330. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H330). zenon_intro zenon_H275. zenon_intro zenon_H332. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_H1a9. zenon_intro zenon_H333. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H226. zenon_intro zenon_H334. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H100. zenon_intro zenon_H335. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H335). zenon_intro zenon_H337. zenon_intro zenon_H336. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H336). zenon_intro zenon_H256. zenon_intro zenon_H338. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H338). zenon_intro zenon_H33a. zenon_intro zenon_H339. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H339). zenon_intro zenon_H33c. zenon_intro zenon_H33b. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H33b). zenon_intro zenon_H261. zenon_intro zenon_H33d. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H33d). zenon_intro zenon_H89. zenon_intro zenon_H33e. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H33e). zenon_intro zenon_H1b4. zenon_intro zenon_H33f. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H33f). zenon_intro zenon_H248. zenon_intro zenon_H340. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H340). zenon_intro zenon_H6d. zenon_intro zenon_H341. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H341). zenon_intro zenon_H209. zenon_intro zenon_H342. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H342). zenon_intro zenon_H1fd. zenon_intro zenon_H343. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H343). zenon_intro zenon_H4e. zenon_intro zenon_H344. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H344). zenon_intro zenon_H2ac. zenon_intro zenon_H345. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H345). zenon_intro zenon_H79. zenon_intro zenon_H346. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H346). zenon_intro zenon_H348. zenon_intro zenon_H347. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H347). zenon_intro zenon_H1b. zenon_intro zenon_H349. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H349). zenon_intro zenon_H34b. zenon_intro zenon_H34a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H34a). zenon_intro zenon_H2ce. zenon_intro zenon_H34c. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H34c). zenon_intro zenon_H2f. zenon_intro zenon_H34d. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H34d). zenon_intro zenon_Hfe. zenon_intro zenon_H34e. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H34e). zenon_intro zenon_H24a. zenon_intro zenon_H34f. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H34f). zenon_intro zenon_H351. zenon_intro zenon_H350. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H350). zenon_intro zenon_H353. zenon_intro zenon_H352. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H352). zenon_intro zenon_H7. zenon_intro zenon_H354. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H2df); [ zenon_intro zenon_H1e | zenon_intro zenon_H355 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H356 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H6a | zenon_intro zenon_H357 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_Hcf | zenon_intro zenon_H358 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H40 | zenon_intro zenon_H2a9 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H131 | zenon_intro zenon_H1ef ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H1d6 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H60 | zenon_intro zenon_H1c5 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H76 | zenon_intro zenon_H18f ]. % 0.82/1.02 apply (zenon_L37_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Ha. zenon_intro zenon_H190. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_He1. zenon_intro zenon_H191. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_He2. zenon_intro zenon_He0. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H9f | zenon_intro zenon_H1d3 ]. % 0.82/1.02 apply (zenon_L47_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_Ha. zenon_intro zenon_H1d4. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_Haa. zenon_intro zenon_H1d5. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_Ha8. zenon_intro zenon_Ha9. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H4c | zenon_intro zenon_Ha3 ]. % 0.82/1.02 apply (zenon_L45_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_Ha. zenon_intro zenon_Ha4. % 0.82/1.02 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H9a. zenon_intro zenon_Ha5. % 0.82/1.02 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H91. zenon_intro zenon_H92. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H2c | zenon_intro zenon_H44 ]. % 0.82/1.02 apply (zenon_L56_); trivial. % 0.82/1.02 apply (zenon_L58_); trivial. % 0.82/1.02 apply (zenon_L76_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H124. zenon_intro zenon_H158. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H125. zenon_intro zenon_H126. % 0.82/1.02 apply (zenon_L78_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_Ha. zenon_intro zenon_H1b7. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H138. zenon_intro zenon_H1b8. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.82/1.02 apply (zenon_L112_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c6. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H198. zenon_intro zenon_H1c7. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H199. zenon_intro zenon_H197. % 0.82/1.02 apply (zenon_L116_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_Ha. zenon_intro zenon_H1d8. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1a2. zenon_intro zenon_H1d9. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1a0. zenon_intro zenon_H1a1. % 0.82/1.02 apply (zenon_L129_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_Ha. zenon_intro zenon_H1f0. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1ca. zenon_intro zenon_H1f1. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1c8. zenon_intro zenon_H1c9. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H1d6 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H60 | zenon_intro zenon_H1c5 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H76 | zenon_intro zenon_H18f ]. % 0.82/1.02 apply (zenon_L37_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Ha. zenon_intro zenon_H190. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_He1. zenon_intro zenon_H191. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_He2. zenon_intro zenon_He0. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H9f | zenon_intro zenon_H1d3 ]. % 0.82/1.02 apply (zenon_L47_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_Ha. zenon_intro zenon_H1d4. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_Haa. zenon_intro zenon_H1d5. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_Ha8. zenon_intro zenon_Ha9. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H4c | zenon_intro zenon_Ha3 ]. % 0.82/1.02 apply (zenon_L45_); trivial. % 0.82/1.02 apply (zenon_L133_); trivial. % 0.82/1.02 apply (zenon_L91_); trivial. % 0.82/1.02 apply (zenon_L135_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c6. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H198. zenon_intro zenon_H1c7. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H199. zenon_intro zenon_H197. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H76 | zenon_intro zenon_H18f ]. % 0.82/1.02 apply (zenon_L37_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H18f). zenon_intro zenon_Ha. zenon_intro zenon_H190. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H190). zenon_intro zenon_He1. zenon_intro zenon_H191. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H191). zenon_intro zenon_He2. zenon_intro zenon_He0. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H9f | zenon_intro zenon_H1d3 ]. % 0.82/1.02 apply (zenon_L137_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d3). zenon_intro zenon_Ha. zenon_intro zenon_H1d4. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d4). zenon_intro zenon_Haa. zenon_intro zenon_H1d5. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_Ha8. zenon_intro zenon_Ha9. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/1.02 apply (zenon_L132_); trivial. % 0.82/1.02 apply (zenon_L140_); trivial. % 0.82/1.02 apply (zenon_L91_); trivial. % 0.82/1.02 apply (zenon_L135_); trivial. % 0.82/1.02 apply (zenon_L143_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_Ha. zenon_intro zenon_H2aa. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H2aa). zenon_intro zenon_H1db. zenon_intro zenon_H2ab. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H2ab). zenon_intro zenon_H1dc. zenon_intro zenon_H1da. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H131 | zenon_intro zenon_H1ef ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H1d6 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H60 | zenon_intro zenon_H1c5 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H4c | zenon_intro zenon_Ha3 ]. % 0.82/1.02 apply (zenon_L45_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_Ha. zenon_intro zenon_Ha4. % 0.82/1.02 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H9a. zenon_intro zenon_Ha5. % 0.82/1.02 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H91. zenon_intro zenon_H92. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H51 | zenon_intro zenon_H65 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H90 | zenon_intro zenon_Hcd ]. % 0.82/1.02 apply (zenon_L51_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hc8 ]. % 0.82/1.02 apply (zenon_L144_); trivial. % 0.82/1.02 exact (zenon_Hc7 zenon_Hc8). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H61 | zenon_intro zenon_H63 ]. % 0.82/1.02 exact (zenon_H60 zenon_H61). % 0.82/1.02 exact (zenon_H62 zenon_H63). % 0.82/1.02 apply (zenon_L145_); trivial. % 0.82/1.02 apply (zenon_L146_); trivial. % 0.82/1.02 apply (zenon_L147_); trivial. % 0.82/1.02 apply (zenon_L155_); trivial. % 0.82/1.02 apply (zenon_L156_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_Ha. zenon_intro zenon_H359. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_H1f3. zenon_intro zenon_H35a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H1f4. zenon_intro zenon_H1f2. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H40 | zenon_intro zenon_H2a9 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H131 | zenon_intro zenon_H1ef ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H1d6 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H60 | zenon_intro zenon_H1c5 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.02 apply (zenon_L187_); trivial. % 0.82/1.02 apply (zenon_L189_); trivial. % 0.82/1.02 apply (zenon_L147_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_Ha. zenon_intro zenon_H1d8. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1a2. zenon_intro zenon_H1d9. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1a0. zenon_intro zenon_H1a1. % 0.82/1.02 apply (zenon_L129_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_Ha. zenon_intro zenon_H1f0. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1ca. zenon_intro zenon_H1f1. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1c8. zenon_intro zenon_H1c9. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H1d6 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H60 | zenon_intro zenon_H1c5 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.02 apply (zenon_L187_); trivial. % 0.82/1.02 apply (zenon_L135_); trivial. % 0.82/1.02 apply (zenon_L198_); trivial. % 0.82/1.02 apply (zenon_L143_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_Ha. zenon_intro zenon_H2aa. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H2aa). zenon_intro zenon_H1db. zenon_intro zenon_H2ab. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H2ab). zenon_intro zenon_H1dc. zenon_intro zenon_H1da. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H131 | zenon_intro zenon_H1ef ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H1d6 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H60 | zenon_intro zenon_H1c5 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.82/1.02 apply (zenon_L159_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Ha. zenon_intro zenon_H219. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H201. zenon_intro zenon_H21a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H202. zenon_intro zenon_H200. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H76 | zenon_intro zenon_H18f ]. % 0.82/1.02 apply (zenon_L154_); trivial. % 0.82/1.02 apply (zenon_L184_); trivial. % 0.82/1.02 apply (zenon_L145_); trivial. % 0.82/1.02 apply (zenon_L186_); trivial. % 0.82/1.02 apply (zenon_L189_); trivial. % 0.82/1.02 apply (zenon_L147_); trivial. % 0.82/1.02 apply (zenon_L155_); trivial. % 0.82/1.02 apply (zenon_L156_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_Ha. zenon_intro zenon_H35b. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H232. zenon_intro zenon_H35c. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H234. zenon_intro zenon_H233. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H42 | zenon_intro zenon_H35d ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_Hcf | zenon_intro zenon_H358 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H40 | zenon_intro zenon_H2a9 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H131 | zenon_intro zenon_H1ef ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H1d6 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H60 | zenon_intro zenon_H1c5 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.82/1.02 apply (zenon_L251_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Ha. zenon_intro zenon_H219. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H201. zenon_intro zenon_H21a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H202. zenon_intro zenon_H200. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H4c | zenon_intro zenon_Ha3 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.02 apply (zenon_L254_); trivial. % 0.82/1.02 apply (zenon_L44_); trivial. % 0.82/1.02 apply (zenon_L255_); trivial. % 0.82/1.02 apply (zenon_L259_); trivial. % 0.82/1.02 apply (zenon_L261_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c6. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H198. zenon_intro zenon_H1c7. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H199. zenon_intro zenon_H197. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.82/1.02 apply (zenon_L262_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Ha. zenon_intro zenon_H219. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H201. zenon_intro zenon_H21a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H202. zenon_intro zenon_H200. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.82/1.02 apply (zenon_L270_); trivial. % 0.82/1.02 apply (zenon_L276_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H124. zenon_intro zenon_H158. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H125. zenon_intro zenon_H126. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.82/1.02 apply (zenon_L262_); trivial. % 0.82/1.02 apply (zenon_L284_); trivial. % 0.82/1.02 apply (zenon_L261_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_Ha. zenon_intro zenon_H1d8. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1a2. zenon_intro zenon_H1d9. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1a0. zenon_intro zenon_H1a1. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H60 | zenon_intro zenon_H1c5 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.82/1.02 apply (zenon_L222_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Ha. zenon_intro zenon_H219. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H201. zenon_intro zenon_H21a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H202. zenon_intro zenon_H200. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.02 apply (zenon_L254_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H7a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H50. zenon_intro zenon_H7b. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H4f. zenon_intro zenon_H52. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.82/1.02 apply (zenon_L288_); trivial. % 0.82/1.02 apply (zenon_L293_); trivial. % 0.82/1.02 apply (zenon_L255_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H124. zenon_intro zenon_H158. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H125. zenon_intro zenon_H126. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.82/1.02 apply (zenon_L222_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Ha. zenon_intro zenon_H219. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H201. zenon_intro zenon_H21a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H202. zenon_intro zenon_H200. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.02 apply (zenon_L254_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H7a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H50. zenon_intro zenon_H7b. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H4f. zenon_intro zenon_H52. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.82/1.02 apply (zenon_L288_); trivial. % 0.82/1.02 apply (zenon_L295_); trivial. % 0.82/1.02 apply (zenon_L120_); trivial. % 0.82/1.02 apply (zenon_L186_); trivial. % 0.82/1.02 apply (zenon_L297_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c6. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H198. zenon_intro zenon_H1c7. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H199. zenon_intro zenon_H197. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.82/1.02 apply (zenon_L222_); trivial. % 0.82/1.02 apply (zenon_L299_); trivial. % 0.82/1.02 apply (zenon_L300_); trivial. % 0.82/1.02 apply (zenon_L297_); trivial. % 0.82/1.02 apply (zenon_L302_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_Ha. zenon_intro zenon_H2aa. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H2aa). zenon_intro zenon_H1db. zenon_intro zenon_H2ab. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H2ab). zenon_intro zenon_H1dc. zenon_intro zenon_H1da. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H131 | zenon_intro zenon_H1ef ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H1d6 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.82/1.02 apply (zenon_L262_); trivial. % 0.82/1.02 apply (zenon_L303_); trivial. % 0.82/1.02 apply (zenon_L145_); trivial. % 0.82/1.02 apply (zenon_L261_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_Ha. zenon_intro zenon_H1d8. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1a2. zenon_intro zenon_H1d9. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1a0. zenon_intro zenon_H1a1. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.82/1.02 apply (zenon_L222_); trivial. % 0.82/1.02 apply (zenon_L303_); trivial. % 0.82/1.02 apply (zenon_L145_); trivial. % 0.82/1.02 apply (zenon_L304_); trivial. % 0.82/1.02 apply (zenon_L156_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_Ha. zenon_intro zenon_H359. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_H1f3. zenon_intro zenon_H35a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H1f4. zenon_intro zenon_H1f2. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H40 | zenon_intro zenon_H2a9 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H131 | zenon_intro zenon_H1ef ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H1d6 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H60 | zenon_intro zenon_H1c5 ]. % 0.82/1.02 apply (zenon_L306_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c6. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H198. zenon_intro zenon_H1c7. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H199. zenon_intro zenon_H197. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.82/1.02 apply (zenon_L159_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Ha. zenon_intro zenon_H219. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H201. zenon_intro zenon_H21a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H202. zenon_intro zenon_H200. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.02 apply (zenon_L254_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H7a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H50. zenon_intro zenon_H7b. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H4f. zenon_intro zenon_H52. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.82/1.02 apply (zenon_L270_); trivial. % 0.82/1.02 apply (zenon_L312_); trivial. % 0.82/1.02 apply (zenon_L255_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H124. zenon_intro zenon_H158. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H125. zenon_intro zenon_H126. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.82/1.02 apply (zenon_L159_); trivial. % 0.82/1.02 apply (zenon_L284_); trivial. % 0.82/1.02 apply (zenon_L189_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_Ha. zenon_intro zenon_H1d8. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1a2. zenon_intro zenon_H1d9. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1a0. zenon_intro zenon_H1a1. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H60 | zenon_intro zenon_H1c5 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.82/1.02 apply (zenon_L222_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Ha. zenon_intro zenon_H219. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H201. zenon_intro zenon_H21a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H202. zenon_intro zenon_H200. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H1 | zenon_intro zenon_H8b ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.02 apply (zenon_L254_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H7a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H50. zenon_intro zenon_H7b. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H4f. zenon_intro zenon_H52. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.82/1.02 apply (zenon_L317_); trivial. % 0.82/1.02 apply (zenon_L293_); trivial. % 0.82/1.02 apply (zenon_L120_); trivial. % 0.82/1.02 apply (zenon_L319_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H124. zenon_intro zenon_H158. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H125. zenon_intro zenon_H126. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.82/1.02 apply (zenon_L159_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Ha. zenon_intro zenon_H219. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H201. zenon_intro zenon_H21a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H202. zenon_intro zenon_H200. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H1 | zenon_intro zenon_H8b ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.02 apply (zenon_L254_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H7a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H50. zenon_intro zenon_H7b. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H4f. zenon_intro zenon_H52. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.82/1.02 apply (zenon_L317_); trivial. % 0.82/1.02 apply (zenon_L320_); trivial. % 0.82/1.02 apply (zenon_L120_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Ha. zenon_intro zenon_H8c. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H80. zenon_intro zenon_H8d. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7e. zenon_intro zenon_H7f. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.02 apply (zenon_L254_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H7a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H50. zenon_intro zenon_H7b. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H4f. zenon_intro zenon_H52. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.82/1.02 apply (zenon_L318_); trivial. % 0.82/1.02 apply (zenon_L320_); trivial. % 0.82/1.02 apply (zenon_L255_); trivial. % 0.82/1.02 apply (zenon_L186_); trivial. % 0.82/1.02 apply (zenon_L297_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c6. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H198. zenon_intro zenon_H1c7. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H199. zenon_intro zenon_H197. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.82/1.02 apply (zenon_L159_); trivial. % 0.82/1.02 apply (zenon_L299_); trivial. % 0.82/1.02 apply (zenon_L300_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_Ha. zenon_intro zenon_H1b7. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H138. zenon_intro zenon_H1b8. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.82/1.02 apply (zenon_L332_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H124. zenon_intro zenon_H158. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H125. zenon_intro zenon_H126. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.82/1.02 apply (zenon_L222_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Ha. zenon_intro zenon_H219. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H201. zenon_intro zenon_H21a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H202. zenon_intro zenon_H200. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H1 | zenon_intro zenon_H8b ]. % 0.82/1.02 apply (zenon_L336_); trivial. % 0.82/1.02 apply (zenon_L340_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H195. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H161. zenon_intro zenon_H196. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.82/1.02 apply (zenon_L332_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H124. zenon_intro zenon_H158. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H125. zenon_intro zenon_H126. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.82/1.02 apply (zenon_L222_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Ha. zenon_intro zenon_H219. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H201. zenon_intro zenon_H21a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H202. zenon_intro zenon_H200. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H1 | zenon_intro zenon_H8b ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.82/1.02 apply (zenon_L4_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_Ha. zenon_intro zenon_H6e. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_Hf. zenon_intro zenon_H6f. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hc9 ]. % 0.82/1.02 apply (zenon_L279_); trivial. % 0.82/1.02 apply (zenon_L346_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H7a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H50. zenon_intro zenon_H7b. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H4f. zenon_intro zenon_H52. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.82/1.02 apply (zenon_L253_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_Ha. zenon_intro zenon_H6e. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_Hf. zenon_intro zenon_H6f. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hc9 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H1c | zenon_intro zenon_H2e ]. % 0.82/1.02 apply (zenon_L278_); trivial. % 0.82/1.02 apply (zenon_L311_); trivial. % 0.82/1.02 apply (zenon_L346_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_Ha. zenon_intro zenon_H8c. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H8c). zenon_intro zenon_H80. zenon_intro zenon_H8d. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H8d). zenon_intro zenon_H7e. zenon_intro zenon_H7f. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H5 | zenon_intro zenon_H6c ]. % 0.82/1.03 apply (zenon_L253_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H6c). zenon_intro zenon_Ha. zenon_intro zenon_H6e. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H6e). zenon_intro zenon_Hf. zenon_intro zenon_H6f. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H2c | zenon_intro zenon_H44 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hc9 ]. % 0.82/1.03 apply (zenon_L347_); trivial. % 0.82/1.03 apply (zenon_L346_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_Ha. zenon_intro zenon_H46. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H39. zenon_intro zenon_H47. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H37. zenon_intro zenon_H38. % 0.82/1.03 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hc9 ]. % 0.82/1.03 apply (zenon_L350_); trivial. % 0.82/1.03 apply (zenon_L346_); trivial. % 0.82/1.03 apply (zenon_L352_); trivial. % 0.82/1.03 apply (zenon_L302_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_Ha. zenon_intro zenon_H2aa. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H2aa). zenon_intro zenon_H1db. zenon_intro zenon_H2ab. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H2ab). zenon_intro zenon_H1dc. zenon_intro zenon_H1da. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H131 | zenon_intro zenon_H1ef ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H1d6 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H60 | zenon_intro zenon_H1c5 ]. % 0.82/1.03 apply (zenon_L306_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c6. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H198. zenon_intro zenon_H1c7. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H199. zenon_intro zenon_H197. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.03 apply (zenon_L358_); trivial. % 0.82/1.03 apply (zenon_L189_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_Ha. zenon_intro zenon_H1d8. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1a2. zenon_intro zenon_H1d9. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1a0. zenon_intro zenon_H1a1. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H60 | zenon_intro zenon_H1c5 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/1.03 apply (zenon_L356_); trivial. % 0.82/1.03 apply (zenon_L120_); trivial. % 0.82/1.03 apply (zenon_L145_); trivial. % 0.82/1.03 apply (zenon_L304_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c6. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H198. zenon_intro zenon_H1c7. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H199. zenon_intro zenon_H197. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.03 apply (zenon_L358_); trivial. % 0.82/1.03 apply (zenon_L304_); trivial. % 0.82/1.03 apply (zenon_L156_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_Ha. zenon_intro zenon_H35e. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H21d. zenon_intro zenon_H35f. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H35f). zenon_intro zenon_H21e. zenon_intro zenon_H21f. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_Hcf | zenon_intro zenon_H358 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H40 | zenon_intro zenon_H2a9 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H131 | zenon_intro zenon_H1ef ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H1d6 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H60 | zenon_intro zenon_H1c5 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.82/1.03 apply (zenon_L251_); trivial. % 0.82/1.03 apply (zenon_L359_); trivial. % 0.82/1.03 apply (zenon_L261_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c6. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H198. zenon_intro zenon_H1c7. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H199. zenon_intro zenon_H197. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.82/1.03 apply (zenon_L360_); trivial. % 0.82/1.03 apply (zenon_L219_); trivial. % 0.82/1.03 apply (zenon_L202_); trivial. % 0.82/1.03 apply (zenon_L368_); trivial. % 0.82/1.03 apply (zenon_L359_); trivial. % 0.82/1.03 apply (zenon_L370_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H195. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H161. zenon_intro zenon_H196. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.82/1.03 apply (zenon_L374_); trivial. % 0.82/1.03 apply (zenon_L370_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_Ha. zenon_intro zenon_H1b7. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H138. zenon_intro zenon_H1b8. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H1 | zenon_intro zenon_H8b ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.03 apply (zenon_L84_); trivial. % 0.82/1.03 apply (zenon_L202_); trivial. % 0.82/1.03 apply (zenon_L368_); trivial. % 0.82/1.03 apply (zenon_L378_); trivial. % 0.82/1.03 apply (zenon_L260_); trivial. % 0.82/1.03 apply (zenon_L381_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H195. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H161. zenon_intro zenon_H196. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.82/1.03 apply (zenon_L374_); trivial. % 0.82/1.03 apply (zenon_L381_); trivial. % 0.82/1.03 apply (zenon_L382_); trivial. % 0.82/1.03 apply (zenon_L302_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_Ha. zenon_intro zenon_H2aa. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H2aa). zenon_intro zenon_H1db. zenon_intro zenon_H2ab. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H2ab). zenon_intro zenon_H1dc. zenon_intro zenon_H1da. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H131 | zenon_intro zenon_H1ef ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/1.03 apply (zenon_L220_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H11f). zenon_intro zenon_Ha. zenon_intro zenon_H121. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H121). zenon_intro zenon_Hd5. zenon_intro zenon_H122. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H122). zenon_intro zenon_Hd6. zenon_intro zenon_Hd4. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.82/1.03 apply (zenon_L217_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_Ha. zenon_intro zenon_H11b. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10c. zenon_intro zenon_H11c. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H11d. zenon_intro zenon_H10b. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_Ha7 | zenon_intro zenon_H24f ]. % 0.82/1.03 apply (zenon_L152_); trivial. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H240 | zenon_intro zenon_H10a ]. % 0.82/1.03 apply (zenon_L249_); trivial. % 0.82/1.03 apply (zenon_L361_); trivial. % 0.82/1.03 apply (zenon_L384_); trivial. % 0.82/1.03 apply (zenon_L145_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_Ha. zenon_intro zenon_H1b7. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H138. zenon_intro zenon_H1b8. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H12f | zenon_intro zenon_H192 ]. % 0.82/1.03 apply (zenon_L387_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_Ha. zenon_intro zenon_H193. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H14a. zenon_intro zenon_H194. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H14b. zenon_intro zenon_H149. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.82/1.03 apply (zenon_L217_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H119). zenon_intro zenon_Ha. zenon_intro zenon_H11b. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H11b). zenon_intro zenon_H10c. zenon_intro zenon_H11c. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H11c). zenon_intro zenon_H11d. zenon_intro zenon_H10b. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H36 | zenon_intro zenon_H182 ]. % 0.82/1.03 apply (zenon_L389_); trivial. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H17c | zenon_intro zenon_Hd0 ]. % 0.82/1.03 apply (zenon_L106_); trivial. % 0.82/1.03 exact (zenon_Hcf zenon_Hd0). % 0.82/1.03 apply (zenon_L359_); trivial. % 0.82/1.03 apply (zenon_L145_); trivial. % 0.82/1.03 apply (zenon_L156_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_Ha. zenon_intro zenon_H359. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_H1f3. zenon_intro zenon_H35a. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H1f4. zenon_intro zenon_H1f2. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H131 | zenon_intro zenon_H1ef ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H1d6 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.82/1.03 apply (zenon_L159_); trivial. % 0.82/1.03 apply (zenon_L359_); trivial. % 0.82/1.03 apply (zenon_L189_); trivial. % 0.82/1.03 apply (zenon_L382_); trivial. % 0.82/1.03 apply (zenon_L302_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_Ha. zenon_intro zenon_H360. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H360). zenon_intro zenon_H291. zenon_intro zenon_H361. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H361). zenon_intro zenon_H292. zenon_intro zenon_H290. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H6a | zenon_intro zenon_H357 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H42 | zenon_intro zenon_H35d ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_Hcf | zenon_intro zenon_H358 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H131 | zenon_intro zenon_H1ef ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H1d6 ]. % 0.82/1.03 apply (zenon_L406_); trivial. % 0.82/1.03 apply (zenon_L408_); trivial. % 0.82/1.03 apply (zenon_L411_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_Ha. zenon_intro zenon_H359. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_H1f3. zenon_intro zenon_H35a. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H1f4. zenon_intro zenon_H1f2. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H1d6 ]. % 0.82/1.03 apply (zenon_L413_); trivial. % 0.82/1.03 apply (zenon_L417_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_Ha. zenon_intro zenon_H35e. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H21d. zenon_intro zenon_H35f. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H35f). zenon_intro zenon_H21e. zenon_intro zenon_H21f. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H131 | zenon_intro zenon_H1ef ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H1d6 ]. % 0.82/1.03 apply (zenon_L427_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_Ha. zenon_intro zenon_H1d8. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1a2. zenon_intro zenon_H1d9. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1a0. zenon_intro zenon_H1a1. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H60 | zenon_intro zenon_H1c5 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.03 apply (zenon_L429_); trivial. % 0.82/1.03 apply (zenon_L426_); trivial. % 0.82/1.03 apply (zenon_L405_); trivial. % 0.82/1.03 apply (zenon_L430_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_Ha. zenon_intro zenon_H35b. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H232. zenon_intro zenon_H35c. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H234. zenon_intro zenon_H233. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H42 | zenon_intro zenon_H35d ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_Hcf | zenon_intro zenon_H358 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H40 | zenon_intro zenon_H2a9 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H1d6 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H60 | zenon_intro zenon_H1c5 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H4c | zenon_intro zenon_Ha3 ]. % 0.82/1.03 apply (zenon_L393_); trivial. % 0.82/1.03 apply (zenon_L250_); trivial. % 0.82/1.03 apply (zenon_L404_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c6. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H198. zenon_intro zenon_H1c7. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H199. zenon_intro zenon_H197. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.03 apply (zenon_L391_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H7a. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H50. zenon_intro zenon_H7b. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H4f. zenon_intro zenon_H52. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_Hfc | zenon_intro zenon_H119 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hc9 ]. % 0.82/1.03 apply (zenon_L266_); trivial. % 0.82/1.03 apply (zenon_L432_); trivial. % 0.82/1.03 apply (zenon_L407_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H124. zenon_intro zenon_H158. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H125. zenon_intro zenon_H126. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.03 apply (zenon_L391_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H7a. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H50. zenon_intro zenon_H7b. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H4f. zenon_intro zenon_H52. % 0.82/1.03 apply (zenon_or_s _ _ zenon_Hce); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Hc9 ]. % 0.82/1.03 apply (zenon_L433_); trivial. % 0.82/1.03 apply (zenon_L432_); trivial. % 0.82/1.03 apply (zenon_L408_); trivial. % 0.82/1.03 apply (zenon_L434_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_Ha. zenon_intro zenon_H359. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_H1f3. zenon_intro zenon_H35a. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H1f4. zenon_intro zenon_H1f2. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H40 | zenon_intro zenon_H2a9 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H131 | zenon_intro zenon_H1ef ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H1d6 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H60 | zenon_intro zenon_H1c5 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.03 apply (zenon_L305_); trivial. % 0.82/1.03 apply (zenon_L437_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c6. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H198. zenon_intro zenon_H1c7. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H199. zenon_intro zenon_H197. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.82/1.03 apply (zenon_L159_); trivial. % 0.82/1.03 apply (zenon_L439_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H124. zenon_intro zenon_H158. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H125. zenon_intro zenon_H126. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.82/1.03 apply (zenon_L159_); trivial. % 0.82/1.03 apply (zenon_L440_); trivial. % 0.82/1.03 apply (zenon_L189_); trivial. % 0.82/1.03 apply (zenon_L417_); trivial. % 0.82/1.03 apply (zenon_L443_); trivial. % 0.82/1.03 apply (zenon_L434_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_Ha. zenon_intro zenon_H35e. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H21d. zenon_intro zenon_H35f. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H35f). zenon_intro zenon_H21e. zenon_intro zenon_H21f. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_Hcf | zenon_intro zenon_H358 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H40 | zenon_intro zenon_H2a9 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H1d6 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H60 | zenon_intro zenon_H1c5 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H4c | zenon_intro zenon_Ha3 ]. % 0.82/1.03 apply (zenon_L393_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_Ha. zenon_intro zenon_Ha4. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H9a. zenon_intro zenon_Ha5. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H91. zenon_intro zenon_H92. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/1.03 apply (zenon_L428_); trivial. % 0.82/1.03 apply (zenon_L447_); trivial. % 0.82/1.03 apply (zenon_L449_); trivial. % 0.82/1.03 apply (zenon_L186_); trivial. % 0.82/1.03 apply (zenon_L404_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c6. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H198. zenon_intro zenon_H1c7. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H199. zenon_intro zenon_H197. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/1.03 apply (zenon_L428_); trivial. % 0.82/1.03 apply (zenon_L450_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H195. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H161. zenon_intro zenon_H196. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/1.03 apply (zenon_L373_); trivial. % 0.82/1.03 apply (zenon_L450_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H156). zenon_intro zenon_Ha. zenon_intro zenon_H157. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H157). zenon_intro zenon_H124. zenon_intro zenon_H158. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H158). zenon_intro zenon_H125. zenon_intro zenon_H126. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/1.03 apply (zenon_L452_); trivial. % 0.82/1.03 apply (zenon_L450_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_Ha. zenon_intro zenon_H1d8. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1a2. zenon_intro zenon_H1d9. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1a0. zenon_intro zenon_H1a1. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H60 | zenon_intro zenon_H1c5 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.03 apply (zenon_L429_); trivial. % 0.82/1.03 apply (zenon_L404_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c6. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H198. zenon_intro zenon_H1c7. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H199. zenon_intro zenon_H197. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/1.03 apply (zenon_L428_); trivial. % 0.82/1.03 apply (zenon_L128_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H195. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H161. zenon_intro zenon_H196. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/1.03 apply (zenon_L373_); trivial. % 0.82/1.03 apply (zenon_L457_); trivial. % 0.82/1.03 apply (zenon_L359_); trivial. % 0.82/1.03 apply (zenon_L458_); trivial. % 0.82/1.03 apply (zenon_L404_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_Ha. zenon_intro zenon_H2aa. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H2aa). zenon_intro zenon_H1db. zenon_intro zenon_H2ab. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H2ab). zenon_intro zenon_H1dc. zenon_intro zenon_H1da. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H1d6 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H60 | zenon_intro zenon_H1c5 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H4c | zenon_intro zenon_Ha3 ]. % 0.82/1.03 apply (zenon_L393_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_Ha. zenon_intro zenon_Ha4. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H9a. zenon_intro zenon_Ha5. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H91. zenon_intro zenon_H92. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/1.03 apply (zenon_L428_); trivial. % 0.82/1.03 apply (zenon_L459_); trivial. % 0.82/1.03 apply (zenon_L145_); trivial. % 0.82/1.03 apply (zenon_L186_); trivial. % 0.82/1.03 apply (zenon_L404_); trivial. % 0.82/1.03 apply (zenon_L461_); trivial. % 0.82/1.03 apply (zenon_L463_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_Ha. zenon_intro zenon_H359. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_H1f3. zenon_intro zenon_H35a. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H1f4. zenon_intro zenon_H1f2. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.03 apply (zenon_L391_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H78). zenon_intro zenon_Ha. zenon_intro zenon_H7a. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H50. zenon_intro zenon_H7b. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H4f. zenon_intro zenon_H52. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H1c | zenon_intro zenon_H2e ]. % 0.82/1.03 apply (zenon_L200_); trivial. % 0.82/1.03 apply (zenon_L311_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H355). zenon_intro zenon_Ha. zenon_intro zenon_H362. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H362). zenon_intro zenon_H2c6. zenon_intro zenon_H363. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H363). zenon_intro zenon_H2c7. zenon_intro zenon_H2c5. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2e1); [ zenon_intro zenon_Hc7 | zenon_intro zenon_H356 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H6a | zenon_intro zenon_H357 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_Hcf | zenon_intro zenon_H358 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H40 | zenon_intro zenon_H2a9 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H131 | zenon_intro zenon_H1ef ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H1d6 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H60 | zenon_intro zenon_H1c5 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.03 apply (zenon_L479_); trivial. % 0.82/1.03 apply (zenon_L481_); trivial. % 0.82/1.03 apply (zenon_L147_); trivial. % 0.82/1.03 apply (zenon_L482_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_Ha. zenon_intro zenon_H1f0. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1ca. zenon_intro zenon_H1f1. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1c8. zenon_intro zenon_H1c9. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H1d6 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H60 | zenon_intro zenon_H1c5 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.03 apply (zenon_L479_); trivial. % 0.82/1.03 apply (zenon_L135_); trivial. % 0.82/1.03 apply (zenon_L498_); trivial. % 0.82/1.03 apply (zenon_L482_); trivial. % 0.82/1.03 apply (zenon_L500_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_Ha. zenon_intro zenon_H359. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_H1f3. zenon_intro zenon_H35a. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H1f4. zenon_intro zenon_H1f2. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H131 | zenon_intro zenon_H1ef ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H1d6 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H60 | zenon_intro zenon_H1c5 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.03 apply (zenon_L501_); trivial. % 0.82/1.03 apply (zenon_L189_); trivial. % 0.82/1.03 apply (zenon_L147_); trivial. % 0.82/1.03 apply (zenon_L482_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1ef). zenon_intro zenon_Ha. zenon_intro zenon_H1f0. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1f0). zenon_intro zenon_H1ca. zenon_intro zenon_H1f1. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_H1c8. zenon_intro zenon_H1c9. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H1d6 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H60 | zenon_intro zenon_H1c5 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.03 apply (zenon_L501_); trivial. % 0.82/1.03 apply (zenon_L135_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c6. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H198. zenon_intro zenon_H1c7. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H199. zenon_intro zenon_H197. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_H87 | zenon_intro zenon_H156 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fb | zenon_intro zenon_H218 ]. % 0.82/1.03 apply (zenon_L159_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Ha. zenon_intro zenon_H219. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H201. zenon_intro zenon_H21a. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H202. zenon_intro zenon_H200. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H76 | zenon_intro zenon_H18f ]. % 0.82/1.03 apply (zenon_L508_); trivial. % 0.82/1.03 apply (zenon_L197_); trivial. % 0.82/1.03 apply (zenon_L91_); trivial. % 0.82/1.03 apply (zenon_L135_); trivial. % 0.82/1.03 apply (zenon_L482_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_Ha. zenon_intro zenon_H35b. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H232. zenon_intro zenon_H35c. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H234. zenon_intro zenon_H233. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_Hcf | zenon_intro zenon_H358 ]. % 0.82/1.03 apply (zenon_L534_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_Ha. zenon_intro zenon_H359. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_H1f3. zenon_intro zenon_H35a. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H1f4. zenon_intro zenon_H1f2. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H131 | zenon_intro zenon_H1ef ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H1d6 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1c3); [ zenon_intro zenon_H60 | zenon_intro zenon_H1c5 ]. % 0.82/1.03 apply (zenon_L535_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1c5). zenon_intro zenon_Ha. zenon_intro zenon_H1c6. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1c6). zenon_intro zenon_H198. zenon_intro zenon_H1c7. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1c7). zenon_intro zenon_H199. zenon_intro zenon_H197. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ]. % 0.82/1.03 apply (zenon_L511_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H195. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H161. zenon_intro zenon_H196. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H12f | zenon_intro zenon_H192 ]. % 0.82/1.03 apply (zenon_L544_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H192). zenon_intro zenon_Ha. zenon_intro zenon_H193. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H193). zenon_intro zenon_H14a. zenon_intro zenon_H194. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H194). zenon_intro zenon_H14b. zenon_intro zenon_H149. % 0.82/1.03 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H4c | zenon_intro zenon_Ha3 ]. % 0.82/1.03 apply (zenon_L160_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Ha3). zenon_intro zenon_Ha. zenon_intro zenon_Ha4. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_H9a. zenon_intro zenon_Ha5. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Ha5). zenon_intro zenon_H91. zenon_intro zenon_H92. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H2a | zenon_intro zenon_H11f ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H3 | zenon_intro zenon_H78 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H2c | zenon_intro zenon_H44 ]. % 0.82/1.03 apply (zenon_L525_); trivial. % 0.82/1.03 apply (zenon_L539_); trivial. % 0.82/1.03 apply (zenon_L543_); trivial. % 0.82/1.03 apply (zenon_L357_); trivial. % 0.82/1.03 apply (zenon_L189_); trivial. % 0.82/1.03 apply (zenon_L546_); trivial. % 0.82/1.03 apply (zenon_L302_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H356). zenon_intro zenon_Ha. zenon_intro zenon_H360. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H360). zenon_intro zenon_H291. zenon_intro zenon_H361. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H361). zenon_intro zenon_H292. zenon_intro zenon_H290. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2e3); [ zenon_intro zenon_H6a | zenon_intro zenon_H357 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H42 | zenon_intro zenon_H35d ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_Hcf | zenon_intro zenon_H358 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H131 | zenon_intro zenon_H1ef ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H1d6 ]. % 0.82/1.03 apply (zenon_L406_); trivial. % 0.82/1.03 apply (zenon_L549_); trivial. % 0.82/1.03 apply (zenon_L411_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_Ha. zenon_intro zenon_H359. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_H1f3. zenon_intro zenon_H35a. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H1f4. zenon_intro zenon_H1f2. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H131 | zenon_intro zenon_H1ef ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H1d6 ]. % 0.82/1.03 apply (zenon_L413_); trivial. % 0.82/1.03 apply (zenon_L549_); trivial. % 0.82/1.03 apply (zenon_L411_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_Ha. zenon_intro zenon_H35e. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H21d. zenon_intro zenon_H35f. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H35f). zenon_intro zenon_H21e. zenon_intro zenon_H21f. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H131 | zenon_intro zenon_H1ef ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2ec); [ zenon_intro zenon_H4a | zenon_intro zenon_H1d6 ]. % 0.82/1.03 apply (zenon_L427_); trivial. % 0.82/1.03 apply (zenon_L550_); trivial. % 0.82/1.03 apply (zenon_L430_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H357). zenon_intro zenon_Ha. zenon_intro zenon_H35b. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H35b). zenon_intro zenon_H232. zenon_intro zenon_H35c. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H35c). zenon_intro zenon_H234. zenon_intro zenon_H233. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2e5); [ zenon_intro zenon_H42 | zenon_intro zenon_H35d ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_Hcf | zenon_intro zenon_H358 ]. % 0.82/1.03 apply (zenon_L556_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_Ha. zenon_intro zenon_H359. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_H1f3. zenon_intro zenon_H35a. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H1f4. zenon_intro zenon_H1f2. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H131 | zenon_intro zenon_H1ef ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.03 apply (zenon_L557_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_Ha. zenon_intro zenon_H1b7. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H138. zenon_intro zenon_H1b8. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ]. % 0.82/1.03 apply (zenon_L564_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H195. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H161. zenon_intro zenon_H196. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H9f | zenon_intro zenon_H1d3 ]. % 0.82/1.03 apply (zenon_L571_); trivial. % 0.82/1.03 apply (zenon_L573_); trivial. % 0.82/1.03 apply (zenon_L577_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H35d). zenon_intro zenon_Ha. zenon_intro zenon_H35e. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H35e). zenon_intro zenon_H21d. zenon_intro zenon_H35f. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H35f). zenon_intro zenon_H21e. zenon_intro zenon_H21f. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2e7); [ zenon_intro zenon_Hcf | zenon_intro zenon_H358 ]. % 0.82/1.03 apply (zenon_L556_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H358). zenon_intro zenon_Ha. zenon_intro zenon_H359. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H359). zenon_intro zenon_H1f3. zenon_intro zenon_H35a. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H35a). zenon_intro zenon_H1f4. zenon_intro zenon_H1f2. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H2dc); [ zenon_intro zenon_H131 | zenon_intro zenon_H1ef ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H62 | zenon_intro zenon_H1b6 ]. % 0.82/1.03 apply (zenon_L557_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1b6). zenon_intro zenon_Ha. zenon_intro zenon_H1b7. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_H138. zenon_intro zenon_H1b8. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1b8). zenon_intro zenon_H136. zenon_intro zenon_H137. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H152 | zenon_intro zenon_H18e ]. % 0.82/1.03 apply (zenon_L564_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H18e). zenon_intro zenon_Ha. zenon_intro zenon_H195. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H195). zenon_intro zenon_H161. zenon_intro zenon_H196. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H196). zenon_intro zenon_H15f. zenon_intro zenon_H160. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1d7); [ zenon_intro zenon_H9f | zenon_intro zenon_H1d3 ]. % 0.82/1.03 apply (zenon_L571_); trivial. % 0.82/1.03 apply (zenon_L578_); trivial. % 0.82/1.03 apply (zenon_L579_); trivial. % 0.82/1.03 Qed. % 0.82/1.03 % SZS output end Proof % 0.82/1.03 (* END-PROOF *) % 0.82/1.03 nodes searched: 35752 % 0.82/1.03 max branch formulas: 458 % 0.82/1.03 proof nodes created: 4609 % 0.82/1.03 formulas created: 35426 % 0.82/1.03 %------------------------------------------------------------------------------