%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN499+1 : TPTP v8.1.0. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n027.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 13:53:38 EDT 2022 % Result : Theorem 0.61s 0.80s % Output : Proof 0.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : SYN499+1 : TPTP v8.1.0. Released v2.1.0. % 0.11/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n027.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 : Tue Jul 12 00:12:34 EDT 2022 % 0.12/0.33 % CPUTime : % 0.61/0.80 (* PROOF-FOUND *) % 0.61/0.80 % SZS status Theorem % 0.61/0.80 (* BEGIN-PROOF *) % 0.61/0.80 % SZS output start Proof % 0.61/0.80 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((c2_1 (a123))/\((~(c0_1 (a123)))/\(~(c1_1 (a123)))))))/\(((~(hskp1))\/((ndr1_0)/\((c1_1 (a124))/\((c2_1 (a124))/\(~(c3_1 (a124)))))))/\(((~(hskp2))\/((ndr1_0)/\((c1_1 (a125))/\((c2_1 (a125))/\(~(c0_1 (a125)))))))/\(((~(hskp3))\/((ndr1_0)/\((c1_1 (a127))/\((~(c2_1 (a127)))/\(~(c3_1 (a127)))))))/\(((~(hskp4))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(~(c3_1 (a128)))))))/\(((~(hskp5))\/((ndr1_0)/\((~(c0_1 (a130)))/\((~(c1_1 (a130)))/\(~(c3_1 (a130)))))))/\(((~(hskp6))\/((ndr1_0)/\((~(c0_1 (a131)))/\((~(c1_1 (a131)))/\(~(c2_1 (a131)))))))/\(((~(hskp7))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c2_1 (a132)))))))/\(((~(hskp8))\/((ndr1_0)/\((c2_1 (a134))/\((~(c0_1 (a134)))/\(~(c3_1 (a134)))))))/\(((~(hskp9))\/((ndr1_0)/\((c0_1 (a138))/\((c1_1 (a138))/\(~(c2_1 (a138)))))))/\(((~(hskp10))\/((ndr1_0)/\((c0_1 (a140))/\((~(c2_1 (a140)))/\(~(c3_1 (a140)))))))/\(((~(hskp11))\/((ndr1_0)/\((~(c1_1 (a141)))/\((~(c2_1 (a141)))/\(~(c3_1 (a141)))))))/\(((~(hskp12))\/((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142)))))))/\(((~(hskp13))\/((ndr1_0)/\((c2_1 (a143))/\((c3_1 (a143))/\(~(c1_1 (a143)))))))/\(((~(hskp14))\/((ndr1_0)/\((c0_1 (a147))/\((~(c1_1 (a147)))/\(~(c3_1 (a147)))))))/\(((~(hskp15))\/((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153)))))))/\(((~(hskp16))\/((ndr1_0)/\((c1_1 (a154))/\((c3_1 (a154))/\(~(c0_1 (a154)))))))/\(((~(hskp17))\/((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155)))))))/\(((~(hskp18))\/((ndr1_0)/\((c3_1 (a160))/\((~(c1_1 (a160)))/\(~(c2_1 (a160)))))))/\(((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164)))))))/\(((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c3_1 (a168)))))))/\(((~(hskp21))\/((ndr1_0)/\((c0_1 (a170))/\((c2_1 (a170))/\(~(c1_1 (a170)))))))/\(((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176)))))))/\(((~(hskp23))\/((ndr1_0)/\((c2_1 (a179))/\((~(c1_1 (a179)))/\(~(c3_1 (a179)))))))/\(((~(hskp24))\/((ndr1_0)/\((~(c0_1 (a182)))/\((~(c2_1 (a182)))/\(~(c3_1 (a182)))))))/\(((~(hskp25))\/((ndr1_0)/\((c3_1 (a189))/\((~(c0_1 (a189)))/\(~(c1_1 (a189)))))))/\(((~(hskp26))\/((ndr1_0)/\((c0_1 (a225))/\((c2_1 (a225))/\(~(c3_1 (a225)))))))/\(((~(hskp27))\/((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122))))))/\(((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133))))))/\(((~(hskp29))\/((ndr1_0)/\((c0_1 (a136))/\((c1_1 (a136))/\(c2_1 (a136))))))/\(((~(hskp30))\/((ndr1_0)/\((c0_1 (a167))/\((c1_1 (a167))/\(c3_1 (a167))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(forall X3 : zenon_U, ((ndr1_0)->((c2_1 X3)\/((c3_1 X3)\/(~(c0_1 X3))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp27)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp0)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp1)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp1)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp3)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(hskp4)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c3_1 X19)\/((~(c0_1 X19))\/(~(c2_1 X19))))))\/(hskp27)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(hskp5)))/\(((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))))/\(((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))))/\(((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/(hskp6)))/\(((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7)))/\(((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((hskp28)\/(hskp8)))/\(((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(c3_1 X33)))))\/((forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp8)))/\(((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(c3_1 X33)))))\/((hskp29)\/(hskp7)))/\(((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(c3_1 X33)))))\/((hskp9)\/(hskp7)))/\(((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(c3_1 X33)))))\/((hskp10)\/(hskp11)))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(hskp12)))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(hskp13)))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp28)))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((hskp28)\/(hskp3)))/\(((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp14)))/\(((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c0_1 X51)\/((~(c1_1 X51))\/(~(c2_1 X51))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))))/\(((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp29)))/\(((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c3_1 X19)\/((~(c0_1 X19))\/(~(c2_1 X19))))))\/(hskp12)))/\(((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp14)\/(hskp7)))/\(((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((hskp10)\/(hskp15)))/\(((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34))))))))/\(((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp16)))/\(((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((~(c1_1 X21))\/(~(c2_1 X21))))))))/\(((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))))/\(((forall X51 : zenon_U, ((ndr1_0)->((c0_1 X51)\/((~(c1_1 X51))\/(~(c2_1 X51))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/(forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))))/\(((forall X73 : zenon_U, ((ndr1_0)->((c0_1 X73)\/((~(c1_1 X73))\/(~(c3_1 X73))))))\/((hskp17)\/(hskp0)))/\(((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76))))))))/\(((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp29)\/(hskp7)))/\(((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp0)\/(hskp18)))/\(((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(c3_1 X79)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12)))/\(((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(c3_1 X79)))))\/((hskp2)\/(hskp16)))/\(((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/((hskp19)\/(hskp17)))/\(((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))))/\(((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/((forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp6)))/\(((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/((hskp30)\/(hskp20)))/\(((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7)))/\(((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((hskp21)\/(hskp6)))/\(((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((hskp3)\/(hskp15)))/\(((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((hskp0)\/(hskp7)))/\(((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76))))))))/\(((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp22)\/(hskp7)))/\(((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp8)\/(hskp23)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp9)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))))/\(((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp15)\/(hskp24)))/\(((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp9)\/(hskp22)))/\(((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/((hskp10)\/(hskp18)))/\(((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp1)\/(hskp3)))/\(((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6)))/\(((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp17)\/(hskp13)))/\(((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp17)\/(hskp24)))/\(((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp15)\/(hskp13)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/((hskp12)\/(hskp11)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/((hskp7)\/(hskp24)))/\(((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((hskp27)\/(hskp19)))/\(((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp22))/\(((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((hskp14)\/(hskp23)))/\(((forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/((hskp14)\/(hskp25)))/\(((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76))))))\/((hskp22)\/(hskp10)))/\(((forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76))))))\/((hskp2)\/(hskp19)))/\(((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp9)\/(hskp8)))/\(((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp3)\/(hskp13)))/\(((hskp30)\/((hskp9)\/(hskp6)))/\(((hskp27)\/((hskp3)\/(hskp15)))/\(((hskp21)\/((hskp20)\/(hskp6)))/\(((hskp26)\/((hskp20)\/(hskp15)))/\(((hskp12)\/((hskp19)\/(hskp13)))/\((hskp2)\/((hskp19)\/(hskp8)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 0.61/0.80 Proof. % 0.61/0.80 assert (zenon_L1_ : (~(hskp12)) -> (hskp12) -> False). % 0.61/0.80 do 0 intro. intros zenon_H1 zenon_H2. % 0.61/0.80 exact (zenon_H1 zenon_H2). % 0.61/0.80 (* end of lemma zenon_L1_ *) % 0.61/0.80 assert (zenon_L2_ : (~(hskp19)) -> (hskp19) -> False). % 0.61/0.80 do 0 intro. intros zenon_H3 zenon_H4. % 0.61/0.80 exact (zenon_H3 zenon_H4). % 0.61/0.80 (* end of lemma zenon_L2_ *) % 0.61/0.80 assert (zenon_L3_ : (~(hskp13)) -> (hskp13) -> False). % 0.61/0.80 do 0 intro. intros zenon_H5 zenon_H6. % 0.61/0.80 exact (zenon_H5 zenon_H6). % 0.61/0.80 (* end of lemma zenon_L3_ *) % 0.61/0.80 assert (zenon_L4_ : ((hskp12)\/((hskp19)\/(hskp13))) -> (~(hskp12)) -> (~(hskp19)) -> (~(hskp13)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H7 zenon_H1 zenon_H3 zenon_H5. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H8 ]. % 0.61/0.80 exact (zenon_H1 zenon_H2). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_H4 | zenon_intro zenon_H6 ]. % 0.61/0.80 exact (zenon_H3 zenon_H4). % 0.61/0.80 exact (zenon_H5 zenon_H6). % 0.61/0.80 (* end of lemma zenon_L4_ *) % 0.61/0.80 assert (zenon_L5_ : (~(ndr1_0)) -> (ndr1_0) -> False). % 0.61/0.80 do 0 intro. intros zenon_H9 zenon_Ha. % 0.61/0.80 exact (zenon_H9 zenon_Ha). % 0.61/0.80 (* end of lemma zenon_L5_ *) % 0.61/0.80 assert (zenon_L6_ : (forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))) -> (ndr1_0) -> (~(c2_1 (a164))) -> (c1_1 (a164)) -> (c3_1 (a164)) -> False). % 0.61/0.80 do 0 intro. intros zenon_Hb zenon_Ha zenon_Hc zenon_Hd zenon_He. % 0.61/0.80 generalize (zenon_Hb (a164)). zenon_intro zenon_Hf. % 0.61/0.80 apply (zenon_imply_s _ _ zenon_Hf); [ zenon_intro zenon_H9 | zenon_intro zenon_H10 ]. % 0.61/0.80 exact (zenon_H9 zenon_Ha). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H10); [ zenon_intro zenon_H12 | zenon_intro zenon_H11 ]. % 0.61/0.80 exact (zenon_Hc zenon_H12). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H11); [ zenon_intro zenon_H14 | zenon_intro zenon_H13 ]. % 0.61/0.80 exact (zenon_H14 zenon_Hd). % 0.61/0.80 exact (zenon_H13 zenon_He). % 0.61/0.80 (* end of lemma zenon_L6_ *) % 0.61/0.80 assert (zenon_L7_ : (~(hskp15)) -> (hskp15) -> False). % 0.61/0.80 do 0 intro. intros zenon_H15 zenon_H16. % 0.61/0.80 exact (zenon_H15 zenon_H16). % 0.61/0.80 (* end of lemma zenon_L7_ *) % 0.61/0.80 assert (zenon_L8_ : ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp15)\/(hskp13))) -> (c3_1 (a164)) -> (c1_1 (a164)) -> (~(c2_1 (a164))) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp13)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H17 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H15 zenon_H5. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H17); [ zenon_intro zenon_Hb | zenon_intro zenon_H18 ]. % 0.61/0.80 apply (zenon_L6_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H18); [ zenon_intro zenon_H16 | zenon_intro zenon_H6 ]. % 0.61/0.80 exact (zenon_H15 zenon_H16). % 0.61/0.80 exact (zenon_H5 zenon_H6). % 0.61/0.80 (* end of lemma zenon_L8_ *) % 0.61/0.80 assert (zenon_L9_ : (forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74)))))) -> (ndr1_0) -> (~(c0_1 (a153))) -> (c2_1 (a153)) -> (c3_1 (a153)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H19 zenon_Ha zenon_H1a zenon_H1b zenon_H1c. % 0.61/0.80 generalize (zenon_H19 (a153)). zenon_intro zenon_H1d. % 0.61/0.80 apply (zenon_imply_s _ _ zenon_H1d); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e ]. % 0.61/0.80 exact (zenon_H9 zenon_Ha). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1e); [ zenon_intro zenon_H20 | zenon_intro zenon_H1f ]. % 0.61/0.80 exact (zenon_H1a zenon_H20). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H1f); [ zenon_intro zenon_H22 | zenon_intro zenon_H21 ]. % 0.61/0.80 exact (zenon_H22 zenon_H1b). % 0.61/0.80 exact (zenon_H21 zenon_H1c). % 0.61/0.80 (* end of lemma zenon_L9_ *) % 0.61/0.80 assert (zenon_L10_ : (~(hskp0)) -> (hskp0) -> False). % 0.61/0.80 do 0 intro. intros zenon_H23 zenon_H24. % 0.61/0.80 exact (zenon_H23 zenon_H24). % 0.61/0.80 (* end of lemma zenon_L10_ *) % 0.61/0.80 assert (zenon_L11_ : (~(hskp18)) -> (hskp18) -> False). % 0.61/0.80 do 0 intro. intros zenon_H25 zenon_H26. % 0.61/0.80 exact (zenon_H25 zenon_H26). % 0.61/0.80 (* end of lemma zenon_L11_ *) % 0.61/0.80 assert (zenon_L12_ : ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp0)\/(hskp18))) -> (c3_1 (a153)) -> (c2_1 (a153)) -> (~(c0_1 (a153))) -> (ndr1_0) -> (~(hskp0)) -> (~(hskp18)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H27 zenon_H1c zenon_H1b zenon_H1a zenon_Ha zenon_H23 zenon_H25. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H19 | zenon_intro zenon_H28 ]. % 0.61/0.80 apply (zenon_L9_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H24 | zenon_intro zenon_H26 ]. % 0.61/0.80 exact (zenon_H23 zenon_H24). % 0.61/0.80 exact (zenon_H25 zenon_H26). % 0.61/0.80 (* end of lemma zenon_L12_ *) % 0.61/0.80 assert (zenon_L13_ : (forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40)))))) -> (ndr1_0) -> (~(c2_1 (a160))) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22)))))) -> (~(c1_1 (a160))) -> (c3_1 (a160)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H29 zenon_Ha zenon_H2a zenon_H2b zenon_H2c zenon_H2d. % 0.61/0.80 generalize (zenon_H29 (a160)). zenon_intro zenon_H2e. % 0.61/0.80 apply (zenon_imply_s _ _ zenon_H2e); [ zenon_intro zenon_H9 | zenon_intro zenon_H2f ]. % 0.61/0.80 exact (zenon_H9 zenon_Ha). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H31 | zenon_intro zenon_H30 ]. % 0.61/0.80 exact (zenon_H2a zenon_H31). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H33 | zenon_intro zenon_H32 ]. % 0.61/0.80 generalize (zenon_H2b (a160)). zenon_intro zenon_H34. % 0.61/0.80 apply (zenon_imply_s _ _ zenon_H34); [ zenon_intro zenon_H9 | zenon_intro zenon_H35 ]. % 0.61/0.80 exact (zenon_H9 zenon_Ha). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H37 | zenon_intro zenon_H36 ]. % 0.61/0.80 exact (zenon_H33 zenon_H37). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H38 | zenon_intro zenon_H32 ]. % 0.61/0.80 exact (zenon_H2c zenon_H38). % 0.61/0.80 exact (zenon_H32 zenon_H2d). % 0.61/0.80 exact (zenon_H32 zenon_H2d). % 0.61/0.80 (* end of lemma zenon_L13_ *) % 0.61/0.80 assert (zenon_L14_ : (~(hskp25)) -> (hskp25) -> False). % 0.61/0.80 do 0 intro. intros zenon_H39 zenon_H3a. % 0.61/0.80 exact (zenon_H39 zenon_H3a). % 0.61/0.80 (* end of lemma zenon_L14_ *) % 0.61/0.80 assert (zenon_L15_ : (~(hskp6)) -> (hskp6) -> False). % 0.61/0.80 do 0 intro. intros zenon_H3b zenon_H3c. % 0.61/0.80 exact (zenon_H3b zenon_H3c). % 0.61/0.80 (* end of lemma zenon_L15_ *) % 0.61/0.80 assert (zenon_L16_ : ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6))) -> (c3_1 (a160)) -> (~(c1_1 (a160))) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22)))))) -> (~(c2_1 (a160))) -> (ndr1_0) -> (~(hskp25)) -> (~(hskp6)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H3d zenon_H2d zenon_H2c zenon_H2b zenon_H2a zenon_Ha zenon_H39 zenon_H3b. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H29 | zenon_intro zenon_H3e ]. % 0.61/0.80 apply (zenon_L13_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H3a | zenon_intro zenon_H3c ]. % 0.61/0.80 exact (zenon_H39 zenon_H3a). % 0.61/0.80 exact (zenon_H3b zenon_H3c). % 0.61/0.80 (* end of lemma zenon_L16_ *) % 0.61/0.80 assert (zenon_L17_ : (~(hskp28)) -> (hskp28) -> False). % 0.61/0.80 do 0 intro. intros zenon_H3f zenon_H40. % 0.61/0.80 exact (zenon_H3f zenon_H40). % 0.61/0.80 (* end of lemma zenon_L17_ *) % 0.61/0.80 assert (zenon_L18_ : (~(hskp8)) -> (hskp8) -> False). % 0.61/0.80 do 0 intro. intros zenon_H41 zenon_H42. % 0.61/0.80 exact (zenon_H41 zenon_H42). % 0.61/0.80 (* end of lemma zenon_L18_ *) % 0.61/0.80 assert (zenon_L19_ : (forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (c1_1 (a133)) -> (c2_1 (a133)) -> (c3_1 (a133)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H43 zenon_Ha zenon_H44 zenon_H45 zenon_H46. % 0.61/0.80 generalize (zenon_H43 (a133)). zenon_intro zenon_H47. % 0.61/0.80 apply (zenon_imply_s _ _ zenon_H47); [ zenon_intro zenon_H9 | zenon_intro zenon_H48 ]. % 0.61/0.80 exact (zenon_H9 zenon_Ha). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H4a | zenon_intro zenon_H49 ]. % 0.61/0.80 exact (zenon_H4a zenon_H44). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H4c | zenon_intro zenon_H4b ]. % 0.61/0.80 exact (zenon_H4c zenon_H45). % 0.61/0.80 exact (zenon_H4b zenon_H46). % 0.61/0.80 (* end of lemma zenon_L19_ *) % 0.61/0.80 assert (zenon_L20_ : (~(hskp3)) -> (hskp3) -> False). % 0.61/0.80 do 0 intro. intros zenon_H4d zenon_H4e. % 0.61/0.80 exact (zenon_H4d zenon_H4e). % 0.61/0.80 (* end of lemma zenon_L20_ *) % 0.61/0.80 assert (zenon_L21_ : ((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp3)\/(hskp13))) -> (~(hskp3)) -> (~(hskp13)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H4f zenon_H50 zenon_H4d zenon_H5. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_Ha. zenon_intro zenon_H51. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H44. zenon_intro zenon_H52. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H45. zenon_intro zenon_H46. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.61/0.80 apply (zenon_L19_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H4e | zenon_intro zenon_H6 ]. % 0.61/0.80 exact (zenon_H4d zenon_H4e). % 0.61/0.80 exact (zenon_H5 zenon_H6). % 0.61/0.80 (* end of lemma zenon_L21_ *) % 0.61/0.80 assert (zenon_L22_ : (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22)))))) -> (ndr1_0) -> (~(c0_1 (a189))) -> (~(c1_1 (a189))) -> (c3_1 (a189)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H2b zenon_Ha zenon_H54 zenon_H55 zenon_H56. % 0.61/0.80 generalize (zenon_H2b (a189)). zenon_intro zenon_H57. % 0.61/0.80 apply (zenon_imply_s _ _ zenon_H57); [ zenon_intro zenon_H9 | zenon_intro zenon_H58 ]. % 0.61/0.80 exact (zenon_H9 zenon_Ha). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H5a | zenon_intro zenon_H59 ]. % 0.61/0.80 exact (zenon_H54 zenon_H5a). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H5c | zenon_intro zenon_H5b ]. % 0.61/0.80 exact (zenon_H55 zenon_H5c). % 0.61/0.80 exact (zenon_H5b zenon_H56). % 0.61/0.80 (* end of lemma zenon_L22_ *) % 0.61/0.80 assert (zenon_L23_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((hskp28)\/(hskp8))) -> (c3_1 (a189)) -> (~(c1_1 (a189))) -> (~(c0_1 (a189))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp8)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H5d zenon_H56 zenon_H55 zenon_H54 zenon_Ha zenon_H3f zenon_H41. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H2b | zenon_intro zenon_H5e ]. % 0.61/0.80 apply (zenon_L22_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H40 | zenon_intro zenon_H42 ]. % 0.61/0.80 exact (zenon_H3f zenon_H40). % 0.61/0.80 exact (zenon_H41 zenon_H42). % 0.61/0.80 (* end of lemma zenon_L23_ *) % 0.61/0.80 assert (zenon_L24_ : (~(hskp9)) -> (hskp9) -> False). % 0.61/0.80 do 0 intro. intros zenon_H5f zenon_H60. % 0.61/0.80 exact (zenon_H5f zenon_H60). % 0.61/0.80 (* end of lemma zenon_L24_ *) % 0.61/0.80 assert (zenon_L25_ : ((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp9)\/(hskp8))) -> (~(hskp9)) -> (~(hskp8)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H4f zenon_H61 zenon_H5f zenon_H41. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_Ha. zenon_intro zenon_H51. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H44. zenon_intro zenon_H52. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H45. zenon_intro zenon_H46. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H43 | zenon_intro zenon_H62 ]. % 0.61/0.80 apply (zenon_L19_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H60 | zenon_intro zenon_H42 ]. % 0.61/0.80 exact (zenon_H5f zenon_H60). % 0.61/0.80 exact (zenon_H41 zenon_H42). % 0.61/0.80 (* end of lemma zenon_L25_ *) % 0.61/0.80 assert (zenon_L26_ : ((ndr1_0)/\((c3_1 (a189))/\((~(c0_1 (a189)))/\(~(c1_1 (a189)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp9)\/(hskp8))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((hskp28)\/(hskp8))) -> False). % 0.61/0.80 do 0 intro. intros zenon_H63 zenon_H64 zenon_H61 zenon_H5f zenon_H41 zenon_H5d. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H65. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H56. zenon_intro zenon_H66. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H54. zenon_intro zenon_H55. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H3f | zenon_intro zenon_H4f ]. % 0.61/0.80 apply (zenon_L23_); trivial. % 0.61/0.80 apply (zenon_L25_); trivial. % 0.61/0.80 (* end of lemma zenon_L26_ *) % 0.61/0.80 assert (zenon_L27_ : ((~(hskp25))\/((ndr1_0)/\((c3_1 (a189))/\((~(c0_1 (a189)))/\(~(c1_1 (a189))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp9)\/(hskp8))) -> (~(hskp9)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((hskp28)\/(hskp8))) -> (~(hskp8)) -> (ndr1_0) -> (~(c2_1 (a160))) -> (~(c1_1 (a160))) -> (c3_1 (a160)) -> (~(hskp6)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6))) -> (~(hskp3)) -> (~(hskp13)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp3)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> False). % 0.61/0.80 do 0 intro. intros zenon_H67 zenon_H61 zenon_H5f zenon_H5d zenon_H41 zenon_Ha zenon_H2a zenon_H2c zenon_H2d zenon_H3b zenon_H3d zenon_H4d zenon_H5 zenon_H50 zenon_H64. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H39 | zenon_intro zenon_H63 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H3f | zenon_intro zenon_H4f ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H2b | zenon_intro zenon_H5e ]. % 0.61/0.80 apply (zenon_L16_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H40 | zenon_intro zenon_H42 ]. % 0.61/0.80 exact (zenon_H3f zenon_H40). % 0.61/0.80 exact (zenon_H41 zenon_H42). % 0.61/0.80 apply (zenon_L21_); trivial. % 0.61/0.80 apply (zenon_L26_); trivial. % 0.61/0.80 (* end of lemma zenon_L27_ *) % 0.61/0.80 assert (zenon_L28_ : ((~(hskp18))\/((ndr1_0)/\((c3_1 (a160))/\((~(c1_1 (a160)))/\(~(c2_1 (a160))))))) -> ((~(hskp25))\/((ndr1_0)/\((c3_1 (a189))/\((~(c0_1 (a189)))/\(~(c1_1 (a189))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp9)\/(hskp8))) -> (~(hskp9)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((hskp28)\/(hskp8))) -> (~(hskp8)) -> (~(hskp6)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6))) -> (~(hskp3)) -> (~(hskp13)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp3)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> (ndr1_0) -> (~(c0_1 (a153))) -> (c2_1 (a153)) -> (c3_1 (a153)) -> (~(hskp0)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp0)\/(hskp18))) -> False). % 0.61/0.80 do 0 intro. intros zenon_H68 zenon_H67 zenon_H61 zenon_H5f zenon_H5d zenon_H41 zenon_H3b zenon_H3d zenon_H4d zenon_H5 zenon_H50 zenon_H64 zenon_Ha zenon_H1a zenon_H1b zenon_H1c zenon_H23 zenon_H27. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H25 | zenon_intro zenon_H69 ]. % 0.61/0.80 apply (zenon_L12_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_Ha. zenon_intro zenon_H6a. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H2d. zenon_intro zenon_H6b. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H2c. zenon_intro zenon_H2a. % 0.61/0.80 apply (zenon_L27_); trivial. % 0.61/0.80 (* end of lemma zenon_L28_ *) % 0.61/0.80 assert (zenon_L29_ : (forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))) -> (ndr1_0) -> (~(c1_1 (a143))) -> (forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74)))))) -> (c2_1 (a143)) -> (c3_1 (a143)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H6c zenon_Ha zenon_H6d zenon_H19 zenon_H6e zenon_H6f. % 0.61/0.80 generalize (zenon_H6c (a143)). zenon_intro zenon_H70. % 0.61/0.80 apply (zenon_imply_s _ _ zenon_H70); [ zenon_intro zenon_H9 | zenon_intro zenon_H71 ]. % 0.61/0.80 exact (zenon_H9 zenon_Ha). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H71); [ zenon_intro zenon_H73 | zenon_intro zenon_H72 ]. % 0.61/0.80 exact (zenon_H6d zenon_H73). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H75 | zenon_intro zenon_H74 ]. % 0.61/0.80 generalize (zenon_H19 (a143)). zenon_intro zenon_H76. % 0.61/0.80 apply (zenon_imply_s _ _ zenon_H76); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.61/0.80 exact (zenon_H9 zenon_Ha). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H79 | zenon_intro zenon_H78 ]. % 0.61/0.80 exact (zenon_H75 zenon_H79). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H7a | zenon_intro zenon_H74 ]. % 0.61/0.80 exact (zenon_H7a zenon_H6e). % 0.61/0.80 exact (zenon_H74 zenon_H6f). % 0.61/0.80 exact (zenon_H74 zenon_H6f). % 0.61/0.80 (* end of lemma zenon_L29_ *) % 0.61/0.80 assert (zenon_L30_ : ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((hskp3)\/(hskp15))) -> (c3_1 (a143)) -> (c2_1 (a143)) -> (forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74)))))) -> (~(c1_1 (a143))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp15)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H7b zenon_H6f zenon_H6e zenon_H19 zenon_H6d zenon_Ha zenon_H4d zenon_H15. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H6c | zenon_intro zenon_H7c ]. % 0.61/0.80 apply (zenon_L29_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H4e | zenon_intro zenon_H16 ]. % 0.61/0.80 exact (zenon_H4d zenon_H4e). % 0.61/0.80 exact (zenon_H15 zenon_H16). % 0.61/0.80 (* end of lemma zenon_L30_ *) % 0.61/0.80 assert (zenon_L31_ : ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp0)\/(hskp18))) -> (~(hskp15)) -> (~(hskp3)) -> (ndr1_0) -> (~(c1_1 (a143))) -> (c2_1 (a143)) -> (c3_1 (a143)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((hskp3)\/(hskp15))) -> (~(hskp0)) -> (~(hskp18)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H27 zenon_H15 zenon_H4d zenon_Ha zenon_H6d zenon_H6e zenon_H6f zenon_H7b zenon_H23 zenon_H25. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H19 | zenon_intro zenon_H28 ]. % 0.61/0.80 apply (zenon_L30_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H24 | zenon_intro zenon_H26 ]. % 0.61/0.80 exact (zenon_H23 zenon_H24). % 0.61/0.80 exact (zenon_H25 zenon_H26). % 0.61/0.80 (* end of lemma zenon_L31_ *) % 0.61/0.80 assert (zenon_L32_ : (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26)))))) -> (ndr1_0) -> (~(c1_1 (a160))) -> (~(c2_1 (a160))) -> (c3_1 (a160)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H7d zenon_Ha zenon_H2c zenon_H2a zenon_H2d. % 0.61/0.80 generalize (zenon_H7d (a160)). zenon_intro zenon_H7e. % 0.61/0.80 apply (zenon_imply_s _ _ zenon_H7e); [ zenon_intro zenon_H9 | zenon_intro zenon_H7f ]. % 0.61/0.80 exact (zenon_H9 zenon_Ha). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H7f); [ zenon_intro zenon_H38 | zenon_intro zenon_H80 ]. % 0.61/0.80 exact (zenon_H2c zenon_H38). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H31 | zenon_intro zenon_H32 ]. % 0.61/0.80 exact (zenon_H2a zenon_H31). % 0.61/0.80 exact (zenon_H32 zenon_H2d). % 0.61/0.80 (* end of lemma zenon_L32_ *) % 0.61/0.80 assert (zenon_L33_ : (forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (ndr1_0) -> (~(c1_1 (a143))) -> (c2_1 (a143)) -> (c3_1 (a143)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H81 zenon_Ha zenon_H6d zenon_H6e zenon_H6f. % 0.61/0.80 generalize (zenon_H81 (a143)). zenon_intro zenon_H82. % 0.61/0.80 apply (zenon_imply_s _ _ zenon_H82); [ zenon_intro zenon_H9 | zenon_intro zenon_H83 ]. % 0.61/0.80 exact (zenon_H9 zenon_Ha). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H83); [ zenon_intro zenon_H73 | zenon_intro zenon_H78 ]. % 0.61/0.80 exact (zenon_H6d zenon_H73). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H7a | zenon_intro zenon_H74 ]. % 0.61/0.80 exact (zenon_H7a zenon_H6e). % 0.61/0.80 exact (zenon_H74 zenon_H6f). % 0.61/0.80 (* end of lemma zenon_L33_ *) % 0.61/0.80 assert (zenon_L34_ : ((ndr1_0)/\((c3_1 (a189))/\((~(c0_1 (a189)))/\(~(c1_1 (a189)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a160)) -> (~(c2_1 (a160))) -> (~(c1_1 (a160))) -> (~(c1_1 (a143))) -> (c2_1 (a143)) -> (c3_1 (a143)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H63 zenon_H84 zenon_H2d zenon_H2a zenon_H2c zenon_H6d zenon_H6e zenon_H6f. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H65. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H56. zenon_intro zenon_H66. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H54. zenon_intro zenon_H55. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H2b | zenon_intro zenon_H85 ]. % 0.61/0.80 apply (zenon_L22_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H7d | zenon_intro zenon_H81 ]. % 0.61/0.80 apply (zenon_L32_); trivial. % 0.61/0.80 apply (zenon_L33_); trivial. % 0.61/0.80 (* end of lemma zenon_L34_ *) % 0.61/0.80 assert (zenon_L35_ : ((ndr1_0)/\((c3_1 (a160))/\((~(c1_1 (a160)))/\(~(c2_1 (a160)))))) -> ((~(hskp25))\/((ndr1_0)/\((c3_1 (a189))/\((~(c0_1 (a189)))/\(~(c1_1 (a189))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6))) -> (~(hskp6)) -> (~(c1_1 (a143))) -> (c2_1 (a143)) -> (c3_1 (a143)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> False). % 0.61/0.80 do 0 intro. intros zenon_H69 zenon_H67 zenon_H3d zenon_H3b zenon_H6d zenon_H6e zenon_H6f zenon_H84. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_Ha. zenon_intro zenon_H6a. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H2d. zenon_intro zenon_H6b. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H2c. zenon_intro zenon_H2a. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H39 | zenon_intro zenon_H63 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H2b | zenon_intro zenon_H85 ]. % 0.61/0.80 apply (zenon_L16_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H7d | zenon_intro zenon_H81 ]. % 0.61/0.80 apply (zenon_L32_); trivial. % 0.61/0.80 apply (zenon_L33_); trivial. % 0.61/0.80 apply (zenon_L34_); trivial. % 0.61/0.80 (* end of lemma zenon_L35_ *) % 0.61/0.80 assert (zenon_L36_ : ((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a160))/\((~(c1_1 (a160)))/\(~(c2_1 (a160))))))) -> ((~(hskp25))\/((ndr1_0)/\((c3_1 (a189))/\((~(c0_1 (a189)))/\(~(c1_1 (a189))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6))) -> (~(hskp6)) -> (~(c1_1 (a143))) -> (c2_1 (a143)) -> (c3_1 (a143)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(hskp0)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp0)\/(hskp18))) -> False). % 0.61/0.80 do 0 intro. intros zenon_H86 zenon_H68 zenon_H67 zenon_H3d zenon_H3b zenon_H6d zenon_H6e zenon_H6f zenon_H84 zenon_H23 zenon_H27. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_Ha. zenon_intro zenon_H87. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H1b. zenon_intro zenon_H88. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H1c. zenon_intro zenon_H1a. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H25 | zenon_intro zenon_H69 ]. % 0.61/0.80 apply (zenon_L12_); trivial. % 0.61/0.80 apply (zenon_L35_); trivial. % 0.61/0.80 (* end of lemma zenon_L36_ *) % 0.61/0.80 assert (zenon_L37_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp0)\/(hskp18))) -> (~(hskp0)) -> (ndr1_0) -> (~(c1_1 (a143))) -> (c2_1 (a143)) -> (c3_1 (a143)) -> (~(hskp3)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((hskp3)\/(hskp15))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(hskp6)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6))) -> ((~(hskp25))\/((ndr1_0)/\((c3_1 (a189))/\((~(c0_1 (a189)))/\(~(c1_1 (a189))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a160))/\((~(c1_1 (a160)))/\(~(c2_1 (a160))))))) -> False). % 0.61/0.80 do 0 intro. intros zenon_H89 zenon_H27 zenon_H23 zenon_Ha zenon_H6d zenon_H6e zenon_H6f zenon_H4d zenon_H7b zenon_H84 zenon_H3b zenon_H3d zenon_H67 zenon_H68. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H15 | zenon_intro zenon_H86 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H25 | zenon_intro zenon_H69 ]. % 0.61/0.80 apply (zenon_L31_); trivial. % 0.61/0.80 apply (zenon_L35_); trivial. % 0.61/0.80 apply (zenon_L36_); trivial. % 0.61/0.80 (* end of lemma zenon_L37_ *) % 0.61/0.80 assert (zenon_L38_ : (forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29)))))) -> (ndr1_0) -> (~(c1_1 (a142))) -> (c0_1 (a142)) -> (c3_1 (a142)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H6c zenon_Ha zenon_H8a zenon_H8b zenon_H8c. % 0.61/0.80 generalize (zenon_H6c (a142)). zenon_intro zenon_H8d. % 0.61/0.80 apply (zenon_imply_s _ _ zenon_H8d); [ zenon_intro zenon_H9 | zenon_intro zenon_H8e ]. % 0.61/0.80 exact (zenon_H9 zenon_Ha). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H90 | zenon_intro zenon_H8f ]. % 0.61/0.80 exact (zenon_H8a zenon_H90). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H92 | zenon_intro zenon_H91 ]. % 0.61/0.80 exact (zenon_H92 zenon_H8b). % 0.61/0.80 exact (zenon_H91 zenon_H8c). % 0.61/0.80 (* end of lemma zenon_L38_ *) % 0.61/0.80 assert (zenon_L39_ : ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((hskp3)\/(hskp15))) -> (c3_1 (a142)) -> (c0_1 (a142)) -> (~(c1_1 (a142))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp15)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H7b zenon_H8c zenon_H8b zenon_H8a zenon_Ha zenon_H4d zenon_H15. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H6c | zenon_intro zenon_H7c ]. % 0.61/0.80 apply (zenon_L38_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H4e | zenon_intro zenon_H16 ]. % 0.61/0.80 exact (zenon_H4d zenon_H4e). % 0.61/0.80 exact (zenon_H15 zenon_H16). % 0.61/0.80 (* end of lemma zenon_L39_ *) % 0.61/0.80 assert (zenon_L40_ : ((ndr1_0)/\((c3_1 (a189))/\((~(c0_1 (a189)))/\(~(c1_1 (a189)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/(hskp6))) -> (c3_1 (a142)) -> (c0_1 (a142)) -> (~(c1_1 (a142))) -> (~(hskp6)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H63 zenon_H93 zenon_H8c zenon_H8b zenon_H8a zenon_H3b. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H65. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H56. zenon_intro zenon_H66. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H54. zenon_intro zenon_H55. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H2b | zenon_intro zenon_H94 ]. % 0.61/0.80 apply (zenon_L22_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H6c | zenon_intro zenon_H3c ]. % 0.61/0.80 apply (zenon_L38_); trivial. % 0.61/0.80 exact (zenon_H3b zenon_H3c). % 0.61/0.80 (* end of lemma zenon_L40_ *) % 0.61/0.80 assert (zenon_L41_ : ((ndr1_0)/\((c3_1 (a160))/\((~(c1_1 (a160)))/\(~(c2_1 (a160)))))) -> ((~(hskp25))\/((ndr1_0)/\((c3_1 (a189))/\((~(c0_1 (a189)))/\(~(c1_1 (a189))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6))) -> (~(hskp6)) -> (~(c1_1 (a142))) -> (c0_1 (a142)) -> (c3_1 (a142)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/(hskp6))) -> False). % 0.61/0.80 do 0 intro. intros zenon_H69 zenon_H67 zenon_H3d zenon_H3b zenon_H8a zenon_H8b zenon_H8c zenon_H93. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_Ha. zenon_intro zenon_H6a. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H2d. zenon_intro zenon_H6b. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H2c. zenon_intro zenon_H2a. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H39 | zenon_intro zenon_H63 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H2b | zenon_intro zenon_H94 ]. % 0.61/0.80 apply (zenon_L16_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H6c | zenon_intro zenon_H3c ]. % 0.61/0.80 apply (zenon_L38_); trivial. % 0.61/0.80 exact (zenon_H3b zenon_H3c). % 0.61/0.80 apply (zenon_L40_); trivial. % 0.61/0.80 (* end of lemma zenon_L41_ *) % 0.61/0.80 assert (zenon_L42_ : ((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a160))/\((~(c1_1 (a160)))/\(~(c2_1 (a160))))))) -> ((~(hskp25))\/((ndr1_0)/\((c3_1 (a189))/\((~(c0_1 (a189)))/\(~(c1_1 (a189))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6))) -> (~(hskp6)) -> (~(c1_1 (a142))) -> (c0_1 (a142)) -> (c3_1 (a142)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/(hskp6))) -> (~(hskp0)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp0)\/(hskp18))) -> False). % 0.61/0.80 do 0 intro. intros zenon_H86 zenon_H68 zenon_H67 zenon_H3d zenon_H3b zenon_H8a zenon_H8b zenon_H8c zenon_H93 zenon_H23 zenon_H27. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_Ha. zenon_intro zenon_H87. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H1b. zenon_intro zenon_H88. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H1c. zenon_intro zenon_H1a. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H25 | zenon_intro zenon_H69 ]. % 0.61/0.80 apply (zenon_L12_); trivial. % 0.61/0.80 apply (zenon_L41_); trivial. % 0.61/0.80 (* end of lemma zenon_L42_ *) % 0.61/0.80 assert (zenon_L43_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a160))/\((~(c1_1 (a160)))/\(~(c2_1 (a160))))))) -> ((~(hskp25))\/((ndr1_0)/\((c3_1 (a189))/\((~(c0_1 (a189)))/\(~(c1_1 (a189))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6))) -> (~(hskp6)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/(hskp6))) -> (~(hskp0)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp0)\/(hskp18))) -> (ndr1_0) -> (~(c1_1 (a142))) -> (c0_1 (a142)) -> (c3_1 (a142)) -> (~(hskp3)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((hskp3)\/(hskp15))) -> False). % 0.61/0.80 do 0 intro. intros zenon_H89 zenon_H68 zenon_H67 zenon_H3d zenon_H3b zenon_H93 zenon_H23 zenon_H27 zenon_Ha zenon_H8a zenon_H8b zenon_H8c zenon_H4d zenon_H7b. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H15 | zenon_intro zenon_H86 ]. % 0.61/0.80 apply (zenon_L39_); trivial. % 0.61/0.80 apply (zenon_L42_); trivial. % 0.61/0.80 (* end of lemma zenon_L43_ *) % 0.61/0.80 assert (zenon_L44_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp15)\/(hskp13))) -> (~(hskp15)) -> (~(hskp12)) -> (~(hskp13)) -> ((hskp12)\/((hskp19)\/(hskp13))) -> False). % 0.61/0.80 do 0 intro. intros zenon_H95 zenon_H17 zenon_H15 zenon_H1 zenon_H5 zenon_H7. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H96 ]. % 0.61/0.80 apply (zenon_L4_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_Ha. zenon_intro zenon_H97. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_Hd. zenon_intro zenon_H98. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.61/0.80 apply (zenon_L8_); trivial. % 0.61/0.80 (* end of lemma zenon_L44_ *) % 0.61/0.80 assert (zenon_L45_ : (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31)))))) -> (ndr1_0) -> (~(c2_1 (a138))) -> (c0_1 (a138)) -> (c1_1 (a138)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H99 zenon_Ha zenon_H9a zenon_H9b zenon_H9c. % 0.61/0.80 generalize (zenon_H99 (a138)). zenon_intro zenon_H9d. % 0.61/0.80 apply (zenon_imply_s _ _ zenon_H9d); [ zenon_intro zenon_H9 | zenon_intro zenon_H9e ]. % 0.61/0.80 exact (zenon_H9 zenon_Ha). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H9f ]. % 0.61/0.80 exact (zenon_H9a zenon_Ha0). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Ha1 ]. % 0.61/0.80 exact (zenon_Ha2 zenon_H9b). % 0.61/0.80 exact (zenon_Ha1 zenon_H9c). % 0.61/0.80 (* end of lemma zenon_L45_ *) % 0.61/0.80 assert (zenon_L46_ : (~(hskp7)) -> (hskp7) -> False). % 0.61/0.80 do 0 intro. intros zenon_Ha3 zenon_Ha4. % 0.61/0.80 exact (zenon_Ha3 zenon_Ha4). % 0.61/0.80 (* end of lemma zenon_L46_ *) % 0.61/0.80 assert (zenon_L47_ : ((ndr1_0)/\((c3_1 (a189))/\((~(c0_1 (a189)))/\(~(c1_1 (a189)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (c1_1 (a138)) -> (c0_1 (a138)) -> (~(c2_1 (a138))) -> (~(hskp7)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H63 zenon_Ha5 zenon_H9c zenon_H9b zenon_H9a zenon_Ha3. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H65. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H56. zenon_intro zenon_H66. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H54. zenon_intro zenon_H55. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H2b | zenon_intro zenon_Ha6 ]. % 0.61/0.80 apply (zenon_L22_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H99 | zenon_intro zenon_Ha4 ]. % 0.61/0.80 apply (zenon_L45_); trivial. % 0.61/0.80 exact (zenon_Ha3 zenon_Ha4). % 0.61/0.80 (* end of lemma zenon_L47_ *) % 0.61/0.80 assert (zenon_L48_ : ((ndr1_0)/\((c3_1 (a160))/\((~(c1_1 (a160)))/\(~(c2_1 (a160)))))) -> ((~(hskp25))\/((ndr1_0)/\((c3_1 (a189))/\((~(c0_1 (a189)))/\(~(c1_1 (a189))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6))) -> (~(hskp6)) -> (~(c2_1 (a138))) -> (c0_1 (a138)) -> (c1_1 (a138)) -> (~(hskp7)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> False). % 0.61/0.80 do 0 intro. intros zenon_H69 zenon_H67 zenon_H3d zenon_H3b zenon_H9a zenon_H9b zenon_H9c zenon_Ha3 zenon_Ha5. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_Ha. zenon_intro zenon_H6a. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H2d. zenon_intro zenon_H6b. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H2c. zenon_intro zenon_H2a. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H39 | zenon_intro zenon_H63 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H2b | zenon_intro zenon_Ha6 ]. % 0.61/0.80 apply (zenon_L16_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H99 | zenon_intro zenon_Ha4 ]. % 0.61/0.80 apply (zenon_L45_); trivial. % 0.61/0.80 exact (zenon_Ha3 zenon_Ha4). % 0.61/0.80 apply (zenon_L47_); trivial. % 0.61/0.80 (* end of lemma zenon_L48_ *) % 0.61/0.80 assert (zenon_L49_ : ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (c3_1 (a143)) -> (c2_1 (a143)) -> (forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74)))))) -> (~(c1_1 (a143))) -> (c1_1 (a138)) -> (c0_1 (a138)) -> (~(c2_1 (a138))) -> (ndr1_0) -> (~(hskp7)) -> False). % 0.61/0.80 do 0 intro. intros zenon_Ha7 zenon_H6f zenon_H6e zenon_H19 zenon_H6d zenon_H9c zenon_H9b zenon_H9a zenon_Ha zenon_Ha3. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H6c | zenon_intro zenon_Ha6 ]. % 0.61/0.80 apply (zenon_L29_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H99 | zenon_intro zenon_Ha4 ]. % 0.61/0.80 apply (zenon_L45_); trivial. % 0.61/0.80 exact (zenon_Ha3 zenon_Ha4). % 0.61/0.80 (* end of lemma zenon_L49_ *) % 0.61/0.80 assert (zenon_L50_ : ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp0)\/(hskp18))) -> (~(hskp7)) -> (ndr1_0) -> (~(c2_1 (a138))) -> (c0_1 (a138)) -> (c1_1 (a138)) -> (~(c1_1 (a143))) -> (c2_1 (a143)) -> (c3_1 (a143)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp0)) -> (~(hskp18)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H27 zenon_Ha3 zenon_Ha zenon_H9a zenon_H9b zenon_H9c zenon_H6d zenon_H6e zenon_H6f zenon_Ha7 zenon_H23 zenon_H25. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H19 | zenon_intro zenon_H28 ]. % 0.61/0.80 apply (zenon_L49_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H24 | zenon_intro zenon_H26 ]. % 0.61/0.80 exact (zenon_H23 zenon_H24). % 0.61/0.80 exact (zenon_H25 zenon_H26). % 0.61/0.80 (* end of lemma zenon_L50_ *) % 0.61/0.80 assert (zenon_L51_ : ((ndr1_0)/\((c2_1 (a143))/\((c3_1 (a143))/\(~(c1_1 (a143)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a160))/\((~(c1_1 (a160)))/\(~(c2_1 (a160))))))) -> ((~(hskp25))\/((ndr1_0)/\((c3_1 (a189))/\((~(c0_1 (a189)))/\(~(c1_1 (a189))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6))) -> (~(hskp6)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a138)) -> (c0_1 (a138)) -> (~(c2_1 (a138))) -> (~(hskp0)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp0)\/(hskp18))) -> False). % 0.61/0.80 do 0 intro. intros zenon_Ha8 zenon_H68 zenon_H67 zenon_H3d zenon_H3b zenon_H84 zenon_Ha7 zenon_Ha3 zenon_H9c zenon_H9b zenon_H9a zenon_H23 zenon_H27. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H6e. zenon_intro zenon_Haa. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H25 | zenon_intro zenon_H69 ]. % 0.61/0.80 apply (zenon_L50_); trivial. % 0.61/0.80 apply (zenon_L35_); trivial. % 0.61/0.80 (* end of lemma zenon_L51_ *) % 0.61/0.80 assert (zenon_L52_ : ((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (c1_1 (a138)) -> (c0_1 (a138)) -> (~(c2_1 (a138))) -> (~(hskp7)) -> False). % 0.61/0.80 do 0 intro. intros zenon_Hab zenon_Ha7 zenon_H9c zenon_H9b zenon_H9a zenon_Ha3. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H8b. zenon_intro zenon_Had. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H6c | zenon_intro zenon_Ha6 ]. % 0.61/0.80 apply (zenon_L38_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H99 | zenon_intro zenon_Ha4 ]. % 0.61/0.80 apply (zenon_L45_); trivial. % 0.61/0.80 exact (zenon_Ha3 zenon_Ha4). % 0.61/0.80 (* end of lemma zenon_L52_ *) % 0.61/0.80 assert (zenon_L53_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a160))/\((~(c1_1 (a160)))/\(~(c2_1 (a160))))))) -> ((~(hskp25))\/((ndr1_0)/\((c3_1 (a189))/\((~(c0_1 (a189)))/\(~(c1_1 (a189))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6))) -> (~(hskp6)) -> (~(c2_1 (a138))) -> (c0_1 (a138)) -> (c1_1 (a138)) -> (~(hskp7)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp0)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp0)\/(hskp18))) -> ((hskp12)\/((hskp19)\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp15)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a143))/\((c3_1 (a143))/\(~(c1_1 (a143))))))) -> False). % 0.61/0.80 do 0 intro. intros zenon_Hae zenon_H89 zenon_H68 zenon_H67 zenon_H3d zenon_H3b zenon_H9a zenon_H9b zenon_H9c zenon_Ha3 zenon_Ha5 zenon_H23 zenon_H27 zenon_H7 zenon_H17 zenon_H95 zenon_Ha7 zenon_H84 zenon_Haf. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha8 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H15 | zenon_intro zenon_H86 ]. % 0.61/0.80 apply (zenon_L44_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_Ha. zenon_intro zenon_H87. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H1b. zenon_intro zenon_H88. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H1c. zenon_intro zenon_H1a. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H25 | zenon_intro zenon_H69 ]. % 0.61/0.80 apply (zenon_L12_); trivial. % 0.61/0.80 apply (zenon_L48_); trivial. % 0.61/0.80 apply (zenon_L51_); trivial. % 0.61/0.80 apply (zenon_L52_); trivial. % 0.61/0.80 (* end of lemma zenon_L53_ *) % 0.61/0.80 assert (zenon_L54_ : (~(hskp29)) -> (hskp29) -> False). % 0.61/0.80 do 0 intro. intros zenon_Hb0 zenon_Hb1. % 0.61/0.80 exact (zenon_Hb0 zenon_Hb1). % 0.61/0.80 (* end of lemma zenon_L54_ *) % 0.61/0.80 assert (zenon_L55_ : (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5)))))) -> (ndr1_0) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c2_1 (a134)) -> False). % 0.61/0.80 do 0 intro. intros zenon_Hb2 zenon_Ha zenon_Hb3 zenon_Hb4 zenon_Hb5. % 0.61/0.80 generalize (zenon_Hb2 (a134)). zenon_intro zenon_Hb6. % 0.61/0.80 apply (zenon_imply_s _ _ zenon_Hb6); [ zenon_intro zenon_H9 | zenon_intro zenon_Hb7 ]. % 0.61/0.80 exact (zenon_H9 zenon_Ha). % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ]. % 0.61/0.80 exact (zenon_Hb3 zenon_Hb9). % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ]. % 0.61/0.80 exact (zenon_Hb4 zenon_Hbb). % 0.61/0.80 exact (zenon_Hba zenon_Hb5). % 0.61/0.80 (* end of lemma zenon_L55_ *) % 0.61/0.80 assert (zenon_L56_ : (forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((~(c1_1 X21))\/(~(c2_1 X21)))))) -> (ndr1_0) -> (c0_1 (a136)) -> (c1_1 (a136)) -> (c2_1 (a136)) -> False). % 0.61/0.80 do 0 intro. intros zenon_Hbc zenon_Ha zenon_Hbd zenon_Hbe zenon_Hbf. % 0.61/0.80 generalize (zenon_Hbc (a136)). zenon_intro zenon_Hc0. % 0.61/0.80 apply (zenon_imply_s _ _ zenon_Hc0); [ zenon_intro zenon_H9 | zenon_intro zenon_Hc1 ]. % 0.61/0.80 exact (zenon_H9 zenon_Ha). % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hc2 ]. % 0.61/0.80 exact (zenon_Hc3 zenon_Hbd). % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hc4 ]. % 0.61/0.80 exact (zenon_Hc5 zenon_Hbe). % 0.61/0.80 exact (zenon_Hc4 zenon_Hbf). % 0.61/0.80 (* end of lemma zenon_L56_ *) % 0.61/0.80 assert (zenon_L57_ : ((ndr1_0)/\((c0_1 (a136))/\((c1_1 (a136))/\(c2_1 (a136))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((~(c1_1 X21))\/(~(c2_1 X21)))))))) -> (c2_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (c3_1 (a160)) -> (~(c2_1 (a160))) -> (~(c1_1 (a160))) -> False). % 0.61/0.80 do 0 intro. intros zenon_Hc6 zenon_Hc7 zenon_Hb5 zenon_Hb4 zenon_Hb3 zenon_H2d zenon_H2a zenon_H2c. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Ha. zenon_intro zenon_Hc8. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbd. zenon_intro zenon_Hc9. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hbe. zenon_intro zenon_Hbf. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hb2 | zenon_intro zenon_Hca ]. % 0.61/0.80 apply (zenon_L55_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H7d | zenon_intro zenon_Hbc ]. % 0.61/0.80 apply (zenon_L32_); trivial. % 0.61/0.80 apply (zenon_L56_); trivial. % 0.61/0.80 (* end of lemma zenon_L57_ *) % 0.61/0.80 assert (zenon_L58_ : ((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a160))/\((~(c1_1 (a160)))/\(~(c2_1 (a160))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a136))/\((c1_1 (a136))/\(c2_1 (a136)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((~(c1_1 X21))\/(~(c2_1 X21)))))))) -> (c2_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (~(hskp7)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp29)\/(hskp7))) -> (~(hskp0)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp0)\/(hskp18))) -> False). % 0.61/0.80 do 0 intro. intros zenon_H86 zenon_H68 zenon_Hcb zenon_Hc7 zenon_Hb5 zenon_Hb4 zenon_Hb3 zenon_Ha3 zenon_Hcc zenon_H23 zenon_H27. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_Ha. zenon_intro zenon_H87. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H1b. zenon_intro zenon_H88. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H1c. zenon_intro zenon_H1a. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H25 | zenon_intro zenon_H69 ]. % 0.61/0.80 apply (zenon_L12_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_Ha. zenon_intro zenon_H6a. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H2d. zenon_intro zenon_H6b. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H2c. zenon_intro zenon_H2a. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc6 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H19 | zenon_intro zenon_Hcd ]. % 0.61/0.80 apply (zenon_L9_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Ha4 ]. % 0.61/0.80 exact (zenon_Hb0 zenon_Hb1). % 0.61/0.80 exact (zenon_Ha3 zenon_Ha4). % 0.61/0.80 apply (zenon_L57_); trivial. % 0.61/0.80 (* end of lemma zenon_L58_ *) % 0.61/0.80 assert (zenon_L59_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a160))/\((~(c1_1 (a160)))/\(~(c2_1 (a160))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a136))/\((c1_1 (a136))/\(c2_1 (a136)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((~(c1_1 X21))\/(~(c2_1 X21)))))))) -> (c2_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (~(hskp7)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp29)\/(hskp7))) -> (~(hskp0)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp0)\/(hskp18))) -> ((hskp12)\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp15)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> False). % 0.61/0.80 do 0 intro. intros zenon_H89 zenon_H68 zenon_Hcb zenon_Hc7 zenon_Hb5 zenon_Hb4 zenon_Hb3 zenon_Ha3 zenon_Hcc zenon_H23 zenon_H27 zenon_H7 zenon_H5 zenon_H1 zenon_H17 zenon_H95. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H15 | zenon_intro zenon_H86 ]. % 0.61/0.80 apply (zenon_L44_); trivial. % 0.61/0.80 apply (zenon_L58_); trivial. % 0.61/0.80 (* end of lemma zenon_L59_ *) % 0.61/0.80 assert (zenon_L60_ : ((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a160))/\((~(c1_1 (a160)))/\(~(c2_1 (a160))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a136))/\((c1_1 (a136))/\(c2_1 (a136)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((~(c1_1 X21))\/(~(c2_1 X21)))))))) -> (c2_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (~(hskp7)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp29)\/(hskp7))) -> (~(hskp0)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp0)\/(hskp18))) -> (~(hskp3)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((hskp3)\/(hskp15))) -> False). % 0.61/0.80 do 0 intro. intros zenon_Hab zenon_H89 zenon_H68 zenon_Hcb zenon_Hc7 zenon_Hb5 zenon_Hb4 zenon_Hb3 zenon_Ha3 zenon_Hcc zenon_H23 zenon_H27 zenon_H4d zenon_H7b. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H8b. zenon_intro zenon_Had. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H15 | zenon_intro zenon_H86 ]. % 0.61/0.80 apply (zenon_L39_); trivial. % 0.61/0.80 apply (zenon_L58_); trivial. % 0.61/0.80 (* end of lemma zenon_L60_ *) % 0.61/0.80 assert (zenon_L61_ : ((ndr1_0)/\((c2_1 (a134))/\((~(c0_1 (a134)))/\(~(c3_1 (a134)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a160))/\((~(c1_1 (a160)))/\(~(c2_1 (a160))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a136))/\((c1_1 (a136))/\(c2_1 (a136)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((~(c1_1 X21))\/(~(c2_1 X21)))))))) -> (~(hskp7)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp29)\/(hskp7))) -> (~(hskp0)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp0)\/(hskp18))) -> ((hskp12)\/((hskp19)\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp15)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((hskp3)\/(hskp15))) -> (~(hskp3)) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a143))/\((c3_1 (a143))/\(~(c1_1 (a143))))))) -> False). % 0.61/0.80 do 0 intro. intros zenon_Hce zenon_Hae zenon_H89 zenon_H68 zenon_Hcb zenon_Hc7 zenon_Ha3 zenon_Hcc zenon_H23 zenon_H27 zenon_H7 zenon_H17 zenon_H95 zenon_H7b zenon_H4d zenon_Haf. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Ha. zenon_intro zenon_Hcf. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hb5. zenon_intro zenon_Hd0. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_Hb3. zenon_intro zenon_Hb4. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha8 ]. % 0.61/0.80 apply (zenon_L59_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H6e. zenon_intro zenon_Haa. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H15 | zenon_intro zenon_H86 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H25 | zenon_intro zenon_H69 ]. % 0.61/0.80 apply (zenon_L31_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_Ha. zenon_intro zenon_H6a. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H2d. zenon_intro zenon_H6b. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H2c. zenon_intro zenon_H2a. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc6 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H19 | zenon_intro zenon_Hcd ]. % 0.61/0.80 apply (zenon_L30_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Ha4 ]. % 0.61/0.80 exact (zenon_Hb0 zenon_Hb1). % 0.61/0.80 exact (zenon_Ha3 zenon_Ha4). % 0.61/0.80 apply (zenon_L57_); trivial. % 0.61/0.80 apply (zenon_L58_); trivial. % 0.61/0.80 apply (zenon_L60_); trivial. % 0.61/0.80 (* end of lemma zenon_L61_ *) % 0.61/0.80 assert (zenon_L62_ : (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y)))))) -> (ndr1_0) -> (~(c0_1 (a164))) -> (~(c2_1 (a164))) -> (c1_1 (a164)) -> False). % 0.61/0.80 do 0 intro. intros zenon_Hd1 zenon_Ha zenon_Hd2 zenon_Hc zenon_Hd. % 0.61/0.80 generalize (zenon_Hd1 (a164)). zenon_intro zenon_Hd3. % 0.61/0.80 apply (zenon_imply_s _ _ zenon_Hd3); [ zenon_intro zenon_H9 | zenon_intro zenon_Hd4 ]. % 0.61/0.80 exact (zenon_H9 zenon_Ha). % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hd6 | zenon_intro zenon_Hd5 ]. % 0.61/0.80 exact (zenon_Hd2 zenon_Hd6). % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_H12 | zenon_intro zenon_H14 ]. % 0.61/0.80 exact (zenon_Hc zenon_H12). % 0.61/0.80 exact (zenon_H14 zenon_Hd). % 0.61/0.80 (* end of lemma zenon_L62_ *) % 0.61/0.80 assert (zenon_L63_ : (forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40)))))) -> (ndr1_0) -> (~(c2_1 (a164))) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y)))))) -> (c1_1 (a164)) -> (c3_1 (a164)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H29 zenon_Ha zenon_Hc zenon_Hd1 zenon_Hd zenon_He. % 0.61/0.80 generalize (zenon_H29 (a164)). zenon_intro zenon_Hd7. % 0.61/0.80 apply (zenon_imply_s _ _ zenon_Hd7); [ zenon_intro zenon_H9 | zenon_intro zenon_Hd8 ]. % 0.61/0.80 exact (zenon_H9 zenon_Ha). % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hd8); [ zenon_intro zenon_H12 | zenon_intro zenon_Hd9 ]. % 0.61/0.80 exact (zenon_Hc zenon_H12). % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hd9); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H13 ]. % 0.61/0.80 apply (zenon_L62_); trivial. % 0.61/0.80 exact (zenon_H13 zenon_He). % 0.61/0.80 (* end of lemma zenon_L63_ *) % 0.61/0.80 assert (zenon_L64_ : (~(hskp1)) -> (hskp1) -> False). % 0.61/0.80 do 0 intro. intros zenon_Hda zenon_Hdb. % 0.61/0.80 exact (zenon_Hda zenon_Hdb). % 0.61/0.80 (* end of lemma zenon_L64_ *) % 0.61/0.80 assert (zenon_L65_ : ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp1)\/(hskp3))) -> (c3_1 (a164)) -> (c1_1 (a164)) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y)))))) -> (~(c2_1 (a164))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp3)) -> False). % 0.61/0.80 do 0 intro. intros zenon_Hdc zenon_He zenon_Hd zenon_Hd1 zenon_Hc zenon_Ha zenon_Hda zenon_H4d. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H29 | zenon_intro zenon_Hdd ]. % 0.61/0.80 apply (zenon_L63_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hdb | zenon_intro zenon_H4e ]. % 0.61/0.80 exact (zenon_Hda zenon_Hdb). % 0.61/0.80 exact (zenon_H4d zenon_H4e). % 0.61/0.80 (* end of lemma zenon_L65_ *) % 0.61/0.80 assert (zenon_L66_ : ((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp3)\/(hskp13))) -> (~(hskp13)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp1)\/(hskp3))) -> (~(hskp3)) -> (~(hskp1)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((hskp28)\/(hskp3))) -> False). % 0.61/0.80 do 0 intro. intros zenon_H96 zenon_H64 zenon_H50 zenon_H5 zenon_Hdc zenon_H4d zenon_Hda zenon_Hde. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_Ha. zenon_intro zenon_H97. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_Hd. zenon_intro zenon_H98. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H3f | zenon_intro zenon_H4f ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hdf ]. % 0.61/0.80 apply (zenon_L65_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_H40 | zenon_intro zenon_H4e ]. % 0.61/0.80 exact (zenon_H3f zenon_H40). % 0.61/0.80 exact (zenon_H4d zenon_H4e). % 0.61/0.80 apply (zenon_L21_); trivial. % 0.61/0.80 (* end of lemma zenon_L66_ *) % 0.61/0.80 assert (zenon_L67_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp3)\/(hskp13))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp1)\/(hskp3))) -> (~(hskp3)) -> (~(hskp1)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((hskp28)\/(hskp3))) -> (~(hskp12)) -> (~(hskp13)) -> ((hskp12)\/((hskp19)\/(hskp13))) -> False). % 0.61/0.80 do 0 intro. intros zenon_H95 zenon_H64 zenon_H50 zenon_Hdc zenon_H4d zenon_Hda zenon_Hde zenon_H1 zenon_H5 zenon_H7. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H96 ]. % 0.61/0.80 apply (zenon_L4_); trivial. % 0.61/0.80 apply (zenon_L66_); trivial. % 0.61/0.80 (* end of lemma zenon_L67_ *) % 0.61/0.80 assert (zenon_L68_ : ((ndr1_0)/\((c2_1 (a143))/\((c3_1 (a143))/\(~(c1_1 (a143)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp0)\/(hskp18))) -> (~(hskp0)) -> (~(hskp3)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((hskp3)\/(hskp15))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(hskp6)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6))) -> ((~(hskp25))\/((ndr1_0)/\((c3_1 (a189))/\((~(c0_1 (a189)))/\(~(c1_1 (a189))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a160))/\((~(c1_1 (a160)))/\(~(c2_1 (a160))))))) -> False). % 0.61/0.80 do 0 intro. intros zenon_Ha8 zenon_H89 zenon_H27 zenon_H23 zenon_H4d zenon_H7b zenon_H84 zenon_H3b zenon_H3d zenon_H67 zenon_H68. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H6e. zenon_intro zenon_Haa. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 0.61/0.80 apply (zenon_L37_); trivial. % 0.61/0.80 (* end of lemma zenon_L68_ *) % 0.61/0.80 assert (zenon_L69_ : ((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a160))/\((~(c1_1 (a160)))/\(~(c2_1 (a160))))))) -> ((~(hskp25))\/((ndr1_0)/\((c3_1 (a189))/\((~(c0_1 (a189)))/\(~(c1_1 (a189))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6))) -> (~(hskp6)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/(hskp6))) -> (~(hskp0)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp0)\/(hskp18))) -> (~(hskp3)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((hskp3)\/(hskp15))) -> False). % 0.61/0.80 do 0 intro. intros zenon_Hab zenon_H89 zenon_H68 zenon_H67 zenon_H3d zenon_H3b zenon_H93 zenon_H23 zenon_H27 zenon_H4d zenon_H7b. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H8b. zenon_intro zenon_Had. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 0.61/0.80 apply (zenon_L43_); trivial. % 0.61/0.80 (* end of lemma zenon_L69_ *) % 0.61/0.80 assert (zenon_L70_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a131))) -> (~(c1_1 (a131))) -> (~(c2_1 (a131))) -> False). % 0.61/0.80 do 0 intro. intros zenon_He0 zenon_Ha zenon_He1 zenon_He2 zenon_He3. % 0.61/0.80 generalize (zenon_He0 (a131)). zenon_intro zenon_He4. % 0.61/0.80 apply (zenon_imply_s _ _ zenon_He4); [ zenon_intro zenon_H9 | zenon_intro zenon_He5 ]. % 0.61/0.80 exact (zenon_H9 zenon_Ha). % 0.61/0.80 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ]. % 0.61/0.80 exact (zenon_He1 zenon_He7). % 0.61/0.80 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_He9 | zenon_intro zenon_He8 ]. % 0.61/0.80 exact (zenon_He2 zenon_He9). % 0.61/0.80 exact (zenon_He3 zenon_He8). % 0.61/0.80 (* end of lemma zenon_L70_ *) % 0.61/0.80 assert (zenon_L71_ : (~(hskp2)) -> (hskp2) -> False). % 0.61/0.80 do 0 intro. intros zenon_Hea zenon_Heb. % 0.61/0.80 exact (zenon_Hea zenon_Heb). % 0.61/0.80 (* end of lemma zenon_L71_ *) % 0.61/0.80 assert (zenon_L72_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp1))) -> (~(c2_1 (a131))) -> (~(c1_1 (a131))) -> (~(c0_1 (a131))) -> (ndr1_0) -> (~(hskp2)) -> (~(hskp1)) -> False). % 0.61/0.80 do 0 intro. intros zenon_Hec zenon_He3 zenon_He2 zenon_He1 zenon_Ha zenon_Hea zenon_Hda. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hec); [ zenon_intro zenon_He0 | zenon_intro zenon_Hed ]. % 0.61/0.80 apply (zenon_L70_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hed); [ zenon_intro zenon_Heb | zenon_intro zenon_Hdb ]. % 0.61/0.80 exact (zenon_Hea zenon_Heb). % 0.61/0.80 exact (zenon_Hda zenon_Hdb). % 0.61/0.80 (* end of lemma zenon_L72_ *) % 0.61/0.80 assert (zenon_L73_ : ((~(hskp6))\/((ndr1_0)/\((~(c0_1 (a131)))/\((~(c1_1 (a131)))/\(~(c2_1 (a131))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp2)\/(hskp1))) -> (~(hskp2)) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a143))/\((c3_1 (a143))/\(~(c1_1 (a143))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp0)\/(hskp18))) -> (~(hskp0)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((hskp3)\/(hskp15))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6))) -> ((~(hskp25))\/((ndr1_0)/\((c3_1 (a189))/\((~(c0_1 (a189)))/\(~(c1_1 (a189))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a160))/\((~(c1_1 (a160)))/\(~(c2_1 (a160))))))) -> ((hskp12)\/((hskp19)\/(hskp13))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((hskp28)\/(hskp3))) -> (~(hskp1)) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp1)\/(hskp3))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp3)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/(hskp6))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142))))))) -> False). % 0.61/0.80 do 0 intro. intros zenon_Hee zenon_Hec zenon_Hea zenon_Haf zenon_H89 zenon_H27 zenon_H23 zenon_H7b zenon_H84 zenon_H3d zenon_H67 zenon_H68 zenon_H7 zenon_Hde zenon_Hda zenon_H4d zenon_Hdc zenon_H50 zenon_H64 zenon_H95 zenon_H93 zenon_Hae. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H3b | zenon_intro zenon_Hef ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha8 ]. % 0.61/0.80 apply (zenon_L67_); trivial. % 0.61/0.80 apply (zenon_L68_); trivial. % 0.61/0.80 apply (zenon_L69_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Ha. zenon_intro zenon_Hf0. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He1. zenon_intro zenon_Hf1. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_He2. zenon_intro zenon_He3. % 0.61/0.80 apply (zenon_L72_); trivial. % 0.61/0.80 (* end of lemma zenon_L73_ *) % 0.61/0.80 assert (zenon_L74_ : (forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7)))))) -> (ndr1_0) -> (~(c2_1 (a127))) -> (~(c3_1 (a127))) -> (c1_1 (a127)) -> False). % 0.61/0.80 do 0 intro. intros zenon_Hf2 zenon_Ha zenon_Hf3 zenon_Hf4 zenon_Hf5. % 0.61/0.80 generalize (zenon_Hf2 (a127)). zenon_intro zenon_Hf6. % 0.61/0.80 apply (zenon_imply_s _ _ zenon_Hf6); [ zenon_intro zenon_H9 | zenon_intro zenon_Hf7 ]. % 0.61/0.80 exact (zenon_H9 zenon_Ha). % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hf8 ]. % 0.61/0.80 exact (zenon_Hf3 zenon_Hf9). % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hfa ]. % 0.61/0.80 exact (zenon_Hf4 zenon_Hfb). % 0.61/0.80 exact (zenon_Hfa zenon_Hf5). % 0.61/0.80 (* end of lemma zenon_L74_ *) % 0.61/0.80 assert (zenon_L75_ : ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a127)) -> (~(c3_1 (a127))) -> (~(c2_1 (a127))) -> (ndr1_0) -> (~(c2_1 (a160))) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22)))))) -> (~(c1_1 (a160))) -> (c3_1 (a160)) -> False). % 0.61/0.80 do 0 intro. intros zenon_Hfc zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_Ha zenon_H2a zenon_H2b zenon_H2c zenon_H2d. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H7d | zenon_intro zenon_Hfd ]. % 0.61/0.80 apply (zenon_L32_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H29 ]. % 0.61/0.80 apply (zenon_L74_); trivial. % 0.61/0.80 apply (zenon_L13_); trivial. % 0.61/0.80 (* end of lemma zenon_L75_ *) % 0.61/0.80 assert (zenon_L76_ : (~(hskp24)) -> (hskp24) -> False). % 0.61/0.80 do 0 intro. intros zenon_Hfe zenon_Hff. % 0.61/0.80 exact (zenon_Hfe zenon_Hff). % 0.61/0.80 (* end of lemma zenon_L76_ *) % 0.61/0.80 assert (zenon_L77_ : ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp15)\/(hskp24))) -> (c1_1 (a127)) -> (~(c3_1 (a127))) -> (~(c2_1 (a127))) -> (ndr1_0) -> (~(hskp15)) -> (~(hskp24)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H100 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_Ha zenon_H15 zenon_Hfe. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H101 ]. % 0.61/0.80 apply (zenon_L74_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H101); [ zenon_intro zenon_H16 | zenon_intro zenon_Hff ]. % 0.61/0.80 exact (zenon_H15 zenon_H16). % 0.61/0.80 exact (zenon_Hfe zenon_Hff). % 0.61/0.80 (* end of lemma zenon_L77_ *) % 0.61/0.80 assert (zenon_L78_ : (forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(c3_1 X33))))) -> (ndr1_0) -> (~(c0_1 (a182))) -> (~(c2_1 (a182))) -> (~(c3_1 (a182))) -> False). % 0.61/0.80 do 0 intro. intros zenon_H102 zenon_Ha zenon_H103 zenon_H104 zenon_H105. % 0.61/0.80 generalize (zenon_H102 (a182)). zenon_intro zenon_H106. % 0.61/0.80 apply (zenon_imply_s _ _ zenon_H106); [ zenon_intro zenon_H9 | zenon_intro zenon_H107 ]. % 0.61/0.80 exact (zenon_H9 zenon_Ha). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H109 | zenon_intro zenon_H108 ]. % 0.61/0.80 exact (zenon_H103 zenon_H109). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_H10b | zenon_intro zenon_H10a ]. % 0.61/0.80 exact (zenon_H104 zenon_H10b). % 0.61/0.80 exact (zenon_H105 zenon_H10a). % 0.61/0.80 (* end of lemma zenon_L78_ *) % 0.61/0.80 assert (zenon_L79_ : ((ndr1_0)/\((~(c0_1 (a182)))/\((~(c2_1 (a182)))/\(~(c3_1 (a182)))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(c3_1 X33)))))\/((hskp9)\/(hskp7))) -> (~(hskp9)) -> (~(hskp7)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H10c zenon_H10d zenon_H5f zenon_Ha3. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Ha. zenon_intro zenon_H10e. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H102 | zenon_intro zenon_H110 ]. % 0.61/0.80 apply (zenon_L78_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_H60 | zenon_intro zenon_Ha4 ]. % 0.61/0.80 exact (zenon_H5f zenon_H60). % 0.61/0.80 exact (zenon_Ha3 zenon_Ha4). % 0.61/0.80 (* end of lemma zenon_L79_ *) % 0.61/0.80 assert (zenon_L80_ : ((~(hskp24))\/((ndr1_0)/\((~(c0_1 (a182)))/\((~(c2_1 (a182)))/\(~(c3_1 (a182))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(c3_1 X33)))))\/((hskp9)\/(hskp7))) -> (~(hskp7)) -> (~(hskp9)) -> (ndr1_0) -> (~(c2_1 (a127))) -> (~(c3_1 (a127))) -> (c1_1 (a127)) -> (~(hskp15)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp15)\/(hskp24))) -> False). % 0.61/0.80 do 0 intro. intros zenon_H111 zenon_H10d zenon_Ha3 zenon_H5f zenon_Ha zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H15 zenon_H100. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfe | zenon_intro zenon_H10c ]. % 0.61/0.80 apply (zenon_L77_); trivial. % 0.61/0.80 apply (zenon_L79_); trivial. % 0.61/0.80 (* end of lemma zenon_L80_ *) % 0.61/0.80 assert (zenon_L81_ : ((ndr1_0)/\((c2_1 (a143))/\((c3_1 (a143))/\(~(c1_1 (a143)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a160))/\((~(c1_1 (a160)))/\(~(c2_1 (a160))))))) -> ((~(hskp25))\/((ndr1_0)/\((c3_1 (a189))/\((~(c0_1 (a189)))/\(~(c1_1 (a189))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6))) -> (~(hskp6)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(hskp0)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp0)\/(hskp18))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp15)\/(hskp24))) -> (c1_1 (a127)) -> (~(c3_1 (a127))) -> (~(c2_1 (a127))) -> (~(hskp9)) -> (~(hskp7)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(c3_1 X33)))))\/((hskp9)\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((~(c0_1 (a182)))/\((~(c2_1 (a182)))/\(~(c3_1 (a182))))))) -> False). % 0.61/0.80 do 0 intro. intros zenon_Ha8 zenon_H89 zenon_H68 zenon_H67 zenon_H3d zenon_H3b zenon_H84 zenon_H23 zenon_H27 zenon_H100 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H5f zenon_Ha3 zenon_H10d zenon_H111. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H6e. zenon_intro zenon_Haa. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H15 | zenon_intro zenon_H86 ]. % 0.61/0.80 apply (zenon_L80_); trivial. % 0.61/0.80 apply (zenon_L36_); trivial. % 0.61/0.80 (* end of lemma zenon_L81_ *) % 0.61/0.80 assert (zenon_L82_ : ((ndr1_0)/\((c0_1 (a138))/\((c1_1 (a138))/\(~(c2_1 (a138)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a160))/\((~(c1_1 (a160)))/\(~(c2_1 (a160))))))) -> ((~(hskp25))\/((ndr1_0)/\((c3_1 (a189))/\((~(c0_1 (a189)))/\(~(c1_1 (a189))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp0)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp0)\/(hskp18))) -> ((hskp12)\/((hskp19)\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp15)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a143))/\((c3_1 (a143))/\(~(c1_1 (a143))))))) -> False). % 0.61/0.80 do 0 intro. intros zenon_H112 zenon_Hae zenon_H89 zenon_H68 zenon_H67 zenon_H3d zenon_H3b zenon_Ha3 zenon_Ha5 zenon_H23 zenon_H27 zenon_H7 zenon_H17 zenon_H95 zenon_Ha7 zenon_H84 zenon_Haf. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H9b. zenon_intro zenon_H114. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.61/0.80 apply (zenon_L53_); trivial. % 0.61/0.80 (* end of lemma zenon_L82_ *) % 0.61/0.80 assert (zenon_L83_ : ((~(hskp9))\/((ndr1_0)/\((c0_1 (a138))/\((c1_1 (a138))/\(~(c2_1 (a138))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a143))/\((c3_1 (a143))/\(~(c1_1 (a143))))))) -> ((~(hskp25))\/((ndr1_0)/\((c3_1 (a189))/\((~(c0_1 (a189)))/\(~(c1_1 (a189))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6))) -> (~(hskp6)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp15)\/(hskp24))) -> (~(hskp7)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(c3_1 X33)))))\/((hskp9)\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((~(c0_1 (a182)))/\((~(c2_1 (a182)))/\(~(c3_1 (a182))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp15)\/(hskp13))) -> ((hskp12)\/((hskp19)\/(hskp13))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp0)\/(hskp18))) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((hskp28)\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a127))) -> (~(c3_1 (a127))) -> (c1_1 (a127)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp9)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a160))/\((~(c1_1 (a160)))/\(~(c2_1 (a160))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/(hskp6))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142))))))) -> False). % 0.61/0.80 do 0 intro. intros zenon_H115 zenon_Ha5 zenon_Ha7 zenon_Haf zenon_H67 zenon_H3d zenon_H3b zenon_H84 zenon_H100 zenon_Ha3 zenon_H10d zenon_H111 zenon_H95 zenon_H17 zenon_H7 zenon_H27 zenon_H23 zenon_H5d zenon_H41 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_Hfc zenon_H61 zenon_H64 zenon_H68 zenon_H89 zenon_H93 zenon_Hae. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H5f | zenon_intro zenon_H112 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha8 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H15 | zenon_intro zenon_H86 ]. % 0.61/0.80 apply (zenon_L44_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_Ha. zenon_intro zenon_H87. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H1b. zenon_intro zenon_H88. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H1c. zenon_intro zenon_H1a. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H25 | zenon_intro zenon_H69 ]. % 0.61/0.80 apply (zenon_L12_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_Ha. zenon_intro zenon_H6a. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H2d. zenon_intro zenon_H6b. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H2c. zenon_intro zenon_H2a. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H3f | zenon_intro zenon_H4f ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H2b | zenon_intro zenon_H5e ]. % 0.61/0.80 apply (zenon_L75_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H40 | zenon_intro zenon_H42 ]. % 0.61/0.80 exact (zenon_H3f zenon_H40). % 0.61/0.80 exact (zenon_H41 zenon_H42). % 0.61/0.80 apply (zenon_L25_); trivial. % 0.61/0.80 apply (zenon_L81_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H8b. zenon_intro zenon_Had. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H15 | zenon_intro zenon_H86 ]. % 0.61/0.80 apply (zenon_L80_); trivial. % 0.61/0.80 apply (zenon_L42_); trivial. % 0.61/0.80 apply (zenon_L82_); trivial. % 0.61/0.80 (* end of lemma zenon_L83_ *) % 0.61/0.80 assert (zenon_L84_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a160))/\((~(c1_1 (a160)))/\(~(c2_1 (a160))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a136))/\((c1_1 (a136))/\(c2_1 (a136)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((~(c1_1 X21))\/(~(c2_1 X21)))))))) -> (c2_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp29)\/(hskp7))) -> (~(hskp0)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp0)\/(hskp18))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp15)\/(hskp24))) -> (c1_1 (a127)) -> (~(c3_1 (a127))) -> (~(c2_1 (a127))) -> (ndr1_0) -> (~(hskp9)) -> (~(hskp7)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(c3_1 X33)))))\/((hskp9)\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((~(c0_1 (a182)))/\((~(c2_1 (a182)))/\(~(c3_1 (a182))))))) -> False). % 0.61/0.80 do 0 intro. intros zenon_H89 zenon_H68 zenon_Hcb zenon_Hc7 zenon_Hb5 zenon_Hb4 zenon_Hb3 zenon_Hcc zenon_H23 zenon_H27 zenon_H100 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_Ha zenon_H5f zenon_Ha3 zenon_H10d zenon_H111. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H15 | zenon_intro zenon_H86 ]. % 0.61/0.80 apply (zenon_L80_); trivial. % 0.61/0.80 apply (zenon_L58_); trivial. % 0.61/0.80 (* end of lemma zenon_L84_ *) % 0.61/0.80 assert (zenon_L85_ : ((ndr1_0)/\((c0_1 (a138))/\((c1_1 (a138))/\(~(c2_1 (a138)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a160))/\((~(c1_1 (a160)))/\(~(c2_1 (a160))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a136))/\((c1_1 (a136))/\(c2_1 (a136)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((~(c1_1 X21))\/(~(c2_1 X21)))))))) -> (c2_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (~(hskp7)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp29)\/(hskp7))) -> (~(hskp0)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp0)\/(hskp18))) -> ((hskp12)\/((hskp19)\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp15)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a143))/\((c3_1 (a143))/\(~(c1_1 (a143))))))) -> False). % 0.61/0.80 do 0 intro. intros zenon_H112 zenon_Hae zenon_H89 zenon_H68 zenon_Hcb zenon_Hc7 zenon_Hb5 zenon_Hb4 zenon_Hb3 zenon_Ha3 zenon_Hcc zenon_H23 zenon_H27 zenon_H7 zenon_H17 zenon_H95 zenon_Ha7 zenon_Haf. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H9b. zenon_intro zenon_H114. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha8 ]. % 0.61/0.80 apply (zenon_L59_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H6e. zenon_intro zenon_Haa. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H25 | zenon_intro zenon_H69 ]. % 0.61/0.80 apply (zenon_L50_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_Ha. zenon_intro zenon_H6a. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H2d. zenon_intro zenon_H6b. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H2c. zenon_intro zenon_H2a. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc6 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_H19 | zenon_intro zenon_Hcd ]. % 0.61/0.80 apply (zenon_L49_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hcd); [ zenon_intro zenon_Hb1 | zenon_intro zenon_Ha4 ]. % 0.61/0.80 exact (zenon_Hb0 zenon_Hb1). % 0.61/0.80 exact (zenon_Ha3 zenon_Ha4). % 0.61/0.80 apply (zenon_L57_); trivial. % 0.61/0.80 apply (zenon_L52_); trivial. % 0.61/0.80 (* end of lemma zenon_L85_ *) % 0.61/0.80 assert (zenon_L86_ : (forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))) -> (ndr1_0) -> (~(c2_1 (a132))) -> (c1_1 (a132)) -> (c3_1 (a132)) -> False). % 0.61/0.80 do 0 intro. intros zenon_Hb zenon_Ha zenon_H116 zenon_H117 zenon_H118. % 0.61/0.80 generalize (zenon_Hb (a132)). zenon_intro zenon_H119. % 0.61/0.80 apply (zenon_imply_s _ _ zenon_H119); [ zenon_intro zenon_H9 | zenon_intro zenon_H11a ]. % 0.61/0.80 exact (zenon_H9 zenon_Ha). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H11c | zenon_intro zenon_H11b ]. % 0.61/0.80 exact (zenon_H116 zenon_H11c). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H11e | zenon_intro zenon_H11d ]. % 0.61/0.80 exact (zenon_H11e zenon_H117). % 0.61/0.80 exact (zenon_H11d zenon_H118). % 0.61/0.80 (* end of lemma zenon_L86_ *) % 0.61/0.80 assert (zenon_L87_ : (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26)))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))) -> (~(c2_1 (a132))) -> (c3_1 (a132)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H7d zenon_Ha zenon_Hb zenon_H116 zenon_H118. % 0.61/0.80 generalize (zenon_H7d (a132)). zenon_intro zenon_H11f. % 0.61/0.80 apply (zenon_imply_s _ _ zenon_H11f); [ zenon_intro zenon_H9 | zenon_intro zenon_H120 ]. % 0.61/0.80 exact (zenon_H9 zenon_Ha). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H120); [ zenon_intro zenon_H117 | zenon_intro zenon_H121 ]. % 0.61/0.80 apply (zenon_L86_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H11c | zenon_intro zenon_H11d ]. % 0.61/0.80 exact (zenon_H116 zenon_H11c). % 0.61/0.80 exact (zenon_H11d zenon_H118). % 0.61/0.80 (* end of lemma zenon_L87_ *) % 0.61/0.80 assert (zenon_L88_ : (~(hskp17)) -> (hskp17) -> False). % 0.61/0.80 do 0 intro. intros zenon_H122 zenon_H123. % 0.61/0.80 exact (zenon_H122 zenon_H123). % 0.61/0.80 (* end of lemma zenon_L88_ *) % 0.61/0.80 assert (zenon_L89_ : ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp17)\/(hskp13))) -> (c3_1 (a132)) -> (~(c2_1 (a132))) -> (ndr1_0) -> (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26)))))) -> (~(hskp17)) -> (~(hskp13)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H124 zenon_H118 zenon_H116 zenon_Ha zenon_H7d zenon_H122 zenon_H5. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hb | zenon_intro zenon_H125 ]. % 0.61/0.80 apply (zenon_L87_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H123 | zenon_intro zenon_H6 ]. % 0.61/0.80 exact (zenon_H122 zenon_H123). % 0.61/0.80 exact (zenon_H5 zenon_H6). % 0.61/0.80 (* end of lemma zenon_L89_ *) % 0.61/0.80 assert (zenon_L90_ : ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40)))))))) -> (~(hskp13)) -> (~(hskp17)) -> (~(c2_1 (a132))) -> (c3_1 (a132)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp17)\/(hskp13))) -> (c1_1 (a127)) -> (~(c3_1 (a127))) -> (~(c2_1 (a127))) -> (ndr1_0) -> (~(c2_1 (a164))) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y)))))) -> (c1_1 (a164)) -> (c3_1 (a164)) -> False). % 0.61/0.80 do 0 intro. intros zenon_Hfc zenon_H5 zenon_H122 zenon_H116 zenon_H118 zenon_H124 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_Ha zenon_Hc zenon_Hd1 zenon_Hd zenon_He. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H7d | zenon_intro zenon_Hfd ]. % 0.61/0.80 apply (zenon_L89_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H29 ]. % 0.61/0.80 apply (zenon_L74_); trivial. % 0.61/0.80 apply (zenon_L63_); trivial. % 0.61/0.80 (* end of lemma zenon_L90_ *) % 0.61/0.80 assert (zenon_L91_ : (forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))) -> (ndr1_0) -> (~(c0_1 (a132))) -> (~(c2_1 (a132))) -> (c3_1 (a132)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H126 zenon_Ha zenon_H127 zenon_H116 zenon_H118. % 0.61/0.80 generalize (zenon_H126 (a132)). zenon_intro zenon_H128. % 0.61/0.80 apply (zenon_imply_s _ _ zenon_H128); [ zenon_intro zenon_H9 | zenon_intro zenon_H129 ]. % 0.61/0.80 exact (zenon_H9 zenon_Ha). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H12a | zenon_intro zenon_H121 ]. % 0.61/0.80 exact (zenon_H127 zenon_H12a). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H11c | zenon_intro zenon_H11d ]. % 0.61/0.80 exact (zenon_H116 zenon_H11c). % 0.61/0.80 exact (zenon_H11d zenon_H118). % 0.61/0.80 (* end of lemma zenon_L91_ *) % 0.61/0.80 assert (zenon_L92_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(hskp12))) -> (c3_1 (a164)) -> (c1_1 (a164)) -> (~(c2_1 (a164))) -> (forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40)))))) -> (c3_1 (a132)) -> (~(c2_1 (a132))) -> (~(c0_1 (a132))) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H12b zenon_He zenon_Hd zenon_Hc zenon_H29 zenon_H118 zenon_H116 zenon_H127 zenon_Ha zenon_H1. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H12c ]. % 0.61/0.80 apply (zenon_L63_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H126 | zenon_intro zenon_H2 ]. % 0.61/0.80 apply (zenon_L91_); trivial. % 0.61/0.80 exact (zenon_H1 zenon_H2). % 0.61/0.80 (* end of lemma zenon_L92_ *) % 0.61/0.80 assert (zenon_L93_ : (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y)))))) -> (ndr1_0) -> (~(c0_1 (a155))) -> (~(c2_1 (a155))) -> (c1_1 (a155)) -> False). % 0.61/0.80 do 0 intro. intros zenon_Hd1 zenon_Ha zenon_H12d zenon_H12e zenon_H12f. % 0.61/0.80 generalize (zenon_Hd1 (a155)). zenon_intro zenon_H130. % 0.61/0.80 apply (zenon_imply_s _ _ zenon_H130); [ zenon_intro zenon_H9 | zenon_intro zenon_H131 ]. % 0.61/0.80 exact (zenon_H9 zenon_Ha). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H133 | zenon_intro zenon_H132 ]. % 0.61/0.80 exact (zenon_H12d zenon_H133). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H132); [ zenon_intro zenon_H135 | zenon_intro zenon_H134 ]. % 0.61/0.80 exact (zenon_H12e zenon_H135). % 0.61/0.80 exact (zenon_H134 zenon_H12f). % 0.61/0.80 (* end of lemma zenon_L93_ *) % 0.61/0.80 assert (zenon_L94_ : ((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(hskp12))) -> (c3_1 (a132)) -> (~(c2_1 (a132))) -> (~(c0_1 (a132))) -> (~(hskp12)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H136 zenon_H12b zenon_H118 zenon_H116 zenon_H127 zenon_H1. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Ha. zenon_intro zenon_H137. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H12f. zenon_intro zenon_H138. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H12c ]. % 0.61/0.80 apply (zenon_L93_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H126 | zenon_intro zenon_H2 ]. % 0.61/0.80 apply (zenon_L91_); trivial. % 0.61/0.80 exact (zenon_H1 zenon_H2). % 0.61/0.80 (* end of lemma zenon_L94_ *) % 0.61/0.80 assert (zenon_L95_ : (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22)))))) -> (ndr1_0) -> (~(c0_1 (a132))) -> (forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))) -> (~(c2_1 (a132))) -> (c3_1 (a132)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H2b zenon_Ha zenon_H127 zenon_Hb zenon_H116 zenon_H118. % 0.61/0.80 generalize (zenon_H2b (a132)). zenon_intro zenon_H139. % 0.61/0.80 apply (zenon_imply_s _ _ zenon_H139); [ zenon_intro zenon_H9 | zenon_intro zenon_H13a ]. % 0.61/0.80 exact (zenon_H9 zenon_Ha). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H13a); [ zenon_intro zenon_H12a | zenon_intro zenon_H13b ]. % 0.61/0.80 exact (zenon_H127 zenon_H12a). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H13b); [ zenon_intro zenon_H117 | zenon_intro zenon_H11d ]. % 0.61/0.80 apply (zenon_L86_); trivial. % 0.61/0.80 exact (zenon_H11d zenon_H118). % 0.61/0.80 (* end of lemma zenon_L95_ *) % 0.61/0.80 assert (zenon_L96_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a132))) -> (c3_1 (a132)) -> (~(c2_1 (a132))) -> (forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))) -> (ndr1_0) -> (~(c1_1 (a143))) -> (c2_1 (a143)) -> (c3_1 (a143)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H84 zenon_H127 zenon_H118 zenon_H116 zenon_Hb zenon_Ha zenon_H6d zenon_H6e zenon_H6f. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H2b | zenon_intro zenon_H85 ]. % 0.61/0.80 apply (zenon_L95_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H7d | zenon_intro zenon_H81 ]. % 0.61/0.80 apply (zenon_L87_); trivial. % 0.61/0.80 apply (zenon_L33_); trivial. % 0.61/0.80 (* end of lemma zenon_L96_ *) % 0.61/0.80 assert (zenon_L97_ : ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp17)\/(hskp24))) -> (c3_1 (a143)) -> (c2_1 (a143)) -> (~(c1_1 (a143))) -> (ndr1_0) -> (~(c2_1 (a132))) -> (c3_1 (a132)) -> (~(c0_1 (a132))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(hskp17)) -> (~(hskp24)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H13c zenon_H6f zenon_H6e zenon_H6d zenon_Ha zenon_H116 zenon_H118 zenon_H127 zenon_H84 zenon_H122 zenon_Hfe. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hb | zenon_intro zenon_H13d ]. % 0.61/0.80 apply (zenon_L96_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H123 | zenon_intro zenon_Hff ]. % 0.61/0.80 exact (zenon_H122 zenon_H123). % 0.61/0.80 exact (zenon_Hfe zenon_Hff). % 0.61/0.80 (* end of lemma zenon_L97_ *) % 0.61/0.80 assert (zenon_L98_ : (forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))) -> (ndr1_0) -> (c0_1 (a143)) -> (c2_1 (a143)) -> (c3_1 (a143)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H13e zenon_Ha zenon_H79 zenon_H6e zenon_H6f. % 0.61/0.80 generalize (zenon_H13e (a143)). zenon_intro zenon_H13f. % 0.61/0.80 apply (zenon_imply_s _ _ zenon_H13f); [ zenon_intro zenon_H9 | zenon_intro zenon_H140 ]. % 0.61/0.80 exact (zenon_H9 zenon_Ha). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H75 | zenon_intro zenon_H78 ]. % 0.61/0.80 exact (zenon_H75 zenon_H79). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H7a | zenon_intro zenon_H74 ]. % 0.61/0.80 exact (zenon_H7a zenon_H6e). % 0.61/0.80 exact (zenon_H74 zenon_H6f). % 0.61/0.80 (* end of lemma zenon_L98_ *) % 0.61/0.80 assert (zenon_L99_ : (forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74)))))) -> (ndr1_0) -> (forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))) -> (c2_1 (a143)) -> (c3_1 (a143)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H19 zenon_Ha zenon_H13e zenon_H6e zenon_H6f. % 0.61/0.80 generalize (zenon_H19 (a143)). zenon_intro zenon_H76. % 0.61/0.80 apply (zenon_imply_s _ _ zenon_H76); [ zenon_intro zenon_H9 | zenon_intro zenon_H77 ]. % 0.61/0.80 exact (zenon_H9 zenon_Ha). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H77); [ zenon_intro zenon_H79 | zenon_intro zenon_H78 ]. % 0.61/0.80 apply (zenon_L98_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H78); [ zenon_intro zenon_H7a | zenon_intro zenon_H74 ]. % 0.61/0.80 exact (zenon_H7a zenon_H6e). % 0.61/0.80 exact (zenon_H74 zenon_H6f). % 0.61/0.80 (* end of lemma zenon_L99_ *) % 0.61/0.80 assert (zenon_L100_ : ((~(hskp24))\/((ndr1_0)/\((~(c0_1 (a182)))/\((~(c2_1 (a182)))/\(~(c3_1 (a182))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(c3_1 X33)))))\/((forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp0)) -> (~(hskp18)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp0)\/(hskp18))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a143)) -> (c2_1 (a143)) -> (~(c1_1 (a143))) -> (c3_1 (a132)) -> (~(c2_1 (a132))) -> (~(c0_1 (a132))) -> (ndr1_0) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp17)\/(hskp24))) -> False). % 0.61/0.80 do 0 intro. intros zenon_H111 zenon_H141 zenon_H41 zenon_H23 zenon_H25 zenon_H27 zenon_H84 zenon_H6f zenon_H6e zenon_H6d zenon_H118 zenon_H116 zenon_H127 zenon_Ha zenon_H122 zenon_H13c. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfe | zenon_intro zenon_H10c ]. % 0.61/0.80 apply (zenon_L97_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Ha. zenon_intro zenon_H10e. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H102 | zenon_intro zenon_H142 ]. % 0.61/0.80 apply (zenon_L78_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H13e | zenon_intro zenon_H42 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H19 | zenon_intro zenon_H28 ]. % 0.61/0.80 apply (zenon_L99_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H24 | zenon_intro zenon_H26 ]. % 0.61/0.80 exact (zenon_H23 zenon_H24). % 0.61/0.80 exact (zenon_H25 zenon_H26). % 0.61/0.80 exact (zenon_H41 zenon_H42). % 0.61/0.80 (* end of lemma zenon_L100_ *) % 0.61/0.80 assert (zenon_L101_ : ((ndr1_0)/\((c2_1 (a143))/\((c3_1 (a143))/\(~(c1_1 (a143)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(hskp12))) -> (~(hskp12)) -> ((~(hskp24))\/((ndr1_0)/\((~(c0_1 (a182)))/\((~(c2_1 (a182)))/\(~(c3_1 (a182))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(c3_1 X33)))))\/((forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp0)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp0)\/(hskp18))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a132)) -> (~(c2_1 (a132))) -> (~(c0_1 (a132))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp17)\/(hskp24))) -> (~(hskp6)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6))) -> ((~(hskp25))\/((ndr1_0)/\((c3_1 (a189))/\((~(c0_1 (a189)))/\(~(c1_1 (a189))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a160))/\((~(c1_1 (a160)))/\(~(c2_1 (a160))))))) -> False). % 0.61/0.80 do 0 intro. intros zenon_Ha8 zenon_H143 zenon_H12b zenon_H1 zenon_H111 zenon_H141 zenon_H41 zenon_H23 zenon_H27 zenon_H84 zenon_H118 zenon_H116 zenon_H127 zenon_H13c zenon_H3b zenon_H3d zenon_H67 zenon_H68. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H6e. zenon_intro zenon_Haa. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H122 | zenon_intro zenon_H136 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H25 | zenon_intro zenon_H69 ]. % 0.61/0.80 apply (zenon_L100_); trivial. % 0.61/0.80 apply (zenon_L35_); trivial. % 0.61/0.80 apply (zenon_L94_); trivial. % 0.61/0.80 (* end of lemma zenon_L101_ *) % 0.61/0.80 assert (zenon_L102_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/(hskp6))) -> (c3_1 (a132)) -> (~(c2_1 (a132))) -> (forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))) -> (~(c0_1 (a132))) -> (c3_1 (a142)) -> (c0_1 (a142)) -> (~(c1_1 (a142))) -> (ndr1_0) -> (~(hskp6)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H93 zenon_H118 zenon_H116 zenon_Hb zenon_H127 zenon_H8c zenon_H8b zenon_H8a zenon_Ha zenon_H3b. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H2b | zenon_intro zenon_H94 ]. % 0.61/0.80 apply (zenon_L95_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H6c | zenon_intro zenon_H3c ]. % 0.61/0.80 apply (zenon_L38_); trivial. % 0.61/0.80 exact (zenon_H3b zenon_H3c). % 0.61/0.80 (* end of lemma zenon_L102_ *) % 0.61/0.80 assert (zenon_L103_ : (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22)))))) -> (ndr1_0) -> (forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))) -> (c2_1 (a143)) -> (c3_1 (a143)) -> (~(c1_1 (a143))) -> False). % 0.61/0.80 do 0 intro. intros zenon_H2b zenon_Ha zenon_H13e zenon_H6e zenon_H6f zenon_H6d. % 0.61/0.80 generalize (zenon_H2b (a143)). zenon_intro zenon_H144. % 0.61/0.80 apply (zenon_imply_s _ _ zenon_H144); [ zenon_intro zenon_H9 | zenon_intro zenon_H145 ]. % 0.61/0.80 exact (zenon_H9 zenon_Ha). % 0.61/0.80 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H79 | zenon_intro zenon_H146 ]. % 0.61/0.80 apply (zenon_L98_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H73 | zenon_intro zenon_H74 ]. % 0.61/0.80 exact (zenon_H6d zenon_H73). % 0.61/0.80 exact (zenon_H74 zenon_H6f). % 0.61/0.80 (* end of lemma zenon_L103_ *) % 0.61/0.80 assert (zenon_L104_ : ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(c3_1 X33)))))\/((forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp8))) -> (~(c3_1 (a182))) -> (~(c2_1 (a182))) -> (~(c0_1 (a182))) -> (~(c1_1 (a143))) -> (c3_1 (a143)) -> (c2_1 (a143)) -> (ndr1_0) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22)))))) -> (~(hskp8)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H141 zenon_H105 zenon_H104 zenon_H103 zenon_H6d zenon_H6f zenon_H6e zenon_Ha zenon_H2b zenon_H41. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H102 | zenon_intro zenon_H142 ]. % 0.61/0.80 apply (zenon_L78_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H13e | zenon_intro zenon_H42 ]. % 0.61/0.80 apply (zenon_L103_); trivial. % 0.61/0.80 exact (zenon_H41 zenon_H42). % 0.61/0.80 (* end of lemma zenon_L104_ *) % 0.61/0.80 assert (zenon_L105_ : ((ndr1_0)/\((~(c0_1 (a182)))/\((~(c2_1 (a182)))/\(~(c3_1 (a182)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/(hskp6))) -> (~(hskp8)) -> (c2_1 (a143)) -> (c3_1 (a143)) -> (~(c1_1 (a143))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(c3_1 X33)))))\/((forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp8))) -> (c3_1 (a142)) -> (c0_1 (a142)) -> (~(c1_1 (a142))) -> (~(hskp6)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H10c zenon_H93 zenon_H41 zenon_H6e zenon_H6f zenon_H6d zenon_H141 zenon_H8c zenon_H8b zenon_H8a zenon_H3b. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Ha. zenon_intro zenon_H10e. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H2b | zenon_intro zenon_H94 ]. % 0.61/0.80 apply (zenon_L104_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H6c | zenon_intro zenon_H3c ]. % 0.61/0.80 apply (zenon_L38_); trivial. % 0.61/0.80 exact (zenon_H3b zenon_H3c). % 0.61/0.80 (* end of lemma zenon_L105_ *) % 0.61/0.80 assert (zenon_L106_ : ((ndr1_0)/\((c2_1 (a143))/\((c3_1 (a143))/\(~(c1_1 (a143)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a160))/\((~(c1_1 (a160)))/\(~(c2_1 (a160))))))) -> ((~(hskp25))\/((ndr1_0)/\((c3_1 (a189))/\((~(c0_1 (a189)))/\(~(c1_1 (a189))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6))) -> (~(hskp0)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp0)\/(hskp18))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp15)\/(hskp24))) -> (c1_1 (a127)) -> (~(c3_1 (a127))) -> (~(c2_1 (a127))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(c3_1 X33)))))\/((forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a142))) -> (c0_1 (a142)) -> (c3_1 (a142)) -> (~(hskp6)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((~(c0_1 (a182)))/\((~(c2_1 (a182)))/\(~(c3_1 (a182))))))) -> False). % 0.61/0.80 do 0 intro. intros zenon_Ha8 zenon_H89 zenon_H68 zenon_H67 zenon_H3d zenon_H23 zenon_H27 zenon_H100 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H141 zenon_H41 zenon_H8a zenon_H8b zenon_H8c zenon_H3b zenon_H93 zenon_H111. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H6e. zenon_intro zenon_Haa. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H15 | zenon_intro zenon_H86 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfe | zenon_intro zenon_H10c ]. % 0.61/0.80 apply (zenon_L77_); trivial. % 0.61/0.80 apply (zenon_L105_); trivial. % 0.61/0.80 apply (zenon_L42_); trivial. % 0.61/0.80 (* end of lemma zenon_L106_ *) % 0.61/0.80 assert (zenon_L107_ : ((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a143))/\((c3_1 (a143))/\(~(c1_1 (a143))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp15)\/(hskp24))) -> (c1_1 (a127)) -> (~(c3_1 (a127))) -> (~(c2_1 (a127))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(c3_1 X33)))))\/((forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp24))\/((ndr1_0)/\((~(c0_1 (a182)))/\((~(c2_1 (a182)))/\(~(c3_1 (a182))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp15)\/(hskp13))) -> (~(c0_1 (a132))) -> (~(c2_1 (a132))) -> (c3_1 (a132)) -> (~(hskp6)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/(hskp6))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp0)\/(hskp18))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6))) -> ((~(hskp25))\/((ndr1_0)/\((c3_1 (a189))/\((~(c0_1 (a189)))/\(~(c1_1 (a189))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a160))/\((~(c1_1 (a160)))/\(~(c2_1 (a160))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153))))))) -> False). % 0.61/0.80 do 0 intro. intros zenon_Hab zenon_Haf zenon_H100 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H141 zenon_H41 zenon_H111 zenon_H17 zenon_H127 zenon_H116 zenon_H118 zenon_H3b zenon_H93 zenon_H27 zenon_H23 zenon_H3d zenon_H67 zenon_H68 zenon_H89. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H8b. zenon_intro zenon_Had. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha8 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H15 | zenon_intro zenon_H86 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H17); [ zenon_intro zenon_Hb | zenon_intro zenon_H18 ]. % 0.61/0.80 apply (zenon_L102_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H18); [ zenon_intro zenon_H16 | zenon_intro zenon_H6 ]. % 0.61/0.80 exact (zenon_H15 zenon_H16). % 0.61/0.80 exact (zenon_H5 zenon_H6). % 0.61/0.80 apply (zenon_L42_); trivial. % 0.61/0.80 apply (zenon_L106_); trivial. % 0.61/0.80 (* end of lemma zenon_L107_ *) % 0.61/0.80 assert (zenon_L108_ : ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40)))))))) -> (c3_1 (a132)) -> (~(c2_1 (a132))) -> (forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))) -> (c1_1 (a127)) -> (~(c3_1 (a127))) -> (~(c2_1 (a127))) -> (ndr1_0) -> (~(c2_1 (a164))) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y)))))) -> (c1_1 (a164)) -> (c3_1 (a164)) -> False). % 0.61/0.80 do 0 intro. intros zenon_Hfc zenon_H118 zenon_H116 zenon_Hb zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_Ha zenon_Hc zenon_Hd1 zenon_Hd zenon_He. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H7d | zenon_intro zenon_Hfd ]. % 0.61/0.80 apply (zenon_L87_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H29 ]. % 0.61/0.80 apply (zenon_L74_); trivial. % 0.61/0.80 apply (zenon_L63_); trivial. % 0.61/0.80 (* end of lemma zenon_L108_ *) % 0.61/0.80 assert (zenon_L109_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40)))))))) -> (c3_1 (a132)) -> (~(c2_1 (a132))) -> (c1_1 (a127)) -> (~(c3_1 (a127))) -> (~(c2_1 (a127))) -> (ndr1_0) -> (~(c2_1 (a164))) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y)))))) -> (c1_1 (a164)) -> (c3_1 (a164)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H147 zenon_Hb5 zenon_Hb4 zenon_Hb3 zenon_Hfc zenon_H118 zenon_H116 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_Ha zenon_Hc zenon_Hd1 zenon_Hd zenon_He. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H148 ]. % 0.61/0.80 apply (zenon_L55_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hb ]. % 0.61/0.80 apply (zenon_L74_); trivial. % 0.61/0.80 apply (zenon_L108_); trivial. % 0.61/0.80 (* end of lemma zenon_L109_ *) % 0.61/0.80 assert (zenon_L110_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (c1_1 (a127)) -> (~(c3_1 (a127))) -> (~(c2_1 (a127))) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22)))))) -> (ndr1_0) -> (~(c0_1 (a132))) -> (~(c2_1 (a132))) -> (c3_1 (a132)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H147 zenon_Hb5 zenon_Hb4 zenon_Hb3 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H2b zenon_Ha zenon_H127 zenon_H116 zenon_H118. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H148 ]. % 0.61/0.80 apply (zenon_L55_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hb ]. % 0.61/0.80 apply (zenon_L74_); trivial. % 0.61/0.80 apply (zenon_L95_); trivial. % 0.61/0.80 (* end of lemma zenon_L110_ *) % 0.61/0.80 assert (zenon_L111_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (c1_1 (a127)) -> (~(c3_1 (a127))) -> (~(c2_1 (a127))) -> (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26)))))) -> (ndr1_0) -> (~(c2_1 (a132))) -> (c3_1 (a132)) -> False). % 0.61/0.80 do 0 intro. intros zenon_H147 zenon_Hb5 zenon_Hb4 zenon_Hb3 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H7d zenon_Ha zenon_H116 zenon_H118. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H148 ]. % 0.61/0.80 apply (zenon_L55_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hb ]. % 0.61/0.80 apply (zenon_L74_); trivial. % 0.61/0.80 apply (zenon_L87_); trivial. % 0.61/0.80 (* end of lemma zenon_L111_ *) % 0.61/0.80 assert (zenon_L112_ : ((ndr1_0)/\((c2_1 (a143))/\((c3_1 (a143))/\(~(c1_1 (a143)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a132))) -> (c3_1 (a132)) -> (~(c2_1 (a132))) -> (~(c2_1 (a127))) -> (~(c3_1 (a127))) -> (c1_1 (a127)) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c2_1 (a134)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> False). % 0.61/0.80 do 0 intro. intros zenon_Ha8 zenon_H84 zenon_H127 zenon_H118 zenon_H116 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_Hb3 zenon_Hb4 zenon_Hb5 zenon_H147. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H6e. zenon_intro zenon_Haa. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H2b | zenon_intro zenon_H85 ]. % 0.61/0.80 apply (zenon_L110_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H7d | zenon_intro zenon_H81 ]. % 0.61/0.80 apply (zenon_L111_); trivial. % 0.61/0.80 apply (zenon_L33_); trivial. % 0.61/0.80 (* end of lemma zenon_L112_ *) % 0.61/0.80 assert (zenon_L113_ : ((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/(hskp6))) -> (c3_1 (a132)) -> (~(c2_1 (a132))) -> (~(c0_1 (a132))) -> (~(c2_1 (a127))) -> (~(c3_1 (a127))) -> (c1_1 (a127)) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c2_1 (a134)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(hskp6)) -> False). % 0.61/0.80 do 0 intro. intros zenon_Hab zenon_H93 zenon_H118 zenon_H116 zenon_H127 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_Hb3 zenon_Hb4 zenon_Hb5 zenon_H147 zenon_H3b. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H8b. zenon_intro zenon_Had. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H2b | zenon_intro zenon_H94 ]. % 0.61/0.80 apply (zenon_L110_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H6c | zenon_intro zenon_H3c ]. % 0.61/0.80 apply (zenon_L38_); trivial. % 0.61/0.80 exact (zenon_H3b zenon_H3c). % 0.61/0.80 (* end of lemma zenon_L113_ *) % 0.61/0.80 assert (zenon_L114_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c2_1 (a132)))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a134))/\((~(c0_1 (a134)))/\(~(c3_1 (a134))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a143))/\((c3_1 (a143))/\(~(c1_1 (a143))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c0_1 (a182)))/\((~(c2_1 (a182)))/\(~(c3_1 (a182))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(c3_1 X33)))))\/((forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp8))) -> (~(hskp0)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp0)\/(hskp18))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp17)\/(hskp24))) -> (~(hskp6)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6))) -> ((~(hskp25))\/((ndr1_0)/\((c3_1 (a189))/\((~(c0_1 (a189)))/\(~(c1_1 (a189))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a160))/\((~(c1_1 (a160)))/\(~(c2_1 (a160))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(hskp12))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp17)\/(hskp13))) -> (~(c2_1 (a127))) -> (~(c3_1 (a127))) -> (c1_1 (a127)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40)))))))) -> ((hskp12)\/((hskp19)\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/(hskp6))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp15)\/(hskp13))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp15)\/(hskp24))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142))))))) -> False). % 0.61/0.80 do 0 intro. intros zenon_H149 zenon_H14a zenon_H147 zenon_Haf zenon_H111 zenon_H141 zenon_H23 zenon_H27 zenon_H84 zenon_H13c zenon_H3b zenon_H3d zenon_H67 zenon_H68 zenon_H95 zenon_H14b zenon_H12b zenon_H124 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_Hfc zenon_H7 zenon_H143 zenon_H89 zenon_H93 zenon_H17 zenon_H100 zenon_Hae. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_Ha. zenon_intro zenon_H14c. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H118. zenon_intro zenon_H14d. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H127. zenon_intro zenon_H116. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H41 | zenon_intro zenon_Hce ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha8 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H122 | zenon_intro zenon_H136 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H96 ]. % 0.61/0.80 apply (zenon_L4_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_Ha. zenon_intro zenon_H97. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_Hd. zenon_intro zenon_H98. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H14e ]. % 0.61/0.80 apply (zenon_L90_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H126 | zenon_intro zenon_H29 ]. % 0.61/0.80 apply (zenon_L91_); trivial. % 0.61/0.80 apply (zenon_L92_); trivial. % 0.61/0.80 apply (zenon_L94_); trivial. % 0.61/0.80 apply (zenon_L101_); trivial. % 0.61/0.80 apply (zenon_L107_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Ha. zenon_intro zenon_Hcf. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hb5. zenon_intro zenon_Hd0. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_Hb3. zenon_intro zenon_Hb4. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha8 ]. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H96 ]. % 0.61/0.80 apply (zenon_L4_); trivial. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_Ha. zenon_intro zenon_H97. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_Hd. zenon_intro zenon_H98. % 0.61/0.80 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H14e ]. % 0.61/0.80 apply (zenon_L109_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H14e); [ zenon_intro zenon_H126 | zenon_intro zenon_H29 ]. % 0.61/0.80 apply (zenon_L91_); trivial. % 0.61/0.80 apply (zenon_L92_); trivial. % 0.61/0.80 apply (zenon_L112_); trivial. % 0.61/0.80 apply (zenon_L113_); trivial. % 0.61/0.80 (* end of lemma zenon_L114_ *) % 0.61/0.80 assert (zenon_L115_ : ((ndr1_0)/\((~(c0_1 (a131)))/\((~(c1_1 (a131)))/\(~(c2_1 (a131)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp0))) -> (c1_1 (a127)) -> (~(c3_1 (a127))) -> (~(c2_1 (a127))) -> (~(hskp0)) -> False). % 0.61/0.80 do 0 intro. intros zenon_Hef zenon_H14f zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H23. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Ha. zenon_intro zenon_Hf0. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He1. zenon_intro zenon_Hf1. % 0.61/0.80 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_He2. zenon_intro zenon_He3. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_He0 | zenon_intro zenon_H150 ]. % 0.61/0.80 apply (zenon_L70_); trivial. % 0.61/0.80 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H24 ]. % 0.61/0.81 apply (zenon_L74_); trivial. % 0.61/0.81 exact (zenon_H23 zenon_H24). % 0.61/0.81 (* end of lemma zenon_L115_ *) % 0.61/0.81 assert (zenon_L116_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a143))/\((c3_1 (a143))/\(~(c1_1 (a143))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((hskp3)\/(hskp15))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp15)\/(hskp13))) -> (~(hskp12)) -> ((hskp12)\/((hskp19)\/(hskp13))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp0)\/(hskp18))) -> (~(hskp0)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp3)\/(hskp13))) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6))) -> (~(hskp6)) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((hskp28)\/(hskp8))) -> (~(hskp9)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp9)\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c3_1 (a189))/\((~(c0_1 (a189)))/\(~(c1_1 (a189))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a160))/\((~(c1_1 (a160)))/\(~(c2_1 (a160))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153))))))) -> False). % 0.61/0.81 do 0 intro. intros zenon_Haf zenon_H7b zenon_H84 zenon_H95 zenon_H17 zenon_H1 zenon_H7 zenon_H27 zenon_H23 zenon_H64 zenon_H50 zenon_H4d zenon_H3d zenon_H3b zenon_H41 zenon_H5d zenon_H5f zenon_H61 zenon_H67 zenon_H68 zenon_H89. % 0.61/0.81 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha8 ]. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H15 | zenon_intro zenon_H86 ]. % 0.61/0.81 apply (zenon_L44_); trivial. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_Ha. zenon_intro zenon_H87. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H1b. zenon_intro zenon_H88. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H1c. zenon_intro zenon_H1a. % 0.61/0.81 apply (zenon_L28_); trivial. % 0.61/0.81 apply (zenon_L68_); trivial. % 0.61/0.81 (* end of lemma zenon_L116_ *) % 0.61/0.81 assert (zenon_L117_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/(hskp6))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a160))/\((~(c1_1 (a160)))/\(~(c2_1 (a160))))))) -> ((~(hskp25))\/((ndr1_0)/\((c3_1 (a189))/\((~(c0_1 (a189)))/\(~(c1_1 (a189))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp9)\/(hskp8))) -> (~(hskp9)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((hskp28)\/(hskp8))) -> (~(hskp8)) -> (~(hskp6)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6))) -> (~(hskp3)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp3)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> (~(hskp0)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp0)\/(hskp18))) -> ((hskp12)\/((hskp19)\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp15)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((hskp3)\/(hskp15))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a143))/\((c3_1 (a143))/\(~(c1_1 (a143))))))) -> False). % 0.61/0.81 do 0 intro. intros zenon_Hae zenon_H93 zenon_H89 zenon_H68 zenon_H67 zenon_H61 zenon_H5f zenon_H5d zenon_H41 zenon_H3b zenon_H3d zenon_H4d zenon_H50 zenon_H64 zenon_H23 zenon_H27 zenon_H7 zenon_H17 zenon_H95 zenon_H84 zenon_H7b zenon_Haf. % 0.61/0.81 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.81 apply (zenon_L116_); trivial. % 0.61/0.81 apply (zenon_L69_); trivial. % 0.61/0.81 (* end of lemma zenon_L117_ *) % 0.61/0.81 assert (zenon_L118_ : ((~(hskp8))\/((ndr1_0)/\((c2_1 (a134))/\((~(c0_1 (a134)))/\(~(c3_1 (a134))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a136))/\((c1_1 (a136))/\(c2_1 (a136)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((~(c1_1 X21))\/(~(c2_1 X21)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp29)\/(hskp7))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/(hskp6))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a160))/\((~(c1_1 (a160)))/\(~(c2_1 (a160))))))) -> ((~(hskp25))\/((ndr1_0)/\((c3_1 (a189))/\((~(c0_1 (a189)))/\(~(c1_1 (a189))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp9)\/(hskp8))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((hskp28)\/(hskp8))) -> (~(hskp6)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6))) -> (~(hskp3)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp3)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> (~(hskp0)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp0)\/(hskp18))) -> ((hskp12)\/((hskp19)\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp15)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((hskp3)\/(hskp15))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a143))/\((c3_1 (a143))/\(~(c1_1 (a143))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a138))/\((c1_1 (a138))/\(~(c2_1 (a138))))))) -> False). % 0.61/0.81 do 0 intro. intros zenon_H14a zenon_Hcb zenon_Hc7 zenon_Hcc zenon_Hae zenon_H93 zenon_H89 zenon_H68 zenon_H67 zenon_H61 zenon_H5d zenon_H3b zenon_H3d zenon_H4d zenon_H50 zenon_H64 zenon_H23 zenon_H27 zenon_H7 zenon_H17 zenon_H95 zenon_H84 zenon_H7b zenon_Haf zenon_Ha7 zenon_Ha5 zenon_Ha3 zenon_H115. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H41 | zenon_intro zenon_Hce ]. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H5f | zenon_intro zenon_H112 ]. % 0.61/0.81 apply (zenon_L117_); trivial. % 0.61/0.81 apply (zenon_L82_); trivial. % 0.61/0.81 apply (zenon_L61_); trivial. % 0.61/0.81 (* end of lemma zenon_L118_ *) % 0.61/0.81 assert (zenon_L119_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((hskp28)\/(hskp8))) -> (~(hskp13)) -> (~(hskp17)) -> (ndr1_0) -> (~(c0_1 (a132))) -> (~(c2_1 (a132))) -> (c3_1 (a132)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp17)\/(hskp13))) -> (~(hskp28)) -> (~(hskp8)) -> False). % 0.61/0.81 do 0 intro. intros zenon_H5d zenon_H5 zenon_H122 zenon_Ha zenon_H127 zenon_H116 zenon_H118 zenon_H124 zenon_H3f zenon_H41. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H2b | zenon_intro zenon_H5e ]. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hb | zenon_intro zenon_H125 ]. % 0.61/0.81 apply (zenon_L95_); trivial. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H123 | zenon_intro zenon_H6 ]. % 0.61/0.81 exact (zenon_H122 zenon_H123). % 0.61/0.81 exact (zenon_H5 zenon_H6). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H40 | zenon_intro zenon_H42 ]. % 0.61/0.81 exact (zenon_H3f zenon_H40). % 0.61/0.81 exact (zenon_H41 zenon_H42). % 0.61/0.81 (* end of lemma zenon_L119_ *) % 0.61/0.81 assert (zenon_L120_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp3)\/(hskp13))) -> (~(hskp3)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp17)\/(hskp13))) -> (~(hskp13)) -> (~(hskp17)) -> (c3_1 (a132)) -> (~(c2_1 (a132))) -> (~(c0_1 (a132))) -> (ndr1_0) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((hskp28)\/(hskp8))) -> False). % 0.61/0.81 do 0 intro. intros zenon_H64 zenon_H50 zenon_H4d zenon_H124 zenon_H5 zenon_H122 zenon_H118 zenon_H116 zenon_H127 zenon_Ha zenon_H41 zenon_H5d. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H3f | zenon_intro zenon_H4f ]. % 0.61/0.81 apply (zenon_L119_); trivial. % 0.61/0.81 apply (zenon_L21_); trivial. % 0.61/0.81 (* end of lemma zenon_L120_ *) % 0.61/0.81 assert (zenon_L121_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((hskp28)\/(hskp8))) -> (~(hskp8)) -> (ndr1_0) -> (~(c0_1 (a132))) -> (~(c2_1 (a132))) -> (c3_1 (a132)) -> (~(hskp13)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp17)\/(hskp13))) -> (~(hskp3)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp3)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> False). % 0.61/0.81 do 0 intro. intros zenon_H143 zenon_H12b zenon_H1 zenon_H5d zenon_H41 zenon_Ha zenon_H127 zenon_H116 zenon_H118 zenon_H5 zenon_H124 zenon_H4d zenon_H50 zenon_H64. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H122 | zenon_intro zenon_H136 ]. % 0.61/0.81 apply (zenon_L120_); trivial. % 0.61/0.81 apply (zenon_L94_); trivial. % 0.61/0.81 (* end of lemma zenon_L121_ *) % 0.61/0.81 assert (zenon_L122_ : (forall X51 : zenon_U, ((ndr1_0)->((c0_1 X51)\/((~(c1_1 X51))\/(~(c2_1 X51)))))) -> (ndr1_0) -> (~(c0_1 (a125))) -> (c1_1 (a125)) -> (c2_1 (a125)) -> False). % 0.61/0.81 do 0 intro. intros zenon_H151 zenon_Ha zenon_H152 zenon_H153 zenon_H154. % 0.61/0.81 generalize (zenon_H151 (a125)). zenon_intro zenon_H155. % 0.61/0.81 apply (zenon_imply_s _ _ zenon_H155); [ zenon_intro zenon_H9 | zenon_intro zenon_H156 ]. % 0.61/0.81 exact (zenon_H9 zenon_Ha). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H158 | zenon_intro zenon_H157 ]. % 0.61/0.81 exact (zenon_H152 zenon_H158). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H15a | zenon_intro zenon_H159 ]. % 0.61/0.81 exact (zenon_H15a zenon_H153). % 0.61/0.81 exact (zenon_H159 zenon_H154). % 0.61/0.81 (* end of lemma zenon_L122_ *) % 0.61/0.81 assert (zenon_L123_ : (forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))) -> (ndr1_0) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> (c2_1 (a134)) -> False). % 0.61/0.81 do 0 intro. intros zenon_H15b zenon_Ha zenon_Hb4 zenon_H15c zenon_Hb5. % 0.61/0.81 generalize (zenon_H15b (a134)). zenon_intro zenon_H15d. % 0.61/0.81 apply (zenon_imply_s _ _ zenon_H15d); [ zenon_intro zenon_H9 | zenon_intro zenon_H15e ]. % 0.61/0.81 exact (zenon_H9 zenon_Ha). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hbb | zenon_intro zenon_H15f ]. % 0.61/0.81 exact (zenon_Hb4 zenon_Hbb). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H160 | zenon_intro zenon_Hba ]. % 0.61/0.81 exact (zenon_H160 zenon_H15c). % 0.61/0.81 exact (zenon_Hba zenon_Hb5). % 0.61/0.81 (* end of lemma zenon_L123_ *) % 0.61/0.81 assert (zenon_L124_ : (forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71)))))) -> (ndr1_0) -> (forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))) -> (~(c3_1 (a134))) -> (c2_1 (a134)) -> False). % 0.61/0.81 do 0 intro. intros zenon_H161 zenon_Ha zenon_H15b zenon_Hb4 zenon_Hb5. % 0.61/0.81 generalize (zenon_H161 (a134)). zenon_intro zenon_H162. % 0.61/0.81 apply (zenon_imply_s _ _ zenon_H162); [ zenon_intro zenon_H9 | zenon_intro zenon_H163 ]. % 0.61/0.81 exact (zenon_H9 zenon_Ha). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H15c | zenon_intro zenon_Hb8 ]. % 0.61/0.81 apply (zenon_L123_); trivial. % 0.61/0.81 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ]. % 0.61/0.81 exact (zenon_Hb4 zenon_Hbb). % 0.61/0.81 exact (zenon_Hba zenon_Hb5). % 0.61/0.81 (* end of lemma zenon_L124_ *) % 0.61/0.81 assert (zenon_L125_ : (~(hskp22)) -> (hskp22) -> False). % 0.61/0.81 do 0 intro. intros zenon_H164 zenon_H165. % 0.61/0.81 exact (zenon_H164 zenon_H165). % 0.61/0.81 (* end of lemma zenon_L125_ *) % 0.61/0.81 assert (zenon_L126_ : ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp22)) -> (~(hskp22)) -> (c2_1 (a134)) -> (~(c3_1 (a134))) -> (ndr1_0) -> (forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71)))))) -> False). % 0.61/0.81 do 0 intro. intros zenon_H166 zenon_H164 zenon_Hb5 zenon_Hb4 zenon_Ha zenon_H161. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H15b | zenon_intro zenon_H165 ]. % 0.61/0.81 apply (zenon_L124_); trivial. % 0.61/0.81 exact (zenon_H164 zenon_H165). % 0.61/0.81 (* end of lemma zenon_L126_ *) % 0.61/0.81 assert (zenon_L127_ : (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13)))))) -> (ndr1_0) -> (~(c0_1 (a134))) -> (forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))) -> (~(c3_1 (a134))) -> (c2_1 (a134)) -> False). % 0.61/0.81 do 0 intro. intros zenon_H167 zenon_Ha zenon_Hb3 zenon_H15b zenon_Hb4 zenon_Hb5. % 0.61/0.81 generalize (zenon_H167 (a134)). zenon_intro zenon_H168. % 0.61/0.81 apply (zenon_imply_s _ _ zenon_H168); [ zenon_intro zenon_H9 | zenon_intro zenon_H169 ]. % 0.61/0.81 exact (zenon_H9 zenon_Ha). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H16a ]. % 0.61/0.81 exact (zenon_Hb3 zenon_Hb9). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H15c | zenon_intro zenon_Hba ]. % 0.61/0.81 apply (zenon_L123_); trivial. % 0.61/0.81 exact (zenon_Hba zenon_Hb5). % 0.61/0.81 (* end of lemma zenon_L127_ *) % 0.61/0.81 assert (zenon_L128_ : ((forall X51 : zenon_U, ((ndr1_0)->((c0_1 X51)\/((~(c1_1 X51))\/(~(c2_1 X51))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/(forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))))) -> (c2_1 (a125)) -> (c1_1 (a125)) -> (~(c0_1 (a125))) -> (~(hskp22)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp22)) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13)))))) -> (ndr1_0) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c2_1 (a134)) -> False). % 0.61/0.81 do 0 intro. intros zenon_H16b zenon_H154 zenon_H153 zenon_H152 zenon_H164 zenon_H166 zenon_H167 zenon_Ha zenon_Hb3 zenon_Hb4 zenon_Hb5. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H151 | zenon_intro zenon_H16c ]. % 0.61/0.81 apply (zenon_L122_); trivial. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H161 | zenon_intro zenon_H15b ]. % 0.61/0.81 apply (zenon_L126_); trivial. % 0.61/0.81 apply (zenon_L127_); trivial. % 0.61/0.81 (* end of lemma zenon_L128_ *) % 0.61/0.81 assert (zenon_L129_ : (~(hskp4)) -> (hskp4) -> False). % 0.61/0.81 do 0 intro. intros zenon_H16d zenon_H16e. % 0.61/0.81 exact (zenon_H16d zenon_H16e). % 0.61/0.81 (* end of lemma zenon_L129_ *) % 0.61/0.81 assert (zenon_L130_ : (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44)))))) -> (ndr1_0) -> (~(c1_1 (a176))) -> (~(c2_1 (a176))) -> (c0_1 (a176)) -> False). % 0.61/0.81 do 0 intro. intros zenon_H16f zenon_Ha zenon_H170 zenon_H171 zenon_H172. % 0.61/0.81 generalize (zenon_H16f (a176)). zenon_intro zenon_H173. % 0.61/0.81 apply (zenon_imply_s _ _ zenon_H173); [ zenon_intro zenon_H9 | zenon_intro zenon_H174 ]. % 0.61/0.81 exact (zenon_H9 zenon_Ha). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H176 | zenon_intro zenon_H175 ]. % 0.61/0.81 exact (zenon_H170 zenon_H176). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H175); [ zenon_intro zenon_H178 | zenon_intro zenon_H177 ]. % 0.61/0.81 exact (zenon_H171 zenon_H178). % 0.61/0.81 exact (zenon_H177 zenon_H172). % 0.61/0.81 (* end of lemma zenon_L130_ *) % 0.61/0.81 assert (zenon_L131_ : (forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y)))))) -> (~(c2_1 (a164))) -> (c1_1 (a164)) -> (c3_1 (a164)) -> False). % 0.61/0.81 do 0 intro. intros zenon_H179 zenon_Ha zenon_Hd1 zenon_Hc zenon_Hd zenon_He. % 0.61/0.81 generalize (zenon_H179 (a164)). zenon_intro zenon_H17a. % 0.61/0.81 apply (zenon_imply_s _ _ zenon_H17a); [ zenon_intro zenon_H9 | zenon_intro zenon_H17b ]. % 0.61/0.81 exact (zenon_H9 zenon_Ha). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H11 ]. % 0.61/0.81 apply (zenon_L62_); trivial. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H11); [ zenon_intro zenon_H14 | zenon_intro zenon_H13 ]. % 0.61/0.81 exact (zenon_H14 zenon_Hd). % 0.61/0.81 exact (zenon_H13 zenon_He). % 0.61/0.81 (* end of lemma zenon_L131_ *) % 0.61/0.81 assert (zenon_L132_ : ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (c3_1 (a153)) -> (c2_1 (a153)) -> (~(c0_1 (a153))) -> (c0_1 (a176)) -> (~(c2_1 (a176))) -> (~(c1_1 (a176))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y)))))) -> (~(c2_1 (a164))) -> (c1_1 (a164)) -> (c3_1 (a164)) -> False). % 0.61/0.81 do 0 intro. intros zenon_H17c zenon_H1c zenon_H1b zenon_H1a zenon_H172 zenon_H171 zenon_H170 zenon_Ha zenon_Hd1 zenon_Hc zenon_Hd zenon_He. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H19 | zenon_intro zenon_H17d ]. % 0.61/0.81 apply (zenon_L9_); trivial. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H16f | zenon_intro zenon_H179 ]. % 0.61/0.81 apply (zenon_L130_); trivial. % 0.61/0.81 apply (zenon_L131_); trivial. % 0.61/0.81 (* end of lemma zenon_L132_ *) % 0.61/0.81 assert (zenon_L133_ : ((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(hskp13))) -> (c3_1 (a164)) -> (c1_1 (a164)) -> (~(c2_1 (a164))) -> (~(c0_1 (a153))) -> (c2_1 (a153)) -> (c3_1 (a153)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (~(hskp13)) -> False). % 0.61/0.81 do 0 intro. intros zenon_H17e zenon_H17f zenon_He zenon_Hd zenon_Hc zenon_H1a zenon_H1b zenon_H1c zenon_H17c zenon_H5. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_Ha. zenon_intro zenon_H180. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H172. zenon_intro zenon_H181. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H182 ]. % 0.61/0.81 apply (zenon_L132_); trivial. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H16f | zenon_intro zenon_H6 ]. % 0.61/0.81 apply (zenon_L130_); trivial. % 0.61/0.81 exact (zenon_H5 zenon_H6). % 0.61/0.81 (* end of lemma zenon_L133_ *) % 0.61/0.81 assert (zenon_L134_ : ((~(hskp7))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c2_1 (a132))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(hskp13))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c0_1 X51)\/((~(c1_1 X51))\/(~(c2_1 X51))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/(forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp22)) -> (c2_1 (a125)) -> (c1_1 (a125)) -> (~(c0_1 (a125))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp1)\/(hskp3))) -> (~(hskp1)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(hskp4))) -> ((~(hskp24))\/((ndr1_0)/\((~(c0_1 (a182)))/\((~(c2_1 (a182)))/\(~(c3_1 (a182))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(c3_1 X33)))))\/((forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp17)\/(hskp24))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp17)\/(hskp13))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/(hskp12))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a138))/\((c1_1 (a138))/\(~(c2_1 (a138))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a143))/\((c3_1 (a143))/\(~(c1_1 (a143))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((hskp3)\/(hskp15))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp15)\/(hskp13))) -> ((hskp12)\/((hskp19)\/(hskp13))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp0)\/(hskp18))) -> (~(hskp0)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp3)\/(hskp13))) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6))) -> (~(hskp6)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((hskp28)\/(hskp8))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp9)\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c3_1 (a189))/\((~(c0_1 (a189)))/\(~(c1_1 (a189))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a160))/\((~(c1_1 (a160)))/\(~(c2_1 (a160))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/(hskp6))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp29)\/(hskp7))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((~(c1_1 X21))\/(~(c2_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a136))/\((c1_1 (a136))/\(c2_1 (a136)))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a134))/\((~(c0_1 (a134)))/\(~(c3_1 (a134))))))) -> False). % 0.61/0.81 do 0 intro. intros zenon_H183 zenon_H184 zenon_H17f zenon_H17c zenon_H16b zenon_H166 zenon_H154 zenon_H153 zenon_H152 zenon_Hdc zenon_Hda zenon_H16d zenon_H185 zenon_H111 zenon_H141 zenon_H13c zenon_H124 zenon_H12b zenon_H143 zenon_H115 zenon_Ha5 zenon_Ha7 zenon_Haf zenon_H7b zenon_H84 zenon_H95 zenon_H17 zenon_H7 zenon_H27 zenon_H23 zenon_H64 zenon_H50 zenon_H4d zenon_H3d zenon_H3b zenon_H5d zenon_H61 zenon_H67 zenon_H68 zenon_H89 zenon_H93 zenon_Hae zenon_Hcc zenon_Hc7 zenon_Hcb zenon_H14a. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H149 ]. % 0.61/0.81 apply (zenon_L118_); trivial. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_Ha. zenon_intro zenon_H14c. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H118. zenon_intro zenon_H14d. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H127. zenon_intro zenon_H116. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H41 | zenon_intro zenon_Hce ]. % 0.61/0.81 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.81 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha8 ]. % 0.61/0.81 apply (zenon_L121_); trivial. % 0.61/0.81 apply (zenon_L101_); trivial. % 0.61/0.81 apply (zenon_L69_); trivial. % 0.61/0.81 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Ha. zenon_intro zenon_Hcf. % 0.61/0.81 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hb5. zenon_intro zenon_Hd0. % 0.61/0.81 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_Hb3. zenon_intro zenon_Hb4. % 0.61/0.81 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.81 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha8 ]. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H15 | zenon_intro zenon_H86 ]. % 0.61/0.81 apply (zenon_L44_); trivial. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_Ha. zenon_intro zenon_H87. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H1b. zenon_intro zenon_H88. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H1c. zenon_intro zenon_H1a. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H96 ]. % 0.61/0.81 apply (zenon_L4_); trivial. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_Ha. zenon_intro zenon_H97. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_Hd. zenon_intro zenon_H98. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H164 | zenon_intro zenon_H17e ]. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H167 | zenon_intro zenon_H186 ]. % 0.61/0.81 apply (zenon_L128_); trivial. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H16e ]. % 0.61/0.81 apply (zenon_L65_); trivial. % 0.61/0.81 exact (zenon_H16d zenon_H16e). % 0.61/0.81 apply (zenon_L133_); trivial. % 0.61/0.81 apply (zenon_L68_); trivial. % 0.61/0.81 apply (zenon_L69_); trivial. % 0.61/0.81 (* end of lemma zenon_L134_ *) % 0.61/0.81 assert (zenon_L135_ : ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp22)\/(hskp7))) -> (c3_1 (a143)) -> (c2_1 (a143)) -> (~(c1_1 (a143))) -> (ndr1_0) -> (~(hskp22)) -> (~(hskp7)) -> False). % 0.61/0.81 do 0 intro. intros zenon_H187 zenon_H6f zenon_H6e zenon_H6d zenon_Ha zenon_H164 zenon_Ha3. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H81 | zenon_intro zenon_H188 ]. % 0.61/0.81 apply (zenon_L33_); trivial. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H165 | zenon_intro zenon_Ha4 ]. % 0.61/0.81 exact (zenon_H164 zenon_H165). % 0.61/0.81 exact (zenon_Ha3 zenon_Ha4). % 0.61/0.81 (* end of lemma zenon_L135_ *) % 0.61/0.81 assert (zenon_L136_ : (~(hskp23)) -> (hskp23) -> False). % 0.61/0.81 do 0 intro. intros zenon_H189 zenon_H18a. % 0.61/0.81 exact (zenon_H189 zenon_H18a). % 0.61/0.81 (* end of lemma zenon_L136_ *) % 0.61/0.81 assert (zenon_L137_ : ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp8)\/(hskp23))) -> (c3_1 (a143)) -> (c2_1 (a143)) -> (~(c1_1 (a143))) -> (ndr1_0) -> (~(hskp8)) -> (~(hskp23)) -> False). % 0.61/0.81 do 0 intro. intros zenon_H18b zenon_H6f zenon_H6e zenon_H6d zenon_Ha zenon_H41 zenon_H189. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H81 | zenon_intro zenon_H18c ]. % 0.61/0.81 apply (zenon_L33_); trivial. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H42 | zenon_intro zenon_H18a ]. % 0.61/0.81 exact (zenon_H41 zenon_H42). % 0.61/0.81 exact (zenon_H189 zenon_H18a). % 0.61/0.81 (* end of lemma zenon_L137_ *) % 0.61/0.81 assert (zenon_L138_ : (forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71)))))) -> (ndr1_0) -> (~(c1_1 (a179))) -> (~(c3_1 (a179))) -> (c2_1 (a179)) -> False). % 0.61/0.81 do 0 intro. intros zenon_H161 zenon_Ha zenon_H18d zenon_H18e zenon_H18f. % 0.61/0.81 generalize (zenon_H161 (a179)). zenon_intro zenon_H190. % 0.61/0.81 apply (zenon_imply_s _ _ zenon_H190); [ zenon_intro zenon_H9 | zenon_intro zenon_H191 ]. % 0.61/0.81 exact (zenon_H9 zenon_Ha). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H191); [ zenon_intro zenon_H193 | zenon_intro zenon_H192 ]. % 0.61/0.81 exact (zenon_H18d zenon_H193). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H195 | zenon_intro zenon_H194 ]. % 0.61/0.81 exact (zenon_H18e zenon_H195). % 0.61/0.81 exact (zenon_H194 zenon_H18f). % 0.61/0.81 (* end of lemma zenon_L138_ *) % 0.61/0.81 assert (zenon_L139_ : (~(hskp30)) -> (hskp30) -> False). % 0.61/0.81 do 0 intro. intros zenon_H196 zenon_H197. % 0.61/0.81 exact (zenon_H196 zenon_H197). % 0.61/0.81 (* end of lemma zenon_L139_ *) % 0.61/0.81 assert (zenon_L140_ : (~(hskp20)) -> (hskp20) -> False). % 0.61/0.81 do 0 intro. intros zenon_H198 zenon_H199. % 0.61/0.81 exact (zenon_H198 zenon_H199). % 0.61/0.81 (* end of lemma zenon_L140_ *) % 0.61/0.81 assert (zenon_L141_ : ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/((hskp30)\/(hskp20))) -> (c2_1 (a179)) -> (~(c3_1 (a179))) -> (~(c1_1 (a179))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp20)) -> False). % 0.61/0.81 do 0 intro. intros zenon_H19a zenon_H18f zenon_H18e zenon_H18d zenon_Ha zenon_H196 zenon_H198. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H161 | zenon_intro zenon_H19b ]. % 0.61/0.81 apply (zenon_L138_); trivial. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H197 | zenon_intro zenon_H199 ]. % 0.61/0.81 exact (zenon_H196 zenon_H197). % 0.61/0.81 exact (zenon_H198 zenon_H199). % 0.61/0.81 (* end of lemma zenon_L141_ *) % 0.61/0.81 assert (zenon_L142_ : (forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))) -> (ndr1_0) -> (c0_1 (a167)) -> (c1_1 (a167)) -> (c3_1 (a167)) -> False). % 0.61/0.81 do 0 intro. intros zenon_H179 zenon_Ha zenon_H19c zenon_H19d zenon_H19e. % 0.61/0.81 generalize (zenon_H179 (a167)). zenon_intro zenon_H19f. % 0.61/0.81 apply (zenon_imply_s _ _ zenon_H19f); [ zenon_intro zenon_H9 | zenon_intro zenon_H1a0 ]. % 0.61/0.81 exact (zenon_H9 zenon_Ha). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1a1 ]. % 0.61/0.81 exact (zenon_H1a2 zenon_H19c). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1a1); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1a3 ]. % 0.61/0.81 exact (zenon_H1a4 zenon_H19d). % 0.61/0.81 exact (zenon_H1a3 zenon_H19e). % 0.61/0.81 (* end of lemma zenon_L142_ *) % 0.61/0.81 assert (zenon_L143_ : ((ndr1_0)/\((c0_1 (a167))/\((c1_1 (a167))/\(c3_1 (a167))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (~(hskp15)) -> (~(hskp3)) -> (~(c1_1 (a143))) -> (c2_1 (a143)) -> (c3_1 (a143)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((hskp3)\/(hskp15))) -> (c0_1 (a176)) -> (~(c2_1 (a176))) -> (~(c1_1 (a176))) -> False). % 0.61/0.81 do 0 intro. intros zenon_H1a5 zenon_H17c zenon_H15 zenon_H4d zenon_H6d zenon_H6e zenon_H6f zenon_H7b zenon_H172 zenon_H171 zenon_H170. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_Ha. zenon_intro zenon_H1a6. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H19c. zenon_intro zenon_H1a7. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19d. zenon_intro zenon_H19e. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H19 | zenon_intro zenon_H17d ]. % 0.61/0.81 apply (zenon_L30_); trivial. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H16f | zenon_intro zenon_H179 ]. % 0.61/0.81 apply (zenon_L130_); trivial. % 0.61/0.81 apply (zenon_L142_); trivial. % 0.61/0.81 (* end of lemma zenon_L143_ *) % 0.61/0.81 assert (zenon_L144_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a179))/\((~(c1_1 (a179)))/\(~(c3_1 (a179))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a167))/\((c1_1 (a167))/\(c3_1 (a167)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (~(hskp3)) -> (~(hskp15)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((hskp3)\/(hskp15))) -> (~(hskp20)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/((hskp30)\/(hskp20))) -> (~(hskp8)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp8)\/(hskp23))) -> (ndr1_0) -> (~(c1_1 (a143))) -> (c2_1 (a143)) -> (c3_1 (a143)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp22)\/(hskp7))) -> False). % 0.61/0.81 do 0 intro. intros zenon_H184 zenon_H1a8 zenon_H1a9 zenon_H17c zenon_H4d zenon_H15 zenon_H7b zenon_H198 zenon_H19a zenon_H41 zenon_H18b zenon_Ha zenon_H6d zenon_H6e zenon_H6f zenon_Ha3 zenon_H187. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H164 | zenon_intro zenon_H17e ]. % 0.61/0.81 apply (zenon_L135_); trivial. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_Ha. zenon_intro zenon_H180. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H172. zenon_intro zenon_H181. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H189 | zenon_intro zenon_H1aa ]. % 0.61/0.81 apply (zenon_L137_); trivial. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha. zenon_intro zenon_H1ab. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H18f. zenon_intro zenon_H1ac. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H196 | zenon_intro zenon_H1a5 ]. % 0.61/0.81 apply (zenon_L141_); trivial. % 0.61/0.81 apply (zenon_L143_); trivial. % 0.61/0.81 (* end of lemma zenon_L144_ *) % 0.61/0.81 assert (zenon_L145_ : (forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7)))))) -> (ndr1_0) -> (forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))) -> (~(c3_1 (a168))) -> (c1_1 (a168)) -> False). % 0.61/0.81 do 0 intro. intros zenon_Hf2 zenon_Ha zenon_H15b zenon_H1ad zenon_H1ae. % 0.61/0.81 generalize (zenon_Hf2 (a168)). zenon_intro zenon_H1af. % 0.61/0.81 apply (zenon_imply_s _ _ zenon_H1af); [ zenon_intro zenon_H9 | zenon_intro zenon_H1b0 ]. % 0.61/0.81 exact (zenon_H9 zenon_Ha). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H1b2 | zenon_intro zenon_H1b1 ]. % 0.61/0.81 generalize (zenon_H15b (a168)). zenon_intro zenon_H1b3. % 0.61/0.81 apply (zenon_imply_s _ _ zenon_H1b3); [ zenon_intro zenon_H9 | zenon_intro zenon_H1b4 ]. % 0.61/0.81 exact (zenon_H9 zenon_Ha). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1b4); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H1b5 ]. % 0.61/0.81 exact (zenon_H1ad zenon_H1b6). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H1b8 | zenon_intro zenon_H1b7 ]. % 0.61/0.81 exact (zenon_H1b8 zenon_H1ae). % 0.61/0.81 exact (zenon_H1b7 zenon_H1b2). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H1b8 ]. % 0.61/0.81 exact (zenon_H1ad zenon_H1b6). % 0.61/0.81 exact (zenon_H1b8 zenon_H1ae). % 0.61/0.81 (* end of lemma zenon_L145_ *) % 0.61/0.81 assert (zenon_L146_ : ((forall X51 : zenon_U, ((ndr1_0)->((c0_1 X51)\/((~(c1_1 X51))\/(~(c2_1 X51))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/(forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))))) -> (c2_1 (a125)) -> (c1_1 (a125)) -> (~(c0_1 (a125))) -> (c2_1 (a179)) -> (~(c3_1 (a179))) -> (~(c1_1 (a179))) -> (forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7)))))) -> (ndr1_0) -> (~(c3_1 (a168))) -> (c1_1 (a168)) -> False). % 0.61/0.81 do 0 intro. intros zenon_H16b zenon_H154 zenon_H153 zenon_H152 zenon_H18f zenon_H18e zenon_H18d zenon_Hf2 zenon_Ha zenon_H1ad zenon_H1ae. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H151 | zenon_intro zenon_H16c ]. % 0.61/0.81 apply (zenon_L122_); trivial. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H161 | zenon_intro zenon_H15b ]. % 0.61/0.81 apply (zenon_L138_); trivial. % 0.61/0.81 apply (zenon_L145_); trivial. % 0.61/0.81 (* end of lemma zenon_L146_ *) % 0.61/0.81 assert (zenon_L147_ : ((ndr1_0)/\((c2_1 (a179))/\((~(c1_1 (a179)))/\(~(c3_1 (a179)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp0))) -> (~(c2_1 (a131))) -> (~(c1_1 (a131))) -> (~(c0_1 (a131))) -> (c1_1 (a168)) -> (~(c3_1 (a168))) -> (~(c0_1 (a125))) -> (c1_1 (a125)) -> (c2_1 (a125)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c0_1 X51)\/((~(c1_1 X51))\/(~(c2_1 X51))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/(forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))))) -> (~(hskp0)) -> False). % 0.61/0.81 do 0 intro. intros zenon_H1aa zenon_H14f zenon_He3 zenon_He2 zenon_He1 zenon_H1ae zenon_H1ad zenon_H152 zenon_H153 zenon_H154 zenon_H16b zenon_H23. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha. zenon_intro zenon_H1ab. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H18f. zenon_intro zenon_H1ac. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_He0 | zenon_intro zenon_H150 ]. % 0.61/0.81 apply (zenon_L70_); trivial. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H24 ]. % 0.61/0.81 apply (zenon_L146_); trivial. % 0.61/0.81 exact (zenon_H23 zenon_H24). % 0.61/0.81 (* end of lemma zenon_L147_ *) % 0.61/0.81 assert (zenon_L148_ : ((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c3_1 (a168)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a179))/\((~(c1_1 (a179)))/\(~(c3_1 (a179))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a125))) -> (c1_1 (a125)) -> (c2_1 (a125)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c0_1 X51)\/((~(c1_1 X51))\/(~(c2_1 X51))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/(forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))))) -> (~(c2_1 (a131))) -> (~(c1_1 (a131))) -> (~(c0_1 (a131))) -> (~(c1_1 (a143))) -> (c2_1 (a143)) -> (c3_1 (a143)) -> (~(hskp8)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp8)\/(hskp23))) -> False). % 0.61/0.81 do 0 intro. intros zenon_H1b9 zenon_H1a8 zenon_H14f zenon_H23 zenon_H152 zenon_H153 zenon_H154 zenon_H16b zenon_He3 zenon_He2 zenon_He1 zenon_H6d zenon_H6e zenon_H6f zenon_H41 zenon_H18b. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha. zenon_intro zenon_H1ba. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1ae. zenon_intro zenon_H1bb. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1bc. zenon_intro zenon_H1ad. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H189 | zenon_intro zenon_H1aa ]. % 0.61/0.81 apply (zenon_L137_); trivial. % 0.61/0.81 apply (zenon_L147_); trivial. % 0.61/0.81 (* end of lemma zenon_L148_ *) % 0.61/0.81 assert (zenon_L149_ : ((ndr1_0)/\((c0_1 (a167))/\((c1_1 (a167))/\(c3_1 (a167))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (c3_1 (a153)) -> (c2_1 (a153)) -> (~(c0_1 (a153))) -> (c0_1 (a176)) -> (~(c2_1 (a176))) -> (~(c1_1 (a176))) -> False). % 0.61/0.81 do 0 intro. intros zenon_H1a5 zenon_H17c zenon_H1c zenon_H1b zenon_H1a zenon_H172 zenon_H171 zenon_H170. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_Ha. zenon_intro zenon_H1a6. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H19c. zenon_intro zenon_H1a7. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19d. zenon_intro zenon_H19e. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H19 | zenon_intro zenon_H17d ]. % 0.61/0.81 apply (zenon_L9_); trivial. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H16f | zenon_intro zenon_H179 ]. % 0.61/0.81 apply (zenon_L130_); trivial. % 0.61/0.81 apply (zenon_L142_); trivial. % 0.61/0.81 (* end of lemma zenon_L149_ *) % 0.61/0.81 assert (zenon_L150_ : ((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a179))/\((~(c1_1 (a179)))/\(~(c3_1 (a179))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a167))/\((c1_1 (a167))/\(c3_1 (a167)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (c3_1 (a153)) -> (c2_1 (a153)) -> (~(c0_1 (a153))) -> (~(hskp20)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/((hskp30)\/(hskp20))) -> (~(c1_1 (a143))) -> (c2_1 (a143)) -> (c3_1 (a143)) -> (~(hskp8)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp8)\/(hskp23))) -> False). % 0.61/0.81 do 0 intro. intros zenon_H17e zenon_H1a8 zenon_H1a9 zenon_H17c zenon_H1c zenon_H1b zenon_H1a zenon_H198 zenon_H19a zenon_H6d zenon_H6e zenon_H6f zenon_H41 zenon_H18b. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_Ha. zenon_intro zenon_H180. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H172. zenon_intro zenon_H181. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H189 | zenon_intro zenon_H1aa ]. % 0.61/0.81 apply (zenon_L137_); trivial. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha. zenon_intro zenon_H1ab. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H18f. zenon_intro zenon_H1ac. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H196 | zenon_intro zenon_H1a5 ]. % 0.61/0.81 apply (zenon_L141_); trivial. % 0.61/0.81 apply (zenon_L149_); trivial. % 0.61/0.81 (* end of lemma zenon_L150_ *) % 0.61/0.81 assert (zenon_L151_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a179))/\((~(c1_1 (a179)))/\(~(c3_1 (a179))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a167))/\((c1_1 (a167))/\(c3_1 (a167)))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (c3_1 (a153)) -> (c2_1 (a153)) -> (~(c0_1 (a153))) -> (~(hskp20)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/((hskp30)\/(hskp20))) -> (~(hskp8)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp8)\/(hskp23))) -> (ndr1_0) -> (~(c1_1 (a143))) -> (c2_1 (a143)) -> (c3_1 (a143)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp22)\/(hskp7))) -> False). % 0.61/0.81 do 0 intro. intros zenon_H184 zenon_H1a8 zenon_H1a9 zenon_H17c zenon_H1c zenon_H1b zenon_H1a zenon_H198 zenon_H19a zenon_H41 zenon_H18b zenon_Ha zenon_H6d zenon_H6e zenon_H6f zenon_Ha3 zenon_H187. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H164 | zenon_intro zenon_H17e ]. % 0.61/0.81 apply (zenon_L135_); trivial. % 0.61/0.81 apply (zenon_L150_); trivial. % 0.61/0.81 (* end of lemma zenon_L151_ *) % 0.61/0.81 assert (zenon_L152_ : ((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c3_1 (a168))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a125))) -> (c1_1 (a125)) -> (c2_1 (a125)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c0_1 X51)\/((~(c1_1 X51))\/(~(c2_1 X51))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/(forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))))) -> (~(c2_1 (a131))) -> (~(c1_1 (a131))) -> (~(c0_1 (a131))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp22)\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a143)) -> (c2_1 (a143)) -> (~(c1_1 (a143))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/((hskp30)\/(hskp20))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a167))/\((c1_1 (a167))/\(c3_1 (a167)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a179))/\((~(c1_1 (a179)))/\(~(c3_1 (a179))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> False). % 0.61/0.81 do 0 intro. intros zenon_H86 zenon_H1bd zenon_H14f zenon_H23 zenon_H152 zenon_H153 zenon_H154 zenon_H16b zenon_He3 zenon_He2 zenon_He1 zenon_H187 zenon_Ha3 zenon_H6f zenon_H6e zenon_H6d zenon_H18b zenon_H41 zenon_H19a zenon_H17c zenon_H1a9 zenon_H1a8 zenon_H184. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_Ha. zenon_intro zenon_H87. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H1b. zenon_intro zenon_H88. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H1c. zenon_intro zenon_H1a. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b9 ]. % 0.61/0.81 apply (zenon_L151_); trivial. % 0.61/0.81 apply (zenon_L148_); trivial. % 0.61/0.81 (* end of lemma zenon_L152_ *) % 0.61/0.81 assert (zenon_L153_ : (forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (ndr1_0) -> (~(c1_1 (a142))) -> (c2_1 (a142)) -> (c3_1 (a142)) -> False). % 0.61/0.81 do 0 intro. intros zenon_H81 zenon_Ha zenon_H8a zenon_H1be zenon_H8c. % 0.61/0.81 generalize (zenon_H81 (a142)). zenon_intro zenon_H1bf. % 0.61/0.81 apply (zenon_imply_s _ _ zenon_H1bf); [ zenon_intro zenon_H9 | zenon_intro zenon_H1c0 ]. % 0.61/0.81 exact (zenon_H9 zenon_Ha). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1c0); [ zenon_intro zenon_H90 | zenon_intro zenon_H1c1 ]. % 0.61/0.81 exact (zenon_H8a zenon_H90). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H91 ]. % 0.61/0.81 exact (zenon_H1c2 zenon_H1be). % 0.61/0.81 exact (zenon_H91 zenon_H8c). % 0.61/0.81 (* end of lemma zenon_L153_ *) % 0.61/0.81 assert (zenon_L154_ : (forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40)))))) -> (ndr1_0) -> (forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (~(c1_1 (a142))) -> (c3_1 (a142)) -> (c0_1 (a142)) -> False). % 0.61/0.81 do 0 intro. intros zenon_H29 zenon_Ha zenon_H81 zenon_H8a zenon_H8c zenon_H8b. % 0.61/0.81 generalize (zenon_H29 (a142)). zenon_intro zenon_H1c3. % 0.61/0.81 apply (zenon_imply_s _ _ zenon_H1c3); [ zenon_intro zenon_H9 | zenon_intro zenon_H1c4 ]. % 0.61/0.81 exact (zenon_H9 zenon_Ha). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H1be | zenon_intro zenon_H8f ]. % 0.61/0.81 apply (zenon_L153_); trivial. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H92 | zenon_intro zenon_H91 ]. % 0.61/0.81 exact (zenon_H92 zenon_H8b). % 0.61/0.81 exact (zenon_H91 zenon_H8c). % 0.61/0.81 (* end of lemma zenon_L154_ *) % 0.61/0.81 assert (zenon_L155_ : ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp1)\/(hskp3))) -> (c0_1 (a142)) -> (c3_1 (a142)) -> (~(c1_1 (a142))) -> (forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp3)) -> False). % 0.61/0.81 do 0 intro. intros zenon_Hdc zenon_H8b zenon_H8c zenon_H8a zenon_H81 zenon_Ha zenon_Hda zenon_H4d. % 0.61/0.81 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H29 | zenon_intro zenon_Hdd ]. % 0.61/0.81 apply (zenon_L154_); trivial. % 0.61/0.81 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hdb | zenon_intro zenon_H4e ]. % 0.61/0.81 exact (zenon_Hda zenon_Hdb). % 0.61/0.81 exact (zenon_H4d zenon_H4e). % 0.61/0.81 (* end of lemma zenon_L155_ *) % 0.61/0.81 assert (zenon_L156_ : ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp22)\/(hskp7))) -> (~(hskp3)) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a142))) -> (c3_1 (a142)) -> (c0_1 (a142)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp1)\/(hskp3))) -> (~(hskp22)) -> (~(hskp7)) -> False). % 0.61/0.81 do 0 intro. intros zenon_H187 zenon_H4d zenon_Hda zenon_Ha zenon_H8a zenon_H8c zenon_H8b zenon_Hdc zenon_H164 zenon_Ha3. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H81 | zenon_intro zenon_H188 ]. % 0.61/0.81 apply (zenon_L155_); trivial. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H188); [ zenon_intro zenon_H165 | zenon_intro zenon_Ha4 ]. % 0.61/0.81 exact (zenon_H164 zenon_H165). % 0.61/0.81 exact (zenon_Ha3 zenon_Ha4). % 0.61/0.81 (* end of lemma zenon_L156_ *) % 0.61/0.81 assert (zenon_L157_ : ((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/((hskp19)\/(hskp17))) -> (~(hskp19)) -> (~(hskp17)) -> False). % 0.61/0.81 do 0 intro. intros zenon_H17e zenon_H1c5 zenon_H3 zenon_H122. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_Ha. zenon_intro zenon_H180. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H172. zenon_intro zenon_H181. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1c5); [ zenon_intro zenon_H16f | zenon_intro zenon_H1c6 ]. % 0.61/0.81 apply (zenon_L130_); trivial. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H4 | zenon_intro zenon_H123 ]. % 0.61/0.81 exact (zenon_H3 zenon_H4). % 0.61/0.81 exact (zenon_H122 zenon_H123). % 0.61/0.81 (* end of lemma zenon_L157_ *) % 0.61/0.81 assert (zenon_L158_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/((hskp19)\/(hskp17))) -> (~(hskp17)) -> (~(hskp19)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp1)\/(hskp3))) -> (~(hskp3)) -> (~(hskp1)) -> (c0_1 (a142)) -> (c3_1 (a142)) -> (~(c1_1 (a142))) -> (ndr1_0) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp22)\/(hskp7))) -> False). % 0.61/0.81 do 0 intro. intros zenon_H184 zenon_H1c5 zenon_H122 zenon_H3 zenon_Hdc zenon_H4d zenon_Hda zenon_H8b zenon_H8c zenon_H8a zenon_Ha zenon_Ha3 zenon_H187. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H164 | zenon_intro zenon_H17e ]. % 0.61/0.81 apply (zenon_L156_); trivial. % 0.61/0.81 apply (zenon_L157_); trivial. % 0.61/0.81 (* end of lemma zenon_L158_ *) % 0.61/0.81 assert (zenon_L159_ : ((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(hskp13))) -> (c1_1 (a155)) -> (~(c2_1 (a155))) -> (~(c0_1 (a155))) -> (~(hskp13)) -> False). % 0.61/0.81 do 0 intro. intros zenon_H17e zenon_H17f zenon_H12f zenon_H12e zenon_H12d zenon_H5. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_Ha. zenon_intro zenon_H180. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H172. zenon_intro zenon_H181. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H182 ]. % 0.61/0.81 apply (zenon_L93_); trivial. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H16f | zenon_intro zenon_H6 ]. % 0.61/0.81 apply (zenon_L130_); trivial. % 0.61/0.81 exact (zenon_H5 zenon_H6). % 0.61/0.81 (* end of lemma zenon_L159_ *) % 0.61/0.81 assert (zenon_L160_ : ((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(hskp13))) -> (~(hskp13)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp1)\/(hskp3))) -> (~(hskp3)) -> (~(hskp1)) -> (c0_1 (a142)) -> (c3_1 (a142)) -> (~(c1_1 (a142))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp22)\/(hskp7))) -> False). % 0.61/0.81 do 0 intro. intros zenon_H136 zenon_H184 zenon_H17f zenon_H5 zenon_Hdc zenon_H4d zenon_Hda zenon_H8b zenon_H8c zenon_H8a zenon_Ha3 zenon_H187. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Ha. zenon_intro zenon_H137. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H12f. zenon_intro zenon_H138. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H164 | zenon_intro zenon_H17e ]. % 0.61/0.81 apply (zenon_L156_); trivial. % 0.61/0.81 apply (zenon_L159_); trivial. % 0.61/0.81 (* end of lemma zenon_L160_ *) % 0.61/0.81 assert (zenon_L161_ : ((ndr1_0)/\((~(c0_1 (a182)))/\((~(c2_1 (a182)))/\(~(c3_1 (a182)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(hskp8)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(c3_1 X33)))))\/((forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp8))) -> (c3_1 (a160)) -> (~(c2_1 (a160))) -> (~(c1_1 (a160))) -> (~(c1_1 (a143))) -> (c2_1 (a143)) -> (c3_1 (a143)) -> False). % 0.61/0.81 do 0 intro. intros zenon_H10c zenon_H84 zenon_H41 zenon_H141 zenon_H2d zenon_H2a zenon_H2c zenon_H6d zenon_H6e zenon_H6f. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Ha. zenon_intro zenon_H10e. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H2b | zenon_intro zenon_H85 ]. % 0.61/0.81 apply (zenon_L104_); trivial. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H7d | zenon_intro zenon_H81 ]. % 0.61/0.81 apply (zenon_L32_); trivial. % 0.61/0.81 apply (zenon_L33_); trivial. % 0.61/0.81 (* end of lemma zenon_L161_ *) % 0.61/0.81 assert (zenon_L162_ : ((ndr1_0)/\((c3_1 (a160))/\((~(c1_1 (a160)))/\(~(c2_1 (a160)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c0_1 (a182)))/\((~(c2_1 (a182)))/\(~(c3_1 (a182))))))) -> (~(hskp8)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(c3_1 X33)))))\/((forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp8))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a143)) -> (c2_1 (a143)) -> (~(c1_1 (a143))) -> (c3_1 (a132)) -> (~(c2_1 (a132))) -> (~(c0_1 (a132))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp17)\/(hskp24))) -> False). % 0.61/0.81 do 0 intro. intros zenon_H69 zenon_H111 zenon_H41 zenon_H141 zenon_H84 zenon_H6f zenon_H6e zenon_H6d zenon_H118 zenon_H116 zenon_H127 zenon_H122 zenon_H13c. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_Ha. zenon_intro zenon_H6a. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H2d. zenon_intro zenon_H6b. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H2c. zenon_intro zenon_H2a. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfe | zenon_intro zenon_H10c ]. % 0.61/0.81 apply (zenon_L97_); trivial. % 0.61/0.81 apply (zenon_L161_); trivial. % 0.61/0.81 (* end of lemma zenon_L162_ *) % 0.61/0.81 assert (zenon_L163_ : ((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))))) -> (~(c2_1 (a131))) -> (~(c1_1 (a131))) -> (~(c0_1 (a131))) -> (~(c0_1 (a132))) -> (~(c2_1 (a132))) -> (c3_1 (a132)) -> False). % 0.61/0.81 do 0 intro. intros zenon_H136 zenon_H1c7 zenon_He3 zenon_He2 zenon_He1 zenon_H127 zenon_H116 zenon_H118. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Ha. zenon_intro zenon_H137. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H12f. zenon_intro zenon_H138. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_He0 | zenon_intro zenon_H1c8 ]. % 0.61/0.81 apply (zenon_L70_); trivial. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H126 ]. % 0.61/0.81 apply (zenon_L93_); trivial. % 0.61/0.81 apply (zenon_L91_); trivial. % 0.61/0.81 (* end of lemma zenon_L163_ *) % 0.61/0.81 assert (zenon_L164_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))))) -> (~(c2_1 (a131))) -> (~(c1_1 (a131))) -> (~(c0_1 (a131))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((hskp28)\/(hskp8))) -> (~(hskp8)) -> (ndr1_0) -> (~(c0_1 (a132))) -> (~(c2_1 (a132))) -> (c3_1 (a132)) -> (~(hskp13)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp17)\/(hskp13))) -> (~(hskp3)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp3)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> False). % 0.61/0.81 do 0 intro. intros zenon_H143 zenon_H1c7 zenon_He3 zenon_He2 zenon_He1 zenon_H5d zenon_H41 zenon_Ha zenon_H127 zenon_H116 zenon_H118 zenon_H5 zenon_H124 zenon_H4d zenon_H50 zenon_H64. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H122 | zenon_intro zenon_H136 ]. % 0.61/0.81 apply (zenon_L120_); trivial. % 0.61/0.81 apply (zenon_L163_); trivial. % 0.61/0.81 (* end of lemma zenon_L164_ *) % 0.61/0.81 assert (zenon_L165_ : ((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))))) -> (~(c2_1 (a131))) -> (~(c1_1 (a131))) -> (~(c0_1 (a131))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp0)\/(hskp18))) -> (~(hskp0)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp17)\/(hskp24))) -> (~(c0_1 (a132))) -> (~(c2_1 (a132))) -> (c3_1 (a132)) -> (~(c1_1 (a143))) -> (c2_1 (a143)) -> (c3_1 (a143)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(c3_1 X33)))))\/((forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp24))\/((ndr1_0)/\((~(c0_1 (a182)))/\((~(c2_1 (a182)))/\(~(c3_1 (a182))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a160))/\((~(c1_1 (a160)))/\(~(c2_1 (a160))))))) -> False). % 0.61/0.81 do 0 intro. intros zenon_H86 zenon_H143 zenon_H1c7 zenon_He3 zenon_He2 zenon_He1 zenon_H27 zenon_H23 zenon_H13c zenon_H127 zenon_H116 zenon_H118 zenon_H6d zenon_H6e zenon_H6f zenon_H84 zenon_H141 zenon_H41 zenon_H111 zenon_H68. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_Ha. zenon_intro zenon_H87. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H1b. zenon_intro zenon_H88. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H1c. zenon_intro zenon_H1a. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H122 | zenon_intro zenon_H136 ]. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H25 | zenon_intro zenon_H69 ]. % 0.61/0.81 apply (zenon_L12_); trivial. % 0.61/0.81 apply (zenon_L162_); trivial. % 0.61/0.81 apply (zenon_L163_); trivial. % 0.61/0.81 (* end of lemma zenon_L165_ *) % 0.61/0.81 assert (zenon_L166_ : ((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))))) -> (~(c2_1 (a131))) -> (~(c1_1 (a131))) -> (~(c0_1 (a131))) -> (~(hskp3)) -> (~(hskp1)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp1)\/(hskp3))) -> (~(c0_1 (a132))) -> (~(c2_1 (a132))) -> (c3_1 (a132)) -> False). % 0.61/0.81 do 0 intro. intros zenon_H96 zenon_H1c7 zenon_He3 zenon_He2 zenon_He1 zenon_H4d zenon_Hda zenon_Hdc zenon_H127 zenon_H116 zenon_H118. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_Ha. zenon_intro zenon_H97. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_Hd. zenon_intro zenon_H98. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_He0 | zenon_intro zenon_H1c8 ]. % 0.61/0.81 apply (zenon_L70_); trivial. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H126 ]. % 0.61/0.81 apply (zenon_L65_); trivial. % 0.61/0.81 apply (zenon_L91_); trivial. % 0.61/0.81 (* end of lemma zenon_L166_ *) % 0.61/0.81 assert (zenon_L167_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))))) -> (c3_1 (a132)) -> (~(c2_1 (a132))) -> (~(c0_1 (a132))) -> (~(hskp1)) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp1)\/(hskp3))) -> (~(c2_1 (a131))) -> (~(c1_1 (a131))) -> (~(c0_1 (a131))) -> (~(hskp12)) -> (~(hskp13)) -> ((hskp12)\/((hskp19)\/(hskp13))) -> False). % 0.61/0.81 do 0 intro. intros zenon_H95 zenon_H1c7 zenon_H118 zenon_H116 zenon_H127 zenon_Hda zenon_H4d zenon_Hdc zenon_He3 zenon_He2 zenon_He1 zenon_H1 zenon_H5 zenon_H7. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H96 ]. % 0.61/0.81 apply (zenon_L4_); trivial. % 0.61/0.81 apply (zenon_L166_); trivial. % 0.61/0.81 (* end of lemma zenon_L167_ *) % 0.61/0.81 assert (zenon_L168_ : (~(hskp27)) -> (hskp27) -> False). % 0.61/0.81 do 0 intro. intros zenon_H1c9 zenon_H1ca. % 0.61/0.81 exact (zenon_H1c9 zenon_H1ca). % 0.61/0.81 (* end of lemma zenon_L168_ *) % 0.61/0.81 assert (zenon_L169_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp27))) -> (~(c2_1 (a131))) -> (~(c1_1 (a131))) -> (~(c0_1 (a131))) -> (c2_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (ndr1_0) -> (~(hskp27)) -> False). % 0.61/0.81 do 0 intro. intros zenon_H1cb zenon_He3 zenon_He2 zenon_He1 zenon_Hb5 zenon_Hb4 zenon_Hb3 zenon_Ha zenon_H1c9. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_He0 | zenon_intro zenon_H1cc ]. % 0.61/0.81 apply (zenon_L70_); trivial. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H1ca ]. % 0.61/0.81 apply (zenon_L55_); trivial. % 0.61/0.81 exact (zenon_H1c9 zenon_H1ca). % 0.61/0.81 (* end of lemma zenon_L169_ *) % 0.61/0.81 assert (zenon_L170_ : ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/((hskp30)\/(hskp20))) -> (ndr1_0) -> (~(c3_1 (a134))) -> (c2_1 (a134)) -> (~(hskp22)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp22)) -> (~(hskp30)) -> (~(hskp20)) -> False). % 0.61/0.81 do 0 intro. intros zenon_H19a zenon_Ha zenon_Hb4 zenon_Hb5 zenon_H164 zenon_H166 zenon_H196 zenon_H198. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H161 | zenon_intro zenon_H19b ]. % 0.61/0.81 apply (zenon_L126_); trivial. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H197 | zenon_intro zenon_H199 ]. % 0.61/0.81 exact (zenon_H196 zenon_H197). % 0.61/0.81 exact (zenon_H198 zenon_H199). % 0.61/0.81 (* end of lemma zenon_L170_ *) % 0.61/0.81 assert (zenon_L171_ : (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16)))))) -> (ndr1_0) -> (~(c1_1 (a122))) -> (c0_1 (a122)) -> (c2_1 (a122)) -> False). % 0.61/0.81 do 0 intro. intros zenon_H1cd zenon_Ha zenon_H1ce zenon_H1cf zenon_H1d0. % 0.61/0.81 generalize (zenon_H1cd (a122)). zenon_intro zenon_H1d1. % 0.61/0.81 apply (zenon_imply_s _ _ zenon_H1d1); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d2 ]. % 0.61/0.81 exact (zenon_H9 zenon_Ha). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1d3 ]. % 0.61/0.81 exact (zenon_H1ce zenon_H1d4). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1d5 ]. % 0.61/0.81 exact (zenon_H1d6 zenon_H1cf). % 0.61/0.81 exact (zenon_H1d5 zenon_H1d0). % 0.61/0.81 (* end of lemma zenon_L171_ *) % 0.61/0.81 assert (zenon_L172_ : (forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((~(c1_1 X21))\/(~(c2_1 X21)))))) -> (ndr1_0) -> (c0_1 (a122)) -> (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16)))))) -> (c2_1 (a122)) -> False). % 0.61/0.81 do 0 intro. intros zenon_Hbc zenon_Ha zenon_H1cf zenon_H1cd zenon_H1d0. % 0.61/0.81 generalize (zenon_Hbc (a122)). zenon_intro zenon_H1d7. % 0.61/0.81 apply (zenon_imply_s _ _ zenon_H1d7); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d8 ]. % 0.61/0.81 exact (zenon_H9 zenon_Ha). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1d9 ]. % 0.61/0.81 exact (zenon_H1d6 zenon_H1cf). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1d5 ]. % 0.61/0.81 apply (zenon_L171_); trivial. % 0.61/0.81 exact (zenon_H1d5 zenon_H1d0). % 0.61/0.81 (* end of lemma zenon_L172_ *) % 0.61/0.81 assert (zenon_L173_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((~(c1_1 X21))\/(~(c2_1 X21)))))))) -> (c2_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (c3_1 (a160)) -> (~(c2_1 (a160))) -> (~(c1_1 (a160))) -> (ndr1_0) -> (c0_1 (a122)) -> (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16)))))) -> (c2_1 (a122)) -> False). % 0.61/0.81 do 0 intro. intros zenon_Hc7 zenon_Hb5 zenon_Hb4 zenon_Hb3 zenon_H2d zenon_H2a zenon_H2c zenon_Ha zenon_H1cf zenon_H1cd zenon_H1d0. % 0.61/0.81 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hb2 | zenon_intro zenon_Hca ]. % 0.61/0.81 apply (zenon_L55_); trivial. % 0.61/0.81 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H7d | zenon_intro zenon_Hbc ]. % 0.61/0.81 apply (zenon_L32_); trivial. % 0.61/0.81 apply (zenon_L172_); trivial. % 0.61/0.81 (* end of lemma zenon_L173_ *) % 0.61/0.81 assert (zenon_L174_ : ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp1)\/(hskp3))) -> (c0_1 (a167)) -> (c3_1 (a167)) -> (c1_1 (a167)) -> (forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp3)) -> False). % 0.61/0.81 do 0 intro. intros zenon_Hdc zenon_H19c zenon_H19e zenon_H19d zenon_H43 zenon_Ha zenon_Hda zenon_H4d. % 0.61/0.81 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_H29 | zenon_intro zenon_Hdd ]. % 0.61/0.81 generalize (zenon_H29 (a167)). zenon_intro zenon_H1da. % 0.61/0.81 apply (zenon_imply_s _ _ zenon_H1da); [ zenon_intro zenon_H9 | zenon_intro zenon_H1db ]. % 0.61/0.81 exact (zenon_H9 zenon_Ha). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1dd | zenon_intro zenon_H1dc ]. % 0.61/0.81 generalize (zenon_H43 (a167)). zenon_intro zenon_H1de. % 0.61/0.81 apply (zenon_imply_s _ _ zenon_H1de); [ zenon_intro zenon_H9 | zenon_intro zenon_H1df ]. % 0.61/0.81 exact (zenon_H9 zenon_Ha). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1e0 ]. % 0.61/0.81 exact (zenon_H1a4 zenon_H19d). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1a3 ]. % 0.61/0.81 exact (zenon_H1e1 zenon_H1dd). % 0.61/0.81 exact (zenon_H1a3 zenon_H19e). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1a3 ]. % 0.61/0.81 exact (zenon_H1a2 zenon_H19c). % 0.61/0.81 exact (zenon_H1a3 zenon_H19e). % 0.61/0.81 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_Hdb | zenon_intro zenon_H4e ]. % 0.61/0.81 exact (zenon_Hda zenon_Hdb). % 0.61/0.81 exact (zenon_H4d zenon_H4e). % 0.61/0.81 (* end of lemma zenon_L174_ *) % 0.61/0.81 assert (zenon_L175_ : ((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c0_1 X51)\/((~(c1_1 X51))\/(~(c2_1 X51))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44)))))))) -> (c3_1 (a132)) -> (~(c2_1 (a132))) -> (~(c0_1 (a132))) -> (c2_1 (a125)) -> (c1_1 (a125)) -> (~(c0_1 (a125))) -> False). % 0.61/0.81 do 0 intro. intros zenon_H17e zenon_H1e2 zenon_H118 zenon_H116 zenon_H127 zenon_H154 zenon_H153 zenon_H152. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_Ha. zenon_intro zenon_H180. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H172. zenon_intro zenon_H181. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H126 | zenon_intro zenon_H1e3 ]. % 0.61/0.81 apply (zenon_L91_); trivial. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H151 | zenon_intro zenon_H16f ]. % 0.61/0.81 apply (zenon_L122_); trivial. % 0.61/0.81 apply (zenon_L130_); trivial. % 0.61/0.81 (* end of lemma zenon_L175_ *) % 0.61/0.81 assert (zenon_L176_ : (forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59)))))) -> (ndr1_0) -> (~(c0_1 (a168))) -> (~(c3_1 (a168))) -> (c1_1 (a168)) -> False). % 0.61/0.81 do 0 intro. intros zenon_H1e4 zenon_Ha zenon_H1bc zenon_H1ad zenon_H1ae. % 0.61/0.81 generalize (zenon_H1e4 (a168)). zenon_intro zenon_H1e5. % 0.61/0.81 apply (zenon_imply_s _ _ zenon_H1e5); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e6 ]. % 0.61/0.81 exact (zenon_H9 zenon_Ha). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1b1 ]. % 0.61/0.81 exact (zenon_H1bc zenon_H1e7). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H1b8 ]. % 0.61/0.81 exact (zenon_H1ad zenon_H1b6). % 0.61/0.81 exact (zenon_H1b8 zenon_H1ae). % 0.61/0.81 (* end of lemma zenon_L176_ *) % 0.61/0.81 assert (zenon_L177_ : (forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))) -> (ndr1_0) -> (c0_1 (a122)) -> (c2_1 (a122)) -> (c3_1 (a122)) -> False). % 0.61/0.81 do 0 intro. intros zenon_H13e zenon_Ha zenon_H1cf zenon_H1d0 zenon_H1e8. % 0.61/0.81 generalize (zenon_H13e (a122)). zenon_intro zenon_H1e9. % 0.61/0.81 apply (zenon_imply_s _ _ zenon_H1e9); [ zenon_intro zenon_H9 | zenon_intro zenon_H1ea ]. % 0.61/0.81 exact (zenon_H9 zenon_Ha). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1eb ]. % 0.61/0.81 exact (zenon_H1d6 zenon_H1cf). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1ec ]. % 0.61/0.81 exact (zenon_H1d5 zenon_H1d0). % 0.61/0.81 exact (zenon_H1ec zenon_H1e8). % 0.61/0.81 (* end of lemma zenon_L177_ *) % 0.61/0.81 assert (zenon_L178_ : ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> (~(c0_1 (a168))) -> (c1_1 (a168)) -> (~(c3_1 (a168))) -> (forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7)))))) -> (ndr1_0) -> (c0_1 (a122)) -> (c2_1 (a122)) -> (c3_1 (a122)) -> False). % 0.61/0.81 do 0 intro. intros zenon_H1ed zenon_H1bc zenon_H1ae zenon_H1ad zenon_Hf2 zenon_Ha zenon_H1cf zenon_H1d0 zenon_H1e8. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1ee ]. % 0.61/0.81 apply (zenon_L176_); trivial. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H15b | zenon_intro zenon_H13e ]. % 0.61/0.81 apply (zenon_L145_); trivial. % 0.61/0.81 apply (zenon_L177_); trivial. % 0.61/0.81 (* end of lemma zenon_L178_ *) % 0.61/0.81 assert (zenon_L179_ : ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp29))) -> (c3_1 (a132)) -> (~(c2_1 (a132))) -> (~(c0_1 (a132))) -> (c3_1 (a122)) -> (c2_1 (a122)) -> (c0_1 (a122)) -> (ndr1_0) -> (~(c3_1 (a168))) -> (c1_1 (a168)) -> (~(c0_1 (a168))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> (~(hskp29)) -> False). % 0.61/0.81 do 0 intro. intros zenon_H1ef zenon_H118 zenon_H116 zenon_H127 zenon_H1e8 zenon_H1d0 zenon_H1cf zenon_Ha zenon_H1ad zenon_H1ae zenon_H1bc zenon_H1ed zenon_Hb0. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H126 | zenon_intro zenon_H1f0 ]. % 0.61/0.81 apply (zenon_L91_); trivial. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hb1 ]. % 0.61/0.81 apply (zenon_L178_); trivial. % 0.61/0.81 exact (zenon_Hb0 zenon_Hb1). % 0.61/0.81 (* end of lemma zenon_L179_ *) % 0.61/0.81 assert (zenon_L180_ : ((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a136))/\((c1_1 (a136))/\(c2_1 (a136)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((~(c1_1 X21))\/(~(c2_1 X21)))))))) -> (c3_1 (a160)) -> (~(c2_1 (a160))) -> (~(c1_1 (a160))) -> (c2_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (~(c0_1 (a132))) -> (~(c2_1 (a132))) -> (c3_1 (a132)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> (c1_1 (a168)) -> (~(c3_1 (a168))) -> (~(c0_1 (a168))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp29))) -> False). % 0.61/0.81 do 0 intro. intros zenon_H1f1 zenon_Hcb zenon_Hc7 zenon_H2d zenon_H2a zenon_H2c zenon_Hb5 zenon_Hb4 zenon_Hb3 zenon_H127 zenon_H116 zenon_H118 zenon_H1ed zenon_H1ae zenon_H1ad zenon_H1bc zenon_H1ef. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_Ha. zenon_intro zenon_H1f2. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H1cf. zenon_intro zenon_H1f3. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d0. zenon_intro zenon_H1e8. % 0.61/0.81 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc6 ]. % 0.61/0.81 apply (zenon_L179_); trivial. % 0.61/0.81 apply (zenon_L57_); trivial. % 0.61/0.81 (* end of lemma zenon_L180_ *) % 0.61/0.81 assert (zenon_L181_ : ((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c3_1 (a168)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a136))/\((c1_1 (a136))/\(c2_1 (a136)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((~(c1_1 X21))\/(~(c2_1 X21)))))))) -> (c3_1 (a160)) -> (~(c2_1 (a160))) -> (~(c1_1 (a160))) -> (~(c0_1 (a132))) -> (~(c2_1 (a132))) -> (c3_1 (a132)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp29))) -> (~(c0_1 (a131))) -> (~(c1_1 (a131))) -> (~(c2_1 (a131))) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c2_1 (a134)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp27))) -> False). % 0.61/0.81 do 0 intro. intros zenon_H1b9 zenon_H1f4 zenon_Hcb zenon_Hc7 zenon_H2d zenon_H2a zenon_H2c zenon_H127 zenon_H116 zenon_H118 zenon_H1ed zenon_H1ef zenon_He1 zenon_He2 zenon_He3 zenon_Hb3 zenon_Hb4 zenon_Hb5 zenon_H1cb. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha. zenon_intro zenon_H1ba. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1ae. zenon_intro zenon_H1bb. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1bc. zenon_intro zenon_H1ad. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H1f1 ]. % 0.61/0.81 apply (zenon_L169_); trivial. % 0.61/0.81 apply (zenon_L180_); trivial. % 0.61/0.81 (* end of lemma zenon_L181_ *) % 0.61/0.81 assert (zenon_L182_ : ((ndr1_0)/\((c3_1 (a160))/\((~(c1_1 (a160)))/\(~(c2_1 (a160)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c3_1 (a168))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a136))/\((c1_1 (a136))/\(c2_1 (a136)))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp29))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a167))/\((c1_1 (a167))/\(c3_1 (a167)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp1)) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp1)\/(hskp3))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((~(c1_1 X21))\/(~(c2_1 X21)))))))) -> (~(c0_1 (a125))) -> (c1_1 (a125)) -> (c2_1 (a125)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c0_1 X51)\/((~(c1_1 X51))\/(~(c2_1 X51))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/(forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp22)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/((hskp30)\/(hskp20))) -> (~(c0_1 (a131))) -> (~(c1_1 (a131))) -> (~(c2_1 (a131))) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c2_1 (a134)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp27))) -> (~(c0_1 (a132))) -> (~(c2_1 (a132))) -> (c3_1 (a132)) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c0_1 X51)\/((~(c1_1 X51))\/(~(c2_1 X51))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> False). % 0.61/0.81 do 0 intro. intros zenon_H69 zenon_H1bd zenon_Hcb zenon_H1ed zenon_H1ef zenon_H1f4 zenon_H1a9 zenon_H1f5 zenon_Hda zenon_H4d zenon_Hdc zenon_Hc7 zenon_H152 zenon_H153 zenon_H154 zenon_H16b zenon_H166 zenon_H19a zenon_He1 zenon_He2 zenon_He3 zenon_Hb3 zenon_Hb4 zenon_Hb5 zenon_H1cb zenon_H127 zenon_H116 zenon_H118 zenon_H1e2 zenon_H184. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_Ha. zenon_intro zenon_H6a. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H2d. zenon_intro zenon_H6b. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H2c. zenon_intro zenon_H2a. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b9 ]. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H164 | zenon_intro zenon_H17e ]. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H1f1 ]. % 0.61/0.81 apply (zenon_L169_); trivial. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_Ha. zenon_intro zenon_H1f2. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H1cf. zenon_intro zenon_H1f3. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d0. zenon_intro zenon_H1e8. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H196 | zenon_intro zenon_H1a5 ]. % 0.61/0.81 apply (zenon_L170_); trivial. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_Ha. zenon_intro zenon_H1a6. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H19c. zenon_intro zenon_H1a7. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19d. zenon_intro zenon_H19e. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H167 | zenon_intro zenon_H1f6 ]. % 0.61/0.81 apply (zenon_L128_); trivial. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H1cd | zenon_intro zenon_H43 ]. % 0.61/0.81 apply (zenon_L173_); trivial. % 0.61/0.81 apply (zenon_L174_); trivial. % 0.61/0.81 apply (zenon_L175_); trivial. % 0.61/0.81 apply (zenon_L181_); trivial. % 0.61/0.81 (* end of lemma zenon_L182_ *) % 0.61/0.81 assert (zenon_L183_ : ((ndr1_0)/\((c2_1 (a143))/\((c3_1 (a143))/\(~(c1_1 (a143)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp0)\/(hskp18))) -> (~(hskp0)) -> (~(hskp3)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((hskp3)\/(hskp15))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c0_1 X51)\/((~(c1_1 X51))\/(~(c2_1 X51))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44)))))))) -> (c3_1 (a132)) -> (~(c2_1 (a132))) -> (~(c0_1 (a132))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp27))) -> (c2_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (~(c2_1 (a131))) -> (~(c1_1 (a131))) -> (~(c0_1 (a131))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/((hskp30)\/(hskp20))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp22)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c0_1 X51)\/((~(c1_1 X51))\/(~(c2_1 X51))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/(forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))))) -> (c2_1 (a125)) -> (c1_1 (a125)) -> (~(c0_1 (a125))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((~(c1_1 X21))\/(~(c2_1 X21)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp1)\/(hskp3))) -> (~(hskp1)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a167))/\((c1_1 (a167))/\(c3_1 (a167)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp29))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a136))/\((c1_1 (a136))/\(c2_1 (a136)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c3_1 (a168))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a160))/\((~(c1_1 (a160)))/\(~(c2_1 (a160))))))) -> False). % 0.61/0.81 do 0 intro. intros zenon_Ha8 zenon_H89 zenon_H27 zenon_H23 zenon_H4d zenon_H7b zenon_H184 zenon_H1e2 zenon_H118 zenon_H116 zenon_H127 zenon_H1cb zenon_Hb5 zenon_Hb4 zenon_Hb3 zenon_He3 zenon_He2 zenon_He1 zenon_H19a zenon_H166 zenon_H16b zenon_H154 zenon_H153 zenon_H152 zenon_Hc7 zenon_Hdc zenon_Hda zenon_H1f5 zenon_H1a9 zenon_H1f4 zenon_H1ef zenon_H1ed zenon_Hcb zenon_H1bd zenon_H68. % 0.61/0.81 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.61/0.81 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H6e. zenon_intro zenon_Haa. % 0.61/0.81 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H15 | zenon_intro zenon_H86 ]. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H25 | zenon_intro zenon_H69 ]. % 0.61/0.81 apply (zenon_L31_); trivial. % 0.61/0.81 apply (zenon_L182_); trivial. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_Ha. zenon_intro zenon_H87. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H1b. zenon_intro zenon_H88. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H1c. zenon_intro zenon_H1a. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H25 | zenon_intro zenon_H69 ]. % 0.61/0.81 apply (zenon_L12_); trivial. % 0.61/0.81 apply (zenon_L182_); trivial. % 0.61/0.81 (* end of lemma zenon_L183_ *) % 0.61/0.81 assert (zenon_L184_ : (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22)))))) -> (ndr1_0) -> (~(c0_1 (a153))) -> (forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (c2_1 (a153)) -> (c3_1 (a153)) -> False). % 0.61/0.81 do 0 intro. intros zenon_H2b zenon_Ha zenon_H1a zenon_H43 zenon_H1b zenon_H1c. % 0.61/0.81 generalize (zenon_H2b (a153)). zenon_intro zenon_H1f7. % 0.61/0.81 apply (zenon_imply_s _ _ zenon_H1f7); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f8 ]. % 0.61/0.81 exact (zenon_H9 zenon_Ha). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H20 | zenon_intro zenon_H1f9 ]. % 0.61/0.81 exact (zenon_H1a zenon_H20). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1f9); [ zenon_intro zenon_H1fa | zenon_intro zenon_H21 ]. % 0.61/0.81 generalize (zenon_H43 (a153)). zenon_intro zenon_H1fb. % 0.61/0.81 apply (zenon_imply_s _ _ zenon_H1fb); [ zenon_intro zenon_H9 | zenon_intro zenon_H1fc ]. % 0.61/0.81 exact (zenon_H9 zenon_Ha). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1f ]. % 0.61/0.81 exact (zenon_H1fd zenon_H1fa). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1f); [ zenon_intro zenon_H22 | zenon_intro zenon_H21 ]. % 0.61/0.81 exact (zenon_H22 zenon_H1b). % 0.61/0.81 exact (zenon_H21 zenon_H1c). % 0.61/0.81 exact (zenon_H21 zenon_H1c). % 0.61/0.81 (* end of lemma zenon_L184_ *) % 0.61/0.81 assert (zenon_L185_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a153)) -> (c2_1 (a153)) -> (forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (~(c0_1 (a153))) -> (c3_1 (a160)) -> (~(c2_1 (a160))) -> (~(c1_1 (a160))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp1)\/(hskp3))) -> (c0_1 (a142)) -> (c3_1 (a142)) -> (~(c1_1 (a142))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp3)) -> False). % 0.61/0.81 do 0 intro. intros zenon_H84 zenon_H1c zenon_H1b zenon_H43 zenon_H1a zenon_H2d zenon_H2a zenon_H2c zenon_Hdc zenon_H8b zenon_H8c zenon_H8a zenon_Ha zenon_Hda zenon_H4d. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H2b | zenon_intro zenon_H85 ]. % 0.61/0.81 apply (zenon_L184_); trivial. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H7d | zenon_intro zenon_H81 ]. % 0.61/0.81 apply (zenon_L32_); trivial. % 0.61/0.81 apply (zenon_L155_); trivial. % 0.61/0.81 (* end of lemma zenon_L185_ *) % 0.61/0.81 assert (zenon_L186_ : ((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a160))/\((~(c1_1 (a160)))/\(~(c2_1 (a160))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c0_1 X51)\/((~(c1_1 X51))\/(~(c2_1 X51))))))\/(forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44)))))))) -> (c3_1 (a132)) -> (~(c2_1 (a132))) -> (~(c0_1 (a132))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp27))) -> (c2_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (~(c2_1 (a131))) -> (~(c1_1 (a131))) -> (~(c0_1 (a131))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c0_1 X51)\/((~(c1_1 X51))\/(~(c2_1 X51))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/(forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp22)) -> (c2_1 (a125)) -> (c1_1 (a125)) -> (~(c0_1 (a125))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((~(c1_1 X21))\/(~(c2_1 X21)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(hskp1)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp1)\/(hskp3))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122)))))) -> (~(hskp0)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp0)\/(hskp18))) -> (~(hskp3)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((hskp3)\/(hskp15))) -> False). % 0.61/0.81 do 0 intro. intros zenon_Hab zenon_H89 zenon_H68 zenon_H184 zenon_H1e2 zenon_H118 zenon_H116 zenon_H127 zenon_H1cb zenon_Hb5 zenon_Hb4 zenon_Hb3 zenon_He3 zenon_He2 zenon_He1 zenon_H16b zenon_H166 zenon_H154 zenon_H153 zenon_H152 zenon_Hc7 zenon_H84 zenon_Hda zenon_Hdc zenon_H1f5 zenon_H1f4 zenon_H23 zenon_H27 zenon_H4d zenon_H7b. % 0.61/0.81 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 0.61/0.81 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H8b. zenon_intro zenon_Had. % 0.61/0.81 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H15 | zenon_intro zenon_H86 ]. % 0.61/0.81 apply (zenon_L39_); trivial. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_Ha. zenon_intro zenon_H87. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H1b. zenon_intro zenon_H88. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H1c. zenon_intro zenon_H1a. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H25 | zenon_intro zenon_H69 ]. % 0.61/0.81 apply (zenon_L12_); trivial. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H69). zenon_intro zenon_Ha. zenon_intro zenon_H6a. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H2d. zenon_intro zenon_H6b. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H6b). zenon_intro zenon_H2c. zenon_intro zenon_H2a. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H164 | zenon_intro zenon_H17e ]. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H1f1 ]. % 0.61/0.81 apply (zenon_L169_); trivial. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_Ha. zenon_intro zenon_H1f2. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H1cf. zenon_intro zenon_H1f3. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d0. zenon_intro zenon_H1e8. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H167 | zenon_intro zenon_H1f6 ]. % 0.61/0.81 apply (zenon_L128_); trivial. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H1cd | zenon_intro zenon_H43 ]. % 0.61/0.81 apply (zenon_L173_); trivial. % 0.61/0.81 apply (zenon_L185_); trivial. % 0.61/0.81 apply (zenon_L175_); trivial. % 0.61/0.81 (* end of lemma zenon_L186_ *) % 0.61/0.81 assert (zenon_L187_ : (forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))) -> (ndr1_0) -> (~(c3_1 (a128))) -> (c0_1 (a128)) -> (c1_1 (a128)) -> False). % 0.61/0.81 do 0 intro. intros zenon_H1fe zenon_Ha zenon_H1ff zenon_H200 zenon_H201. % 0.61/0.81 generalize (zenon_H1fe (a128)). zenon_intro zenon_H202. % 0.61/0.81 apply (zenon_imply_s _ _ zenon_H202); [ zenon_intro zenon_H9 | zenon_intro zenon_H203 ]. % 0.61/0.81 exact (zenon_H9 zenon_Ha). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H205 | zenon_intro zenon_H204 ]. % 0.61/0.81 exact (zenon_H1ff zenon_H205). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H207 | zenon_intro zenon_H206 ]. % 0.61/0.81 exact (zenon_H207 zenon_H200). % 0.61/0.81 exact (zenon_H206 zenon_H201). % 0.61/0.81 (* end of lemma zenon_L187_ *) % 0.61/0.81 assert (zenon_L188_ : (~(hskp11)) -> (hskp11) -> False). % 0.61/0.81 do 0 intro. intros zenon_H208 zenon_H209. % 0.61/0.81 exact (zenon_H208 zenon_H209). % 0.61/0.81 (* end of lemma zenon_L188_ *) % 0.61/0.81 assert (zenon_L189_ : ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/((hskp12)\/(hskp11))) -> (c1_1 (a128)) -> (c0_1 (a128)) -> (~(c3_1 (a128))) -> (ndr1_0) -> (~(hskp12)) -> (~(hskp11)) -> False). % 0.61/0.81 do 0 intro. intros zenon_H20a zenon_H201 zenon_H200 zenon_H1ff zenon_Ha zenon_H1 zenon_H208. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fe | zenon_intro zenon_H20b ]. % 0.61/0.81 apply (zenon_L187_); trivial. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H2 | zenon_intro zenon_H209 ]. % 0.61/0.81 exact (zenon_H1 zenon_H2). % 0.61/0.81 exact (zenon_H208 zenon_H209). % 0.61/0.81 (* end of lemma zenon_L189_ *) % 0.61/0.81 assert (zenon_L190_ : (forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(c3_1 X79))))) -> (ndr1_0) -> (~(c1_1 (a141))) -> (~(c2_1 (a141))) -> (~(c3_1 (a141))) -> False). % 0.61/0.81 do 0 intro. intros zenon_H20c zenon_Ha zenon_H20d zenon_H20e zenon_H20f. % 0.61/0.81 generalize (zenon_H20c (a141)). zenon_intro zenon_H210. % 0.61/0.81 apply (zenon_imply_s _ _ zenon_H210); [ zenon_intro zenon_H9 | zenon_intro zenon_H211 ]. % 0.61/0.81 exact (zenon_H9 zenon_Ha). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H213 | zenon_intro zenon_H212 ]. % 0.61/0.81 exact (zenon_H20d zenon_H213). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H215 | zenon_intro zenon_H214 ]. % 0.61/0.81 exact (zenon_H20e zenon_H215). % 0.61/0.81 exact (zenon_H20f zenon_H214). % 0.61/0.81 (* end of lemma zenon_L190_ *) % 0.61/0.81 assert (zenon_L191_ : ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(c3_1 X79)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> (~(c3_1 (a141))) -> (~(c2_1 (a141))) -> (~(c1_1 (a141))) -> (c1_1 (a128)) -> (c0_1 (a128)) -> (~(c3_1 (a128))) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.61/0.81 do 0 intro. intros zenon_H216 zenon_H20f zenon_H20e zenon_H20d zenon_H201 zenon_H200 zenon_H1ff zenon_Ha zenon_H1. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H20c | zenon_intro zenon_H217 ]. % 0.61/0.81 apply (zenon_L190_); trivial. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fe | zenon_intro zenon_H2 ]. % 0.61/0.81 apply (zenon_L187_); trivial. % 0.61/0.81 exact (zenon_H1 zenon_H2). % 0.61/0.81 (* end of lemma zenon_L191_ *) % 0.61/0.81 assert (zenon_L192_ : ((~(hskp11))\/((ndr1_0)/\((~(c1_1 (a141)))/\((~(c2_1 (a141)))/\(~(c3_1 (a141))))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(c3_1 X79)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/((hskp12)\/(hskp11))) -> (c1_1 (a128)) -> (c0_1 (a128)) -> (~(c3_1 (a128))) -> (ndr1_0) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((hskp3)\/(hskp15))) -> (~(hskp3)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp0)\/(hskp18))) -> (~(hskp0)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6))) -> ((~(hskp25))\/((ndr1_0)/\((c3_1 (a189))/\((~(c0_1 (a189)))/\(~(c1_1 (a189))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a160))/\((~(c1_1 (a160)))/\(~(c2_1 (a160))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142))))))) -> False). % 0.61/0.81 do 0 intro. intros zenon_H218 zenon_H216 zenon_H20a zenon_H201 zenon_H200 zenon_H1ff zenon_Ha zenon_H7b zenon_H4d zenon_H27 zenon_H23 zenon_H93 zenon_H3b zenon_H3d zenon_H67 zenon_H68 zenon_H89 zenon_Hae. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H208 | zenon_intro zenon_H219 ]. % 0.61/0.81 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.81 apply (zenon_L189_); trivial. % 0.61/0.81 apply (zenon_L69_); trivial. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Ha. zenon_intro zenon_H21a. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H20d. zenon_intro zenon_H21b. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H20e. zenon_intro zenon_H20f. % 0.61/0.81 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.81 apply (zenon_L191_); trivial. % 0.61/0.81 apply (zenon_L69_); trivial. % 0.61/0.81 (* end of lemma zenon_L192_ *) % 0.61/0.81 assert (zenon_L193_ : ((ndr1_0)/\((~(c0_1 (a131)))/\((~(c1_1 (a131)))/\(~(c2_1 (a131)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp1))) -> (c1_1 (a128)) -> (c0_1 (a128)) -> (~(c3_1 (a128))) -> (~(hskp1)) -> False). % 0.61/0.81 do 0 intro. intros zenon_Hef zenon_H21c zenon_H201 zenon_H200 zenon_H1ff zenon_Hda. % 0.61/0.81 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Ha. zenon_intro zenon_Hf0. % 0.61/0.81 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He1. zenon_intro zenon_Hf1. % 0.61/0.81 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_He2. zenon_intro zenon_He3. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_He0 | zenon_intro zenon_H21d ]. % 0.61/0.81 apply (zenon_L70_); trivial. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H1fe | zenon_intro zenon_Hdb ]. % 0.61/0.81 apply (zenon_L187_); trivial. % 0.61/0.81 exact (zenon_Hda zenon_Hdb). % 0.61/0.81 (* end of lemma zenon_L193_ *) % 0.61/0.81 assert (zenon_L194_ : ((~(hskp6))\/((ndr1_0)/\((~(c0_1 (a131)))/\((~(c1_1 (a131)))/\(~(c2_1 (a131))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a160))/\((~(c1_1 (a160)))/\(~(c2_1 (a160))))))) -> ((~(hskp25))\/((ndr1_0)/\((c3_1 (a189))/\((~(c0_1 (a189)))/\(~(c1_1 (a189))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/(hskp6))) -> (~(hskp0)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp0)\/(hskp18))) -> (~(hskp3)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((hskp3)\/(hskp15))) -> (ndr1_0) -> (~(c3_1 (a128))) -> (c0_1 (a128)) -> (c1_1 (a128)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/((hskp12)\/(hskp11))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(c3_1 X79)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> ((~(hskp11))\/((ndr1_0)/\((~(c1_1 (a141)))/\((~(c2_1 (a141)))/\(~(c3_1 (a141))))))) -> False). % 0.61/0.81 do 0 intro. intros zenon_Hee zenon_H21c zenon_Hda zenon_Hae zenon_H89 zenon_H68 zenon_H67 zenon_H3d zenon_H93 zenon_H23 zenon_H27 zenon_H4d zenon_H7b zenon_Ha zenon_H1ff zenon_H200 zenon_H201 zenon_H20a zenon_H216 zenon_H218. % 0.61/0.81 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H3b | zenon_intro zenon_Hef ]. % 0.61/0.81 apply (zenon_L192_); trivial. % 0.61/0.81 apply (zenon_L193_); trivial. % 0.61/0.81 (* end of lemma zenon_L194_ *) % 0.61/0.81 assert (zenon_L195_ : ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6))) -> (c3_1 (a164)) -> (c1_1 (a164)) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y)))))) -> (~(c2_1 (a164))) -> (ndr1_0) -> (~(hskp25)) -> (~(hskp6)) -> False). % 0.61/0.81 do 0 intro. intros zenon_H3d zenon_He zenon_Hd zenon_Hd1 zenon_Hc zenon_Ha zenon_H39 zenon_H3b. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H29 | zenon_intro zenon_H3e ]. % 0.61/0.81 apply (zenon_L63_); trivial. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H3a | zenon_intro zenon_H3c ]. % 0.61/0.81 exact (zenon_H39 zenon_H3a). % 0.61/0.81 exact (zenon_H3b zenon_H3c). % 0.61/0.81 (* end of lemma zenon_L195_ *) % 0.61/0.81 assert (zenon_L196_ : ((~(hskp25))\/((ndr1_0)/\((c3_1 (a189))/\((~(c0_1 (a189)))/\(~(c1_1 (a189))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a138)) -> (c0_1 (a138)) -> (~(c2_1 (a138))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c0_1 X51)\/((~(c1_1 X51))\/(~(c2_1 X51))))))\/((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/(forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))))) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c2_1 (a134)) -> (~(hskp22)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp22)) -> (c2_1 (a125)) -> (c1_1 (a125)) -> (~(c0_1 (a125))) -> (ndr1_0) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a164)) -> (c1_1 (a164)) -> (~(c2_1 (a164))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(hskp4))) -> False). % 0.61/0.81 do 0 intro. intros zenon_H67 zenon_Ha5 zenon_Ha3 zenon_H9c zenon_H9b zenon_H9a zenon_H16b zenon_Hb3 zenon_Hb4 zenon_Hb5 zenon_H164 zenon_H166 zenon_H154 zenon_H153 zenon_H152 zenon_Ha zenon_H3d zenon_H3b zenon_He zenon_Hd zenon_Hc zenon_H16d zenon_H185. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H39 | zenon_intro zenon_H63 ]. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H167 | zenon_intro zenon_H186 ]. % 0.61/0.81 apply (zenon_L128_); trivial. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H16e ]. % 0.61/0.81 apply (zenon_L195_); trivial. % 0.61/0.81 exact (zenon_H16d zenon_H16e). % 0.61/0.81 apply (zenon_L47_); trivial. % 0.61/0.81 (* end of lemma zenon_L196_ *) % 0.61/0.81 assert (zenon_L197_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(hskp13))) -> (~(hskp6)) -> (~(hskp25)) -> (~(c2_1 (a164))) -> (c1_1 (a164)) -> (c3_1 (a164)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6))) -> (c0_1 (a176)) -> (~(c2_1 (a176))) -> (~(c1_1 (a176))) -> (ndr1_0) -> (~(hskp13)) -> False). % 0.61/0.81 do 0 intro. intros zenon_H17f zenon_H3b zenon_H39 zenon_Hc zenon_Hd zenon_He zenon_H3d zenon_H172 zenon_H171 zenon_H170 zenon_Ha zenon_H5. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H182 ]. % 0.61/0.81 apply (zenon_L195_); trivial. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H16f | zenon_intro zenon_H6 ]. % 0.61/0.81 apply (zenon_L130_); trivial. % 0.61/0.81 exact (zenon_H5 zenon_H6). % 0.61/0.81 (* end of lemma zenon_L197_ *) % 0.61/0.81 assert (zenon_L198_ : ((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176)))))) -> ((~(hskp25))\/((ndr1_0)/\((c3_1 (a189))/\((~(c0_1 (a189)))/\(~(c1_1 (a189))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a138)) -> (c0_1 (a138)) -> (~(c2_1 (a138))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a164)) -> (c1_1 (a164)) -> (~(c2_1 (a164))) -> (~(hskp13)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(hskp13))) -> False). % 0.61/0.81 do 0 intro. intros zenon_H17e zenon_H67 zenon_Ha5 zenon_Ha3 zenon_H9c zenon_H9b zenon_H9a zenon_H3d zenon_H3b zenon_He zenon_Hd zenon_Hc zenon_H5 zenon_H17f. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_Ha. zenon_intro zenon_H180. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H172. zenon_intro zenon_H181. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H39 | zenon_intro zenon_H63 ]. % 0.61/0.81 apply (zenon_L197_); trivial. % 0.61/0.81 apply (zenon_L47_); trivial. % 0.61/0.81 (* end of lemma zenon_L198_ *) % 0.61/0.81 assert (zenon_L199_ : ((ndr1_0)/\((c0_1 (a138))/\((c1_1 (a138))/\(~(c2_1 (a138)))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c1_1 (a141)))/\((~(c2_1 (a141)))/\(~(c3_1 (a141))))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(c3_1 X79)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/((hskp12)\/(hskp11))) -> (c1_1 (a128)) -> (c0_1 (a128)) -> (~(c3_1 (a128))) -> (~(hskp7)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142))))))) -> False). % 0.61/0.81 do 0 intro. intros zenon_H112 zenon_H218 zenon_H216 zenon_H20a zenon_H201 zenon_H200 zenon_H1ff zenon_Ha3 zenon_Ha7 zenon_Hae. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H9b. zenon_intro zenon_H114. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H208 | zenon_intro zenon_H219 ]. % 0.61/0.81 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.81 apply (zenon_L189_); trivial. % 0.61/0.81 apply (zenon_L52_); trivial. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Ha. zenon_intro zenon_H21a. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H20d. zenon_intro zenon_H21b. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H20e. zenon_intro zenon_H20f. % 0.61/0.81 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.81 apply (zenon_L191_); trivial. % 0.61/0.81 apply (zenon_L52_); trivial. % 0.61/0.81 (* end of lemma zenon_L199_ *) % 0.61/0.81 assert (zenon_L200_ : ((~(hskp9))\/((ndr1_0)/\((c0_1 (a138))/\((c1_1 (a138))/\(~(c2_1 (a138))))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c1_1 (a141)))/\((~(c2_1 (a141)))/\(~(c3_1 (a141))))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(c3_1 X79)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/((hskp12)\/(hskp11))) -> (~(hskp7)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142))))))) -> (ndr1_0) -> (~(c2_1 (a127))) -> (~(c3_1 (a127))) -> (c1_1 (a127)) -> (~(c3_1 (a128))) -> (c0_1 (a128)) -> (c1_1 (a128)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp9))) -> False). % 0.61/0.81 do 0 intro. intros zenon_H115 zenon_H218 zenon_H216 zenon_H20a zenon_Ha3 zenon_Ha7 zenon_Hae zenon_Ha zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H1ff zenon_H200 zenon_H201 zenon_H21e. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H5f | zenon_intro zenon_H112 ]. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H21f ]. % 0.61/0.81 apply (zenon_L74_); trivial. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H1fe | zenon_intro zenon_H60 ]. % 0.61/0.81 apply (zenon_L187_); trivial. % 0.61/0.81 exact (zenon_H5f zenon_H60). % 0.61/0.81 apply (zenon_L199_); trivial. % 0.61/0.81 (* end of lemma zenon_L200_ *) % 0.61/0.81 assert (zenon_L201_ : ((ndr1_0)/\((c2_1 (a134))/\((~(c0_1 (a134)))/\(~(c3_1 (a134)))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c1_1 (a141)))/\((~(c2_1 (a141)))/\(~(c3_1 (a141))))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(c3_1 X79)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/((hskp12)\/(hskp11))) -> (c1_1 (a128)) -> (c0_1 (a128)) -> (~(c3_1 (a128))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c2_1 (a132))) -> (~(c0_1 (a132))) -> (c1_1 (a127)) -> (~(c3_1 (a127))) -> (~(c2_1 (a127))) -> (~(hskp6)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/(hskp6))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142))))))) -> False). % 0.61/0.81 do 0 intro. intros zenon_Hce zenon_H218 zenon_H216 zenon_H20a zenon_H201 zenon_H200 zenon_H1ff zenon_H147 zenon_H118 zenon_H116 zenon_H127 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H3b zenon_H93 zenon_Hae. % 0.61/0.81 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Ha. zenon_intro zenon_Hcf. % 0.61/0.81 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hb5. zenon_intro zenon_Hd0. % 0.61/0.81 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_Hb3. zenon_intro zenon_Hb4. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H208 | zenon_intro zenon_H219 ]. % 0.61/0.81 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.81 apply (zenon_L189_); trivial. % 0.61/0.81 apply (zenon_L113_); trivial. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Ha. zenon_intro zenon_H21a. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H20d. zenon_intro zenon_H21b. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H20e. zenon_intro zenon_H20f. % 0.61/0.81 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.81 apply (zenon_L191_); trivial. % 0.61/0.81 apply (zenon_L113_); trivial. % 0.61/0.81 (* end of lemma zenon_L201_ *) % 0.61/0.81 assert (zenon_L202_ : ((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(~(c3_1 (a128)))))) -> ((~(hskp6))\/((ndr1_0)/\((~(c0_1 (a131)))/\((~(c1_1 (a131)))/\(~(c2_1 (a131))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp0))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a138))/\((c1_1 (a138))/\(~(c2_1 (a138))))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c1_1 (a141)))/\((~(c2_1 (a141)))/\(~(c3_1 (a141))))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(c3_1 X79)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/((hskp12)\/(hskp11))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142))))))) -> (~(c2_1 (a127))) -> (~(c3_1 (a127))) -> (c1_1 (a127)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp9))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a160))/\((~(c1_1 (a160)))/\(~(c2_1 (a160))))))) -> ((~(hskp25))\/((ndr1_0)/\((c3_1 (a189))/\((~(c0_1 (a189)))/\(~(c1_1 (a189))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6))) -> (~(hskp0)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp0)\/(hskp18))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/(hskp6))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp15)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((~(c0_1 (a182)))/\((~(c2_1 (a182)))/\(~(c3_1 (a182))))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(c3_1 X33)))))\/((forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp8))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((hskp15)\/(hskp24))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a143))/\((c3_1 (a143))/\(~(c1_1 (a143))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a134))/\((~(c0_1 (a134)))/\(~(c3_1 (a134))))))) -> ((~(hskp7))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c2_1 (a132))))))) -> False). % 0.61/0.81 do 0 intro. intros zenon_H220 zenon_Hee zenon_H14f zenon_H115 zenon_H218 zenon_H216 zenon_H20a zenon_Ha7 zenon_Hae zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H21e zenon_H89 zenon_H68 zenon_H67 zenon_H3d zenon_H23 zenon_H27 zenon_H93 zenon_H17 zenon_H111 zenon_H141 zenon_H100 zenon_Haf zenon_H147 zenon_H14a zenon_H183. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_Ha. zenon_intro zenon_H221. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H200. zenon_intro zenon_H222. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H201. zenon_intro zenon_H1ff. % 0.61/0.81 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H3b | zenon_intro zenon_Hef ]. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H149 ]. % 0.61/0.81 apply (zenon_L200_); trivial. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_Ha. zenon_intro zenon_H14c. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H118. zenon_intro zenon_H14d. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H127. zenon_intro zenon_H116. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H41 | zenon_intro zenon_Hce ]. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H208 | zenon_intro zenon_H219 ]. % 0.61/0.81 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.81 apply (zenon_L189_); trivial. % 0.61/0.81 apply (zenon_L107_); trivial. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Ha. zenon_intro zenon_H21a. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H20d. zenon_intro zenon_H21b. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H20e. zenon_intro zenon_H20f. % 0.61/0.81 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.81 apply (zenon_L191_); trivial. % 0.61/0.81 apply (zenon_L107_); trivial. % 0.61/0.81 apply (zenon_L201_); trivial. % 0.61/0.81 apply (zenon_L115_); trivial. % 0.61/0.81 (* end of lemma zenon_L202_ *) % 0.61/0.81 assert (zenon_L203_ : ((hskp27)\/((hskp3)\/(hskp15))) -> (~(hskp27)) -> (~(hskp3)) -> (~(hskp15)) -> False). % 0.61/0.81 do 0 intro. intros zenon_H223 zenon_H1c9 zenon_H4d zenon_H15. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H1ca | zenon_intro zenon_H7c ]. % 0.61/0.81 exact (zenon_H1c9 zenon_H1ca). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H4e | zenon_intro zenon_H16 ]. % 0.61/0.81 exact (zenon_H4d zenon_H4e). % 0.61/0.81 exact (zenon_H15 zenon_H16). % 0.61/0.81 (* end of lemma zenon_L203_ *) % 0.61/0.81 assert (zenon_L204_ : (forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59)))))) -> (ndr1_0) -> (~(c0_1 (a124))) -> (~(c3_1 (a124))) -> (c1_1 (a124)) -> False). % 0.61/0.81 do 0 intro. intros zenon_H1e4 zenon_Ha zenon_H224 zenon_H225 zenon_H226. % 0.61/0.81 generalize (zenon_H1e4 (a124)). zenon_intro zenon_H227. % 0.61/0.81 apply (zenon_imply_s _ _ zenon_H227); [ zenon_intro zenon_H9 | zenon_intro zenon_H228 ]. % 0.61/0.81 exact (zenon_H9 zenon_Ha). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H22a | zenon_intro zenon_H229 ]. % 0.61/0.81 exact (zenon_H224 zenon_H22a). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H22c | zenon_intro zenon_H22b ]. % 0.61/0.81 exact (zenon_H225 zenon_H22c). % 0.61/0.81 exact (zenon_H22b zenon_H226). % 0.61/0.81 (* end of lemma zenon_L204_ *) % 0.61/0.81 assert (zenon_L205_ : (forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))) -> (ndr1_0) -> (~(c3_1 (a124))) -> (forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59)))))) -> (c1_1 (a124)) -> False). % 0.61/0.81 do 0 intro. intros zenon_H1fe zenon_Ha zenon_H225 zenon_H1e4 zenon_H226. % 0.61/0.81 generalize (zenon_H1fe (a124)). zenon_intro zenon_H22d. % 0.61/0.81 apply (zenon_imply_s _ _ zenon_H22d); [ zenon_intro zenon_H9 | zenon_intro zenon_H22e ]. % 0.61/0.81 exact (zenon_H9 zenon_Ha). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H22c | zenon_intro zenon_H22f ]. % 0.61/0.81 exact (zenon_H225 zenon_H22c). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H224 | zenon_intro zenon_H22b ]. % 0.61/0.81 apply (zenon_L204_); trivial. % 0.61/0.81 exact (zenon_H22b zenon_H226). % 0.61/0.81 (* end of lemma zenon_L205_ *) % 0.61/0.81 assert (zenon_L206_ : (forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))) -> (ndr1_0) -> (~(c3_1 (a124))) -> (c1_1 (a124)) -> (c2_1 (a124)) -> False). % 0.61/0.81 do 0 intro. intros zenon_H15b zenon_Ha zenon_H225 zenon_H226 zenon_H230. % 0.61/0.81 generalize (zenon_H15b (a124)). zenon_intro zenon_H231. % 0.61/0.81 apply (zenon_imply_s _ _ zenon_H231); [ zenon_intro zenon_H9 | zenon_intro zenon_H232 ]. % 0.61/0.81 exact (zenon_H9 zenon_Ha). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H22c | zenon_intro zenon_H233 ]. % 0.61/0.81 exact (zenon_H225 zenon_H22c). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H22b | zenon_intro zenon_H234 ]. % 0.61/0.81 exact (zenon_H22b zenon_H226). % 0.61/0.81 exact (zenon_H234 zenon_H230). % 0.61/0.81 (* end of lemma zenon_L206_ *) % 0.61/0.81 assert (zenon_L207_ : ((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> (~(hskp11)) -> (~(hskp12)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/((hskp12)\/(hskp11))) -> (c2_1 (a124)) -> (c1_1 (a124)) -> (~(c3_1 (a124))) -> False). % 0.61/0.81 do 0 intro. intros zenon_H1f1 zenon_H1ed zenon_H208 zenon_H1 zenon_H20a zenon_H230 zenon_H226 zenon_H225. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_Ha. zenon_intro zenon_H1f2. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H1cf. zenon_intro zenon_H1f3. % 0.61/0.81 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d0. zenon_intro zenon_H1e8. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1ee ]. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fe | zenon_intro zenon_H20b ]. % 0.61/0.81 apply (zenon_L205_); trivial. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H2 | zenon_intro zenon_H209 ]. % 0.61/0.81 exact (zenon_H1 zenon_H2). % 0.61/0.81 exact (zenon_H208 zenon_H209). % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H15b | zenon_intro zenon_H13e ]. % 0.61/0.81 apply (zenon_L206_); trivial. % 0.61/0.81 apply (zenon_L177_); trivial. % 0.61/0.81 (* end of lemma zenon_L207_ *) % 0.61/0.81 assert (zenon_L208_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122)))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> (c2_1 (a124)) -> (~(c3_1 (a124))) -> (c1_1 (a124)) -> (~(hskp12)) -> (~(hskp11)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/((hskp12)\/(hskp11))) -> (~(hskp3)) -> (~(hskp15)) -> ((hskp27)\/((hskp3)\/(hskp15))) -> False). % 0.61/0.81 do 0 intro. intros zenon_H1f4 zenon_H1ed zenon_H230 zenon_H225 zenon_H226 zenon_H1 zenon_H208 zenon_H20a zenon_H4d zenon_H15 zenon_H223. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H1f1 ]. % 0.61/0.81 apply (zenon_L203_); trivial. % 0.61/0.81 apply (zenon_L207_); trivial. % 0.61/0.81 (* end of lemma zenon_L208_ *) % 0.61/0.81 assert (zenon_L209_ : ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp22)) -> (~(hskp22)) -> (c2_1 (a124)) -> (c1_1 (a124)) -> (~(c3_1 (a124))) -> (ndr1_0) -> False). % 0.61/0.81 do 0 intro. intros zenon_H166 zenon_H164 zenon_H230 zenon_H226 zenon_H225 zenon_Ha. % 0.61/0.81 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H15b | zenon_intro zenon_H165 ]. % 0.61/0.82 apply (zenon_L206_); trivial. % 0.61/0.82 exact (zenon_H164 zenon_H165). % 0.61/0.82 (* end of lemma zenon_L209_ *) % 0.61/0.82 assert (zenon_L210_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/((hskp19)\/(hskp17))) -> (~(hskp17)) -> (~(hskp19)) -> (ndr1_0) -> (~(c3_1 (a124))) -> (c1_1 (a124)) -> (c2_1 (a124)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp22)) -> False). % 0.61/0.82 do 0 intro. intros zenon_H184 zenon_H1c5 zenon_H122 zenon_H3 zenon_Ha zenon_H225 zenon_H226 zenon_H230 zenon_H166. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H164 | zenon_intro zenon_H17e ]. % 0.61/0.82 apply (zenon_L209_); trivial. % 0.61/0.82 apply (zenon_L157_); trivial. % 0.61/0.82 (* end of lemma zenon_L210_ *) % 0.61/0.82 assert (zenon_L211_ : ((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(hskp13))) -> (~(hskp13)) -> (~(c3_1 (a124))) -> (c1_1 (a124)) -> (c2_1 (a124)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp22)) -> False). % 0.61/0.82 do 0 intro. intros zenon_H136 zenon_H184 zenon_H17f zenon_H5 zenon_H225 zenon_H226 zenon_H230 zenon_H166. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Ha. zenon_intro zenon_H137. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H12f. zenon_intro zenon_H138. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H164 | zenon_intro zenon_H17e ]. % 0.61/0.82 apply (zenon_L209_); trivial. % 0.61/0.82 apply (zenon_L159_); trivial. % 0.61/0.82 (* end of lemma zenon_L211_ *) % 0.61/0.82 assert (zenon_L212_ : ((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/((hskp19)\/(hskp17))) -> (~(c3_1 (a124))) -> (c1_1 (a124)) -> (c2_1 (a124)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp22)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (~(hskp13)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> False). % 0.61/0.82 do 0 intro. intros zenon_H86 zenon_H143 zenon_H184 zenon_H1c5 zenon_H225 zenon_H226 zenon_H230 zenon_H166 zenon_H17c zenon_H5 zenon_H17f zenon_H95. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_Ha. zenon_intro zenon_H87. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H1b. zenon_intro zenon_H88. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H1c. zenon_intro zenon_H1a. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H122 | zenon_intro zenon_H136 ]. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H96 ]. % 0.61/0.82 apply (zenon_L210_); trivial. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_Ha. zenon_intro zenon_H97. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_Hd. zenon_intro zenon_H98. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H164 | zenon_intro zenon_H17e ]. % 0.61/0.82 apply (zenon_L209_); trivial. % 0.61/0.82 apply (zenon_L133_); trivial. % 0.61/0.82 apply (zenon_L211_); trivial. % 0.61/0.82 (* end of lemma zenon_L212_ *) % 0.61/0.82 assert (zenon_L213_ : ((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> (~(hskp12)) -> (~(c1_1 (a141))) -> (~(c2_1 (a141))) -> (~(c3_1 (a141))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(c3_1 X79)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> (c2_1 (a124)) -> (c1_1 (a124)) -> (~(c3_1 (a124))) -> False). % 0.61/0.82 do 0 intro. intros zenon_H1f1 zenon_H1ed zenon_H1 zenon_H20d zenon_H20e zenon_H20f zenon_H216 zenon_H230 zenon_H226 zenon_H225. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_Ha. zenon_intro zenon_H1f2. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H1cf. zenon_intro zenon_H1f3. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d0. zenon_intro zenon_H1e8. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1ee ]. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H20c | zenon_intro zenon_H217 ]. % 0.61/0.82 apply (zenon_L190_); trivial. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fe | zenon_intro zenon_H2 ]. % 0.61/0.82 apply (zenon_L205_); trivial. % 0.61/0.82 exact (zenon_H1 zenon_H2). % 0.61/0.82 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H15b | zenon_intro zenon_H13e ]. % 0.61/0.82 apply (zenon_L206_); trivial. % 0.61/0.82 apply (zenon_L177_); trivial. % 0.61/0.82 (* end of lemma zenon_L213_ *) % 0.61/0.82 assert (zenon_L214_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122)))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> (c2_1 (a124)) -> (~(c1_1 (a141))) -> (~(c2_1 (a141))) -> (~(c3_1 (a141))) -> (~(c3_1 (a124))) -> (c1_1 (a124)) -> (~(hskp12)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(c3_1 X79)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> (~(hskp3)) -> (~(hskp15)) -> ((hskp27)\/((hskp3)\/(hskp15))) -> False). % 0.61/0.82 do 0 intro. intros zenon_H1f4 zenon_H1ed zenon_H230 zenon_H20d zenon_H20e zenon_H20f zenon_H225 zenon_H226 zenon_H1 zenon_H216 zenon_H4d zenon_H15 zenon_H223. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H1f1 ]. % 0.61/0.82 apply (zenon_L203_); trivial. % 0.61/0.82 apply (zenon_L213_); trivial. % 0.61/0.82 (* end of lemma zenon_L214_ *) % 0.61/0.82 assert (zenon_L215_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/((hskp19)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp22)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (~(hskp13)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> ((hskp27)\/((hskp3)\/(hskp15))) -> (~(hskp3)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(c3_1 X79)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a124)) -> (~(c3_1 (a124))) -> (~(c3_1 (a141))) -> (~(c2_1 (a141))) -> (~(c1_1 (a141))) -> (c2_1 (a124)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122)))))) -> False). % 0.61/0.82 do 0 intro. intros zenon_H89 zenon_H143 zenon_H184 zenon_H1c5 zenon_H166 zenon_H17c zenon_H5 zenon_H17f zenon_H95 zenon_H223 zenon_H4d zenon_H216 zenon_H1 zenon_H226 zenon_H225 zenon_H20f zenon_H20e zenon_H20d zenon_H230 zenon_H1ed zenon_H1f4. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H15 | zenon_intro zenon_H86 ]. % 0.61/0.82 apply (zenon_L214_); trivial. % 0.61/0.82 apply (zenon_L212_); trivial. % 0.61/0.82 (* end of lemma zenon_L215_ *) % 0.61/0.82 assert (zenon_L216_ : ((~(hskp11))\/((ndr1_0)/\((~(c1_1 (a141)))/\((~(c2_1 (a141)))/\(~(c3_1 (a141))))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(c3_1 X79)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a143))/\((c3_1 (a143))/\(~(c1_1 (a143))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a160))/\((~(c1_1 (a160)))/\(~(c2_1 (a160))))))) -> ((~(hskp25))\/((ndr1_0)/\((c3_1 (a189))/\((~(c0_1 (a189)))/\(~(c1_1 (a189))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6))) -> (~(hskp6)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(hskp0)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp0)\/(hskp18))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122)))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> (c2_1 (a124)) -> (~(c3_1 (a124))) -> (c1_1 (a124)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/((hskp12)\/(hskp11))) -> (~(hskp3)) -> ((hskp27)\/((hskp3)\/(hskp15))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(hskp13))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp22)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/((hskp19)\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((hskp3)\/(hskp15))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/(hskp6))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142))))))) -> False). % 0.61/0.82 do 0 intro. intros zenon_H218 zenon_H216 zenon_Haf zenon_H68 zenon_H67 zenon_H3d zenon_H3b zenon_H84 zenon_H23 zenon_H27 zenon_H1f4 zenon_H1ed zenon_H230 zenon_H225 zenon_H226 zenon_H20a zenon_H4d zenon_H223 zenon_H95 zenon_H17f zenon_H17c zenon_H166 zenon_H1c5 zenon_H184 zenon_H143 zenon_H89 zenon_H7b zenon_H93 zenon_Hae. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H208 | zenon_intro zenon_H219 ]. % 0.61/0.82 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.82 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha8 ]. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H15 | zenon_intro zenon_H86 ]. % 0.61/0.82 apply (zenon_L208_); trivial. % 0.61/0.82 apply (zenon_L212_); trivial. % 0.61/0.82 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.61/0.82 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H6e. zenon_intro zenon_Haa. % 0.61/0.82 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H15 | zenon_intro zenon_H86 ]. % 0.61/0.82 apply (zenon_L208_); trivial. % 0.61/0.82 apply (zenon_L36_); trivial. % 0.61/0.82 apply (zenon_L69_); trivial. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Ha. zenon_intro zenon_H21a. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H20d. zenon_intro zenon_H21b. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H20e. zenon_intro zenon_H20f. % 0.61/0.82 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.82 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha8 ]. % 0.61/0.82 apply (zenon_L215_); trivial. % 0.61/0.82 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.61/0.82 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H6e. zenon_intro zenon_Haa. % 0.61/0.82 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H15 | zenon_intro zenon_H86 ]. % 0.61/0.82 apply (zenon_L214_); trivial. % 0.61/0.82 apply (zenon_L36_); trivial. % 0.61/0.82 apply (zenon_L69_); trivial. % 0.61/0.82 (* end of lemma zenon_L216_ *) % 0.61/0.82 assert (zenon_L217_ : (forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))) -> (ndr1_0) -> (~(c3_1 (a124))) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5)))))) -> (c2_1 (a124)) -> (c1_1 (a124)) -> False). % 0.61/0.82 do 0 intro. intros zenon_H1fe zenon_Ha zenon_H225 zenon_Hb2 zenon_H230 zenon_H226. % 0.61/0.82 generalize (zenon_H1fe (a124)). zenon_intro zenon_H22d. % 0.61/0.82 apply (zenon_imply_s _ _ zenon_H22d); [ zenon_intro zenon_H9 | zenon_intro zenon_H22e ]. % 0.61/0.82 exact (zenon_H9 zenon_Ha). % 0.61/0.82 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H22c | zenon_intro zenon_H22f ]. % 0.61/0.82 exact (zenon_H225 zenon_H22c). % 0.61/0.82 apply (zenon_or_s _ _ zenon_H22f); [ zenon_intro zenon_H224 | zenon_intro zenon_H22b ]. % 0.61/0.82 generalize (zenon_Hb2 (a124)). zenon_intro zenon_H235. % 0.61/0.82 apply (zenon_imply_s _ _ zenon_H235); [ zenon_intro zenon_H9 | zenon_intro zenon_H236 ]. % 0.61/0.82 exact (zenon_H9 zenon_Ha). % 0.61/0.82 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H22a | zenon_intro zenon_H237 ]. % 0.61/0.82 exact (zenon_H224 zenon_H22a). % 0.61/0.82 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H22c | zenon_intro zenon_H234 ]. % 0.61/0.82 exact (zenon_H225 zenon_H22c). % 0.61/0.82 exact (zenon_H234 zenon_H230). % 0.61/0.82 exact (zenon_H22b zenon_H226). % 0.61/0.82 (* end of lemma zenon_L217_ *) % 0.61/0.82 assert (zenon_L218_ : ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/((hskp12)\/(hskp11))) -> (c1_1 (a124)) -> (c2_1 (a124)) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5)))))) -> (~(c3_1 (a124))) -> (ndr1_0) -> (~(hskp12)) -> (~(hskp11)) -> False). % 0.61/0.82 do 0 intro. intros zenon_H20a zenon_H226 zenon_H230 zenon_Hb2 zenon_H225 zenon_Ha zenon_H1 zenon_H208. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fe | zenon_intro zenon_H20b ]. % 0.61/0.82 apply (zenon_L217_); trivial. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H2 | zenon_intro zenon_H209 ]. % 0.61/0.82 exact (zenon_H1 zenon_H2). % 0.61/0.82 exact (zenon_H208 zenon_H209). % 0.61/0.82 (* end of lemma zenon_L218_ *) % 0.61/0.82 assert (zenon_L219_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp27))) -> (~(c2_1 (a131))) -> (~(c1_1 (a131))) -> (~(c0_1 (a131))) -> (~(hskp11)) -> (~(hskp12)) -> (ndr1_0) -> (~(c3_1 (a124))) -> (c2_1 (a124)) -> (c1_1 (a124)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/((hskp12)\/(hskp11))) -> (~(hskp27)) -> False). % 0.61/0.82 do 0 intro. intros zenon_H1cb zenon_He3 zenon_He2 zenon_He1 zenon_H208 zenon_H1 zenon_Ha zenon_H225 zenon_H230 zenon_H226 zenon_H20a zenon_H1c9. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_He0 | zenon_intro zenon_H1cc ]. % 0.61/0.82 apply (zenon_L70_); trivial. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H1ca ]. % 0.61/0.82 apply (zenon_L218_); trivial. % 0.61/0.82 exact (zenon_H1c9 zenon_H1ca). % 0.61/0.82 (* end of lemma zenon_L219_ *) % 0.61/0.82 assert (zenon_L220_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122)))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> (ndr1_0) -> (~(c0_1 (a131))) -> (~(c1_1 (a131))) -> (~(c2_1 (a131))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/((hskp12)\/(hskp11))) -> (~(hskp11)) -> (~(hskp12)) -> (c1_1 (a124)) -> (c2_1 (a124)) -> (~(c3_1 (a124))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp27))) -> False). % 0.61/0.82 do 0 intro. intros zenon_H1f4 zenon_H1ed zenon_Ha zenon_He1 zenon_He2 zenon_He3 zenon_H20a zenon_H208 zenon_H1 zenon_H226 zenon_H230 zenon_H225 zenon_H1cb. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H1f1 ]. % 0.61/0.82 apply (zenon_L219_); trivial. % 0.61/0.82 apply (zenon_L207_); trivial. % 0.61/0.82 (* end of lemma zenon_L220_ *) % 0.61/0.82 assert (zenon_L221_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/((hskp19)\/(hskp17))) -> (~(c3_1 (a124))) -> (c1_1 (a124)) -> (c2_1 (a124)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp22)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (~(hskp13)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> (ndr1_0) -> (~(c1_1 (a142))) -> (c0_1 (a142)) -> (c3_1 (a142)) -> (~(hskp3)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((hskp3)\/(hskp15))) -> False). % 0.61/0.82 do 0 intro. intros zenon_H89 zenon_H143 zenon_H184 zenon_H1c5 zenon_H225 zenon_H226 zenon_H230 zenon_H166 zenon_H17c zenon_H5 zenon_H17f zenon_H95 zenon_Ha zenon_H8a zenon_H8b zenon_H8c zenon_H4d zenon_H7b. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H15 | zenon_intro zenon_H86 ]. % 0.61/0.82 apply (zenon_L39_); trivial. % 0.61/0.82 apply (zenon_L212_); trivial. % 0.61/0.82 (* end of lemma zenon_L221_ *) % 0.61/0.82 assert (zenon_L222_ : ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> (c1_1 (a168)) -> (~(c3_1 (a168))) -> (~(c0_1 (a168))) -> (c2_1 (a124)) -> (c1_1 (a124)) -> (~(c3_1 (a124))) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22)))))) -> (ndr1_0) -> (c2_1 (a143)) -> (c3_1 (a143)) -> (~(c1_1 (a143))) -> False). % 0.61/0.82 do 0 intro. intros zenon_H1ed zenon_H1ae zenon_H1ad zenon_H1bc zenon_H230 zenon_H226 zenon_H225 zenon_H2b zenon_Ha zenon_H6e zenon_H6f zenon_H6d. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1ee ]. % 0.61/0.82 apply (zenon_L176_); trivial. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H15b | zenon_intro zenon_H13e ]. % 0.61/0.82 apply (zenon_L206_); trivial. % 0.61/0.82 apply (zenon_L103_); trivial. % 0.61/0.82 (* end of lemma zenon_L222_ *) % 0.61/0.82 assert (zenon_L223_ : ((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c3_1 (a168)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))))) -> (~(c0_1 (a153))) -> (c2_1 (a153)) -> (c3_1 (a153)) -> (~(c2_1 (a164))) -> (c1_1 (a164)) -> (c3_1 (a164)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (~(c3_1 (a124))) -> (c1_1 (a124)) -> (c2_1 (a124)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> (~(c1_1 (a143))) -> (c2_1 (a143)) -> (c3_1 (a143)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp22)\/(hskp7))) -> False). % 0.61/0.82 do 0 intro. intros zenon_H1b9 zenon_H184 zenon_H238 zenon_H1a zenon_H1b zenon_H1c zenon_Hc zenon_Hd zenon_He zenon_H17c zenon_H225 zenon_H226 zenon_H230 zenon_H1ed zenon_H6d zenon_H6e zenon_H6f zenon_Ha3 zenon_H187. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha. zenon_intro zenon_H1ba. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1ae. zenon_intro zenon_H1bb. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1bc. zenon_intro zenon_H1ad. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H164 | zenon_intro zenon_H17e ]. % 0.61/0.82 apply (zenon_L135_); trivial. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_Ha. zenon_intro zenon_H180. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H172. zenon_intro zenon_H181. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H2b | zenon_intro zenon_H239 ]. % 0.61/0.82 apply (zenon_L222_); trivial. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H15b ]. % 0.61/0.82 apply (zenon_L132_); trivial. % 0.61/0.82 apply (zenon_L206_); trivial. % 0.61/0.82 (* end of lemma zenon_L223_ *) % 0.61/0.82 assert (zenon_L224_ : ((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c3_1 (a168)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))))) -> (~(c1_1 (a143))) -> (c3_1 (a143)) -> (c2_1 (a143)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> (c1_1 (a155)) -> (~(c2_1 (a155))) -> (~(c0_1 (a155))) -> (~(c3_1 (a124))) -> (c1_1 (a124)) -> (c2_1 (a124)) -> False). % 0.61/0.82 do 0 intro. intros zenon_H1b9 zenon_H238 zenon_H6d zenon_H6f zenon_H6e zenon_H1ed zenon_H12f zenon_H12e zenon_H12d zenon_H225 zenon_H226 zenon_H230. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha. zenon_intro zenon_H1ba. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1ae. zenon_intro zenon_H1bb. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1bc. zenon_intro zenon_H1ad. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H2b | zenon_intro zenon_H239 ]. % 0.61/0.82 apply (zenon_L222_); trivial. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H15b ]. % 0.61/0.82 apply (zenon_L93_); trivial. % 0.61/0.82 apply (zenon_L206_); trivial. % 0.61/0.82 (* end of lemma zenon_L224_ *) % 0.61/0.82 assert (zenon_L225_ : ((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a143))/\((c3_1 (a143))/\(~(c1_1 (a143))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a179))/\((~(c1_1 (a179)))/\(~(c3_1 (a179))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a167))/\((c1_1 (a167))/\(c3_1 (a167)))))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/((hskp30)\/(hskp20))) -> (~(hskp8)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp8)\/(hskp23))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp22)\/(hskp7))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c3_1 (a168))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((hskp3)\/(hskp15))) -> (~(hskp3)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(hskp13))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp22)) -> (c2_1 (a124)) -> (c1_1 (a124)) -> (~(c3_1 (a124))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/((hskp19)\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153))))))) -> False). % 0.61/0.82 do 0 intro. intros zenon_Hab zenon_Haf zenon_H1a8 zenon_H1a9 zenon_H19a zenon_H41 zenon_H18b zenon_Ha3 zenon_H187 zenon_H1ed zenon_H238 zenon_H1bd zenon_H7b zenon_H4d zenon_H95 zenon_H17f zenon_H17c zenon_H166 zenon_H230 zenon_H226 zenon_H225 zenon_H1c5 zenon_H184 zenon_H143 zenon_H89. % 0.61/0.82 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 0.61/0.82 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H8b. zenon_intro zenon_Had. % 0.61/0.82 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 0.61/0.82 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha8 ]. % 0.61/0.82 apply (zenon_L221_); trivial. % 0.61/0.82 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.61/0.82 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H6e. zenon_intro zenon_Haa. % 0.61/0.82 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H15 | zenon_intro zenon_H86 ]. % 0.61/0.82 apply (zenon_L39_); trivial. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_Ha. zenon_intro zenon_H87. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H1b. zenon_intro zenon_H88. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H1c. zenon_intro zenon_H1a. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H122 | zenon_intro zenon_H136 ]. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H96 ]. % 0.61/0.82 apply (zenon_L210_); trivial. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_Ha. zenon_intro zenon_H97. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_Hd. zenon_intro zenon_H98. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b9 ]. % 0.61/0.82 apply (zenon_L151_); trivial. % 0.61/0.82 apply (zenon_L223_); trivial. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Ha. zenon_intro zenon_H137. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H12f. zenon_intro zenon_H138. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b9 ]. % 0.61/0.82 apply (zenon_L151_); trivial. % 0.61/0.82 apply (zenon_L224_); trivial. % 0.61/0.82 (* end of lemma zenon_L225_ *) % 0.61/0.82 assert (zenon_L226_ : ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(c3_1 X79)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> (~(c3_1 (a141))) -> (~(c2_1 (a141))) -> (~(c1_1 (a141))) -> (c1_1 (a124)) -> (c2_1 (a124)) -> (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5)))))) -> (~(c3_1 (a124))) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.61/0.82 do 0 intro. intros zenon_H216 zenon_H20f zenon_H20e zenon_H20d zenon_H226 zenon_H230 zenon_Hb2 zenon_H225 zenon_Ha zenon_H1. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H20c | zenon_intro zenon_H217 ]. % 0.61/0.82 apply (zenon_L190_); trivial. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fe | zenon_intro zenon_H2 ]. % 0.61/0.82 apply (zenon_L217_); trivial. % 0.61/0.82 exact (zenon_H1 zenon_H2). % 0.61/0.82 (* end of lemma zenon_L226_ *) % 0.61/0.82 assert (zenon_L227_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp27))) -> (~(c2_1 (a131))) -> (~(c1_1 (a131))) -> (~(c0_1 (a131))) -> (~(hskp12)) -> (ndr1_0) -> (~(c3_1 (a124))) -> (c2_1 (a124)) -> (c1_1 (a124)) -> (~(c1_1 (a141))) -> (~(c2_1 (a141))) -> (~(c3_1 (a141))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(c3_1 X79)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> (~(hskp27)) -> False). % 0.61/0.82 do 0 intro. intros zenon_H1cb zenon_He3 zenon_He2 zenon_He1 zenon_H1 zenon_Ha zenon_H225 zenon_H230 zenon_H226 zenon_H20d zenon_H20e zenon_H20f zenon_H216 zenon_H1c9. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_He0 | zenon_intro zenon_H1cc ]. % 0.61/0.82 apply (zenon_L70_); trivial. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H1ca ]. % 0.61/0.82 apply (zenon_L226_); trivial. % 0.61/0.82 exact (zenon_H1c9 zenon_H1ca). % 0.61/0.82 (* end of lemma zenon_L227_ *) % 0.61/0.82 assert (zenon_L228_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122)))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> (ndr1_0) -> (~(c0_1 (a131))) -> (~(c1_1 (a131))) -> (~(c2_1 (a131))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(c3_1 X79)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a124)) -> (c2_1 (a124)) -> (~(c3_1 (a124))) -> (~(c3_1 (a141))) -> (~(c2_1 (a141))) -> (~(c1_1 (a141))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp27))) -> False). % 0.61/0.82 do 0 intro. intros zenon_H1f4 zenon_H1ed zenon_Ha zenon_He1 zenon_He2 zenon_He3 zenon_H216 zenon_H1 zenon_H226 zenon_H230 zenon_H225 zenon_H20f zenon_H20e zenon_H20d zenon_H1cb. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H1f1 ]. % 0.61/0.82 apply (zenon_L227_); trivial. % 0.61/0.82 apply (zenon_L213_); trivial. % 0.61/0.82 (* end of lemma zenon_L228_ *) % 0.61/0.82 assert (zenon_L229_ : ((ndr1_0)/\((~(c1_1 (a141)))/\((~(c2_1 (a141)))/\(~(c3_1 (a141)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153))))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a160))/\((~(c1_1 (a160)))/\(~(c2_1 (a160))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a136))/\((c1_1 (a136))/\(c2_1 (a136)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((~(c1_1 X21))\/(~(c2_1 X21)))))))) -> (c2_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (~(hskp7)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp29)\/(hskp7))) -> (~(hskp0)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp0)\/(hskp18))) -> (~(hskp3)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((hskp3)\/(hskp15))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp27))) -> (~(c3_1 (a124))) -> (c2_1 (a124)) -> (c1_1 (a124)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(c3_1 X79)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> (~(c2_1 (a131))) -> (~(c1_1 (a131))) -> (~(c0_1 (a131))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122)))))) -> False). % 0.61/0.82 do 0 intro. intros zenon_H219 zenon_Hae zenon_H89 zenon_H68 zenon_Hcb zenon_Hc7 zenon_Hb5 zenon_Hb4 zenon_Hb3 zenon_Ha3 zenon_Hcc zenon_H23 zenon_H27 zenon_H4d zenon_H7b zenon_H1cb zenon_H225 zenon_H230 zenon_H226 zenon_H216 zenon_He3 zenon_He2 zenon_He1 zenon_H1ed zenon_H1f4. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Ha. zenon_intro zenon_H21a. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H20d. zenon_intro zenon_H21b. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H20e. zenon_intro zenon_H20f. % 0.61/0.82 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.82 apply (zenon_L228_); trivial. % 0.61/0.82 apply (zenon_L60_); trivial. % 0.61/0.82 (* end of lemma zenon_L229_ *) % 0.61/0.82 assert (zenon_L230_ : ((ndr1_0)/\((c2_1 (a134))/\((~(c0_1 (a134)))/\(~(c3_1 (a134)))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c1_1 (a141)))/\((~(c2_1 (a141)))/\(~(c3_1 (a141))))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(c3_1 X79)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122)))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> (~(c0_1 (a131))) -> (~(c1_1 (a131))) -> (~(c2_1 (a131))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/((hskp12)\/(hskp11))) -> (c1_1 (a124)) -> (c2_1 (a124)) -> (~(c3_1 (a124))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp27))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((hskp3)\/(hskp15))) -> (~(hskp3)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp0)\/(hskp18))) -> (~(hskp0)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp29)\/(hskp7))) -> (~(hskp7)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((~(c1_1 X21))\/(~(c2_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a136))/\((c1_1 (a136))/\(c2_1 (a136)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a160))/\((~(c1_1 (a160)))/\(~(c2_1 (a160))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142))))))) -> False). % 0.61/0.82 do 0 intro. intros zenon_Hce zenon_H218 zenon_H216 zenon_H1f4 zenon_H1ed zenon_He1 zenon_He2 zenon_He3 zenon_H20a zenon_H226 zenon_H230 zenon_H225 zenon_H1cb zenon_H7b zenon_H4d zenon_H27 zenon_H23 zenon_Hcc zenon_Ha3 zenon_Hc7 zenon_Hcb zenon_H68 zenon_H89 zenon_Hae. % 0.61/0.82 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Ha. zenon_intro zenon_Hcf. % 0.61/0.82 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hb5. zenon_intro zenon_Hd0. % 0.61/0.82 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_Hb3. zenon_intro zenon_Hb4. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H208 | zenon_intro zenon_H219 ]. % 0.61/0.82 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.82 apply (zenon_L220_); trivial. % 0.61/0.82 apply (zenon_L60_); trivial. % 0.61/0.82 apply (zenon_L229_); trivial. % 0.61/0.82 (* end of lemma zenon_L230_ *) % 0.61/0.82 assert (zenon_L231_ : ((~(hskp8))\/((ndr1_0)/\((c2_1 (a134))/\((~(c0_1 (a134)))/\(~(c3_1 (a134))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp0)\/(hskp18))) -> (~(hskp0)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((hskp29)\/(hskp7))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((~(c1_1 X21))\/(~(c2_1 X21)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a136))/\((c1_1 (a136))/\(c2_1 (a136)))))) -> ((~(hskp18))\/((ndr1_0)/\((c3_1 (a160))/\((~(c1_1 (a160)))/\(~(c2_1 (a160))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a143))/\((c3_1 (a143))/\(~(c1_1 (a143))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a179))/\((~(c1_1 (a179)))/\(~(c3_1 (a179))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a167))/\((c1_1 (a167))/\(c3_1 (a167)))))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/((hskp30)\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp8)\/(hskp23))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp22)\/(hskp7))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c3_1 (a168))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((hskp3)\/(hskp15))) -> (~(hskp3)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(hskp13))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp22)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/((hskp19)\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp27))) -> (~(c3_1 (a124))) -> (c2_1 (a124)) -> (c1_1 (a124)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/((hskp12)\/(hskp11))) -> (~(c2_1 (a131))) -> (~(c1_1 (a131))) -> (~(c0_1 (a131))) -> (ndr1_0) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122)))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(c3_1 X79)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> ((~(hskp11))\/((ndr1_0)/\((~(c1_1 (a141)))/\((~(c2_1 (a141)))/\(~(c3_1 (a141))))))) -> False). % 0.61/0.82 do 0 intro. intros zenon_H14a zenon_H27 zenon_H23 zenon_Hcc zenon_Hc7 zenon_Hcb zenon_H68 zenon_Hae zenon_Haf zenon_H1a8 zenon_H1a9 zenon_H19a zenon_H18b zenon_Ha3 zenon_H187 zenon_H238 zenon_H1bd zenon_H7b zenon_H4d zenon_H95 zenon_H17f zenon_H17c zenon_H166 zenon_H1c5 zenon_H184 zenon_H143 zenon_H89 zenon_H1cb zenon_H225 zenon_H230 zenon_H226 zenon_H20a zenon_He3 zenon_He2 zenon_He1 zenon_Ha zenon_H1ed zenon_H1f4 zenon_H216 zenon_H218. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H41 | zenon_intro zenon_Hce ]. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H208 | zenon_intro zenon_H219 ]. % 0.61/0.82 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.82 apply (zenon_L220_); trivial. % 0.61/0.82 apply (zenon_L225_); trivial. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Ha. zenon_intro zenon_H21a. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H20d. zenon_intro zenon_H21b. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H20e. zenon_intro zenon_H20f. % 0.61/0.82 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.82 apply (zenon_L228_); trivial. % 0.61/0.82 apply (zenon_L225_); trivial. % 0.61/0.82 apply (zenon_L230_); trivial. % 0.61/0.82 (* end of lemma zenon_L231_ *) % 0.61/0.82 assert (zenon_L232_ : ((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))))) -> (c3_1 (a132)) -> (~(c2_1 (a132))) -> (~(c0_1 (a132))) -> (~(c0_1 (a153))) -> (c2_1 (a153)) -> (c3_1 (a153)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (~(c2_1 (a131))) -> (~(c1_1 (a131))) -> (~(c0_1 (a131))) -> (~(c3_1 (a124))) -> (c1_1 (a124)) -> (c2_1 (a124)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp22)) -> False). % 0.61/0.82 do 0 intro. intros zenon_H96 zenon_H184 zenon_H1c7 zenon_H118 zenon_H116 zenon_H127 zenon_H1a zenon_H1b zenon_H1c zenon_H17c zenon_He3 zenon_He2 zenon_He1 zenon_H225 zenon_H226 zenon_H230 zenon_H166. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_Ha. zenon_intro zenon_H97. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_Hd. zenon_intro zenon_H98. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H164 | zenon_intro zenon_H17e ]. % 0.61/0.82 apply (zenon_L209_); trivial. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_Ha. zenon_intro zenon_H180. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H172. zenon_intro zenon_H181. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_He0 | zenon_intro zenon_H1c8 ]. % 0.61/0.82 apply (zenon_L70_); trivial. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H126 ]. % 0.61/0.82 apply (zenon_L132_); trivial. % 0.61/0.82 apply (zenon_L91_); trivial. % 0.61/0.82 (* end of lemma zenon_L232_ *) % 0.61/0.82 assert (zenon_L233_ : ((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/((hskp19)\/(hskp17))) -> (~(c3_1 (a124))) -> (c1_1 (a124)) -> (c2_1 (a124)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp22)) -> (~(c0_1 (a131))) -> (~(c1_1 (a131))) -> (~(c2_1 (a131))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (~(c0_1 (a132))) -> (~(c2_1 (a132))) -> (c3_1 (a132)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> (~(hskp3)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((hskp3)\/(hskp15))) -> False). % 0.61/0.82 do 0 intro. intros zenon_Hab zenon_H89 zenon_H143 zenon_H184 zenon_H1c5 zenon_H225 zenon_H226 zenon_H230 zenon_H166 zenon_He1 zenon_He2 zenon_He3 zenon_H17c zenon_H127 zenon_H116 zenon_H118 zenon_H1c7 zenon_H95 zenon_H4d zenon_H7b. % 0.61/0.82 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 0.61/0.82 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H8b. zenon_intro zenon_Had. % 0.61/0.82 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H15 | zenon_intro zenon_H86 ]. % 0.61/0.82 apply (zenon_L39_); trivial. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_Ha. zenon_intro zenon_H87. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H1b. zenon_intro zenon_H88. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H1c. zenon_intro zenon_H1a. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H122 | zenon_intro zenon_H136 ]. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H96 ]. % 0.61/0.82 apply (zenon_L210_); trivial. % 0.61/0.82 apply (zenon_L232_); trivial. % 0.61/0.82 apply (zenon_L163_); trivial. % 0.61/0.82 (* end of lemma zenon_L233_ *) % 0.61/0.82 assert (zenon_L234_ : ((ndr1_0)/\((~(c1_1 (a141)))/\((~(c2_1 (a141)))/\(~(c3_1 (a141)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/((hskp19)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp22)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (~(c0_1 (a132))) -> (~(c2_1 (a132))) -> (c3_1 (a132)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> (~(hskp3)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((hskp3)\/(hskp15))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp27))) -> (~(c3_1 (a124))) -> (c2_1 (a124)) -> (c1_1 (a124)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(c3_1 X79)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> (~(c2_1 (a131))) -> (~(c1_1 (a131))) -> (~(c0_1 (a131))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122)))))) -> False). % 0.61/0.82 do 0 intro. intros zenon_H219 zenon_Hae zenon_H89 zenon_H143 zenon_H184 zenon_H1c5 zenon_H166 zenon_H17c zenon_H127 zenon_H116 zenon_H118 zenon_H1c7 zenon_H95 zenon_H4d zenon_H7b zenon_H1cb zenon_H225 zenon_H230 zenon_H226 zenon_H216 zenon_He3 zenon_He2 zenon_He1 zenon_H1ed zenon_H1f4. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Ha. zenon_intro zenon_H21a. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H20d. zenon_intro zenon_H21b. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H20e. zenon_intro zenon_H20f. % 0.61/0.82 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.82 apply (zenon_L228_); trivial. % 0.61/0.82 apply (zenon_L233_); trivial. % 0.61/0.82 (* end of lemma zenon_L234_ *) % 0.61/0.82 assert (zenon_L235_ : ((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c2_1 (a132)))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c1_1 (a141)))/\((~(c2_1 (a141)))/\(~(c3_1 (a141))))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(c3_1 X79)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122)))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> (~(c0_1 (a131))) -> (~(c1_1 (a131))) -> (~(c2_1 (a131))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/((hskp12)\/(hskp11))) -> (c1_1 (a124)) -> (c2_1 (a124)) -> (~(c3_1 (a124))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp27))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((hskp3)\/(hskp15))) -> (~(hskp3)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp22)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/((hskp19)\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142))))))) -> False). % 0.61/0.82 do 0 intro. intros zenon_H149 zenon_H218 zenon_H216 zenon_H1f4 zenon_H1ed zenon_He1 zenon_He2 zenon_He3 zenon_H20a zenon_H226 zenon_H230 zenon_H225 zenon_H1cb zenon_H7b zenon_H4d zenon_H95 zenon_H1c7 zenon_H17c zenon_H166 zenon_H1c5 zenon_H184 zenon_H143 zenon_H89 zenon_Hae. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_Ha. zenon_intro zenon_H14c. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H118. zenon_intro zenon_H14d. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H127. zenon_intro zenon_H116. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H208 | zenon_intro zenon_H219 ]. % 0.61/0.82 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.82 apply (zenon_L220_); trivial. % 0.61/0.82 apply (zenon_L233_); trivial. % 0.61/0.82 apply (zenon_L234_); trivial. % 0.61/0.82 (* end of lemma zenon_L235_ *) % 0.61/0.82 assert (zenon_L236_ : (forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74)))))) -> (ndr1_0) -> (~(c0_1 (a189))) -> (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26)))))) -> (~(c1_1 (a189))) -> (c3_1 (a189)) -> False). % 0.61/0.82 do 0 intro. intros zenon_H19 zenon_Ha zenon_H54 zenon_H7d zenon_H55 zenon_H56. % 0.61/0.82 generalize (zenon_H19 (a189)). zenon_intro zenon_H23a. % 0.61/0.82 apply (zenon_imply_s _ _ zenon_H23a); [ zenon_intro zenon_H9 | zenon_intro zenon_H23b ]. % 0.61/0.82 exact (zenon_H9 zenon_Ha). % 0.61/0.82 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H5a | zenon_intro zenon_H23c ]. % 0.61/0.82 exact (zenon_H54 zenon_H5a). % 0.61/0.82 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H23d | zenon_intro zenon_H5b ]. % 0.61/0.82 generalize (zenon_H7d (a189)). zenon_intro zenon_H23e. % 0.61/0.82 apply (zenon_imply_s _ _ zenon_H23e); [ zenon_intro zenon_H9 | zenon_intro zenon_H23f ]. % 0.61/0.82 exact (zenon_H9 zenon_Ha). % 0.61/0.82 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H5c | zenon_intro zenon_H240 ]. % 0.61/0.82 exact (zenon_H55 zenon_H5c). % 0.61/0.82 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H241 | zenon_intro zenon_H5b ]. % 0.61/0.82 exact (zenon_H23d zenon_H241). % 0.61/0.82 exact (zenon_H5b zenon_H56). % 0.61/0.82 exact (zenon_H5b zenon_H56). % 0.61/0.82 (* end of lemma zenon_L236_ *) % 0.61/0.82 assert (zenon_L237_ : ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (c3_1 (a189)) -> (~(c1_1 (a189))) -> (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26)))))) -> (~(c0_1 (a189))) -> (c0_1 (a176)) -> (~(c2_1 (a176))) -> (~(c1_1 (a176))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y)))))) -> (~(c2_1 (a164))) -> (c1_1 (a164)) -> (c3_1 (a164)) -> False). % 0.61/0.82 do 0 intro. intros zenon_H17c zenon_H56 zenon_H55 zenon_H7d zenon_H54 zenon_H172 zenon_H171 zenon_H170 zenon_Ha zenon_Hd1 zenon_Hc zenon_Hd zenon_He. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H19 | zenon_intro zenon_H17d ]. % 0.61/0.82 apply (zenon_L236_); trivial. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H16f | zenon_intro zenon_H179 ]. % 0.61/0.82 apply (zenon_L130_); trivial. % 0.61/0.82 apply (zenon_L131_); trivial. % 0.61/0.82 (* end of lemma zenon_L237_ *) % 0.61/0.82 assert (zenon_L238_ : ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40)))))))) -> (~(c1_1 (a176))) -> (~(c2_1 (a176))) -> (c0_1 (a176)) -> (~(c0_1 (a189))) -> (~(c1_1 (a189))) -> (c3_1 (a189)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (c1_1 (a127)) -> (~(c3_1 (a127))) -> (~(c2_1 (a127))) -> (ndr1_0) -> (~(c2_1 (a164))) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y)))))) -> (c1_1 (a164)) -> (c3_1 (a164)) -> False). % 0.61/0.82 do 0 intro. intros zenon_Hfc zenon_H170 zenon_H171 zenon_H172 zenon_H54 zenon_H55 zenon_H56 zenon_H17c zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_Ha zenon_Hc zenon_Hd1 zenon_Hd zenon_He. % 0.61/0.82 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H7d | zenon_intro zenon_Hfd ]. % 0.61/0.82 apply (zenon_L237_); trivial. % 0.61/0.82 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H29 ]. % 0.61/0.82 apply (zenon_L74_); trivial. % 0.61/0.82 apply (zenon_L63_); trivial. % 0.61/0.82 (* end of lemma zenon_L238_ *) % 0.61/0.82 assert (zenon_L239_ : ((ndr1_0)/\((c3_1 (a189))/\((~(c0_1 (a189)))/\(~(c1_1 (a189)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))))) -> (c3_1 (a164)) -> (c1_1 (a164)) -> (~(c2_1 (a164))) -> (~(c2_1 (a127))) -> (~(c3_1 (a127))) -> (c1_1 (a127)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (c0_1 (a176)) -> (~(c2_1 (a176))) -> (~(c1_1 (a176))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40)))))))) -> (~(c3_1 (a124))) -> (c1_1 (a124)) -> (c2_1 (a124)) -> False). % 0.61/0.82 do 0 intro. intros zenon_H63 zenon_H238 zenon_He zenon_Hd zenon_Hc zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H17c zenon_H172 zenon_H171 zenon_H170 zenon_Hfc zenon_H225 zenon_H226 zenon_H230. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_Ha. zenon_intro zenon_H65. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H56. zenon_intro zenon_H66. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H66). zenon_intro zenon_H54. zenon_intro zenon_H55. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H2b | zenon_intro zenon_H239 ]. % 0.61/0.82 apply (zenon_L22_); trivial. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H15b ]. % 0.61/0.82 apply (zenon_L238_); trivial. % 0.61/0.82 apply (zenon_L206_); trivial. % 0.61/0.82 (* end of lemma zenon_L239_ *) % 0.61/0.82 assert (zenon_L240_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/((hskp19)\/(hskp17))) -> (ndr1_0) -> (~(c3_1 (a124))) -> (c1_1 (a124)) -> (c2_1 (a124)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp22)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(hskp13))) -> (~(hskp13)) -> (~(hskp6)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a127)) -> (~(c3_1 (a127))) -> (~(c2_1 (a127))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c3_1 (a189))/\((~(c0_1 (a189)))/\(~(c1_1 (a189))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> False). % 0.61/0.82 do 0 intro. intros zenon_H143 zenon_H184 zenon_H1c5 zenon_Ha zenon_H225 zenon_H226 zenon_H230 zenon_H166 zenon_H17f zenon_H5 zenon_H3b zenon_H3d zenon_Hfc zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H17c zenon_H238 zenon_H67 zenon_H95. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H122 | zenon_intro zenon_H136 ]. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H96 ]. % 0.61/0.82 apply (zenon_L210_); trivial. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_Ha. zenon_intro zenon_H97. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_Hd. zenon_intro zenon_H98. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H164 | zenon_intro zenon_H17e ]. % 0.61/0.82 apply (zenon_L209_); trivial. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_Ha. zenon_intro zenon_H180. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H172. zenon_intro zenon_H181. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H39 | zenon_intro zenon_H63 ]. % 0.61/0.82 apply (zenon_L197_); trivial. % 0.61/0.82 apply (zenon_L239_); trivial. % 0.61/0.82 apply (zenon_L211_); trivial. % 0.61/0.82 (* end of lemma zenon_L240_ *) % 0.61/0.82 assert (zenon_L241_ : ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (c3_1 (a143)) -> (c2_1 (a143)) -> (forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))) -> (c0_1 (a176)) -> (~(c2_1 (a176))) -> (~(c1_1 (a176))) -> (ndr1_0) -> (c0_1 (a167)) -> (c1_1 (a167)) -> (c3_1 (a167)) -> False). % 0.61/0.82 do 0 intro. intros zenon_H17c zenon_H6f zenon_H6e zenon_H13e zenon_H172 zenon_H171 zenon_H170 zenon_Ha zenon_H19c zenon_H19d zenon_H19e. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H19 | zenon_intro zenon_H17d ]. % 0.61/0.82 apply (zenon_L99_); trivial. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H16f | zenon_intro zenon_H179 ]. % 0.61/0.82 apply (zenon_L130_); trivial. % 0.61/0.82 apply (zenon_L142_); trivial. % 0.61/0.82 (* end of lemma zenon_L241_ *) % 0.61/0.82 assert (zenon_L242_ : ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> (forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))) -> (c2_1 (a124)) -> (c1_1 (a124)) -> (~(c3_1 (a124))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (c3_1 (a143)) -> (c2_1 (a143)) -> (c0_1 (a176)) -> (~(c2_1 (a176))) -> (~(c1_1 (a176))) -> (ndr1_0) -> (c0_1 (a167)) -> (c1_1 (a167)) -> (c3_1 (a167)) -> False). % 0.61/0.82 do 0 intro. intros zenon_H1ed zenon_H1fe zenon_H230 zenon_H226 zenon_H225 zenon_H17c zenon_H6f zenon_H6e zenon_H172 zenon_H171 zenon_H170 zenon_Ha zenon_H19c zenon_H19d zenon_H19e. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1ee ]. % 0.61/0.82 apply (zenon_L205_); trivial. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H15b | zenon_intro zenon_H13e ]. % 0.61/0.82 apply (zenon_L206_); trivial. % 0.61/0.82 apply (zenon_L241_); trivial. % 0.61/0.82 (* end of lemma zenon_L242_ *) % 0.61/0.82 assert (zenon_L243_ : ((ndr1_0)/\((c0_1 (a167))/\((c1_1 (a167))/\(c3_1 (a167))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp28))) -> (~(hskp6)) -> (~(hskp25)) -> (~(c2_1 (a164))) -> (c1_1 (a164)) -> (c3_1 (a164)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6))) -> (~(c1_1 (a176))) -> (~(c2_1 (a176))) -> (c0_1 (a176)) -> (c2_1 (a143)) -> (c3_1 (a143)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (~(c3_1 (a124))) -> (c1_1 (a124)) -> (c2_1 (a124)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> (~(hskp28)) -> False). % 0.61/0.82 do 0 intro. intros zenon_H1a5 zenon_H242 zenon_H3b zenon_H39 zenon_Hc zenon_Hd zenon_He zenon_H3d zenon_H170 zenon_H171 zenon_H172 zenon_H6e zenon_H6f zenon_H17c zenon_H225 zenon_H226 zenon_H230 zenon_H1ed zenon_H3f. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_Ha. zenon_intro zenon_H1a6. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H19c. zenon_intro zenon_H1a7. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19d. zenon_intro zenon_H19e. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H243 ]. % 0.61/0.82 apply (zenon_L195_); trivial. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1fe | zenon_intro zenon_H40 ]. % 0.61/0.82 apply (zenon_L242_); trivial. % 0.61/0.82 exact (zenon_H3f zenon_H40). % 0.61/0.82 (* end of lemma zenon_L243_ *) % 0.61/0.82 assert (zenon_L244_ : ((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a127)) -> (~(c3_1 (a127))) -> (~(c2_1 (a127))) -> (c2_1 (a124)) -> (c1_1 (a124)) -> (~(c3_1 (a124))) -> False). % 0.61/0.82 do 0 intro. intros zenon_H4f zenon_H244 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H230 zenon_H226 zenon_H225. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_Ha. zenon_intro zenon_H51. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H44. zenon_intro zenon_H52. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H45. zenon_intro zenon_H46. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H245 ]. % 0.61/0.82 apply (zenon_L74_); trivial. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H15b | zenon_intro zenon_H43 ]. % 0.61/0.82 apply (zenon_L206_); trivial. % 0.61/0.82 apply (zenon_L19_); trivial. % 0.61/0.82 (* end of lemma zenon_L244_ *) % 0.61/0.82 assert (zenon_L245_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a127)) -> (~(c3_1 (a127))) -> (~(c2_1 (a127))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c2_1 (a179)) -> (~(c3_1 (a179))) -> (~(c1_1 (a179))) -> (ndr1_0) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6))) -> (~(hskp6)) -> (~(hskp25)) -> (c3_1 (a164)) -> (c1_1 (a164)) -> (~(c2_1 (a164))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> (c2_1 (a143)) -> (c3_1 (a143)) -> (~(c1_1 (a176))) -> (~(c2_1 (a176))) -> (c0_1 (a176)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (c2_1 (a124)) -> (c1_1 (a124)) -> (~(c3_1 (a124))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a167))/\((c1_1 (a167))/\(c3_1 (a167)))))) -> False). % 0.61/0.82 do 0 intro. intros zenon_H64 zenon_H244 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H19a zenon_H198 zenon_H18f zenon_H18e zenon_H18d zenon_Ha zenon_H3d zenon_H3b zenon_H39 zenon_He zenon_Hd zenon_Hc zenon_H1ed zenon_H6e zenon_H6f zenon_H170 zenon_H171 zenon_H172 zenon_H17c zenon_H230 zenon_H226 zenon_H225 zenon_H242 zenon_H1a9. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H3f | zenon_intro zenon_H4f ]. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H196 | zenon_intro zenon_H1a5 ]. % 0.61/0.82 apply (zenon_L141_); trivial. % 0.61/0.82 apply (zenon_L243_); trivial. % 0.61/0.82 apply (zenon_L244_); trivial. % 0.61/0.82 (* end of lemma zenon_L245_ *) % 0.61/0.82 assert (zenon_L246_ : (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y)))))) -> (ndr1_0) -> (forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))) -> (~(c3_1 (a127))) -> (c1_1 (a127)) -> (~(c2_1 (a127))) -> False). % 0.61/0.82 do 0 intro. intros zenon_Hd1 zenon_Ha zenon_H1fe zenon_Hf4 zenon_Hf5 zenon_Hf3. % 0.61/0.82 generalize (zenon_Hd1 (a127)). zenon_intro zenon_H246. % 0.61/0.82 apply (zenon_imply_s _ _ zenon_H246); [ zenon_intro zenon_H9 | zenon_intro zenon_H247 ]. % 0.61/0.82 exact (zenon_H9 zenon_Ha). % 0.61/0.82 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H249 | zenon_intro zenon_H248 ]. % 0.61/0.82 generalize (zenon_H1fe (a127)). zenon_intro zenon_H24a. % 0.61/0.82 apply (zenon_imply_s _ _ zenon_H24a); [ zenon_intro zenon_H9 | zenon_intro zenon_H24b ]. % 0.61/0.82 exact (zenon_H9 zenon_Ha). % 0.61/0.82 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H24c ]. % 0.61/0.82 exact (zenon_Hf4 zenon_Hfb). % 0.61/0.82 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H24d | zenon_intro zenon_Hfa ]. % 0.61/0.82 exact (zenon_H24d zenon_H249). % 0.61/0.82 exact (zenon_Hfa zenon_Hf5). % 0.61/0.82 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hfa ]. % 0.61/0.82 exact (zenon_Hf3 zenon_Hf9). % 0.61/0.82 exact (zenon_Hfa zenon_Hf5). % 0.61/0.82 (* end of lemma zenon_L246_ *) % 0.61/0.82 assert (zenon_L247_ : ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp9))) -> (~(c2_1 (a127))) -> (c1_1 (a127)) -> (~(c3_1 (a127))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y)))))) -> (~(hskp9)) -> False). % 0.61/0.82 do 0 intro. intros zenon_H21e zenon_Hf3 zenon_Hf5 zenon_Hf4 zenon_Ha zenon_Hd1 zenon_H5f. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H21f ]. % 0.61/0.82 apply (zenon_L74_); trivial. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H1fe | zenon_intro zenon_H60 ]. % 0.61/0.82 apply (zenon_L246_); trivial. % 0.61/0.82 exact (zenon_H5f zenon_H60). % 0.61/0.82 (* end of lemma zenon_L247_ *) % 0.61/0.82 assert (zenon_L248_ : ((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c3_1 (a168)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))))) -> (~(c1_1 (a143))) -> (c3_1 (a143)) -> (c2_1 (a143)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> (~(hskp9)) -> (~(c3_1 (a127))) -> (c1_1 (a127)) -> (~(c2_1 (a127))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp9))) -> (~(c3_1 (a124))) -> (c1_1 (a124)) -> (c2_1 (a124)) -> False). % 0.61/0.82 do 0 intro. intros zenon_H1b9 zenon_H238 zenon_H6d zenon_H6f zenon_H6e zenon_H1ed zenon_H5f zenon_Hf4 zenon_Hf5 zenon_Hf3 zenon_H21e zenon_H225 zenon_H226 zenon_H230. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha. zenon_intro zenon_H1ba. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1ae. zenon_intro zenon_H1bb. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1bc. zenon_intro zenon_H1ad. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H2b | zenon_intro zenon_H239 ]. % 0.61/0.82 apply (zenon_L222_); trivial. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H15b ]. % 0.61/0.82 apply (zenon_L247_); trivial. % 0.61/0.82 apply (zenon_L206_); trivial. % 0.61/0.82 (* end of lemma zenon_L248_ *) % 0.61/0.82 assert (zenon_L249_ : ((ndr1_0)/\((c0_1 (a167))/\((c1_1 (a167))/\(c3_1 (a167))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp28))) -> (c1_1 (a155)) -> (~(c2_1 (a155))) -> (~(c0_1 (a155))) -> (~(c1_1 (a176))) -> (~(c2_1 (a176))) -> (c0_1 (a176)) -> (c2_1 (a143)) -> (c3_1 (a143)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (~(c3_1 (a124))) -> (c1_1 (a124)) -> (c2_1 (a124)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> (~(hskp28)) -> False). % 0.61/0.82 do 0 intro. intros zenon_H1a5 zenon_H242 zenon_H12f zenon_H12e zenon_H12d zenon_H170 zenon_H171 zenon_H172 zenon_H6e zenon_H6f zenon_H17c zenon_H225 zenon_H226 zenon_H230 zenon_H1ed zenon_H3f. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_Ha. zenon_intro zenon_H1a6. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H19c. zenon_intro zenon_H1a7. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19d. zenon_intro zenon_H19e. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H243 ]. % 0.61/0.82 apply (zenon_L93_); trivial. % 0.61/0.82 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1fe | zenon_intro zenon_H40 ]. % 0.61/0.82 apply (zenon_L242_); trivial. % 0.61/0.82 exact (zenon_H3f zenon_H40). % 0.61/0.82 (* end of lemma zenon_L249_ *) % 0.61/0.82 assert (zenon_L250_ : ((ndr1_0)/\((c2_1 (a179))/\((~(c1_1 (a179)))/\(~(c3_1 (a179)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a127)) -> (~(c3_1 (a127))) -> (~(c2_1 (a127))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (~(c0_1 (a155))) -> (~(c2_1 (a155))) -> (c1_1 (a155)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> (c2_1 (a143)) -> (c3_1 (a143)) -> (~(c1_1 (a176))) -> (~(c2_1 (a176))) -> (c0_1 (a176)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (c2_1 (a124)) -> (c1_1 (a124)) -> (~(c3_1 (a124))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a167))/\((c1_1 (a167))/\(c3_1 (a167)))))) -> False). % 0.61/0.82 do 0 intro. intros zenon_H1aa zenon_H64 zenon_H244 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H19a zenon_H198 zenon_H12d zenon_H12e zenon_H12f zenon_H1ed zenon_H6e zenon_H6f zenon_H170 zenon_H171 zenon_H172 zenon_H17c zenon_H230 zenon_H226 zenon_H225 zenon_H242 zenon_H1a9. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha. zenon_intro zenon_H1ab. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H18f. zenon_intro zenon_H1ac. % 0.61/0.82 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H3f | zenon_intro zenon_H4f ]. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H196 | zenon_intro zenon_H1a5 ]. % 0.61/0.83 apply (zenon_L141_); trivial. % 0.61/0.83 apply (zenon_L249_); trivial. % 0.61/0.83 apply (zenon_L244_); trivial. % 0.61/0.83 (* end of lemma zenon_L250_ *) % 0.61/0.83 assert (zenon_L251_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a179))/\((~(c1_1 (a179)))/\(~(c3_1 (a179))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c1_1 (a127)) -> (~(c3_1 (a127))) -> (~(c2_1 (a127))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (~(c0_1 (a155))) -> (~(c2_1 (a155))) -> (c1_1 (a155)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (c2_1 (a124)) -> (c1_1 (a124)) -> (~(c3_1 (a124))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a167))/\((c1_1 (a167))/\(c3_1 (a167)))))) -> (~(hskp8)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp8)\/(hskp23))) -> (ndr1_0) -> (~(c1_1 (a143))) -> (c2_1 (a143)) -> (c3_1 (a143)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp22)\/(hskp7))) -> False). % 0.61/0.83 do 0 intro. intros zenon_H184 zenon_H1a8 zenon_H64 zenon_H244 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H19a zenon_H198 zenon_H12d zenon_H12e zenon_H12f zenon_H1ed zenon_H17c zenon_H230 zenon_H226 zenon_H225 zenon_H242 zenon_H1a9 zenon_H41 zenon_H18b zenon_Ha zenon_H6d zenon_H6e zenon_H6f zenon_Ha3 zenon_H187. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H164 | zenon_intro zenon_H17e ]. % 0.61/0.83 apply (zenon_L135_); trivial. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_Ha. zenon_intro zenon_H180. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H172. zenon_intro zenon_H181. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H189 | zenon_intro zenon_H1aa ]. % 0.61/0.83 apply (zenon_L137_); trivial. % 0.61/0.83 apply (zenon_L250_); trivial. % 0.61/0.83 (* end of lemma zenon_L251_ *) % 0.61/0.83 assert (zenon_L252_ : ((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c3_1 (a168))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp22)\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a143)) -> (c2_1 (a143)) -> (~(c1_1 (a143))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a167))/\((c1_1 (a167))/\(c3_1 (a167)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp28))) -> (~(c3_1 (a124))) -> (c1_1 (a124)) -> (c2_1 (a124)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/((hskp30)\/(hskp20))) -> (~(c2_1 (a127))) -> (~(c3_1 (a127))) -> (c1_1 (a127)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a179))/\((~(c1_1 (a179)))/\(~(c3_1 (a179))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> False). % 0.61/0.83 do 0 intro. intros zenon_H136 zenon_H1bd zenon_H238 zenon_H187 zenon_Ha3 zenon_H6f zenon_H6e zenon_H6d zenon_H18b zenon_H41 zenon_H1a9 zenon_H242 zenon_H225 zenon_H226 zenon_H230 zenon_H17c zenon_H1ed zenon_H19a zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H244 zenon_H64 zenon_H1a8 zenon_H184. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Ha. zenon_intro zenon_H137. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H12f. zenon_intro zenon_H138. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b9 ]. % 0.61/0.83 apply (zenon_L251_); trivial. % 0.61/0.83 apply (zenon_L224_); trivial. % 0.61/0.83 (* end of lemma zenon_L252_ *) % 0.61/0.83 assert (zenon_L253_ : ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (~(hskp7)) -> (~(c2_1 (a138))) -> (c0_1 (a138)) -> (c1_1 (a138)) -> (~(c1_1 (a143))) -> (c2_1 (a143)) -> (c3_1 (a143)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (c0_1 (a176)) -> (~(c2_1 (a176))) -> (~(c1_1 (a176))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y)))))) -> (~(c2_1 (a164))) -> (c1_1 (a164)) -> (c3_1 (a164)) -> False). % 0.61/0.83 do 0 intro. intros zenon_H17c zenon_Ha3 zenon_H9a zenon_H9b zenon_H9c zenon_H6d zenon_H6e zenon_H6f zenon_Ha7 zenon_H172 zenon_H171 zenon_H170 zenon_Ha zenon_Hd1 zenon_Hc zenon_Hd zenon_He. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H19 | zenon_intro zenon_H17d ]. % 0.61/0.83 apply (zenon_L49_); trivial. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H16f | zenon_intro zenon_H179 ]. % 0.61/0.83 apply (zenon_L130_); trivial. % 0.61/0.83 apply (zenon_L131_); trivial. % 0.61/0.83 (* end of lemma zenon_L253_ *) % 0.61/0.83 assert (zenon_L254_ : ((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c3_1 (a168)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a138)) -> (c0_1 (a138)) -> (~(c2_1 (a138))) -> (~(c2_1 (a164))) -> (c1_1 (a164)) -> (c3_1 (a164)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (c2_1 (a143)) -> (c3_1 (a143)) -> (~(c1_1 (a143))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> (~(c3_1 (a124))) -> (c1_1 (a124)) -> (c2_1 (a124)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp22)) -> False). % 0.61/0.83 do 0 intro. intros zenon_H1b9 zenon_H184 zenon_H238 zenon_Ha7 zenon_Ha3 zenon_H9c zenon_H9b zenon_H9a zenon_Hc zenon_Hd zenon_He zenon_H17c zenon_H6e zenon_H6f zenon_H6d zenon_H1ed zenon_H225 zenon_H226 zenon_H230 zenon_H166. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha. zenon_intro zenon_H1ba. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1ae. zenon_intro zenon_H1bb. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1bc. zenon_intro zenon_H1ad. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H164 | zenon_intro zenon_H17e ]. % 0.61/0.83 apply (zenon_L209_); trivial. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_Ha. zenon_intro zenon_H180. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H172. zenon_intro zenon_H181. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H2b | zenon_intro zenon_H239 ]. % 0.61/0.83 apply (zenon_L222_); trivial. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H15b ]. % 0.61/0.83 apply (zenon_L253_); trivial. % 0.61/0.83 apply (zenon_L206_); trivial. % 0.61/0.83 (* end of lemma zenon_L254_ *) % 0.61/0.83 assert (zenon_L255_ : ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/((hskp30)\/(hskp20))) -> (c2_1 (a134)) -> (~(c3_1 (a134))) -> (forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp20)) -> False). % 0.61/0.83 do 0 intro. intros zenon_H19a zenon_Hb5 zenon_Hb4 zenon_H15b zenon_Ha zenon_H196 zenon_H198. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H161 | zenon_intro zenon_H19b ]. % 0.61/0.83 apply (zenon_L124_); trivial. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H197 | zenon_intro zenon_H199 ]. % 0.61/0.83 exact (zenon_H196 zenon_H197). % 0.61/0.83 exact (zenon_H198 zenon_H199). % 0.61/0.83 (* end of lemma zenon_L255_ *) % 0.61/0.83 assert (zenon_L256_ : ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> (c1_1 (a124)) -> (~(c3_1 (a124))) -> (forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))) -> (~(hskp20)) -> (~(hskp30)) -> (~(c3_1 (a134))) -> (c2_1 (a134)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/((hskp30)\/(hskp20))) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22)))))) -> (ndr1_0) -> (c2_1 (a143)) -> (c3_1 (a143)) -> (~(c1_1 (a143))) -> False). % 0.61/0.83 do 0 intro. intros zenon_H1ed zenon_H226 zenon_H225 zenon_H1fe zenon_H198 zenon_H196 zenon_Hb4 zenon_Hb5 zenon_H19a zenon_H2b zenon_Ha zenon_H6e zenon_H6f zenon_H6d. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1ee ]. % 0.61/0.83 apply (zenon_L205_); trivial. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H15b | zenon_intro zenon_H13e ]. % 0.61/0.83 apply (zenon_L255_); trivial. % 0.61/0.83 apply (zenon_L103_); trivial. % 0.61/0.83 (* end of lemma zenon_L256_ *) % 0.61/0.83 assert (zenon_L257_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))))) -> (~(c2_1 (a127))) -> (~(c3_1 (a127))) -> (c1_1 (a127)) -> (~(hskp9)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp9))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6))) -> (~(hskp6)) -> (~(hskp25)) -> (c3_1 (a164)) -> (c1_1 (a164)) -> (~(c2_1 (a164))) -> (ndr1_0) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> (~(c1_1 (a143))) -> (c3_1 (a143)) -> (c2_1 (a143)) -> (~(c3_1 (a134))) -> (c2_1 (a134)) -> (~(hskp20)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/((hskp30)\/(hskp20))) -> (c1_1 (a124)) -> (~(c3_1 (a124))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp28))) -> (~(c1_1 (a176))) -> (~(c2_1 (a176))) -> (c0_1 (a176)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (c2_1 (a124)) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a167))/\((c1_1 (a167))/\(c3_1 (a167)))))) -> False). % 0.61/0.83 do 0 intro. intros zenon_H64 zenon_H244 zenon_H238 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H5f zenon_H21e zenon_H3d zenon_H3b zenon_H39 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H1ed zenon_H6d zenon_H6f zenon_H6e zenon_Hb4 zenon_Hb5 zenon_H198 zenon_H19a zenon_H226 zenon_H225 zenon_H242 zenon_H170 zenon_H171 zenon_H172 zenon_H17c zenon_H230 zenon_H1a9. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H3f | zenon_intro zenon_H4f ]. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H196 | zenon_intro zenon_H1a5 ]. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H2b | zenon_intro zenon_H239 ]. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H243 ]. % 0.61/0.83 apply (zenon_L195_); trivial. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1fe | zenon_intro zenon_H40 ]. % 0.61/0.83 apply (zenon_L256_); trivial. % 0.61/0.83 exact (zenon_H3f zenon_H40). % 0.61/0.83 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H15b ]. % 0.61/0.83 apply (zenon_L247_); trivial. % 0.61/0.83 apply (zenon_L255_); trivial. % 0.61/0.83 apply (zenon_L243_); trivial. % 0.61/0.83 apply (zenon_L244_); trivial. % 0.61/0.83 (* end of lemma zenon_L257_ *) % 0.61/0.83 assert (zenon_L258_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((~(hskp25))\/((ndr1_0)/\((c3_1 (a189))/\((~(c0_1 (a189)))/\(~(c1_1 (a189))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a167))/\((c1_1 (a167))/\(c3_1 (a167)))))) -> (c2_1 (a124)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp28))) -> (~(c3_1 (a124))) -> (c1_1 (a124)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (c2_1 (a134)) -> (~(c3_1 (a134))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> (~(c2_1 (a164))) -> (c1_1 (a164)) -> (c3_1 (a164)) -> (~(hskp6)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a127)) -> (~(c3_1 (a127))) -> (~(c2_1 (a127))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> (ndr1_0) -> (~(c1_1 (a143))) -> (c2_1 (a143)) -> (c3_1 (a143)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp22)\/(hskp7))) -> False). % 0.61/0.83 do 0 intro. intros zenon_H184 zenon_H67 zenon_Hfc zenon_H1a9 zenon_H230 zenon_H17c zenon_H242 zenon_H225 zenon_H226 zenon_H19a zenon_H198 zenon_Hb5 zenon_Hb4 zenon_H1ed zenon_Hc zenon_Hd zenon_He zenon_H3b zenon_H3d zenon_H21e zenon_H5f zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H238 zenon_H244 zenon_H64 zenon_Ha zenon_H6d zenon_H6e zenon_H6f zenon_Ha3 zenon_H187. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H164 | zenon_intro zenon_H17e ]. % 0.61/0.83 apply (zenon_L135_); trivial. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_Ha. zenon_intro zenon_H180. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H172. zenon_intro zenon_H181. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H39 | zenon_intro zenon_H63 ]. % 0.61/0.83 apply (zenon_L257_); trivial. % 0.61/0.83 apply (zenon_L239_); trivial. % 0.61/0.83 (* end of lemma zenon_L258_ *) % 0.61/0.83 assert (zenon_L259_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))))) -> (~(hskp28)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> (c1_1 (a124)) -> (~(c3_1 (a124))) -> (c2_1 (a143)) -> (c3_1 (a143)) -> (~(c1_1 (a143))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp28))) -> (c1_1 (a155)) -> (~(c2_1 (a155))) -> (~(c0_1 (a155))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/((hskp30)\/(hskp20))) -> (c2_1 (a134)) -> (~(c3_1 (a134))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp20)) -> False). % 0.61/0.83 do 0 intro. intros zenon_H238 zenon_H3f zenon_H1ed zenon_H226 zenon_H225 zenon_H6e zenon_H6f zenon_H6d zenon_H242 zenon_H12f zenon_H12e zenon_H12d zenon_H19a zenon_Hb5 zenon_Hb4 zenon_Ha zenon_H196 zenon_H198. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H2b | zenon_intro zenon_H239 ]. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H243 ]. % 0.61/0.83 apply (zenon_L93_); trivial. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1fe | zenon_intro zenon_H40 ]. % 0.61/0.83 apply (zenon_L256_); trivial. % 0.61/0.83 exact (zenon_H3f zenon_H40). % 0.61/0.83 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H15b ]. % 0.61/0.83 apply (zenon_L93_); trivial. % 0.61/0.83 apply (zenon_L255_); trivial. % 0.61/0.83 (* end of lemma zenon_L259_ *) % 0.61/0.83 assert (zenon_L260_ : ((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c3_1 (a168))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp22)\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a143)) -> (c2_1 (a143)) -> (~(c1_1 (a143))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a167))/\((c1_1 (a167))/\(c3_1 (a167)))))) -> (c2_1 (a124)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp28))) -> (~(c3_1 (a124))) -> (c1_1 (a124)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/((hskp30)\/(hskp20))) -> (c2_1 (a134)) -> (~(c3_1 (a134))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))))) -> (~(c2_1 (a127))) -> (~(c3_1 (a127))) -> (c1_1 (a127)) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> False). % 0.61/0.83 do 0 intro. intros zenon_H136 zenon_H1bd zenon_H187 zenon_Ha3 zenon_H6f zenon_H6e zenon_H6d zenon_H1a9 zenon_H230 zenon_H17c zenon_H242 zenon_H225 zenon_H226 zenon_H19a zenon_Hb5 zenon_Hb4 zenon_H1ed zenon_H238 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H244 zenon_H64 zenon_H184. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Ha. zenon_intro zenon_H137. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H12f. zenon_intro zenon_H138. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b9 ]. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H164 | zenon_intro zenon_H17e ]. % 0.61/0.83 apply (zenon_L135_); trivial. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_Ha. zenon_intro zenon_H180. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H172. zenon_intro zenon_H181. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H3f | zenon_intro zenon_H4f ]. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H196 | zenon_intro zenon_H1a5 ]. % 0.61/0.83 apply (zenon_L259_); trivial. % 0.61/0.83 apply (zenon_L249_); trivial. % 0.61/0.83 apply (zenon_L244_); trivial. % 0.61/0.83 apply (zenon_L224_); trivial. % 0.61/0.83 (* end of lemma zenon_L260_ *) % 0.61/0.83 assert (zenon_L261_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp28))) -> (c3_1 (a164)) -> (c1_1 (a164)) -> (~(c2_1 (a164))) -> (~(c1_1 (a176))) -> (~(c2_1 (a176))) -> (c0_1 (a176)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (c1_1 (a138)) -> (c0_1 (a138)) -> (~(c2_1 (a138))) -> (~(hskp7)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (~(c1_1 (a143))) -> (c3_1 (a143)) -> (c2_1 (a143)) -> (ndr1_0) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22)))))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/((hskp30)\/(hskp20))) -> (c2_1 (a134)) -> (~(c3_1 (a134))) -> (~(hskp30)) -> (~(hskp20)) -> (~(c3_1 (a124))) -> (c1_1 (a124)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> (~(hskp28)) -> False). % 0.61/0.83 do 0 intro. intros zenon_H242 zenon_He zenon_Hd zenon_Hc zenon_H170 zenon_H171 zenon_H172 zenon_Ha7 zenon_H9c zenon_H9b zenon_H9a zenon_Ha3 zenon_H17c zenon_H6d zenon_H6f zenon_H6e zenon_Ha zenon_H2b zenon_H19a zenon_Hb5 zenon_Hb4 zenon_H196 zenon_H198 zenon_H225 zenon_H226 zenon_H1ed zenon_H3f. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H243 ]. % 0.61/0.83 apply (zenon_L253_); trivial. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1fe | zenon_intro zenon_H40 ]. % 0.61/0.83 apply (zenon_L256_); trivial. % 0.61/0.83 exact (zenon_H3f zenon_H40). % 0.61/0.83 (* end of lemma zenon_L261_ *) % 0.61/0.83 assert (zenon_L262_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))))) -> (~(hskp28)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> (c1_1 (a124)) -> (~(c3_1 (a124))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp28))) -> (c3_1 (a164)) -> (c1_1 (a164)) -> (~(c2_1 (a164))) -> (~(c1_1 (a176))) -> (~(c2_1 (a176))) -> (c0_1 (a176)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (c3_1 (a143)) -> (c2_1 (a143)) -> (~(c1_1 (a143))) -> (c1_1 (a138)) -> (c0_1 (a138)) -> (~(c2_1 (a138))) -> (~(hskp7)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/((hskp30)\/(hskp20))) -> (c2_1 (a134)) -> (~(c3_1 (a134))) -> (ndr1_0) -> (~(hskp30)) -> (~(hskp20)) -> False). % 0.61/0.83 do 0 intro. intros zenon_H238 zenon_H3f zenon_H1ed zenon_H226 zenon_H225 zenon_H242 zenon_He zenon_Hd zenon_Hc zenon_H170 zenon_H171 zenon_H172 zenon_Ha7 zenon_H6f zenon_H6e zenon_H6d zenon_H9c zenon_H9b zenon_H9a zenon_Ha3 zenon_H17c zenon_H19a zenon_Hb5 zenon_Hb4 zenon_Ha zenon_H196 zenon_H198. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H2b | zenon_intro zenon_H239 ]. % 0.61/0.83 apply (zenon_L261_); trivial. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H15b ]. % 0.61/0.83 apply (zenon_L253_); trivial. % 0.61/0.83 apply (zenon_L255_); trivial. % 0.61/0.83 (* end of lemma zenon_L262_ *) % 0.61/0.83 assert (zenon_L263_ : ((ndr1_0)/\((c2_1 (a134))/\((~(c0_1 (a134)))/\(~(c3_1 (a134)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a138))/\((c1_1 (a138))/\(~(c2_1 (a138))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/((hskp19)\/(hskp17))) -> (~(c3_1 (a124))) -> (c1_1 (a124)) -> (c2_1 (a124)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp22)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(hskp13))) -> (~(hskp6)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a127)) -> (~(c3_1 (a127))) -> (~(c2_1 (a127))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c3_1 (a189))/\((~(c0_1 (a189)))/\(~(c1_1 (a189))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c3_1 (a168))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp22)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp9))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/((hskp30)\/(hskp20))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp28))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a167))/\((c1_1 (a167))/\(c3_1 (a167)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a143))/\((c3_1 (a143))/\(~(c1_1 (a143))))))) -> False). % 0.61/0.83 do 0 intro. intros zenon_Hce zenon_H115 zenon_Ha5 zenon_Ha7 zenon_H143 zenon_H184 zenon_H1c5 zenon_H225 zenon_H226 zenon_H230 zenon_H166 zenon_H17f zenon_H3b zenon_H3d zenon_Hfc zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H17c zenon_H238 zenon_H67 zenon_H95 zenon_H1bd zenon_H187 zenon_Ha3 zenon_H64 zenon_H244 zenon_H21e zenon_H1ed zenon_H19a zenon_H242 zenon_H1a9 zenon_Haf. % 0.61/0.83 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Ha. zenon_intro zenon_Hcf. % 0.61/0.83 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hb5. zenon_intro zenon_Hd0. % 0.61/0.83 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_Hb3. zenon_intro zenon_Hb4. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H5f | zenon_intro zenon_H112 ]. % 0.61/0.83 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha8 ]. % 0.61/0.83 apply (zenon_L240_); trivial. % 0.61/0.83 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.61/0.83 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H6e. zenon_intro zenon_Haa. % 0.61/0.83 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H122 | zenon_intro zenon_H136 ]. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H96 ]. % 0.61/0.83 apply (zenon_L210_); trivial. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_Ha. zenon_intro zenon_H97. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_Hd. zenon_intro zenon_H98. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b9 ]. % 0.61/0.83 apply (zenon_L258_); trivial. % 0.61/0.83 apply (zenon_L248_); trivial. % 0.61/0.83 apply (zenon_L260_); trivial. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H9b. zenon_intro zenon_H114. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.61/0.83 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha8 ]. % 0.61/0.83 apply (zenon_L240_); trivial. % 0.61/0.83 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.61/0.83 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H6e. zenon_intro zenon_Haa. % 0.61/0.83 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H122 | zenon_intro zenon_H136 ]. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H96 ]. % 0.61/0.83 apply (zenon_L210_); trivial. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_Ha. zenon_intro zenon_H97. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_Hd. zenon_intro zenon_H98. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b9 ]. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H164 | zenon_intro zenon_H17e ]. % 0.61/0.83 apply (zenon_L135_); trivial. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_Ha. zenon_intro zenon_H180. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H172. zenon_intro zenon_H181. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H39 | zenon_intro zenon_H63 ]. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H3f | zenon_intro zenon_H4f ]. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H196 | zenon_intro zenon_H1a5 ]. % 0.61/0.83 apply (zenon_L262_); trivial. % 0.61/0.83 apply (zenon_L243_); trivial. % 0.61/0.83 apply (zenon_L244_); trivial. % 0.61/0.83 apply (zenon_L47_); trivial. % 0.61/0.83 apply (zenon_L254_); trivial. % 0.61/0.83 apply (zenon_L260_); trivial. % 0.61/0.83 (* end of lemma zenon_L263_ *) % 0.61/0.83 assert (zenon_L264_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c2_1 (a132))) -> (~(c0_1 (a132))) -> (c1_1 (a127)) -> (~(c3_1 (a127))) -> (~(c2_1 (a127))) -> (ndr1_0) -> (~(c3_1 (a124))) -> (c2_1 (a124)) -> (c1_1 (a124)) -> (~(hskp12)) -> (~(hskp11)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/((hskp12)\/(hskp11))) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((hskp28)\/(hskp8))) -> False). % 0.61/0.83 do 0 intro. intros zenon_H64 zenon_H244 zenon_H147 zenon_H118 zenon_H116 zenon_H127 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_Ha zenon_H225 zenon_H230 zenon_H226 zenon_H1 zenon_H208 zenon_H20a zenon_H41 zenon_H5d. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H3f | zenon_intro zenon_H4f ]. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H2b | zenon_intro zenon_H5e ]. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H148 ]. % 0.61/0.83 apply (zenon_L218_); trivial. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hb ]. % 0.61/0.83 apply (zenon_L74_); trivial. % 0.61/0.83 apply (zenon_L95_); trivial. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H40 | zenon_intro zenon_H42 ]. % 0.61/0.83 exact (zenon_H3f zenon_H40). % 0.61/0.83 exact (zenon_H41 zenon_H42). % 0.61/0.83 apply (zenon_L244_); trivial. % 0.61/0.83 (* end of lemma zenon_L264_ *) % 0.61/0.83 assert (zenon_L265_ : ((~(hskp24))\/((ndr1_0)/\((~(c0_1 (a182)))/\((~(c2_1 (a182)))/\(~(c3_1 (a182))))))) -> (c2_1 (a143)) -> (c3_1 (a143)) -> (~(c1_1 (a143))) -> (~(hskp8)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(c3_1 X33)))))\/((forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp8))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/(hskp6))) -> (~(hskp6)) -> (c3_1 (a142)) -> (c0_1 (a142)) -> (~(c1_1 (a142))) -> (c3_1 (a132)) -> (~(c2_1 (a132))) -> (~(c0_1 (a132))) -> (ndr1_0) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp17)\/(hskp24))) -> False). % 0.61/0.83 do 0 intro. intros zenon_H111 zenon_H6e zenon_H6f zenon_H6d zenon_H41 zenon_H141 zenon_H93 zenon_H3b zenon_H8c zenon_H8b zenon_H8a zenon_H118 zenon_H116 zenon_H127 zenon_Ha zenon_H122 zenon_H13c. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfe | zenon_intro zenon_H10c ]. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H13c); [ zenon_intro zenon_Hb | zenon_intro zenon_H13d ]. % 0.61/0.83 apply (zenon_L102_); trivial. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H123 | zenon_intro zenon_Hff ]. % 0.61/0.83 exact (zenon_H122 zenon_H123). % 0.61/0.83 exact (zenon_Hfe zenon_Hff). % 0.61/0.83 apply (zenon_L105_); trivial. % 0.61/0.83 (* end of lemma zenon_L265_ *) % 0.61/0.83 assert (zenon_L266_ : (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26)))))) -> (ndr1_0) -> (~(c1_1 (a142))) -> (forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (c3_1 (a142)) -> False). % 0.61/0.83 do 0 intro. intros zenon_H7d zenon_Ha zenon_H8a zenon_H81 zenon_H8c. % 0.61/0.83 generalize (zenon_H7d (a142)). zenon_intro zenon_H24e. % 0.61/0.83 apply (zenon_imply_s _ _ zenon_H24e); [ zenon_intro zenon_H9 | zenon_intro zenon_H24f ]. % 0.61/0.83 exact (zenon_H9 zenon_Ha). % 0.61/0.83 apply (zenon_or_s _ _ zenon_H24f); [ zenon_intro zenon_H90 | zenon_intro zenon_H250 ]. % 0.61/0.83 exact (zenon_H8a zenon_H90). % 0.61/0.83 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H1be | zenon_intro zenon_H91 ]. % 0.61/0.83 apply (zenon_L153_); trivial. % 0.61/0.83 exact (zenon_H91 zenon_H8c). % 0.61/0.83 (* end of lemma zenon_L266_ *) % 0.61/0.83 assert (zenon_L267_ : ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp8)\/(hskp23))) -> (c3_1 (a142)) -> (~(c1_1 (a142))) -> (ndr1_0) -> (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26)))))) -> (~(hskp8)) -> (~(hskp23)) -> False). % 0.61/0.83 do 0 intro. intros zenon_H18b zenon_H8c zenon_H8a zenon_Ha zenon_H7d zenon_H41 zenon_H189. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H81 | zenon_intro zenon_H18c ]. % 0.61/0.83 apply (zenon_L266_); trivial. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H42 | zenon_intro zenon_H18a ]. % 0.61/0.83 exact (zenon_H41 zenon_H42). % 0.61/0.83 exact (zenon_H189 zenon_H18a). % 0.61/0.83 (* end of lemma zenon_L267_ *) % 0.61/0.83 assert (zenon_L268_ : ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a127)) -> (~(c3_1 (a127))) -> (~(c2_1 (a127))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp8)\/(hskp23))) -> (c0_1 (a142)) -> (c3_1 (a142)) -> (~(c1_1 (a142))) -> (ndr1_0) -> (~(hskp8)) -> (~(hskp23)) -> False). % 0.61/0.83 do 0 intro. intros zenon_Hfc zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H18b zenon_H8b zenon_H8c zenon_H8a zenon_Ha zenon_H41 zenon_H189. % 0.61/0.83 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H7d | zenon_intro zenon_Hfd ]. % 0.61/0.83 apply (zenon_L267_); trivial. % 0.61/0.83 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H29 ]. % 0.61/0.83 apply (zenon_L74_); trivial. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H18b); [ zenon_intro zenon_H81 | zenon_intro zenon_H18c ]. % 0.61/0.83 apply (zenon_L154_); trivial. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H42 | zenon_intro zenon_H18a ]. % 0.61/0.83 exact (zenon_H41 zenon_H42). % 0.61/0.83 exact (zenon_H189 zenon_H18a). % 0.61/0.83 (* end of lemma zenon_L268_ *) % 0.61/0.83 assert (zenon_L269_ : ((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c3_1 (a168))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))))) -> (~(c1_1 (a143))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp22)) -> (c2_1 (a124)) -> (c1_1 (a124)) -> (~(c3_1 (a124))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40)))))))) -> (c0_1 (a142)) -> (c1_1 (a127)) -> (~(c3_1 (a127))) -> (~(c2_1 (a127))) -> (~(c1_1 (a142))) -> (c3_1 (a142)) -> (~(hskp8)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp8)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a167))/\((c1_1 (a167))/\(c3_1 (a167)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp28))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (c3_1 (a143)) -> (c2_1 (a143)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/((hskp30)\/(hskp20))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a179))/\((~(c1_1 (a179)))/\(~(c3_1 (a179))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> False). % 0.61/0.83 do 0 intro. intros zenon_H136 zenon_H1bd zenon_H238 zenon_H6d zenon_H166 zenon_H230 zenon_H226 zenon_H225 zenon_Hfc zenon_H8b zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H8a zenon_H8c zenon_H41 zenon_H18b zenon_H1a9 zenon_H242 zenon_H17c zenon_H6f zenon_H6e zenon_H1ed zenon_H19a zenon_H244 zenon_H64 zenon_H1a8 zenon_H184. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Ha. zenon_intro zenon_H137. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H12f. zenon_intro zenon_H138. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b9 ]. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H164 | zenon_intro zenon_H17e ]. % 0.61/0.83 apply (zenon_L209_); trivial. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_Ha. zenon_intro zenon_H180. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H172. zenon_intro zenon_H181. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H189 | zenon_intro zenon_H1aa ]. % 0.61/0.83 apply (zenon_L268_); trivial. % 0.61/0.83 apply (zenon_L250_); trivial. % 0.61/0.83 apply (zenon_L224_); trivial. % 0.61/0.83 (* end of lemma zenon_L269_ *) % 0.61/0.83 assert (zenon_L270_ : ((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a143))/\((c3_1 (a143))/\(~(c1_1 (a143))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c3_1 (a168))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp8)\/(hskp23))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a167))/\((c1_1 (a167))/\(c3_1 (a167)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp28))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/((hskp30)\/(hskp20))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a179))/\((~(c1_1 (a179)))/\(~(c3_1 (a179))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp17)\/(hskp24))) -> (~(c0_1 (a132))) -> (~(c2_1 (a132))) -> (c3_1 (a132)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/(hskp6))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(c3_1 X33)))))\/((forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp24))\/((ndr1_0)/\((~(c0_1 (a182)))/\((~(c2_1 (a182)))/\(~(c3_1 (a182))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> ((~(hskp25))\/((ndr1_0)/\((c3_1 (a189))/\((~(c0_1 (a189)))/\(~(c1_1 (a189))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (~(c2_1 (a127))) -> (~(c3_1 (a127))) -> (c1_1 (a127)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6))) -> (~(hskp6)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(hskp13))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp22)) -> (c2_1 (a124)) -> (c1_1 (a124)) -> (~(c3_1 (a124))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/((hskp19)\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155))))))) -> False). % 0.61/0.83 do 0 intro. intros zenon_Hab zenon_Haf zenon_H1bd zenon_H18b zenon_H1a9 zenon_H242 zenon_H1ed zenon_H19a zenon_H244 zenon_H64 zenon_H1a8 zenon_H13c zenon_H127 zenon_H116 zenon_H118 zenon_H93 zenon_H141 zenon_H41 zenon_H111 zenon_H95 zenon_H67 zenon_H238 zenon_H17c zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_Hfc zenon_H3d zenon_H3b zenon_H17f zenon_H166 zenon_H230 zenon_H226 zenon_H225 zenon_H1c5 zenon_H184 zenon_H143. % 0.61/0.83 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 0.61/0.83 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H8b. zenon_intro zenon_Had. % 0.61/0.83 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 0.61/0.83 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha8 ]. % 0.61/0.83 apply (zenon_L240_); trivial. % 0.61/0.83 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.61/0.83 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H6e. zenon_intro zenon_Haa. % 0.61/0.83 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H122 | zenon_intro zenon_H136 ]. % 0.61/0.83 apply (zenon_L265_); trivial. % 0.61/0.83 apply (zenon_L269_); trivial. % 0.61/0.83 (* end of lemma zenon_L270_ *) % 0.61/0.83 assert (zenon_L271_ : ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c2_1 (a132))) -> (~(c0_1 (a132))) -> (c1_1 (a127)) -> (~(c3_1 (a127))) -> (~(c2_1 (a127))) -> (ndr1_0) -> (~(c1_1 (a141))) -> (~(c2_1 (a141))) -> (~(c3_1 (a141))) -> (~(c3_1 (a124))) -> (c2_1 (a124)) -> (c1_1 (a124)) -> (~(hskp12)) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(c3_1 X79)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((hskp28)\/(hskp8))) -> False). % 0.61/0.83 do 0 intro. intros zenon_H64 zenon_H244 zenon_H147 zenon_H118 zenon_H116 zenon_H127 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_Ha zenon_H20d zenon_H20e zenon_H20f zenon_H225 zenon_H230 zenon_H226 zenon_H1 zenon_H216 zenon_H41 zenon_H5d. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H3f | zenon_intro zenon_H4f ]. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H2b | zenon_intro zenon_H5e ]. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H148 ]. % 0.61/0.83 apply (zenon_L226_); trivial. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hb ]. % 0.61/0.83 apply (zenon_L74_); trivial. % 0.61/0.83 apply (zenon_L95_); trivial. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H40 | zenon_intro zenon_H42 ]. % 0.61/0.83 exact (zenon_H3f zenon_H40). % 0.61/0.83 exact (zenon_H41 zenon_H42). % 0.61/0.83 apply (zenon_L244_); trivial. % 0.61/0.83 (* end of lemma zenon_L271_ *) % 0.61/0.83 assert (zenon_L272_ : ((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))))) -> (c3_1 (a132)) -> (~(c2_1 (a132))) -> (~(c0_1 (a132))) -> (~(c2_1 (a127))) -> (~(c3_1 (a127))) -> (c1_1 (a127)) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c2_1 (a134)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a124))) -> (c1_1 (a124)) -> (c2_1 (a124)) -> False). % 0.61/0.83 do 0 intro. intros zenon_H136 zenon_H238 zenon_H118 zenon_H116 zenon_H127 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_Hb3 zenon_Hb4 zenon_Hb5 zenon_H147 zenon_H225 zenon_H226 zenon_H230. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Ha. zenon_intro zenon_H137. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H12f. zenon_intro zenon_H138. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H2b | zenon_intro zenon_H239 ]. % 0.61/0.83 apply (zenon_L110_); trivial. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H15b ]. % 0.61/0.83 apply (zenon_L93_); trivial. % 0.61/0.83 apply (zenon_L206_); trivial. % 0.61/0.83 (* end of lemma zenon_L272_ *) % 0.61/0.83 assert (zenon_L273_ : ((ndr1_0)/\((c2_1 (a134))/\((~(c0_1 (a134)))/\(~(c3_1 (a134)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/((hskp19)\/(hskp17))) -> (~(c3_1 (a124))) -> (c1_1 (a124)) -> (c2_1 (a124)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp22)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c2_1 (a132))) -> (~(c0_1 (a132))) -> (c1_1 (a127)) -> (~(c3_1 (a127))) -> (~(c2_1 (a127))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> False). % 0.61/0.83 do 0 intro. intros zenon_Hce zenon_H143 zenon_H184 zenon_H1c5 zenon_H225 zenon_H226 zenon_H230 zenon_H166 zenon_H147 zenon_H118 zenon_H116 zenon_H127 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_Hfc zenon_H238 zenon_H95. % 0.61/0.83 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Ha. zenon_intro zenon_Hcf. % 0.61/0.83 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hb5. zenon_intro zenon_Hd0. % 0.61/0.83 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_Hb3. zenon_intro zenon_Hb4. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H122 | zenon_intro zenon_H136 ]. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H96 ]. % 0.61/0.83 apply (zenon_L210_); trivial. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_Ha. zenon_intro zenon_H97. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_Hd. zenon_intro zenon_H98. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H2b | zenon_intro zenon_H239 ]. % 0.61/0.83 apply (zenon_L110_); trivial. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H15b ]. % 0.61/0.83 apply (zenon_L109_); trivial. % 0.61/0.83 apply (zenon_L206_); trivial. % 0.61/0.83 apply (zenon_L272_); trivial. % 0.61/0.83 (* end of lemma zenon_L273_ *) % 0.61/0.83 assert (zenon_L274_ : (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13)))))) -> (ndr1_0) -> (~(c0_1 (a123))) -> (~(c1_1 (a123))) -> (c2_1 (a123)) -> False). % 0.61/0.83 do 0 intro. intros zenon_H167 zenon_Ha zenon_H251 zenon_H252 zenon_H253. % 0.61/0.83 generalize (zenon_H167 (a123)). zenon_intro zenon_H254. % 0.61/0.83 apply (zenon_imply_s _ _ zenon_H254); [ zenon_intro zenon_H9 | zenon_intro zenon_H255 ]. % 0.61/0.83 exact (zenon_H9 zenon_Ha). % 0.61/0.83 apply (zenon_or_s _ _ zenon_H255); [ zenon_intro zenon_H257 | zenon_intro zenon_H256 ]. % 0.61/0.83 exact (zenon_H251 zenon_H257). % 0.61/0.83 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ]. % 0.61/0.83 exact (zenon_H252 zenon_H259). % 0.61/0.83 exact (zenon_H258 zenon_H253). % 0.61/0.83 (* end of lemma zenon_L274_ *) % 0.61/0.83 assert (zenon_L275_ : ((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(hskp4))) -> (c2_1 (a123)) -> (~(c1_1 (a123))) -> (~(c0_1 (a123))) -> (~(hskp3)) -> (~(hskp1)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp1)\/(hskp3))) -> (~(hskp4)) -> False). % 0.61/0.83 do 0 intro. intros zenon_H96 zenon_H185 zenon_H253 zenon_H252 zenon_H251 zenon_H4d zenon_Hda zenon_Hdc zenon_H16d. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_Ha. zenon_intro zenon_H97. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_Hd. zenon_intro zenon_H98. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H167 | zenon_intro zenon_H186 ]. % 0.61/0.83 apply (zenon_L274_); trivial. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H16e ]. % 0.61/0.83 apply (zenon_L65_); trivial. % 0.61/0.83 exact (zenon_H16d zenon_H16e). % 0.61/0.83 (* end of lemma zenon_L275_ *) % 0.61/0.83 assert (zenon_L276_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp1)) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp1)\/(hskp3))) -> (c2_1 (a123)) -> (~(c1_1 (a123))) -> (~(c0_1 (a123))) -> (~(hskp12)) -> (~(hskp13)) -> ((hskp12)\/((hskp19)\/(hskp13))) -> False). % 0.61/0.83 do 0 intro. intros zenon_H95 zenon_H185 zenon_H16d zenon_Hda zenon_H4d zenon_Hdc zenon_H253 zenon_H252 zenon_H251 zenon_H1 zenon_H5 zenon_H7. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H96 ]. % 0.61/0.83 apply (zenon_L4_); trivial. % 0.61/0.83 apply (zenon_L275_); trivial. % 0.61/0.83 (* end of lemma zenon_L276_ *) % 0.61/0.83 assert (zenon_L277_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/((hskp19)\/(hskp17))) -> (~(hskp17)) -> (~(hskp19)) -> (ndr1_0) -> (~(c1_1 (a143))) -> (c2_1 (a143)) -> (c3_1 (a143)) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp22)\/(hskp7))) -> False). % 0.61/0.83 do 0 intro. intros zenon_H184 zenon_H1c5 zenon_H122 zenon_H3 zenon_Ha zenon_H6d zenon_H6e zenon_H6f zenon_Ha3 zenon_H187. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H164 | zenon_intro zenon_H17e ]. % 0.61/0.83 apply (zenon_L135_); trivial. % 0.61/0.83 apply (zenon_L157_); trivial. % 0.61/0.83 (* end of lemma zenon_L277_ *) % 0.61/0.83 assert (zenon_L278_ : ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp1)) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp1)\/(hskp3))) -> (c2_1 (a123)) -> (~(c1_1 (a123))) -> (~(c0_1 (a123))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp22)\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a143)) -> (c2_1 (a143)) -> (~(c1_1 (a143))) -> (ndr1_0) -> (~(hskp17)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/((hskp19)\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> False). % 0.61/0.83 do 0 intro. intros zenon_H95 zenon_H185 zenon_H16d zenon_Hda zenon_H4d zenon_Hdc zenon_H253 zenon_H252 zenon_H251 zenon_H187 zenon_Ha3 zenon_H6f zenon_H6e zenon_H6d zenon_Ha zenon_H122 zenon_H1c5 zenon_H184. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H96 ]. % 0.61/0.83 apply (zenon_L277_); trivial. % 0.61/0.83 apply (zenon_L275_); trivial. % 0.61/0.83 (* end of lemma zenon_L278_ *) % 0.61/0.83 assert (zenon_L279_ : ((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(hskp4))) -> (c2_1 (a123)) -> (~(c1_1 (a123))) -> (~(c0_1 (a123))) -> (~(hskp4)) -> False). % 0.61/0.83 do 0 intro. intros zenon_H136 zenon_H185 zenon_H253 zenon_H252 zenon_H251 zenon_H16d. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Ha. zenon_intro zenon_H137. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H12f. zenon_intro zenon_H138. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H167 | zenon_intro zenon_H186 ]. % 0.61/0.83 apply (zenon_L274_); trivial. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H16e ]. % 0.61/0.83 apply (zenon_L93_); trivial. % 0.61/0.83 exact (zenon_H16d zenon_H16e). % 0.61/0.83 (* end of lemma zenon_L279_ *) % 0.61/0.83 assert (zenon_L280_ : ((ndr1_0)/\((c2_1 (a143))/\((c3_1 (a143))/\(~(c1_1 (a143)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/((hskp19)\/(hskp17))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp22)\/(hskp7))) -> (~(c0_1 (a123))) -> (~(c1_1 (a123))) -> (c2_1 (a123)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp1)\/(hskp3))) -> (~(hskp3)) -> (~(hskp1)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> False). % 0.61/0.83 do 0 intro. intros zenon_Ha8 zenon_H143 zenon_H184 zenon_H1c5 zenon_Ha3 zenon_H187 zenon_H251 zenon_H252 zenon_H253 zenon_Hdc zenon_H4d zenon_Hda zenon_H16d zenon_H185 zenon_H95. % 0.61/0.83 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.61/0.83 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H6e. zenon_intro zenon_Haa. % 0.61/0.83 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H122 | zenon_intro zenon_H136 ]. % 0.61/0.83 apply (zenon_L278_); trivial. % 0.61/0.83 apply (zenon_L279_); trivial. % 0.61/0.83 (* end of lemma zenon_L280_ *) % 0.61/0.83 assert (zenon_L281_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a143))/\((c3_1 (a143))/\(~(c1_1 (a143))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/((hskp19)\/(hskp17))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp22)\/(hskp7))) -> ((hskp12)\/((hskp19)\/(hskp13))) -> (~(hskp12)) -> (~(c0_1 (a123))) -> (~(c1_1 (a123))) -> (c2_1 (a123)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp1)\/(hskp3))) -> (~(hskp3)) -> (~(hskp1)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> False). % 0.61/0.83 do 0 intro. intros zenon_Haf zenon_H143 zenon_H184 zenon_H1c5 zenon_Ha3 zenon_H187 zenon_H7 zenon_H1 zenon_H251 zenon_H252 zenon_H253 zenon_Hdc zenon_H4d zenon_Hda zenon_H16d zenon_H185 zenon_H95. % 0.61/0.83 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha8 ]. % 0.61/0.83 apply (zenon_L276_); trivial. % 0.61/0.83 apply (zenon_L280_); trivial. % 0.61/0.83 (* end of lemma zenon_L281_ *) % 0.61/0.83 assert (zenon_L282_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(hskp4))) -> (~(hskp4)) -> (~(hskp1)) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp1)\/(hskp3))) -> (c2_1 (a123)) -> (~(c1_1 (a123))) -> (~(c0_1 (a123))) -> ((hskp12)\/((hskp19)\/(hskp13))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp22)\/(hskp7))) -> (~(hskp7)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/((hskp19)\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a143))/\((c3_1 (a143))/\(~(c1_1 (a143))))))) -> False). % 0.61/0.83 do 0 intro. intros zenon_Hae zenon_H95 zenon_H185 zenon_H16d zenon_Hda zenon_H4d zenon_Hdc zenon_H253 zenon_H252 zenon_H251 zenon_H7 zenon_H187 zenon_Ha3 zenon_H1c5 zenon_H184 zenon_H143 zenon_Haf. % 0.61/0.83 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.83 apply (zenon_L281_); trivial. % 0.61/0.83 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 0.61/0.83 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H8b. zenon_intro zenon_Had. % 0.61/0.83 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H122 | zenon_intro zenon_H136 ]. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H96 ]. % 0.61/0.83 apply (zenon_L158_); trivial. % 0.61/0.83 apply (zenon_L275_); trivial. % 0.61/0.83 apply (zenon_L279_); trivial. % 0.61/0.83 (* end of lemma zenon_L282_ *) % 0.61/0.83 assert (zenon_L283_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(hskp4))) -> (~(hskp4)) -> (c2_1 (a123)) -> (~(c1_1 (a123))) -> (~(c0_1 (a123))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((hskp28)\/(hskp8))) -> (~(hskp8)) -> (ndr1_0) -> (~(c0_1 (a132))) -> (~(c2_1 (a132))) -> (c3_1 (a132)) -> (~(hskp13)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp17)\/(hskp13))) -> (~(hskp3)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp3)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> False). % 0.61/0.83 do 0 intro. intros zenon_H143 zenon_H185 zenon_H16d zenon_H253 zenon_H252 zenon_H251 zenon_H5d zenon_H41 zenon_Ha zenon_H127 zenon_H116 zenon_H118 zenon_H5 zenon_H124 zenon_H4d zenon_H50 zenon_H64. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H122 | zenon_intro zenon_H136 ]. % 0.61/0.83 apply (zenon_L120_); trivial. % 0.61/0.83 apply (zenon_L279_); trivial. % 0.61/0.83 (* end of lemma zenon_L283_ *) % 0.61/0.83 assert (zenon_L284_ : (~(hskp21)) -> (hskp21) -> False). % 0.61/0.83 do 0 intro. intros zenon_H25a zenon_H25b. % 0.61/0.83 exact (zenon_H25a zenon_H25b). % 0.61/0.83 (* end of lemma zenon_L284_ *) % 0.61/0.83 assert (zenon_L285_ : ((hskp21)\/((hskp20)\/(hskp6))) -> (~(hskp21)) -> (~(hskp20)) -> (~(hskp6)) -> False). % 0.61/0.83 do 0 intro. intros zenon_H25c zenon_H25a zenon_H198 zenon_H3b. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H25c); [ zenon_intro zenon_H25b | zenon_intro zenon_H25d ]. % 0.61/0.83 exact (zenon_H25a zenon_H25b). % 0.61/0.83 apply (zenon_or_s _ _ zenon_H25d); [ zenon_intro zenon_H199 | zenon_intro zenon_H3c ]. % 0.61/0.83 exact (zenon_H198 zenon_H199). % 0.61/0.83 exact (zenon_H3b zenon_H3c). % 0.61/0.83 (* end of lemma zenon_L285_ *) % 0.61/0.83 assert (zenon_L286_ : (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16)))))) -> (ndr1_0) -> (~(c1_1 (a170))) -> (c0_1 (a170)) -> (c2_1 (a170)) -> False). % 0.61/0.83 do 0 intro. intros zenon_H1cd zenon_Ha zenon_H25e zenon_H25f zenon_H260. % 0.61/0.83 generalize (zenon_H1cd (a170)). zenon_intro zenon_H261. % 0.61/0.83 apply (zenon_imply_s _ _ zenon_H261); [ zenon_intro zenon_H9 | zenon_intro zenon_H262 ]. % 0.61/0.83 exact (zenon_H9 zenon_Ha). % 0.61/0.83 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H264 | zenon_intro zenon_H263 ]. % 0.61/0.83 exact (zenon_H25e zenon_H264). % 0.61/0.83 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H266 | zenon_intro zenon_H265 ]. % 0.61/0.83 exact (zenon_H266 zenon_H25f). % 0.61/0.83 exact (zenon_H265 zenon_H260). % 0.61/0.83 (* end of lemma zenon_L286_ *) % 0.61/0.83 assert (zenon_L287_ : ((ndr1_0)/\((c0_1 (a167))/\((c1_1 (a167))/\(c3_1 (a167))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a123)) -> (~(c1_1 (a123))) -> (~(c0_1 (a123))) -> (c2_1 (a170)) -> (c0_1 (a170)) -> (~(c1_1 (a170))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp1)\/(hskp3))) -> (~(hskp1)) -> (~(hskp3)) -> False). % 0.61/0.83 do 0 intro. intros zenon_H1a5 zenon_H1f5 zenon_H253 zenon_H252 zenon_H251 zenon_H260 zenon_H25f zenon_H25e zenon_Hdc zenon_Hda zenon_H4d. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_Ha. zenon_intro zenon_H1a6. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H19c. zenon_intro zenon_H1a7. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19d. zenon_intro zenon_H19e. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H167 | zenon_intro zenon_H1f6 ]. % 0.61/0.83 apply (zenon_L274_); trivial. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H1cd | zenon_intro zenon_H43 ]. % 0.61/0.83 apply (zenon_L286_); trivial. % 0.61/0.83 apply (zenon_L174_); trivial. % 0.61/0.83 (* end of lemma zenon_L287_ *) % 0.61/0.83 assert (zenon_L288_ : ((ndr1_0)/\((c2_1 (a179))/\((~(c1_1 (a179)))/\(~(c3_1 (a179)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a167))/\((c1_1 (a167))/\(c3_1 (a167)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp1)) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp1)\/(hskp3))) -> (c2_1 (a170)) -> (c0_1 (a170)) -> (~(c1_1 (a170))) -> (c2_1 (a123)) -> (~(c1_1 (a123))) -> (~(c0_1 (a123))) -> (~(hskp20)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/((hskp30)\/(hskp20))) -> False). % 0.61/0.83 do 0 intro. intros zenon_H1aa zenon_H1a9 zenon_H1f5 zenon_Hda zenon_H4d zenon_Hdc zenon_H260 zenon_H25f zenon_H25e zenon_H253 zenon_H252 zenon_H251 zenon_H198 zenon_H19a. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha. zenon_intro zenon_H1ab. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H18f. zenon_intro zenon_H1ac. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H196 | zenon_intro zenon_H1a5 ]. % 0.61/0.83 apply (zenon_L141_); trivial. % 0.61/0.83 apply (zenon_L287_); trivial. % 0.61/0.83 (* end of lemma zenon_L288_ *) % 0.61/0.83 assert (zenon_L289_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a170))/\((c2_1 (a170))/\(~(c1_1 (a170))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a179))/\((~(c1_1 (a179)))/\(~(c3_1 (a179))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a167))/\((c1_1 (a167))/\(c3_1 (a167)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp1)) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp1)\/(hskp3))) -> (c2_1 (a123)) -> (~(c1_1 (a123))) -> (~(c0_1 (a123))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/((hskp30)\/(hskp20))) -> (~(c1_1 (a143))) -> (c2_1 (a143)) -> (c3_1 (a143)) -> (~(hskp8)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp8)\/(hskp23))) -> (~(hskp20)) -> (~(hskp6)) -> ((hskp21)\/((hskp20)\/(hskp6))) -> False). % 0.61/0.83 do 0 intro. intros zenon_H267 zenon_H1a8 zenon_H1a9 zenon_H1f5 zenon_Hda zenon_H4d zenon_Hdc zenon_H253 zenon_H252 zenon_H251 zenon_H19a zenon_H6d zenon_H6e zenon_H6f zenon_H41 zenon_H18b zenon_H198 zenon_H3b zenon_H25c. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H25a | zenon_intro zenon_H268 ]. % 0.61/0.83 apply (zenon_L285_); trivial. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H268). zenon_intro zenon_Ha. zenon_intro zenon_H269. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H25f. zenon_intro zenon_H26a. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H25e. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H189 | zenon_intro zenon_H1aa ]. % 0.61/0.83 apply (zenon_L137_); trivial. % 0.61/0.83 apply (zenon_L288_); trivial. % 0.61/0.83 (* end of lemma zenon_L289_ *) % 0.61/0.83 assert (zenon_L290_ : ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((hskp27)\/(hskp19))) -> (c1_1 (a168)) -> (~(c3_1 (a168))) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7)))))) -> (~(hskp27)) -> (~(hskp19)) -> False). % 0.61/0.83 do 0 intro. intros zenon_H26b zenon_H1ae zenon_H1ad zenon_Ha zenon_Hf2 zenon_H1c9 zenon_H3. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H15b | zenon_intro zenon_H26c ]. % 0.61/0.83 apply (zenon_L145_); trivial. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H1ca | zenon_intro zenon_H4 ]. % 0.61/0.83 exact (zenon_H1c9 zenon_H1ca). % 0.61/0.83 exact (zenon_H3 zenon_H4). % 0.61/0.83 (* end of lemma zenon_L290_ *) % 0.61/0.83 assert (zenon_L291_ : (~(hskp5)) -> (hskp5) -> False). % 0.61/0.83 do 0 intro. intros zenon_H26d zenon_H26e. % 0.61/0.83 exact (zenon_H26d zenon_H26e). % 0.61/0.83 (* end of lemma zenon_L291_ *) % 0.61/0.83 assert (zenon_L292_ : ((ndr1_0)/\((c0_1 (a136))/\((c1_1 (a136))/\(c2_1 (a136))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(hskp5))) -> (c2_1 (a123)) -> (~(c1_1 (a123))) -> (~(c0_1 (a123))) -> (~(hskp5)) -> False). % 0.61/0.83 do 0 intro. intros zenon_Hc6 zenon_H26f zenon_H253 zenon_H252 zenon_H251 zenon_H26d. % 0.61/0.83 apply (zenon_and_s _ _ zenon_Hc6). zenon_intro zenon_Ha. zenon_intro zenon_Hc8. % 0.61/0.83 apply (zenon_and_s _ _ zenon_Hc8). zenon_intro zenon_Hbd. zenon_intro zenon_Hc9. % 0.61/0.83 apply (zenon_and_s _ _ zenon_Hc9). zenon_intro zenon_Hbe. zenon_intro zenon_Hbf. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H167 | zenon_intro zenon_H270 ]. % 0.61/0.83 apply (zenon_L274_); trivial. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_Hbc | zenon_intro zenon_H26e ]. % 0.61/0.83 apply (zenon_L56_); trivial. % 0.61/0.83 exact (zenon_H26d zenon_H26e). % 0.61/0.83 (* end of lemma zenon_L292_ *) % 0.61/0.83 assert (zenon_L293_ : ((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a136))/\((c1_1 (a136))/\(c2_1 (a136)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a123)) -> (~(c1_1 (a123))) -> (~(c0_1 (a123))) -> (~(c0_1 (a132))) -> (~(c2_1 (a132))) -> (c3_1 (a132)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> (c1_1 (a168)) -> (~(c3_1 (a168))) -> (~(c0_1 (a168))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp29))) -> False). % 0.61/0.83 do 0 intro. intros zenon_H1f1 zenon_Hcb zenon_H26f zenon_H26d zenon_H253 zenon_H252 zenon_H251 zenon_H127 zenon_H116 zenon_H118 zenon_H1ed zenon_H1ae zenon_H1ad zenon_H1bc zenon_H1ef. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_Ha. zenon_intro zenon_H1f2. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H1cf. zenon_intro zenon_H1f3. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d0. zenon_intro zenon_H1e8. % 0.61/0.83 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc6 ]. % 0.61/0.83 apply (zenon_L179_); trivial. % 0.61/0.83 apply (zenon_L292_); trivial. % 0.61/0.83 (* end of lemma zenon_L293_ *) % 0.61/0.83 assert (zenon_L294_ : ((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c3_1 (a168)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122)))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp29))) -> (~(hskp19)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((hskp27)\/(hskp19))) -> (c3_1 (a132)) -> (~(c2_1 (a132))) -> (~(c0_1 (a132))) -> (~(c0_1 (a123))) -> (~(c1_1 (a123))) -> (c2_1 (a123)) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(hskp5))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a136))/\((c1_1 (a136))/\(c2_1 (a136)))))) -> False). % 0.61/0.83 do 0 intro. intros zenon_H1b9 zenon_H1f4 zenon_H1ed zenon_H1ef zenon_H3 zenon_H26b zenon_H118 zenon_H116 zenon_H127 zenon_H251 zenon_H252 zenon_H253 zenon_H26d zenon_H26f zenon_Hcb. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha. zenon_intro zenon_H1ba. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1ae. zenon_intro zenon_H1bb. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1bc. zenon_intro zenon_H1ad. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H1f1 ]. % 0.61/0.83 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Hc6 ]. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H1ef); [ zenon_intro zenon_H126 | zenon_intro zenon_H1f0 ]. % 0.61/0.83 apply (zenon_L91_); trivial. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hb1 ]. % 0.61/0.83 apply (zenon_L290_); trivial. % 0.61/0.83 exact (zenon_Hb0 zenon_Hb1). % 0.61/0.83 apply (zenon_L292_); trivial. % 0.61/0.83 apply (zenon_L293_); trivial. % 0.61/0.83 (* end of lemma zenon_L294_ *) % 0.61/0.83 assert (zenon_L295_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a143))/\((c3_1 (a143))/\(~(c1_1 (a143))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a170))/\((c2_1 (a170))/\(~(c1_1 (a170))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a179))/\((~(c1_1 (a179)))/\(~(c3_1 (a179))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a167))/\((c1_1 (a167))/\(c3_1 (a167)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp1)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp1)\/(hskp3))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/((hskp30)\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp8)\/(hskp23))) -> (~(hskp6)) -> ((hskp21)\/((hskp20)\/(hskp6))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a136))/\((c1_1 (a136))/\(c2_1 (a136)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((hskp27)\/(hskp19))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp29))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c3_1 (a168))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp3)\/(hskp13))) -> (~(hskp3)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp17)\/(hskp13))) -> (c3_1 (a132)) -> (~(c2_1 (a132))) -> (~(c0_1 (a132))) -> (ndr1_0) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((hskp28)\/(hskp8))) -> (~(c0_1 (a123))) -> (~(c1_1 (a123))) -> (c2_1 (a123)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(hskp4))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155))))))) -> False). % 0.61/0.83 do 0 intro. intros zenon_Haf zenon_H95 zenon_H267 zenon_H1a8 zenon_H1a9 zenon_H1f5 zenon_Hda zenon_Hdc zenon_H19a zenon_H18b zenon_H3b zenon_H25c zenon_Hcb zenon_H26f zenon_H26d zenon_H26b zenon_H1ef zenon_H1ed zenon_H1f4 zenon_H1bd zenon_H64 zenon_H50 zenon_H4d zenon_H124 zenon_H118 zenon_H116 zenon_H127 zenon_Ha zenon_H41 zenon_H5d zenon_H251 zenon_H252 zenon_H253 zenon_H16d zenon_H185 zenon_H143. % 0.61/0.83 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha8 ]. % 0.61/0.83 apply (zenon_L283_); trivial. % 0.61/0.83 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.61/0.83 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H6e. zenon_intro zenon_Haa. % 0.61/0.83 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H96 ]. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b9 ]. % 0.61/0.83 apply (zenon_L289_); trivial. % 0.61/0.83 apply (zenon_L294_); trivial. % 0.61/0.83 apply (zenon_L275_); trivial. % 0.61/0.83 (* end of lemma zenon_L295_ *) % 0.61/0.83 assert (zenon_L296_ : ((ndr1_0)/\((c0_1 (a170))/\((c2_1 (a170))/\(~(c1_1 (a170)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/((hskp19)\/(hskp17))) -> (~(hskp17)) -> (~(hskp19)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/((hskp30)\/(hskp20))) -> (~(hskp20)) -> (~(c3_1 (a134))) -> (c2_1 (a134)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp22)) -> (~(c0_1 (a123))) -> (~(c1_1 (a123))) -> (c2_1 (a123)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp1)\/(hskp3))) -> (~(hskp3)) -> (~(hskp1)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a167))/\((c1_1 (a167))/\(c3_1 (a167)))))) -> False). % 0.61/0.83 do 0 intro. intros zenon_H268 zenon_H184 zenon_H1c5 zenon_H122 zenon_H3 zenon_H19a zenon_H198 zenon_Hb4 zenon_Hb5 zenon_H166 zenon_H251 zenon_H252 zenon_H253 zenon_Hdc zenon_H4d zenon_Hda zenon_H1f5 zenon_H1a9. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H268). zenon_intro zenon_Ha. zenon_intro zenon_H269. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H25f. zenon_intro zenon_H26a. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H25e. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H164 | zenon_intro zenon_H17e ]. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H196 | zenon_intro zenon_H1a5 ]. % 0.61/0.83 apply (zenon_L170_); trivial. % 0.61/0.83 apply (zenon_L287_); trivial. % 0.61/0.83 apply (zenon_L157_); trivial. % 0.61/0.83 (* end of lemma zenon_L296_ *) % 0.61/0.83 assert (zenon_L297_ : ((~(hskp21))\/((ndr1_0)/\((c0_1 (a170))/\((c2_1 (a170))/\(~(c1_1 (a170))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/((hskp19)\/(hskp17))) -> (~(hskp17)) -> (~(hskp19)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/((hskp30)\/(hskp20))) -> (~(c3_1 (a134))) -> (c2_1 (a134)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp22)) -> (~(c0_1 (a123))) -> (~(c1_1 (a123))) -> (c2_1 (a123)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp1)\/(hskp3))) -> (~(hskp3)) -> (~(hskp1)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a167))/\((c1_1 (a167))/\(c3_1 (a167)))))) -> (~(hskp20)) -> (~(hskp6)) -> ((hskp21)\/((hskp20)\/(hskp6))) -> False). % 0.61/0.83 do 0 intro. intros zenon_H267 zenon_H184 zenon_H1c5 zenon_H122 zenon_H3 zenon_H19a zenon_Hb4 zenon_Hb5 zenon_H166 zenon_H251 zenon_H252 zenon_H253 zenon_Hdc zenon_H4d zenon_Hda zenon_H1f5 zenon_H1a9 zenon_H198 zenon_H3b zenon_H25c. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H25a | zenon_intro zenon_H268 ]. % 0.61/0.83 apply (zenon_L285_); trivial. % 0.61/0.83 apply (zenon_L296_); trivial. % 0.61/0.83 (* end of lemma zenon_L297_ *) % 0.61/0.83 assert (zenon_L298_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((hskp28)\/(hskp8))) -> (ndr1_0) -> (c2_1 (a143)) -> (c3_1 (a143)) -> (~(c1_1 (a143))) -> (~(c0_1 (a182))) -> (~(c2_1 (a182))) -> (~(c3_1 (a182))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(c3_1 X33)))))\/((forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp8))) -> (~(hskp28)) -> (~(hskp8)) -> False). % 0.61/0.83 do 0 intro. intros zenon_H5d zenon_Ha zenon_H6e zenon_H6f zenon_H6d zenon_H103 zenon_H104 zenon_H105 zenon_H141 zenon_H3f zenon_H41. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H2b | zenon_intro zenon_H5e ]. % 0.61/0.83 apply (zenon_L104_); trivial. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H40 | zenon_intro zenon_H42 ]. % 0.61/0.83 exact (zenon_H3f zenon_H40). % 0.61/0.83 exact (zenon_H41 zenon_H42). % 0.61/0.83 (* end of lemma zenon_L298_ *) % 0.61/0.83 assert (zenon_L299_ : (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5)))))) -> (ndr1_0) -> (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16)))))) -> (~(c1_1 (a179))) -> (c2_1 (a179)) -> (~(c3_1 (a179))) -> False). % 0.61/0.83 do 0 intro. intros zenon_Hb2 zenon_Ha zenon_H1cd zenon_H18d zenon_H18f zenon_H18e. % 0.61/0.83 generalize (zenon_Hb2 (a179)). zenon_intro zenon_H271. % 0.61/0.83 apply (zenon_imply_s _ _ zenon_H271); [ zenon_intro zenon_H9 | zenon_intro zenon_H272 ]. % 0.61/0.83 exact (zenon_H9 zenon_Ha). % 0.61/0.83 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H273 | zenon_intro zenon_H192 ]. % 0.61/0.83 generalize (zenon_H1cd (a179)). zenon_intro zenon_H274. % 0.61/0.83 apply (zenon_imply_s _ _ zenon_H274); [ zenon_intro zenon_H9 | zenon_intro zenon_H275 ]. % 0.61/0.83 exact (zenon_H9 zenon_Ha). % 0.61/0.83 apply (zenon_or_s _ _ zenon_H275); [ zenon_intro zenon_H193 | zenon_intro zenon_H276 ]. % 0.61/0.83 exact (zenon_H18d zenon_H193). % 0.61/0.83 apply (zenon_or_s _ _ zenon_H276); [ zenon_intro zenon_H277 | zenon_intro zenon_H194 ]. % 0.61/0.83 exact (zenon_H277 zenon_H273). % 0.61/0.83 exact (zenon_H194 zenon_H18f). % 0.61/0.83 apply (zenon_or_s _ _ zenon_H192); [ zenon_intro zenon_H195 | zenon_intro zenon_H194 ]. % 0.61/0.83 exact (zenon_H18e zenon_H195). % 0.61/0.83 exact (zenon_H194 zenon_H18f). % 0.61/0.83 (* end of lemma zenon_L299_ *) % 0.61/0.83 assert (zenon_L300_ : ((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp27))) -> (~(c2_1 (a131))) -> (~(c1_1 (a131))) -> (~(c0_1 (a131))) -> (~(c1_1 (a179))) -> (c2_1 (a179)) -> (~(c3_1 (a179))) -> (~(c0_1 (a123))) -> (~(c1_1 (a123))) -> (c2_1 (a123)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp27)) -> False). % 0.61/0.83 do 0 intro. intros zenon_H4f zenon_H1cb zenon_He3 zenon_He2 zenon_He1 zenon_H18d zenon_H18f zenon_H18e zenon_H251 zenon_H252 zenon_H253 zenon_H1f5 zenon_H1c9. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_Ha. zenon_intro zenon_H51. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H44. zenon_intro zenon_H52. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H45. zenon_intro zenon_H46. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H1cb); [ zenon_intro zenon_He0 | zenon_intro zenon_H1cc ]. % 0.61/0.83 apply (zenon_L70_); trivial. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H1cc); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H1ca ]. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H167 | zenon_intro zenon_H1f6 ]. % 0.61/0.83 apply (zenon_L274_); trivial. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H1cd | zenon_intro zenon_H43 ]. % 0.61/0.83 apply (zenon_L299_); trivial. % 0.61/0.83 apply (zenon_L19_); trivial. % 0.61/0.83 exact (zenon_H1c9 zenon_H1ca). % 0.61/0.83 (* end of lemma zenon_L300_ *) % 0.61/0.83 assert (zenon_L301_ : ((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122))))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(c3_1 X33)))))\/((forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp8))) -> (~(c3_1 (a182))) -> (~(c2_1 (a182))) -> (~(c0_1 (a182))) -> (~(hskp8)) -> False). % 0.61/0.83 do 0 intro. intros zenon_H1f1 zenon_H141 zenon_H105 zenon_H104 zenon_H103 zenon_H41. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_Ha. zenon_intro zenon_H1f2. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H1cf. zenon_intro zenon_H1f3. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d0. zenon_intro zenon_H1e8. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H102 | zenon_intro zenon_H142 ]. % 0.61/0.83 apply (zenon_L78_); trivial. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H13e | zenon_intro zenon_H42 ]. % 0.61/0.83 apply (zenon_L177_); trivial. % 0.61/0.83 exact (zenon_H41 zenon_H42). % 0.61/0.83 (* end of lemma zenon_L301_ *) % 0.61/0.83 assert (zenon_L302_ : ((ndr1_0)/\((~(c0_1 (a182)))/\((~(c2_1 (a182)))/\(~(c3_1 (a182)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((hskp28)\/(hskp8))) -> (c2_1 (a143)) -> (c3_1 (a143)) -> (~(c1_1 (a143))) -> (~(hskp8)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(c3_1 X33)))))\/((forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp8))) -> (~(c0_1 (a131))) -> (~(c1_1 (a131))) -> (~(c2_1 (a131))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c3_1 (a179))) -> (c2_1 (a179)) -> (~(c1_1 (a179))) -> (c2_1 (a123)) -> (~(c1_1 (a123))) -> (~(c0_1 (a123))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> False). % 0.61/0.83 do 0 intro. intros zenon_H10c zenon_H1f4 zenon_H5d zenon_H6e zenon_H6f zenon_H6d zenon_H41 zenon_H141 zenon_He1 zenon_He2 zenon_He3 zenon_H1f5 zenon_H18e zenon_H18f zenon_H18d zenon_H253 zenon_H252 zenon_H251 zenon_H1cb zenon_H64. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Ha. zenon_intro zenon_H10e. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H1f1 ]. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H3f | zenon_intro zenon_H4f ]. % 0.61/0.83 apply (zenon_L298_); trivial. % 0.61/0.83 apply (zenon_L300_); trivial. % 0.61/0.83 apply (zenon_L301_); trivial. % 0.61/0.83 (* end of lemma zenon_L302_ *) % 0.61/0.83 assert (zenon_L303_ : ((ndr1_0)/\((c2_1 (a179))/\((~(c1_1 (a179)))/\(~(c3_1 (a179)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c0_1 (a182)))/\((~(c2_1 (a182)))/\(~(c3_1 (a182))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((hskp28)\/(hskp8))) -> (~(hskp8)) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(c3_1 X33)))))\/((forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp8))) -> (~(c0_1 (a131))) -> (~(c1_1 (a131))) -> (~(c2_1 (a131))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a123)) -> (~(c1_1 (a123))) -> (~(c0_1 (a123))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a143)) -> (c2_1 (a143)) -> (~(c1_1 (a143))) -> (c3_1 (a132)) -> (~(c2_1 (a132))) -> (~(c0_1 (a132))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp17)\/(hskp24))) -> False). % 0.61/0.83 do 0 intro. intros zenon_H1aa zenon_H111 zenon_H1f4 zenon_H5d zenon_H41 zenon_H141 zenon_He1 zenon_He2 zenon_He3 zenon_H1f5 zenon_H253 zenon_H252 zenon_H251 zenon_H1cb zenon_H64 zenon_H84 zenon_H6f zenon_H6e zenon_H6d zenon_H118 zenon_H116 zenon_H127 zenon_H122 zenon_H13c. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha. zenon_intro zenon_H1ab. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H18f. zenon_intro zenon_H1ac. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfe | zenon_intro zenon_H10c ]. % 0.61/0.83 apply (zenon_L97_); trivial. % 0.61/0.83 apply (zenon_L302_); trivial. % 0.61/0.83 (* end of lemma zenon_L303_ *) % 0.61/0.83 assert (zenon_L304_ : ((~(hskp23))\/((ndr1_0)/\((c2_1 (a179))/\((~(c1_1 (a179)))/\(~(c3_1 (a179))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c0_1 (a182)))/\((~(c2_1 (a182)))/\(~(c3_1 (a182))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((hskp28)\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(c3_1 X33)))))\/((forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp8))) -> (~(c0_1 (a131))) -> (~(c1_1 (a131))) -> (~(c2_1 (a131))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a123)) -> (~(c1_1 (a123))) -> (~(c0_1 (a123))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a132)) -> (~(c2_1 (a132))) -> (~(c0_1 (a132))) -> (~(hskp17)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp17)\/(hskp24))) -> (ndr1_0) -> (~(c1_1 (a143))) -> (c2_1 (a143)) -> (c3_1 (a143)) -> (~(hskp8)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp8)\/(hskp23))) -> False). % 0.61/0.83 do 0 intro. intros zenon_H1a8 zenon_H111 zenon_H1f4 zenon_H5d zenon_H141 zenon_He1 zenon_He2 zenon_He3 zenon_H1f5 zenon_H253 zenon_H252 zenon_H251 zenon_H1cb zenon_H64 zenon_H84 zenon_H118 zenon_H116 zenon_H127 zenon_H122 zenon_H13c zenon_Ha zenon_H6d zenon_H6e zenon_H6f zenon_H41 zenon_H18b. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H189 | zenon_intro zenon_H1aa ]. % 0.61/0.83 apply (zenon_L137_); trivial. % 0.61/0.83 apply (zenon_L303_); trivial. % 0.61/0.83 (* end of lemma zenon_L304_ *) % 0.61/0.83 assert (zenon_L305_ : ((ndr1_0)/\((c2_1 (a143))/\((c3_1 (a143))/\(~(c1_1 (a143)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp8)\/(hskp23))) -> (~(hskp8)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp17)\/(hskp24))) -> (~(c0_1 (a132))) -> (~(c2_1 (a132))) -> (c3_1 (a132)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp27))) -> (~(c0_1 (a123))) -> (~(c1_1 (a123))) -> (c2_1 (a123)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c2_1 (a131))) -> (~(c1_1 (a131))) -> (~(c0_1 (a131))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(c3_1 X33)))))\/((forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp8))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((hskp28)\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c0_1 (a182)))/\((~(c2_1 (a182)))/\(~(c3_1 (a182))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a179))/\((~(c1_1 (a179)))/\(~(c3_1 (a179))))))) -> False). % 0.61/0.83 do 0 intro. intros zenon_Ha8 zenon_H143 zenon_H185 zenon_H16d zenon_H18b zenon_H41 zenon_H13c zenon_H127 zenon_H116 zenon_H118 zenon_H84 zenon_H64 zenon_H1cb zenon_H251 zenon_H252 zenon_H253 zenon_H1f5 zenon_He3 zenon_He2 zenon_He1 zenon_H141 zenon_H5d zenon_H1f4 zenon_H111 zenon_H1a8. % 0.61/0.83 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.61/0.83 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H6e. zenon_intro zenon_Haa. % 0.61/0.83 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H122 | zenon_intro zenon_H136 ]. % 0.61/0.83 apply (zenon_L304_); trivial. % 0.61/0.83 apply (zenon_L279_); trivial. % 0.61/0.83 (* end of lemma zenon_L305_ *) % 0.61/0.83 assert (zenon_L306_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a143))/\((c3_1 (a143))/\(~(c1_1 (a143))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp8)\/(hskp23))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp17)\/(hskp24))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp27))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c2_1 (a131))) -> (~(c1_1 (a131))) -> (~(c0_1 (a131))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(c3_1 X33)))))\/((forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c0_1 (a182)))/\((~(c2_1 (a182)))/\(~(c3_1 (a182))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a179))/\((~(c1_1 (a179)))/\(~(c3_1 (a179))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp3)\/(hskp13))) -> (~(hskp3)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp17)\/(hskp13))) -> (c3_1 (a132)) -> (~(c2_1 (a132))) -> (~(c0_1 (a132))) -> (ndr1_0) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((hskp28)\/(hskp8))) -> (~(c0_1 (a123))) -> (~(c1_1 (a123))) -> (c2_1 (a123)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(hskp4))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155))))))) -> False). % 0.61/0.83 do 0 intro. intros zenon_Haf zenon_H18b zenon_H13c zenon_H84 zenon_H1cb zenon_H1f5 zenon_He3 zenon_He2 zenon_He1 zenon_H141 zenon_H1f4 zenon_H111 zenon_H1a8 zenon_H64 zenon_H50 zenon_H4d zenon_H124 zenon_H118 zenon_H116 zenon_H127 zenon_Ha zenon_H41 zenon_H5d zenon_H251 zenon_H252 zenon_H253 zenon_H16d zenon_H185 zenon_H143. % 0.61/0.83 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha8 ]. % 0.61/0.83 apply (zenon_L283_); trivial. % 0.61/0.83 apply (zenon_L305_); trivial. % 0.61/0.83 (* end of lemma zenon_L306_ *) % 0.61/0.83 assert (zenon_L307_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(hskp5))) -> (c2_1 (a123)) -> (~(c1_1 (a123))) -> (~(c0_1 (a123))) -> (c2_1 (a122)) -> (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16)))))) -> (c0_1 (a122)) -> (ndr1_0) -> (~(hskp5)) -> False). % 0.61/0.83 do 0 intro. intros zenon_H26f zenon_H253 zenon_H252 zenon_H251 zenon_H1d0 zenon_H1cd zenon_H1cf zenon_Ha zenon_H26d. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H167 | zenon_intro zenon_H270 ]. % 0.61/0.83 apply (zenon_L274_); trivial. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H270); [ zenon_intro zenon_Hbc | zenon_intro zenon_H26e ]. % 0.61/0.83 apply (zenon_L172_); trivial. % 0.61/0.83 exact (zenon_H26d zenon_H26e). % 0.61/0.83 (* end of lemma zenon_L307_ *) % 0.61/0.83 assert (zenon_L308_ : ((ndr1_0)/\((c0_1 (a167))/\((c1_1 (a167))/\(c3_1 (a167))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp5)) -> (c0_1 (a122)) -> (c2_1 (a122)) -> (~(c0_1 (a123))) -> (~(c1_1 (a123))) -> (c2_1 (a123)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(hskp5))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp1)\/(hskp3))) -> (~(hskp1)) -> (~(hskp3)) -> False). % 0.61/0.83 do 0 intro. intros zenon_H1a5 zenon_H1f5 zenon_H26d zenon_H1cf zenon_H1d0 zenon_H251 zenon_H252 zenon_H253 zenon_H26f zenon_Hdc zenon_Hda zenon_H4d. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H1a5). zenon_intro zenon_Ha. zenon_intro zenon_H1a6. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H1a6). zenon_intro zenon_H19c. zenon_intro zenon_H1a7. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H1a7). zenon_intro zenon_H19d. zenon_intro zenon_H19e. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H167 | zenon_intro zenon_H1f6 ]. % 0.61/0.83 apply (zenon_L274_); trivial. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H1cd | zenon_intro zenon_H43 ]. % 0.61/0.83 apply (zenon_L307_); trivial. % 0.61/0.83 apply (zenon_L174_); trivial. % 0.61/0.83 (* end of lemma zenon_L308_ *) % 0.61/0.83 assert (zenon_L309_ : ((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a167))/\((c1_1 (a167))/\(c3_1 (a167)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp1)) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp1)\/(hskp3))) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(hskp5))) -> (c2_1 (a123)) -> (~(c1_1 (a123))) -> (~(c0_1 (a123))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp22)) -> (~(hskp22)) -> (c2_1 (a134)) -> (~(c3_1 (a134))) -> (~(hskp20)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/((hskp30)\/(hskp20))) -> False). % 0.61/0.83 do 0 intro. intros zenon_H1f1 zenon_H1a9 zenon_H1f5 zenon_Hda zenon_H4d zenon_Hdc zenon_H26d zenon_H26f zenon_H253 zenon_H252 zenon_H251 zenon_H166 zenon_H164 zenon_Hb5 zenon_Hb4 zenon_H198 zenon_H19a. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_Ha. zenon_intro zenon_H1f2. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H1cf. zenon_intro zenon_H1f3. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d0. zenon_intro zenon_H1e8. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H196 | zenon_intro zenon_H1a5 ]. % 0.61/0.83 apply (zenon_L170_); trivial. % 0.61/0.83 apply (zenon_L308_); trivial. % 0.61/0.83 (* end of lemma zenon_L309_ *) % 0.61/0.83 assert (zenon_L310_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c3_1 (a168))))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp29))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((hskp27)\/(hskp19))) -> (c3_1 (a132)) -> (~(c2_1 (a132))) -> (~(c0_1 (a132))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a136))/\((c1_1 (a136))/\(c2_1 (a136)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122)))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a167))/\((c1_1 (a167))/\(c3_1 (a167)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp1)) -> (~(hskp3)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp1)\/(hskp3))) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((~(c1_1 X21))\/(~(c2_1 X21))))))\/(hskp5))) -> (c2_1 (a123)) -> (~(c1_1 (a123))) -> (~(c0_1 (a123))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp22)) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/((hskp30)\/(hskp20))) -> (ndr1_0) -> (~(c0_1 (a131))) -> (~(c1_1 (a131))) -> (~(c2_1 (a131))) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c2_1 (a134)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp27))) -> (~(hskp19)) -> (~(hskp17)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/((hskp19)\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> False). % 0.61/0.83 do 0 intro. intros zenon_H1bd zenon_H1ed zenon_H1ef zenon_H26b zenon_H118 zenon_H116 zenon_H127 zenon_Hcb zenon_H1f4 zenon_H1a9 zenon_H1f5 zenon_Hda zenon_H4d zenon_Hdc zenon_H26d zenon_H26f zenon_H253 zenon_H252 zenon_H251 zenon_H166 zenon_H19a zenon_Ha zenon_He1 zenon_He2 zenon_He3 zenon_Hb3 zenon_Hb4 zenon_Hb5 zenon_H1cb zenon_H3 zenon_H122 zenon_H1c5 zenon_H184. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b9 ]. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H164 | zenon_intro zenon_H17e ]. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H1f1 ]. % 0.61/0.83 apply (zenon_L169_); trivial. % 0.61/0.83 apply (zenon_L309_); trivial. % 0.61/0.83 apply (zenon_L157_); trivial. % 0.61/0.83 apply (zenon_L294_); trivial. % 0.61/0.83 (* end of lemma zenon_L310_ *) % 0.61/0.83 assert (zenon_L311_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (ndr1_0) -> (~(c0_1 (a130))) -> (~(c1_1 (a130))) -> (~(c3_1 (a130))) -> False). % 0.61/0.83 do 0 intro. intros zenon_H278 zenon_Ha zenon_H279 zenon_H27a zenon_H27b. % 0.61/0.83 generalize (zenon_H278 (a130)). zenon_intro zenon_H27c. % 0.61/0.83 apply (zenon_imply_s _ _ zenon_H27c); [ zenon_intro zenon_H9 | zenon_intro zenon_H27d ]. % 0.61/0.83 exact (zenon_H9 zenon_Ha). % 0.61/0.83 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H27f | zenon_intro zenon_H27e ]. % 0.61/0.83 exact (zenon_H279 zenon_H27f). % 0.61/0.83 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H281 | zenon_intro zenon_H280 ]. % 0.61/0.83 exact (zenon_H27a zenon_H281). % 0.61/0.83 exact (zenon_H27b zenon_H280). % 0.61/0.83 (* end of lemma zenon_L311_ *) % 0.61/0.83 assert (zenon_L312_ : ((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp3))) -> (~(c3_1 (a130))) -> (~(c1_1 (a130))) -> (~(c0_1 (a130))) -> (~(c3_1 (a168))) -> (c1_1 (a168)) -> (~(c0_1 (a168))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> (~(hskp3)) -> False). % 0.61/0.83 do 0 intro. intros zenon_H1f1 zenon_H282 zenon_H27b zenon_H27a zenon_H279 zenon_H1ad zenon_H1ae zenon_H1bc zenon_H1ed zenon_H4d. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_Ha. zenon_intro zenon_H1f2. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H1cf. zenon_intro zenon_H1f3. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d0. zenon_intro zenon_H1e8. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H278 | zenon_intro zenon_H283 ]. % 0.61/0.83 apply (zenon_L311_); trivial. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H4e ]. % 0.61/0.83 apply (zenon_L178_); trivial. % 0.61/0.83 exact (zenon_H4d zenon_H4e). % 0.61/0.83 (* end of lemma zenon_L312_ *) % 0.61/0.83 assert (zenon_L313_ : ((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c3_1 (a168)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122)))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> (~(c0_1 (a130))) -> (~(c1_1 (a130))) -> (~(c3_1 (a130))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((hskp27)\/(hskp19))) -> (~(hskp19)) -> (~(hskp3)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp3))) -> False). % 0.61/0.83 do 0 intro. intros zenon_H1b9 zenon_H1f4 zenon_H1ed zenon_H279 zenon_H27a zenon_H27b zenon_H26b zenon_H3 zenon_H4d zenon_H282. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_Ha. zenon_intro zenon_H1ba. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1ae. zenon_intro zenon_H1bb. % 0.61/0.83 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1bc. zenon_intro zenon_H1ad. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H1f1 ]. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H278 | zenon_intro zenon_H283 ]. % 0.61/0.83 apply (zenon_L311_); trivial. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H4e ]. % 0.61/0.83 apply (zenon_L290_); trivial. % 0.61/0.83 exact (zenon_H4d zenon_H4e). % 0.61/0.83 apply (zenon_L312_); trivial. % 0.61/0.83 (* end of lemma zenon_L313_ *) % 0.61/0.83 assert (zenon_L314_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a143))/\((c3_1 (a143))/\(~(c1_1 (a143))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a170))/\((c2_1 (a170))/\(~(c1_1 (a170))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a179))/\((~(c1_1 (a179)))/\(~(c3_1 (a179))))))) -> ((~(hskp30))\/((ndr1_0)/\((c0_1 (a167))/\((c1_1 (a167))/\(c3_1 (a167)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(hskp1)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp1)\/(hskp3))) -> ((forall X71 : zenon_U, ((ndr1_0)->((c1_1 X71)\/((c3_1 X71)\/(~(c2_1 X71))))))\/((hskp30)\/(hskp20))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp8)\/(hskp23))) -> (~(hskp6)) -> ((hskp21)\/((hskp20)\/(hskp6))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(hskp3))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((hskp27)\/(hskp19))) -> (~(c3_1 (a130))) -> (~(c1_1 (a130))) -> (~(c0_1 (a130))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c3_1 (a168))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp3)\/(hskp13))) -> (~(hskp3)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp17)\/(hskp13))) -> (c3_1 (a132)) -> (~(c2_1 (a132))) -> (~(c0_1 (a132))) -> (ndr1_0) -> (~(hskp8)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((hskp28)\/(hskp8))) -> (~(c0_1 (a123))) -> (~(c1_1 (a123))) -> (c2_1 (a123)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(hskp4))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155))))))) -> False). % 0.61/0.83 do 0 intro. intros zenon_Haf zenon_H95 zenon_H267 zenon_H1a8 zenon_H1a9 zenon_H1f5 zenon_Hda zenon_Hdc zenon_H19a zenon_H18b zenon_H3b zenon_H25c zenon_H282 zenon_H26b zenon_H27b zenon_H27a zenon_H279 zenon_H1ed zenon_H1f4 zenon_H1bd zenon_H64 zenon_H50 zenon_H4d zenon_H124 zenon_H118 zenon_H116 zenon_H127 zenon_Ha zenon_H41 zenon_H5d zenon_H251 zenon_H252 zenon_H253 zenon_H16d zenon_H185 zenon_H143. % 0.61/0.83 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha8 ]. % 0.61/0.83 apply (zenon_L283_); trivial. % 0.61/0.83 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.61/0.83 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H6e. zenon_intro zenon_Haa. % 0.61/0.83 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H96 ]. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b9 ]. % 0.61/0.83 apply (zenon_L289_); trivial. % 0.61/0.83 apply (zenon_L313_); trivial. % 0.61/0.83 apply (zenon_L275_); trivial. % 0.61/0.83 (* end of lemma zenon_L314_ *) % 0.61/0.83 assert (zenon_L315_ : ((ndr1_0)/\((c2_1 (a143))/\((c3_1 (a143))/\(~(c1_1 (a143)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a131))) -> (~(c1_1 (a131))) -> (~(c0_1 (a131))) -> (~(c3_1 (a130))) -> (~(c1_1 (a130))) -> (~(c0_1 (a130))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a132))) -> (c3_1 (a132)) -> (~(c2_1 (a132))) -> False). % 0.61/0.83 do 0 intro. intros zenon_Ha8 zenon_H284 zenon_He3 zenon_He2 zenon_He1 zenon_H27b zenon_H27a zenon_H279 zenon_H84 zenon_H127 zenon_H118 zenon_H116. % 0.61/0.83 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.61/0.83 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H6e. zenon_intro zenon_Haa. % 0.61/0.83 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_He0 | zenon_intro zenon_H285 ]. % 0.61/0.83 apply (zenon_L70_); trivial. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H278 | zenon_intro zenon_Hb ]. % 0.61/0.83 apply (zenon_L311_); trivial. % 0.61/0.83 apply (zenon_L96_); trivial. % 0.61/0.83 (* end of lemma zenon_L315_ *) % 0.61/0.83 assert (zenon_L316_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a143))/\((c3_1 (a143))/\(~(c1_1 (a143))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c3_1 (a130))) -> (~(c1_1 (a130))) -> (~(c0_1 (a130))) -> ((hskp12)\/((hskp19)\/(hskp13))) -> (~(hskp12)) -> (~(c0_1 (a131))) -> (~(c1_1 (a131))) -> (~(c2_1 (a131))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp1)\/(hskp3))) -> (~(hskp3)) -> (~(hskp1)) -> (~(c0_1 (a132))) -> (~(c2_1 (a132))) -> (c3_1 (a132)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> False). % 0.61/0.83 do 0 intro. intros zenon_Haf zenon_H284 zenon_H84 zenon_H27b zenon_H27a zenon_H279 zenon_H7 zenon_H1 zenon_He1 zenon_He2 zenon_He3 zenon_Hdc zenon_H4d zenon_Hda zenon_H127 zenon_H116 zenon_H118 zenon_H1c7 zenon_H95. % 0.61/0.83 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha8 ]. % 0.61/0.83 apply (zenon_L167_); trivial. % 0.61/0.83 apply (zenon_L315_); trivial. % 0.61/0.83 (* end of lemma zenon_L316_ *) % 0.61/0.83 assert (zenon_L317_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((~(c1_1 X21))\/(~(c2_1 X21)))))))) -> (c2_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (c3_1 (a142)) -> (forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (~(c1_1 (a142))) -> (ndr1_0) -> (c0_1 (a122)) -> (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16)))))) -> (c2_1 (a122)) -> False). % 0.61/0.83 do 0 intro. intros zenon_Hc7 zenon_Hb5 zenon_Hb4 zenon_Hb3 zenon_H8c zenon_H81 zenon_H8a zenon_Ha zenon_H1cf zenon_H1cd zenon_H1d0. % 0.61/0.83 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hb2 | zenon_intro zenon_Hca ]. % 0.61/0.83 apply (zenon_L55_); trivial. % 0.61/0.83 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_H7d | zenon_intro zenon_Hbc ]. % 0.61/0.83 apply (zenon_L266_); trivial. % 0.61/0.83 apply (zenon_L172_); trivial. % 0.61/0.83 (* end of lemma zenon_L317_ *) % 0.61/0.83 assert (zenon_L318_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a132))) -> (c3_1 (a132)) -> (~(c2_1 (a132))) -> (forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((~(c1_1 X21))\/(~(c2_1 X21)))))))) -> (c2_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (c3_1 (a142)) -> (~(c1_1 (a142))) -> (ndr1_0) -> (c0_1 (a122)) -> (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16)))))) -> (c2_1 (a122)) -> False). % 0.61/0.83 do 0 intro. intros zenon_H84 zenon_H127 zenon_H118 zenon_H116 zenon_Hb zenon_Hc7 zenon_Hb5 zenon_Hb4 zenon_Hb3 zenon_H8c zenon_H8a zenon_Ha zenon_H1cf zenon_H1cd zenon_H1d0. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H2b | zenon_intro zenon_H85 ]. % 0.61/0.83 apply (zenon_L95_); trivial. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H7d | zenon_intro zenon_H81 ]. % 0.61/0.83 apply (zenon_L87_); trivial. % 0.61/0.83 apply (zenon_L317_); trivial. % 0.61/0.83 (* end of lemma zenon_L318_ *) % 0.61/0.83 assert (zenon_L319_ : ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a153)) -> (c2_1 (a153)) -> (forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (~(c0_1 (a153))) -> (c3_1 (a132)) -> (~(c2_1 (a132))) -> (forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp1)\/(hskp3))) -> (c0_1 (a142)) -> (c3_1 (a142)) -> (~(c1_1 (a142))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp3)) -> False). % 0.61/0.83 do 0 intro. intros zenon_H84 zenon_H1c zenon_H1b zenon_H43 zenon_H1a zenon_H118 zenon_H116 zenon_Hb zenon_Hdc zenon_H8b zenon_H8c zenon_H8a zenon_Ha zenon_Hda zenon_H4d. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H2b | zenon_intro zenon_H85 ]. % 0.61/0.83 apply (zenon_L184_); trivial. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H7d | zenon_intro zenon_H81 ]. % 0.61/0.83 apply (zenon_L87_); trivial. % 0.61/0.83 apply (zenon_L155_); trivial. % 0.61/0.83 (* end of lemma zenon_L319_ *) % 0.61/0.83 assert (zenon_L320_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a123)) -> (~(c1_1 (a123))) -> (~(c0_1 (a123))) -> (c2_1 (a122)) -> (c0_1 (a122)) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c2_1 (a134)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((~(c1_1 X21))\/(~(c2_1 X21)))))))) -> (~(c0_1 (a132))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a153)) -> (c2_1 (a153)) -> (~(c0_1 (a153))) -> (c3_1 (a132)) -> (~(c2_1 (a132))) -> (forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp1)\/(hskp3))) -> (c0_1 (a142)) -> (c3_1 (a142)) -> (~(c1_1 (a142))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp3)) -> False). % 0.61/0.83 do 0 intro. intros zenon_H1f5 zenon_H253 zenon_H252 zenon_H251 zenon_H1d0 zenon_H1cf zenon_Hb3 zenon_Hb4 zenon_Hb5 zenon_Hc7 zenon_H127 zenon_H84 zenon_H1c zenon_H1b zenon_H1a zenon_H118 zenon_H116 zenon_Hb zenon_Hdc zenon_H8b zenon_H8c zenon_H8a zenon_Ha zenon_Hda zenon_H4d. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H167 | zenon_intro zenon_H1f6 ]. % 0.61/0.83 apply (zenon_L274_); trivial. % 0.61/0.83 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H1cd | zenon_intro zenon_H43 ]. % 0.61/0.83 apply (zenon_L318_); trivial. % 0.61/0.83 apply (zenon_L319_); trivial. % 0.61/0.83 (* end of lemma zenon_L320_ *) % 0.61/0.83 assert (zenon_L321_ : ((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a131))) -> (~(c1_1 (a131))) -> (~(c0_1 (a131))) -> (~(c3_1 (a130))) -> (~(c1_1 (a130))) -> (~(c0_1 (a130))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a123)) -> (~(c1_1 (a123))) -> (~(c0_1 (a123))) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c2_1 (a134)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((~(c1_1 X21))\/(~(c2_1 X21)))))))) -> (~(c0_1 (a132))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a153)) -> (c2_1 (a153)) -> (~(c0_1 (a153))) -> (c3_1 (a132)) -> (~(c2_1 (a132))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp1)\/(hskp3))) -> (c0_1 (a142)) -> (c3_1 (a142)) -> (~(c1_1 (a142))) -> (~(hskp1)) -> (~(hskp3)) -> False). % 0.61/0.83 do 0 intro. intros zenon_H1f1 zenon_H284 zenon_He3 zenon_He2 zenon_He1 zenon_H27b zenon_H27a zenon_H279 zenon_H1f5 zenon_H253 zenon_H252 zenon_H251 zenon_Hb3 zenon_Hb4 zenon_Hb5 zenon_Hc7 zenon_H127 zenon_H84 zenon_H1c zenon_H1b zenon_H1a zenon_H118 zenon_H116 zenon_Hdc zenon_H8b zenon_H8c zenon_H8a zenon_Hda zenon_H4d. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_Ha. zenon_intro zenon_H1f2. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H1cf. zenon_intro zenon_H1f3. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d0. zenon_intro zenon_H1e8. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_He0 | zenon_intro zenon_H285 ]. % 0.61/0.84 apply (zenon_L70_); trivial. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H278 | zenon_intro zenon_Hb ]. % 0.61/0.84 apply (zenon_L311_); trivial. % 0.61/0.84 apply (zenon_L320_); trivial. % 0.61/0.84 (* end of lemma zenon_L321_ *) % 0.61/0.84 assert (zenon_L322_ : ((ndr1_0)/\((~(c0_1 (a131)))/\((~(c1_1 (a131)))/\(~(c2_1 (a131)))))) -> ((~(hskp7))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c2_1 (a132))))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a134))/\((~(c0_1 (a134)))/\(~(c3_1 (a134))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X21 : zenon_U, ((ndr1_0)->((~(c0_1 X21))\/((~(c1_1 X21))\/(~(c2_1 X21)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp27))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((hskp3)\/(hskp15))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c0_1 Z)\/((c2_1 Z)\/(~(c3_1 Z)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((hskp28)\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp17)\/(hskp13))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp3)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> (~(c0_1 (a130))) -> (~(c1_1 (a130))) -> (~(c3_1 (a130))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a143))/\((c3_1 (a143))/\(~(c1_1 (a143))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/((hskp19)\/(hskp17))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp22)\/(hskp7))) -> ((hskp12)\/((hskp19)\/(hskp13))) -> (~(c0_1 (a123))) -> (~(c1_1 (a123))) -> (c2_1 (a123)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp1)\/(hskp3))) -> (~(hskp3)) -> (~(hskp1)) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142))))))) -> False). % 0.61/0.84 do 0 intro. intros zenon_Hef zenon_H183 zenon_H14a zenon_H89 zenon_H1f4 zenon_Hc7 zenon_H1f5 zenon_H1cb zenon_H7b zenon_H1c7 zenon_H5d zenon_H124 zenon_H50 zenon_H64 zenon_H279 zenon_H27a zenon_H27b zenon_H84 zenon_H284 zenon_Haf zenon_H143 zenon_H184 zenon_H1c5 zenon_H187 zenon_H7 zenon_H251 zenon_H252 zenon_H253 zenon_Hdc zenon_H4d zenon_Hda zenon_H16d zenon_H185 zenon_H95 zenon_Hae. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Ha. zenon_intro zenon_Hf0. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He1. zenon_intro zenon_Hf1. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_He2. zenon_intro zenon_He3. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H149 ]. % 0.61/0.84 apply (zenon_L282_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_Ha. zenon_intro zenon_H14c. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H118. zenon_intro zenon_H14d. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H127. zenon_intro zenon_H116. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H41 | zenon_intro zenon_Hce ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha8 ]. % 0.61/0.84 apply (zenon_L283_); trivial. % 0.61/0.84 apply (zenon_L315_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Ha. zenon_intro zenon_Hcf. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hb5. zenon_intro zenon_Hd0. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_Hb3. zenon_intro zenon_Hb4. % 0.61/0.84 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.84 apply (zenon_L316_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H8b. zenon_intro zenon_Had. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H15 | zenon_intro zenon_H86 ]. % 0.61/0.84 apply (zenon_L39_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_Ha. zenon_intro zenon_H87. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H1b. zenon_intro zenon_H88. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H1c. zenon_intro zenon_H1a. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H1f1 ]. % 0.61/0.84 apply (zenon_L169_); trivial. % 0.61/0.84 apply (zenon_L321_); trivial. % 0.61/0.84 (* end of lemma zenon_L322_ *) % 0.61/0.84 assert (zenon_L323_ : ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((hskp21)\/(hskp6))) -> (c3_1 (a142)) -> (c0_1 (a142)) -> (~(c1_1 (a142))) -> (ndr1_0) -> (~(hskp21)) -> (~(hskp6)) -> False). % 0.61/0.84 do 0 intro. intros zenon_H286 zenon_H8c zenon_H8b zenon_H8a zenon_Ha zenon_H25a zenon_H3b. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H6c | zenon_intro zenon_H287 ]. % 0.61/0.84 apply (zenon_L38_); trivial. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H25b | zenon_intro zenon_H3c ]. % 0.61/0.84 exact (zenon_H25a zenon_H25b). % 0.61/0.84 exact (zenon_H3b zenon_H3c). % 0.61/0.84 (* end of lemma zenon_L323_ *) % 0.61/0.84 assert (zenon_L324_ : ((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a170))/\((c2_1 (a170))/\(~(c1_1 (a170))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/(hskp6))) -> (c2_1 (a123)) -> (~(c1_1 (a123))) -> (~(c0_1 (a123))) -> (~(hskp6)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((hskp21)\/(hskp6))) -> (~(hskp3)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((hskp3)\/(hskp15))) -> False). % 0.61/0.84 do 0 intro. intros zenon_Hab zenon_H89 zenon_H267 zenon_H1f5 zenon_H93 zenon_H253 zenon_H252 zenon_H251 zenon_H3b zenon_H286 zenon_H4d zenon_H7b. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H8b. zenon_intro zenon_Had. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H15 | zenon_intro zenon_H86 ]. % 0.61/0.84 apply (zenon_L39_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_Ha. zenon_intro zenon_H87. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H1b. zenon_intro zenon_H88. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H1c. zenon_intro zenon_H1a. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H25a | zenon_intro zenon_H268 ]. % 0.61/0.84 apply (zenon_L323_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H268). zenon_intro zenon_Ha. zenon_intro zenon_H269. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H269). zenon_intro zenon_H25f. zenon_intro zenon_H26a. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H26a). zenon_intro zenon_H260. zenon_intro zenon_H25e. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H167 | zenon_intro zenon_H1f6 ]. % 0.61/0.84 apply (zenon_L274_); trivial. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H1cd | zenon_intro zenon_H43 ]. % 0.61/0.84 apply (zenon_L286_); trivial. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H2b | zenon_intro zenon_H94 ]. % 0.61/0.84 apply (zenon_L184_); trivial. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H6c | zenon_intro zenon_H3c ]. % 0.61/0.84 apply (zenon_L38_); trivial. % 0.61/0.84 exact (zenon_H3b zenon_H3c). % 0.61/0.84 (* end of lemma zenon_L324_ *) % 0.61/0.84 assert (zenon_L325_ : ((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(~(c3_1 (a128)))))) -> ((~(hskp6))\/((ndr1_0)/\((~(c0_1 (a131)))/\((~(c1_1 (a131)))/\(~(c2_1 (a131))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153))))))) -> ((~(hskp21))\/((ndr1_0)/\((c0_1 (a170))/\((c2_1 (a170))/\(~(c1_1 (a170))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/(hskp6))) -> (c2_1 (a123)) -> (~(c1_1 (a123))) -> (~(c0_1 (a123))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((hskp21)\/(hskp6))) -> (~(hskp3)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((hskp3)\/(hskp15))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/((hskp12)\/(hskp11))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(c3_1 X79)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> ((~(hskp11))\/((ndr1_0)/\((~(c1_1 (a141)))/\((~(c2_1 (a141)))/\(~(c3_1 (a141))))))) -> False). % 0.61/0.84 do 0 intro. intros zenon_H220 zenon_Hee zenon_H21c zenon_Hda zenon_Hae zenon_H89 zenon_H267 zenon_H1f5 zenon_H93 zenon_H253 zenon_H252 zenon_H251 zenon_H286 zenon_H4d zenon_H7b zenon_H20a zenon_H216 zenon_H218. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_Ha. zenon_intro zenon_H221. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H200. zenon_intro zenon_H222. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H201. zenon_intro zenon_H1ff. % 0.61/0.84 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H3b | zenon_intro zenon_Hef ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H208 | zenon_intro zenon_H219 ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.84 apply (zenon_L189_); trivial. % 0.61/0.84 apply (zenon_L324_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Ha. zenon_intro zenon_H21a. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H20d. zenon_intro zenon_H21b. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H20e. zenon_intro zenon_H20f. % 0.61/0.84 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.84 apply (zenon_L191_); trivial. % 0.61/0.84 apply (zenon_L324_); trivial. % 0.61/0.84 apply (zenon_L193_); trivial. % 0.61/0.84 (* end of lemma zenon_L325_ *) % 0.61/0.84 assert (zenon_L326_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(hskp4))) -> (c2_1 (a123)) -> (~(c1_1 (a123))) -> (~(c0_1 (a123))) -> (~(hskp6)) -> (~(hskp25)) -> (ndr1_0) -> (~(c2_1 (a164))) -> (c1_1 (a164)) -> (c3_1 (a164)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6))) -> (~(hskp4)) -> False). % 0.61/0.84 do 0 intro. intros zenon_H185 zenon_H253 zenon_H252 zenon_H251 zenon_H3b zenon_H39 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H3d zenon_H16d. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H167 | zenon_intro zenon_H186 ]. % 0.61/0.84 apply (zenon_L274_); trivial. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H16e ]. % 0.61/0.84 apply (zenon_L195_); trivial. % 0.61/0.84 exact (zenon_H16d zenon_H16e). % 0.61/0.84 (* end of lemma zenon_L326_ *) % 0.61/0.84 assert (zenon_L327_ : ((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(hskp4))) -> (c2_1 (a123)) -> (~(c1_1 (a123))) -> (~(c0_1 (a123))) -> (c3_1 (a164)) -> (c1_1 (a164)) -> (~(c2_1 (a164))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (c3_1 (a143)) -> (c2_1 (a143)) -> (~(c1_1 (a143))) -> (c1_1 (a138)) -> (c0_1 (a138)) -> (~(c2_1 (a138))) -> (~(hskp7)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (~(hskp4)) -> False). % 0.61/0.84 do 0 intro. intros zenon_H17e zenon_H185 zenon_H253 zenon_H252 zenon_H251 zenon_He zenon_Hd zenon_Hc zenon_Ha7 zenon_H6f zenon_H6e zenon_H6d zenon_H9c zenon_H9b zenon_H9a zenon_Ha3 zenon_H17c zenon_H16d. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_Ha. zenon_intro zenon_H180. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H172. zenon_intro zenon_H181. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H167 | zenon_intro zenon_H186 ]. % 0.61/0.84 apply (zenon_L274_); trivial. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H16e ]. % 0.61/0.84 apply (zenon_L253_); trivial. % 0.61/0.84 exact (zenon_H16d zenon_H16e). % 0.61/0.84 (* end of lemma zenon_L327_ *) % 0.61/0.84 assert (zenon_L328_ : ((ndr1_0)/\((c2_1 (a143))/\((c3_1 (a143))/\(~(c1_1 (a143)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/((hskp19)\/(hskp17))) -> (~(hskp7)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp22)\/(hskp7))) -> (~(c0_1 (a123))) -> (~(c1_1 (a123))) -> (c2_1 (a123)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (~(c2_1 (a138))) -> (c0_1 (a138)) -> (c1_1 (a138)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> False). % 0.61/0.84 do 0 intro. intros zenon_Ha8 zenon_H143 zenon_H184 zenon_H1c5 zenon_Ha3 zenon_H187 zenon_H251 zenon_H252 zenon_H253 zenon_H17c zenon_H9a zenon_H9b zenon_H9c zenon_Ha7 zenon_H16d zenon_H185 zenon_H95. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H6e. zenon_intro zenon_Haa. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H122 | zenon_intro zenon_H136 ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H96 ]. % 0.61/0.84 apply (zenon_L277_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_Ha. zenon_intro zenon_H97. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_Hd. zenon_intro zenon_H98. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H164 | zenon_intro zenon_H17e ]. % 0.61/0.84 apply (zenon_L135_); trivial. % 0.61/0.84 apply (zenon_L327_); trivial. % 0.61/0.84 apply (zenon_L279_); trivial. % 0.61/0.84 (* end of lemma zenon_L328_ *) % 0.61/0.84 assert (zenon_L329_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155))))))) -> ((hskp12)\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (~(hskp12)) -> (~(c0_1 (a123))) -> (~(c1_1 (a123))) -> (c2_1 (a123)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a127)) -> (~(c3_1 (a127))) -> (~(c2_1 (a127))) -> (~(c2_1 (a132))) -> (c3_1 (a132)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp17)\/(hskp13))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> False). % 0.61/0.84 do 0 intro. intros zenon_H143 zenon_H7 zenon_H5 zenon_H1 zenon_H251 zenon_H252 zenon_H253 zenon_Hfc zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H116 zenon_H118 zenon_H124 zenon_H16d zenon_H185 zenon_H95. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H122 | zenon_intro zenon_H136 ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H96 ]. % 0.61/0.84 apply (zenon_L4_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_Ha. zenon_intro zenon_H97. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_Hd. zenon_intro zenon_H98. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H167 | zenon_intro zenon_H186 ]. % 0.61/0.84 apply (zenon_L274_); trivial. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H16e ]. % 0.61/0.84 apply (zenon_L90_); trivial. % 0.61/0.84 exact (zenon_H16d zenon_H16e). % 0.61/0.84 apply (zenon_L279_); trivial. % 0.61/0.84 (* end of lemma zenon_L329_ *) % 0.61/0.84 assert (zenon_L330_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a179))) -> (c2_1 (a179)) -> (~(c1_1 (a179))) -> (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16)))))) -> (c1_1 (a127)) -> (~(c3_1 (a127))) -> (~(c2_1 (a127))) -> (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26)))))) -> (ndr1_0) -> (~(c2_1 (a132))) -> (c3_1 (a132)) -> False). % 0.61/0.84 do 0 intro. intros zenon_H147 zenon_H18e zenon_H18f zenon_H18d zenon_H1cd zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H7d zenon_Ha zenon_H116 zenon_H118. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H148 ]. % 0.61/0.84 apply (zenon_L299_); trivial. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hb ]. % 0.61/0.84 apply (zenon_L74_); trivial. % 0.61/0.84 apply (zenon_L87_); trivial. % 0.61/0.84 (* end of lemma zenon_L330_ *) % 0.61/0.84 assert (zenon_L331_ : ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a179))) -> (c2_1 (a179)) -> (~(c1_1 (a179))) -> (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16)))))) -> (c1_1 (a127)) -> (~(c3_1 (a127))) -> (~(c2_1 (a127))) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22)))))) -> (ndr1_0) -> (~(c0_1 (a132))) -> (~(c2_1 (a132))) -> (c3_1 (a132)) -> False). % 0.61/0.84 do 0 intro. intros zenon_H147 zenon_H18e zenon_H18f zenon_H18d zenon_H1cd zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H2b zenon_Ha zenon_H127 zenon_H116 zenon_H118. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H148 ]. % 0.61/0.84 apply (zenon_L299_); trivial. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_Hf2 | zenon_intro zenon_Hb ]. % 0.61/0.84 apply (zenon_L74_); trivial. % 0.61/0.84 apply (zenon_L95_); trivial. % 0.61/0.84 (* end of lemma zenon_L331_ *) % 0.61/0.84 assert (zenon_L332_ : ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a127)) -> (~(c3_1 (a127))) -> (~(c2_1 (a127))) -> (ndr1_0) -> (forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (~(c1_1 (a142))) -> (c3_1 (a142)) -> (c0_1 (a142)) -> False). % 0.61/0.84 do 0 intro. intros zenon_Hfc zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_Ha zenon_H81 zenon_H8a zenon_H8c zenon_H8b. % 0.61/0.84 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H7d | zenon_intro zenon_Hfd ]. % 0.61/0.84 apply (zenon_L266_); trivial. % 0.61/0.84 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H29 ]. % 0.61/0.84 apply (zenon_L74_); trivial. % 0.61/0.84 apply (zenon_L154_); trivial. % 0.61/0.84 (* end of lemma zenon_L332_ *) % 0.61/0.84 assert (zenon_L333_ : ((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a123)) -> (~(c1_1 (a123))) -> (~(c0_1 (a123))) -> (c0_1 (a142)) -> (c3_1 (a142)) -> (~(c1_1 (a142))) -> (~(c2_1 (a127))) -> (~(c3_1 (a127))) -> (c1_1 (a127)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a179))) -> (c2_1 (a179)) -> (~(c1_1 (a179))) -> (~(c2_1 (a132))) -> (c3_1 (a132)) -> (~(c0_1 (a132))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> False). % 0.61/0.84 do 0 intro. intros zenon_H4f zenon_H1f5 zenon_H253 zenon_H252 zenon_H251 zenon_H8b zenon_H8c zenon_H8a zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_Hfc zenon_H147 zenon_H18e zenon_H18f zenon_H18d zenon_H116 zenon_H118 zenon_H127 zenon_H84. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_Ha. zenon_intro zenon_H51. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H44. zenon_intro zenon_H52. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H45. zenon_intro zenon_H46. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H167 | zenon_intro zenon_H1f6 ]. % 0.61/0.84 apply (zenon_L274_); trivial. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H1cd | zenon_intro zenon_H43 ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H2b | zenon_intro zenon_H85 ]. % 0.61/0.84 apply (zenon_L331_); trivial. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H7d | zenon_intro zenon_H81 ]. % 0.61/0.84 apply (zenon_L330_); trivial. % 0.61/0.84 apply (zenon_L332_); trivial. % 0.61/0.84 apply (zenon_L19_); trivial. % 0.61/0.84 (* end of lemma zenon_L333_ *) % 0.61/0.84 assert (zenon_L334_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40)))))))) -> (c0_1 (a142)) -> (c1_1 (a127)) -> (~(c3_1 (a127))) -> (~(c2_1 (a127))) -> (ndr1_0) -> (~(c1_1 (a142))) -> (c3_1 (a142)) -> (~(hskp8)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp8)\/(hskp23))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((hskp28)\/(hskp8))) -> (~(c0_1 (a132))) -> (~(c2_1 (a132))) -> (c3_1 (a132)) -> (~(hskp13)) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp17)\/(hskp13))) -> (~(c0_1 (a123))) -> (~(c1_1 (a123))) -> (c2_1 (a123)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a179))/\((~(c1_1 (a179)))/\(~(c3_1 (a179))))))) -> False). % 0.61/0.84 do 0 intro. intros zenon_H143 zenon_H185 zenon_H16d zenon_Hfc zenon_H8b zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_Ha zenon_H8a zenon_H8c zenon_H41 zenon_H18b zenon_H5d zenon_H127 zenon_H116 zenon_H118 zenon_H5 zenon_H124 zenon_H251 zenon_H252 zenon_H253 zenon_H84 zenon_H147 zenon_H1f5 zenon_H64 zenon_H1a8. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H122 | zenon_intro zenon_H136 ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H189 | zenon_intro zenon_H1aa ]. % 0.61/0.84 apply (zenon_L268_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha. zenon_intro zenon_H1ab. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H18f. zenon_intro zenon_H1ac. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H3f | zenon_intro zenon_H4f ]. % 0.61/0.84 apply (zenon_L119_); trivial. % 0.61/0.84 apply (zenon_L333_); trivial. % 0.61/0.84 apply (zenon_L279_); trivial. % 0.61/0.84 (* end of lemma zenon_L334_ *) % 0.61/0.84 assert (zenon_L335_ : ((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a132))) -> (c3_1 (a132)) -> (~(c2_1 (a132))) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c2_1 (a134)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a127)) -> (~(c3_1 (a127))) -> (~(c2_1 (a127))) -> False). % 0.61/0.84 do 0 intro. intros zenon_Hab zenon_H84 zenon_H127 zenon_H118 zenon_H116 zenon_Hb3 zenon_Hb4 zenon_Hb5 zenon_H147 zenon_Hfc zenon_Hf5 zenon_Hf4 zenon_Hf3. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H8b. zenon_intro zenon_Had. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H2b | zenon_intro zenon_H85 ]. % 0.61/0.84 apply (zenon_L110_); trivial. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H7d | zenon_intro zenon_H81 ]. % 0.61/0.84 apply (zenon_L111_); trivial. % 0.61/0.84 apply (zenon_L332_); trivial. % 0.61/0.84 (* end of lemma zenon_L335_ *) % 0.61/0.84 assert (zenon_L336_ : ((ndr1_0)/\((c2_1 (a134))/\((~(c0_1 (a134)))/\(~(c3_1 (a134)))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(hskp4))) -> (~(hskp4)) -> (~(c2_1 (a127))) -> (~(c3_1 (a127))) -> (c1_1 (a127)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40)))))))) -> (c3_1 (a132)) -> (~(c2_1 (a132))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a123)) -> (~(c1_1 (a123))) -> (~(c0_1 (a123))) -> ((hskp12)\/((hskp19)\/(hskp13))) -> (~(c0_1 (a132))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a143))/\((c3_1 (a143))/\(~(c1_1 (a143))))))) -> False). % 0.61/0.84 do 0 intro. intros zenon_Hce zenon_Hae zenon_H95 zenon_H185 zenon_H16d zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_Hfc zenon_H118 zenon_H116 zenon_H147 zenon_H253 zenon_H252 zenon_H251 zenon_H7 zenon_H127 zenon_H84 zenon_Haf. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Ha. zenon_intro zenon_Hcf. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hb5. zenon_intro zenon_Hd0. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_Hb3. zenon_intro zenon_Hb4. % 0.61/0.84 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha8 ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H96 ]. % 0.61/0.84 apply (zenon_L4_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_Ha. zenon_intro zenon_H97. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_Hd. zenon_intro zenon_H98. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H167 | zenon_intro zenon_H186 ]. % 0.61/0.84 apply (zenon_L274_); trivial. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H16e ]. % 0.61/0.84 apply (zenon_L109_); trivial. % 0.61/0.84 exact (zenon_H16d zenon_H16e). % 0.61/0.84 apply (zenon_L112_); trivial. % 0.61/0.84 apply (zenon_L335_); trivial. % 0.61/0.84 (* end of lemma zenon_L336_ *) % 0.61/0.84 assert (zenon_L337_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp28))) -> (c1_1 (a155)) -> (~(c2_1 (a155))) -> (~(c0_1 (a155))) -> (c1_1 (a128)) -> (c0_1 (a128)) -> (~(c3_1 (a128))) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.61/0.84 do 0 intro. intros zenon_H242 zenon_H12f zenon_H12e zenon_H12d zenon_H201 zenon_H200 zenon_H1ff zenon_Ha zenon_H3f. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H243 ]. % 0.61/0.84 apply (zenon_L93_); trivial. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1fe | zenon_intro zenon_H40 ]. % 0.61/0.84 apply (zenon_L187_); trivial. % 0.61/0.84 exact (zenon_H3f zenon_H40). % 0.61/0.84 (* end of lemma zenon_L337_ *) % 0.61/0.84 assert (zenon_L338_ : ((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a123)) -> (~(c1_1 (a123))) -> (~(c0_1 (a123))) -> (~(hskp6)) -> (~(c1_1 (a142))) -> (c0_1 (a142)) -> (c3_1 (a142)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a179))) -> (c2_1 (a179)) -> (~(c1_1 (a179))) -> (c1_1 (a127)) -> (~(c3_1 (a127))) -> (~(c2_1 (a127))) -> (~(c0_1 (a132))) -> (~(c2_1 (a132))) -> (c3_1 (a132)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/(hskp6))) -> False). % 0.61/0.84 do 0 intro. intros zenon_H4f zenon_H1f5 zenon_H253 zenon_H252 zenon_H251 zenon_H3b zenon_H8a zenon_H8b zenon_H8c zenon_H147 zenon_H18e zenon_H18f zenon_H18d zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H127 zenon_H116 zenon_H118 zenon_H93. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_Ha. zenon_intro zenon_H51. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H44. zenon_intro zenon_H52. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H45. zenon_intro zenon_H46. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H167 | zenon_intro zenon_H1f6 ]. % 0.61/0.84 apply (zenon_L274_); trivial. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H1cd | zenon_intro zenon_H43 ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H2b | zenon_intro zenon_H94 ]. % 0.61/0.84 apply (zenon_L331_); trivial. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H6c | zenon_intro zenon_H3c ]. % 0.61/0.84 apply (zenon_L38_); trivial. % 0.61/0.84 exact (zenon_H3b zenon_H3c). % 0.61/0.84 apply (zenon_L19_); trivial. % 0.61/0.84 (* end of lemma zenon_L338_ *) % 0.61/0.84 assert (zenon_L339_ : ((ndr1_0)/\((c2_1 (a179))/\((~(c1_1 (a179)))/\(~(c3_1 (a179)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a132)) -> (~(c2_1 (a132))) -> (~(c0_1 (a132))) -> (c1_1 (a127)) -> (~(c3_1 (a127))) -> (~(c2_1 (a127))) -> (~(c1_1 (a142))) -> (c0_1 (a142)) -> (c3_1 (a142)) -> (~(hskp6)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/(hskp6))) -> (c2_1 (a123)) -> (~(c1_1 (a123))) -> (~(c0_1 (a123))) -> (~(c0_1 (a155))) -> (~(c2_1 (a155))) -> (c1_1 (a155)) -> (~(c3_1 (a128))) -> (c0_1 (a128)) -> (c1_1 (a128)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp28))) -> False). % 0.61/0.84 do 0 intro. intros zenon_H1aa zenon_H64 zenon_H1f5 zenon_H147 zenon_H118 zenon_H116 zenon_H127 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H8a zenon_H8b zenon_H8c zenon_H3b zenon_H93 zenon_H253 zenon_H252 zenon_H251 zenon_H12d zenon_H12e zenon_H12f zenon_H1ff zenon_H200 zenon_H201 zenon_H242. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha. zenon_intro zenon_H1ab. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H18f. zenon_intro zenon_H1ac. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H3f | zenon_intro zenon_H4f ]. % 0.61/0.84 apply (zenon_L337_); trivial. % 0.61/0.84 apply (zenon_L338_); trivial. % 0.61/0.84 (* end of lemma zenon_L339_ *) % 0.61/0.84 assert (zenon_L340_ : ((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a143))/\((c3_1 (a143))/\(~(c1_1 (a143))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp17)\/(hskp24))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(c3_1 X33)))))\/((forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((~(c0_1 (a182)))/\((~(c2_1 (a182)))/\(~(c3_1 (a182))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp17)\/(hskp13))) -> (~(c0_1 (a132))) -> (~(c2_1 (a132))) -> (c3_1 (a132)) -> (~(hskp6)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/(hskp6))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a127)) -> (~(c3_1 (a127))) -> (~(c2_1 (a127))) -> (~(hskp8)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp8)\/(hskp23))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp28))) -> (c1_1 (a128)) -> (c0_1 (a128)) -> (~(c3_1 (a128))) -> (~(c0_1 (a123))) -> (~(c1_1 (a123))) -> (c2_1 (a123)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a179))/\((~(c1_1 (a179)))/\(~(c3_1 (a179))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155))))))) -> False). % 0.61/0.84 do 0 intro. intros zenon_Hab zenon_Haf zenon_H13c zenon_H141 zenon_H111 zenon_H124 zenon_H127 zenon_H116 zenon_H118 zenon_H3b zenon_H93 zenon_Hfc zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H41 zenon_H18b zenon_H242 zenon_H201 zenon_H200 zenon_H1ff zenon_H251 zenon_H252 zenon_H253 zenon_H147 zenon_H1f5 zenon_H64 zenon_H1a8 zenon_H143. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H8b. zenon_intro zenon_Had. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 0.61/0.84 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha8 ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H122 | zenon_intro zenon_H136 ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_Hb | zenon_intro zenon_H125 ]. % 0.61/0.84 apply (zenon_L102_); trivial. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H123 | zenon_intro zenon_H6 ]. % 0.61/0.84 exact (zenon_H122 zenon_H123). % 0.61/0.84 exact (zenon_H5 zenon_H6). % 0.61/0.84 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Ha. zenon_intro zenon_H137. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H12f. zenon_intro zenon_H138. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H189 | zenon_intro zenon_H1aa ]. % 0.61/0.84 apply (zenon_L268_); trivial. % 0.61/0.84 apply (zenon_L339_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H6e. zenon_intro zenon_Haa. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H122 | zenon_intro zenon_H136 ]. % 0.61/0.84 apply (zenon_L265_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Ha. zenon_intro zenon_H137. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H12f. zenon_intro zenon_H138. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H189 | zenon_intro zenon_H1aa ]. % 0.61/0.84 apply (zenon_L137_); trivial. % 0.61/0.84 apply (zenon_L339_); trivial. % 0.61/0.84 (* end of lemma zenon_L340_ *) % 0.61/0.84 assert (zenon_L341_ : ((ndr1_0)/\((c1_1 (a127))/\((~(c2_1 (a127)))/\(~(c3_1 (a127)))))) -> ((~(hskp4))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(~(c3_1 (a128))))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c1_1 (a141)))/\((~(c2_1 (a141)))/\(~(c3_1 (a141))))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(c3_1 X79)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/((hskp12)\/(hskp11))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp28))) -> ((~(hskp7))\/((ndr1_0)/\((c3_1 (a132))/\((~(c0_1 (a132)))/\(~(c2_1 (a132))))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a134))/\((~(c0_1 (a134)))/\(~(c3_1 (a134))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp8)\/(hskp23))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp17)\/(hskp24))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/(forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((hskp28)\/(hskp8))) -> ((forall X33 : zenon_U, ((ndr1_0)->((c0_1 X33)\/((c2_1 X33)\/(c3_1 X33)))))\/((forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34))))))\/(hskp8))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c0_1 (a182)))/\((~(c2_1 (a182)))/\(~(c3_1 (a182))))))) -> ((~(hskp23))\/((ndr1_0)/\((c2_1 (a179))/\((~(c1_1 (a179)))/\(~(c3_1 (a179))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c2_1 W)\/((~(c1_1 W))\/(~(c3_1 W))))))\/((hskp17)\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/(hskp6))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(hskp4))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp9))) -> (c2_1 (a123)) -> (~(c1_1 (a123))) -> (~(c0_1 (a123))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a143))/\((c3_1 (a143))/\(~(c1_1 (a143))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/((hskp19)\/(hskp17))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp22)\/(hskp7))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((hskp12)\/((hskp19)\/(hskp13))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c0_1 X31))\/(~(c1_1 X31))))))\/(hskp7))) -> ((~(hskp25))\/((ndr1_0)/\((c3_1 (a189))/\((~(c0_1 (a189)))/\(~(c1_1 (a189))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a138))/\((c1_1 (a138))/\(~(c2_1 (a138))))))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp1))) -> ((~(hskp6))\/((ndr1_0)/\((~(c0_1 (a131)))/\((~(c1_1 (a131)))/\(~(c2_1 (a131))))))) -> False). % 0.61/0.84 do 0 intro. intros zenon_H288 zenon_H289 zenon_H218 zenon_H216 zenon_H20a zenon_H242 zenon_H183 zenon_H14a zenon_H18b zenon_H13c zenon_H84 zenon_H5d zenon_H141 zenon_H147 zenon_H1f5 zenon_H64 zenon_H111 zenon_H1a8 zenon_H124 zenon_Hfc zenon_H93 zenon_H185 zenon_H21e zenon_H253 zenon_H252 zenon_H251 zenon_Haf zenon_H143 zenon_H184 zenon_H1c5 zenon_H187 zenon_H17c zenon_Ha7 zenon_H7 zenon_H3d zenon_Ha5 zenon_H67 zenon_H95 zenon_Hae zenon_H115 zenon_Hda zenon_H21c zenon_Hee. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_Ha. zenon_intro zenon_H28a. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_Hf5. zenon_intro zenon_H28b. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H16d | zenon_intro zenon_H220 ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H3b | zenon_intro zenon_Hef ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H149 ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H5f | zenon_intro zenon_H112 ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H167 | zenon_intro zenon_H186 ]. % 0.61/0.84 apply (zenon_L274_); trivial. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H16e ]. % 0.61/0.84 apply (zenon_L247_); trivial. % 0.61/0.84 exact (zenon_H16d zenon_H16e). % 0.61/0.84 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H9b. zenon_intro zenon_H114. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.61/0.84 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha8 ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H96 ]. % 0.61/0.84 apply (zenon_L4_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_Ha. zenon_intro zenon_H97. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_Hd. zenon_intro zenon_H98. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H39 | zenon_intro zenon_H63 ]. % 0.61/0.84 apply (zenon_L326_); trivial. % 0.61/0.84 apply (zenon_L47_); trivial. % 0.61/0.84 apply (zenon_L328_); trivial. % 0.61/0.84 apply (zenon_L52_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_Ha. zenon_intro zenon_H14c. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H118. zenon_intro zenon_H14d. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H127. zenon_intro zenon_H116. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H41 | zenon_intro zenon_Hce ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha8 ]. % 0.61/0.84 apply (zenon_L329_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H6e. zenon_intro zenon_Haa. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H122 | zenon_intro zenon_H136 ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H189 | zenon_intro zenon_H1aa ]. % 0.61/0.84 apply (zenon_L137_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha. zenon_intro zenon_H1ab. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H18f. zenon_intro zenon_H1ac. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfe | zenon_intro zenon_H10c ]. % 0.61/0.84 apply (zenon_L97_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Ha. zenon_intro zenon_H10e. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H10e). zenon_intro zenon_H103. zenon_intro zenon_H10f. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H10f). zenon_intro zenon_H104. zenon_intro zenon_H105. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H3f | zenon_intro zenon_H4f ]. % 0.61/0.84 apply (zenon_L298_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_Ha. zenon_intro zenon_H51. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H44. zenon_intro zenon_H52. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H45. zenon_intro zenon_H46. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H167 | zenon_intro zenon_H1f6 ]. % 0.61/0.84 apply (zenon_L274_); trivial. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H1cd | zenon_intro zenon_H43 ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H84); [ zenon_intro zenon_H2b | zenon_intro zenon_H85 ]. % 0.61/0.84 apply (zenon_L104_); trivial. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H85); [ zenon_intro zenon_H7d | zenon_intro zenon_H81 ]. % 0.61/0.84 apply (zenon_L330_); trivial. % 0.61/0.84 apply (zenon_L33_); trivial. % 0.61/0.84 apply (zenon_L19_); trivial. % 0.61/0.84 apply (zenon_L279_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H8b. zenon_intro zenon_Had. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 0.61/0.84 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha8 ]. % 0.61/0.84 apply (zenon_L334_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H6e. zenon_intro zenon_Haa. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H122 | zenon_intro zenon_H136 ]. % 0.61/0.84 apply (zenon_L265_); trivial. % 0.61/0.84 apply (zenon_L279_); trivial. % 0.61/0.84 apply (zenon_L336_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Ha. zenon_intro zenon_Hf0. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He1. zenon_intro zenon_Hf1. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_He2. zenon_intro zenon_He3. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_He0 | zenon_intro zenon_H21d ]. % 0.61/0.84 apply (zenon_L70_); trivial. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H1fe | zenon_intro zenon_Hdb ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H167 | zenon_intro zenon_H186 ]. % 0.61/0.84 apply (zenon_L274_); trivial. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H16e ]. % 0.61/0.84 apply (zenon_L246_); trivial. % 0.61/0.84 exact (zenon_H16d zenon_H16e). % 0.61/0.84 exact (zenon_Hda zenon_Hdb). % 0.61/0.84 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_Ha. zenon_intro zenon_H221. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H200. zenon_intro zenon_H222. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H201. zenon_intro zenon_H1ff. % 0.61/0.84 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H3b | zenon_intro zenon_Hef ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H149 ]. % 0.61/0.84 apply (zenon_L200_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_Ha. zenon_intro zenon_H14c. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H118. zenon_intro zenon_H14d. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H127. zenon_intro zenon_H116. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H41 | zenon_intro zenon_Hce ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H208 | zenon_intro zenon_H219 ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.84 apply (zenon_L189_); trivial. % 0.61/0.84 apply (zenon_L340_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Ha. zenon_intro zenon_H21a. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H20d. zenon_intro zenon_H21b. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H20e. zenon_intro zenon_H20f. % 0.61/0.84 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.84 apply (zenon_L191_); trivial. % 0.61/0.84 apply (zenon_L340_); trivial. % 0.61/0.84 apply (zenon_L201_); trivial. % 0.61/0.84 apply (zenon_L193_); trivial. % 0.61/0.84 (* end of lemma zenon_L341_ *) % 0.61/0.84 assert (zenon_L342_ : ((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(hskp4))) -> (c2_1 (a123)) -> (~(c1_1 (a123))) -> (~(c0_1 (a123))) -> (c3_1 (a164)) -> (c1_1 (a164)) -> (~(c2_1 (a164))) -> (~(c0_1 (a153))) -> (c2_1 (a153)) -> (c3_1 (a153)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (~(hskp4)) -> False). % 0.61/0.84 do 0 intro. intros zenon_H17e zenon_H185 zenon_H253 zenon_H252 zenon_H251 zenon_He zenon_Hd zenon_Hc zenon_H1a zenon_H1b zenon_H1c zenon_H17c zenon_H16d. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_Ha. zenon_intro zenon_H180. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H172. zenon_intro zenon_H181. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H167 | zenon_intro zenon_H186 ]. % 0.61/0.84 apply (zenon_L274_); trivial. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H16e ]. % 0.61/0.84 apply (zenon_L132_); trivial. % 0.61/0.84 exact (zenon_H16d zenon_H16e). % 0.61/0.84 (* end of lemma zenon_L342_ *) % 0.61/0.84 assert (zenon_L343_ : ((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(hskp4))) -> (~(hskp4)) -> (~(c0_1 (a153))) -> (c2_1 (a153)) -> (c3_1 (a153)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (c2_1 (a123)) -> (~(c1_1 (a123))) -> (~(c0_1 (a123))) -> (~(c3_1 (a124))) -> (c1_1 (a124)) -> (c2_1 (a124)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp22)) -> False). % 0.61/0.84 do 0 intro. intros zenon_H96 zenon_H184 zenon_H185 zenon_H16d zenon_H1a zenon_H1b zenon_H1c zenon_H17c zenon_H253 zenon_H252 zenon_H251 zenon_H225 zenon_H226 zenon_H230 zenon_H166. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_Ha. zenon_intro zenon_H97. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_Hd. zenon_intro zenon_H98. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H164 | zenon_intro zenon_H17e ]. % 0.61/0.84 apply (zenon_L209_); trivial. % 0.61/0.84 apply (zenon_L342_); trivial. % 0.61/0.84 (* end of lemma zenon_L343_ *) % 0.61/0.84 assert (zenon_L344_ : ((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/((hskp19)\/(hskp17))) -> (~(c3_1 (a124))) -> (c1_1 (a124)) -> (c2_1 (a124)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp22)) -> (~(c0_1 (a123))) -> (~(c1_1 (a123))) -> (c2_1 (a123)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> False). % 0.61/0.84 do 0 intro. intros zenon_H86 zenon_H143 zenon_H184 zenon_H1c5 zenon_H225 zenon_H226 zenon_H230 zenon_H166 zenon_H251 zenon_H252 zenon_H253 zenon_H17c zenon_H16d zenon_H185 zenon_H95. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_Ha. zenon_intro zenon_H87. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H1b. zenon_intro zenon_H88. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H1c. zenon_intro zenon_H1a. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H122 | zenon_intro zenon_H136 ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H96 ]. % 0.61/0.84 apply (zenon_L210_); trivial. % 0.61/0.84 apply (zenon_L343_); trivial. % 0.61/0.84 apply (zenon_L279_); trivial. % 0.61/0.84 (* end of lemma zenon_L344_ *) % 0.61/0.84 assert (zenon_L345_ : ((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/((hskp19)\/(hskp17))) -> (~(c3_1 (a124))) -> (c1_1 (a124)) -> (c2_1 (a124)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp22)) -> (~(c0_1 (a123))) -> (~(c1_1 (a123))) -> (c2_1 (a123)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> (~(hskp3)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((hskp3)\/(hskp15))) -> False). % 0.61/0.84 do 0 intro. intros zenon_Hab zenon_H89 zenon_H143 zenon_H184 zenon_H1c5 zenon_H225 zenon_H226 zenon_H230 zenon_H166 zenon_H251 zenon_H252 zenon_H253 zenon_H17c zenon_H16d zenon_H185 zenon_H95 zenon_H4d zenon_H7b. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H8b. zenon_intro zenon_Had. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H15 | zenon_intro zenon_H86 ]. % 0.61/0.84 apply (zenon_L39_); trivial. % 0.61/0.84 apply (zenon_L344_); trivial. % 0.61/0.84 (* end of lemma zenon_L345_ *) % 0.61/0.84 assert (zenon_L346_ : ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (~(hskp15)) -> (~(hskp3)) -> (~(c1_1 (a143))) -> (c2_1 (a143)) -> (c3_1 (a143)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((hskp3)\/(hskp15))) -> (c0_1 (a176)) -> (~(c2_1 (a176))) -> (~(c1_1 (a176))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y)))))) -> (~(c2_1 (a164))) -> (c1_1 (a164)) -> (c3_1 (a164)) -> False). % 0.61/0.84 do 0 intro. intros zenon_H17c zenon_H15 zenon_H4d zenon_H6d zenon_H6e zenon_H6f zenon_H7b zenon_H172 zenon_H171 zenon_H170 zenon_Ha zenon_Hd1 zenon_Hc zenon_Hd zenon_He. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H19 | zenon_intro zenon_H17d ]. % 0.61/0.84 apply (zenon_L30_); trivial. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H16f | zenon_intro zenon_H179 ]. % 0.61/0.84 apply (zenon_L130_); trivial. % 0.61/0.84 apply (zenon_L131_); trivial. % 0.61/0.84 (* end of lemma zenon_L346_ *) % 0.61/0.84 assert (zenon_L347_ : ((ndr1_0)/\((c2_1 (a143))/\((c3_1 (a143))/\(~(c1_1 (a143)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(hskp4))) -> (~(hskp4)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((hskp3)\/(hskp15))) -> (~(hskp3)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (c2_1 (a123)) -> (~(c1_1 (a123))) -> (~(c0_1 (a123))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp22)) -> (c2_1 (a124)) -> (c1_1 (a124)) -> (~(c3_1 (a124))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/((hskp19)\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155))))))) -> False). % 0.61/0.84 do 0 intro. intros zenon_Ha8 zenon_H89 zenon_H95 zenon_H185 zenon_H16d zenon_H7b zenon_H4d zenon_H17c zenon_H253 zenon_H252 zenon_H251 zenon_H166 zenon_H230 zenon_H226 zenon_H225 zenon_H1c5 zenon_H184 zenon_H143. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H6e. zenon_intro zenon_Haa. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H15 | zenon_intro zenon_H86 ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H122 | zenon_intro zenon_H136 ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H96 ]. % 0.61/0.84 apply (zenon_L210_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_Ha. zenon_intro zenon_H97. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_Hd. zenon_intro zenon_H98. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H164 | zenon_intro zenon_H17e ]. % 0.61/0.84 apply (zenon_L209_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_Ha. zenon_intro zenon_H180. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H172. zenon_intro zenon_H181. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H167 | zenon_intro zenon_H186 ]. % 0.61/0.84 apply (zenon_L274_); trivial. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H16e ]. % 0.61/0.84 apply (zenon_L346_); trivial. % 0.61/0.84 exact (zenon_H16d zenon_H16e). % 0.61/0.84 apply (zenon_L279_); trivial. % 0.61/0.84 apply (zenon_L344_); trivial. % 0.61/0.84 (* end of lemma zenon_L347_ *) % 0.61/0.84 assert (zenon_L348_ : ((~(hskp11))\/((ndr1_0)/\((~(c1_1 (a141)))/\((~(c2_1 (a141)))/\(~(c3_1 (a141))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(hskp13))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(c3_1 X79)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a143))/\((c3_1 (a143))/\(~(c1_1 (a143))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/((hskp19)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp22)) -> (~(c0_1 (a123))) -> (~(c1_1 (a123))) -> (c2_1 (a123)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> ((hskp27)\/((hskp3)\/(hskp15))) -> (~(hskp3)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/((hskp12)\/(hskp11))) -> (c1_1 (a124)) -> (~(c3_1 (a124))) -> (c2_1 (a124)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((hskp3)\/(hskp15))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142))))))) -> False). % 0.61/0.84 do 0 intro. intros zenon_H218 zenon_H17f zenon_H216 zenon_Haf zenon_H89 zenon_H143 zenon_H184 zenon_H1c5 zenon_H166 zenon_H251 zenon_H252 zenon_H253 zenon_H17c zenon_H16d zenon_H185 zenon_H95 zenon_H223 zenon_H4d zenon_H20a zenon_H226 zenon_H225 zenon_H230 zenon_H1ed zenon_H1f4 zenon_H7b zenon_Hae. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H208 | zenon_intro zenon_H219 ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H15 | zenon_intro zenon_H86 ]. % 0.61/0.84 apply (zenon_L208_); trivial. % 0.61/0.84 apply (zenon_L344_); trivial. % 0.61/0.84 apply (zenon_L345_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Ha. zenon_intro zenon_H21a. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H20d. zenon_intro zenon_H21b. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H20e. zenon_intro zenon_H20f. % 0.61/0.84 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha8 ]. % 0.61/0.84 apply (zenon_L215_); trivial. % 0.61/0.84 apply (zenon_L347_); trivial. % 0.61/0.84 apply (zenon_L345_); trivial. % 0.61/0.84 (* end of lemma zenon_L348_ *) % 0.61/0.84 assert (zenon_L349_ : ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> (forall X19 : zenon_U, ((ndr1_0)->((c3_1 X19)\/((~(c0_1 X19))\/(~(c2_1 X19)))))) -> (c2_1 (a124)) -> (c1_1 (a124)) -> (~(c3_1 (a124))) -> (forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22)))))) -> (ndr1_0) -> (c2_1 (a143)) -> (c3_1 (a143)) -> (~(c1_1 (a143))) -> False). % 0.61/0.84 do 0 intro. intros zenon_H1ed zenon_H28c zenon_H230 zenon_H226 zenon_H225 zenon_H2b zenon_Ha zenon_H6e zenon_H6f zenon_H6d. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1ee ]. % 0.61/0.84 generalize (zenon_H28c (a124)). zenon_intro zenon_H28d. % 0.61/0.84 apply (zenon_imply_s _ _ zenon_H28d); [ zenon_intro zenon_H9 | zenon_intro zenon_H28e ]. % 0.61/0.84 exact (zenon_H9 zenon_Ha). % 0.61/0.84 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H22c | zenon_intro zenon_H28f ]. % 0.61/0.84 exact (zenon_H225 zenon_H22c). % 0.61/0.84 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H224 | zenon_intro zenon_H234 ]. % 0.61/0.84 apply (zenon_L204_); trivial. % 0.61/0.84 exact (zenon_H234 zenon_H230). % 0.61/0.84 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H15b | zenon_intro zenon_H13e ]. % 0.61/0.84 apply (zenon_L206_); trivial. % 0.61/0.84 apply (zenon_L103_); trivial. % 0.61/0.84 (* end of lemma zenon_L349_ *) % 0.61/0.84 assert (zenon_L350_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp28))) -> (c3_1 (a164)) -> (c1_1 (a164)) -> (~(c2_1 (a164))) -> (~(c1_1 (a176))) -> (~(c2_1 (a176))) -> (c0_1 (a176)) -> (~(c0_1 (a153))) -> (c2_1 (a153)) -> (c3_1 (a153)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (c1_1 (a128)) -> (c0_1 (a128)) -> (~(c3_1 (a128))) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.61/0.84 do 0 intro. intros zenon_H242 zenon_He zenon_Hd zenon_Hc zenon_H170 zenon_H171 zenon_H172 zenon_H1a zenon_H1b zenon_H1c zenon_H17c zenon_H201 zenon_H200 zenon_H1ff zenon_Ha zenon_H3f. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H243 ]. % 0.61/0.84 apply (zenon_L132_); trivial. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1fe | zenon_intro zenon_H40 ]. % 0.61/0.84 apply (zenon_L187_); trivial. % 0.61/0.84 exact (zenon_H3f zenon_H40). % 0.61/0.84 (* end of lemma zenon_L350_ *) % 0.61/0.84 assert (zenon_L351_ : (forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))) -> (ndr1_0) -> (c0_1 (a122)) -> (forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16)))))) -> (c2_1 (a122)) -> (c3_1 (a122)) -> False). % 0.61/0.84 do 0 intro. intros zenon_H179 zenon_Ha zenon_H1cf zenon_H1cd zenon_H1d0 zenon_H1e8. % 0.61/0.84 generalize (zenon_H179 (a122)). zenon_intro zenon_H290. % 0.61/0.84 apply (zenon_imply_s _ _ zenon_H290); [ zenon_intro zenon_H9 | zenon_intro zenon_H291 ]. % 0.61/0.84 exact (zenon_H9 zenon_Ha). % 0.61/0.84 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H292 ]. % 0.61/0.84 exact (zenon_H1d6 zenon_H1cf). % 0.61/0.84 apply (zenon_or_s _ _ zenon_H292); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1ec ]. % 0.61/0.84 apply (zenon_L171_); trivial. % 0.61/0.84 exact (zenon_H1ec zenon_H1e8). % 0.61/0.84 (* end of lemma zenon_L351_ *) % 0.61/0.84 assert (zenon_L352_ : ((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a123)) -> (~(c1_1 (a123))) -> (~(c0_1 (a123))) -> (c3_1 (a122)) -> (c2_1 (a122)) -> (c0_1 (a122)) -> (~(c1_1 (a176))) -> (~(c2_1 (a176))) -> (c0_1 (a176)) -> (~(c0_1 (a153))) -> (c2_1 (a153)) -> (c3_1 (a153)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> False). % 0.61/0.84 do 0 intro. intros zenon_H4f zenon_H1f5 zenon_H253 zenon_H252 zenon_H251 zenon_H1e8 zenon_H1d0 zenon_H1cf zenon_H170 zenon_H171 zenon_H172 zenon_H1a zenon_H1b zenon_H1c zenon_H17c. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_Ha. zenon_intro zenon_H51. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H44. zenon_intro zenon_H52. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H52). zenon_intro zenon_H45. zenon_intro zenon_H46. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H167 | zenon_intro zenon_H1f6 ]. % 0.61/0.84 apply (zenon_L274_); trivial. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H1f6); [ zenon_intro zenon_H1cd | zenon_intro zenon_H43 ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H19 | zenon_intro zenon_H17d ]. % 0.61/0.84 apply (zenon_L9_); trivial. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H16f | zenon_intro zenon_H179 ]. % 0.61/0.84 apply (zenon_L130_); trivial. % 0.61/0.84 apply (zenon_L351_); trivial. % 0.61/0.84 apply (zenon_L19_); trivial. % 0.61/0.84 (* end of lemma zenon_L352_ *) % 0.61/0.84 assert (zenon_L353_ : ((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (c2_1 (a123)) -> (~(c1_1 (a123))) -> (~(c0_1 (a123))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (c3_1 (a164)) -> (c1_1 (a164)) -> (~(c2_1 (a164))) -> (c0_1 (a176)) -> (~(c2_1 (a176))) -> (~(c1_1 (a176))) -> (c3_1 (a153)) -> (c2_1 (a153)) -> (~(c0_1 (a153))) -> (~(c3_1 (a128))) -> (c0_1 (a128)) -> (c1_1 (a128)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp28))) -> False). % 0.61/0.84 do 0 intro. intros zenon_H1f1 zenon_H64 zenon_H1f5 zenon_H253 zenon_H252 zenon_H251 zenon_H17c zenon_He zenon_Hd zenon_Hc zenon_H172 zenon_H171 zenon_H170 zenon_H1c zenon_H1b zenon_H1a zenon_H1ff zenon_H200 zenon_H201 zenon_H242. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_Ha. zenon_intro zenon_H1f2. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H1cf. zenon_intro zenon_H1f3. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d0. zenon_intro zenon_H1e8. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H3f | zenon_intro zenon_H4f ]. % 0.61/0.84 apply (zenon_L350_); trivial. % 0.61/0.84 apply (zenon_L352_); trivial. % 0.61/0.84 (* end of lemma zenon_L353_ *) % 0.61/0.84 assert (zenon_L354_ : ((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a153))) -> (c2_1 (a153)) -> (c3_1 (a153)) -> (~(c1_1 (a176))) -> (~(c2_1 (a176))) -> (c0_1 (a176)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (c2_1 (a123)) -> (~(c1_1 (a123))) -> (~(c0_1 (a123))) -> (~(c0_1 (a155))) -> (~(c2_1 (a155))) -> (c1_1 (a155)) -> (~(c3_1 (a128))) -> (c0_1 (a128)) -> (c1_1 (a128)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp28))) -> False). % 0.61/0.84 do 0 intro. intros zenon_H1f1 zenon_H64 zenon_H1f5 zenon_H1a zenon_H1b zenon_H1c zenon_H170 zenon_H171 zenon_H172 zenon_H17c zenon_H253 zenon_H252 zenon_H251 zenon_H12d zenon_H12e zenon_H12f zenon_H1ff zenon_H200 zenon_H201 zenon_H242. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_Ha. zenon_intro zenon_H1f2. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H1cf. zenon_intro zenon_H1f3. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d0. zenon_intro zenon_H1e8. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H3f | zenon_intro zenon_H4f ]. % 0.61/0.84 apply (zenon_L337_); trivial. % 0.61/0.84 apply (zenon_L352_); trivial. % 0.61/0.84 (* end of lemma zenon_L354_ *) % 0.61/0.84 assert (zenon_L355_ : ((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122)))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> (~(c0_1 (a153))) -> (c2_1 (a153)) -> (c3_1 (a153)) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (~(c3_1 (a128))) -> (c0_1 (a128)) -> (c1_1 (a128)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp28))) -> (~(c0_1 (a123))) -> (~(c1_1 (a123))) -> (c2_1 (a123)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))))) -> (c2_1 (a143)) -> (c3_1 (a143)) -> (~(c1_1 (a143))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c3_1 X19)\/((~(c0_1 X19))\/(~(c2_1 X19))))))\/(hskp27))) -> (~(c3_1 (a124))) -> (c1_1 (a124)) -> (c2_1 (a124)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp22)) -> False). % 0.61/0.84 do 0 intro. intros zenon_H136 zenon_H184 zenon_H1f4 zenon_H64 zenon_H1f5 zenon_H1a zenon_H1b zenon_H1c zenon_H17c zenon_H1ff zenon_H200 zenon_H201 zenon_H242 zenon_H251 zenon_H252 zenon_H253 zenon_H238 zenon_H6e zenon_H6f zenon_H6d zenon_H1ed zenon_H293 zenon_H225 zenon_H226 zenon_H230 zenon_H166. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Ha. zenon_intro zenon_H137. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H12f. zenon_intro zenon_H138. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H164 | zenon_intro zenon_H17e ]. % 0.61/0.84 apply (zenon_L209_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_Ha. zenon_intro zenon_H180. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H172. zenon_intro zenon_H181. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H1f1 ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H167 | zenon_intro zenon_H294 ]. % 0.61/0.84 apply (zenon_L274_); trivial. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H28c | zenon_intro zenon_H1ca ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H2b | zenon_intro zenon_H239 ]. % 0.61/0.84 apply (zenon_L349_); trivial. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H15b ]. % 0.61/0.84 apply (zenon_L93_); trivial. % 0.61/0.84 apply (zenon_L206_); trivial. % 0.61/0.84 exact (zenon_H1c9 zenon_H1ca). % 0.61/0.84 apply (zenon_L354_); trivial. % 0.61/0.84 (* end of lemma zenon_L355_ *) % 0.61/0.84 assert (zenon_L356_ : ((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a143))/\((c3_1 (a143))/\(~(c1_1 (a143))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X19 : zenon_U, ((ndr1_0)->((c3_1 X19)\/((~(c0_1 X19))\/(~(c2_1 X19))))))\/(hskp27))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))))) -> (c2_1 (a123)) -> (~(c1_1 (a123))) -> (~(c0_1 (a123))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp28))) -> (c1_1 (a128)) -> (c0_1 (a128)) -> (~(c3_1 (a128))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall X16 : zenon_U, ((ndr1_0)->((c1_1 X16)\/((~(c0_1 X16))\/(~(c2_1 X16))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122)))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c1_1 X29)\/((~(c0_1 X29))\/(~(c3_1 X29))))))\/((hskp3)\/(hskp15))) -> (~(hskp3)) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(hskp13))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp22)) -> (c2_1 (a124)) -> (c1_1 (a124)) -> (~(c3_1 (a124))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/((hskp19)\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a153))/\((c3_1 (a153))/\(~(c0_1 (a153))))))) -> False). % 0.61/0.84 do 0 intro. intros zenon_Hab zenon_Haf zenon_H293 zenon_H1ed zenon_H238 zenon_H253 zenon_H252 zenon_H251 zenon_H242 zenon_H201 zenon_H200 zenon_H1ff zenon_H1f5 zenon_H64 zenon_H1f4 zenon_H7b zenon_H4d zenon_H95 zenon_H17f zenon_H17c zenon_H166 zenon_H230 zenon_H226 zenon_H225 zenon_H1c5 zenon_H184 zenon_H143 zenon_H89. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H8b. zenon_intro zenon_Had. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 0.61/0.84 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha8 ]. % 0.61/0.84 apply (zenon_L221_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H6e. zenon_intro zenon_Haa. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H15 | zenon_intro zenon_H86 ]. % 0.61/0.84 apply (zenon_L39_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H86). zenon_intro zenon_Ha. zenon_intro zenon_H87. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H1b. zenon_intro zenon_H88. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H1c. zenon_intro zenon_H1a. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H122 | zenon_intro zenon_H136 ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H96 ]. % 0.61/0.84 apply (zenon_L210_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_Ha. zenon_intro zenon_H97. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_Hd. zenon_intro zenon_H98. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H164 | zenon_intro zenon_H17e ]. % 0.61/0.84 apply (zenon_L209_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_Ha. zenon_intro zenon_H180. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H172. zenon_intro zenon_H181. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H1f1 ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H293); [ zenon_intro zenon_H167 | zenon_intro zenon_H294 ]. % 0.61/0.84 apply (zenon_L274_); trivial. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H294); [ zenon_intro zenon_H28c | zenon_intro zenon_H1ca ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H2b | zenon_intro zenon_H239 ]. % 0.61/0.84 apply (zenon_L349_); trivial. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H15b ]. % 0.61/0.84 apply (zenon_L132_); trivial. % 0.61/0.84 apply (zenon_L206_); trivial. % 0.61/0.84 exact (zenon_H1c9 zenon_H1ca). % 0.61/0.84 apply (zenon_L353_); trivial. % 0.61/0.84 apply (zenon_L355_); trivial. % 0.61/0.84 (* end of lemma zenon_L356_ *) % 0.61/0.84 assert (zenon_L357_ : (forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9)))))) -> (ndr1_0) -> (~(c3_1 (a127))) -> (forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59)))))) -> (c1_1 (a127)) -> False). % 0.61/0.84 do 0 intro. intros zenon_H1fe zenon_Ha zenon_Hf4 zenon_H1e4 zenon_Hf5. % 0.61/0.84 generalize (zenon_H1fe (a127)). zenon_intro zenon_H24a. % 0.61/0.84 apply (zenon_imply_s _ _ zenon_H24a); [ zenon_intro zenon_H9 | zenon_intro zenon_H24b ]. % 0.61/0.84 exact (zenon_H9 zenon_Ha). % 0.61/0.84 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_Hfb | zenon_intro zenon_H24c ]. % 0.61/0.84 exact (zenon_Hf4 zenon_Hfb). % 0.61/0.84 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H24d | zenon_intro zenon_Hfa ]. % 0.61/0.84 generalize (zenon_H1e4 (a127)). zenon_intro zenon_H295. % 0.61/0.84 apply (zenon_imply_s _ _ zenon_H295); [ zenon_intro zenon_H9 | zenon_intro zenon_H296 ]. % 0.61/0.84 exact (zenon_H9 zenon_Ha). % 0.61/0.84 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H249 | zenon_intro zenon_Hf8 ]. % 0.61/0.84 exact (zenon_H24d zenon_H249). % 0.61/0.84 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hfa ]. % 0.61/0.84 exact (zenon_Hf4 zenon_Hfb). % 0.61/0.84 exact (zenon_Hfa zenon_Hf5). % 0.61/0.84 exact (zenon_Hfa zenon_Hf5). % 0.61/0.84 (* end of lemma zenon_L357_ *) % 0.61/0.84 assert (zenon_L358_ : ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/((hskp12)\/(hskp11))) -> (c1_1 (a127)) -> (forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59)))))) -> (~(c3_1 (a127))) -> (ndr1_0) -> (~(hskp12)) -> (~(hskp11)) -> False). % 0.61/0.84 do 0 intro. intros zenon_H20a zenon_Hf5 zenon_H1e4 zenon_Hf4 zenon_Ha zenon_H1 zenon_H208. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H1fe | zenon_intro zenon_H20b ]. % 0.61/0.84 apply (zenon_L357_); trivial. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H2 | zenon_intro zenon_H209 ]. % 0.61/0.84 exact (zenon_H1 zenon_H2). % 0.61/0.84 exact (zenon_H208 zenon_H209). % 0.61/0.84 (* end of lemma zenon_L358_ *) % 0.61/0.84 assert (zenon_L359_ : ((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> (~(hskp11)) -> (~(hskp12)) -> (~(c3_1 (a127))) -> (c1_1 (a127)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/((hskp12)\/(hskp11))) -> (c2_1 (a124)) -> (c1_1 (a124)) -> (~(c3_1 (a124))) -> False). % 0.61/0.84 do 0 intro. intros zenon_H1f1 zenon_H1ed zenon_H208 zenon_H1 zenon_Hf4 zenon_Hf5 zenon_H20a zenon_H230 zenon_H226 zenon_H225. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_Ha. zenon_intro zenon_H1f2. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H1cf. zenon_intro zenon_H1f3. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d0. zenon_intro zenon_H1e8. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1ee ]. % 0.61/0.84 apply (zenon_L358_); trivial. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H15b | zenon_intro zenon_H13e ]. % 0.61/0.84 apply (zenon_L206_); trivial. % 0.61/0.84 apply (zenon_L177_); trivial. % 0.61/0.84 (* end of lemma zenon_L359_ *) % 0.61/0.84 assert (zenon_L360_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122)))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> (~(c3_1 (a127))) -> (c1_1 (a127)) -> (ndr1_0) -> (~(c0_1 (a131))) -> (~(c1_1 (a131))) -> (~(c2_1 (a131))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/((hskp12)\/(hskp11))) -> (~(hskp11)) -> (~(hskp12)) -> (c1_1 (a124)) -> (c2_1 (a124)) -> (~(c3_1 (a124))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp27))) -> False). % 0.61/0.84 do 0 intro. intros zenon_H1f4 zenon_H1ed zenon_Hf4 zenon_Hf5 zenon_Ha zenon_He1 zenon_He2 zenon_He3 zenon_H20a zenon_H208 zenon_H1 zenon_H226 zenon_H230 zenon_H225 zenon_H1cb. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H1f1 ]. % 0.61/0.84 apply (zenon_L219_); trivial. % 0.61/0.84 apply (zenon_L359_); trivial. % 0.61/0.84 (* end of lemma zenon_L360_ *) % 0.61/0.84 assert (zenon_L361_ : ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40)))))))) -> (c3_1 (a142)) -> (forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (~(c1_1 (a142))) -> (c1_1 (a127)) -> (~(c3_1 (a127))) -> (~(c2_1 (a127))) -> (ndr1_0) -> (~(c2_1 (a164))) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y)))))) -> (c1_1 (a164)) -> (c3_1 (a164)) -> False). % 0.61/0.84 do 0 intro. intros zenon_Hfc zenon_H8c zenon_H81 zenon_H8a zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_Ha zenon_Hc zenon_Hd1 zenon_Hd zenon_He. % 0.61/0.84 apply (zenon_or_s _ _ zenon_Hfc); [ zenon_intro zenon_H7d | zenon_intro zenon_Hfd ]. % 0.61/0.84 apply (zenon_L266_); trivial. % 0.61/0.84 apply (zenon_or_s _ _ zenon_Hfd); [ zenon_intro zenon_Hf2 | zenon_intro zenon_H29 ]. % 0.61/0.84 apply (zenon_L74_); trivial. % 0.61/0.84 apply (zenon_L63_); trivial. % 0.61/0.84 (* end of lemma zenon_L361_ *) % 0.61/0.84 assert (zenon_L362_ : ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (~(c2_1 (a127))) -> (~(c3_1 (a127))) -> (c1_1 (a127)) -> (~(c1_1 (a142))) -> (c3_1 (a142)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40)))))))) -> (c2_1 (a124)) -> (c1_1 (a124)) -> (~(c3_1 (a124))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y)))))) -> (~(c2_1 (a164))) -> (c1_1 (a164)) -> (c3_1 (a164)) -> False). % 0.61/0.84 do 0 intro. intros zenon_H297 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H8a zenon_H8c zenon_Hfc zenon_H230 zenon_H226 zenon_H225 zenon_Ha zenon_Hd1 zenon_Hc zenon_Hd zenon_He. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H297); [ zenon_intro zenon_H81 | zenon_intro zenon_H298 ]. % 0.61/0.84 apply (zenon_L361_); trivial. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H298); [ zenon_intro zenon_H15b | zenon_intro zenon_H179 ]. % 0.61/0.84 apply (zenon_L206_); trivial. % 0.61/0.84 apply (zenon_L131_); trivial. % 0.61/0.84 (* end of lemma zenon_L362_ *) % 0.61/0.84 assert (zenon_L363_ : ((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/((hskp19)\/(hskp17))) -> (~(c3_1 (a124))) -> (c1_1 (a124)) -> (c2_1 (a124)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp22)) -> (~(c0_1 (a123))) -> (~(c1_1 (a123))) -> (c2_1 (a123)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (~(c2_1 (a127))) -> (~(c3_1 (a127))) -> (c1_1 (a127)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40)))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> False). % 0.61/0.84 do 0 intro. intros zenon_Hab zenon_H143 zenon_H184 zenon_H1c5 zenon_H225 zenon_H226 zenon_H230 zenon_H166 zenon_H251 zenon_H252 zenon_H253 zenon_H297 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_Hfc zenon_H16d zenon_H185 zenon_H95. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H8b. zenon_intro zenon_Had. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H122 | zenon_intro zenon_H136 ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H96 ]. % 0.61/0.84 apply (zenon_L210_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_Ha. zenon_intro zenon_H97. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_Hd. zenon_intro zenon_H98. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H167 | zenon_intro zenon_H186 ]. % 0.61/0.84 apply (zenon_L274_); trivial. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H16e ]. % 0.61/0.84 apply (zenon_L362_); trivial. % 0.61/0.84 exact (zenon_H16d zenon_H16e). % 0.61/0.84 apply (zenon_L279_); trivial. % 0.61/0.84 (* end of lemma zenon_L363_ *) % 0.61/0.84 assert (zenon_L364_ : ((~(hskp12))\/((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/((hskp19)\/(hskp17))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp22)) -> (~(c0_1 (a123))) -> (~(c1_1 (a123))) -> (c2_1 (a123)) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (~(c2_1 (a127))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40)))))))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(hskp4))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp27))) -> (~(c3_1 (a124))) -> (c2_1 (a124)) -> (c1_1 (a124)) -> (~(hskp11)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/((hskp12)\/(hskp11))) -> (~(c2_1 (a131))) -> (~(c1_1 (a131))) -> (~(c0_1 (a131))) -> (ndr1_0) -> (c1_1 (a127)) -> (~(c3_1 (a127))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122)))))) -> False). % 0.61/0.84 do 0 intro. intros zenon_Hae zenon_H143 zenon_H184 zenon_H1c5 zenon_H166 zenon_H251 zenon_H252 zenon_H253 zenon_H297 zenon_Hf3 zenon_Hfc zenon_H16d zenon_H185 zenon_H95 zenon_H1cb zenon_H225 zenon_H230 zenon_H226 zenon_H208 zenon_H20a zenon_He3 zenon_He2 zenon_He1 zenon_Ha zenon_Hf5 zenon_Hf4 zenon_H1ed zenon_H1f4. % 0.61/0.84 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.84 apply (zenon_L360_); trivial. % 0.61/0.84 apply (zenon_L363_); trivial. % 0.61/0.84 (* end of lemma zenon_L364_ *) % 0.61/0.84 assert (zenon_L365_ : ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(c3_1 X79)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> (~(c3_1 (a141))) -> (~(c2_1 (a141))) -> (~(c1_1 (a141))) -> (c1_1 (a127)) -> (forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59)))))) -> (~(c3_1 (a127))) -> (ndr1_0) -> (~(hskp12)) -> False). % 0.61/0.84 do 0 intro. intros zenon_H216 zenon_H20f zenon_H20e zenon_H20d zenon_Hf5 zenon_H1e4 zenon_Hf4 zenon_Ha zenon_H1. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H20c | zenon_intro zenon_H217 ]. % 0.61/0.84 apply (zenon_L190_); trivial. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H1fe | zenon_intro zenon_H2 ]. % 0.61/0.84 apply (zenon_L357_); trivial. % 0.61/0.84 exact (zenon_H1 zenon_H2). % 0.61/0.84 (* end of lemma zenon_L365_ *) % 0.61/0.84 assert (zenon_L366_ : ((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> (~(hskp12)) -> (~(c3_1 (a127))) -> (c1_1 (a127)) -> (~(c1_1 (a141))) -> (~(c2_1 (a141))) -> (~(c3_1 (a141))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(c3_1 X79)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> (c2_1 (a124)) -> (c1_1 (a124)) -> (~(c3_1 (a124))) -> False). % 0.61/0.84 do 0 intro. intros zenon_H1f1 zenon_H1ed zenon_H1 zenon_Hf4 zenon_Hf5 zenon_H20d zenon_H20e zenon_H20f zenon_H216 zenon_H230 zenon_H226 zenon_H225. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H1f1). zenon_intro zenon_Ha. zenon_intro zenon_H1f2. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H1f2). zenon_intro zenon_H1cf. zenon_intro zenon_H1f3. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H1f3). zenon_intro zenon_H1d0. zenon_intro zenon_H1e8. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1ee ]. % 0.61/0.84 apply (zenon_L365_); trivial. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H15b | zenon_intro zenon_H13e ]. % 0.61/0.84 apply (zenon_L206_); trivial. % 0.61/0.84 apply (zenon_L177_); trivial. % 0.61/0.84 (* end of lemma zenon_L366_ *) % 0.61/0.84 assert (zenon_L367_ : ((~(hskp27))\/((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122)))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> (~(c3_1 (a127))) -> (c1_1 (a127)) -> (ndr1_0) -> (~(c0_1 (a131))) -> (~(c1_1 (a131))) -> (~(c2_1 (a131))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(c3_1 X79)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> (~(hskp12)) -> (c1_1 (a124)) -> (c2_1 (a124)) -> (~(c3_1 (a124))) -> (~(c3_1 (a141))) -> (~(c2_1 (a141))) -> (~(c1_1 (a141))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp27))) -> False). % 0.61/0.84 do 0 intro. intros zenon_H1f4 zenon_H1ed zenon_Hf4 zenon_Hf5 zenon_Ha zenon_He1 zenon_He2 zenon_He3 zenon_H216 zenon_H1 zenon_H226 zenon_H230 zenon_H225 zenon_H20f zenon_H20e zenon_H20d zenon_H1cb. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H1f1 ]. % 0.61/0.84 apply (zenon_L227_); trivial. % 0.61/0.84 apply (zenon_L366_); trivial. % 0.61/0.84 (* end of lemma zenon_L367_ *) % 0.61/0.84 assert (zenon_L368_ : ((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/((hskp19)\/(hskp17))) -> (~(c3_1 (a124))) -> (c1_1 (a124)) -> (c2_1 (a124)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp22)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp28))) -> (c1_1 (a128)) -> (c0_1 (a128)) -> (~(c3_1 (a128))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40)))))))) -> (c1_1 (a127)) -> (~(c3_1 (a127))) -> (~(c2_1 (a127))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> False). % 0.61/0.84 do 0 intro. intros zenon_Hab zenon_H143 zenon_H184 zenon_H1c5 zenon_H225 zenon_H226 zenon_H230 zenon_H166 zenon_H242 zenon_H201 zenon_H200 zenon_H1ff zenon_Hfc zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H297 zenon_H244 zenon_H64 zenon_H95. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H8b. zenon_intro zenon_Had. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H122 | zenon_intro zenon_H136 ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H96 ]. % 0.61/0.84 apply (zenon_L210_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_Ha. zenon_intro zenon_H97. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_Hd. zenon_intro zenon_H98. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H3f | zenon_intro zenon_H4f ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_Hd1 | zenon_intro zenon_H243 ]. % 0.61/0.84 apply (zenon_L362_); trivial. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H1fe | zenon_intro zenon_H40 ]. % 0.61/0.84 apply (zenon_L187_); trivial. % 0.61/0.84 exact (zenon_H3f zenon_H40). % 0.61/0.84 apply (zenon_L244_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H136). zenon_intro zenon_Ha. zenon_intro zenon_H137. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H137). zenon_intro zenon_H12f. zenon_intro zenon_H138. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H138). zenon_intro zenon_H12d. zenon_intro zenon_H12e. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H3f | zenon_intro zenon_H4f ]. % 0.61/0.84 apply (zenon_L337_); trivial. % 0.61/0.84 apply (zenon_L244_); trivial. % 0.61/0.84 (* end of lemma zenon_L368_ *) % 0.61/0.84 assert (zenon_L369_ : ((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(~(c3_1 (a128)))))) -> ((~(hskp11))\/((ndr1_0)/\((~(c1_1 (a141)))/\((~(c2_1 (a141)))/\(~(c3_1 (a141))))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(c3_1 X79)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/((hskp12)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> (~(c2_1 (a127))) -> (~(c3_1 (a127))) -> (c1_1 (a127)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp28))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp22)) -> (c2_1 (a124)) -> (c1_1 (a124)) -> (~(c3_1 (a124))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/((hskp19)\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142))))))) -> False). % 0.61/0.84 do 0 intro. intros zenon_H220 zenon_H218 zenon_H216 zenon_H20a zenon_H95 zenon_H64 zenon_H244 zenon_H297 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_Hfc zenon_H242 zenon_H166 zenon_H230 zenon_H226 zenon_H225 zenon_H1c5 zenon_H184 zenon_H143 zenon_Hae. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_Ha. zenon_intro zenon_H221. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H200. zenon_intro zenon_H222. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H201. zenon_intro zenon_H1ff. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H208 | zenon_intro zenon_H219 ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.84 apply (zenon_L189_); trivial. % 0.61/0.84 apply (zenon_L368_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Ha. zenon_intro zenon_H21a. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H20d. zenon_intro zenon_H21b. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H20e. zenon_intro zenon_H20f. % 0.61/0.84 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.84 apply (zenon_L191_); trivial. % 0.61/0.84 apply (zenon_L368_); trivial. % 0.61/0.84 (* end of lemma zenon_L369_ *) % 0.61/0.84 assert (zenon_L370_ : ((ndr1_0)/\((c1_1 (a127))/\((~(c2_1 (a127)))/\(~(c3_1 (a127)))))) -> ((~(hskp4))\/((ndr1_0)/\((c0_1 (a128))/\((c1_1 (a128))/\(~(c3_1 (a128))))))) -> ((~(hskp28))\/((ndr1_0)/\((c1_1 (a133))/\((c2_1 (a133))/\(c3_1 (a133)))))) -> ((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp28))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a155))/\((~(c0_1 (a155)))/\(~(c2_1 (a155))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a176))/\((~(c1_1 (a176)))/\(~(c2_1 (a176))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/((hskp19)\/(hskp17))) -> (~(c3_1 (a124))) -> (c1_1 (a124)) -> (c2_1 (a124)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp22)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((c1_1 X13)\/(~(c2_1 X13))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(hskp4))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40))))))\/((hskp25)\/(hskp6))) -> (c2_1 (a123)) -> (~(c1_1 (a123))) -> (~(c0_1 (a123))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(~(c3_1 X26))))))\/((forall X7 : zenon_U, ((ndr1_0)->((c2_1 X7)\/((c3_1 X7)\/(~(c1_1 X7))))))\/(forall X40 : zenon_U, ((ndr1_0)->((c2_1 X40)\/((~(c0_1 X40))\/(~(c3_1 X40)))))))) -> ((forall X74 : zenon_U, ((ndr1_0)->((c0_1 X74)\/((~(c2_1 X74))\/(~(c3_1 X74))))))\/((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c2_1 X44)\/(~(c0_1 X44))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c0_1 X22)\/((c1_1 X22)\/(~(c3_1 X22))))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(~(c1_1 Y))))))\/(forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c3_1 (a189))/\((~(c0_1 (a189)))/\(~(c1_1 (a189))))))) -> ((~(hskp19))\/((ndr1_0)/\((c1_1 (a164))/\((c3_1 (a164))/\(~(c2_1 (a164))))))) -> ((~(hskp12))\/((ndr1_0)/\((c0_1 (a142))/\((c3_1 (a142))/\(~(c1_1 (a142))))))) -> ((forall X27 : zenon_U, ((ndr1_0)->((c1_1 X27)\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X76 : zenon_U, ((ndr1_0)->((~(c0_1 X76))\/((~(c1_1 X76))\/(~(c3_1 X76)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c3_1 X5)\/(~(c2_1 X5))))))\/(hskp27))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/((hskp12)\/(hskp11))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c0_1 X59)\/((c3_1 X59)\/(~(c1_1 X59))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c3_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(forall X34 : zenon_U, ((ndr1_0)->((~(c0_1 X34))\/((~(c2_1 X34))\/(~(c3_1 X34)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c0_1 (a122))/\((c2_1 (a122))/\(c3_1 (a122)))))) -> ((forall X79 : zenon_U, ((ndr1_0)->((c1_1 X79)\/((c2_1 X79)\/(c3_1 X79)))))\/((forall X9 : zenon_U, ((ndr1_0)->((c3_1 X9)\/((~(c0_1 X9))\/(~(c1_1 X9))))))\/(hskp12))) -> ((~(hskp11))\/((ndr1_0)/\((~(c1_1 (a141)))/\((~(c2_1 (a141)))/\(~(c3_1 (a141))))))) -> ((~(hskp6))\/((ndr1_0)/\((~(c0_1 (a131)))/\((~(c1_1 (a131)))/\(~(c2_1 (a131))))))) -> False). % 0.61/0.84 do 0 intro. intros zenon_H288 zenon_H289 zenon_H64 zenon_H244 zenon_H242 zenon_H143 zenon_H184 zenon_H1c5 zenon_H225 zenon_H226 zenon_H230 zenon_H166 zenon_H185 zenon_H3d zenon_H253 zenon_H252 zenon_H251 zenon_Hfc zenon_H17c zenon_H238 zenon_H67 zenon_H95 zenon_Hae zenon_H297 zenon_H1cb zenon_H20a zenon_H1ed zenon_H1f4 zenon_H216 zenon_H218 zenon_Hee. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_Ha. zenon_intro zenon_H28a. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_Hf5. zenon_intro zenon_H28b. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H16d | zenon_intro zenon_H220 ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H3b | zenon_intro zenon_Hef ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H122 | zenon_intro zenon_H136 ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H96 ]. % 0.61/0.84 apply (zenon_L210_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_Ha. zenon_intro zenon_H97. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_Hd. zenon_intro zenon_H98. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H164 | zenon_intro zenon_H17e ]. % 0.61/0.84 apply (zenon_L209_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_Ha. zenon_intro zenon_H180. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H172. zenon_intro zenon_H181. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H39 | zenon_intro zenon_H63 ]. % 0.61/0.84 apply (zenon_L326_); trivial. % 0.61/0.84 apply (zenon_L239_); trivial. % 0.61/0.84 apply (zenon_L279_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Ha. zenon_intro zenon_Hf0. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He1. zenon_intro zenon_Hf1. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_He2. zenon_intro zenon_He3. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H208 | zenon_intro zenon_H219 ]. % 0.61/0.84 apply (zenon_L364_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Ha. zenon_intro zenon_H21a. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H20d. zenon_intro zenon_H21b. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H20e. zenon_intro zenon_H20f. % 0.61/0.84 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.84 apply (zenon_L367_); trivial. % 0.61/0.84 apply (zenon_L363_); trivial. % 0.61/0.84 apply (zenon_L369_); trivial. % 0.61/0.84 (* end of lemma zenon_L370_ *) % 0.61/0.84 apply NNPP. intro zenon_G. % 0.61/0.84 apply zenon_G. zenon_intro zenon_H299. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H299). zenon_intro zenon_H29b. zenon_intro zenon_H29a. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H29a). zenon_intro zenon_H29d. zenon_intro zenon_H29c. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H29f. zenon_intro zenon_H29e. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H2a1. zenon_intro zenon_H2a0. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H289. zenon_intro zenon_H2a2. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2a2). zenon_intro zenon_H2a4. zenon_intro zenon_H2a3. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2a3). zenon_intro zenon_Hee. zenon_intro zenon_H2a5. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H183. zenon_intro zenon_H2a6. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H14a. zenon_intro zenon_H2a7. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H115. zenon_intro zenon_H2a8. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H2aa. zenon_intro zenon_H2a9. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H218. zenon_intro zenon_H2ab. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2ab). zenon_intro zenon_Hae. zenon_intro zenon_H2ac. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2ac). zenon_intro zenon_Haf. zenon_intro zenon_H2ad. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2ad). zenon_intro zenon_H2af. zenon_intro zenon_H2ae. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2ae). zenon_intro zenon_H89. zenon_intro zenon_H2b0. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2b2. zenon_intro zenon_H2b1. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H143. zenon_intro zenon_H2b3. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H68. zenon_intro zenon_H2b4. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H95. zenon_intro zenon_H2b5. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H1bd. zenon_intro zenon_H2b6. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H267. zenon_intro zenon_H2b7. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H184. zenon_intro zenon_H2b8. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H1a8. zenon_intro zenon_H2b9. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H111. zenon_intro zenon_H2ba. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H67. zenon_intro zenon_H2bb. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2bd. zenon_intro zenon_H2bc. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H1f4. zenon_intro zenon_H2be. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H64. zenon_intro zenon_H2bf. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_Hcb. zenon_intro zenon_H2c0. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H1a9. zenon_intro zenon_H2c1. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H284. zenon_intro zenon_H2c2. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2c2). zenon_intro zenon_H1c7. zenon_intro zenon_H2c3. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H2c5. zenon_intro zenon_H2c4. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2c4). zenon_intro zenon_H1cb. zenon_intro zenon_H2c6. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H14f. zenon_intro zenon_H2c7. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H21c. zenon_intro zenon_H2c8. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2c8). zenon_intro zenon_Hec. zenon_intro zenon_H2c9. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2c9). zenon_intro zenon_H282. zenon_intro zenon_H2ca. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2ca). zenon_intro zenon_H185. zenon_intro zenon_H2cb. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H1f5. zenon_intro zenon_H2cc. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H293. zenon_intro zenon_H2cd. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_H26f. zenon_intro zenon_H2ce. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H238. zenon_intro zenon_H2cf. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H84. zenon_intro zenon_H2d0. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H93. zenon_intro zenon_H2d1. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_Ha5. zenon_intro zenon_H2d2. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2d2). zenon_intro zenon_H5d. zenon_intro zenon_H2d3. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_H141. zenon_intro zenon_H2d4. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_H2d6. zenon_intro zenon_H2d5. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H10d. zenon_intro zenon_H2d7. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_H2d9. zenon_intro zenon_H2d8. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H14b. zenon_intro zenon_H2da. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H12b. zenon_intro zenon_H2db. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H17f. zenon_intro zenon_H2dc. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H242. zenon_intro zenon_H2dd. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_Hde. zenon_intro zenon_H2de. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H2e0. zenon_intro zenon_H2df. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H1e2. zenon_intro zenon_H2e1. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H1ef. zenon_intro zenon_H2e2. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_H2e4. zenon_intro zenon_H2e3. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_H2e6. zenon_intro zenon_H2e5. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_H2e8. zenon_intro zenon_H2e7. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H1ed. zenon_intro zenon_H2e9. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_H2eb. zenon_intro zenon_H2ea. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_Hc7. zenon_intro zenon_H2ec. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H147. zenon_intro zenon_H2ed. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H16b. zenon_intro zenon_H2ee. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H2f0. zenon_intro zenon_H2ef. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_H17c. zenon_intro zenon_H2f1. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_Hcc. zenon_intro zenon_H2f2. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H27. zenon_intro zenon_H2f3. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H216. zenon_intro zenon_H2f4. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H2f6. zenon_intro zenon_H2f5. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H1c5. zenon_intro zenon_H2f7. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_Hfc. zenon_intro zenon_H2f8. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H2fa. zenon_intro zenon_H2f9. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_H19a. zenon_intro zenon_H2fb. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2fb). zenon_intro zenon_Ha7. zenon_intro zenon_H2fc. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H286. zenon_intro zenon_H2fd. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2fd). zenon_intro zenon_H7b. zenon_intro zenon_H2fe. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H300. zenon_intro zenon_H2ff. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H297. zenon_intro zenon_H301. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H187. zenon_intro zenon_H302. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H18b. zenon_intro zenon_H303. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H303). zenon_intro zenon_H21e. zenon_intro zenon_H304. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H244. zenon_intro zenon_H305. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H305). zenon_intro zenon_H100. zenon_intro zenon_H306. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H308. zenon_intro zenon_H307. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H307). zenon_intro zenon_H30a. zenon_intro zenon_H309. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H309). zenon_intro zenon_Hdc. zenon_intro zenon_H30b. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H30b). zenon_intro zenon_H3d. zenon_intro zenon_H30c. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_H124. zenon_intro zenon_H30d. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_H13c. zenon_intro zenon_H30e. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H17. zenon_intro zenon_H30f. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_H20a. zenon_intro zenon_H310. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H310). zenon_intro zenon_H312. zenon_intro zenon_H311. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_H26b. zenon_intro zenon_H313. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_H166. zenon_intro zenon_H314. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H316. zenon_intro zenon_H315. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H315). zenon_intro zenon_H318. zenon_intro zenon_H317. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H31a. zenon_intro zenon_H319. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H319). zenon_intro zenon_H31c. zenon_intro zenon_H31b. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H31b). zenon_intro zenon_H61. zenon_intro zenon_H31d. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H31d). zenon_intro zenon_H50. zenon_intro zenon_H31e. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H31e). zenon_intro zenon_H320. zenon_intro zenon_H31f. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H31f). zenon_intro zenon_H223. zenon_intro zenon_H321. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H321). zenon_intro zenon_H25c. zenon_intro zenon_H322. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H322). zenon_intro zenon_H324. zenon_intro zenon_H323. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H323). zenon_intro zenon_H7. zenon_intro zenon_H325. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_H23 | zenon_intro zenon_H326 ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_Hda | zenon_intro zenon_H327 ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_Hea | zenon_intro zenon_H328 ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H4d | zenon_intro zenon_H288 ]. % 0.61/0.84 apply (zenon_L73_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_Ha. zenon_intro zenon_H28a. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_Hf5. zenon_intro zenon_H28b. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.61/0.84 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H3b | zenon_intro zenon_Hef ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H149 ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H41 | zenon_intro zenon_Hce ]. % 0.61/0.84 apply (zenon_L83_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Ha. zenon_intro zenon_Hcf. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hb5. zenon_intro zenon_Hd0. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_Hb3. zenon_intro zenon_Hb4. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H5f | zenon_intro zenon_H112 ]. % 0.61/0.84 apply (zenon_L84_); trivial. % 0.61/0.84 apply (zenon_L85_); trivial. % 0.61/0.84 apply (zenon_L114_); trivial. % 0.61/0.84 apply (zenon_L115_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H328). zenon_intro zenon_Ha. zenon_intro zenon_H329. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H329). zenon_intro zenon_H153. zenon_intro zenon_H32a. % 0.61/0.84 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_H154. zenon_intro zenon_H152. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H4d | zenon_intro zenon_H288 ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H16d | zenon_intro zenon_H220 ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H3b | zenon_intro zenon_Hef ]. % 0.61/0.84 apply (zenon_L134_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Ha. zenon_intro zenon_Hf0. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He1. zenon_intro zenon_Hf1. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_He2. zenon_intro zenon_He3. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H149 ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H41 | zenon_intro zenon_Hce ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha8 ]. % 0.61/0.84 apply (zenon_L67_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H6e. zenon_intro zenon_Haa. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H15 | zenon_intro zenon_H86 ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b9 ]. % 0.61/0.84 apply (zenon_L144_); trivial. % 0.61/0.84 apply (zenon_L148_); trivial. % 0.61/0.84 apply (zenon_L152_); trivial. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H8b. zenon_intro zenon_Had. % 0.61/0.84 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 0.61/0.84 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha8 ]. % 0.61/0.84 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H122 | zenon_intro zenon_H136 ]. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H96 ]. % 0.61/0.85 apply (zenon_L158_); trivial. % 0.61/0.85 apply (zenon_L66_); trivial. % 0.61/0.85 apply (zenon_L160_); trivial. % 0.61/0.85 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.61/0.85 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H6e. zenon_intro zenon_Haa. % 0.61/0.85 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H15 | zenon_intro zenon_H86 ]. % 0.61/0.85 apply (zenon_L39_); trivial. % 0.61/0.85 apply (zenon_L152_); trivial. % 0.61/0.85 apply (zenon_L61_); trivial. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_Ha. zenon_intro zenon_H14c. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H118. zenon_intro zenon_H14d. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H127. zenon_intro zenon_H116. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H41 | zenon_intro zenon_Hce ]. % 0.61/0.85 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.85 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha8 ]. % 0.61/0.85 apply (zenon_L121_); trivial. % 0.61/0.85 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.61/0.85 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H6e. zenon_intro zenon_Haa. % 0.61/0.85 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H122 | zenon_intro zenon_H136 ]. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H25 | zenon_intro zenon_H69 ]. % 0.61/0.85 apply (zenon_L100_); trivial. % 0.61/0.85 apply (zenon_L162_); trivial. % 0.61/0.85 apply (zenon_L94_); trivial. % 0.61/0.85 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_Ha. zenon_intro zenon_Hac. % 0.61/0.85 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H8b. zenon_intro zenon_Had. % 0.61/0.85 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_H8c. zenon_intro zenon_H8a. % 0.61/0.85 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha8 ]. % 0.61/0.85 apply (zenon_L164_); trivial. % 0.61/0.85 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.61/0.85 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H6e. zenon_intro zenon_Haa. % 0.61/0.85 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H15 | zenon_intro zenon_H86 ]. % 0.61/0.85 apply (zenon_L39_); trivial. % 0.61/0.85 apply (zenon_L165_); trivial. % 0.61/0.85 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Ha. zenon_intro zenon_Hcf. % 0.61/0.85 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hb5. zenon_intro zenon_Hd0. % 0.61/0.85 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_Hb3. zenon_intro zenon_Hb4. % 0.61/0.85 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.85 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha8 ]. % 0.61/0.85 apply (zenon_L167_); trivial. % 0.61/0.85 apply (zenon_L183_); trivial. % 0.61/0.85 apply (zenon_L186_); trivial. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_Ha. zenon_intro zenon_H221. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H200. zenon_intro zenon_H222. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H201. zenon_intro zenon_H1ff. % 0.61/0.85 apply (zenon_L194_); trivial. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_Ha. zenon_intro zenon_H28a. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_Hf5. zenon_intro zenon_H28b. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H16d | zenon_intro zenon_H220 ]. % 0.61/0.85 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H3b | zenon_intro zenon_Hef ]. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H149 ]. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H41 | zenon_intro zenon_Hce ]. % 0.61/0.85 apply (zenon_L83_); trivial. % 0.61/0.85 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Ha. zenon_intro zenon_Hcf. % 0.61/0.85 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hb5. zenon_intro zenon_Hd0. % 0.61/0.85 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_Hb3. zenon_intro zenon_Hb4. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H5f | zenon_intro zenon_H112 ]. % 0.61/0.85 apply (zenon_L84_); trivial. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H9b. zenon_intro zenon_H114. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.61/0.85 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.85 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha8 ]. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H96 ]. % 0.61/0.85 apply (zenon_L4_); trivial. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_Ha. zenon_intro zenon_H97. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_Hd. zenon_intro zenon_H98. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H164 | zenon_intro zenon_H17e ]. % 0.61/0.85 apply (zenon_L196_); trivial. % 0.61/0.85 apply (zenon_L198_); trivial. % 0.61/0.85 apply (zenon_L51_); trivial. % 0.61/0.85 apply (zenon_L52_); trivial. % 0.61/0.85 apply (zenon_L114_); trivial. % 0.61/0.85 apply (zenon_L115_); trivial. % 0.61/0.85 apply (zenon_L202_); trivial. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_Ha. zenon_intro zenon_H32b. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H226. zenon_intro zenon_H32c. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H230. zenon_intro zenon_H225. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H4d | zenon_intro zenon_H288 ]. % 0.61/0.85 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H3b | zenon_intro zenon_Hef ]. % 0.61/0.85 apply (zenon_L216_); trivial. % 0.61/0.85 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Ha. zenon_intro zenon_Hf0. % 0.61/0.85 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He1. zenon_intro zenon_Hf1. % 0.61/0.85 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_He2. zenon_intro zenon_He3. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H149 ]. % 0.61/0.85 apply (zenon_L231_); trivial. % 0.61/0.85 apply (zenon_L235_); trivial. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_Ha. zenon_intro zenon_H28a. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_Hf5. zenon_intro zenon_H28b. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.61/0.85 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H3b | zenon_intro zenon_Hef ]. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H149 ]. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H41 | zenon_intro zenon_Hce ]. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H115); [ zenon_intro zenon_H5f | zenon_intro zenon_H112 ]. % 0.61/0.85 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha8 ]. % 0.61/0.85 apply (zenon_L240_); trivial. % 0.61/0.85 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.61/0.85 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H6e. zenon_intro zenon_Haa. % 0.61/0.85 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H122 | zenon_intro zenon_H136 ]. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H96 ]. % 0.61/0.85 apply (zenon_L210_); trivial. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_Ha. zenon_intro zenon_H97. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_Hd. zenon_intro zenon_H98. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b9 ]. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H164 | zenon_intro zenon_H17e ]. % 0.61/0.85 apply (zenon_L135_); trivial. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_Ha. zenon_intro zenon_H180. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H172. zenon_intro zenon_H181. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H189 | zenon_intro zenon_H1aa ]. % 0.61/0.85 apply (zenon_L137_); trivial. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha. zenon_intro zenon_H1ab. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H18f. zenon_intro zenon_H1ac. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H39 | zenon_intro zenon_H63 ]. % 0.61/0.85 apply (zenon_L245_); trivial. % 0.61/0.85 apply (zenon_L239_); trivial. % 0.61/0.85 apply (zenon_L248_); trivial. % 0.61/0.85 apply (zenon_L252_); trivial. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H112). zenon_intro zenon_Ha. zenon_intro zenon_H113. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H113). zenon_intro zenon_H9b. zenon_intro zenon_H114. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H114). zenon_intro zenon_H9c. zenon_intro zenon_H9a. % 0.61/0.85 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_H5 | zenon_intro zenon_Ha8 ]. % 0.61/0.85 apply (zenon_L240_); trivial. % 0.61/0.85 apply (zenon_and_s _ _ zenon_Ha8). zenon_intro zenon_Ha. zenon_intro zenon_Ha9. % 0.61/0.85 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_H6e. zenon_intro zenon_Haa. % 0.61/0.85 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_H6f. zenon_intro zenon_H6d. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H122 | zenon_intro zenon_H136 ]. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H96 ]. % 0.61/0.85 apply (zenon_L210_); trivial. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H96). zenon_intro zenon_Ha. zenon_intro zenon_H97. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H97). zenon_intro zenon_Hd. zenon_intro zenon_H98. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H98). zenon_intro zenon_He. zenon_intro zenon_Hc. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b9 ]. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H184); [ zenon_intro zenon_H164 | zenon_intro zenon_H17e ]. % 0.61/0.85 apply (zenon_L135_); trivial. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H17e). zenon_intro zenon_Ha. zenon_intro zenon_H180. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H180). zenon_intro zenon_H172. zenon_intro zenon_H181. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H181). zenon_intro zenon_H170. zenon_intro zenon_H171. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H1a8); [ zenon_intro zenon_H189 | zenon_intro zenon_H1aa ]. % 0.61/0.85 apply (zenon_L137_); trivial. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H1aa). zenon_intro zenon_Ha. zenon_intro zenon_H1ab. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H1ab). zenon_intro zenon_H18f. zenon_intro zenon_H1ac. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H1ac). zenon_intro zenon_H18d. zenon_intro zenon_H18e. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H39 | zenon_intro zenon_H63 ]. % 0.61/0.85 apply (zenon_L245_); trivial. % 0.61/0.85 apply (zenon_L47_); trivial. % 0.61/0.85 apply (zenon_L254_); trivial. % 0.61/0.85 apply (zenon_L252_); trivial. % 0.61/0.85 apply (zenon_L263_); trivial. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_Ha. zenon_intro zenon_H14c. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H118. zenon_intro zenon_H14d. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H127. zenon_intro zenon_H116. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H41 | zenon_intro zenon_Hce ]. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H208 | zenon_intro zenon_H219 ]. % 0.61/0.85 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.85 apply (zenon_L264_); trivial. % 0.61/0.85 apply (zenon_L270_); trivial. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Ha. zenon_intro zenon_H21a. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H20d. zenon_intro zenon_H21b. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H20e. zenon_intro zenon_H20f. % 0.61/0.85 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.85 apply (zenon_L271_); trivial. % 0.61/0.85 apply (zenon_L270_); trivial. % 0.61/0.85 apply (zenon_L273_); trivial. % 0.61/0.85 apply (zenon_L115_); trivial. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_Ha. zenon_intro zenon_H32d. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H253. zenon_intro zenon_H32e. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H251. zenon_intro zenon_H252. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H29d); [ zenon_intro zenon_Hda | zenon_intro zenon_H327 ]. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H4d | zenon_intro zenon_H288 ]. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H16d | zenon_intro zenon_H220 ]. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H26d | zenon_intro zenon_H32f ]. % 0.61/0.85 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H3b | zenon_intro zenon_Hef ]. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H149 ]. % 0.61/0.85 apply (zenon_L282_); trivial. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_Ha. zenon_intro zenon_H14c. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H118. zenon_intro zenon_H14d. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H127. zenon_intro zenon_H116. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H41 | zenon_intro zenon_Hce ]. % 0.61/0.85 apply (zenon_L295_); trivial. % 0.61/0.85 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Ha. zenon_intro zenon_Hcf. % 0.61/0.85 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hb5. zenon_intro zenon_Hd0. % 0.61/0.85 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_Hb3. zenon_intro zenon_Hb4. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H122 | zenon_intro zenon_H136 ]. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H96 ]. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b9 ]. % 0.61/0.85 apply (zenon_L297_); trivial. % 0.61/0.85 apply (zenon_L294_); trivial. % 0.61/0.85 apply (zenon_L275_); trivial. % 0.61/0.85 apply (zenon_L279_); trivial. % 0.61/0.85 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Ha. zenon_intro zenon_Hf0. % 0.61/0.85 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_He1. zenon_intro zenon_Hf1. % 0.61/0.85 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_He2. zenon_intro zenon_He3. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H149 ]. % 0.61/0.85 apply (zenon_L282_); trivial. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_Ha. zenon_intro zenon_H14c. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H118. zenon_intro zenon_H14d. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H127. zenon_intro zenon_H116. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H41 | zenon_intro zenon_Hce ]. % 0.61/0.85 apply (zenon_L306_); trivial. % 0.61/0.85 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Ha. zenon_intro zenon_Hcf. % 0.61/0.85 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hb5. zenon_intro zenon_Hd0. % 0.61/0.85 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_Hb3. zenon_intro zenon_Hb4. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H122 | zenon_intro zenon_H136 ]. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H96 ]. % 0.61/0.85 apply (zenon_L310_); trivial. % 0.61/0.85 apply (zenon_L275_); trivial. % 0.61/0.85 apply (zenon_L279_); trivial. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_Ha. zenon_intro zenon_H330. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H330). zenon_intro zenon_H279. zenon_intro zenon_H331. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H27a. zenon_intro zenon_H27b. % 0.61/0.85 apply (zenon_or_s _ _ zenon_Hee); [ zenon_intro zenon_H3b | zenon_intro zenon_Hef ]. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H149 ]. % 0.61/0.85 apply (zenon_L282_); trivial. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H149). zenon_intro zenon_Ha. zenon_intro zenon_H14c. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_H118. zenon_intro zenon_H14d. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H14d). zenon_intro zenon_H127. zenon_intro zenon_H116. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H41 | zenon_intro zenon_Hce ]. % 0.61/0.85 apply (zenon_L314_); trivial. % 0.61/0.85 apply (zenon_and_s _ _ zenon_Hce). zenon_intro zenon_Ha. zenon_intro zenon_Hcf. % 0.61/0.85 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hb5. zenon_intro zenon_Hd0. % 0.61/0.85 apply (zenon_and_s _ _ zenon_Hd0). zenon_intro zenon_Hb3. zenon_intro zenon_Hb4. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H122 | zenon_intro zenon_H136 ]. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H3 | zenon_intro zenon_H96 ]. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H1bd); [ zenon_intro zenon_H198 | zenon_intro zenon_H1b9 ]. % 0.61/0.85 apply (zenon_L297_); trivial. % 0.61/0.85 apply (zenon_L313_); trivial. % 0.61/0.85 apply (zenon_L275_); trivial. % 0.61/0.85 apply (zenon_L279_); trivial. % 0.61/0.85 apply (zenon_L322_); trivial. % 0.61/0.85 apply (zenon_L325_); trivial. % 0.61/0.85 apply (zenon_L341_); trivial. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_Ha. zenon_intro zenon_H32b. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H226. zenon_intro zenon_H32c. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H230. zenon_intro zenon_H225. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H4d | zenon_intro zenon_H288 ]. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H16d | zenon_intro zenon_H220 ]. % 0.61/0.85 apply (zenon_L348_); trivial. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_Ha. zenon_intro zenon_H221. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H200. zenon_intro zenon_H222. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H222). zenon_intro zenon_H201. zenon_intro zenon_H1ff. % 0.61/0.85 apply (zenon_or_s _ _ zenon_H218); [ zenon_intro zenon_H208 | zenon_intro zenon_H219 ]. % 0.61/0.85 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.85 apply (zenon_L189_); trivial. % 0.61/0.85 apply (zenon_L356_); trivial. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_Ha. zenon_intro zenon_H21a. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H20d. zenon_intro zenon_H21b. % 0.61/0.85 apply (zenon_and_s _ _ zenon_H21b). zenon_intro zenon_H20e. zenon_intro zenon_H20f. % 0.61/0.85 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H1 | zenon_intro zenon_Hab ]. % 0.61/0.85 apply (zenon_L191_); trivial. % 0.61/0.85 apply (zenon_L356_); trivial. % 0.61/0.85 apply (zenon_L370_); trivial. % 0.61/0.85 Qed. % 0.61/0.85 % SZS output end Proof % 0.61/0.85 (* END-PROOF *) % 0.61/0.85 nodes searched: 27978 % 0.61/0.85 max branch formulas: 490 % 0.61/0.85 proof nodes created: 3033 % 0.61/0.85 formulas created: 34080 % 0.61/0.85 %------------------------------------------------------------------------------